## Begin on: Sun Oct 20 12:11:16 CEST 2019

ENUMERATION
No. of records: 2077

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 31 (27 non-degenerate)
2     [ E3b] : 221 (190 non-degenerate)
2*    [E3*b] : 221 (190 non-degenerate)
2ex   [E3*c] : 6 (6 non-degenerate)
2*ex  [ E3c] : 6 (6 non-degenerate)
2P    [  E2] : 44 (43 non-degenerate)
2Pex  [ E1a] : 0
3     [ E5a] : 1326 (832 non-degenerate)
4     [  E4] : 90 (40 non-degenerate)
4*    [ E4*] : 90 (40 non-degenerate)
4P    [  E6] : 16 (2 non-degenerate)
5     [ E3a] : 12 (12 non-degenerate)
5*    [E3*a] : 12 (12 non-degenerate)
5P    [ E5b] : 2 (2 non-degenerate)

E24.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, A, B, A, B, B, A, B, A, B, A, B, B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, B, A, B, A, B, A, B, S^2, S^-1 * B * S * A, S^-1 * Z * S * Z, S^-1 * A * S * B, Z^24, (Z^-1 * A * B^-1 * A^-1 * B)^24 ]
Map::
	R = (1, 26, 50, 74, 2, 28, 52, 76, 4, 30, 54, 78, 6, 32, 56, 80, 8, 34, 58, 82, 10, 36, 60, 84, 12, 38, 62, 86, 14, 40, 64, 88, 16, 42, 66, 90, 18, 44, 68, 92, 20, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 45, 69, 93, 21, 43, 67, 91, 19, 41, 65, 89, 17, 39, 63, 87, 15, 37, 61, 85, 13, 35, 59, 83, 11, 33, 57, 81, 9, 31, 55, 79, 7, 29, 53, 77, 5, 27, 51, 75, 3, 25, 49, 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) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, Z^-1 * B * Z * A, Z^-1 * A * Z * B^-1, (S * Z)^2, S * B * S * A, Z^5 * B^-1 * Z^7 ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 33, 57, 81, 9, 37, 61, 85, 13, 41, 65, 89, 17, 45, 69, 93, 21, 47, 71, 95, 23, 43, 67, 91, 19, 39, 63, 87, 15, 35, 59, 83, 11, 31, 55, 79, 7, 27, 51, 75, 3, 30, 54, 78, 6, 34, 58, 82, 10, 38, 62, 86, 14, 42, 66, 90, 18, 46, 70, 94, 22, 48, 72, 96, 24, 44, 68, 92, 20, 40, 64, 88, 16, 36, 60, 84, 12, 32, 56, 80, 8, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 54)(3, 49)(4, 55)(5, 58)(6, 50)(7, 52)(8, 59)(9, 62)(10, 53)(11, 56)(12, 63)(13, 66)(14, 57)(15, 60)(16, 67)(17, 70)(18, 61)(19, 64)(20, 71)(21, 72)(22, 65)(23, 68)(24, 69)(25, 75)(26, 78)(27, 73)(28, 79)(29, 82)(30, 74)(31, 76)(32, 83)(33, 86)(34, 77)(35, 80)(36, 87)(37, 90)(38, 81)(39, 84)(40, 91)(41, 94)(42, 85)(43, 88)(44, 95)(45, 96)(46, 89)(47, 92)(48, 93)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^3, S * A * S * B, (A^-1, Z), (S * Z)^2, A^-1 * Z^-8 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 36, 60, 84, 12, 42, 66, 90, 18, 47, 71, 95, 23, 41, 65, 89, 17, 35, 59, 83, 11, 29, 53, 77, 5, 32, 56, 80, 8, 38, 62, 86, 14, 44, 68, 92, 20, 48, 72, 96, 24, 45, 69, 93, 21, 39, 63, 87, 15, 33, 57, 81, 9, 27, 51, 75, 3, 31, 55, 79, 7, 37, 61, 85, 13, 43, 67, 91, 19, 46, 70, 94, 22, 40, 64, 88, 16, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 55)(3, 53)(4, 57)(5, 49)(6, 61)(7, 56)(8, 50)(9, 59)(10, 63)(11, 52)(12, 67)(13, 62)(14, 54)(15, 65)(16, 69)(17, 58)(18, 70)(19, 68)(20, 60)(21, 71)(22, 72)(23, 64)(24, 66)(25, 77)(26, 80)(27, 73)(28, 83)(29, 75)(30, 86)(31, 74)(32, 79)(33, 76)(34, 89)(35, 81)(36, 92)(37, 78)(38, 85)(39, 82)(40, 95)(41, 87)(42, 96)(43, 84)(44, 91)(45, 88)(46, 90)(47, 93)(48, 94)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, B^3, A^3, Z^-1 * A^-1 * Z * B, A * Z^-1 * B^-1 * Z, S * A * S * B, (S * Z)^2, Z^-3 * A * Z^-5 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 36, 60, 84, 12, 42, 66, 90, 18, 45, 69, 93, 21, 39, 63, 87, 15, 33, 57, 81, 9, 27, 51, 75, 3, 31, 55, 79, 7, 37, 61, 85, 13, 43, 67, 91, 19, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89, 17, 35, 59, 83, 11, 29, 53, 77, 5, 32, 56, 80, 8, 38, 62, 86, 14, 44, 68, 92, 20, 46, 70, 94, 22, 40, 64, 88, 16, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 55)(3, 53)(4, 57)(5, 49)(6, 61)(7, 56)(8, 50)(9, 59)(10, 63)(11, 52)(12, 67)(13, 62)(14, 54)(15, 65)(16, 69)(17, 58)(18, 72)(19, 68)(20, 60)(21, 71)(22, 66)(23, 64)(24, 70)(25, 77)(26, 80)(27, 73)(28, 83)(29, 75)(30, 86)(31, 74)(32, 79)(33, 76)(34, 89)(35, 81)(36, 92)(37, 78)(38, 85)(39, 82)(40, 95)(41, 87)(42, 94)(43, 84)(44, 91)(45, 88)(46, 96)(47, 93)(48, 90)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, S * A * S * B, Z^-1 * A * Z * B^-1, A^4, Z^-1 * B * Z * A^-1, (S * Z)^2, A^-2 * Z * A^-2 * Z^-1, Z^3 * B * Z^3, (Z * B^-1 * Z)^3 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 37, 61, 85, 13, 44, 68, 92, 20, 36, 60, 84, 12, 29, 53, 77, 5, 32, 56, 80, 8, 39, 63, 87, 15, 45, 69, 93, 21, 47, 71, 95, 23, 41, 65, 89, 17, 33, 57, 81, 9, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 42, 66, 90, 18, 34, 58, 82, 10, 27, 51, 75, 3, 31, 55, 79, 7, 38, 62, 86, 14, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)
	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, 67)(14, 70)(15, 54)(16, 56)(17, 60)(18, 71)(19, 72)(20, 59)(21, 61)(22, 63)(23, 68)(24, 69)(25, 77)(26, 80)(27, 73)(28, 84)(29, 81)(30, 87)(31, 74)(32, 88)(33, 75)(34, 76)(35, 92)(36, 89)(37, 93)(38, 78)(39, 94)(40, 79)(41, 82)(42, 83)(43, 85)(44, 95)(45, 96)(46, 86)(47, 90)(48, 91)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, B^-2 * A^-2, A^4, S * B * S * A, Z^-1 * A * Z * B^-1, (S * Z)^2, Z^-1 * B * Z * A^-1, Z^2 * B^-1 * Z^4 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 37, 61, 85, 13, 42, 66, 90, 18, 34, 58, 82, 10, 27, 51, 75, 3, 31, 55, 79, 7, 38, 62, 86, 14, 45, 69, 93, 21, 47, 71, 95, 23, 41, 65, 89, 17, 33, 57, 81, 9, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 44, 68, 92, 20, 36, 60, 84, 12, 29, 53, 77, 5, 32, 56, 80, 8, 39, 63, 87, 15, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)
	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, 69)(14, 70)(15, 54)(16, 56)(17, 60)(18, 71)(19, 61)(20, 59)(21, 72)(22, 63)(23, 68)(24, 67)(25, 77)(26, 80)(27, 73)(28, 84)(29, 81)(30, 87)(31, 74)(32, 88)(33, 75)(34, 76)(35, 92)(36, 89)(37, 91)(38, 78)(39, 94)(40, 79)(41, 82)(42, 83)(43, 96)(44, 95)(45, 85)(46, 86)(47, 90)(48, 93)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A, Z^-1), Z * B * Z^-1 * A^-1, S * B * S * A, (S * Z)^2, Z^-1 * B * Z * A^-1, Z^3 * B^-1 * Z, B^-2 * A^-4, A^6 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 34, 58, 82, 10, 27, 51, 75, 3, 31, 55, 79, 7, 38, 62, 86, 14, 42, 66, 90, 18, 33, 57, 81, 9, 39, 63, 87, 15, 45, 69, 93, 21, 47, 71, 95, 23, 41, 65, 89, 17, 46, 70, 94, 22, 48, 72, 96, 24, 44, 68, 92, 20, 37, 61, 85, 13, 40, 64, 88, 16, 43, 67, 91, 19, 36, 60, 84, 12, 29, 53, 77, 5, 32, 56, 80, 8, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 62)(7, 63)(8, 50)(9, 65)(10, 66)(11, 54)(12, 52)(13, 53)(14, 69)(15, 70)(16, 56)(17, 61)(18, 71)(19, 59)(20, 60)(21, 72)(22, 64)(23, 68)(24, 67)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 83)(31, 74)(32, 88)(33, 75)(34, 76)(35, 91)(36, 92)(37, 89)(38, 78)(39, 79)(40, 94)(41, 81)(42, 82)(43, 96)(44, 95)(45, 86)(46, 87)(47, 90)(48, 93)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A^-1, Z^-1), S * B * S * A, (S * Z)^2, A * Z^4, Z^-1 * A^-2 * Z * A^2, A^6, Z * B^-1 * Z * A^-1 * B^-1 * A^-1 * Z^2 * A^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 36, 60, 84, 12, 29, 53, 77, 5, 32, 56, 80, 8, 38, 62, 86, 14, 44, 68, 92, 20, 37, 61, 85, 13, 40, 64, 88, 16, 45, 69, 93, 21, 47, 71, 95, 23, 41, 65, 89, 17, 46, 70, 94, 22, 48, 72, 96, 24, 42, 66, 90, 18, 33, 57, 81, 9, 39, 63, 87, 15, 43, 67, 91, 19, 34, 58, 82, 10, 27, 51, 75, 3, 31, 55, 79, 7, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 59)(7, 63)(8, 50)(9, 65)(10, 66)(11, 67)(12, 52)(13, 53)(14, 54)(15, 70)(16, 56)(17, 61)(18, 71)(19, 72)(20, 60)(21, 62)(22, 64)(23, 68)(24, 69)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 86)(31, 74)(32, 88)(33, 75)(34, 76)(35, 78)(36, 92)(37, 89)(38, 93)(39, 79)(40, 94)(41, 81)(42, 82)(43, 83)(44, 95)(45, 96)(46, 87)(47, 90)(48, 91)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, (A^-1, Z), (S * Z)^2, S * B * S * A, Z^-1 * A * Z * B^-1, A^-1 * Z^-1 * B * Z, Z^-1 * A^2 * Z * A^-2, Z^-2 * B^-1 * Z^-1 * A^-2, A^3 * Z^-1 * A^2 * Z^-2, Z^-1 * B * Z^-1 * A * Z^-4, A^-1 * Z * B^-1 * Z * A^-1 * Z * B^-1 * A^-1 * Z * B^-1 * A^-1 * Z * B^-1 * A^-1 * Z * B^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 46, 70, 94, 22, 44, 68, 92, 20, 33, 57, 81, 9, 41, 65, 89, 17, 36, 60, 84, 12, 29, 53, 77, 5, 32, 56, 80, 8, 40, 64, 88, 16, 47, 71, 95, 23, 45, 69, 93, 21, 34, 58, 82, 10, 27, 51, 75, 3, 31, 55, 79, 7, 39, 63, 87, 15, 37, 61, 85, 13, 42, 66, 90, 18, 48, 72, 96, 24, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)
	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, 61)(15, 60)(16, 54)(17, 59)(18, 56)(19, 71)(20, 72)(21, 70)(22, 66)(23, 62)(24, 64)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 88)(31, 74)(32, 90)(33, 75)(34, 76)(35, 89)(36, 87)(37, 86)(38, 95)(39, 78)(40, 96)(41, 79)(42, 94)(43, 81)(44, 82)(45, 83)(46, 93)(47, 91)(48, 92)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-2 * A * Z^-1, (S * Z)^2, S * A * S * B, A^8 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 27, 51, 75, 3, 31, 55, 79, 7, 36, 60, 84, 12, 33, 57, 81, 9, 37, 61, 85, 13, 42, 66, 90, 18, 39, 63, 87, 15, 43, 67, 91, 19, 47, 71, 95, 23, 45, 69, 93, 21, 48, 72, 96, 24, 46, 70, 94, 22, 41, 65, 89, 17, 44, 68, 92, 20, 40, 64, 88, 16, 35, 59, 83, 11, 38, 62, 86, 14, 34, 58, 82, 10, 29, 53, 77, 5, 32, 56, 80, 8, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 55)(3, 57)(4, 54)(5, 49)(6, 60)(7, 61)(8, 50)(9, 63)(10, 52)(11, 53)(12, 66)(13, 67)(14, 56)(15, 69)(16, 58)(17, 59)(18, 71)(19, 72)(20, 62)(21, 65)(22, 64)(23, 70)(24, 68)(25, 77)(26, 80)(27, 73)(28, 82)(29, 83)(30, 76)(31, 74)(32, 86)(33, 75)(34, 88)(35, 89)(36, 78)(37, 79)(38, 92)(39, 81)(40, 94)(41, 93)(42, 84)(43, 85)(44, 96)(45, 87)(46, 95)(47, 90)(48, 91)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^-2 * A, S * A * S * B, (S * Z)^2, A^12 ]
Map::
	R = (1, 26, 50, 74, 2, 27, 51, 75, 3, 30, 54, 78, 6, 31, 55, 79, 7, 34, 58, 82, 10, 35, 59, 83, 11, 38, 62, 86, 14, 39, 63, 87, 15, 42, 66, 90, 18, 43, 67, 91, 19, 46, 70, 94, 22, 47, 71, 95, 23, 48, 72, 96, 24, 45, 69, 93, 21, 44, 68, 92, 20, 41, 65, 89, 17, 40, 64, 88, 16, 37, 61, 85, 13, 36, 60, 84, 12, 33, 57, 81, 9, 32, 56, 80, 8, 29, 53, 77, 5, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 54)(3, 55)(4, 50)(5, 49)(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, 72)(23, 69)(24, 68)(25, 77)(26, 76)(27, 73)(28, 80)(29, 81)(30, 74)(31, 75)(32, 84)(33, 85)(34, 78)(35, 79)(36, 88)(37, 89)(38, 82)(39, 83)(40, 92)(41, 93)(42, 86)(43, 87)(44, 96)(45, 95)(46, 90)(47, 91)(48, 94)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {24, 24})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A^-1, Z^-1), Z^-1 * B * Z * A^-1, S * A * S * B, A * Z * B^-1 * Z^-1, (S * Z)^2, Z^-2 * B^2 * Z^-2, Z * B * A * Z * B * A^2, (B * A)^6 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 33, 57, 81, 9, 41, 65, 89, 17, 46, 70, 94, 22, 48, 72, 96, 24, 44, 68, 92, 20, 36, 60, 84, 12, 29, 53, 77, 5, 32, 56, 80, 8, 40, 64, 88, 16, 34, 58, 82, 10, 27, 51, 75, 3, 31, 55, 79, 7, 39, 63, 87, 15, 47, 71, 95, 23, 43, 67, 91, 19, 45, 69, 93, 21, 37, 61, 85, 13, 42, 66, 90, 18, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 67)(10, 62)(11, 64)(12, 52)(13, 53)(14, 71)(15, 70)(16, 54)(17, 69)(18, 56)(19, 68)(20, 59)(21, 60)(22, 61)(23, 72)(24, 66)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 88)(31, 74)(32, 90)(33, 75)(34, 76)(35, 92)(36, 93)(37, 94)(38, 82)(39, 78)(40, 83)(41, 79)(42, 96)(43, 81)(44, 91)(45, 89)(46, 87)(47, 86)(48, 95)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * A * S * B, (S * Z)^2, A^-1 * Z * A * Z, A^23 ]
Map::
	R = (1, 48, 94, 140, 2, 47, 93, 139)(3, 51, 97, 143, 5, 49, 95, 141)(4, 52, 98, 144, 6, 50, 96, 142)(7, 55, 101, 147, 9, 53, 99, 145)(8, 56, 102, 148, 10, 54, 100, 146)(11, 59, 105, 151, 13, 57, 103, 149)(12, 60, 106, 152, 14, 58, 104, 150)(15, 63, 109, 155, 17, 61, 107, 153)(16, 64, 110, 156, 18, 62, 108, 154)(19, 67, 113, 159, 21, 65, 111, 157)(20, 68, 114, 160, 22, 66, 112, 158)(23, 71, 117, 163, 25, 69, 115, 161)(24, 72, 118, 164, 26, 70, 116, 162)(27, 75, 121, 167, 29, 73, 119, 165)(28, 76, 122, 168, 30, 74, 120, 166)(31, 79, 125, 171, 33, 77, 123, 169)(32, 80, 126, 172, 34, 78, 124, 170)(35, 83, 129, 175, 37, 81, 127, 173)(36, 84, 130, 176, 38, 82, 128, 174)(39, 87, 133, 179, 41, 85, 131, 177)(40, 88, 134, 180, 42, 86, 132, 178)(43, 91, 137, 183, 45, 89, 135, 181)(44, 92, 138, 184, 46, 90, 136, 182)
	L = (1, 95)(2, 97)(3, 99)(4, 93)(5, 101)(6, 94)(7, 103)(8, 96)(9, 105)(10, 98)(11, 107)(12, 100)(13, 109)(14, 102)(15, 111)(16, 104)(17, 113)(18, 106)(19, 115)(20, 108)(21, 117)(22, 110)(23, 119)(24, 112)(25, 121)(26, 114)(27, 123)(28, 116)(29, 125)(30, 118)(31, 127)(32, 120)(33, 129)(34, 122)(35, 131)(36, 124)(37, 133)(38, 126)(39, 135)(40, 128)(41, 137)(42, 130)(43, 136)(44, 132)(45, 138)(46, 134)(47, 142)(48, 144)(49, 139)(50, 146)(51, 140)(52, 148)(53, 141)(54, 150)(55, 143)(56, 152)(57, 145)(58, 154)(59, 147)(60, 156)(61, 149)(62, 158)(63, 151)(64, 160)(65, 153)(66, 162)(67, 155)(68, 164)(69, 157)(70, 166)(71, 159)(72, 168)(73, 161)(74, 170)(75, 163)(76, 172)(77, 165)(78, 174)(79, 167)(80, 176)(81, 169)(82, 178)(83, 171)(84, 180)(85, 173)(86, 182)(87, 175)(88, 184)(89, 177)(90, 181)(91, 179)(92, 183)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 23 e = 92 f = 23
	degree seq :: [ 8^23 ]

E24.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, (S * Z)^2, S * A * S * B, (A * Z)^23 ]
Map::
	R = (1, 48, 94, 140, 2, 47, 93, 139)(3, 51, 97, 143, 5, 49, 95, 141)(4, 52, 98, 144, 6, 50, 96, 142)(7, 55, 101, 147, 9, 53, 99, 145)(8, 56, 102, 148, 10, 54, 100, 146)(11, 59, 105, 151, 13, 57, 103, 149)(12, 60, 106, 152, 14, 58, 104, 150)(15, 71, 117, 163, 25, 61, 107, 153)(16, 72, 118, 164, 26, 62, 108, 154)(17, 73, 119, 165, 27, 63, 109, 155)(18, 74, 120, 166, 28, 64, 110, 156)(19, 75, 121, 167, 29, 65, 111, 157)(20, 76, 122, 168, 30, 66, 112, 158)(21, 77, 123, 169, 31, 67, 113, 159)(22, 78, 124, 170, 32, 68, 114, 160)(23, 79, 125, 171, 33, 69, 115, 161)(24, 80, 126, 172, 34, 70, 116, 162)(35, 91, 137, 183, 45, 81, 127, 173)(36, 90, 136, 182, 44, 82, 128, 174)(37, 89, 135, 181, 43, 83, 129, 175)(38, 92, 138, 184, 46, 84, 130, 176)(39, 88, 134, 180, 42, 85, 131, 177)(40, 87, 133, 179, 41, 86, 132, 178)
	L = (1, 95)(2, 96)(3, 93)(4, 94)(5, 99)(6, 100)(7, 97)(8, 98)(9, 103)(10, 104)(11, 101)(12, 102)(13, 107)(14, 110)(15, 105)(16, 117)(17, 120)(18, 106)(19, 118)(20, 119)(21, 121)(22, 122)(23, 123)(24, 124)(25, 108)(26, 111)(27, 112)(28, 109)(29, 113)(30, 114)(31, 115)(32, 116)(33, 127)(34, 130)(35, 125)(36, 137)(37, 138)(38, 126)(39, 136)(40, 135)(41, 134)(42, 133)(43, 132)(44, 131)(45, 128)(46, 129)(47, 141)(48, 142)(49, 139)(50, 140)(51, 145)(52, 146)(53, 143)(54, 144)(55, 149)(56, 150)(57, 147)(58, 148)(59, 153)(60, 156)(61, 151)(62, 163)(63, 166)(64, 152)(65, 164)(66, 165)(67, 167)(68, 168)(69, 169)(70, 170)(71, 154)(72, 157)(73, 158)(74, 155)(75, 159)(76, 160)(77, 161)(78, 162)(79, 173)(80, 176)(81, 171)(82, 183)(83, 184)(84, 172)(85, 182)(86, 181)(87, 180)(88, 179)(89, 178)(90, 177)(91, 174)(92, 175)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 23 e = 92 f = 23
	degree seq :: [ 8^23 ]

E24.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * B * S * A, (S * Z)^2, B * Z * A^-1 * Z, A^12 * B^-11 ]
Map:: non-degenerate
	R = (1, 48, 94, 140, 2, 47, 93, 139)(3, 52, 98, 144, 6, 49, 95, 141)(4, 51, 97, 143, 5, 50, 96, 142)(7, 56, 102, 148, 10, 53, 99, 145)(8, 55, 101, 147, 9, 54, 100, 146)(11, 60, 106, 152, 14, 57, 103, 149)(12, 59, 105, 151, 13, 58, 104, 150)(15, 64, 110, 156, 18, 61, 107, 153)(16, 63, 109, 155, 17, 62, 108, 154)(19, 68, 114, 160, 22, 65, 111, 157)(20, 67, 113, 159, 21, 66, 112, 158)(23, 72, 118, 164, 26, 69, 115, 161)(24, 71, 117, 163, 25, 70, 116, 162)(27, 76, 122, 168, 30, 73, 119, 165)(28, 75, 121, 167, 29, 74, 120, 166)(31, 80, 126, 172, 34, 77, 123, 169)(32, 79, 125, 171, 33, 78, 124, 170)(35, 84, 130, 176, 38, 81, 127, 173)(36, 83, 129, 175, 37, 82, 128, 174)(39, 88, 134, 180, 42, 85, 131, 177)(40, 87, 133, 179, 41, 86, 132, 178)(43, 92, 138, 184, 46, 89, 135, 181)(44, 91, 137, 183, 45, 90, 136, 182)
	L = (1, 95)(2, 97)(3, 99)(4, 93)(5, 101)(6, 94)(7, 103)(8, 96)(9, 105)(10, 98)(11, 107)(12, 100)(13, 109)(14, 102)(15, 111)(16, 104)(17, 113)(18, 106)(19, 115)(20, 108)(21, 117)(22, 110)(23, 119)(24, 112)(25, 121)(26, 114)(27, 123)(28, 116)(29, 125)(30, 118)(31, 127)(32, 120)(33, 129)(34, 122)(35, 131)(36, 124)(37, 133)(38, 126)(39, 135)(40, 128)(41, 137)(42, 130)(43, 136)(44, 132)(45, 138)(46, 134)(47, 141)(48, 143)(49, 145)(50, 139)(51, 147)(52, 140)(53, 149)(54, 142)(55, 151)(56, 144)(57, 153)(58, 146)(59, 155)(60, 148)(61, 157)(62, 150)(63, 159)(64, 152)(65, 161)(66, 154)(67, 163)(68, 156)(69, 165)(70, 158)(71, 167)(72, 160)(73, 169)(74, 162)(75, 171)(76, 164)(77, 173)(78, 166)(79, 175)(80, 168)(81, 177)(82, 170)(83, 179)(84, 172)(85, 181)(86, 174)(87, 183)(88, 176)(89, 182)(90, 178)(91, 184)(92, 180)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 23 e = 92 f = 23
	degree seq :: [ 8^23 ]

E24.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C46 (small group id <46, 2>)
Aut   = C46 x C2 (small group id <92, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * A * S * B, (S * Z)^2, A * Z * A^-1 * Z, B * Z * B^-1 * Z, A^12 * B^-11 ]
Map:: non-degenerate
	R = (1, 48, 94, 140, 2, 47, 93, 139)(3, 51, 97, 143, 5, 49, 95, 141)(4, 52, 98, 144, 6, 50, 96, 142)(7, 55, 101, 147, 9, 53, 99, 145)(8, 56, 102, 148, 10, 54, 100, 146)(11, 59, 105, 151, 13, 57, 103, 149)(12, 60, 106, 152, 14, 58, 104, 150)(15, 63, 109, 155, 17, 61, 107, 153)(16, 64, 110, 156, 18, 62, 108, 154)(19, 67, 113, 159, 21, 65, 111, 157)(20, 68, 114, 160, 22, 66, 112, 158)(23, 71, 117, 163, 25, 69, 115, 161)(24, 72, 118, 164, 26, 70, 116, 162)(27, 75, 121, 167, 29, 73, 119, 165)(28, 76, 122, 168, 30, 74, 120, 166)(31, 79, 125, 171, 33, 77, 123, 169)(32, 80, 126, 172, 34, 78, 124, 170)(35, 83, 129, 175, 37, 81, 127, 173)(36, 84, 130, 176, 38, 82, 128, 174)(39, 87, 133, 179, 41, 85, 131, 177)(40, 88, 134, 180, 42, 86, 132, 178)(43, 91, 137, 183, 45, 89, 135, 181)(44, 92, 138, 184, 46, 90, 136, 182)
	L = (1, 95)(2, 97)(3, 99)(4, 93)(5, 101)(6, 94)(7, 103)(8, 96)(9, 105)(10, 98)(11, 107)(12, 100)(13, 109)(14, 102)(15, 111)(16, 104)(17, 113)(18, 106)(19, 115)(20, 108)(21, 117)(22, 110)(23, 119)(24, 112)(25, 121)(26, 114)(27, 123)(28, 116)(29, 125)(30, 118)(31, 127)(32, 120)(33, 129)(34, 122)(35, 131)(36, 124)(37, 133)(38, 126)(39, 135)(40, 128)(41, 137)(42, 130)(43, 136)(44, 132)(45, 138)(46, 134)(47, 141)(48, 143)(49, 145)(50, 139)(51, 147)(52, 140)(53, 149)(54, 142)(55, 151)(56, 144)(57, 153)(58, 146)(59, 155)(60, 148)(61, 157)(62, 150)(63, 159)(64, 152)(65, 161)(66, 154)(67, 163)(68, 156)(69, 165)(70, 158)(71, 167)(72, 160)(73, 169)(74, 162)(75, 171)(76, 164)(77, 173)(78, 166)(79, 175)(80, 168)(81, 177)(82, 170)(83, 179)(84, 172)(85, 181)(86, 174)(87, 183)(88, 176)(89, 182)(90, 178)(91, 184)(92, 180)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 23 e = 92 f = 23
	degree seq :: [ 8^23 ]

E24.17 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^10 * Y2 * Y1^2, (Y3 * Y2^-1)^25, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 10, 35, 14, 39, 18, 43, 22, 47, 25, 50, 21, 46, 17, 42, 13, 38, 9, 34, 5, 30, 3, 28, 7, 32, 11, 36, 15, 40, 19, 44, 23, 48, 24, 49, 20, 45, 16, 41, 12, 37, 8, 33, 4, 29)(51, 76, 53, 78, 52, 77, 57, 82, 56, 81, 61, 86, 60, 85, 65, 90, 64, 89, 69, 94, 68, 93, 73, 98, 72, 97, 74, 99, 75, 100, 70, 95, 71, 96, 66, 91, 67, 92, 62, 87, 63, 88, 58, 83, 59, 84, 54, 79, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.18 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-12, (Y3 * Y2^-1)^25, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 10, 35, 14, 39, 18, 43, 22, 47, 24, 49, 20, 45, 16, 41, 12, 37, 8, 33, 3, 28, 5, 30, 7, 32, 11, 36, 15, 40, 19, 44, 23, 48, 25, 50, 21, 46, 17, 42, 13, 38, 9, 34, 4, 29)(51, 76, 53, 78, 54, 79, 58, 83, 59, 84, 62, 87, 63, 88, 66, 91, 67, 92, 70, 95, 71, 96, 74, 99, 75, 100, 72, 97, 73, 98, 68, 93, 69, 94, 64, 89, 65, 90, 60, 85, 61, 86, 56, 81, 57, 82, 52, 77, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.19 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^8 * Y2, (Y3^-1 * Y1^-1)^25, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 12, 37, 18, 43, 23, 48, 17, 42, 11, 36, 5, 30, 8, 33, 14, 39, 20, 45, 24, 49, 25, 50, 21, 46, 15, 40, 9, 34, 3, 28, 7, 32, 13, 38, 19, 44, 22, 47, 16, 41, 10, 35, 4, 29)(51, 76, 53, 78, 58, 83, 52, 77, 57, 82, 64, 89, 56, 81, 63, 88, 70, 95, 62, 87, 69, 94, 74, 99, 68, 93, 72, 97, 75, 100, 73, 98, 66, 91, 71, 96, 67, 92, 60, 85, 65, 90, 61, 86, 54, 79, 59, 84, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.20 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-8, (Y3 * Y2^-1)^25, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 12, 37, 18, 43, 22, 47, 16, 41, 10, 35, 3, 28, 7, 32, 13, 38, 19, 44, 24, 49, 25, 50, 21, 46, 15, 40, 9, 34, 5, 30, 8, 33, 14, 39, 20, 45, 23, 48, 17, 42, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 54, 79, 60, 85, 65, 90, 61, 86, 66, 91, 71, 96, 67, 92, 72, 97, 75, 100, 73, 98, 68, 93, 74, 99, 70, 95, 62, 87, 69, 94, 64, 89, 56, 81, 63, 88, 58, 83, 52, 77, 57, 82, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.21 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-4 * Y1, (R * Y2 * Y3^-1)^2, Y1^3 * Y2 * Y1^3, Y1 * Y2^-1 * Y1^3 * Y2^-1 * Y1^2 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^25, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 20, 45, 12, 37, 5, 30, 8, 33, 16, 41, 22, 47, 25, 50, 21, 46, 13, 38, 9, 34, 17, 42, 23, 48, 24, 49, 18, 43, 10, 35, 3, 28, 7, 32, 15, 40, 19, 44, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 58, 83, 52, 77, 57, 82, 67, 92, 66, 91, 56, 81, 65, 90, 73, 98, 72, 97, 64, 89, 69, 94, 74, 99, 75, 100, 70, 95, 61, 86, 68, 93, 71, 96, 62, 87, 54, 79, 60, 85, 63, 88, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.22 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2 * Y1 * Y2^3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-5, (Y3 * Y2^-1)^25, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 19, 44, 10, 35, 3, 28, 7, 32, 15, 40, 22, 47, 24, 49, 18, 43, 9, 34, 13, 38, 17, 42, 23, 48, 25, 50, 21, 46, 12, 37, 5, 30, 8, 33, 16, 41, 20, 45, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 62, 87, 54, 79, 60, 85, 68, 93, 71, 96, 61, 86, 69, 94, 74, 99, 75, 100, 70, 95, 64, 89, 72, 97, 73, 98, 66, 91, 56, 81, 65, 90, 67, 92, 58, 83, 52, 77, 57, 82, 63, 88, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.23 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y1, Y2), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y2^-3, Y2^4 * Y1^3, (Y3^-1 * Y1^-1)^25, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 19, 44, 23, 48, 12, 37, 5, 30, 8, 33, 16, 41, 20, 45, 9, 34, 17, 42, 24, 49, 13, 38, 18, 43, 21, 46, 10, 35, 3, 28, 7, 32, 15, 40, 25, 50, 22, 47, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 69, 94, 72, 97, 68, 93, 58, 83, 52, 77, 57, 82, 67, 92, 73, 98, 61, 86, 71, 96, 66, 91, 56, 81, 65, 90, 74, 99, 62, 87, 54, 79, 60, 85, 70, 95, 64, 89, 75, 100, 63, 88, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.24 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^5 * Y1 * Y2 * Y1 * Y2, Y2^4 * Y1^-1 * Y2^4 * Y1^-1 * Y2^4 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^25, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 9, 34, 15, 40, 20, 45, 22, 47, 24, 49, 19, 44, 17, 42, 12, 37, 5, 30, 8, 33, 10, 35, 3, 28, 7, 32, 14, 39, 16, 41, 21, 46, 25, 50, 23, 48, 18, 43, 13, 38, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 66, 91, 72, 97, 73, 98, 67, 92, 61, 86, 58, 83, 52, 77, 57, 82, 65, 90, 71, 96, 74, 99, 68, 93, 62, 87, 54, 79, 60, 85, 56, 81, 64, 89, 70, 95, 75, 100, 69, 94, 63, 88, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.25 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-6 * Y1, (Y3 * Y2^-1)^25, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 13, 38, 15, 40, 20, 45, 25, 50, 23, 48, 16, 41, 18, 43, 10, 35, 3, 28, 7, 32, 12, 37, 5, 30, 8, 33, 14, 39, 19, 44, 21, 46, 22, 47, 24, 49, 17, 42, 9, 34, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 66, 91, 72, 97, 70, 95, 64, 89, 56, 81, 62, 87, 54, 79, 60, 85, 67, 92, 73, 98, 71, 96, 65, 90, 58, 83, 52, 77, 57, 82, 61, 86, 68, 93, 74, 99, 75, 100, 69, 94, 63, 88, 55, 80)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.26 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3 * Y1^-2 * Y2^-1, (Y3^-1, Y2^-1), Y2^-1 * Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y2, (R * Y2)^2, (Y3^-1, Y1^-1), Y3^5, Y3^2 * Y2 * Y1 * Y3^2 * Y1, (Y1^-1 * Y3^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 12, 37, 19, 44, 14, 39, 20, 45, 25, 50, 23, 48, 15, 40, 7, 32, 11, 36, 6, 31, 3, 28, 9, 34, 4, 29, 10, 35, 18, 43, 22, 47, 24, 49, 17, 42, 21, 46, 16, 41, 13, 38, 5, 30)(51, 76, 53, 78, 52, 77, 59, 84, 58, 83, 54, 79, 62, 87, 60, 85, 69, 94, 68, 93, 64, 89, 72, 97, 70, 95, 74, 99, 75, 100, 67, 92, 73, 98, 71, 96, 65, 90, 66, 91, 57, 82, 63, 88, 61, 86, 55, 80, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 64)(5, 59)(6, 58)(7, 51)(8, 68)(9, 69)(10, 70)(11, 52)(12, 72)(13, 53)(14, 67)(15, 55)(16, 56)(17, 57)(18, 75)(19, 74)(20, 71)(21, 61)(22, 73)(23, 63)(24, 65)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.48
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.27 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y2^-1 * Y1^2 * Y3, (R * Y3)^2, Y3 * Y1^2 * Y2^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2^-1, Y3^-1), Y3 * Y2 * Y1^3, Y3^5, Y3 * Y1^-10, (Y2^-1 * Y3)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 16, 41, 20, 45, 17, 42, 21, 46, 22, 47, 24, 49, 14, 39, 4, 29, 9, 34, 3, 28, 6, 31, 10, 35, 7, 32, 11, 36, 18, 43, 25, 50, 23, 48, 13, 38, 19, 44, 12, 37, 15, 40, 5, 30)(51, 76, 53, 78, 55, 80, 59, 84, 65, 90, 54, 79, 62, 87, 64, 89, 69, 94, 74, 99, 63, 88, 72, 97, 73, 98, 71, 96, 75, 100, 67, 92, 68, 93, 70, 95, 61, 86, 66, 91, 57, 82, 58, 83, 60, 85, 52, 77, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 63)(5, 64)(6, 65)(7, 51)(8, 53)(9, 69)(10, 55)(11, 52)(12, 72)(13, 67)(14, 73)(15, 74)(16, 56)(17, 57)(18, 58)(19, 71)(20, 60)(21, 61)(22, 68)(23, 70)(24, 75)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.46
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.28 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2 * Y1^-1, Y1 * Y3^-1 * Y2^2, (R * Y2)^2, Y2^3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y3^5, Y1 * Y3^2 * Y2 * Y3 * Y1^2, Y2^-1 * Y1^4 * Y3^-1 * Y2^-1 * Y3^-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 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 25, 50, 17, 42, 22, 47, 13, 38, 6, 31, 11, 36, 4, 29, 10, 35, 20, 45, 24, 49, 16, 41, 7, 32, 12, 37, 3, 28, 9, 34, 19, 44, 14, 39, 21, 46, 23, 48, 15, 40, 5, 30)(51, 76, 53, 78, 61, 86, 52, 77, 59, 84, 54, 79, 58, 83, 69, 94, 60, 85, 68, 93, 64, 89, 70, 95, 75, 100, 71, 96, 74, 99, 67, 92, 73, 98, 66, 91, 72, 97, 65, 90, 57, 82, 63, 88, 55, 80, 62, 87, 56, 81)
	L = (1, 54)(2, 60)(3, 58)(4, 64)(5, 61)(6, 59)(7, 51)(8, 70)(9, 68)(10, 71)(11, 69)(12, 52)(13, 53)(14, 67)(15, 56)(16, 55)(17, 57)(18, 74)(19, 75)(20, 73)(21, 72)(22, 62)(23, 63)(24, 65)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.41
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.29 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y1 * Y2^-2 * Y3, Y2 * Y3^-1 * Y1^-1 * Y2, (R * Y1)^2, (Y1^-1, Y2), Y1^-2 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, Y1 * Y2^3, (R * Y3)^2, Y3^5, Y3^2 * Y1^-5, Y1^8 * Y2^-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^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 25, 50, 15, 40, 21, 46, 14, 39, 3, 28, 9, 34, 7, 32, 12, 37, 20, 45, 23, 48, 16, 41, 4, 29, 10, 35, 6, 31, 11, 36, 19, 44, 17, 42, 22, 47, 24, 49, 13, 38, 5, 30)(51, 76, 53, 78, 60, 85, 55, 80, 64, 89, 54, 79, 63, 88, 71, 96, 66, 91, 74, 99, 65, 90, 73, 98, 72, 97, 75, 100, 70, 95, 67, 92, 68, 93, 62, 87, 69, 94, 58, 83, 57, 82, 61, 86, 52, 77, 59, 84, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 64)(7, 51)(8, 56)(9, 55)(10, 71)(11, 53)(12, 52)(13, 73)(14, 74)(15, 67)(16, 75)(17, 57)(18, 61)(19, 59)(20, 58)(21, 72)(22, 62)(23, 68)(24, 70)(25, 69)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.50
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.30 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3^-1, Y1 * Y2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^2 * Y2^-1, Y3^5, Y2^-3 * Y1 * Y2^-1, Y3^-2 * Y1^-1 * Y3^-2 * Y2^-1, Y1^5 * Y3, Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 16, 41, 7, 32, 6, 31, 10, 35, 22, 47, 24, 49, 19, 44, 18, 43, 17, 42, 11, 36, 12, 37, 14, 39, 23, 48, 25, 50, 13, 38, 3, 28, 4, 29, 9, 34, 21, 46, 15, 40, 5, 30)(51, 76, 53, 78, 61, 86, 60, 85, 52, 77, 54, 79, 62, 87, 72, 97, 58, 83, 59, 84, 64, 89, 74, 99, 70, 95, 71, 96, 73, 98, 69, 94, 66, 91, 65, 90, 75, 100, 68, 93, 57, 82, 55, 80, 63, 88, 67, 92, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 64)(5, 53)(6, 52)(7, 51)(8, 71)(9, 73)(10, 58)(11, 72)(12, 74)(13, 61)(14, 69)(15, 63)(16, 55)(17, 60)(18, 56)(19, 57)(20, 65)(21, 75)(22, 70)(23, 68)(24, 66)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.44
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.31 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (Y2, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^4, Y3^5, Y2^-5 * Y3, Y1^-1 * Y3^-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^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 16, 41, 6, 31, 4, 29, 10, 35, 20, 45, 18, 43, 14, 39, 13, 38, 22, 47, 24, 49, 23, 48, 25, 50, 19, 44, 12, 37, 11, 36, 21, 46, 17, 42, 7, 32, 3, 28, 9, 34, 15, 40, 5, 30)(51, 76, 53, 78, 61, 86, 73, 98, 64, 89, 54, 79, 52, 77, 59, 84, 71, 96, 75, 100, 63, 88, 60, 85, 58, 83, 65, 90, 67, 92, 69, 94, 72, 97, 70, 95, 66, 91, 55, 80, 57, 82, 62, 87, 74, 99, 68, 93, 56, 81)
	L = (1, 54)(2, 60)(3, 52)(4, 63)(5, 56)(6, 64)(7, 51)(8, 70)(9, 58)(10, 72)(11, 59)(12, 53)(13, 69)(14, 75)(15, 66)(16, 68)(17, 55)(18, 73)(19, 57)(20, 74)(21, 65)(22, 62)(23, 71)(24, 61)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.37
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.32 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y2 * Y3 * Y1^-1 * Y2, Y3^-1 * Y1 * Y2^-2, Y3 * Y2 * Y1^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2), (R * Y1)^2, Y3^5, Y1^2 * Y3 * Y2^-1 * Y1, Y3 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, Y2^-3 * Y3 * Y2^-2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1^-1, Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y2^2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 14, 39, 23, 48, 15, 40, 19, 44, 6, 31, 11, 36, 20, 45, 7, 32, 12, 37, 22, 47, 25, 50, 16, 41, 4, 29, 10, 35, 13, 38, 3, 28, 9, 34, 21, 46, 24, 49, 17, 42, 18, 43, 5, 30)(51, 76, 53, 78, 62, 87, 73, 98, 67, 92, 54, 79, 61, 86, 52, 77, 59, 84, 72, 97, 65, 90, 68, 93, 60, 85, 70, 95, 58, 83, 71, 96, 75, 100, 69, 94, 55, 80, 63, 88, 57, 82, 64, 89, 74, 99, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 61)(4, 65)(5, 66)(6, 67)(7, 51)(8, 63)(9, 70)(10, 69)(11, 68)(12, 52)(13, 56)(14, 53)(15, 71)(16, 73)(17, 72)(18, 75)(19, 74)(20, 55)(21, 57)(22, 58)(23, 59)(24, 62)(25, 64)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.43
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.33 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3 * Y1, Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1^-1 * Y2^-2, (Y1^-1, Y2), (Y1^-1, Y3), (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^5, Y1^-1 * Y3^-2 * Y2 * Y1^-1 * Y3^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2^-2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^2, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^18 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 19, 44, 24, 49, 21, 46, 15, 40, 3, 28, 9, 34, 18, 43, 4, 29, 10, 35, 22, 47, 25, 50, 13, 38, 7, 32, 12, 37, 14, 39, 6, 31, 11, 36, 17, 42, 23, 48, 16, 41, 20, 45, 5, 30)(51, 76, 53, 78, 63, 88, 73, 98, 69, 94, 54, 79, 64, 89, 55, 80, 65, 90, 75, 100, 67, 92, 58, 83, 68, 93, 62, 87, 70, 95, 71, 96, 72, 97, 61, 86, 52, 77, 59, 84, 57, 82, 66, 91, 74, 99, 60, 85, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 72)(9, 56)(10, 73)(11, 74)(12, 52)(13, 55)(14, 58)(15, 62)(16, 53)(17, 71)(18, 61)(19, 75)(20, 59)(21, 57)(22, 66)(23, 65)(24, 63)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.51
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.34 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-3, (Y1^-1, Y3), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y3 * Y2^2, Y3^5, Y3 * Y1 * Y3 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^-3, Y3 * Y1^-1 * Y3 * Y2^-2, Y1^-2 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 6, 31, 11, 36, 23, 48, 21, 46, 14, 39, 25, 50, 18, 43, 4, 29, 10, 35, 16, 41, 19, 44, 20, 45, 7, 32, 12, 37, 24, 49, 22, 47, 13, 38, 17, 42, 15, 40, 3, 28, 9, 34, 5, 30)(51, 76, 53, 78, 63, 88, 62, 87, 69, 94, 54, 79, 64, 89, 61, 86, 52, 77, 59, 84, 67, 92, 74, 99, 70, 95, 60, 85, 75, 100, 73, 98, 58, 83, 55, 80, 65, 90, 72, 97, 57, 82, 66, 91, 68, 93, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 66)(9, 75)(10, 65)(11, 70)(12, 52)(13, 61)(14, 74)(15, 71)(16, 53)(17, 73)(18, 63)(19, 59)(20, 55)(21, 62)(22, 56)(23, 57)(24, 58)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.42
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.35 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^3, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), (Y1, Y3^-1), Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^2 * Y1 * Y3 * Y2, Y3^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 3, 28, 9, 34, 16, 41, 13, 38, 22, 47, 25, 50, 20, 45, 7, 32, 12, 37, 18, 43, 15, 40, 17, 42, 4, 29, 10, 35, 24, 49, 14, 39, 21, 46, 23, 48, 19, 44, 6, 31, 11, 36, 5, 30)(51, 76, 53, 78, 63, 88, 70, 95, 68, 93, 54, 79, 64, 89, 69, 94, 55, 80, 58, 83, 66, 91, 75, 100, 62, 87, 67, 92, 74, 99, 73, 98, 61, 86, 52, 77, 59, 84, 72, 97, 57, 82, 65, 90, 60, 85, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 66)(5, 67)(6, 68)(7, 51)(8, 74)(9, 71)(10, 63)(11, 65)(12, 52)(13, 69)(14, 75)(15, 53)(16, 73)(17, 59)(18, 58)(19, 62)(20, 55)(21, 70)(22, 56)(23, 57)(24, 72)(25, 61)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.45
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.36 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3^-2, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, (R * Y3)^2, Y2 * Y1^2 * Y3 * Y2, Y2 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3^3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^4 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 13, 38, 19, 44, 7, 32, 12, 37, 22, 47, 24, 49, 14, 39, 18, 43, 6, 31, 11, 36, 15, 40, 3, 28, 9, 34, 21, 46, 23, 48, 25, 50, 16, 41, 4, 29, 10, 35, 20, 45, 17, 42, 5, 30)(51, 76, 53, 78, 63, 88, 73, 98, 62, 87, 54, 79, 64, 89, 67, 92, 61, 86, 52, 77, 59, 84, 69, 94, 75, 100, 72, 97, 60, 85, 68, 93, 55, 80, 65, 90, 58, 83, 71, 96, 57, 82, 66, 91, 74, 99, 70, 95, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 59)(5, 66)(6, 62)(7, 51)(8, 70)(9, 68)(10, 71)(11, 72)(12, 52)(13, 67)(14, 69)(15, 74)(16, 53)(17, 75)(18, 57)(19, 55)(20, 73)(21, 56)(22, 58)(23, 61)(24, 63)(25, 65)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.49
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.37 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y2 * Y1^-1 * Y3^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y1^2, Y2^-1 * Y3^3 * Y1, Y3^2 * Y2^-1 * Y3 * Y1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-2 * Y1, Y2 * Y1^-16, Y2 * Y1^-16, Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 22, 47, 16, 41, 4, 29, 10, 35, 13, 38, 19, 44, 6, 31, 11, 36, 15, 40, 24, 49, 25, 50, 17, 42, 14, 39, 3, 28, 9, 34, 21, 46, 20, 45, 7, 32, 12, 37, 23, 48, 18, 43, 5, 30)(51, 76, 53, 78, 63, 88, 68, 93, 67, 92, 54, 79, 62, 87, 74, 99, 72, 97, 70, 95, 61, 86, 52, 77, 59, 84, 69, 94, 55, 80, 64, 89, 60, 85, 73, 98, 75, 100, 66, 91, 57, 82, 65, 90, 58, 83, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 61)(5, 66)(6, 67)(7, 51)(8, 63)(9, 73)(10, 65)(11, 64)(12, 52)(13, 74)(14, 57)(15, 53)(16, 56)(17, 70)(18, 72)(19, 75)(20, 55)(21, 68)(22, 69)(23, 58)(24, 59)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.31
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.38 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, Y3^-2 * Y2^-2 * Y1, Y3^5, Y3^-2 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 19, 44, 15, 40, 22, 47, 25, 50, 14, 39, 18, 43, 7, 32, 10, 35, 20, 45, 12, 37, 16, 41, 4, 29, 8, 33, 17, 42, 23, 48, 24, 49, 21, 46, 11, 36, 13, 38, 3, 28, 5, 30)(51, 76, 53, 78, 61, 86, 74, 99, 67, 92, 54, 79, 62, 87, 60, 85, 68, 93, 75, 100, 65, 90, 59, 84, 52, 77, 55, 80, 63, 88, 71, 96, 73, 98, 58, 83, 66, 91, 70, 95, 57, 82, 64, 89, 72, 97, 69, 94, 56, 81)
	L = (1, 54)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 51)(8, 72)(9, 73)(10, 52)(11, 60)(12, 59)(13, 70)(14, 53)(15, 71)(16, 69)(17, 75)(18, 55)(19, 74)(20, 56)(21, 57)(22, 61)(23, 64)(24, 68)(25, 63)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.40
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.39 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (Y3^-1, Y2^-1), (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y1 * Y2^2, Y3^5, Y3 * Y2^-5, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1, 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, 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 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 3, 28, 8, 33, 11, 36, 21, 46, 23, 48, 25, 50, 16, 41, 15, 40, 4, 29, 9, 34, 12, 37, 20, 45, 18, 43, 7, 32, 10, 35, 13, 38, 22, 47, 24, 49, 14, 39, 19, 44, 17, 42, 6, 31, 5, 30)(51, 76, 53, 78, 61, 86, 73, 98, 66, 91, 54, 79, 62, 87, 68, 93, 60, 85, 72, 97, 64, 89, 67, 92, 55, 80, 52, 77, 58, 83, 71, 96, 75, 100, 65, 90, 59, 84, 70, 95, 57, 82, 63, 88, 74, 99, 69, 94, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 64)(5, 65)(6, 66)(7, 51)(8, 70)(9, 69)(10, 52)(11, 68)(12, 67)(13, 53)(14, 71)(15, 74)(16, 72)(17, 75)(18, 55)(19, 73)(20, 56)(21, 57)(22, 58)(23, 60)(24, 61)(25, 63)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.47
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, (R * Y1)^2, Y1^-2 * Y2^-1 * Y3^-1, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^5, Y1 * Y3^-2 * Y1^-1 * Y3^2, Y3^-1 * Y2 * Y1^7 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 13, 38, 19, 44, 17, 42, 21, 46, 25, 50, 22, 47, 15, 40, 4, 29, 10, 35, 6, 31, 3, 28, 9, 34, 7, 32, 11, 36, 18, 43, 23, 48, 24, 49, 14, 39, 20, 45, 16, 41, 12, 37, 5, 30)(51, 76, 53, 78, 52, 77, 59, 84, 58, 83, 57, 82, 63, 88, 61, 86, 69, 94, 68, 93, 67, 92, 73, 98, 71, 96, 74, 99, 75, 100, 64, 89, 72, 97, 70, 95, 65, 90, 66, 91, 54, 79, 62, 87, 60, 85, 55, 80, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 64)(5, 65)(6, 66)(7, 51)(8, 56)(9, 55)(10, 70)(11, 52)(12, 72)(13, 53)(14, 67)(15, 74)(16, 75)(17, 57)(18, 58)(19, 59)(20, 71)(21, 61)(22, 73)(23, 63)(24, 69)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.38
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (Y3^-1, Y2), Y1^-1 * Y3 * Y1^-1 * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^2 * Y2^-1, Y3^5, Y1 * Y3^2 * Y1^-1 * Y3^-2, Y2^-1 * Y3^-1 * Y1^-8 * Y3^-1, Y2^-1 * Y1^12, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 14, 39, 20, 45, 13, 38, 19, 44, 22, 47, 24, 49, 16, 41, 7, 32, 11, 36, 3, 28, 6, 31, 10, 35, 4, 29, 9, 34, 18, 43, 23, 48, 25, 50, 17, 42, 21, 46, 12, 37, 15, 40, 5, 30)(51, 76, 53, 78, 55, 80, 61, 86, 65, 90, 57, 82, 62, 87, 66, 91, 71, 96, 74, 99, 67, 92, 72, 97, 75, 100, 69, 94, 73, 98, 63, 88, 68, 93, 70, 95, 59, 84, 64, 89, 54, 79, 58, 83, 60, 85, 52, 77, 56, 81)
	L = (1, 54)(2, 59)(3, 58)(4, 63)(5, 60)(6, 64)(7, 51)(8, 68)(9, 69)(10, 70)(11, 52)(12, 53)(13, 67)(14, 73)(15, 56)(16, 55)(17, 57)(18, 72)(19, 71)(20, 75)(21, 61)(22, 62)(23, 74)(24, 65)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.28
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1 * Y2, (Y2^-1, Y1^-1), Y2^-2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^3 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y1 * Y3 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3), (R * Y2)^2, Y3^5, Y3^-1 * Y1^5 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 24, 49, 14, 39, 21, 46, 13, 38, 6, 31, 11, 36, 7, 32, 12, 37, 20, 45, 25, 50, 15, 40, 4, 29, 10, 35, 3, 28, 9, 34, 19, 44, 17, 42, 22, 47, 23, 48, 16, 41, 5, 30)(51, 76, 53, 78, 61, 86, 52, 77, 59, 84, 57, 82, 58, 83, 69, 94, 62, 87, 68, 93, 67, 92, 70, 95, 74, 99, 72, 97, 75, 100, 64, 89, 73, 98, 65, 90, 71, 96, 66, 91, 54, 79, 63, 88, 55, 80, 60, 85, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 64)(5, 65)(6, 66)(7, 51)(8, 53)(9, 56)(10, 71)(11, 55)(12, 52)(13, 73)(14, 67)(15, 74)(16, 75)(17, 57)(18, 59)(19, 61)(20, 58)(21, 72)(22, 62)(23, 70)(24, 69)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.34
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1 * Y1, Y3 * Y2^2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y2)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (Y3, Y2), Y2^2 * Y3 * Y1^-1, Y1 * Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^5, Y3^-1 * Y1^-5 * Y3^-1, Y2^-1 * Y3^2 * Y1 * Y3^2 * Y2^-1, Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 25, 50, 17, 42, 22, 47, 13, 38, 3, 28, 9, 34, 4, 29, 10, 35, 19, 44, 24, 49, 16, 41, 7, 32, 12, 37, 6, 31, 11, 36, 20, 45, 15, 40, 21, 46, 23, 48, 14, 39, 5, 30)(51, 76, 53, 78, 62, 87, 55, 80, 63, 88, 57, 82, 64, 89, 72, 97, 66, 91, 73, 98, 67, 92, 74, 99, 71, 96, 75, 100, 69, 94, 65, 90, 68, 93, 60, 85, 70, 95, 58, 83, 54, 79, 61, 86, 52, 77, 59, 84, 56, 81)
	L = (1, 54)(2, 60)(3, 61)(4, 65)(5, 59)(6, 58)(7, 51)(8, 69)(9, 70)(10, 71)(11, 68)(12, 52)(13, 56)(14, 53)(15, 67)(16, 55)(17, 57)(18, 74)(19, 73)(20, 75)(21, 72)(22, 62)(23, 63)(24, 64)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.32
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.44 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y2 * Y3 * Y1, (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^4, Y3^5, Y1^5 * Y3^-1, Y3^2 * Y1^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 15, 40, 4, 29, 6, 31, 9, 34, 21, 46, 25, 50, 14, 39, 16, 41, 18, 43, 11, 36, 13, 38, 19, 44, 23, 48, 24, 49, 12, 37, 3, 28, 7, 32, 10, 35, 22, 47, 17, 42, 5, 30)(51, 76, 53, 78, 61, 86, 59, 84, 52, 77, 57, 82, 63, 88, 71, 96, 58, 83, 60, 85, 69, 94, 75, 100, 70, 95, 72, 97, 73, 98, 64, 89, 65, 90, 67, 92, 74, 99, 66, 91, 54, 79, 55, 80, 62, 87, 68, 93, 56, 81)
	L = (1, 54)(2, 56)(3, 55)(4, 64)(5, 65)(6, 66)(7, 51)(8, 59)(9, 68)(10, 52)(11, 62)(12, 67)(13, 53)(14, 69)(15, 75)(16, 73)(17, 70)(18, 74)(19, 57)(20, 71)(21, 61)(22, 58)(23, 60)(24, 72)(25, 63)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.30
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.45 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), Y2^-1 * Y1 * Y2^-1 * Y3, Y2 * Y1^-1 * Y3^-1 * Y2, (Y1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y3), Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3^5, Y1 * Y2^-1 * Y1^2 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 13, 38, 23, 48, 21, 46, 18, 43, 6, 31, 11, 36, 16, 41, 4, 29, 10, 35, 22, 47, 25, 50, 19, 44, 7, 32, 12, 37, 14, 39, 3, 28, 9, 34, 15, 40, 24, 49, 20, 45, 17, 42, 5, 30)(51, 76, 53, 78, 60, 85, 73, 98, 70, 95, 57, 82, 61, 86, 52, 77, 59, 84, 72, 97, 71, 96, 67, 92, 62, 87, 66, 91, 58, 83, 65, 90, 75, 100, 68, 93, 55, 80, 64, 89, 54, 79, 63, 88, 74, 99, 69, 94, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 64)(7, 51)(8, 72)(9, 73)(10, 74)(11, 53)(12, 52)(13, 75)(14, 58)(15, 71)(16, 59)(17, 61)(18, 62)(19, 55)(20, 56)(21, 57)(22, 70)(23, 69)(24, 68)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.35
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.46 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2 * Y1^-1, (Y1, Y2^-1), Y2 * Y1 * Y3^-1 * Y2, (Y3^-1, Y2), (Y3^-1, Y1^-1), Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^2 * Y3^2, Y3^5, Y3 * Y2^2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3^2 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^25, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 23, 48, 17, 42, 15, 40, 3, 28, 9, 34, 19, 44, 7, 32, 12, 37, 22, 47, 25, 50, 13, 38, 4, 29, 10, 35, 16, 41, 6, 31, 11, 36, 21, 46, 24, 49, 14, 39, 18, 43, 5, 30)(51, 76, 53, 78, 63, 88, 74, 99, 70, 95, 57, 82, 66, 91, 55, 80, 65, 90, 75, 100, 71, 96, 58, 83, 69, 94, 60, 85, 68, 93, 67, 92, 72, 97, 61, 86, 52, 77, 59, 84, 54, 79, 64, 89, 73, 98, 62, 87, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 63)(6, 59)(7, 51)(8, 66)(9, 68)(10, 65)(11, 69)(12, 52)(13, 73)(14, 72)(15, 74)(16, 53)(17, 71)(18, 75)(19, 55)(20, 56)(21, 57)(22, 58)(23, 61)(24, 62)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.27
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.47 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^3, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2), (Y3, Y1), (Y3^-1, Y2), (R * Y2)^2, Y2^3 * Y1^-1 * Y3^-1, Y2^-2 * Y1 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1, Y3^5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 6, 31, 11, 36, 17, 42, 21, 46, 16, 41, 25, 50, 20, 45, 7, 32, 12, 37, 14, 39, 22, 47, 18, 43, 4, 29, 10, 35, 24, 49, 19, 44, 13, 38, 23, 48, 15, 40, 3, 28, 9, 34, 5, 30)(51, 76, 53, 78, 63, 88, 60, 85, 72, 97, 57, 82, 66, 91, 61, 86, 52, 77, 59, 84, 73, 98, 74, 99, 68, 93, 62, 87, 75, 100, 67, 92, 58, 83, 55, 80, 65, 90, 69, 94, 54, 79, 64, 89, 70, 95, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 74)(9, 72)(10, 71)(11, 63)(12, 52)(13, 70)(14, 58)(15, 62)(16, 53)(17, 73)(18, 61)(19, 75)(20, 55)(21, 65)(22, 56)(23, 57)(24, 66)(25, 59)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.39
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.48 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1^2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2), Y2 * Y1 * Y3^2 * Y1, Y2 * Y1 * Y2^2 * Y3^-1, Y2^-2 * Y1 * Y3^-2, Y2 * Y1 * Y3^-1 * Y2^2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 3, 28, 9, 34, 23, 48, 13, 38, 18, 43, 25, 50, 17, 42, 4, 29, 10, 35, 22, 47, 14, 39, 20, 45, 7, 32, 12, 37, 24, 49, 15, 40, 21, 46, 16, 41, 19, 44, 6, 31, 11, 36, 5, 30)(51, 76, 53, 78, 63, 88, 67, 92, 72, 97, 57, 82, 65, 90, 69, 94, 55, 80, 58, 83, 73, 98, 75, 100, 60, 85, 70, 95, 74, 99, 66, 91, 61, 86, 52, 77, 59, 84, 68, 93, 54, 79, 64, 89, 62, 87, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 66)(5, 67)(6, 68)(7, 51)(8, 72)(9, 70)(10, 69)(11, 75)(12, 52)(13, 62)(14, 61)(15, 53)(16, 73)(17, 71)(18, 74)(19, 63)(20, 55)(21, 59)(22, 56)(23, 57)(24, 58)(25, 65)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.26
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.49 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1 * Y3, (Y3, Y2^-1), (Y3, Y1), (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3^-3, Y3^-1 * Y1^2 * Y2^2, Y2^-1 * Y1 * Y2^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 13, 38, 18, 43, 4, 29, 10, 35, 22, 47, 24, 49, 16, 41, 17, 42, 6, 31, 11, 36, 15, 40, 3, 28, 9, 34, 19, 44, 23, 48, 25, 50, 14, 39, 7, 32, 12, 37, 21, 46, 20, 45, 5, 30)(51, 76, 53, 78, 63, 88, 73, 98, 60, 85, 57, 82, 66, 91, 70, 95, 61, 86, 52, 77, 59, 84, 68, 93, 75, 100, 72, 97, 62, 87, 67, 92, 55, 80, 65, 90, 58, 83, 69, 94, 54, 79, 64, 89, 74, 99, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 72)(9, 57)(10, 56)(11, 73)(12, 52)(13, 74)(14, 55)(15, 75)(16, 53)(17, 59)(18, 66)(19, 62)(20, 63)(21, 58)(22, 61)(23, 71)(24, 65)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.36
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.50 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, (Y3^-1, Y2^-1), (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3^2 * Y1, Y3^5, Y3^-1 * Y2^-5, Y2 * Y3^2 * Y2 * Y3 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-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 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 19, 44, 21, 46, 23, 48, 25, 50, 12, 37, 16, 41, 4, 29, 8, 33, 17, 42, 14, 39, 18, 43, 7, 32, 10, 35, 20, 45, 22, 47, 24, 49, 15, 40, 11, 36, 13, 38, 3, 28, 5, 30)(51, 76, 53, 78, 61, 86, 74, 99, 70, 95, 57, 82, 64, 89, 58, 83, 66, 91, 75, 100, 71, 96, 59, 84, 52, 77, 55, 80, 63, 88, 65, 90, 72, 97, 60, 85, 68, 93, 67, 92, 54, 79, 62, 87, 73, 98, 69, 94, 56, 81)
	L = (1, 54)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 51)(8, 61)(9, 64)(10, 52)(11, 73)(12, 72)(13, 75)(14, 53)(15, 71)(16, 74)(17, 63)(18, 55)(19, 68)(20, 56)(21, 57)(22, 59)(23, 60)(24, 69)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.29
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.51 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (R * Y3)^2, (Y3, Y1), (Y3, Y2), (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3^-2 * Y2, Y2^2 * Y3^-2 * Y1, Y3^5, Y3^-1 * Y2^-5, Y2^-10 * Y3^-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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 3, 28, 8, 33, 11, 36, 14, 39, 23, 48, 25, 50, 20, 45, 18, 43, 7, 32, 10, 35, 13, 38, 16, 41, 15, 40, 4, 29, 9, 34, 12, 37, 22, 47, 24, 49, 21, 46, 19, 44, 17, 42, 6, 31, 5, 30)(51, 76, 53, 78, 61, 86, 73, 98, 70, 95, 57, 82, 63, 88, 65, 90, 59, 84, 72, 97, 71, 96, 67, 92, 55, 80, 52, 77, 58, 83, 64, 89, 75, 100, 68, 93, 60, 85, 66, 91, 54, 79, 62, 87, 74, 99, 69, 94, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 64)(5, 65)(6, 66)(7, 51)(8, 72)(9, 73)(10, 52)(11, 74)(12, 75)(13, 53)(14, 71)(15, 61)(16, 58)(17, 63)(18, 55)(19, 60)(20, 56)(21, 57)(22, 70)(23, 69)(24, 68)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.33
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.52 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1 * Y2^-1, (Y2^-1, Y3), (Y1, Y3), (R * Y3)^2, Y2 * Y3 * Y1 * Y3, (Y2^-1, Y1), (R * Y1)^2, Y2 * Y3^2 * Y1, (R * Y2)^2, Y2^-4 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3^5, Y1^-4 * Y2 * Y3^-1, Y1^3 * Y2^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 22, 47, 16, 41, 17, 42, 6, 31, 11, 36, 24, 49, 14, 39, 7, 32, 12, 37, 21, 46, 13, 38, 18, 43, 4, 29, 10, 35, 23, 48, 15, 40, 3, 28, 9, 34, 19, 44, 25, 50, 20, 45, 5, 30)(51, 76, 53, 78, 63, 88, 61, 86, 52, 77, 59, 84, 68, 93, 74, 99, 58, 83, 69, 94, 54, 79, 64, 89, 72, 97, 75, 100, 60, 85, 57, 82, 66, 91, 70, 95, 73, 98, 62, 87, 67, 92, 55, 80, 65, 90, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 73)(9, 57)(10, 56)(11, 75)(12, 52)(13, 72)(14, 55)(15, 74)(16, 53)(17, 59)(18, 66)(19, 62)(20, 63)(21, 58)(22, 65)(23, 61)(24, 70)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.54
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.53 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y3, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-3 * Y2, Y3^5, Y3^-2 * Y1^-1 * Y3^-2 * Y2^-1, Y2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 11, 36, 12, 37, 14, 39, 21, 46, 25, 50, 24, 49, 16, 41, 7, 32, 6, 31, 10, 35, 13, 38, 3, 28, 4, 29, 9, 34, 20, 45, 22, 47, 23, 48, 19, 44, 18, 43, 17, 42, 15, 40, 5, 30)(51, 76, 53, 78, 61, 86, 70, 95, 71, 96, 69, 94, 66, 91, 65, 90, 60, 85, 52, 77, 54, 79, 62, 87, 72, 97, 75, 100, 68, 93, 57, 82, 55, 80, 63, 88, 58, 83, 59, 84, 64, 89, 73, 98, 74, 99, 67, 92, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 64)(5, 53)(6, 52)(7, 51)(8, 70)(9, 71)(10, 58)(11, 72)(12, 73)(13, 61)(14, 69)(15, 63)(16, 55)(17, 60)(18, 56)(19, 57)(20, 75)(21, 68)(22, 74)(23, 66)(24, 65)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.55
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.54 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y1, Y3^2 * Y1^-1 * Y2^-1, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y1 * Y3^-1, Y2^2 * Y1^-1 * Y2^2, Y3 * Y1^2 * Y2^2, Y3^3 * Y2 * Y1, Y1^-1 * Y3^-1 * Y2 * Y1^-2 * Y2, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 22, 47, 14, 39, 18, 43, 6, 31, 11, 36, 23, 48, 16, 41, 4, 29, 10, 35, 20, 45, 13, 38, 19, 44, 7, 32, 12, 37, 24, 49, 15, 40, 3, 28, 9, 34, 21, 46, 25, 50, 17, 42, 5, 30)(51, 76, 53, 78, 63, 88, 61, 86, 52, 77, 59, 84, 69, 94, 73, 98, 58, 83, 71, 96, 57, 82, 66, 91, 72, 97, 75, 100, 62, 87, 54, 79, 64, 89, 67, 92, 74, 99, 60, 85, 68, 93, 55, 80, 65, 90, 70, 95, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 59)(5, 66)(6, 62)(7, 51)(8, 70)(9, 68)(10, 71)(11, 74)(12, 52)(13, 67)(14, 69)(15, 72)(16, 53)(17, 73)(18, 57)(19, 55)(20, 75)(21, 56)(22, 63)(23, 65)(24, 58)(25, 61)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.52
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.55 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1, Y2 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-2 * Y1^3, Y3^5, Y3^2 * Y2^-1 * Y3^2 * Y1^-1, Y2^2 * Y3^-1 * Y2^3 * Y3^-1, Y2^7 * Y1^2, Y2^25, 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 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 11, 36, 13, 38, 19, 44, 21, 46, 25, 50, 24, 49, 15, 40, 4, 29, 6, 31, 9, 34, 12, 37, 3, 28, 7, 32, 10, 35, 20, 45, 22, 47, 23, 48, 14, 39, 16, 41, 18, 43, 17, 42, 5, 30)(51, 76, 53, 78, 61, 86, 70, 95, 71, 96, 64, 89, 65, 90, 67, 92, 59, 84, 52, 77, 57, 82, 63, 88, 72, 97, 75, 100, 66, 91, 54, 79, 55, 80, 62, 87, 58, 83, 60, 85, 69, 94, 73, 98, 74, 99, 68, 93, 56, 81)
	L = (1, 54)(2, 56)(3, 55)(4, 64)(5, 65)(6, 66)(7, 51)(8, 59)(9, 68)(10, 52)(11, 62)(12, 67)(13, 53)(14, 69)(15, 73)(16, 71)(17, 74)(18, 75)(19, 57)(20, 58)(21, 60)(22, 61)(23, 63)(24, 72)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.53
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1 * Y3^-2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^6 * Y3 * Y1^6, Y2^25, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 10, 35, 14, 39, 18, 43, 22, 47, 24, 49, 20, 45, 16, 41, 12, 37, 8, 33, 3, 28, 4, 29, 7, 32, 11, 36, 15, 40, 19, 44, 23, 48, 25, 50, 21, 46, 17, 42, 13, 38, 9, 34, 5, 30)(51, 76, 53, 78, 55, 80, 58, 83, 59, 84, 62, 87, 63, 88, 66, 91, 67, 92, 70, 95, 71, 96, 74, 99, 75, 100, 72, 97, 73, 98, 68, 93, 69, 94, 64, 89, 65, 90, 60, 85, 61, 86, 56, 81, 57, 82, 52, 77, 54, 79)
	L = (1, 54)(2, 57)(3, 51)(4, 52)(5, 53)(6, 61)(7, 56)(8, 55)(9, 58)(10, 65)(11, 60)(12, 59)(13, 62)(14, 69)(15, 64)(16, 63)(17, 66)(18, 73)(19, 68)(20, 67)(21, 70)(22, 75)(23, 72)(24, 71)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.69
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y2^-1, R * Y2 * R * Y3^-1, Y2^-1 * Y1 * Y3^3, Y1^2 * Y2 * Y1^4, Y2^25, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 14, 39, 20, 45, 12, 37, 4, 29, 8, 33, 16, 41, 22, 47, 25, 50, 19, 44, 11, 36, 9, 34, 17, 42, 23, 48, 24, 49, 18, 43, 10, 35, 3, 28, 7, 32, 15, 40, 21, 46, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 58, 83, 52, 77, 57, 82, 67, 92, 66, 91, 56, 81, 65, 90, 73, 98, 72, 97, 64, 89, 71, 96, 74, 99, 75, 100, 70, 95, 63, 88, 68, 93, 69, 94, 62, 87, 55, 80, 60, 85, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 66)(7, 52)(8, 59)(9, 53)(10, 55)(11, 60)(12, 69)(13, 70)(14, 72)(15, 56)(16, 67)(17, 57)(18, 63)(19, 68)(20, 75)(21, 64)(22, 73)(23, 65)(24, 71)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.62
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.58 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y1^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y1^3 * Y3 * Y1, Y3^-6 * Y1, Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1, (Y1^-1 * Y2)^25, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 10, 35, 3, 28, 7, 32, 14, 39, 18, 43, 9, 34, 15, 40, 22, 47, 24, 49, 17, 42, 19, 44, 23, 48, 25, 50, 20, 45, 11, 36, 16, 41, 21, 46, 12, 37, 4, 29, 8, 33, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 67, 92, 70, 95, 62, 87, 55, 80, 60, 85, 68, 93, 74, 99, 75, 100, 71, 96, 63, 88, 56, 81, 64, 89, 72, 97, 73, 98, 66, 91, 58, 83, 52, 77, 57, 82, 65, 90, 69, 94, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 63)(7, 52)(8, 66)(9, 53)(10, 55)(11, 69)(12, 70)(13, 71)(14, 56)(15, 57)(16, 73)(17, 59)(18, 60)(19, 65)(20, 67)(21, 75)(22, 64)(23, 72)(24, 68)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.84
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.59 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^-1 * Y3^-1, Y3 * Y2, (Y1^-1, Y3), (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^-4 * Y1^3, Y1 * Y3^-1 * Y1 * Y2 * Y1^2 * Y3^-1, Y1^-15 * Y3^-1 * Y1 * Y3^-1, Y1^15 * Y3 * Y1^-1 * Y3, Y1^25, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 14, 39, 22, 47, 21, 46, 10, 35, 3, 28, 7, 32, 15, 40, 23, 48, 11, 36, 18, 43, 20, 45, 9, 34, 17, 42, 24, 49, 12, 37, 4, 29, 8, 33, 16, 41, 19, 44, 25, 50, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 69, 94, 64, 89, 73, 98, 62, 87, 55, 80, 60, 85, 70, 95, 66, 91, 56, 81, 65, 90, 74, 99, 63, 88, 71, 96, 68, 93, 58, 83, 52, 77, 57, 82, 67, 92, 75, 100, 72, 97, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 66)(7, 52)(8, 68)(9, 53)(10, 55)(11, 72)(12, 73)(13, 74)(14, 69)(15, 56)(16, 70)(17, 57)(18, 71)(19, 59)(20, 60)(21, 63)(22, 75)(23, 64)(24, 65)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.71
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.60 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1 * Y3 * Y2^-6 * Y3, Y3^-24 * Y2, (Y3 * Y2^-1)^25, Y3^-1 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 4, 29, 8, 33, 12, 37, 11, 36, 14, 39, 18, 43, 17, 42, 20, 45, 24, 49, 23, 48, 21, 46, 25, 50, 22, 47, 15, 40, 19, 44, 16, 41, 9, 34, 13, 38, 10, 35, 3, 28, 7, 32, 5, 30)(51, 76, 53, 78, 59, 84, 65, 90, 71, 96, 70, 95, 64, 89, 58, 83, 52, 77, 57, 82, 63, 88, 69, 94, 75, 100, 74, 99, 68, 93, 62, 87, 56, 81, 55, 80, 60, 85, 66, 91, 72, 97, 73, 98, 67, 92, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 56)(6, 62)(7, 52)(8, 64)(9, 53)(10, 55)(11, 67)(12, 68)(13, 57)(14, 70)(15, 59)(16, 60)(17, 73)(18, 74)(19, 63)(20, 71)(21, 65)(22, 66)(23, 72)(24, 75)(25, 69)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.81
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.61 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3^-2 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), (Y1, Y2^-1), Y3 * Y1^3 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1^2, Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^2 * Y1 * Y2 * Y1 * Y2 * Y3^-3, Y2 * Y1 * Y2^2 * Y3^-1 * Y1 * Y3^-3, Y1 * Y2^-1 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^2, Y2^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 15, 40, 20, 45, 22, 47, 24, 49, 17, 42, 19, 44, 12, 37, 4, 29, 8, 33, 10, 35, 3, 28, 7, 32, 14, 39, 16, 41, 21, 46, 23, 48, 25, 50, 18, 43, 11, 36, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 66, 91, 72, 97, 75, 100, 69, 94, 63, 88, 58, 83, 52, 77, 57, 82, 65, 90, 71, 96, 74, 99, 68, 93, 62, 87, 55, 80, 60, 85, 56, 81, 64, 89, 70, 95, 73, 98, 67, 92, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 60)(7, 52)(8, 63)(9, 53)(10, 55)(11, 67)(12, 68)(13, 69)(14, 56)(15, 57)(16, 59)(17, 73)(18, 74)(19, 75)(20, 64)(21, 65)(22, 66)(23, 70)(24, 71)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.78
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.62 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y3^-1 * Y2^-1, (Y1^-1, Y3^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, (Y1, Y2^-1), Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-2 * Y3, Y1^2 * Y2 * Y1^5 * Y3^-1, Y2^25, 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 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 14, 39, 20, 45, 23, 48, 17, 42, 11, 36, 10, 35, 3, 28, 7, 32, 15, 40, 21, 46, 24, 49, 18, 43, 12, 37, 4, 29, 8, 33, 9, 34, 16, 41, 22, 47, 25, 50, 19, 44, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 56, 81, 65, 90, 72, 97, 70, 95, 74, 99, 69, 94, 67, 92, 62, 87, 55, 80, 60, 85, 58, 83, 52, 77, 57, 82, 66, 91, 64, 89, 71, 96, 75, 100, 73, 98, 68, 93, 63, 88, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 59)(7, 52)(8, 60)(9, 53)(10, 55)(11, 63)(12, 67)(13, 68)(14, 66)(15, 56)(16, 57)(17, 69)(18, 73)(19, 74)(20, 72)(21, 64)(22, 65)(23, 75)(24, 70)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.57
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.63 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^2 * Y2^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y3^-12, Y2^25, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 3, 28, 6, 31, 7, 32, 10, 35, 11, 36, 14, 39, 15, 40, 18, 43, 19, 44, 22, 47, 23, 48, 24, 49, 25, 50, 20, 45, 21, 46, 16, 41, 17, 42, 12, 37, 13, 38, 8, 33, 9, 34, 4, 29, 5, 30)(51, 76, 53, 78, 57, 82, 61, 86, 65, 90, 69, 94, 73, 98, 75, 100, 71, 96, 67, 92, 63, 88, 59, 84, 55, 80, 52, 77, 56, 81, 60, 85, 64, 89, 68, 93, 72, 97, 74, 99, 70, 95, 66, 91, 62, 87, 58, 83, 54, 79)
	L = (1, 54)(2, 55)(3, 51)(4, 58)(5, 59)(6, 52)(7, 53)(8, 62)(9, 63)(10, 56)(11, 57)(12, 66)(13, 67)(14, 60)(15, 61)(16, 70)(17, 71)(18, 64)(19, 65)(20, 74)(21, 75)(22, 68)(23, 69)(24, 72)(25, 73)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.64
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.64 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3^2 * Y1, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1^-5, Y3 * Y2 * Y1^-2 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 16, 41, 21, 46, 13, 38, 3, 28, 9, 34, 17, 42, 24, 49, 22, 47, 14, 39, 4, 29, 7, 32, 11, 36, 19, 44, 25, 50, 20, 45, 12, 37, 6, 31, 10, 35, 18, 43, 23, 48, 15, 40, 5, 30)(51, 76, 53, 78, 54, 79, 62, 87, 55, 80, 63, 88, 64, 89, 70, 95, 65, 90, 71, 96, 72, 97, 75, 100, 73, 98, 66, 91, 74, 99, 69, 94, 68, 93, 58, 83, 67, 92, 61, 86, 60, 85, 52, 77, 59, 84, 57, 82, 56, 81)
	L = (1, 54)(2, 57)(3, 62)(4, 55)(5, 64)(6, 53)(7, 51)(8, 61)(9, 56)(10, 59)(11, 52)(12, 63)(13, 70)(14, 65)(15, 72)(16, 69)(17, 60)(18, 67)(19, 58)(20, 71)(21, 75)(22, 73)(23, 74)(24, 68)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.63
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.65 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, Y2^2 * Y3^-1, Y3^3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-3, Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 17, 42, 6, 31, 11, 36, 21, 46, 18, 43, 7, 32, 12, 37, 22, 47, 25, 50, 19, 44, 13, 38, 23, 48, 24, 49, 15, 40, 4, 29, 10, 35, 20, 45, 14, 39, 3, 28, 9, 34, 16, 41, 5, 30)(51, 76, 53, 78, 54, 79, 63, 88, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 73, 98, 72, 97, 71, 96, 58, 83, 66, 91, 70, 95, 74, 99, 75, 100, 68, 93, 67, 92, 55, 80, 64, 89, 65, 90, 69, 94, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 62)(5, 65)(6, 53)(7, 51)(8, 70)(9, 73)(10, 72)(11, 59)(12, 52)(13, 61)(14, 69)(15, 57)(16, 74)(17, 64)(18, 55)(19, 56)(20, 75)(21, 66)(22, 58)(23, 71)(24, 68)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.67
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.66 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y2^-1, Y1), (Y1^-1, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^2 * Y2, Y2^-1 * Y1 * Y3^-3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^11 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 21, 46, 13, 38, 25, 50, 18, 43, 6, 31, 11, 36, 23, 48, 16, 41, 4, 29, 10, 35, 19, 44, 7, 32, 12, 37, 24, 49, 14, 39, 3, 28, 9, 34, 22, 47, 20, 45, 15, 40, 17, 42, 5, 30)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 75, 100, 67, 92, 74, 99, 73, 98, 58, 83, 72, 97, 69, 94, 68, 93, 55, 80, 64, 89, 66, 91, 71, 96, 70, 95, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 69)(9, 75)(10, 67)(11, 59)(12, 52)(13, 62)(14, 71)(15, 61)(16, 70)(17, 73)(18, 64)(19, 55)(20, 56)(21, 57)(22, 68)(23, 72)(24, 58)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.68
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.67 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y1^-1 * Y2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y3^-1), Y3 * Y1 * Y3^3, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 3, 28, 9, 34, 15, 40, 4, 29, 10, 35, 20, 45, 13, 38, 21, 46, 25, 50, 14, 39, 19, 44, 23, 48, 24, 49, 18, 43, 22, 47, 17, 42, 7, 32, 12, 37, 16, 41, 6, 31, 11, 36, 5, 30)(51, 76, 53, 78, 54, 79, 63, 88, 64, 89, 74, 99, 67, 92, 66, 91, 55, 80, 58, 83, 65, 90, 70, 95, 75, 100, 73, 98, 72, 97, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 71, 96, 69, 94, 68, 93, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 64)(5, 65)(6, 53)(7, 51)(8, 70)(9, 71)(10, 69)(11, 59)(12, 52)(13, 74)(14, 67)(15, 75)(16, 58)(17, 55)(18, 56)(19, 57)(20, 73)(21, 68)(22, 61)(23, 62)(24, 66)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.65
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.68 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y2^-1, Y1), (R * Y1)^2, (Y1, Y3^-1), (R * Y3)^2, Y3 * Y1^3, (R * Y2)^2, Y2 * Y1^2 * Y2 * Y1, Y3^-3 * Y1^2 * Y2^-1, Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 7, 32, 12, 37, 21, 46, 19, 44, 25, 50, 13, 38, 22, 47, 14, 39, 3, 28, 9, 34, 17, 42, 6, 31, 11, 36, 20, 45, 18, 43, 24, 49, 15, 40, 23, 48, 16, 41, 4, 29, 10, 35, 5, 30)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 71, 96, 70, 95, 58, 83, 67, 92, 55, 80, 64, 89, 66, 91, 75, 100, 74, 99, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 72, 97, 73, 98, 69, 94, 68, 93, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 55)(9, 72)(10, 73)(11, 59)(12, 52)(13, 71)(14, 75)(15, 70)(16, 74)(17, 64)(18, 56)(19, 57)(20, 67)(21, 58)(22, 69)(23, 68)(24, 61)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.66
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.69 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y3^-1, Y1), Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-4, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 25, 50, 21, 46, 16, 41, 4, 29, 10, 35, 6, 31, 11, 36, 17, 42, 20, 45, 24, 49, 15, 40, 14, 39, 3, 28, 9, 34, 7, 32, 12, 37, 19, 44, 23, 48, 22, 47, 13, 38, 5, 30)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 71, 96, 73, 98, 70, 95, 68, 93, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 55, 80, 64, 89, 66, 91, 72, 97, 74, 99, 75, 100, 69, 94, 67, 92, 58, 83, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 56)(9, 55)(10, 64)(11, 59)(12, 52)(13, 71)(14, 72)(15, 73)(16, 74)(17, 57)(18, 61)(19, 58)(20, 62)(21, 70)(22, 75)(23, 68)(24, 69)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.56
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.70 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y3 * Y2^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-3 * Y2 * Y1^-3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 16, 41, 20, 45, 12, 37, 3, 28, 9, 34, 17, 42, 24, 49, 23, 48, 15, 40, 7, 32, 4, 29, 10, 35, 18, 43, 25, 50, 21, 46, 13, 38, 6, 31, 11, 36, 19, 44, 22, 47, 14, 39, 5, 30)(51, 76, 53, 78, 57, 82, 63, 88, 55, 80, 62, 87, 65, 90, 71, 96, 64, 89, 70, 95, 73, 98, 75, 100, 72, 97, 66, 91, 74, 99, 68, 93, 69, 94, 58, 83, 67, 92, 60, 85, 61, 86, 52, 77, 59, 84, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 52)(5, 57)(6, 59)(7, 51)(8, 68)(9, 61)(10, 58)(11, 67)(12, 63)(13, 53)(14, 65)(15, 55)(16, 75)(17, 69)(18, 66)(19, 74)(20, 71)(21, 62)(22, 73)(23, 64)(24, 72)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.82
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.71 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y2^-2 * Y3^-1, Y1 * Y3^3, (R * Y2)^2, (R * Y1)^2, Y3^-3 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y1), Y1^-1 * Y2^-1 * Y1^-3, Y1^-2 * Y3^-1 * Y1 * Y3^-2, Y1^-2 * Y2 * Y3^-2 * Y1 * Y2, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 19, 44, 6, 31, 11, 36, 21, 46, 16, 41, 4, 29, 10, 35, 20, 45, 25, 50, 17, 42, 14, 39, 23, 48, 24, 49, 15, 40, 7, 32, 12, 37, 22, 47, 13, 38, 3, 28, 9, 34, 18, 43, 5, 30)(51, 76, 53, 78, 57, 82, 64, 89, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 73, 98, 70, 95, 71, 96, 58, 83, 68, 93, 72, 97, 74, 99, 75, 100, 66, 91, 69, 94, 55, 80, 63, 88, 65, 90, 67, 92, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 65)(5, 66)(6, 67)(7, 51)(8, 70)(9, 61)(10, 57)(11, 64)(12, 52)(13, 69)(14, 53)(15, 55)(16, 74)(17, 63)(18, 71)(19, 75)(20, 62)(21, 73)(22, 58)(23, 59)(24, 68)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.59
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.72 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, Y3^-3 * Y1, (R * Y2)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-4, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 13, 38, 3, 28, 9, 34, 20, 45, 19, 44, 7, 32, 12, 37, 22, 47, 24, 49, 14, 39, 16, 41, 23, 48, 25, 50, 15, 40, 4, 29, 10, 35, 21, 46, 18, 43, 6, 31, 11, 36, 17, 42, 5, 30)(51, 76, 53, 78, 57, 82, 64, 89, 65, 90, 68, 93, 55, 80, 63, 88, 69, 94, 74, 99, 75, 100, 71, 96, 67, 92, 58, 83, 70, 95, 72, 97, 73, 98, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 66, 91, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 62)(5, 65)(6, 66)(7, 51)(8, 71)(9, 61)(10, 72)(11, 73)(12, 52)(13, 68)(14, 53)(15, 57)(16, 59)(17, 75)(18, 64)(19, 55)(20, 67)(21, 74)(22, 58)(23, 70)(24, 63)(25, 69)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.73
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, Y1^-3 * Y3^-1, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1, Y2), Y2^-1 * Y1^2 * Y2^-1 * Y1, Y3^-2 * Y2 * Y3^-1 * 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 7, 32, 12, 37, 21, 46, 19, 44, 25, 50, 17, 42, 24, 49, 18, 43, 6, 31, 11, 36, 13, 38, 3, 28, 9, 34, 20, 45, 14, 39, 22, 47, 15, 40, 23, 48, 16, 41, 4, 29, 10, 35, 5, 30)(51, 76, 53, 78, 57, 82, 64, 89, 69, 94, 73, 98, 74, 99, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 72, 97, 75, 100, 66, 91, 68, 93, 55, 80, 63, 88, 58, 83, 70, 95, 71, 96, 65, 90, 67, 92, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 65)(5, 66)(6, 67)(7, 51)(8, 55)(9, 61)(10, 73)(11, 74)(12, 52)(13, 68)(14, 53)(15, 70)(16, 72)(17, 71)(18, 75)(19, 57)(20, 63)(21, 58)(22, 59)(23, 64)(24, 69)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.72
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (Y1, Y3), (Y3^-1, Y1), Y3 * Y1^-3, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1^2, Y1^2 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^3 * Y1^2 * Y2^-1, Y3^-1 * Y1 * Y3^-3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * 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)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 4, 29, 10, 35, 20, 45, 15, 40, 23, 48, 14, 39, 22, 47, 13, 38, 3, 28, 9, 34, 17, 42, 6, 31, 11, 36, 21, 46, 16, 41, 24, 49, 19, 44, 25, 50, 18, 43, 7, 32, 12, 37, 5, 30)(51, 76, 53, 78, 57, 82, 64, 89, 69, 94, 70, 95, 71, 96, 58, 83, 67, 92, 55, 80, 63, 88, 68, 93, 73, 98, 74, 99, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 72, 97, 75, 100, 65, 90, 66, 91, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 65)(5, 58)(6, 66)(7, 51)(8, 70)(9, 61)(10, 73)(11, 74)(12, 52)(13, 67)(14, 53)(15, 72)(16, 75)(17, 71)(18, 55)(19, 57)(20, 64)(21, 69)(22, 59)(23, 63)(24, 68)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.85
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, (Y3^-1, Y1^-1), (Y1, Y2), Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y1^2 * Y3^3, Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 23, 48, 22, 47, 16, 41, 7, 32, 12, 37, 6, 31, 11, 36, 15, 40, 20, 45, 24, 49, 17, 42, 13, 38, 3, 28, 9, 34, 4, 29, 10, 35, 19, 44, 25, 50, 21, 46, 14, 39, 5, 30)(51, 76, 53, 78, 57, 82, 64, 89, 67, 92, 72, 97, 75, 100, 70, 95, 68, 93, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 55, 80, 63, 88, 66, 91, 71, 96, 74, 99, 73, 98, 69, 94, 65, 90, 58, 83, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 65)(5, 59)(6, 58)(7, 51)(8, 69)(9, 61)(10, 70)(11, 68)(12, 52)(13, 62)(14, 53)(15, 73)(16, 55)(17, 57)(18, 75)(19, 74)(20, 72)(21, 63)(22, 64)(23, 71)(24, 66)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.80
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y3 * Y2, (R * Y1)^2, Y2^3 * Y3^-1, (R * Y3)^2, (R * Y2)^2, Y1 * Y3^3 * Y1^3, Y3^-9 * Y2^2, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 23, 48, 15, 40, 6, 31, 4, 29, 10, 35, 20, 45, 25, 50, 17, 42, 12, 37, 11, 36, 13, 38, 21, 46, 24, 49, 16, 41, 7, 32, 3, 28, 9, 34, 19, 44, 22, 47, 14, 39, 5, 30)(51, 76, 53, 78, 61, 86, 54, 79, 52, 77, 59, 84, 63, 88, 60, 85, 58, 83, 69, 94, 71, 96, 70, 95, 68, 93, 72, 97, 74, 99, 75, 100, 73, 98, 64, 89, 66, 91, 67, 92, 65, 90, 55, 80, 57, 82, 62, 87, 56, 81)
	L = (1, 54)(2, 60)(3, 52)(4, 63)(5, 56)(6, 61)(7, 51)(8, 70)(9, 58)(10, 71)(11, 59)(12, 53)(13, 69)(14, 65)(15, 62)(16, 55)(17, 57)(18, 75)(19, 68)(20, 74)(21, 72)(22, 73)(23, 67)(24, 64)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.79
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y3 * Y2^-2, Y3^-1 * Y2^3, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^4 * Y2, Y2^-2 * Y1^-1 * Y3 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 17, 42, 6, 31, 11, 36, 21, 46, 25, 50, 15, 40, 13, 38, 23, 48, 18, 43, 7, 32, 4, 29, 10, 35, 20, 45, 19, 44, 12, 37, 22, 47, 24, 49, 14, 39, 3, 28, 9, 34, 16, 41, 5, 30)(51, 76, 53, 78, 62, 87, 54, 79, 63, 88, 61, 86, 52, 77, 59, 84, 72, 97, 60, 85, 73, 98, 71, 96, 58, 83, 66, 91, 74, 99, 70, 95, 68, 93, 75, 100, 67, 92, 55, 80, 64, 89, 69, 94, 57, 82, 65, 90, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 52)(5, 57)(6, 62)(7, 51)(8, 70)(9, 73)(10, 58)(11, 72)(12, 61)(13, 59)(14, 65)(15, 53)(16, 68)(17, 69)(18, 55)(19, 56)(20, 67)(21, 74)(22, 71)(23, 66)(24, 75)(25, 64)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.83
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y2^2 * Y3^-1 * Y2, Y3^-1 * Y2^3, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1), (R * Y1)^2, Y1^-4 * Y2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 14, 39, 3, 28, 9, 34, 20, 45, 24, 49, 12, 37, 19, 44, 23, 48, 16, 41, 4, 29, 7, 32, 11, 36, 21, 46, 13, 38, 15, 40, 22, 47, 25, 50, 18, 43, 6, 31, 10, 35, 17, 42, 5, 30)(51, 76, 53, 78, 62, 87, 54, 79, 63, 88, 68, 93, 55, 80, 64, 89, 74, 99, 66, 91, 71, 96, 75, 100, 67, 92, 58, 83, 70, 95, 73, 98, 61, 86, 72, 97, 60, 85, 52, 77, 59, 84, 69, 94, 57, 82, 65, 90, 56, 81)
	L = (1, 54)(2, 57)(3, 63)(4, 55)(5, 66)(6, 62)(7, 51)(8, 61)(9, 65)(10, 69)(11, 52)(12, 68)(13, 64)(14, 71)(15, 53)(16, 67)(17, 73)(18, 74)(19, 56)(20, 72)(21, 58)(22, 59)(23, 60)(24, 75)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.61
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-3, Y3 * Y2^-3, (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y1^3 * Y2^-2, Y1 * Y2 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 13, 38, 22, 47, 24, 49, 14, 39, 20, 45, 7, 32, 12, 37, 19, 44, 6, 31, 11, 36, 15, 40, 3, 28, 9, 34, 17, 42, 4, 29, 10, 35, 21, 46, 23, 48, 25, 50, 16, 41, 18, 43, 5, 30)(51, 76, 53, 78, 63, 88, 54, 79, 64, 89, 73, 98, 62, 87, 68, 93, 61, 86, 52, 77, 59, 84, 72, 97, 60, 85, 70, 95, 75, 100, 69, 94, 55, 80, 65, 90, 58, 83, 67, 92, 74, 99, 71, 96, 57, 82, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 62)(5, 67)(6, 63)(7, 51)(8, 71)(9, 70)(10, 69)(11, 72)(12, 52)(13, 73)(14, 68)(15, 74)(16, 53)(17, 57)(18, 59)(19, 58)(20, 55)(21, 56)(22, 75)(23, 61)(24, 66)(25, 65)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.76
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.80 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y3^-1, Y2 * Y1^-3, (Y2^-1, Y3), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2^2, Y2 * Y1^-1 * Y3^3, 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 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 3, 28, 9, 34, 22, 47, 13, 38, 16, 41, 20, 45, 7, 32, 12, 37, 23, 48, 15, 40, 18, 43, 25, 50, 17, 42, 4, 29, 10, 35, 21, 46, 14, 39, 24, 49, 19, 44, 6, 31, 11, 36, 5, 30)(51, 76, 53, 78, 63, 88, 57, 82, 65, 90, 67, 92, 71, 96, 69, 94, 55, 80, 58, 83, 72, 97, 70, 95, 73, 98, 75, 100, 60, 85, 74, 99, 61, 86, 52, 77, 59, 84, 66, 91, 62, 87, 68, 93, 54, 79, 64, 89, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 66)(5, 67)(6, 68)(7, 51)(8, 71)(9, 74)(10, 70)(11, 75)(12, 52)(13, 56)(14, 62)(15, 53)(16, 61)(17, 63)(18, 59)(19, 65)(20, 55)(21, 57)(22, 69)(23, 58)(24, 73)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.75
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.81 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-2, Y2^-3 * Y3^-1, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), Y3 * Y1 * Y3 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 14, 39, 22, 47, 25, 50, 18, 43, 21, 46, 7, 32, 12, 37, 15, 40, 3, 28, 9, 34, 20, 45, 6, 31, 11, 36, 17, 42, 4, 29, 10, 35, 16, 41, 23, 48, 24, 49, 13, 38, 19, 44, 5, 30)(51, 76, 53, 78, 63, 88, 57, 82, 66, 91, 75, 100, 67, 92, 58, 83, 70, 95, 55, 80, 65, 90, 74, 99, 71, 96, 60, 85, 72, 97, 61, 86, 52, 77, 59, 84, 69, 94, 62, 87, 73, 98, 68, 93, 54, 79, 64, 89, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 62)(5, 67)(6, 68)(7, 51)(8, 66)(9, 72)(10, 65)(11, 71)(12, 52)(13, 56)(14, 73)(15, 58)(16, 53)(17, 57)(18, 69)(19, 61)(20, 75)(21, 55)(22, 74)(23, 59)(24, 70)(25, 63)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.60
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.82 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2, Y2 * Y1^2, (Y3^-1, Y2^-1), (Y1^-1, Y3^-1), (Y3^-1, Y2^-1), Y2^-1 * Y3^-1 * Y2^-2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y3^2 * Y1 * Y3^2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^2 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y2, Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 12, 37, 16, 41, 4, 29, 8, 33, 17, 42, 20, 45, 23, 48, 25, 50, 15, 40, 19, 44, 21, 46, 22, 47, 24, 49, 14, 39, 18, 43, 7, 32, 10, 35, 11, 36, 13, 38, 3, 28, 5, 30)(51, 76, 53, 78, 61, 86, 57, 82, 64, 89, 72, 97, 69, 94, 75, 100, 70, 95, 58, 83, 66, 91, 59, 84, 52, 77, 55, 80, 63, 88, 60, 85, 68, 93, 74, 99, 71, 96, 65, 90, 73, 98, 67, 92, 54, 79, 62, 87, 56, 81)
	L = (1, 54)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 51)(8, 69)(9, 70)(10, 52)(11, 56)(12, 73)(13, 59)(14, 53)(15, 68)(16, 75)(17, 71)(18, 55)(19, 57)(20, 72)(21, 60)(22, 61)(23, 74)(24, 63)(25, 64)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.70
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.83 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1 * Y2 * Y1^2, Y1 * Y2 * Y1^2, (Y2, Y3), (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^4 * Y3^-1, Y3 * Y1 * Y3 * Y2 * Y1, Y2^-1 * Y3 * Y2^-3, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 6, 31, 11, 36, 20, 45, 18, 43, 23, 48, 25, 50, 15, 40, 13, 38, 17, 42, 7, 32, 4, 29, 10, 35, 19, 44, 16, 41, 22, 47, 24, 49, 12, 37, 21, 46, 14, 39, 3, 28, 9, 34, 5, 30)(51, 76, 53, 78, 62, 87, 66, 91, 54, 79, 63, 88, 73, 98, 61, 86, 52, 77, 59, 84, 71, 96, 72, 97, 60, 85, 67, 92, 75, 100, 70, 95, 58, 83, 55, 80, 64, 89, 74, 99, 69, 94, 57, 82, 65, 90, 68, 93, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 52)(5, 57)(6, 66)(7, 51)(8, 69)(9, 67)(10, 58)(11, 72)(12, 73)(13, 59)(14, 65)(15, 53)(16, 61)(17, 55)(18, 62)(19, 56)(20, 74)(21, 75)(22, 70)(23, 71)(24, 68)(25, 64)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.77
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y3^-2, Y2^-1 * Y1 * Y3^-2, (Y3^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^2 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3 * Y1, Y2^4 * Y3^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 13, 38, 24, 49, 16, 41, 4, 29, 10, 35, 15, 40, 25, 50, 19, 44, 6, 31, 11, 36, 14, 39, 3, 28, 9, 34, 22, 47, 17, 42, 20, 45, 7, 32, 12, 37, 23, 48, 21, 46, 18, 43, 5, 30)(51, 76, 53, 78, 63, 88, 67, 92, 54, 79, 62, 87, 75, 100, 68, 93, 61, 86, 52, 77, 59, 84, 74, 99, 70, 95, 60, 85, 73, 98, 69, 94, 55, 80, 64, 89, 58, 83, 72, 97, 66, 91, 57, 82, 65, 90, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 61)(5, 66)(6, 67)(7, 51)(8, 65)(9, 73)(10, 64)(11, 70)(12, 52)(13, 75)(14, 57)(15, 53)(16, 56)(17, 68)(18, 74)(19, 72)(20, 55)(21, 63)(22, 71)(23, 58)(24, 69)(25, 59)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.58
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-2, Y3^-1 * Y1^-1 * Y3^-2, (Y2^-1, Y3), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-2 * Y1 * Y2, Y3 * Y2^-4, Y2 * Y3 * Y2^2 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 3, 28, 8, 33, 11, 36, 20, 45, 16, 41, 15, 40, 4, 29, 9, 34, 12, 37, 21, 46, 23, 48, 25, 50, 24, 49, 19, 44, 14, 39, 7, 32, 10, 35, 13, 38, 22, 47, 18, 43, 17, 42, 6, 31, 5, 30)(51, 76, 53, 78, 61, 86, 66, 91, 54, 79, 62, 87, 73, 98, 74, 99, 64, 89, 60, 85, 72, 97, 67, 92, 55, 80, 52, 77, 58, 83, 70, 95, 65, 90, 59, 84, 71, 96, 75, 100, 69, 94, 57, 82, 63, 88, 68, 93, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 64)(5, 65)(6, 66)(7, 51)(8, 71)(9, 57)(10, 52)(11, 73)(12, 60)(13, 53)(14, 55)(15, 69)(16, 74)(17, 70)(18, 61)(19, 56)(20, 75)(21, 63)(22, 58)(23, 72)(24, 67)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.74
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 15, 41, 22, 48, 14, 40, 6, 32, 3, 29, 8, 34, 16, 42, 21, 47, 13, 39, 5, 31)(4, 30, 9, 35, 17, 43, 23, 49, 26, 52, 20, 46, 12, 38, 10, 36, 18, 44, 24, 50, 25, 51, 19, 45, 11, 37)(53, 79, 55, 81, 54, 80, 60, 86, 59, 85, 68, 94, 67, 93, 73, 99, 74, 100, 65, 91, 66, 92, 57, 83, 58, 84)(56, 82, 62, 88, 61, 87, 70, 96, 69, 95, 76, 102, 75, 101, 77, 103, 78, 104, 71, 97, 72, 98, 63, 89, 64, 90)
	L = (1, 56)(2, 61)(3, 62)(4, 53)(5, 63)(6, 64)(7, 69)(8, 70)(9, 54)(10, 55)(11, 57)(12, 58)(13, 71)(14, 72)(15, 75)(16, 76)(17, 59)(18, 60)(19, 65)(20, 66)(21, 77)(22, 78)(23, 67)(24, 68)(25, 73)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.247
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 15, 41, 20, 46, 11, 37, 3, 29, 6, 32, 9, 35, 17, 43, 22, 48, 14, 40, 5, 31)(4, 30, 8, 34, 16, 42, 23, 49, 25, 51, 19, 45, 10, 36, 13, 39, 18, 44, 24, 50, 26, 52, 21, 47, 12, 38)(53, 79, 55, 81, 57, 83, 63, 89, 66, 92, 72, 98, 74, 100, 67, 93, 69, 95, 59, 85, 61, 87, 54, 80, 58, 84)(56, 82, 62, 88, 64, 90, 71, 97, 73, 99, 77, 103, 78, 104, 75, 101, 76, 102, 68, 94, 70, 96, 60, 86, 65, 91)
	L = (1, 56)(2, 60)(3, 62)(4, 53)(5, 64)(6, 65)(7, 68)(8, 54)(9, 70)(10, 55)(11, 71)(12, 57)(13, 58)(14, 73)(15, 75)(16, 59)(17, 76)(18, 61)(19, 63)(20, 77)(21, 66)(22, 78)(23, 67)(24, 69)(25, 72)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.248
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-3 * Y1, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y1^4 * Y2, Y3 * Y2^2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 16, 42, 6, 32, 10, 36, 18, 44, 22, 48, 12, 38, 3, 29, 8, 34, 15, 41, 5, 31)(4, 30, 9, 35, 17, 43, 24, 50, 14, 40, 20, 46, 25, 51, 26, 52, 21, 47, 11, 37, 19, 45, 23, 49, 13, 39)(53, 79, 55, 81, 62, 88, 54, 80, 60, 86, 70, 96, 59, 85, 67, 93, 74, 100, 68, 94, 57, 83, 64, 90, 58, 84)(56, 82, 63, 89, 72, 98, 61, 87, 71, 97, 77, 103, 69, 95, 75, 101, 78, 104, 76, 102, 65, 91, 73, 99, 66, 92)
	L = (1, 56)(2, 61)(3, 63)(4, 53)(5, 65)(6, 66)(7, 69)(8, 71)(9, 54)(10, 72)(11, 55)(12, 73)(13, 57)(14, 58)(15, 75)(16, 76)(17, 59)(18, 77)(19, 60)(20, 62)(21, 64)(22, 78)(23, 67)(24, 68)(25, 70)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.244
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3 * Y1, (Y1, Y2), (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, Y1^-4 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 13, 39, 3, 29, 8, 34, 17, 43, 22, 48, 11, 37, 6, 32, 10, 36, 16, 42, 5, 31)(4, 30, 9, 35, 18, 44, 23, 49, 12, 38, 19, 45, 25, 51, 26, 52, 21, 47, 15, 41, 20, 46, 24, 50, 14, 40)(53, 79, 55, 81, 63, 89, 57, 83, 65, 91, 74, 100, 68, 94, 59, 85, 69, 95, 62, 88, 54, 80, 60, 86, 58, 84)(56, 82, 64, 90, 73, 99, 66, 92, 75, 101, 78, 104, 76, 102, 70, 96, 77, 103, 72, 98, 61, 87, 71, 97, 67, 93)
	L = (1, 56)(2, 61)(3, 64)(4, 53)(5, 66)(6, 67)(7, 70)(8, 71)(9, 54)(10, 72)(11, 73)(12, 55)(13, 75)(14, 57)(15, 58)(16, 76)(17, 77)(18, 59)(19, 60)(20, 62)(21, 63)(22, 78)(23, 65)(24, 68)(25, 69)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.245
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^2, Y2 * Y1 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 11, 37, 17, 43, 6, 32, 10, 36, 13, 39, 3, 29, 8, 34, 18, 44, 16, 42, 5, 31)(4, 30, 9, 35, 19, 45, 22, 48, 25, 51, 15, 41, 21, 47, 23, 49, 12, 38, 20, 46, 26, 52, 24, 50, 14, 40)(53, 79, 55, 81, 63, 89, 68, 94, 62, 88, 54, 80, 60, 86, 69, 95, 57, 83, 65, 91, 59, 85, 70, 96, 58, 84)(56, 82, 64, 90, 74, 100, 76, 102, 73, 99, 61, 87, 72, 98, 77, 103, 66, 92, 75, 101, 71, 97, 78, 104, 67, 93)
	L = (1, 56)(2, 61)(3, 64)(4, 53)(5, 66)(6, 67)(7, 71)(8, 72)(9, 54)(10, 73)(11, 74)(12, 55)(13, 75)(14, 57)(15, 58)(16, 76)(17, 77)(18, 78)(19, 59)(20, 60)(21, 62)(22, 63)(23, 65)(24, 68)(25, 69)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.246
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y3 * Y1^-1 * Y3, (Y2^-1 * Y3^-1)^2, (Y2^-1, Y3), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-6, 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 * Y1, (Y3^-1 * Y1^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 21, 47, 12, 38, 3, 29, 6, 32, 10, 36, 19, 45, 23, 49, 15, 41, 5, 31)(4, 30, 9, 35, 18, 44, 25, 51, 22, 48, 13, 39, 11, 37, 14, 40, 20, 46, 26, 52, 24, 50, 16, 42, 7, 33)(53, 79, 55, 81, 57, 83, 64, 90, 67, 93, 73, 99, 75, 101, 69, 95, 71, 97, 60, 86, 62, 88, 54, 80, 58, 84)(56, 82, 63, 89, 59, 85, 65, 91, 68, 94, 74, 100, 76, 102, 77, 103, 78, 104, 70, 96, 72, 98, 61, 87, 66, 92)
	L = (1, 56)(2, 61)(3, 63)(4, 54)(5, 59)(6, 66)(7, 53)(8, 70)(9, 60)(10, 72)(11, 58)(12, 65)(13, 55)(14, 62)(15, 68)(16, 57)(17, 77)(18, 69)(19, 78)(20, 71)(21, 74)(22, 64)(23, 76)(24, 67)(25, 73)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.263
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-3, Y3^2 * Y1^-1 * Y2^-1, (R * Y1)^2, (Y3, Y1^-1), (Y3, Y2^-1), Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, Y1^2 * Y2^-1 * Y1^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 27, 2, 28, 8, 34, 15, 41, 3, 29, 9, 35, 19, 45, 23, 49, 13, 39, 6, 32, 11, 37, 17, 43, 5, 31)(4, 30, 10, 36, 20, 46, 24, 50, 14, 40, 22, 48, 26, 52, 18, 44, 7, 33, 12, 38, 21, 47, 25, 51, 16, 42)(53, 79, 55, 81, 65, 91, 57, 83, 67, 93, 75, 101, 69, 95, 60, 86, 71, 97, 63, 89, 54, 80, 61, 87, 58, 84)(56, 82, 66, 92, 59, 85, 68, 94, 76, 102, 70, 96, 77, 103, 72, 98, 78, 104, 73, 99, 62, 88, 74, 100, 64, 90)
	L = (1, 56)(2, 62)(3, 66)(4, 61)(5, 68)(6, 64)(7, 53)(8, 72)(9, 74)(10, 71)(11, 73)(12, 54)(13, 59)(14, 58)(15, 76)(16, 55)(17, 77)(18, 57)(19, 78)(20, 75)(21, 60)(22, 63)(23, 70)(24, 65)(25, 67)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.264
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^3, (Y2^-1 * Y3^-1)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^2 * Y2^2, Y3^2 * Y1 * Y2^-2, Y1 * Y3^2 * Y2^-2, Y3^2 * Y1^-1 * Y2 * Y1^-2, Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 6, 32, 11, 37, 22, 48, 17, 43, 13, 39, 24, 50, 15, 41, 3, 29, 9, 35, 5, 31)(4, 30, 10, 36, 21, 47, 19, 45, 16, 42, 26, 52, 20, 46, 7, 33, 12, 38, 23, 49, 14, 40, 25, 51, 18, 44)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 76, 102, 74, 100, 60, 86, 57, 83, 67, 93, 69, 95, 58, 84)(56, 82, 66, 92, 59, 85, 68, 94, 62, 88, 77, 103, 64, 90, 78, 104, 73, 99, 70, 96, 75, 101, 72, 98, 71, 97)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 73)(9, 77)(10, 65)(11, 68)(12, 54)(13, 59)(14, 58)(15, 75)(16, 55)(17, 72)(18, 74)(19, 67)(20, 57)(21, 76)(22, 78)(23, 60)(24, 64)(25, 63)(26, 61)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.251
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2 * Y1^-1, (Y3^-1, Y2^-1), (Y2^-1 * Y3^-1)^2, Y2^2 * Y3^2, (R * Y2)^2, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y3^-4 * Y1, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y1^-1 * Y3^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 3, 29, 9, 35, 21, 47, 13, 39, 16, 42, 25, 51, 19, 45, 6, 32, 11, 37, 5, 31)(4, 30, 10, 36, 22, 48, 14, 40, 24, 50, 20, 46, 7, 33, 12, 38, 23, 49, 15, 41, 18, 44, 26, 52, 17, 43)(53, 79, 55, 81, 65, 91, 71, 97, 57, 83, 60, 86, 73, 99, 77, 103, 63, 89, 54, 80, 61, 87, 68, 94, 58, 84)(56, 82, 66, 92, 59, 85, 67, 93, 69, 95, 74, 100, 72, 98, 75, 101, 78, 104, 62, 88, 76, 102, 64, 90, 70, 96)
	L = (1, 56)(2, 62)(3, 66)(4, 68)(5, 69)(6, 70)(7, 53)(8, 74)(9, 76)(10, 77)(11, 78)(12, 54)(13, 59)(14, 58)(15, 55)(16, 64)(17, 65)(18, 61)(19, 67)(20, 57)(21, 72)(22, 71)(23, 60)(24, 63)(25, 75)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.261
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2)^2, (Y2^-1, Y1^-1), Y2^-2 * Y3^-2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2^3 * Y1^2, Y2^-1 * Y1^2 * Y2^-1 * Y1, Y1 * Y3 * Y1^2 * Y3, Y1^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 13, 39, 21, 47, 6, 32, 11, 37, 15, 41, 3, 29, 9, 35, 17, 43, 20, 46, 5, 31)(4, 30, 10, 36, 22, 48, 7, 33, 12, 38, 19, 45, 24, 50, 25, 51, 14, 40, 23, 49, 26, 52, 16, 42, 18, 44)(53, 79, 55, 81, 65, 91, 72, 98, 63, 89, 54, 80, 61, 87, 73, 99, 57, 83, 67, 93, 60, 86, 69, 95, 58, 84)(56, 82, 66, 92, 59, 85, 68, 94, 76, 102, 62, 88, 75, 101, 64, 90, 70, 96, 77, 103, 74, 100, 78, 104, 71, 97)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 74)(9, 75)(10, 72)(11, 76)(12, 54)(13, 59)(14, 58)(15, 77)(16, 55)(17, 78)(18, 61)(19, 60)(20, 68)(21, 64)(22, 57)(23, 63)(24, 65)(25, 73)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.258
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y2^-2, (Y1^-1, Y2^-1), Y1 * Y2^-1 * Y1 * Y2^-2, Y1 * Y3^2 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 15, 41, 3, 29, 9, 35, 21, 47, 6, 32, 11, 37, 13, 39, 20, 46, 5, 31)(4, 30, 10, 36, 16, 42, 24, 50, 26, 52, 14, 40, 23, 49, 25, 51, 19, 45, 22, 48, 7, 33, 12, 38, 18, 44)(53, 79, 55, 81, 65, 91, 60, 86, 73, 99, 57, 83, 67, 93, 63, 89, 54, 80, 61, 87, 72, 98, 69, 95, 58, 84)(56, 82, 66, 92, 59, 85, 68, 94, 77, 103, 70, 96, 78, 104, 74, 100, 62, 88, 75, 101, 64, 90, 76, 102, 71, 97)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 68)(9, 75)(10, 67)(11, 74)(12, 54)(13, 59)(14, 58)(15, 78)(16, 55)(17, 76)(18, 60)(19, 72)(20, 64)(21, 77)(22, 57)(23, 63)(24, 61)(25, 65)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.255
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2, Y2^-1 * Y3^-2 * Y2^-1, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1^-1 * Y3^-2 * Y1 * Y2^-2, Y3 * Y1 * Y2^-2 * Y3 * Y2^-2, Y1 * Y2^-6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, (Y1^-1 * Y3^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 9, 35, 15, 41, 19, 45, 26, 52, 21, 47, 22, 48, 11, 37, 13, 39, 3, 29, 5, 31)(4, 30, 8, 34, 17, 43, 20, 46, 25, 51, 23, 49, 24, 50, 14, 40, 18, 44, 7, 33, 10, 36, 12, 38, 16, 42)(53, 79, 55, 81, 63, 89, 73, 99, 71, 97, 61, 87, 54, 80, 57, 83, 65, 91, 74, 100, 78, 104, 67, 93, 58, 84)(56, 82, 64, 90, 59, 85, 66, 92, 75, 101, 72, 98, 60, 86, 68, 94, 62, 88, 70, 96, 76, 102, 77, 103, 69, 95)
	L = (1, 56)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 71)(9, 72)(10, 54)(11, 59)(12, 58)(13, 62)(14, 55)(15, 77)(16, 61)(17, 78)(18, 57)(19, 75)(20, 73)(21, 66)(22, 70)(23, 63)(24, 65)(25, 74)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.266
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y2^2 * Y3^2, (Y1^-1, Y3^-1), (R * Y3)^2, (Y2 * Y3)^2, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y2^3 * Y1 * Y3^-1, Y1 * Y3^-2 * Y2 * Y3^-2 * Y2, Y3^-8 * Y1^-1 * Y2^-1, Y2^13, Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 3, 29, 8, 34, 11, 37, 19, 45, 21, 47, 25, 51, 24, 50, 14, 40, 17, 43, 6, 32, 5, 31)(4, 30, 9, 35, 12, 38, 18, 44, 7, 33, 10, 36, 13, 39, 20, 46, 22, 48, 23, 49, 26, 52, 16, 42, 15, 41)(53, 79, 55, 81, 63, 89, 73, 99, 76, 102, 69, 95, 57, 83, 54, 80, 60, 86, 71, 97, 77, 103, 66, 92, 58, 84)(56, 82, 64, 90, 59, 85, 65, 91, 74, 100, 78, 104, 67, 93, 61, 87, 70, 96, 62, 88, 72, 98, 75, 101, 68, 94)
	L = (1, 56)(2, 61)(3, 64)(4, 66)(5, 67)(6, 68)(7, 53)(8, 70)(9, 69)(10, 54)(11, 59)(12, 58)(13, 55)(14, 75)(15, 76)(16, 77)(17, 78)(18, 57)(19, 62)(20, 60)(21, 65)(22, 63)(23, 71)(24, 74)(25, 72)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.260
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, (Y2, Y3), (R * Y3)^2, (Y3, Y1), (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1^-2, Y3^-3 * Y2^-1 * Y3^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y3^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, (Y1 * Y2)^13, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 14, 40, 26, 52, 18, 44, 6, 32, 3, 29, 9, 35, 22, 48, 21, 47, 17, 43, 5, 31)(4, 30, 10, 36, 23, 49, 20, 46, 13, 39, 25, 51, 16, 42, 12, 38, 24, 50, 19, 45, 7, 33, 11, 37, 15, 41)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 74, 100, 66, 92, 73, 99, 78, 104, 69, 95, 70, 96, 57, 83, 58, 84)(56, 82, 64, 90, 62, 88, 76, 102, 75, 101, 71, 97, 72, 98, 59, 85, 65, 91, 63, 89, 77, 103, 67, 93, 68, 94)
	L = (1, 56)(2, 62)(3, 64)(4, 66)(5, 67)(6, 68)(7, 53)(8, 75)(9, 76)(10, 78)(11, 54)(12, 73)(13, 55)(14, 72)(15, 60)(16, 74)(17, 63)(18, 77)(19, 57)(20, 58)(21, 59)(22, 71)(23, 70)(24, 69)(25, 61)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.267
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-3, (Y1^-1, Y3), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, Y3^-2 * Y1 * Y2^2, Y3 * Y1 * Y2^-1 * Y3 * Y1, Y1 * Y2^-4, Y3 * Y2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 6, 32, 11, 37, 23, 49, 21, 47, 13, 39, 17, 43, 15, 41, 3, 29, 9, 35, 5, 31)(4, 30, 10, 36, 16, 42, 19, 45, 20, 46, 7, 33, 12, 38, 24, 50, 22, 48, 26, 52, 14, 40, 25, 51, 18, 44)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 69, 95, 75, 101, 60, 86, 57, 83, 67, 93, 73, 99, 58, 84)(56, 82, 66, 92, 76, 102, 72, 98, 62, 88, 77, 103, 74, 100, 59, 85, 68, 94, 70, 96, 78, 104, 64, 90, 71, 97)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 68)(9, 77)(10, 67)(11, 72)(12, 54)(13, 76)(14, 75)(15, 78)(16, 55)(17, 74)(18, 65)(19, 61)(20, 57)(21, 64)(22, 58)(23, 59)(24, 60)(25, 73)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.254
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1 * Y1, (Y1, Y3), (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1 * Y2^-2, Y3^4 * Y2, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y1 * Y2^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 3, 29, 9, 35, 16, 42, 13, 39, 21, 47, 23, 49, 19, 45, 6, 32, 11, 37, 5, 31)(4, 30, 10, 36, 24, 50, 14, 40, 25, 51, 22, 48, 26, 52, 20, 46, 7, 33, 12, 38, 18, 44, 15, 41, 17, 43)(53, 79, 55, 81, 65, 91, 71, 97, 57, 83, 60, 86, 68, 94, 75, 101, 63, 89, 54, 80, 61, 87, 73, 99, 58, 84)(56, 82, 66, 92, 78, 104, 64, 90, 69, 95, 76, 102, 74, 100, 59, 85, 67, 93, 62, 88, 77, 103, 72, 98, 70, 96)
	L = (1, 56)(2, 62)(3, 66)(4, 68)(5, 69)(6, 70)(7, 53)(8, 76)(9, 77)(10, 65)(11, 67)(12, 54)(13, 78)(14, 75)(15, 55)(16, 74)(17, 61)(18, 60)(19, 64)(20, 57)(21, 72)(22, 58)(23, 59)(24, 73)(25, 71)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.252
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1 * Y2^-1, Y3^2 * Y2^-1 * Y1^-1, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (Y1^-1, Y2), Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2 * Y1 * Y3 * Y2, Y2 * Y1 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 13, 39, 18, 44, 6, 32, 11, 37, 15, 41, 3, 29, 9, 35, 20, 46, 17, 43, 5, 31)(4, 30, 10, 36, 22, 48, 19, 45, 7, 33, 12, 38, 23, 49, 25, 51, 14, 40, 21, 47, 24, 50, 26, 52, 16, 42)(53, 79, 55, 81, 65, 91, 69, 95, 63, 89, 54, 80, 61, 87, 70, 96, 57, 83, 67, 93, 60, 86, 72, 98, 58, 84)(56, 82, 66, 92, 71, 97, 78, 104, 75, 101, 62, 88, 73, 99, 59, 85, 68, 94, 77, 103, 74, 100, 76, 102, 64, 90)
	L = (1, 56)(2, 62)(3, 66)(4, 61)(5, 68)(6, 64)(7, 53)(8, 74)(9, 73)(10, 72)(11, 75)(12, 54)(13, 71)(14, 70)(15, 77)(16, 55)(17, 78)(18, 59)(19, 57)(20, 76)(21, 58)(22, 69)(23, 60)(24, 63)(25, 65)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.265
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, Y3 * Y1^-1 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-3 * Y1 * Y2^-3, (Y3 * Y2^-3)^2, (Y1^-1 * Y2)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 9, 35, 15, 41, 17, 43, 23, 49, 18, 44, 20, 46, 10, 36, 12, 38, 3, 29, 5, 31)(4, 30, 8, 34, 14, 40, 16, 42, 22, 48, 24, 50, 26, 52, 25, 51, 21, 47, 19, 45, 13, 39, 11, 37, 7, 33)(53, 79, 55, 81, 62, 88, 70, 96, 69, 95, 61, 87, 54, 80, 57, 83, 64, 90, 72, 98, 75, 101, 67, 93, 58, 84)(56, 82, 63, 89, 71, 97, 77, 103, 76, 102, 68, 94, 60, 86, 59, 85, 65, 91, 73, 99, 78, 104, 74, 100, 66, 92)
	L = (1, 56)(2, 60)(3, 63)(4, 54)(5, 59)(6, 66)(7, 53)(8, 58)(9, 68)(10, 71)(11, 57)(12, 65)(13, 55)(14, 61)(15, 74)(16, 67)(17, 76)(18, 77)(19, 64)(20, 73)(21, 62)(22, 69)(23, 78)(24, 75)(25, 72)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.268
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y1 * Y3^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y2^-2 * Y3 * Y1 * Y2^2, Y1 * Y2^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 3, 29, 8, 34, 10, 36, 16, 42, 18, 44, 23, 49, 22, 48, 15, 41, 14, 40, 6, 32, 5, 31)(4, 30, 7, 33, 9, 35, 11, 37, 17, 43, 19, 45, 24, 50, 25, 51, 26, 52, 21, 47, 20, 46, 13, 39, 12, 38)(53, 79, 55, 81, 62, 88, 70, 96, 74, 100, 66, 92, 57, 83, 54, 80, 60, 86, 68, 94, 75, 101, 67, 93, 58, 84)(56, 82, 61, 87, 69, 95, 76, 102, 78, 104, 72, 98, 64, 90, 59, 85, 63, 89, 71, 97, 77, 103, 73, 99, 65, 91)
	L = (1, 56)(2, 59)(3, 61)(4, 57)(5, 64)(6, 65)(7, 53)(8, 63)(9, 54)(10, 69)(11, 55)(12, 58)(13, 66)(14, 72)(15, 73)(16, 71)(17, 60)(18, 76)(19, 62)(20, 67)(21, 74)(22, 78)(23, 77)(24, 68)(25, 70)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.250
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3 * Y2^-1, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^-1 * Y3^-2 * Y1^-2, Y2^-1 * Y3^4, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y1^-2 * Y3^-2 * Y2^-1, Y1 * Y2^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 3, 29, 9, 35, 23, 49, 13, 39, 21, 47, 16, 42, 19, 45, 6, 32, 11, 37, 5, 31)(4, 30, 10, 36, 22, 48, 14, 40, 20, 46, 7, 33, 12, 38, 24, 50, 15, 41, 25, 51, 18, 44, 26, 52, 17, 43)(53, 79, 55, 81, 65, 91, 71, 97, 57, 83, 60, 86, 75, 101, 68, 94, 63, 89, 54, 80, 61, 87, 73, 99, 58, 84)(56, 82, 66, 92, 64, 90, 77, 103, 69, 95, 74, 100, 59, 85, 67, 93, 78, 104, 62, 88, 72, 98, 76, 102, 70, 96)
	L = (1, 56)(2, 62)(3, 66)(4, 68)(5, 69)(6, 70)(7, 53)(8, 74)(9, 72)(10, 71)(11, 78)(12, 54)(13, 64)(14, 63)(15, 55)(16, 67)(17, 73)(18, 75)(19, 77)(20, 57)(21, 76)(22, 58)(23, 59)(24, 60)(25, 61)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.257
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2 * Y3, Y3^2 * Y1^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y2 * Y1^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1, Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, (Y3^-1 * Y1^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 14, 40, 3, 29, 9, 35, 19, 45, 6, 32, 11, 37, 13, 39, 18, 44, 5, 31)(4, 30, 10, 36, 22, 48, 20, 46, 7, 33, 12, 38, 23, 49, 26, 52, 17, 43, 15, 41, 24, 50, 25, 51, 16, 42)(53, 79, 55, 81, 65, 91, 60, 86, 71, 97, 57, 83, 66, 92, 63, 89, 54, 80, 61, 87, 70, 96, 73, 99, 58, 84)(56, 82, 64, 90, 76, 102, 74, 100, 78, 104, 68, 94, 59, 85, 67, 93, 62, 88, 75, 101, 77, 103, 72, 98, 69, 95)
	L = (1, 56)(2, 62)(3, 64)(4, 63)(5, 68)(6, 69)(7, 53)(8, 74)(9, 75)(10, 65)(11, 67)(12, 54)(13, 76)(14, 59)(15, 55)(16, 58)(17, 66)(18, 77)(19, 78)(20, 57)(21, 72)(22, 70)(23, 60)(24, 61)(25, 71)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.256
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, Y3^2 * Y1, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^6 * Y1^-1, (Y2^-1 * Y1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 8, 34, 14, 40, 16, 42, 22, 48, 18, 44, 20, 46, 10, 36, 12, 38, 3, 29, 5, 31)(4, 30, 7, 33, 9, 35, 15, 41, 17, 43, 23, 49, 24, 50, 25, 51, 26, 52, 19, 45, 21, 47, 11, 37, 13, 39)(53, 79, 55, 81, 62, 88, 70, 96, 68, 94, 60, 86, 54, 80, 57, 83, 64, 90, 72, 98, 74, 100, 66, 92, 58, 84)(56, 82, 63, 89, 71, 97, 77, 103, 75, 101, 67, 93, 59, 85, 65, 91, 73, 99, 78, 104, 76, 102, 69, 95, 61, 87)
	L = (1, 56)(2, 59)(3, 63)(4, 57)(5, 65)(6, 61)(7, 53)(8, 67)(9, 54)(10, 71)(11, 64)(12, 73)(13, 55)(14, 69)(15, 58)(16, 75)(17, 60)(18, 77)(19, 72)(20, 78)(21, 62)(22, 76)(23, 66)(24, 68)(25, 74)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.249
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, Y1 * Y2^-3, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2, Y1^-1 * Y2^-1 * Y1^-3, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 6, 32, 10, 36, 20, 46, 25, 51, 13, 39, 3, 29, 9, 35, 17, 43, 5, 31)(4, 30, 7, 33, 11, 37, 21, 47, 16, 42, 19, 45, 23, 49, 26, 52, 24, 50, 12, 38, 14, 40, 22, 48, 15, 41)(53, 79, 55, 81, 62, 88, 54, 80, 61, 87, 72, 98, 60, 86, 69, 95, 77, 103, 70, 96, 57, 83, 65, 91, 58, 84)(56, 82, 64, 90, 71, 97, 59, 85, 66, 92, 75, 101, 63, 89, 74, 100, 78, 104, 73, 99, 67, 93, 76, 102, 68, 94)
	L = (1, 56)(2, 59)(3, 64)(4, 57)(5, 67)(6, 68)(7, 53)(8, 63)(9, 66)(10, 71)(11, 54)(12, 65)(13, 76)(14, 55)(15, 69)(16, 70)(17, 74)(18, 73)(19, 58)(20, 75)(21, 60)(22, 61)(23, 62)(24, 77)(25, 78)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.253
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1^-1 * Y3^2 * Y2^-1, (Y3, Y2^-1), Y3^-2 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^5 * Y3^2, (Y3^-1 * Y1^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 23, 49, 15, 41, 6, 32, 3, 29, 9, 35, 19, 45, 22, 48, 14, 40, 5, 31)(4, 30, 10, 36, 20, 46, 24, 50, 16, 42, 7, 33, 11, 37, 12, 38, 21, 47, 26, 52, 25, 51, 17, 43, 13, 39)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 71, 97, 70, 96, 74, 100, 75, 101, 66, 92, 67, 93, 57, 83, 58, 84)(56, 82, 64, 90, 62, 88, 73, 99, 72, 98, 78, 104, 76, 102, 77, 103, 68, 94, 69, 95, 59, 85, 65, 91, 63, 89)
	L = (1, 56)(2, 62)(3, 64)(4, 61)(5, 65)(6, 63)(7, 53)(8, 72)(9, 73)(10, 71)(11, 54)(12, 60)(13, 55)(14, 69)(15, 59)(16, 57)(17, 58)(18, 76)(19, 78)(20, 74)(21, 70)(22, 77)(23, 68)(24, 66)(25, 67)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.259
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y3^-2 * Y1 * Y2^-1, Y3^-2 * Y2^-1 * Y1, Y1^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1^-2 * Y2^-1 * Y1^-1, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y3^2 * Y2^-3, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-2, Y2^-1 * Y1 * Y3^4 * Y1, Y3 * Y1^2 * Y2^-1 * Y3 * Y1 * Y2^-1, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 6, 32, 11, 37, 21, 47, 19, 45, 13, 39, 23, 49, 14, 40, 3, 29, 9, 35, 5, 31)(4, 30, 10, 36, 20, 46, 17, 43, 25, 51, 26, 52, 15, 41, 24, 50, 18, 44, 7, 33, 12, 38, 22, 48, 16, 42)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 75, 101, 73, 99, 60, 86, 57, 83, 66, 92, 71, 97, 58, 84)(56, 82, 64, 90, 76, 102, 77, 103, 62, 88, 74, 100, 70, 96, 78, 104, 72, 98, 68, 94, 59, 85, 67, 93, 69, 95)
	L = (1, 56)(2, 62)(3, 64)(4, 63)(5, 68)(6, 69)(7, 53)(8, 72)(9, 74)(10, 73)(11, 77)(12, 54)(13, 76)(14, 59)(15, 55)(16, 58)(17, 65)(18, 57)(19, 67)(20, 71)(21, 78)(22, 60)(23, 70)(24, 61)(25, 75)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.262
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^2 * Y1^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^4 * Y1^9, Y1 * Y2^12, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 11, 37, 15, 41, 19, 45, 23, 49, 25, 51, 21, 47, 17, 43, 13, 39, 9, 35, 4, 30)(3, 29, 7, 33, 12, 38, 16, 42, 20, 46, 24, 50, 26, 52, 22, 48, 18, 44, 14, 40, 10, 36, 5, 31, 8, 34)(53, 79, 55, 81, 58, 84, 64, 90, 67, 93, 72, 98, 75, 101, 78, 104, 73, 99, 70, 96, 65, 91, 62, 88, 56, 82, 60, 86, 54, 80, 59, 85, 63, 89, 68, 94, 71, 97, 76, 102, 77, 103, 74, 100, 69, 95, 66, 92, 61, 87, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^2 * Y1^2, Y2^-2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^4 * Y2^-1 * Y1^2 * Y2^-5 * Y1, Y1^13, Y1^-1 * Y2^12, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 11, 37, 15, 41, 19, 45, 23, 49, 25, 51, 22, 48, 17, 43, 14, 40, 9, 35, 4, 30)(3, 29, 7, 33, 5, 31, 8, 34, 12, 38, 16, 42, 20, 46, 24, 50, 26, 52, 21, 47, 18, 44, 13, 39, 10, 36)(53, 79, 55, 81, 61, 87, 65, 91, 69, 95, 73, 99, 77, 103, 76, 102, 71, 97, 68, 94, 63, 89, 60, 86, 54, 80, 59, 85, 56, 82, 62, 88, 66, 92, 70, 96, 74, 100, 78, 104, 75, 101, 72, 98, 67, 93, 64, 90, 58, 84, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^13, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 10, 36, 14, 40, 18, 44, 22, 48, 24, 50, 20, 46, 16, 42, 12, 38, 8, 34, 4, 30)(3, 29, 7, 33, 11, 37, 15, 41, 19, 45, 23, 49, 26, 52, 25, 51, 21, 47, 17, 43, 13, 39, 9, 35, 5, 31)(53, 79, 55, 81, 54, 80, 59, 85, 58, 84, 63, 89, 62, 88, 67, 93, 66, 92, 71, 97, 70, 96, 75, 101, 74, 100, 78, 104, 76, 102, 77, 103, 72, 98, 73, 99, 68, 94, 69, 95, 64, 90, 65, 91, 60, 86, 61, 87, 56, 82, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^13, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 10, 36, 14, 40, 18, 44, 22, 48, 25, 51, 21, 47, 17, 43, 13, 39, 9, 35, 4, 30)(3, 29, 5, 31, 7, 33, 11, 37, 15, 41, 19, 45, 23, 49, 26, 52, 24, 50, 20, 46, 16, 42, 12, 38, 8, 34)(53, 79, 55, 81, 56, 82, 60, 86, 61, 87, 64, 90, 65, 91, 68, 94, 69, 95, 72, 98, 73, 99, 76, 102, 77, 103, 78, 104, 74, 100, 75, 101, 70, 96, 71, 97, 66, 92, 67, 93, 62, 88, 63, 89, 58, 84, 59, 85, 54, 80, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^4 * Y2^-1 * Y1, Y1^2 * Y2 * Y1 * Y2^3, Y2^2 * Y1^-1 * Y2^4 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 14, 40, 20, 46, 9, 35, 17, 43, 24, 50, 13, 39, 18, 44, 22, 48, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 25, 51, 26, 52, 19, 45, 23, 49, 12, 38, 5, 31, 8, 34, 16, 42, 21, 47, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 74, 100, 68, 94, 58, 84, 67, 93, 76, 102, 64, 90, 56, 82, 62, 88, 72, 98, 78, 104, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 75, 101, 63, 89, 73, 99, 66, 92, 77, 103, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-4 * Y1^3, Y2^2 * Y1^5, Y2^2 * Y1^18, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 14, 40, 24, 50, 13, 39, 18, 44, 20, 46, 9, 35, 17, 43, 22, 48, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 12, 38, 5, 31, 8, 34, 16, 42, 19, 45, 26, 52, 25, 51, 21, 47, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 66, 92, 75, 101, 63, 89, 73, 99, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 78, 104, 76, 102, 64, 90, 56, 82, 62, 88, 72, 98, 68, 94, 58, 84, 67, 93, 74, 100, 77, 103, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (Y2, Y1), (R * Y3)^2, Y2^-4 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^5 * Y2, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 14, 40, 22, 48, 21, 47, 13, 39, 9, 35, 17, 43, 25, 51, 19, 45, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 20, 46, 12, 38, 5, 31, 8, 34, 16, 42, 24, 50, 26, 52, 18, 44, 10, 36)(53, 79, 55, 81, 61, 87, 60, 86, 54, 80, 59, 85, 69, 95, 68, 94, 58, 84, 67, 93, 77, 103, 76, 102, 66, 92, 75, 101, 71, 97, 78, 104, 74, 100, 72, 98, 63, 89, 70, 96, 73, 99, 64, 90, 56, 82, 62, 88, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^3, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^4, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 14, 40, 22, 48, 18, 44, 9, 35, 13, 39, 17, 43, 25, 51, 20, 46, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 26, 52, 21, 47, 12, 38, 5, 31, 8, 34, 16, 42, 24, 50, 19, 45, 10, 36)(53, 79, 55, 81, 61, 87, 64, 90, 56, 82, 62, 88, 70, 96, 73, 99, 63, 89, 71, 97, 74, 100, 78, 104, 72, 98, 76, 102, 66, 92, 75, 101, 77, 103, 68, 94, 58, 84, 67, 93, 69, 95, 60, 86, 54, 80, 59, 85, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|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^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^7, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 9, 35, 15, 41, 20, 46, 22, 48, 25, 51, 23, 49, 18, 44, 13, 39, 11, 37, 4, 30)(3, 29, 7, 33, 14, 40, 16, 42, 21, 47, 26, 52, 24, 50, 19, 45, 17, 43, 12, 38, 5, 31, 8, 34, 10, 36)(53, 79, 55, 81, 61, 87, 68, 94, 74, 100, 76, 102, 70, 96, 64, 90, 56, 82, 62, 88, 58, 84, 66, 92, 72, 98, 78, 104, 75, 101, 69, 95, 63, 89, 60, 86, 54, 80, 59, 85, 67, 93, 73, 99, 77, 103, 71, 97, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1 * Y2 * Y1^2 * Y2, (R * Y2 * Y3^-1)^2, Y2^-8 * Y1, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 13, 39, 15, 41, 20, 46, 25, 51, 22, 48, 24, 50, 17, 43, 9, 35, 11, 37, 4, 30)(3, 29, 7, 33, 12, 38, 5, 31, 8, 34, 14, 40, 19, 45, 21, 47, 26, 52, 23, 49, 16, 42, 18, 44, 10, 36)(53, 79, 55, 81, 61, 87, 68, 94, 74, 100, 73, 99, 67, 93, 60, 86, 54, 80, 59, 85, 63, 89, 70, 96, 76, 102, 78, 104, 72, 98, 66, 92, 58, 84, 64, 90, 56, 82, 62, 88, 69, 95, 75, 101, 77, 103, 71, 97, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-6 * Y1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 14, 40, 13, 39, 18, 44, 24, 50, 26, 52, 20, 46, 9, 35, 17, 43, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 12, 38, 5, 31, 8, 34, 16, 42, 23, 49, 22, 48, 19, 45, 25, 51, 21, 47, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 77, 103, 76, 102, 68, 94, 58, 84, 67, 93, 63, 89, 73, 99, 78, 104, 75, 101, 66, 92, 64, 90, 56, 82, 62, 88, 72, 98, 74, 100, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-3, Y2 * Y1 * Y2^5, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28, 6, 32, 14, 40, 9, 35, 17, 43, 24, 50, 26, 52, 21, 47, 13, 39, 18, 44, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 19, 45, 22, 48, 25, 51, 20, 46, 12, 38, 5, 31, 8, 34, 16, 42, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 73, 99, 64, 90, 56, 82, 62, 88, 66, 92, 75, 101, 78, 104, 72, 98, 63, 89, 68, 94, 58, 84, 67, 93, 76, 102, 77, 103, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 74, 100, 65, 91, 57, 83)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6 * Y3 * Y2^-6, Y1^13, Y2^26, (Y2^-1 * Y1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 11, 37, 15, 41, 19, 45, 23, 49, 25, 51, 22, 48, 17, 43, 14, 40, 9, 35, 4, 30)(3, 29, 7, 33, 5, 31, 8, 34, 12, 38, 16, 42, 20, 46, 24, 50, 26, 52, 21, 47, 18, 44, 13, 39, 10, 36)(53, 79, 55, 81, 61, 87, 65, 91, 69, 95, 73, 99, 77, 103, 76, 102, 71, 97, 68, 94, 63, 89, 60, 86, 54, 80, 59, 85, 56, 82, 62, 88, 66, 92, 70, 96, 74, 100, 78, 104, 75, 101, 72, 98, 67, 93, 64, 90, 58, 84, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 63)(7, 57)(8, 64)(9, 56)(10, 55)(11, 67)(12, 68)(13, 62)(14, 61)(15, 71)(16, 72)(17, 66)(18, 65)(19, 75)(20, 76)(21, 70)(22, 69)(23, 77)(24, 78)(25, 74)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.234
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y1^-1 * Y2^2, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2), (R * Y1)^2, Y3 * Y1^-6, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 21, 47, 13, 39, 4, 30, 7, 33, 10, 36, 19, 45, 23, 49, 15, 41, 5, 31)(3, 29, 9, 35, 18, 44, 25, 51, 22, 48, 14, 40, 11, 37, 12, 38, 20, 46, 26, 52, 24, 50, 16, 42, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 70, 96, 69, 95, 77, 103, 73, 99, 74, 100, 65, 91, 66, 92, 56, 82, 63, 89, 59, 85, 64, 90, 62, 88, 72, 98, 71, 97, 78, 104, 75, 101, 76, 102, 67, 93, 68, 94, 57, 83, 58, 84)
	L = (1, 56)(2, 59)(3, 63)(4, 57)(5, 65)(6, 66)(7, 53)(8, 62)(9, 64)(10, 54)(11, 58)(12, 55)(13, 67)(14, 68)(15, 73)(16, 74)(17, 71)(18, 72)(19, 60)(20, 61)(21, 75)(22, 76)(23, 69)(24, 77)(25, 78)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.243
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y2 * Y1 * Y2, (R * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2 * Y1^3, Y1^-4 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^13, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 24, 50, 16, 42, 7, 33, 4, 30, 9, 35, 18, 44, 23, 49, 15, 41, 5, 31)(3, 29, 6, 32, 10, 36, 19, 45, 25, 51, 22, 48, 13, 39, 11, 37, 14, 40, 20, 46, 26, 52, 21, 47, 12, 38)(53, 79, 55, 81, 57, 83, 64, 90, 67, 93, 73, 99, 75, 101, 78, 104, 70, 96, 72, 98, 61, 87, 66, 92, 56, 82, 63, 89, 59, 85, 65, 91, 68, 94, 74, 100, 76, 102, 77, 103, 69, 95, 71, 97, 60, 86, 62, 88, 54, 80, 58, 84)
	L = (1, 56)(2, 61)(3, 63)(4, 54)(5, 59)(6, 66)(7, 53)(8, 70)(9, 60)(10, 72)(11, 58)(12, 65)(13, 55)(14, 62)(15, 68)(16, 57)(17, 75)(18, 69)(19, 78)(20, 71)(21, 74)(22, 64)(23, 76)(24, 67)(25, 73)(26, 77)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.241
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y3 * Y1 * Y2^-2, (R * Y2)^2, Y1^-1 * Y2 * Y3^-1 * Y2, Y1^-1 * Y3^-3, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y1^4, Y2^20 * Y1^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 4, 30, 10, 36, 20, 46, 25, 51, 15, 41, 7, 33, 12, 38, 17, 43, 5, 31)(3, 29, 9, 35, 19, 45, 23, 49, 13, 39, 22, 48, 26, 52, 18, 44, 6, 32, 11, 37, 21, 47, 24, 50, 14, 40)(53, 79, 55, 81, 62, 88, 74, 100, 64, 90, 73, 99, 60, 86, 71, 97, 77, 103, 70, 96, 57, 83, 66, 92, 56, 82, 65, 91, 59, 85, 63, 89, 54, 80, 61, 87, 72, 98, 78, 104, 69, 95, 76, 102, 68, 94, 75, 101, 67, 93, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 66)(7, 53)(8, 72)(9, 74)(10, 59)(11, 55)(12, 54)(13, 58)(14, 75)(15, 57)(16, 77)(17, 60)(18, 76)(19, 78)(20, 64)(21, 61)(22, 63)(23, 70)(24, 71)(25, 69)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.233
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-3 * Y1, Y1^-1 * Y3 * Y2^-2, Y3 * Y1^-1 * Y2^-2, Y3^-1 * Y2 * Y1 * Y2, (Y2^-1 * Y3^-1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3 * Y1^4, Y1^2 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y2^24 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 7, 33, 12, 38, 21, 47, 24, 50, 13, 39, 4, 30, 10, 36, 17, 43, 5, 31)(3, 29, 9, 35, 19, 45, 26, 52, 16, 42, 6, 32, 11, 37, 20, 46, 23, 49, 14, 40, 22, 48, 25, 51, 15, 41)(53, 79, 55, 81, 65, 91, 75, 101, 70, 96, 78, 104, 69, 95, 77, 103, 73, 99, 63, 89, 54, 80, 61, 87, 56, 82, 66, 92, 59, 85, 68, 94, 57, 83, 67, 93, 76, 102, 72, 98, 60, 86, 71, 97, 62, 88, 74, 100, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 64)(5, 65)(6, 61)(7, 53)(8, 69)(9, 74)(10, 73)(11, 71)(12, 54)(13, 59)(14, 58)(15, 75)(16, 55)(17, 76)(18, 57)(19, 77)(20, 78)(21, 60)(22, 63)(23, 68)(24, 70)(25, 72)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.236
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, (Y2^-1 * Y3^-1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1), (R * Y2)^2, Y2^2 * Y3^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3 * Y1 * Y3^3, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 22, 48, 17, 43, 13, 39, 24, 50, 20, 46, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 21, 47, 14, 40, 25, 51, 19, 45, 6, 32, 11, 37, 23, 49, 18, 44, 16, 42, 26, 52, 15, 41)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 76, 102, 75, 101, 60, 86, 73, 99, 72, 98, 70, 96, 56, 82, 66, 92, 59, 85, 68, 94, 62, 88, 77, 103, 64, 90, 78, 104, 74, 100, 71, 97, 57, 83, 67, 93, 69, 95, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 60)(6, 70)(7, 53)(8, 74)(9, 77)(10, 65)(11, 68)(12, 54)(13, 59)(14, 58)(15, 73)(16, 55)(17, 72)(18, 67)(19, 75)(20, 57)(21, 71)(22, 76)(23, 78)(24, 64)(25, 63)(26, 61)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.242
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (Y3^-1, Y2^-1), Y1^3 * Y3, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y1)^2, Y2^2 * Y3^2, (Y2^-1, Y1^-1), Y1 * Y2^2 * Y3^-2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 23, 49, 13, 39, 17, 43, 25, 51, 18, 44, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 21, 47, 16, 42, 19, 45, 26, 52, 20, 46, 6, 32, 11, 37, 22, 48, 14, 40, 24, 50, 15, 41)(53, 79, 55, 81, 65, 91, 72, 98, 57, 83, 67, 93, 75, 101, 78, 104, 62, 88, 76, 102, 64, 90, 71, 97, 56, 82, 66, 92, 59, 85, 68, 94, 70, 96, 74, 100, 60, 86, 73, 99, 77, 103, 63, 89, 54, 80, 61, 87, 69, 95, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 57)(9, 76)(10, 77)(11, 78)(12, 54)(13, 59)(14, 58)(15, 74)(16, 55)(17, 64)(18, 65)(19, 61)(20, 68)(21, 67)(22, 72)(23, 60)(24, 63)(25, 75)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.239
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y1^-1, Y2^-1), Y2^-2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y2^-1 * Y1^2 * Y2^-1, Y1 * Y3 * Y1^2 * Y3, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 13, 39, 18, 44, 4, 30, 10, 36, 22, 48, 7, 33, 12, 38, 17, 43, 20, 46, 5, 31)(3, 29, 9, 35, 19, 45, 24, 50, 25, 51, 14, 40, 23, 49, 26, 52, 16, 42, 21, 47, 6, 32, 11, 37, 15, 41)(53, 79, 55, 81, 65, 91, 76, 102, 62, 88, 75, 101, 64, 90, 73, 99, 57, 83, 67, 93, 60, 86, 71, 97, 56, 82, 66, 92, 59, 85, 68, 94, 72, 98, 63, 89, 54, 80, 61, 87, 70, 96, 77, 103, 74, 100, 78, 104, 69, 95, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 74)(9, 75)(10, 72)(11, 76)(12, 54)(13, 59)(14, 58)(15, 77)(16, 55)(17, 60)(18, 64)(19, 78)(20, 65)(21, 61)(22, 57)(23, 63)(24, 68)(25, 73)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.235
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3^-1)^2, (Y2, Y3^-1), (Y3^-1, Y1^-1), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2^-2 * Y1, Y2 * Y1 * Y2 * Y1^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 22, 48, 7, 33, 12, 38, 18, 44, 4, 30, 10, 36, 13, 39, 20, 46, 5, 31)(3, 29, 9, 35, 21, 47, 6, 32, 11, 37, 16, 42, 24, 50, 26, 52, 14, 40, 23, 49, 25, 51, 19, 45, 15, 41)(53, 79, 55, 81, 65, 91, 77, 103, 70, 96, 78, 104, 74, 100, 63, 89, 54, 80, 61, 87, 72, 98, 71, 97, 56, 82, 66, 92, 59, 85, 68, 94, 60, 86, 73, 99, 57, 83, 67, 93, 62, 88, 75, 101, 64, 90, 76, 102, 69, 95, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 65)(9, 75)(10, 74)(11, 67)(12, 54)(13, 59)(14, 58)(15, 78)(16, 55)(17, 72)(18, 60)(19, 76)(20, 64)(21, 77)(22, 57)(23, 63)(24, 61)(25, 68)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.238
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y2^-2 * Y3^-2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y2, Y3), Y1 * Y3^6, Y1 * Y2^-2 * Y3 * Y2^-2 * Y3, Y2^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 15, 41, 19, 45, 25, 51, 23, 49, 22, 48, 11, 37, 18, 44, 7, 33, 5, 31)(3, 29, 8, 34, 12, 38, 17, 43, 6, 32, 10, 36, 16, 42, 20, 46, 26, 52, 21, 47, 24, 50, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 73, 99, 71, 97, 62, 88, 54, 80, 60, 86, 70, 96, 76, 102, 77, 103, 68, 94, 56, 82, 64, 90, 59, 85, 66, 92, 75, 101, 72, 98, 61, 87, 69, 95, 57, 83, 65, 91, 74, 100, 78, 104, 67, 93, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 54)(6, 68)(7, 53)(8, 69)(9, 71)(10, 72)(11, 59)(12, 58)(13, 60)(14, 55)(15, 77)(16, 78)(17, 62)(18, 57)(19, 75)(20, 73)(21, 66)(22, 70)(23, 63)(24, 65)(25, 74)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.240
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^-2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y3^-2 * Y2^-1 * Y3^2, Y3^-2 * Y2^2 * Y1 * Y3^-2, Y2^6 * Y1, Y2^-2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^3, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 11, 37, 19, 45, 22, 48, 23, 49, 24, 50, 15, 41, 16, 42, 4, 30, 5, 31)(3, 29, 8, 34, 14, 40, 20, 46, 21, 47, 25, 51, 26, 52, 17, 43, 18, 44, 6, 32, 9, 35, 12, 38, 13, 39)(53, 79, 55, 81, 63, 89, 73, 99, 76, 102, 70, 96, 57, 83, 65, 91, 62, 88, 72, 98, 75, 101, 69, 95, 56, 82, 64, 90, 59, 85, 66, 92, 74, 100, 78, 104, 68, 94, 61, 87, 54, 80, 60, 86, 71, 97, 77, 103, 67, 93, 58, 84)
	L = (1, 56)(2, 57)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 65)(9, 70)(10, 54)(11, 59)(12, 58)(13, 61)(14, 55)(15, 75)(16, 76)(17, 77)(18, 78)(19, 62)(20, 60)(21, 66)(22, 63)(23, 71)(24, 74)(25, 72)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.237
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-2, Y2^-2 * Y3, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3^6, Y1^-1 * Y3^-2 * Y2^-1 * Y3^-3 * Y2^-1, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 12, 38, 18, 44, 20, 46, 24, 50, 22, 48, 16, 42, 14, 40, 7, 33, 5, 31)(3, 29, 8, 34, 11, 37, 17, 43, 19, 45, 25, 51, 26, 52, 23, 49, 21, 47, 15, 41, 13, 39, 6, 32, 10, 36)(53, 79, 55, 81, 56, 82, 63, 89, 64, 90, 71, 97, 72, 98, 78, 104, 74, 100, 73, 99, 66, 92, 65, 91, 57, 83, 62, 88, 54, 80, 60, 86, 61, 87, 69, 95, 70, 96, 77, 103, 76, 102, 75, 101, 68, 94, 67, 93, 59, 85, 58, 84)
	L = (1, 56)(2, 61)(3, 63)(4, 64)(5, 54)(6, 55)(7, 53)(8, 69)(9, 70)(10, 60)(11, 71)(12, 72)(13, 62)(14, 57)(15, 58)(16, 59)(17, 77)(18, 76)(19, 78)(20, 74)(21, 65)(22, 66)(23, 67)(24, 68)(25, 75)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.138
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y2^-2 * Y3, (Y1^-1 * Y2^-1)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-6 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 16, 42, 18, 44, 24, 50, 21, 47, 22, 48, 13, 39, 14, 40, 4, 30, 5, 31)(3, 29, 8, 34, 6, 32, 9, 35, 15, 41, 17, 43, 23, 49, 25, 51, 26, 52, 19, 45, 20, 46, 11, 37, 12, 38)(53, 79, 55, 81, 56, 82, 63, 89, 65, 91, 71, 97, 73, 99, 77, 103, 70, 96, 69, 95, 62, 88, 61, 87, 54, 80, 60, 86, 57, 83, 64, 90, 66, 92, 72, 98, 74, 100, 78, 104, 76, 102, 75, 101, 68, 94, 67, 93, 59, 85, 58, 84)
	L = (1, 56)(2, 57)(3, 63)(4, 65)(5, 66)(6, 55)(7, 53)(8, 64)(9, 60)(10, 54)(11, 71)(12, 72)(13, 73)(14, 74)(15, 58)(16, 59)(17, 61)(18, 62)(19, 77)(20, 78)(21, 70)(22, 76)(23, 67)(24, 68)(25, 69)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^-1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^13, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 10, 36, 14, 40, 18, 44, 22, 48, 24, 50, 20, 46, 16, 42, 12, 38, 8, 34, 4, 30)(3, 29, 7, 33, 11, 37, 15, 41, 19, 45, 23, 49, 26, 52, 25, 51, 21, 47, 17, 43, 13, 39, 9, 35, 5, 31)(53, 79, 55, 81, 54, 80, 59, 85, 58, 84, 63, 89, 62, 88, 67, 93, 66, 92, 71, 97, 70, 96, 75, 101, 74, 100, 78, 104, 76, 102, 77, 103, 72, 98, 73, 99, 68, 94, 69, 95, 64, 90, 65, 91, 60, 86, 61, 87, 56, 82, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 55)(6, 62)(7, 63)(8, 56)(9, 57)(10, 66)(11, 67)(12, 60)(13, 61)(14, 70)(15, 71)(16, 64)(17, 65)(18, 74)(19, 75)(20, 68)(21, 69)(22, 76)(23, 78)(24, 72)(25, 73)(26, 77)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.140
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, Y2 * Y3^-1 * Y2, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, (Y1, Y3), (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y3^-2 * Y1^-3, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 16, 42, 4, 30, 10, 36, 19, 45, 7, 33, 12, 38, 15, 41, 17, 43, 5, 31)(3, 29, 9, 35, 22, 48, 20, 46, 25, 51, 13, 39, 24, 50, 18, 44, 6, 32, 11, 37, 23, 49, 26, 52, 14, 40)(53, 79, 55, 81, 56, 82, 65, 91, 67, 93, 75, 101, 60, 86, 74, 100, 71, 97, 70, 96, 57, 83, 66, 92, 68, 94, 77, 103, 64, 90, 63, 89, 54, 80, 61, 87, 62, 88, 76, 102, 69, 95, 78, 104, 73, 99, 72, 98, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 55)(7, 53)(8, 71)(9, 76)(10, 69)(11, 61)(12, 54)(13, 75)(14, 77)(15, 60)(16, 64)(17, 73)(18, 66)(19, 57)(20, 58)(21, 59)(22, 70)(23, 74)(24, 78)(25, 63)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.142
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y2^-1, Y1), (R * Y2)^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^2 * Y1^-2, Y3 * Y1^2 * Y3^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 19, 45, 7, 33, 12, 38, 16, 42, 4, 30, 10, 36, 21, 47, 17, 43, 5, 31)(3, 29, 9, 35, 22, 48, 26, 52, 18, 44, 6, 32, 11, 37, 23, 49, 13, 39, 24, 50, 20, 46, 25, 51, 14, 40)(53, 79, 55, 81, 56, 82, 65, 91, 67, 93, 78, 104, 69, 95, 77, 103, 64, 90, 63, 89, 54, 80, 61, 87, 62, 88, 76, 102, 71, 97, 70, 96, 57, 83, 66, 92, 68, 94, 75, 101, 60, 86, 74, 100, 73, 99, 72, 98, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 55)(7, 53)(8, 73)(9, 76)(10, 71)(11, 61)(12, 54)(13, 78)(14, 75)(15, 69)(16, 60)(17, 64)(18, 66)(19, 57)(20, 58)(21, 59)(22, 72)(23, 74)(24, 70)(25, 63)(26, 77)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.134
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2^-2 * Y3, (Y2, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^6 * Y3, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 23, 49, 15, 41, 7, 33, 4, 30, 10, 36, 18, 44, 21, 47, 13, 39, 5, 31)(3, 29, 9, 35, 17, 43, 24, 50, 22, 48, 14, 40, 6, 32, 11, 37, 19, 45, 25, 51, 26, 52, 20, 46, 12, 38)(53, 79, 55, 81, 56, 82, 63, 89, 54, 80, 61, 87, 62, 88, 71, 97, 60, 86, 69, 95, 70, 96, 77, 103, 68, 94, 76, 102, 73, 99, 78, 104, 75, 101, 74, 100, 65, 91, 72, 98, 67, 93, 66, 92, 57, 83, 64, 90, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 54)(5, 59)(6, 55)(7, 53)(8, 70)(9, 71)(10, 60)(11, 61)(12, 58)(13, 67)(14, 64)(15, 57)(16, 73)(17, 77)(18, 68)(19, 69)(20, 66)(21, 75)(22, 72)(23, 65)(24, 78)(25, 76)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.144
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y2^-2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2)^2, Y2 * Y1^-2 * Y2 * Y3^-1 * Y1^2, Y1^-3 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 22, 48, 14, 40, 4, 30, 7, 33, 11, 37, 19, 45, 23, 49, 15, 41, 5, 31)(3, 29, 9, 35, 17, 43, 24, 50, 26, 52, 20, 46, 12, 38, 6, 32, 10, 36, 18, 44, 25, 51, 21, 47, 13, 39)(53, 79, 55, 81, 56, 82, 64, 90, 57, 83, 65, 91, 66, 92, 72, 98, 67, 93, 73, 99, 74, 100, 78, 104, 75, 101, 77, 103, 68, 94, 76, 102, 71, 97, 70, 96, 60, 86, 69, 95, 63, 89, 62, 88, 54, 80, 61, 87, 59, 85, 58, 84)
	L = (1, 56)(2, 59)(3, 64)(4, 57)(5, 66)(6, 55)(7, 53)(8, 63)(9, 58)(10, 61)(11, 54)(12, 65)(13, 72)(14, 67)(15, 74)(16, 71)(17, 62)(18, 69)(19, 60)(20, 73)(21, 78)(22, 75)(23, 68)(24, 70)(25, 76)(26, 77)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.136
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3 * Y1^-3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1), (Y3^-1, Y1^-1), Y1^-1 * Y2 * Y1^-2 * Y2, Y1^-1 * Y3^-4, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 21, 47, 15, 41, 19, 45, 24, 50, 17, 43, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 20, 46, 13, 39, 22, 48, 26, 52, 25, 51, 18, 44, 23, 49, 16, 42, 6, 32, 11, 37, 14, 40)(53, 79, 55, 81, 56, 82, 65, 91, 67, 93, 77, 103, 69, 95, 68, 94, 57, 83, 66, 92, 60, 86, 72, 98, 73, 99, 78, 104, 76, 102, 75, 101, 64, 90, 63, 89, 54, 80, 61, 87, 62, 88, 74, 100, 71, 97, 70, 96, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 60)(6, 55)(7, 53)(8, 73)(9, 74)(10, 71)(11, 61)(12, 54)(13, 77)(14, 72)(15, 69)(16, 66)(17, 57)(18, 58)(19, 59)(20, 78)(21, 76)(22, 70)(23, 63)(24, 64)(25, 68)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.143
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^-3 * Y3^-1, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2, Y2 * Y1^2 * Y2 * Y1, Y3^-2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 21, 47, 19, 45, 15, 41, 23, 49, 16, 42, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 17, 43, 6, 32, 11, 37, 20, 46, 18, 44, 24, 50, 26, 52, 25, 51, 13, 39, 22, 48, 14, 40)(53, 79, 55, 81, 56, 82, 65, 91, 67, 93, 76, 102, 64, 90, 63, 89, 54, 80, 61, 87, 62, 88, 74, 100, 75, 101, 78, 104, 73, 99, 72, 98, 60, 86, 69, 95, 57, 83, 66, 92, 68, 94, 77, 103, 71, 97, 70, 96, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 55)(7, 53)(8, 57)(9, 74)(10, 75)(11, 61)(12, 54)(13, 76)(14, 77)(15, 64)(16, 71)(17, 66)(18, 58)(19, 59)(20, 69)(21, 60)(22, 78)(23, 73)(24, 63)(25, 70)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.137
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^-1 * Y3^3, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1), Y1^-1 * Y3 * Y2 * Y3 * Y2, Y1^-1 * Y3^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 7, 33, 12, 38, 22, 48, 25, 51, 15, 41, 4, 30, 10, 36, 16, 42, 5, 31)(3, 29, 9, 35, 20, 46, 17, 43, 6, 32, 11, 37, 21, 47, 26, 52, 19, 45, 13, 39, 23, 49, 24, 50, 14, 40)(53, 79, 55, 81, 56, 82, 65, 91, 64, 90, 63, 89, 54, 80, 61, 87, 62, 88, 75, 101, 74, 100, 73, 99, 60, 86, 72, 98, 68, 94, 76, 102, 77, 103, 78, 104, 70, 96, 69, 95, 57, 83, 66, 92, 67, 93, 71, 97, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 64)(5, 67)(6, 55)(7, 53)(8, 68)(9, 75)(10, 74)(11, 61)(12, 54)(13, 63)(14, 71)(15, 59)(16, 77)(17, 66)(18, 57)(19, 58)(20, 76)(21, 72)(22, 60)(23, 73)(24, 78)(25, 70)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.141
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^-1 * Y3^-3, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 4, 30, 10, 36, 21, 47, 25, 51, 15, 41, 7, 33, 12, 38, 17, 43, 5, 31)(3, 29, 9, 35, 20, 46, 24, 50, 13, 39, 19, 45, 23, 49, 26, 52, 18, 44, 6, 32, 11, 37, 22, 48, 14, 40)(53, 79, 55, 81, 56, 82, 65, 91, 67, 93, 70, 96, 57, 83, 66, 92, 68, 94, 76, 102, 77, 103, 78, 104, 69, 95, 74, 100, 60, 86, 72, 98, 73, 99, 75, 101, 64, 90, 63, 89, 54, 80, 61, 87, 62, 88, 71, 97, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 55)(7, 53)(8, 73)(9, 71)(10, 59)(11, 61)(12, 54)(13, 70)(14, 76)(15, 57)(16, 77)(17, 60)(18, 66)(19, 58)(20, 75)(21, 64)(22, 72)(23, 63)(24, 78)(25, 69)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.139
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y3 * Y2^2, (Y1^-1 * Y2)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^-1 * Y3^-3 * Y2^-1, Y3^-6 * Y1, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 16, 42, 18, 44, 24, 50, 20, 46, 21, 47, 12, 38, 13, 39, 4, 30, 5, 31)(3, 29, 8, 34, 11, 37, 17, 43, 19, 45, 25, 51, 26, 52, 22, 48, 23, 49, 14, 40, 15, 41, 6, 32, 9, 35)(53, 79, 55, 81, 59, 85, 63, 89, 68, 94, 71, 97, 76, 102, 78, 104, 73, 99, 75, 101, 65, 91, 67, 93, 57, 83, 61, 87, 54, 80, 60, 86, 62, 88, 69, 95, 70, 96, 77, 103, 72, 98, 74, 100, 64, 90, 66, 92, 56, 82, 58, 84)
	L = (1, 56)(2, 57)(3, 58)(4, 64)(5, 65)(6, 66)(7, 53)(8, 61)(9, 67)(10, 54)(11, 55)(12, 72)(13, 73)(14, 74)(15, 75)(16, 59)(17, 60)(18, 62)(19, 63)(20, 70)(21, 76)(22, 77)(23, 78)(24, 68)(25, 69)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.206
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^2, Y3 * Y2^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3^-3, Y1 * Y3^6, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 13, 39, 17, 43, 21, 47, 24, 50, 23, 49, 16, 42, 15, 41, 7, 33, 5, 31)(3, 29, 8, 34, 6, 32, 10, 36, 14, 40, 18, 44, 22, 48, 25, 51, 26, 52, 20, 46, 19, 45, 12, 38, 11, 37)(53, 79, 55, 81, 59, 85, 64, 90, 68, 94, 72, 98, 76, 102, 77, 103, 69, 95, 70, 96, 61, 87, 62, 88, 54, 80, 60, 86, 57, 83, 63, 89, 67, 93, 71, 97, 75, 101, 78, 104, 73, 99, 74, 100, 65, 91, 66, 92, 56, 82, 58, 84)
	L = (1, 56)(2, 61)(3, 58)(4, 65)(5, 54)(6, 66)(7, 53)(8, 62)(9, 69)(10, 70)(11, 60)(12, 55)(13, 73)(14, 74)(15, 57)(16, 59)(17, 76)(18, 77)(19, 63)(20, 64)(21, 75)(22, 78)(23, 67)(24, 68)(25, 72)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.201
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y2^2 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^13, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 10, 36, 14, 40, 18, 44, 22, 48, 25, 51, 21, 47, 17, 43, 13, 39, 9, 35, 4, 30)(3, 29, 5, 31, 7, 33, 11, 37, 15, 41, 19, 45, 23, 49, 26, 52, 24, 50, 20, 46, 16, 42, 12, 38, 8, 34)(53, 79, 55, 81, 56, 82, 60, 86, 61, 87, 64, 90, 65, 91, 68, 94, 69, 95, 72, 98, 73, 99, 76, 102, 77, 103, 78, 104, 74, 100, 75, 101, 70, 96, 71, 97, 66, 92, 67, 93, 62, 88, 63, 89, 58, 84, 59, 85, 54, 80, 57, 83)
	L = (1, 54)(2, 58)(3, 57)(4, 53)(5, 59)(6, 62)(7, 63)(8, 55)(9, 56)(10, 66)(11, 67)(12, 60)(13, 61)(14, 70)(15, 71)(16, 64)(17, 65)(18, 74)(19, 75)(20, 68)(21, 69)(22, 77)(23, 78)(24, 72)(25, 73)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.204
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, (Y1, Y2^-1), (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y1^-3, Y3^-3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 20, 46, 7, 33, 12, 38, 16, 42, 4, 30, 10, 36, 21, 47, 18, 44, 5, 31)(3, 29, 9, 35, 22, 48, 17, 43, 25, 51, 14, 40, 24, 50, 19, 45, 6, 32, 11, 37, 23, 49, 26, 52, 13, 39)(53, 79, 55, 81, 59, 85, 66, 92, 73, 99, 75, 101, 60, 86, 74, 100, 68, 94, 71, 97, 57, 83, 65, 91, 72, 98, 77, 103, 62, 88, 63, 89, 54, 80, 61, 87, 64, 90, 76, 102, 70, 96, 78, 104, 67, 93, 69, 95, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 67)(5, 68)(6, 69)(7, 53)(8, 73)(9, 63)(10, 72)(11, 77)(12, 54)(13, 71)(14, 55)(15, 70)(16, 60)(17, 78)(18, 64)(19, 74)(20, 57)(21, 59)(22, 75)(23, 66)(24, 61)(25, 65)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.207
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1, (Y1, Y3), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, (Y3 * Y1^-1 * Y2^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 16, 42, 4, 30, 10, 36, 20, 46, 7, 33, 12, 38, 15, 41, 18, 44, 5, 31)(3, 29, 9, 35, 22, 48, 26, 52, 19, 45, 6, 32, 11, 37, 23, 49, 14, 40, 24, 50, 17, 43, 25, 51, 13, 39)(53, 79, 55, 81, 59, 85, 66, 92, 73, 99, 78, 104, 70, 96, 77, 103, 62, 88, 63, 89, 54, 80, 61, 87, 64, 90, 76, 102, 68, 94, 71, 97, 57, 83, 65, 91, 72, 98, 75, 101, 60, 86, 74, 100, 67, 93, 69, 95, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 67)(5, 68)(6, 69)(7, 53)(8, 72)(9, 63)(10, 70)(11, 77)(12, 54)(13, 71)(14, 55)(15, 60)(16, 64)(17, 74)(18, 73)(19, 76)(20, 57)(21, 59)(22, 75)(23, 65)(24, 61)(25, 78)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.210
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y3 * Y2^2, (Y2, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^6, (Y3 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 21, 47, 13, 39, 4, 30, 7, 33, 11, 37, 19, 45, 22, 48, 14, 40, 5, 31)(3, 29, 9, 35, 17, 43, 24, 50, 23, 49, 15, 41, 6, 32, 10, 36, 18, 44, 25, 51, 26, 52, 20, 46, 12, 38)(53, 79, 55, 81, 59, 85, 62, 88, 54, 80, 61, 87, 63, 89, 70, 96, 60, 86, 69, 95, 71, 97, 77, 103, 68, 94, 76, 102, 74, 100, 78, 104, 73, 99, 75, 101, 66, 92, 72, 98, 65, 91, 67, 93, 57, 83, 64, 90, 56, 82, 58, 84)
	L = (1, 56)(2, 59)(3, 58)(4, 57)(5, 65)(6, 64)(7, 53)(8, 63)(9, 62)(10, 55)(11, 54)(12, 67)(13, 66)(14, 73)(15, 72)(16, 71)(17, 70)(18, 61)(19, 60)(20, 75)(21, 74)(22, 68)(23, 78)(24, 77)(25, 69)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.208
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, Y2 * Y1^-2 * Y2 * Y3 * Y1^2, Y3^-1 * Y1^-6, (Y3 * Y1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 23, 49, 15, 41, 7, 33, 4, 30, 10, 36, 18, 44, 22, 48, 14, 40, 5, 31)(3, 29, 9, 35, 17, 43, 24, 50, 26, 52, 21, 47, 13, 39, 6, 32, 11, 37, 19, 45, 25, 51, 20, 46, 12, 38)(53, 79, 55, 81, 59, 85, 65, 91, 57, 83, 64, 90, 67, 93, 73, 99, 66, 92, 72, 98, 75, 101, 78, 104, 74, 100, 77, 103, 68, 94, 76, 102, 70, 96, 71, 97, 60, 86, 69, 95, 62, 88, 63, 89, 54, 80, 61, 87, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 54)(5, 59)(6, 61)(7, 53)(8, 70)(9, 63)(10, 60)(11, 69)(12, 65)(13, 55)(14, 67)(15, 57)(16, 74)(17, 71)(18, 68)(19, 76)(20, 73)(21, 64)(22, 75)(23, 66)(24, 77)(25, 78)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.203
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y2 * Y1^-2 * Y2, Y3^-4 * Y1, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 21, 47, 19, 45, 15, 41, 23, 49, 16, 42, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 20, 46, 14, 40, 22, 48, 26, 52, 25, 51, 17, 43, 24, 50, 18, 44, 6, 32, 11, 37, 13, 39)(53, 79, 55, 81, 59, 85, 66, 92, 71, 97, 77, 103, 68, 94, 70, 96, 57, 83, 65, 91, 60, 86, 72, 98, 73, 99, 78, 104, 75, 101, 76, 102, 62, 88, 63, 89, 54, 80, 61, 87, 64, 90, 74, 100, 67, 93, 69, 95, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 67)(5, 68)(6, 69)(7, 53)(8, 57)(9, 63)(10, 75)(11, 76)(12, 54)(13, 70)(14, 55)(15, 64)(16, 71)(17, 74)(18, 77)(19, 59)(20, 65)(21, 60)(22, 61)(23, 73)(24, 78)(25, 66)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.200
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, Y2 * Y1 * Y2 * Y1^2, Y3^-4 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 20, 46, 15, 41, 19, 45, 24, 50, 18, 44, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 17, 43, 6, 32, 11, 37, 21, 47, 16, 42, 23, 49, 26, 52, 25, 51, 14, 40, 22, 48, 13, 39)(53, 79, 55, 81, 59, 85, 66, 92, 71, 97, 75, 101, 62, 88, 63, 89, 54, 80, 61, 87, 64, 90, 74, 100, 76, 102, 78, 104, 72, 98, 73, 99, 60, 86, 69, 95, 57, 83, 65, 91, 70, 96, 77, 103, 67, 93, 68, 94, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 67)(5, 60)(6, 68)(7, 53)(8, 72)(9, 63)(10, 71)(11, 75)(12, 54)(13, 69)(14, 55)(15, 70)(16, 77)(17, 73)(18, 57)(19, 59)(20, 76)(21, 78)(22, 61)(23, 66)(24, 64)(25, 65)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.202
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y3^3, Y3^-3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y3 * Y1^-3, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 4, 30, 10, 36, 21, 47, 25, 51, 15, 41, 7, 33, 12, 38, 18, 44, 5, 31)(3, 29, 9, 35, 20, 46, 19, 45, 6, 32, 11, 37, 22, 48, 26, 52, 17, 43, 14, 40, 23, 49, 24, 50, 13, 39)(53, 79, 55, 81, 59, 85, 66, 92, 62, 88, 63, 89, 54, 80, 61, 87, 64, 90, 75, 101, 73, 99, 74, 100, 60, 86, 72, 98, 70, 96, 76, 102, 77, 103, 78, 104, 68, 94, 71, 97, 57, 83, 65, 91, 67, 93, 69, 95, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 67)(5, 68)(6, 69)(7, 53)(8, 73)(9, 63)(10, 59)(11, 66)(12, 54)(13, 71)(14, 55)(15, 57)(16, 77)(17, 65)(18, 60)(19, 78)(20, 74)(21, 64)(22, 75)(23, 61)(24, 72)(25, 70)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.205
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y3^-1 * Y1 * Y3^-2, (Y1, Y2^-1), (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^4, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 7, 33, 12, 38, 22, 48, 25, 51, 15, 41, 4, 30, 10, 36, 17, 43, 5, 31)(3, 29, 9, 35, 20, 46, 24, 50, 14, 40, 16, 42, 23, 49, 26, 52, 18, 44, 6, 32, 11, 37, 21, 47, 13, 39)(53, 79, 55, 81, 59, 85, 66, 92, 67, 93, 70, 96, 57, 83, 65, 91, 71, 97, 76, 102, 77, 103, 78, 104, 69, 95, 73, 99, 60, 86, 72, 98, 74, 100, 75, 101, 62, 88, 63, 89, 54, 80, 61, 87, 64, 90, 68, 94, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 64)(5, 67)(6, 68)(7, 53)(8, 69)(9, 63)(10, 74)(11, 75)(12, 54)(13, 70)(14, 55)(15, 59)(16, 61)(17, 77)(18, 66)(19, 57)(20, 73)(21, 78)(22, 60)(23, 72)(24, 65)(25, 71)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.209
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), (Y3^-1, Y1^-1), Y3 * Y1^-3, Y1 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2^2 * Y1^-1, (Y3, Y2^-1), (R * Y1)^2, Y3 * Y1^-1 * Y2^-2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1 * Y3^2, Y3 * Y1^-1 * Y3 * Y2 * Y3^2 * Y2, Y3 * Y1 * Y2^22 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 20, 46, 15, 41, 18, 44, 23, 49, 16, 42, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 19, 45, 13, 39, 21, 47, 26, 52, 24, 50, 25, 51, 17, 43, 22, 48, 14, 40, 6, 32, 11, 37)(53, 79, 55, 81, 60, 86, 71, 97, 62, 88, 73, 99, 67, 93, 76, 102, 75, 101, 69, 95, 59, 85, 66, 92, 57, 83, 63, 89, 54, 80, 61, 87, 56, 82, 65, 91, 72, 98, 78, 104, 70, 96, 77, 103, 68, 94, 74, 100, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 60)(6, 61)(7, 53)(8, 72)(9, 73)(10, 70)(11, 71)(12, 54)(13, 76)(14, 55)(15, 68)(16, 57)(17, 58)(18, 59)(19, 78)(20, 75)(21, 77)(22, 63)(23, 64)(24, 74)(25, 66)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.214
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y1^-1 * Y2^2 * Y3^-1, Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1)^2, Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y2)^2, (Y1, Y2^-1), (R * Y3)^2, (Y3^-1, Y1^-1), Y3 * Y2^-1 * Y1 * Y2^-1, (R * Y1)^2, Y1 * Y3^-4, Y1^-2 * Y3 * Y2 * Y3^2 * Y2, Y2^18 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 20, 46, 18, 44, 15, 41, 22, 48, 16, 42, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 6, 32, 11, 37, 19, 45, 17, 43, 23, 49, 24, 50, 26, 52, 25, 51, 13, 39, 21, 47, 14, 40)(53, 79, 55, 81, 62, 88, 73, 99, 68, 94, 77, 103, 67, 93, 76, 102, 72, 98, 69, 95, 59, 85, 63, 89, 54, 80, 61, 87, 57, 83, 66, 92, 56, 82, 65, 91, 74, 100, 78, 104, 70, 96, 75, 101, 64, 90, 71, 97, 60, 86, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 66)(7, 53)(8, 57)(9, 73)(10, 74)(11, 55)(12, 54)(13, 76)(14, 77)(15, 64)(16, 70)(17, 58)(18, 59)(19, 61)(20, 60)(21, 78)(22, 72)(23, 63)(24, 71)(25, 75)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.212
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, (R * Y2)^2, (Y2^-1, Y3^-1), (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y3^-3 * Y1^-2, Y3^2 * Y1^-3, (Y2^-1 * Y3 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 14, 40, 19, 45, 7, 33, 11, 37, 15, 41, 4, 30, 10, 36, 21, 47, 17, 43, 5, 31)(3, 29, 9, 35, 22, 48, 25, 51, 20, 46, 13, 39, 24, 50, 16, 42, 12, 38, 23, 49, 26, 52, 18, 44, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 74, 100, 66, 92, 77, 103, 71, 97, 72, 98, 59, 85, 65, 91, 63, 89, 76, 102, 67, 93, 68, 94, 56, 82, 64, 90, 62, 88, 75, 101, 73, 99, 78, 104, 69, 95, 70, 96, 57, 83, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 66)(5, 67)(6, 68)(7, 53)(8, 73)(9, 75)(10, 71)(11, 54)(12, 77)(13, 55)(14, 69)(15, 60)(16, 74)(17, 63)(18, 76)(19, 57)(20, 58)(21, 59)(22, 78)(23, 72)(24, 61)(25, 70)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.217
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (Y1^-1, Y3^-1), (R * Y1)^2, Y1^2 * Y3^-3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1^13, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 16, 42, 4, 30, 9, 35, 19, 45, 7, 33, 11, 37, 15, 41, 18, 44, 5, 31)(3, 29, 6, 32, 10, 36, 22, 48, 25, 51, 12, 38, 17, 43, 23, 49, 14, 40, 20, 46, 24, 50, 26, 52, 13, 39)(53, 79, 55, 81, 57, 83, 65, 91, 70, 96, 78, 104, 67, 93, 76, 102, 63, 89, 72, 98, 59, 85, 66, 92, 71, 97, 75, 101, 61, 87, 69, 95, 56, 82, 64, 90, 68, 94, 77, 103, 73, 99, 74, 100, 60, 86, 62, 88, 54, 80, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 71)(9, 70)(10, 75)(11, 54)(12, 76)(13, 77)(14, 55)(15, 60)(16, 63)(17, 78)(18, 73)(19, 57)(20, 58)(21, 59)(22, 66)(23, 65)(24, 62)(25, 72)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.220
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3 * Y1^-1, Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2 * Y3^-1)^2, Y1^2 * Y2 * Y3 * Y2^3, Y2^-1 * Y1^2 * Y3 * Y2^-1 * Y1^2, (Y2^2 * Y3^-1 * Y2)^2, Y1^13, Y2^-26, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 20, 46, 9, 35, 17, 43, 24, 50, 13, 39, 18, 44, 22, 48, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 25, 51, 26, 52, 19, 45, 23, 49, 12, 38, 5, 31, 8, 34, 16, 42, 21, 47, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 74, 100, 68, 94, 58, 84, 67, 93, 76, 102, 64, 90, 56, 82, 62, 88, 72, 98, 78, 104, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 75, 101, 63, 89, 73, 99, 66, 92, 77, 103, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 72)(15, 77)(16, 73)(17, 76)(18, 74)(19, 75)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 78)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.216
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1, (Y3^-1, Y1), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3), Y1^-1 * Y2^4, Y2^2 * Y1 * Y3^-2, Y2 * Y1 * Y3 * Y2 * Y1, Y1^3 * Y3^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 4, 30, 10, 36, 22, 48, 13, 39, 17, 43, 7, 33, 12, 38, 20, 46, 5, 31)(3, 29, 9, 35, 23, 49, 26, 52, 14, 40, 21, 47, 6, 32, 11, 37, 24, 50, 16, 42, 19, 45, 25, 51, 15, 41)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 69, 95, 76, 102, 60, 86, 75, 101, 59, 85, 68, 94, 70, 96, 78, 104, 64, 90, 71, 97, 56, 82, 66, 92, 72, 98, 77, 103, 62, 88, 73, 99, 57, 83, 67, 93, 74, 100, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 74)(9, 73)(10, 59)(11, 77)(12, 54)(13, 72)(14, 76)(15, 78)(16, 55)(17, 57)(18, 65)(19, 61)(20, 60)(21, 68)(22, 64)(23, 58)(24, 67)(25, 75)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.215
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3), Y1^-1 * Y3^-2 * Y2^2, Y3 * Y2^-2 * Y1 * Y3, Y2 * Y1 * Y2^3, Y1^-4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 7, 33, 12, 38, 13, 39, 22, 48, 17, 43, 4, 30, 10, 36, 19, 45, 5, 31)(3, 29, 9, 35, 24, 50, 18, 44, 16, 42, 26, 52, 20, 46, 6, 32, 11, 37, 14, 40, 25, 51, 23, 49, 15, 41)(53, 79, 55, 81, 65, 91, 72, 98, 57, 83, 67, 93, 64, 90, 78, 104, 71, 97, 75, 101, 59, 85, 68, 94, 62, 88, 77, 103, 73, 99, 70, 96, 56, 82, 66, 92, 60, 86, 76, 102, 69, 95, 63, 89, 54, 80, 61, 87, 74, 100, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 64)(5, 69)(6, 70)(7, 53)(8, 71)(9, 77)(10, 65)(11, 68)(12, 54)(13, 60)(14, 78)(15, 63)(16, 55)(17, 59)(18, 67)(19, 74)(20, 76)(21, 57)(22, 73)(23, 58)(24, 75)(25, 72)(26, 61)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.221
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y2^2 * Y3 * Y1^-1, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y2^-1 * Y3^2 * Y2, Y2 * Y3^-5 * Y2, (Y1 * Y3^-1)^13, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 27, 2, 28, 7, 33, 10, 36, 17, 43, 19, 45, 25, 51, 21, 47, 22, 48, 13, 39, 14, 40, 4, 30, 5, 31)(3, 29, 8, 34, 12, 38, 18, 44, 20, 46, 26, 52, 23, 49, 24, 50, 15, 41, 16, 42, 6, 32, 9, 35, 11, 37)(53, 79, 55, 81, 62, 88, 70, 96, 77, 103, 75, 101, 65, 91, 68, 94, 57, 83, 63, 89, 59, 85, 64, 90, 71, 97, 78, 104, 74, 100, 67, 93, 56, 82, 61, 87, 54, 80, 60, 86, 69, 95, 72, 98, 73, 99, 76, 102, 66, 92, 58, 84)
	L = (1, 56)(2, 57)(3, 61)(4, 65)(5, 66)(6, 67)(7, 53)(8, 63)(9, 68)(10, 54)(11, 58)(12, 55)(13, 73)(14, 74)(15, 75)(16, 76)(17, 59)(18, 60)(19, 62)(20, 64)(21, 71)(22, 77)(23, 72)(24, 78)(25, 69)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.218
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1), Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y2^2 * Y3^-3, Y2 * Y3^-2 * Y2 * Y3^-3, Y3 * Y1 * Y3^5, Y1^-1 * Y3^-1 * Y2^24, (Y1^-1 * Y3^-1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 15, 41, 18, 44, 23, 49, 25, 51, 21, 47, 17, 43, 11, 37, 7, 33, 5, 31)(3, 29, 8, 34, 12, 38, 6, 32, 10, 36, 16, 42, 19, 45, 24, 50, 26, 52, 22, 48, 20, 46, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 72, 98, 77, 103, 76, 102, 67, 93, 62, 88, 54, 80, 60, 86, 59, 85, 66, 92, 73, 99, 78, 104, 70, 96, 68, 94, 56, 82, 64, 90, 57, 83, 65, 91, 69, 95, 74, 100, 75, 101, 71, 97, 61, 87, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 54)(6, 68)(7, 53)(8, 58)(9, 70)(10, 71)(11, 57)(12, 62)(13, 60)(14, 55)(15, 75)(16, 76)(17, 59)(18, 77)(19, 78)(20, 65)(21, 63)(22, 66)(23, 73)(24, 74)(25, 69)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.211
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (R * Y3)^2, (Y2, Y3), (Y2, Y1), (R * Y1)^2, (R * Y2)^2, Y1 * Y3 * Y1 * Y2^-2, Y2^4 * Y3 * Y1, Y2^-2 * Y1^-4, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 22, 48, 20, 46, 19, 45, 7, 33, 4, 30, 10, 36, 12, 38, 24, 50, 17, 43, 5, 31)(3, 29, 9, 35, 23, 49, 18, 44, 6, 32, 11, 37, 15, 41, 13, 39, 25, 51, 26, 52, 21, 47, 16, 42, 14, 40)(53, 79, 55, 81, 64, 90, 78, 104, 71, 97, 63, 89, 54, 80, 61, 87, 76, 102, 73, 99, 59, 85, 67, 93, 60, 86, 75, 101, 69, 95, 68, 94, 56, 82, 65, 91, 74, 100, 70, 96, 57, 83, 66, 92, 62, 88, 77, 103, 72, 98, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 54)(5, 59)(6, 68)(7, 53)(8, 64)(9, 77)(10, 60)(11, 66)(12, 74)(13, 61)(14, 67)(15, 55)(16, 63)(17, 71)(18, 73)(19, 57)(20, 69)(21, 58)(22, 76)(23, 78)(24, 72)(25, 75)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.213
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^-2 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1^-3 * Y2 * Y1^-1 * Y2, Y3 * Y2^4 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 22, 48, 12, 38, 16, 42, 4, 30, 7, 33, 11, 37, 20, 46, 24, 50, 18, 44, 5, 31)(3, 29, 9, 35, 17, 43, 21, 47, 25, 51, 26, 52, 13, 39, 15, 41, 19, 45, 6, 32, 10, 36, 23, 49, 14, 40)(53, 79, 55, 81, 64, 90, 77, 103, 63, 89, 71, 97, 57, 83, 66, 92, 74, 100, 73, 99, 59, 85, 67, 93, 70, 96, 75, 101, 60, 86, 69, 95, 56, 82, 65, 91, 76, 102, 62, 88, 54, 80, 61, 87, 68, 94, 78, 104, 72, 98, 58, 84)
	L = (1, 56)(2, 59)(3, 65)(4, 57)(5, 68)(6, 69)(7, 53)(8, 63)(9, 67)(10, 73)(11, 54)(12, 76)(13, 66)(14, 78)(15, 55)(16, 70)(17, 71)(18, 64)(19, 61)(20, 60)(21, 58)(22, 72)(23, 77)(24, 74)(25, 62)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.219
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-3, Y2^-2 * Y3^-1 * Y1^-1, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2 * Y1^-1)^2, Y3^-2 * Y1 * Y3^-2, Y2^20 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 20, 46, 18, 44, 15, 41, 22, 48, 16, 42, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 19, 45, 14, 40, 21, 47, 26, 52, 25, 51, 24, 50, 17, 43, 23, 49, 13, 39, 6, 32, 11, 37)(53, 79, 55, 81, 60, 86, 71, 97, 64, 90, 73, 99, 70, 96, 77, 103, 74, 100, 69, 95, 56, 82, 65, 91, 57, 83, 63, 89, 54, 80, 61, 87, 59, 85, 66, 92, 72, 98, 78, 104, 67, 93, 76, 102, 68, 94, 75, 101, 62, 88, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 69)(7, 53)(8, 57)(9, 58)(10, 74)(11, 75)(12, 54)(13, 76)(14, 55)(15, 64)(16, 70)(17, 78)(18, 59)(19, 63)(20, 60)(21, 61)(22, 72)(23, 77)(24, 73)(25, 66)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.187
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y1^-1 * Y2^-1)^2, Y3 * Y1^-3, (Y2^-1, Y1^-1), Y3 * Y2^2 * Y1^-1, Y2^2 * Y3 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1 * 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 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 19, 45, 15, 41, 18, 44, 23, 49, 17, 43, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 6, 32, 11, 37, 20, 46, 16, 42, 22, 48, 25, 51, 26, 52, 24, 50, 14, 40, 21, 47, 13, 39)(53, 79, 55, 81, 64, 90, 73, 99, 69, 95, 76, 102, 70, 96, 77, 103, 71, 97, 68, 94, 56, 82, 63, 89, 54, 80, 61, 87, 57, 83, 65, 91, 59, 85, 66, 92, 75, 101, 78, 104, 67, 93, 74, 100, 62, 88, 72, 98, 60, 86, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 67)(5, 60)(6, 68)(7, 53)(8, 71)(9, 72)(10, 70)(11, 74)(12, 54)(13, 58)(14, 55)(15, 69)(16, 78)(17, 57)(18, 59)(19, 75)(20, 77)(21, 61)(22, 76)(23, 64)(24, 65)(25, 66)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.179
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y2), Y3^-2 * Y1^-3, Y3^-1 * Y1 * Y3^-2 * Y1, (Y3^-1 * Y2^-1 * Y1^-1)^2, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 15, 41, 4, 30, 10, 36, 19, 45, 7, 33, 11, 37, 14, 40, 17, 43, 5, 31)(3, 29, 9, 35, 22, 48, 26, 52, 16, 42, 12, 38, 23, 49, 20, 46, 13, 39, 24, 50, 25, 51, 18, 44, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 74, 100, 73, 99, 78, 104, 67, 93, 68, 94, 56, 82, 64, 90, 62, 88, 75, 101, 71, 97, 72, 98, 59, 85, 65, 91, 63, 89, 76, 102, 66, 92, 77, 103, 69, 95, 70, 96, 57, 83, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 66)(5, 67)(6, 68)(7, 53)(8, 71)(9, 75)(10, 69)(11, 54)(12, 77)(13, 55)(14, 60)(15, 63)(16, 76)(17, 73)(18, 78)(19, 57)(20, 58)(21, 59)(22, 72)(23, 70)(24, 61)(25, 74)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.182
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2, (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, Y1^2 * Y3^-2 * Y1, Y3^3 * Y1^2, Y1^-1 * Y3 * Y1^-2 * Y3, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 19, 45, 7, 33, 11, 37, 16, 42, 4, 30, 9, 35, 21, 47, 18, 44, 5, 31)(3, 29, 6, 32, 10, 36, 22, 48, 26, 52, 14, 40, 20, 46, 24, 50, 12, 38, 17, 43, 23, 49, 25, 51, 13, 39)(53, 79, 55, 81, 57, 83, 65, 91, 70, 96, 77, 103, 73, 99, 75, 101, 61, 87, 69, 95, 56, 82, 64, 90, 68, 94, 76, 102, 63, 89, 72, 98, 59, 85, 66, 92, 71, 97, 78, 104, 67, 93, 74, 100, 60, 86, 62, 88, 54, 80, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 73)(9, 71)(10, 75)(11, 54)(12, 74)(13, 76)(14, 55)(15, 70)(16, 60)(17, 78)(18, 63)(19, 57)(20, 58)(21, 59)(22, 77)(23, 66)(24, 62)(25, 72)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.180
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-3 * Y1, Y1^2 * Y2 * Y1 * Y2 * Y1^2, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 24, 50, 13, 39, 18, 44, 20, 46, 9, 35, 17, 43, 22, 48, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 12, 38, 5, 31, 8, 34, 16, 42, 19, 45, 26, 52, 25, 51, 21, 47, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 66, 92, 75, 101, 63, 89, 73, 99, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 78, 104, 76, 102, 64, 90, 56, 82, 62, 88, 72, 98, 68, 94, 58, 84, 67, 93, 74, 100, 77, 103, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 76)(15, 75)(16, 71)(17, 74)(18, 72)(19, 78)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 73)(26, 77)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.185
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), Y1^-1 * Y3^3, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, (Y2^-1, Y3), Y2^2 * Y1^2 * Y3^-1, Y3 * Y2 * Y1 * Y3 * Y2, Y3 * Y1^4, Y1^-1 * Y2^4, (Y3 * Y1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 7, 33, 12, 38, 22, 48, 13, 39, 17, 43, 4, 30, 10, 36, 19, 45, 5, 31)(3, 29, 9, 35, 18, 44, 25, 51, 16, 42, 20, 46, 6, 32, 11, 37, 24, 50, 14, 40, 23, 49, 26, 52, 15, 41)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 69, 95, 76, 102, 60, 86, 70, 96, 56, 82, 66, 92, 73, 99, 77, 103, 62, 88, 75, 101, 59, 85, 68, 94, 71, 97, 78, 104, 64, 90, 72, 98, 57, 83, 67, 93, 74, 100, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 64)(5, 69)(6, 70)(7, 53)(8, 71)(9, 75)(10, 74)(11, 77)(12, 54)(13, 73)(14, 72)(15, 76)(16, 55)(17, 59)(18, 78)(19, 65)(20, 61)(21, 57)(22, 60)(23, 58)(24, 68)(25, 67)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.183
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1 * Y3^-1, (Y3^-1, Y1), (Y3^-1, Y2), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y2^2 * Y1^-1, Y1^-3 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y2^4 * Y1, (Y2^-1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 4, 30, 10, 36, 13, 39, 22, 48, 17, 43, 7, 33, 12, 38, 20, 46, 5, 31)(3, 29, 9, 35, 24, 50, 23, 49, 14, 40, 25, 51, 21, 47, 6, 32, 11, 37, 16, 42, 26, 52, 19, 45, 15, 41)(53, 79, 55, 81, 65, 91, 73, 99, 57, 83, 67, 93, 62, 88, 77, 103, 72, 98, 71, 97, 56, 82, 66, 92, 64, 90, 78, 104, 70, 96, 75, 101, 59, 85, 68, 94, 60, 86, 76, 102, 69, 95, 63, 89, 54, 80, 61, 87, 74, 100, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 65)(9, 77)(10, 59)(11, 67)(12, 54)(13, 64)(14, 63)(15, 75)(16, 55)(17, 57)(18, 74)(19, 76)(20, 60)(21, 78)(22, 72)(23, 58)(24, 73)(25, 68)(26, 61)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.186
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, (Y3, Y2^-1), Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-2 * Y3 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y3^5 * Y2^2, (Y1^-1 * Y3^-1)^13, Y3 * Y1 * Y2^24 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 13, 39, 19, 45, 21, 47, 25, 51, 23, 49, 17, 43, 15, 41, 7, 33, 5, 31)(3, 29, 8, 34, 11, 37, 18, 44, 20, 46, 26, 52, 24, 50, 22, 48, 16, 42, 14, 40, 6, 32, 10, 36, 12, 38)(53, 79, 55, 81, 61, 87, 70, 96, 73, 99, 76, 102, 69, 95, 66, 92, 57, 83, 64, 90, 56, 82, 63, 89, 71, 97, 78, 104, 75, 101, 68, 94, 59, 85, 62, 88, 54, 80, 60, 86, 65, 91, 72, 98, 77, 103, 74, 100, 67, 93, 58, 84)
	L = (1, 56)(2, 61)(3, 63)(4, 65)(5, 54)(6, 64)(7, 53)(8, 70)(9, 71)(10, 55)(11, 72)(12, 60)(13, 73)(14, 62)(15, 57)(16, 58)(17, 59)(18, 78)(19, 77)(20, 76)(21, 75)(22, 66)(23, 67)(24, 68)(25, 69)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.188
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y1 * Y2 * Y3^-1 * Y2, Y2^2 * Y1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^5 * Y2^2, (Y3 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 17, 43, 19, 45, 25, 51, 23, 49, 21, 47, 15, 41, 11, 37, 4, 30, 5, 31)(3, 29, 8, 34, 14, 40, 6, 32, 9, 35, 16, 42, 18, 44, 24, 50, 26, 52, 22, 48, 20, 46, 12, 38, 13, 39)(53, 79, 55, 81, 63, 89, 72, 98, 75, 101, 76, 102, 69, 95, 61, 87, 54, 80, 60, 86, 56, 82, 64, 90, 73, 99, 78, 104, 71, 97, 68, 94, 59, 85, 66, 92, 57, 83, 65, 91, 67, 93, 74, 100, 77, 103, 70, 96, 62, 88, 58, 84)
	L = (1, 56)(2, 57)(3, 64)(4, 67)(5, 63)(6, 60)(7, 53)(8, 65)(9, 66)(10, 54)(11, 73)(12, 74)(13, 72)(14, 55)(15, 75)(16, 58)(17, 59)(18, 61)(19, 62)(20, 78)(21, 77)(22, 76)(23, 71)(24, 68)(25, 69)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.181
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3^-1, (Y2, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2), Y2^-2 * Y1^2 * Y3^-1, Y1^2 * Y2^-2 * Y3^-1, Y1^2 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 22, 48, 20, 46, 16, 42, 4, 30, 7, 33, 11, 37, 12, 38, 24, 50, 18, 44, 5, 31)(3, 29, 9, 35, 23, 49, 19, 45, 6, 32, 10, 36, 13, 39, 15, 41, 25, 51, 26, 52, 17, 43, 21, 47, 14, 40)(53, 79, 55, 81, 64, 90, 78, 104, 68, 94, 62, 88, 54, 80, 61, 87, 76, 102, 69, 95, 56, 82, 65, 91, 60, 86, 75, 101, 70, 96, 73, 99, 59, 85, 67, 93, 74, 100, 71, 97, 57, 83, 66, 92, 63, 89, 77, 103, 72, 98, 58, 84)
	L = (1, 56)(2, 59)(3, 65)(4, 57)(5, 68)(6, 69)(7, 53)(8, 63)(9, 67)(10, 73)(11, 54)(12, 60)(13, 66)(14, 62)(15, 55)(16, 70)(17, 71)(18, 72)(19, 78)(20, 76)(21, 58)(22, 64)(23, 77)(24, 74)(25, 61)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.184
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3), (R * Y3)^2, Y2^2 * Y1^2 * Y3, Y1 * Y2^2 * Y3 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-2 * Y1^-2, Y1 * Y2^-2 * Y1^3, Y2^-1 * Y1^3 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^3, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 22, 48, 12, 38, 19, 45, 7, 33, 4, 30, 10, 36, 20, 46, 25, 51, 17, 43, 5, 31)(3, 29, 9, 35, 21, 47, 16, 42, 24, 50, 26, 52, 15, 41, 13, 39, 18, 44, 6, 32, 11, 37, 23, 49, 14, 40)(53, 79, 55, 81, 64, 90, 76, 102, 62, 88, 70, 96, 57, 83, 66, 92, 74, 100, 68, 94, 56, 82, 65, 91, 69, 95, 75, 101, 60, 86, 73, 99, 59, 85, 67, 93, 77, 103, 63, 89, 54, 80, 61, 87, 71, 97, 78, 104, 72, 98, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 54)(5, 59)(6, 68)(7, 53)(8, 72)(9, 70)(10, 60)(11, 76)(12, 69)(13, 61)(14, 67)(15, 55)(16, 63)(17, 71)(18, 73)(19, 57)(20, 74)(21, 58)(22, 77)(23, 78)(24, 75)(25, 64)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.178
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2^-1)^2, Y1^-1 * Y3^-3, (R * Y3)^2, Y2^2 * Y1^-2, (R * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, Y1 * Y3^-1 * Y2^2 * Y1, Y2^2 * Y3^-1 * Y1^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^26, Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 4, 30, 10, 36, 21, 47, 25, 51, 15, 41, 7, 33, 12, 38, 18, 44, 5, 31)(3, 29, 9, 35, 17, 43, 23, 49, 13, 39, 22, 48, 26, 52, 20, 46, 24, 50, 14, 40, 19, 45, 6, 32, 11, 37)(53, 79, 55, 81, 60, 86, 69, 95, 56, 82, 65, 91, 73, 99, 78, 104, 67, 93, 76, 102, 64, 90, 71, 97, 57, 83, 63, 89, 54, 80, 61, 87, 68, 94, 75, 101, 62, 88, 74, 100, 77, 103, 72, 98, 59, 85, 66, 92, 70, 96, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 69)(7, 53)(8, 73)(9, 74)(10, 59)(11, 75)(12, 54)(13, 76)(14, 55)(15, 57)(16, 77)(17, 78)(18, 60)(19, 61)(20, 58)(21, 64)(22, 66)(23, 72)(24, 63)(25, 70)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.177
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3^2, (Y2 * Y1)^2, (Y2, Y1^-1), Y1^-1 * Y2^-2 * Y1^-1, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y3 * Y1^2 * Y2^-2, Y1^9 * Y3^-1, Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-4, Y2^22 * Y3, Y1^-1 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 7, 33, 12, 38, 21, 47, 25, 51, 17, 43, 4, 30, 10, 36, 13, 39, 5, 31)(3, 29, 9, 35, 6, 32, 11, 37, 16, 42, 23, 49, 20, 46, 24, 50, 26, 52, 14, 40, 22, 48, 18, 44, 15, 41)(53, 79, 55, 81, 65, 91, 70, 96, 56, 82, 66, 92, 77, 103, 76, 102, 64, 90, 75, 101, 71, 97, 63, 89, 54, 80, 61, 87, 57, 83, 67, 93, 62, 88, 74, 100, 69, 95, 78, 104, 73, 99, 72, 98, 59, 85, 68, 94, 60, 86, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 64)(5, 69)(6, 70)(7, 53)(8, 65)(9, 74)(10, 73)(11, 67)(12, 54)(13, 77)(14, 75)(15, 78)(16, 55)(17, 59)(18, 76)(19, 57)(20, 58)(21, 60)(22, 72)(23, 61)(24, 63)(25, 71)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.168
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1 * Y3^-1 * Y1, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-6 * Y1^-1, (Y3 * Y1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 12, 38, 17, 43, 20, 46, 23, 49, 21, 47, 15, 41, 13, 39, 7, 33, 5, 31)(3, 29, 8, 34, 10, 36, 16, 42, 18, 44, 24, 50, 25, 51, 26, 52, 22, 48, 19, 45, 14, 40, 11, 37, 6, 32)(53, 79, 55, 81, 54, 80, 60, 86, 56, 82, 62, 88, 61, 87, 68, 94, 64, 90, 70, 96, 69, 95, 76, 102, 72, 98, 77, 103, 75, 101, 78, 104, 73, 99, 74, 100, 67, 93, 71, 97, 65, 91, 66, 92, 59, 85, 63, 89, 57, 83, 58, 84)
	L = (1, 56)(2, 61)(3, 62)(4, 64)(5, 54)(6, 60)(7, 53)(8, 68)(9, 69)(10, 70)(11, 55)(12, 72)(13, 57)(14, 58)(15, 59)(16, 76)(17, 75)(18, 77)(19, 63)(20, 73)(21, 65)(22, 66)(23, 67)(24, 78)(25, 74)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.170
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y2 * Y1 * Y2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-6 * Y1, (Y3 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 9, 35, 15, 41, 17, 43, 23, 49, 20, 46, 21, 47, 12, 38, 13, 39, 4, 30, 5, 31)(3, 29, 6, 32, 8, 34, 14, 40, 16, 42, 22, 48, 24, 50, 25, 51, 26, 52, 18, 44, 19, 45, 10, 36, 11, 37)(53, 79, 55, 81, 57, 83, 63, 89, 56, 82, 62, 88, 65, 91, 71, 97, 64, 90, 70, 96, 73, 99, 78, 104, 72, 98, 77, 103, 75, 101, 76, 102, 69, 95, 74, 100, 67, 93, 68, 94, 61, 87, 66, 92, 59, 85, 60, 86, 54, 80, 58, 84)
	L = (1, 56)(2, 57)(3, 62)(4, 64)(5, 65)(6, 63)(7, 53)(8, 55)(9, 54)(10, 70)(11, 71)(12, 72)(13, 73)(14, 58)(15, 59)(16, 60)(17, 61)(18, 77)(19, 78)(20, 69)(21, 75)(22, 66)(23, 67)(24, 68)(25, 74)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.175
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3 * Y3, (Y2, Y3^-1), (Y2^-1, Y1), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y3^-1 * Y2^4, Y3^-4 * Y1, Y3 * Y1 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 13, 39, 23, 49, 17, 43, 21, 47, 18, 44, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 24, 50, 16, 42, 25, 51, 19, 45, 26, 52, 20, 46, 6, 32, 11, 37, 14, 40, 22, 48, 15, 41)(53, 79, 55, 81, 65, 91, 71, 97, 56, 82, 66, 92, 60, 86, 76, 102, 69, 95, 72, 98, 57, 83, 67, 93, 64, 90, 77, 103, 70, 96, 63, 89, 54, 80, 61, 87, 75, 101, 78, 104, 62, 88, 74, 100, 59, 85, 68, 94, 73, 99, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 57)(9, 74)(10, 73)(11, 78)(12, 54)(13, 60)(14, 72)(15, 63)(16, 55)(17, 64)(18, 75)(19, 76)(20, 77)(21, 65)(22, 58)(23, 59)(24, 67)(25, 61)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.169
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^3, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3, Y2), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y2^3, Y1 * Y3^4, Y1 * Y2^2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 21, 47, 17, 43, 23, 49, 13, 39, 20, 46, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 22, 48, 14, 40, 19, 45, 6, 32, 11, 37, 24, 50, 18, 44, 26, 52, 16, 42, 25, 51, 15, 41)(53, 79, 55, 81, 65, 91, 70, 96, 56, 82, 66, 92, 64, 90, 77, 103, 69, 95, 63, 89, 54, 80, 61, 87, 72, 98, 78, 104, 62, 88, 71, 97, 57, 83, 67, 93, 75, 101, 76, 102, 60, 86, 74, 100, 59, 85, 68, 94, 73, 99, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 60)(6, 70)(7, 53)(8, 73)(9, 71)(10, 75)(11, 78)(12, 54)(13, 64)(14, 63)(15, 74)(16, 55)(17, 72)(18, 77)(19, 76)(20, 57)(21, 65)(22, 58)(23, 59)(24, 68)(25, 61)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.172
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y2^-1 * Y3^-1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y2 * Y3^6 * Y2, Y1^2 * Y2^-1 * Y3^2 * Y1^2 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^13, Y3 * Y1 * Y2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 22, 48, 21, 47, 13, 39, 9, 35, 17, 43, 25, 51, 19, 45, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 20, 46, 12, 38, 5, 31, 8, 34, 16, 42, 24, 50, 26, 52, 18, 44, 10, 36)(53, 79, 55, 81, 61, 87, 60, 86, 54, 80, 59, 85, 69, 95, 68, 94, 58, 84, 67, 93, 77, 103, 76, 102, 66, 92, 75, 101, 71, 97, 78, 104, 74, 100, 72, 98, 63, 89, 70, 96, 73, 99, 64, 90, 56, 82, 62, 88, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 61)(14, 74)(15, 75)(16, 76)(17, 77)(18, 62)(19, 63)(20, 64)(21, 65)(22, 73)(23, 72)(24, 78)(25, 71)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.176
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, (R * Y2)^2, (Y3^-1, Y2), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-2 * Y2, Y2 * Y3^-1 * Y2^3, Y2^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 12, 38, 24, 50, 16, 42, 4, 30, 7, 33, 11, 37, 23, 49, 20, 46, 18, 44, 5, 31)(3, 29, 9, 35, 22, 48, 17, 43, 21, 47, 26, 52, 13, 39, 15, 41, 25, 51, 19, 45, 6, 32, 10, 36, 14, 40)(53, 79, 55, 81, 64, 90, 69, 95, 56, 82, 65, 91, 75, 101, 71, 97, 57, 83, 66, 92, 60, 86, 74, 100, 68, 94, 78, 104, 63, 89, 77, 103, 70, 96, 62, 88, 54, 80, 61, 87, 76, 102, 73, 99, 59, 85, 67, 93, 72, 98, 58, 84)
	L = (1, 56)(2, 59)(3, 65)(4, 57)(5, 68)(6, 69)(7, 53)(8, 63)(9, 67)(10, 73)(11, 54)(12, 75)(13, 66)(14, 78)(15, 55)(16, 70)(17, 71)(18, 76)(19, 74)(20, 64)(21, 58)(22, 77)(23, 60)(24, 72)(25, 61)(26, 62)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.171
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (Y2, Y3), (R * Y2)^2, Y2^4 * Y3^-1, Y2 * Y1 * Y2 * Y1^2, Y2^3 * Y3^-1 * Y2, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 20, 46, 26, 52, 19, 45, 7, 33, 4, 30, 10, 36, 22, 48, 12, 38, 17, 43, 5, 31)(3, 29, 9, 35, 18, 44, 6, 32, 11, 37, 23, 49, 15, 41, 13, 39, 24, 50, 21, 47, 16, 42, 25, 51, 14, 40)(53, 79, 55, 81, 64, 90, 68, 94, 56, 82, 65, 91, 78, 104, 63, 89, 54, 80, 61, 87, 69, 95, 77, 103, 62, 88, 76, 102, 71, 97, 75, 101, 60, 86, 70, 96, 57, 83, 66, 92, 74, 100, 73, 99, 59, 85, 67, 93, 72, 98, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 54)(5, 59)(6, 68)(7, 53)(8, 74)(9, 76)(10, 60)(11, 77)(12, 78)(13, 61)(14, 67)(15, 55)(16, 63)(17, 71)(18, 73)(19, 57)(20, 64)(21, 58)(22, 72)(23, 66)(24, 70)(25, 75)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.173
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y2^2 * Y1^-1 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1 * Y2^2 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y1, Y3^-1 * Y1^5, (Y3^-1 * Y1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 16, 42, 4, 30, 10, 36, 20, 46, 7, 33, 12, 38, 15, 41, 18, 44, 5, 31)(3, 29, 9, 35, 22, 48, 19, 45, 6, 32, 11, 37, 23, 49, 26, 52, 14, 40, 17, 43, 24, 50, 25, 51, 13, 39)(53, 79, 55, 81, 64, 90, 69, 95, 56, 82, 63, 89, 54, 80, 61, 87, 67, 93, 76, 102, 62, 88, 75, 101, 60, 86, 74, 100, 70, 96, 77, 103, 72, 98, 78, 104, 73, 99, 71, 97, 57, 83, 65, 91, 59, 85, 66, 92, 68, 94, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 67)(5, 68)(6, 69)(7, 53)(8, 72)(9, 75)(10, 70)(11, 76)(12, 54)(13, 58)(14, 55)(15, 60)(16, 64)(17, 61)(18, 73)(19, 66)(20, 57)(21, 59)(22, 78)(23, 77)(24, 74)(25, 71)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.167
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3 * Y1, Y3^-1 * Y1^-1 * Y2^-2, (Y3^-1, Y2^-1), Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y3), Y1 * Y2^-1 * Y3^2 * Y2^-1, Y3 * Y1^2 * Y3^2, Y3^-1 * Y1^2 * Y3^-1 * Y1, (Y2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 13, 39, 7, 33, 12, 38, 18, 44, 4, 30, 10, 36, 21, 47, 20, 46, 5, 31)(3, 29, 9, 35, 22, 48, 25, 51, 19, 45, 16, 42, 24, 50, 26, 52, 14, 40, 6, 32, 11, 37, 23, 49, 15, 41)(53, 79, 55, 81, 65, 91, 71, 97, 56, 82, 66, 92, 57, 83, 67, 93, 69, 95, 77, 103, 70, 96, 78, 104, 72, 98, 75, 101, 60, 86, 74, 100, 64, 90, 76, 102, 73, 99, 63, 89, 54, 80, 61, 87, 59, 85, 68, 94, 62, 88, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 73)(9, 58)(10, 65)(11, 68)(12, 54)(13, 57)(14, 77)(15, 78)(16, 55)(17, 72)(18, 60)(19, 67)(20, 64)(21, 59)(22, 63)(23, 76)(24, 61)(25, 75)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.174
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1 * Y3, (Y2 * Y1^-1)^2, (Y1, Y3^-1), (R * Y3)^2, Y2^2 * Y1^-2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2, Y1^3 * Y3 * Y1, Y2^-1 * Y3^2 * Y1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 7, 33, 12, 38, 21, 47, 25, 51, 15, 41, 4, 30, 10, 36, 17, 43, 5, 31)(3, 29, 9, 35, 20, 46, 24, 50, 14, 40, 22, 48, 26, 52, 16, 42, 23, 49, 13, 39, 18, 44, 6, 32, 11, 37)(53, 79, 55, 81, 60, 86, 72, 98, 59, 85, 66, 92, 73, 99, 78, 104, 67, 93, 75, 101, 62, 88, 70, 96, 57, 83, 63, 89, 54, 80, 61, 87, 71, 97, 76, 102, 64, 90, 74, 100, 77, 103, 68, 94, 56, 82, 65, 91, 69, 95, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 64)(5, 67)(6, 68)(7, 53)(8, 69)(9, 70)(10, 73)(11, 75)(12, 54)(13, 74)(14, 55)(15, 59)(16, 76)(17, 77)(18, 78)(19, 57)(20, 58)(21, 60)(22, 61)(23, 66)(24, 63)(25, 71)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.224
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, Y3^3 * Y1, (Y3^-1, Y1), Y2^-2 * Y1^-2, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, Y2^-2 * Y1^2 * Y3^-1, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2^22 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 4, 30, 10, 36, 21, 47, 25, 51, 17, 43, 7, 33, 12, 38, 13, 39, 5, 31)(3, 29, 9, 35, 6, 32, 11, 37, 14, 40, 22, 48, 19, 45, 24, 50, 26, 52, 16, 42, 23, 49, 20, 46, 15, 41)(53, 79, 55, 81, 65, 91, 72, 98, 59, 85, 68, 94, 77, 103, 76, 102, 62, 88, 74, 100, 70, 96, 63, 89, 54, 80, 61, 87, 57, 83, 67, 93, 64, 90, 75, 101, 69, 95, 78, 104, 73, 99, 71, 97, 56, 82, 66, 92, 60, 86, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 73)(9, 74)(10, 59)(11, 76)(12, 54)(13, 60)(14, 78)(15, 63)(16, 55)(17, 57)(18, 77)(19, 75)(20, 58)(21, 64)(22, 68)(23, 61)(24, 72)(25, 65)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.223
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y1^-1 * Y2^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y1 * Y3^-6, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 9, 35, 15, 41, 17, 43, 23, 49, 20, 46, 21, 47, 12, 38, 13, 39, 4, 30, 5, 31)(3, 29, 8, 34, 11, 37, 16, 42, 19, 45, 24, 50, 26, 52, 25, 51, 22, 48, 18, 44, 14, 40, 10, 36, 6, 32)(53, 79, 55, 81, 54, 80, 60, 86, 59, 85, 63, 89, 61, 87, 68, 94, 67, 93, 71, 97, 69, 95, 76, 102, 75, 101, 78, 104, 72, 98, 77, 103, 73, 99, 74, 100, 64, 90, 70, 96, 65, 91, 66, 92, 56, 82, 62, 88, 57, 83, 58, 84)
	L = (1, 56)(2, 57)(3, 62)(4, 64)(5, 65)(6, 66)(7, 53)(8, 58)(9, 54)(10, 70)(11, 55)(12, 72)(13, 73)(14, 74)(15, 59)(16, 60)(17, 61)(18, 77)(19, 63)(20, 69)(21, 75)(22, 78)(23, 67)(24, 68)(25, 76)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.227
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1^-2 * Y3, (R * Y3)^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y3 * Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y3, Y1^-1 * Y3^-6, (Y3^-1 * Y1^-1)^13, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 8, 34, 12, 38, 16, 42, 20, 46, 23, 49, 22, 48, 15, 41, 14, 40, 7, 33, 5, 31)(3, 29, 6, 32, 9, 35, 13, 39, 17, 43, 21, 47, 24, 50, 26, 52, 25, 51, 19, 45, 18, 44, 11, 37, 10, 36)(53, 79, 55, 81, 57, 83, 62, 88, 59, 85, 63, 89, 66, 92, 70, 96, 67, 93, 71, 97, 74, 100, 77, 103, 75, 101, 78, 104, 72, 98, 76, 102, 68, 94, 73, 99, 64, 90, 69, 95, 60, 86, 65, 91, 56, 82, 61, 87, 54, 80, 58, 84)
	L = (1, 56)(2, 60)(3, 61)(4, 64)(5, 54)(6, 65)(7, 53)(8, 68)(9, 69)(10, 58)(11, 55)(12, 72)(13, 73)(14, 57)(15, 59)(16, 75)(17, 76)(18, 62)(19, 63)(20, 74)(21, 78)(22, 66)(23, 67)(24, 77)(25, 70)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.228
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3 * Y3^-1, (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, Y2 * Y3 * Y2^3, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3, Y1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 13, 39, 17, 43, 23, 49, 21, 47, 20, 46, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 24, 50, 14, 40, 25, 51, 22, 48, 26, 52, 19, 45, 6, 32, 11, 37, 16, 42, 18, 44, 15, 41)(53, 79, 55, 81, 65, 91, 74, 100, 59, 85, 68, 94, 60, 86, 76, 102, 75, 101, 71, 97, 57, 83, 67, 93, 62, 88, 77, 103, 72, 98, 63, 89, 54, 80, 61, 87, 69, 95, 78, 104, 64, 90, 70, 96, 56, 82, 66, 92, 73, 99, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 60)(6, 70)(7, 53)(8, 65)(9, 77)(10, 75)(11, 67)(12, 54)(13, 73)(14, 78)(15, 76)(16, 55)(17, 72)(18, 61)(19, 68)(20, 57)(21, 64)(22, 58)(23, 59)(24, 74)(25, 71)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.230
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1 * Y1^-1, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3), (R * Y2)^2, Y3 * Y2^4, Y1^-2 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y2^2 * Y1^2 * Y3^-1, Y1 * Y3^-4 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 21, 47, 23, 49, 17, 43, 13, 39, 18, 44, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 19, 45, 16, 42, 20, 46, 6, 32, 11, 37, 24, 50, 22, 48, 26, 52, 14, 40, 25, 51, 15, 41)(53, 79, 55, 81, 65, 91, 74, 100, 59, 85, 68, 94, 62, 88, 77, 103, 75, 101, 63, 89, 54, 80, 61, 87, 70, 96, 78, 104, 64, 90, 72, 98, 57, 83, 67, 93, 69, 95, 76, 102, 60, 86, 71, 97, 56, 82, 66, 92, 73, 99, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 57)(9, 77)(10, 65)(11, 68)(12, 54)(13, 73)(14, 76)(15, 78)(16, 55)(17, 64)(18, 75)(19, 67)(20, 61)(21, 60)(22, 58)(23, 59)(24, 72)(25, 74)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.229
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y2^3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-5, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 22, 48, 18, 44, 9, 35, 13, 39, 17, 43, 25, 51, 20, 46, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 26, 52, 21, 47, 12, 38, 5, 31, 8, 34, 16, 42, 24, 50, 19, 45, 10, 36)(53, 79, 55, 81, 61, 87, 64, 90, 56, 82, 62, 88, 70, 96, 73, 99, 63, 89, 71, 97, 74, 100, 78, 104, 72, 98, 76, 102, 66, 92, 75, 101, 77, 103, 68, 94, 58, 84, 67, 93, 69, 95, 60, 86, 54, 80, 59, 85, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 65)(10, 55)(11, 56)(12, 57)(13, 69)(14, 74)(15, 75)(16, 76)(17, 77)(18, 61)(19, 62)(20, 63)(21, 64)(22, 70)(23, 78)(24, 71)(25, 72)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.222
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2), (Y2^-1, Y1^-1), Y1^-1 * Y2^2 * Y1^-2, Y2^-2 * Y3^-1 * Y2^-2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 12, 38, 24, 50, 19, 45, 7, 33, 4, 30, 10, 36, 23, 49, 20, 46, 17, 43, 5, 31)(3, 29, 9, 35, 22, 48, 21, 47, 16, 42, 26, 52, 15, 41, 13, 39, 25, 51, 18, 44, 6, 32, 11, 37, 14, 40)(53, 79, 55, 81, 64, 90, 73, 99, 59, 85, 67, 93, 75, 101, 70, 96, 57, 83, 66, 92, 60, 86, 74, 100, 71, 97, 78, 104, 62, 88, 77, 103, 69, 95, 63, 89, 54, 80, 61, 87, 76, 102, 68, 94, 56, 82, 65, 91, 72, 98, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 54)(5, 59)(6, 68)(7, 53)(8, 75)(9, 77)(10, 60)(11, 78)(12, 72)(13, 61)(14, 67)(15, 55)(16, 63)(17, 71)(18, 73)(19, 57)(20, 76)(21, 58)(22, 70)(23, 64)(24, 69)(25, 74)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.231
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y2, Y3), (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y2^4 * Y3, Y1 * Y2^2 * Y1^2, Y2^2 * Y3 * Y2^2, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 20, 46, 25, 51, 16, 42, 4, 30, 7, 33, 11, 37, 23, 49, 12, 38, 18, 44, 5, 31)(3, 29, 9, 35, 19, 45, 6, 32, 10, 36, 22, 48, 13, 39, 15, 41, 24, 50, 17, 43, 21, 47, 26, 52, 14, 40)(53, 79, 55, 81, 64, 90, 73, 99, 59, 85, 67, 93, 77, 103, 62, 88, 54, 80, 61, 87, 70, 96, 78, 104, 63, 89, 76, 102, 68, 94, 74, 100, 60, 86, 71, 97, 57, 83, 66, 92, 75, 101, 69, 95, 56, 82, 65, 91, 72, 98, 58, 84)
	L = (1, 56)(2, 59)(3, 65)(4, 57)(5, 68)(6, 69)(7, 53)(8, 63)(9, 67)(10, 73)(11, 54)(12, 72)(13, 66)(14, 74)(15, 55)(16, 70)(17, 71)(18, 77)(19, 76)(20, 75)(21, 58)(22, 78)(23, 60)(24, 61)(25, 64)(26, 62)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.232
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2), Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2^-1, (Y3^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, Y2 * Y3^-1 * Y1^-1 * Y2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1^2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 19, 45, 7, 33, 12, 38, 16, 42, 4, 30, 10, 36, 21, 47, 17, 43, 5, 31)(3, 29, 9, 35, 22, 48, 18, 44, 6, 32, 11, 37, 23, 49, 25, 51, 13, 39, 20, 46, 24, 50, 26, 52, 14, 40)(53, 79, 55, 81, 62, 88, 72, 98, 59, 85, 63, 89, 54, 80, 61, 87, 73, 99, 76, 102, 64, 90, 75, 101, 60, 86, 74, 100, 69, 95, 78, 104, 68, 94, 77, 103, 67, 93, 70, 96, 57, 83, 66, 92, 56, 82, 65, 91, 71, 97, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 66)(7, 53)(8, 73)(9, 72)(10, 71)(11, 55)(12, 54)(13, 70)(14, 77)(15, 69)(16, 60)(17, 64)(18, 78)(19, 57)(20, 58)(21, 59)(22, 76)(23, 61)(24, 63)(25, 74)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.226
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2, Y3^-1 * Y1 * Y3^-2 * Y1, Y1^2 * Y3 * Y1 * Y3, (Y1^2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 13, 39, 4, 30, 10, 36, 19, 45, 7, 33, 12, 38, 17, 43, 18, 44, 5, 31)(3, 29, 9, 35, 22, 48, 26, 52, 20, 46, 14, 40, 24, 50, 25, 51, 16, 42, 6, 32, 11, 37, 23, 49, 15, 41)(53, 79, 55, 81, 65, 91, 72, 98, 59, 85, 68, 94, 57, 83, 67, 93, 73, 99, 78, 104, 71, 97, 77, 103, 70, 96, 75, 101, 60, 86, 74, 100, 62, 88, 76, 102, 69, 95, 63, 89, 54, 80, 61, 87, 56, 82, 66, 92, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 65)(6, 61)(7, 53)(8, 71)(9, 76)(10, 70)(11, 74)(12, 54)(13, 64)(14, 63)(15, 72)(16, 55)(17, 60)(18, 73)(19, 57)(20, 58)(21, 59)(22, 77)(23, 78)(24, 75)(25, 67)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.225
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, (Y1^-1 * Y2)^2, (Y1^-1, Y3), (Y3^-1, Y2^-1), (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y2, Y2 * Y1 * Y3^2 * Y2, Y3 * Y1^2 * Y3 * Y1, Y1^5 * Y3^-1, Y2^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 22, 48, 16, 42, 4, 30, 10, 36, 20, 46, 7, 33, 12, 38, 15, 41, 18, 44, 5, 31)(3, 29, 9, 35, 23, 49, 17, 43, 25, 51, 13, 39, 21, 47, 26, 52, 14, 40, 24, 50, 19, 45, 6, 32, 11, 37)(53, 79, 55, 81, 60, 86, 75, 101, 68, 94, 77, 103, 62, 88, 73, 99, 59, 85, 66, 92, 67, 93, 71, 97, 57, 83, 63, 89, 54, 80, 61, 87, 74, 100, 69, 95, 56, 82, 65, 91, 72, 98, 78, 104, 64, 90, 76, 102, 70, 96, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 69)(7, 53)(8, 72)(9, 73)(10, 70)(11, 77)(12, 54)(13, 71)(14, 55)(15, 60)(16, 64)(17, 66)(18, 74)(19, 75)(20, 57)(21, 58)(22, 59)(23, 78)(24, 61)(25, 76)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.152
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2^-1), (Y2 * Y1)^2, (Y3, Y2), Y2^-2 * Y1^-2, (R * Y2)^2, (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^2 * Y1, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y3^-2 * Y2 * Y3^-1 * Y2, Y2^-2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 20, 46, 7, 33, 12, 38, 18, 44, 4, 30, 10, 36, 22, 48, 13, 39, 5, 31)(3, 29, 9, 35, 6, 32, 11, 37, 23, 49, 16, 42, 25, 51, 21, 47, 14, 40, 24, 50, 19, 45, 26, 52, 15, 41)(53, 79, 55, 81, 65, 91, 78, 104, 62, 88, 76, 102, 70, 96, 73, 99, 59, 85, 68, 94, 69, 95, 63, 89, 54, 80, 61, 87, 57, 83, 67, 93, 74, 100, 71, 97, 56, 82, 66, 92, 64, 90, 77, 103, 72, 98, 75, 101, 60, 86, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 74)(9, 76)(10, 72)(11, 78)(12, 54)(13, 64)(14, 63)(15, 73)(16, 55)(17, 65)(18, 60)(19, 68)(20, 57)(21, 58)(22, 59)(23, 67)(24, 75)(25, 61)(26, 77)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.146
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, Y3^2 * Y1^-1 * Y3, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, Y3^-1 * Y1^-4, Y3^-2 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 7, 33, 11, 37, 21, 47, 24, 50, 14, 40, 4, 30, 10, 36, 16, 42, 5, 31)(3, 29, 9, 35, 20, 46, 19, 45, 13, 39, 23, 49, 26, 52, 25, 51, 15, 41, 12, 38, 22, 48, 17, 43, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 72, 98, 70, 96, 71, 97, 59, 85, 65, 91, 63, 89, 75, 101, 73, 99, 78, 104, 76, 102, 77, 103, 66, 92, 67, 93, 56, 82, 64, 90, 62, 88, 74, 100, 68, 94, 69, 95, 57, 83, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 63)(5, 66)(6, 67)(7, 53)(8, 68)(9, 74)(10, 73)(11, 54)(12, 75)(13, 55)(14, 59)(15, 65)(16, 76)(17, 77)(18, 57)(19, 58)(20, 69)(21, 60)(22, 78)(23, 61)(24, 70)(25, 71)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.153
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (Y3^-1, Y2^-1), Y3^3 * Y1, (Y3^-1, Y2^-1), (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-4 * Y3, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 4, 30, 9, 35, 20, 46, 25, 51, 15, 41, 7, 33, 11, 37, 18, 44, 5, 31)(3, 29, 6, 32, 10, 36, 21, 47, 12, 38, 17, 43, 22, 48, 26, 52, 24, 50, 14, 40, 19, 45, 23, 49, 13, 39)(53, 79, 55, 81, 57, 83, 65, 91, 70, 96, 75, 101, 63, 89, 71, 97, 59, 85, 66, 92, 67, 93, 76, 102, 77, 103, 78, 104, 72, 98, 74, 100, 61, 87, 69, 95, 56, 82, 64, 90, 68, 94, 73, 99, 60, 86, 62, 88, 54, 80, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 72)(9, 59)(10, 74)(11, 54)(12, 76)(13, 73)(14, 55)(15, 57)(16, 77)(17, 66)(18, 60)(19, 58)(20, 63)(21, 78)(22, 71)(23, 62)(24, 65)(25, 70)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.151
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, (Y1^-1, Y2), Y2 * Y1 * Y2 * Y3^-1, Y2^-2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^5 * Y2^-2, Y3 * Y1^-1 * Y2^24 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 23, 49, 12, 38, 4, 30, 7, 33, 11, 37, 20, 46, 25, 51, 16, 42, 5, 31)(3, 29, 9, 35, 17, 43, 21, 47, 26, 52, 22, 48, 13, 39, 15, 41, 6, 32, 10, 36, 19, 45, 24, 50, 14, 40)(53, 79, 55, 81, 64, 90, 74, 100, 77, 103, 71, 97, 60, 86, 69, 95, 59, 85, 67, 93, 57, 83, 66, 92, 75, 101, 78, 104, 72, 98, 62, 88, 54, 80, 61, 87, 56, 82, 65, 91, 68, 94, 76, 102, 70, 96, 73, 99, 63, 89, 58, 84)
	L = (1, 56)(2, 59)(3, 65)(4, 57)(5, 64)(6, 61)(7, 53)(8, 63)(9, 67)(10, 69)(11, 54)(12, 68)(13, 66)(14, 74)(15, 55)(16, 75)(17, 58)(18, 72)(19, 73)(20, 60)(21, 62)(22, 76)(23, 77)(24, 78)(25, 70)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.147
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (Y1^-1, Y2^-1), Y2^2 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-5 * Y3^-1 * Y1^-1, (Y1 * Y3)^13, Y2^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 24, 50, 16, 42, 7, 33, 4, 30, 10, 36, 20, 46, 22, 48, 14, 40, 5, 31)(3, 29, 9, 35, 19, 45, 23, 49, 15, 41, 6, 32, 11, 37, 12, 38, 21, 47, 26, 52, 25, 51, 17, 43, 13, 39)(53, 79, 55, 81, 62, 88, 73, 99, 70, 96, 75, 101, 66, 92, 69, 95, 59, 85, 63, 89, 54, 80, 61, 87, 72, 98, 78, 104, 76, 102, 67, 93, 57, 83, 65, 91, 56, 82, 64, 90, 60, 86, 71, 97, 74, 100, 77, 103, 68, 94, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 54)(5, 59)(6, 65)(7, 53)(8, 72)(9, 73)(10, 60)(11, 55)(12, 61)(13, 63)(14, 68)(15, 69)(16, 57)(17, 58)(18, 74)(19, 78)(20, 70)(21, 71)(22, 76)(23, 77)(24, 66)(25, 67)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.154
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-2 * Y2, Y1^-1 * Y2^4, Y2 * Y3^2 * Y2 * Y3 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 21, 47, 25, 51, 19, 45, 11, 37, 22, 48, 15, 41, 16, 42, 4, 30, 5, 31)(3, 29, 8, 34, 14, 40, 23, 49, 17, 43, 18, 44, 6, 32, 9, 35, 20, 46, 24, 50, 26, 52, 12, 38, 13, 39)(53, 79, 55, 81, 63, 89, 61, 87, 54, 80, 60, 86, 74, 100, 72, 98, 59, 85, 66, 92, 67, 93, 76, 102, 62, 88, 75, 101, 68, 94, 78, 104, 73, 99, 69, 95, 56, 82, 64, 90, 77, 103, 70, 96, 57, 83, 65, 91, 71, 97, 58, 84)
	L = (1, 56)(2, 57)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 65)(9, 70)(10, 54)(11, 77)(12, 76)(13, 78)(14, 55)(15, 63)(16, 74)(17, 66)(18, 75)(19, 73)(20, 58)(21, 59)(22, 71)(23, 60)(24, 61)(25, 62)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.145
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^2, (R * Y3)^2, (Y2, Y1^-1), (Y2^-1, Y3), (R * Y2)^2, (R * Y1)^2, Y2^2 * Y3^-3, Y2^4 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 15, 41, 23, 49, 11, 37, 19, 45, 25, 51, 21, 47, 18, 44, 7, 33, 5, 31)(3, 29, 8, 34, 12, 38, 22, 48, 26, 52, 20, 46, 17, 43, 6, 32, 10, 36, 16, 42, 24, 50, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 69, 95, 57, 83, 65, 91, 75, 101, 72, 98, 59, 85, 66, 92, 67, 93, 78, 104, 70, 96, 76, 102, 61, 87, 74, 100, 73, 99, 68, 94, 56, 82, 64, 90, 77, 103, 62, 88, 54, 80, 60, 86, 71, 97, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 54)(6, 68)(7, 53)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 60)(14, 55)(15, 63)(16, 66)(17, 62)(18, 57)(19, 73)(20, 58)(21, 59)(22, 72)(23, 71)(24, 65)(25, 70)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.148
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-2 * Y2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^8 * Y1, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 9, 35, 15, 41, 20, 46, 22, 48, 25, 51, 23, 49, 18, 44, 13, 39, 11, 37, 4, 30)(3, 29, 7, 33, 14, 40, 16, 42, 21, 47, 26, 52, 24, 50, 19, 45, 17, 43, 12, 38, 5, 31, 8, 34, 10, 36)(53, 79, 55, 81, 61, 87, 68, 94, 74, 100, 76, 102, 70, 96, 64, 90, 56, 82, 62, 88, 58, 84, 66, 92, 72, 98, 78, 104, 75, 101, 69, 95, 63, 89, 60, 86, 54, 80, 59, 85, 67, 93, 73, 99, 77, 103, 71, 97, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 61)(7, 66)(8, 62)(9, 67)(10, 55)(11, 56)(12, 57)(13, 63)(14, 68)(15, 72)(16, 73)(17, 64)(18, 65)(19, 69)(20, 74)(21, 78)(22, 77)(23, 70)(24, 71)(25, 75)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.150
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), (R * Y1)^2, Y1^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1, Y1), Y1^3 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y3^4 * Y1, Y2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 21, 47, 17, 43, 19, 45, 25, 51, 13, 39, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 20, 46, 14, 40, 6, 32, 11, 37, 22, 48, 18, 44, 24, 50, 26, 52, 16, 42, 23, 49, 15, 41)(53, 79, 55, 81, 65, 91, 78, 104, 73, 99, 63, 89, 54, 80, 61, 87, 59, 85, 68, 94, 69, 95, 74, 100, 60, 86, 72, 98, 64, 90, 75, 101, 71, 97, 70, 96, 56, 82, 66, 92, 57, 83, 67, 93, 77, 103, 76, 102, 62, 88, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 60)(6, 70)(7, 53)(8, 73)(9, 58)(10, 71)(11, 76)(12, 54)(13, 57)(14, 74)(15, 72)(16, 55)(17, 65)(18, 68)(19, 59)(20, 63)(21, 77)(22, 78)(23, 61)(24, 75)(25, 64)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.155
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1^-3, (R * Y2)^2, (R * Y1)^2, (Y1, Y3), (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2), Y3^-1 * Y1 * Y3^-3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 22, 48, 19, 45, 15, 41, 24, 50, 16, 42, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 20, 46, 14, 40, 23, 49, 26, 52, 17, 43, 25, 51, 18, 44, 6, 32, 11, 37, 21, 47, 13, 39)(53, 79, 55, 81, 64, 90, 75, 101, 76, 102, 70, 96, 57, 83, 65, 91, 59, 85, 66, 92, 67, 93, 77, 103, 62, 88, 73, 99, 60, 86, 72, 98, 71, 97, 69, 95, 56, 82, 63, 89, 54, 80, 61, 87, 74, 100, 78, 104, 68, 94, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 67)(5, 68)(6, 69)(7, 53)(8, 57)(9, 73)(10, 76)(11, 77)(12, 54)(13, 58)(14, 55)(15, 64)(16, 71)(17, 66)(18, 78)(19, 59)(20, 65)(21, 70)(22, 60)(23, 61)(24, 74)(25, 75)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.149
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, (Y2, Y1^-1), (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2^-2, (R * Y2)^2, (Y3, Y2^-1), Y3 * Y1 * Y3^2 * Y1, Y3^3 * Y2^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-2 * Y1^-1 * Y3^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 20, 46, 7, 33, 12, 38, 16, 42, 4, 30, 10, 36, 22, 48, 18, 44, 5, 31)(3, 29, 9, 35, 23, 49, 21, 47, 26, 52, 14, 40, 17, 43, 25, 51, 13, 39, 24, 50, 19, 45, 6, 32, 11, 37)(53, 79, 55, 81, 60, 86, 75, 101, 72, 98, 78, 104, 64, 90, 69, 95, 56, 82, 65, 91, 74, 100, 71, 97, 57, 83, 63, 89, 54, 80, 61, 87, 67, 93, 73, 99, 59, 85, 66, 92, 68, 94, 77, 103, 62, 88, 76, 102, 70, 96, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 69)(7, 53)(8, 74)(9, 76)(10, 72)(11, 77)(12, 54)(13, 73)(14, 55)(15, 70)(16, 60)(17, 61)(18, 64)(19, 66)(20, 57)(21, 58)(22, 59)(23, 71)(24, 78)(25, 75)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.164
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^3 * Y3^2, Y2^-2 * Y3^-3, Y3 * Y1 * Y3 * Y2^-2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 22, 48, 18, 44, 4, 30, 10, 36, 20, 46, 7, 33, 12, 38, 17, 43, 13, 39, 5, 31)(3, 29, 9, 35, 6, 32, 11, 37, 23, 49, 14, 40, 24, 50, 19, 45, 16, 42, 25, 51, 21, 47, 26, 52, 15, 41)(53, 79, 55, 81, 65, 91, 78, 104, 64, 90, 77, 103, 72, 98, 71, 97, 56, 82, 66, 92, 74, 100, 63, 89, 54, 80, 61, 87, 57, 83, 67, 93, 69, 95, 73, 99, 59, 85, 68, 94, 62, 88, 76, 102, 70, 96, 75, 101, 60, 86, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 72)(9, 76)(10, 65)(11, 68)(12, 54)(13, 74)(14, 73)(15, 75)(16, 55)(17, 60)(18, 64)(19, 67)(20, 57)(21, 58)(22, 59)(23, 77)(24, 78)(25, 61)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.157
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, Y3^-1 * Y1^-1 * Y3^-2, Y3^-3 * Y1^-1, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^2, Y3 * Y1^-4, 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 4, 30, 10, 36, 21, 47, 24, 50, 14, 40, 7, 33, 11, 37, 17, 43, 5, 31)(3, 29, 9, 35, 20, 46, 16, 42, 12, 38, 22, 48, 26, 52, 25, 51, 19, 45, 13, 39, 23, 49, 18, 44, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 72, 98, 67, 93, 68, 94, 56, 82, 64, 90, 62, 88, 74, 100, 73, 99, 78, 104, 76, 102, 77, 103, 66, 92, 71, 97, 59, 85, 65, 91, 63, 89, 75, 101, 69, 95, 70, 96, 57, 83, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 66)(5, 67)(6, 68)(7, 53)(8, 73)(9, 74)(10, 59)(11, 54)(12, 71)(13, 55)(14, 57)(15, 76)(16, 77)(17, 60)(18, 72)(19, 58)(20, 78)(21, 63)(22, 65)(23, 61)(24, 69)(25, 70)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.165
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^3 * Y1^-1, Y3^3 * Y1^-1, (Y3, Y1), (R * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^2 * Y2 * Y1^-1, Y3^-1 * Y1^-4, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 7, 33, 11, 37, 21, 47, 25, 51, 15, 41, 4, 30, 9, 35, 17, 43, 5, 31)(3, 29, 6, 32, 10, 36, 20, 46, 14, 40, 19, 45, 23, 49, 26, 52, 24, 50, 12, 38, 16, 42, 22, 48, 13, 39)(53, 79, 55, 81, 57, 83, 65, 91, 69, 95, 74, 100, 61, 87, 68, 94, 56, 82, 64, 90, 67, 93, 76, 102, 77, 103, 78, 104, 73, 99, 75, 101, 63, 89, 71, 97, 59, 85, 66, 92, 70, 96, 72, 98, 60, 86, 62, 88, 54, 80, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 63)(5, 67)(6, 68)(7, 53)(8, 69)(9, 73)(10, 74)(11, 54)(12, 71)(13, 76)(14, 55)(15, 59)(16, 75)(17, 77)(18, 57)(19, 58)(20, 65)(21, 60)(22, 78)(23, 62)(24, 66)(25, 70)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.156
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2 * Y3 * Y2 * Y1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2, Y1^-1), Y1 * Y2^2 * Y3, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y1^-1 * Y3^-1 * Y1^3, Y1^2 * Y3 * Y1^4, Y1^2 * Y2^-1 * Y1^3 * Y2^-1, Y1 * Y2^-2 * Y1^2 * Y2^-2 * Y1^2 * Y2^-2 * Y1^2 * Y2^-2 * Y1^2 * Y2^-2 * Y3 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 23, 49, 12, 38, 7, 33, 4, 30, 10, 36, 19, 45, 25, 51, 17, 43, 5, 31)(3, 29, 9, 35, 16, 42, 21, 47, 26, 52, 22, 48, 15, 41, 13, 39, 6, 32, 11, 37, 20, 46, 24, 50, 14, 40)(53, 79, 55, 81, 64, 90, 74, 100, 77, 103, 72, 98, 60, 86, 68, 94, 56, 82, 65, 91, 57, 83, 66, 92, 75, 101, 78, 104, 71, 97, 63, 89, 54, 80, 61, 87, 59, 85, 67, 93, 69, 95, 76, 102, 70, 96, 73, 99, 62, 88, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 54)(5, 59)(6, 68)(7, 53)(8, 71)(9, 58)(10, 60)(11, 73)(12, 57)(13, 61)(14, 67)(15, 55)(16, 63)(17, 64)(18, 77)(19, 70)(20, 78)(21, 72)(22, 66)(23, 69)(24, 74)(25, 75)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.161
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y2^2 * Y1^-1 * Y3, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1^-5, Y1 * Y3^-1 * Y2^24 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 22, 48, 14, 40, 4, 30, 7, 33, 11, 37, 20, 46, 24, 50, 16, 42, 5, 31)(3, 29, 9, 35, 19, 45, 25, 51, 17, 43, 6, 32, 10, 36, 13, 39, 21, 47, 26, 52, 23, 49, 15, 41, 12, 38)(53, 79, 55, 81, 63, 89, 73, 99, 70, 96, 77, 103, 68, 94, 67, 93, 56, 82, 62, 88, 54, 80, 61, 87, 72, 98, 78, 104, 74, 100, 69, 95, 57, 83, 64, 90, 59, 85, 65, 91, 60, 86, 71, 97, 76, 102, 75, 101, 66, 92, 58, 84)
	L = (1, 56)(2, 59)(3, 62)(4, 57)(5, 66)(6, 67)(7, 53)(8, 63)(9, 65)(10, 64)(11, 54)(12, 58)(13, 55)(14, 68)(15, 69)(16, 74)(17, 75)(18, 72)(19, 73)(20, 60)(21, 61)(22, 76)(23, 77)(24, 70)(25, 78)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.160
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, (Y1, Y2), (R * Y2)^2, Y3 * Y2 * Y3^2 * Y2, Y2^-2 * Y1 * Y2^-2, (Y3^-1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 15, 41, 24, 50, 19, 45, 11, 37, 22, 48, 21, 47, 18, 44, 7, 33, 5, 31)(3, 29, 8, 34, 12, 38, 23, 49, 20, 46, 17, 43, 6, 32, 10, 36, 16, 42, 25, 51, 26, 52, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 62, 88, 54, 80, 60, 86, 74, 100, 68, 94, 56, 82, 64, 90, 73, 99, 77, 103, 61, 87, 75, 101, 70, 96, 78, 104, 67, 93, 72, 98, 59, 85, 66, 92, 76, 102, 69, 95, 57, 83, 65, 91, 71, 97, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 54)(6, 68)(7, 53)(8, 75)(9, 76)(10, 77)(11, 73)(12, 72)(13, 60)(14, 55)(15, 71)(16, 78)(17, 62)(18, 57)(19, 74)(20, 58)(21, 59)(22, 70)(23, 69)(24, 63)(25, 66)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.158
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1, Y3^-1 * Y1^-2, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y1)^2, Y3^2 * Y2^2 * Y3, Y2 * Y3 * Y2 * Y3^2, Y2^4 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3^2 * Y2^-1, (Y3 * Y2 * Y1^-1)^2, Y2^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 21, 47, 25, 51, 11, 37, 19, 45, 23, 49, 15, 41, 16, 42, 4, 30, 5, 31)(3, 29, 8, 34, 14, 40, 22, 48, 26, 52, 17, 43, 18, 44, 6, 32, 9, 35, 20, 46, 24, 50, 12, 38, 13, 39)(53, 79, 55, 81, 63, 89, 70, 96, 57, 83, 65, 91, 77, 103, 69, 95, 56, 82, 64, 90, 73, 99, 78, 104, 68, 94, 76, 102, 62, 88, 74, 100, 67, 93, 72, 98, 59, 85, 66, 92, 75, 101, 61, 87, 54, 80, 60, 86, 71, 97, 58, 84)
	L = (1, 56)(2, 57)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 65)(9, 70)(10, 54)(11, 73)(12, 72)(13, 76)(14, 55)(15, 71)(16, 75)(17, 74)(18, 78)(19, 77)(20, 58)(21, 59)(22, 60)(23, 63)(24, 61)(25, 62)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.163
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1 * Y2 * Y1^2 * Y2, (R * Y2 * Y3^-1)^2, Y2^-8 * Y1, (Y3^-1 * Y1^-1)^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 13, 39, 15, 41, 20, 46, 25, 51, 22, 48, 24, 50, 17, 43, 9, 35, 11, 37, 4, 30)(3, 29, 7, 33, 12, 38, 5, 31, 8, 34, 14, 40, 19, 45, 21, 47, 26, 52, 23, 49, 16, 42, 18, 44, 10, 36)(53, 79, 55, 81, 61, 87, 68, 94, 74, 100, 73, 99, 67, 93, 60, 86, 54, 80, 59, 85, 63, 89, 70, 96, 76, 102, 78, 104, 72, 98, 66, 92, 58, 84, 64, 90, 56, 82, 62, 88, 69, 95, 75, 101, 77, 103, 71, 97, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 65)(7, 64)(8, 66)(9, 63)(10, 55)(11, 56)(12, 57)(13, 67)(14, 71)(15, 72)(16, 70)(17, 61)(18, 62)(19, 73)(20, 77)(21, 78)(22, 76)(23, 68)(24, 69)(25, 74)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.166
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (Y3^-1, Y2^-1), Y2 * Y3^-1 * Y1 * Y2, (Y2^-1, Y1^-1), Y2 * Y1 * Y3^-1 * Y2, Y2 * Y3^-1 * Y2 * Y1, (R * Y1)^2, (R * Y2)^2, Y1^-2 * Y3^-1 * Y1^-1, (R * Y3)^2, Y2^-2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 22, 48, 19, 45, 17, 43, 24, 50, 13, 39, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 20, 46, 16, 42, 6, 32, 11, 37, 21, 47, 18, 44, 25, 51, 26, 52, 14, 40, 23, 49, 15, 41)(53, 79, 55, 81, 65, 91, 78, 104, 74, 100, 63, 89, 54, 80, 61, 87, 56, 82, 66, 92, 71, 97, 73, 99, 60, 86, 72, 98, 62, 88, 75, 101, 69, 95, 70, 96, 59, 85, 68, 94, 57, 83, 67, 93, 76, 102, 77, 103, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 65)(6, 61)(7, 53)(8, 57)(9, 75)(10, 76)(11, 72)(12, 54)(13, 71)(14, 70)(15, 78)(16, 55)(17, 64)(18, 58)(19, 59)(20, 67)(21, 68)(22, 60)(23, 77)(24, 74)(25, 63)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.159
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), Y2^2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y1, (Y3^-1, Y2^-1), Y1^-1 * Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3^2, (Y1 * Y3)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 21, 47, 15, 41, 19, 45, 25, 51, 17, 43, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 20, 46, 13, 39, 23, 49, 26, 52, 18, 44, 24, 50, 16, 42, 6, 32, 11, 37, 22, 48, 14, 40)(53, 79, 55, 81, 62, 88, 75, 101, 77, 103, 68, 94, 57, 83, 66, 92, 56, 82, 65, 91, 71, 97, 76, 102, 64, 90, 74, 100, 60, 86, 72, 98, 67, 93, 70, 96, 59, 85, 63, 89, 54, 80, 61, 87, 73, 99, 78, 104, 69, 95, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 60)(6, 66)(7, 53)(8, 73)(9, 75)(10, 71)(11, 55)(12, 54)(13, 70)(14, 72)(15, 69)(16, 74)(17, 57)(18, 58)(19, 59)(20, 78)(21, 77)(22, 61)(23, 76)(24, 63)(25, 64)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.162
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, Y1^-2 * Y2^2, (Y1, Y2^-1), (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-6 * Y3, Y1^26, Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 23, 49, 14, 40, 4, 30, 7, 33, 11, 37, 21, 47, 25, 51, 16, 42, 5, 31)(3, 29, 9, 35, 20, 46, 24, 50, 15, 41, 18, 44, 12, 38, 13, 39, 22, 48, 26, 52, 17, 43, 6, 32, 10, 36)(53, 79, 55, 81, 60, 86, 72, 98, 75, 101, 67, 93, 56, 82, 64, 90, 63, 89, 74, 100, 77, 103, 69, 95, 57, 83, 62, 88, 54, 80, 61, 87, 71, 97, 76, 102, 66, 92, 70, 96, 59, 85, 65, 91, 73, 99, 78, 104, 68, 94, 58, 84)
	L = (1, 56)(2, 59)(3, 64)(4, 57)(5, 66)(6, 67)(7, 53)(8, 63)(9, 65)(10, 70)(11, 54)(12, 62)(13, 55)(14, 68)(15, 69)(16, 75)(17, 76)(18, 58)(19, 73)(20, 74)(21, 60)(22, 61)(23, 77)(24, 78)(25, 71)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.195
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y2^-2 * Y1^-2, (Y1, Y2), (R * Y2)^2, (Y2, Y3), (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-2, Y1 * Y3 * Y1^3 * Y2^-2, Y2^-3 * Y3 * Y2^-3, Y2^-2 * Y1^3 * Y3 * Y1, Y2 * Y1^2 * Y3 * Y2^2 * Y1^2 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 25, 51, 17, 43, 7, 33, 4, 30, 10, 36, 20, 46, 24, 50, 12, 38, 5, 31)(3, 29, 9, 35, 6, 32, 11, 37, 21, 47, 26, 52, 15, 41, 13, 39, 18, 44, 16, 42, 22, 48, 23, 49, 14, 40)(53, 79, 55, 81, 64, 90, 75, 101, 72, 98, 68, 94, 56, 82, 65, 91, 69, 95, 78, 104, 71, 97, 63, 89, 54, 80, 61, 87, 57, 83, 66, 92, 76, 102, 74, 100, 62, 88, 70, 96, 59, 85, 67, 93, 77, 103, 73, 99, 60, 86, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 54)(5, 59)(6, 68)(7, 53)(8, 72)(9, 70)(10, 60)(11, 74)(12, 69)(13, 61)(14, 67)(15, 55)(16, 63)(17, 57)(18, 58)(19, 76)(20, 71)(21, 75)(22, 73)(23, 78)(24, 77)(25, 64)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.190
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2^2, Y1 * Y3^-1 * Y1^2, (Y1^-1, Y3^-1), Y3^-1 * Y1^3, (Y3^-1, Y1^-1), (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y1^-1 * Y3^-2, (Y1^2 * Y3)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 20, 46, 14, 40, 19, 45, 22, 48, 17, 43, 7, 33, 11, 37, 5, 31)(3, 29, 9, 35, 15, 41, 12, 38, 21, 47, 25, 51, 23, 49, 24, 50, 26, 52, 18, 44, 13, 39, 16, 42, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 67, 93, 56, 82, 64, 90, 62, 88, 73, 99, 72, 98, 77, 103, 66, 92, 75, 101, 71, 97, 76, 102, 74, 100, 78, 104, 69, 95, 70, 96, 59, 85, 65, 91, 63, 89, 68, 94, 57, 83, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 66)(5, 60)(6, 67)(7, 53)(8, 72)(9, 73)(10, 71)(11, 54)(12, 75)(13, 55)(14, 69)(15, 77)(16, 61)(17, 57)(18, 58)(19, 59)(20, 74)(21, 76)(22, 63)(23, 70)(24, 65)(25, 78)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.189
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2, Y3^-1 * Y1^-3, (Y2^-1, Y3^-1), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3^-3, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 11, 37, 20, 46, 19, 45, 15, 41, 21, 47, 16, 42, 4, 30, 9, 35, 5, 31)(3, 29, 6, 32, 10, 36, 14, 40, 18, 44, 22, 48, 25, 51, 23, 49, 26, 52, 24, 50, 12, 38, 17, 43, 13, 39)(53, 79, 55, 81, 57, 83, 65, 91, 61, 87, 69, 95, 56, 82, 64, 90, 68, 94, 76, 102, 73, 99, 78, 104, 67, 93, 75, 101, 71, 97, 77, 103, 72, 98, 74, 100, 63, 89, 70, 96, 59, 85, 66, 92, 60, 86, 62, 88, 54, 80, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 57)(9, 73)(10, 65)(11, 54)(12, 75)(13, 76)(14, 55)(15, 63)(16, 71)(17, 78)(18, 58)(19, 59)(20, 60)(21, 72)(22, 62)(23, 70)(24, 77)(25, 66)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.199
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2, Y3), (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2^-2 * Y1, Y3^3 * Y2 * Y3 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-2, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 15, 41, 11, 37, 22, 48, 25, 51, 19, 45, 21, 47, 18, 44, 7, 33, 5, 31)(3, 29, 8, 34, 12, 38, 23, 49, 26, 52, 24, 50, 20, 46, 17, 43, 6, 32, 10, 36, 16, 42, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 76, 102, 70, 96, 68, 94, 56, 82, 64, 90, 77, 103, 69, 95, 57, 83, 65, 91, 67, 93, 78, 104, 73, 99, 62, 88, 54, 80, 60, 86, 74, 100, 72, 98, 59, 85, 66, 92, 61, 87, 75, 101, 71, 97, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 54)(6, 68)(7, 53)(8, 75)(9, 63)(10, 66)(11, 77)(12, 78)(13, 60)(14, 55)(15, 74)(16, 65)(17, 62)(18, 57)(19, 70)(20, 58)(21, 59)(22, 71)(23, 76)(24, 69)(25, 73)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.198
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y1)^2, Y3^2 * Y2^-2 * Y1^-1, Y2^-2 * Y3^-4, Y2^26, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 21, 47, 19, 45, 22, 48, 24, 50, 11, 37, 15, 41, 16, 42, 4, 30, 5, 31)(3, 29, 8, 34, 14, 40, 17, 43, 18, 44, 6, 32, 9, 35, 20, 46, 23, 49, 25, 51, 26, 52, 12, 38, 13, 39)(53, 79, 55, 81, 63, 89, 75, 101, 62, 88, 69, 95, 56, 82, 64, 90, 74, 100, 61, 87, 54, 80, 60, 86, 67, 93, 77, 103, 73, 99, 70, 96, 57, 83, 65, 91, 76, 102, 72, 98, 59, 85, 66, 92, 68, 94, 78, 104, 71, 97, 58, 84)
	L = (1, 56)(2, 57)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 65)(9, 70)(10, 54)(11, 74)(12, 77)(13, 78)(14, 55)(15, 76)(16, 63)(17, 60)(18, 66)(19, 62)(20, 58)(21, 59)(22, 73)(23, 61)(24, 71)(25, 72)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.191
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2^2, Y1 * Y2 * Y3^-1 * Y2, (Y1^-1, Y3), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3^2 * Y1 * Y3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 19, 45, 7, 33, 12, 38, 13, 39, 4, 30, 10, 36, 21, 47, 18, 44, 5, 31)(3, 29, 9, 35, 22, 48, 24, 50, 25, 51, 16, 42, 6, 32, 11, 37, 14, 40, 23, 49, 26, 52, 20, 46, 15, 41)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 56, 82, 66, 92, 60, 86, 74, 100, 62, 88, 75, 101, 69, 95, 76, 102, 73, 99, 78, 104, 71, 97, 77, 103, 70, 96, 72, 98, 59, 85, 68, 94, 57, 83, 67, 93, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 65)(6, 61)(7, 53)(8, 73)(9, 75)(10, 71)(11, 74)(12, 54)(13, 60)(14, 76)(15, 63)(16, 55)(17, 70)(18, 64)(19, 57)(20, 58)(21, 59)(22, 78)(23, 77)(24, 72)(25, 67)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.192
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), Y2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y2 * Y3^-1 * Y2, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y3^-1, (R * Y2)^2, Y1 * Y2^2 * Y3 * Y1, Y2 * Y1^2 * Y3 * Y2, Y3^-1 * Y1^2 * Y3^-2, (Y3 * Y1)^13, Y2^26, (Y3 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 16, 42, 4, 30, 10, 36, 19, 45, 7, 33, 12, 38, 15, 41, 17, 43, 5, 31)(3, 29, 9, 35, 20, 46, 23, 49, 25, 51, 13, 39, 18, 44, 6, 32, 11, 37, 22, 48, 24, 50, 26, 52, 14, 40)(53, 79, 55, 81, 62, 88, 70, 96, 57, 83, 66, 92, 56, 82, 65, 91, 69, 95, 78, 104, 68, 94, 77, 103, 67, 93, 76, 102, 73, 99, 75, 101, 64, 90, 74, 100, 60, 86, 72, 98, 59, 85, 63, 89, 54, 80, 61, 87, 71, 97, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 66)(7, 53)(8, 71)(9, 70)(10, 69)(11, 55)(12, 54)(13, 76)(14, 77)(15, 60)(16, 64)(17, 73)(18, 78)(19, 57)(20, 58)(21, 59)(22, 61)(23, 63)(24, 72)(25, 74)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.194
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1, (Y1^-1, Y3^-1), Y1 * Y3^-3, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y1, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y1^2 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^-1 * Y3 * Y2^-1 * Y3, Y1^26, Y3^-1 * Y2^24 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 13, 39, 7, 33, 12, 38, 21, 47, 25, 51, 17, 43, 4, 30, 10, 36, 19, 45, 5, 31)(3, 29, 9, 35, 20, 46, 24, 50, 16, 42, 22, 48, 18, 44, 23, 49, 26, 52, 14, 40, 6, 32, 11, 37, 15, 41)(53, 79, 55, 81, 65, 91, 76, 102, 73, 99, 70, 96, 56, 82, 66, 92, 57, 83, 67, 93, 60, 86, 72, 98, 64, 90, 74, 100, 69, 95, 78, 104, 71, 97, 63, 89, 54, 80, 61, 87, 59, 85, 68, 94, 77, 103, 75, 101, 62, 88, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 64)(5, 69)(6, 70)(7, 53)(8, 71)(9, 58)(10, 73)(11, 75)(12, 54)(13, 57)(14, 74)(15, 78)(16, 55)(17, 59)(18, 72)(19, 77)(20, 63)(21, 60)(22, 61)(23, 76)(24, 67)(25, 65)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.193
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-2 * Y1 * Y3^-1, Y3 * Y2^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y1 * Y3^3, Y1^3 * Y2^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3^-1 * Y2 * Y1^-1)^2, (Y1 * Y3^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 16, 42, 4, 30, 10, 36, 20, 46, 25, 51, 15, 41, 7, 33, 12, 38, 18, 44, 5, 31)(3, 29, 9, 35, 19, 45, 6, 32, 11, 37, 21, 47, 26, 52, 17, 43, 23, 49, 14, 40, 22, 48, 24, 50, 13, 39)(53, 79, 55, 81, 64, 90, 74, 100, 77, 103, 69, 95, 56, 82, 63, 89, 54, 80, 61, 87, 70, 96, 76, 102, 67, 93, 75, 101, 62, 88, 73, 99, 60, 86, 71, 97, 57, 83, 65, 91, 59, 85, 66, 92, 72, 98, 78, 104, 68, 94, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 67)(5, 68)(6, 69)(7, 53)(8, 72)(9, 73)(10, 59)(11, 75)(12, 54)(13, 58)(14, 55)(15, 57)(16, 77)(17, 76)(18, 60)(19, 78)(20, 64)(21, 66)(22, 61)(23, 65)(24, 71)(25, 70)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.196
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (Y1, Y2^-1), (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y1, Y2^-1 * Y3^-4 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2^-5, Y1 * Y2^-1 * Y3 * Y1^2 * Y2^3, (Y3^-1 * Y1^-1)^13, (Y2^-1 * Y1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 13, 39, 18, 44, 24, 50, 26, 52, 20, 46, 9, 35, 17, 43, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 12, 38, 5, 31, 8, 34, 16, 42, 23, 49, 22, 48, 19, 45, 25, 51, 21, 47, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 77, 103, 76, 102, 68, 94, 58, 84, 67, 93, 63, 89, 73, 99, 78, 104, 75, 101, 66, 92, 64, 90, 56, 82, 62, 88, 72, 98, 74, 100, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 65)(15, 64)(16, 75)(17, 63)(18, 76)(19, 77)(20, 61)(21, 62)(22, 71)(23, 74)(24, 78)(25, 73)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.197
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, (Y1^-1, Y2^-1), Y1^2 * Y2^-2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1^-3 * Y3^-1 * Y1^-1 * Y2^-2, Y3^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2, Y1^-7 * Y3, Y1^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 25, 51, 17, 43, 7, 33, 4, 30, 10, 36, 21, 47, 23, 49, 15, 41, 5, 31)(3, 29, 9, 35, 20, 46, 26, 52, 18, 44, 14, 40, 13, 39, 12, 38, 22, 48, 24, 50, 16, 42, 6, 32, 11, 37)(53, 79, 55, 81, 60, 86, 72, 98, 77, 103, 70, 96, 59, 85, 65, 91, 62, 88, 74, 100, 75, 101, 68, 94, 57, 83, 63, 89, 54, 80, 61, 87, 71, 97, 78, 104, 69, 95, 66, 92, 56, 82, 64, 90, 73, 99, 76, 102, 67, 93, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 54)(5, 59)(6, 66)(7, 53)(8, 73)(9, 74)(10, 60)(11, 65)(12, 61)(13, 55)(14, 63)(15, 69)(16, 70)(17, 57)(18, 58)(19, 75)(20, 76)(21, 71)(22, 72)(23, 77)(24, 78)(25, 67)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.126
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y1^-1, Y2), (Y2, Y3^-1), Y1^-1 * Y2^-2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2^6 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 24, 50, 16, 42, 4, 30, 7, 33, 11, 37, 21, 47, 25, 51, 12, 38, 5, 31)(3, 29, 9, 35, 6, 32, 10, 36, 20, 46, 26, 52, 13, 39, 15, 41, 17, 43, 18, 44, 22, 48, 23, 49, 14, 40)(53, 79, 55, 81, 64, 90, 75, 101, 73, 99, 70, 96, 59, 85, 67, 93, 68, 94, 78, 104, 71, 97, 62, 88, 54, 80, 61, 87, 57, 83, 66, 92, 77, 103, 74, 100, 63, 89, 69, 95, 56, 82, 65, 91, 76, 102, 72, 98, 60, 86, 58, 84)
	L = (1, 56)(2, 59)(3, 65)(4, 57)(5, 68)(6, 69)(7, 53)(8, 63)(9, 67)(10, 70)(11, 54)(12, 76)(13, 66)(14, 78)(15, 55)(16, 64)(17, 61)(18, 58)(19, 73)(20, 74)(21, 60)(22, 62)(23, 72)(24, 77)(25, 71)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.123
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1, Y1 * Y3 * Y1^2, Y3 * Y1^3, (R * Y1)^2, (Y3, Y1), (Y3, Y2), (R * Y3)^2, (R * Y2)^2, Y3^-3 * Y1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 11, 37, 20, 46, 19, 45, 14, 40, 22, 48, 15, 41, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 18, 44, 13, 39, 21, 47, 26, 52, 24, 50, 23, 49, 25, 51, 16, 42, 12, 38, 17, 43, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 70, 96, 59, 85, 65, 91, 63, 89, 73, 99, 72, 98, 78, 104, 71, 97, 76, 102, 66, 92, 75, 101, 74, 100, 77, 103, 67, 93, 68, 94, 56, 82, 64, 90, 62, 88, 69, 95, 57, 83, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 66)(5, 67)(6, 68)(7, 53)(8, 57)(9, 69)(10, 74)(11, 54)(12, 75)(13, 55)(14, 63)(15, 71)(16, 76)(17, 77)(18, 58)(19, 59)(20, 60)(21, 61)(22, 72)(23, 73)(24, 65)(25, 78)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.130
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1, Y1^3 * Y3^-1, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 9, 35, 20, 46, 15, 41, 19, 45, 22, 48, 17, 43, 7, 33, 11, 37, 5, 31)(3, 29, 6, 32, 10, 36, 12, 38, 16, 42, 21, 47, 23, 49, 25, 51, 26, 52, 24, 50, 14, 40, 18, 44, 13, 39)(53, 79, 55, 81, 57, 83, 65, 91, 63, 89, 70, 96, 59, 85, 66, 92, 69, 95, 76, 102, 74, 100, 78, 104, 71, 97, 77, 103, 67, 93, 75, 101, 72, 98, 73, 99, 61, 87, 68, 94, 56, 82, 64, 90, 60, 86, 62, 88, 54, 80, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 60)(6, 68)(7, 53)(8, 72)(9, 71)(10, 73)(11, 54)(12, 75)(13, 62)(14, 55)(15, 69)(16, 77)(17, 57)(18, 58)(19, 59)(20, 74)(21, 78)(22, 63)(23, 76)(24, 65)(25, 66)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.127
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1), (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y2^-2 * Y1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-3 * Y2 * Y3^-1 * Y2, Y3^-19 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 21, 47, 11, 37, 22, 48, 25, 51, 19, 45, 15, 41, 16, 42, 4, 30, 5, 31)(3, 29, 8, 34, 14, 40, 23, 49, 26, 52, 24, 50, 17, 43, 18, 44, 6, 32, 9, 35, 20, 46, 12, 38, 13, 39)(53, 79, 55, 81, 63, 89, 76, 102, 68, 94, 72, 98, 59, 85, 66, 92, 77, 103, 70, 96, 57, 83, 65, 91, 73, 99, 78, 104, 67, 93, 61, 87, 54, 80, 60, 86, 74, 100, 69, 95, 56, 82, 64, 90, 62, 88, 75, 101, 71, 97, 58, 84)
	L = (1, 56)(2, 57)(3, 64)(4, 67)(5, 68)(6, 69)(7, 53)(8, 65)(9, 70)(10, 54)(11, 62)(12, 61)(13, 72)(14, 55)(15, 77)(16, 71)(17, 78)(18, 76)(19, 74)(20, 58)(21, 59)(22, 73)(23, 60)(24, 75)(25, 63)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.133
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y2^2 * Y1, Y2^-2 * Y3^4, Y2^10 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 15, 41, 19, 45, 23, 49, 24, 50, 11, 37, 21, 47, 18, 44, 7, 33, 5, 31)(3, 29, 8, 34, 12, 38, 20, 46, 17, 43, 6, 32, 10, 36, 16, 42, 22, 48, 26, 52, 25, 51, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 74, 100, 61, 87, 72, 98, 59, 85, 66, 92, 75, 101, 62, 88, 54, 80, 60, 86, 73, 99, 78, 104, 67, 93, 69, 95, 57, 83, 65, 91, 76, 102, 68, 94, 56, 82, 64, 90, 70, 96, 77, 103, 71, 97, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 67)(5, 54)(6, 68)(7, 53)(8, 72)(9, 71)(10, 74)(11, 70)(12, 69)(13, 60)(14, 55)(15, 75)(16, 78)(17, 62)(18, 57)(19, 76)(20, 58)(21, 59)(22, 77)(23, 63)(24, 73)(25, 65)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.131
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y1 * Y3^-2 * Y1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^2 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y2^24 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 18, 44, 4, 30, 10, 36, 13, 39, 7, 33, 12, 38, 17, 43, 20, 46, 5, 31)(3, 29, 9, 35, 22, 48, 26, 52, 25, 51, 14, 40, 6, 32, 11, 37, 16, 42, 23, 49, 24, 50, 19, 45, 15, 41)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 59, 85, 68, 94, 60, 86, 74, 100, 64, 90, 75, 101, 73, 99, 78, 104, 69, 95, 76, 102, 70, 96, 77, 103, 72, 98, 71, 97, 56, 82, 66, 92, 57, 83, 67, 93, 62, 88, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 65)(9, 58)(10, 72)(11, 67)(12, 54)(13, 57)(14, 76)(15, 77)(16, 55)(17, 60)(18, 64)(19, 78)(20, 73)(21, 59)(22, 63)(23, 61)(24, 74)(25, 75)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.129
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1 * Y3^-1, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2, (Y2, Y1^-1), (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y1^3 * Y3^-2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y3^2 * Y1, (Y3^2 * Y2^-1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y1^2 * Y2^-1, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 20, 46, 7, 33, 12, 38, 16, 42, 4, 30, 10, 36, 21, 47, 18, 44, 5, 31)(3, 29, 9, 35, 17, 43, 23, 49, 25, 51, 14, 40, 19, 45, 6, 32, 11, 37, 22, 48, 26, 52, 24, 50, 13, 39)(53, 79, 55, 81, 64, 90, 71, 97, 57, 83, 65, 91, 59, 85, 66, 92, 70, 96, 76, 102, 72, 98, 77, 103, 73, 99, 78, 104, 67, 93, 75, 101, 62, 88, 74, 100, 60, 86, 69, 95, 56, 82, 63, 89, 54, 80, 61, 87, 68, 94, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 67)(5, 68)(6, 69)(7, 53)(8, 73)(9, 74)(10, 72)(11, 75)(12, 54)(13, 58)(14, 55)(15, 70)(16, 60)(17, 78)(18, 64)(19, 61)(20, 57)(21, 59)(22, 77)(23, 76)(24, 71)(25, 65)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.132
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2^-2, Y1 * Y2 * Y3^-1 * Y2, (R * Y3)^2, Y3^-3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y3, Y2), Y1^3 * Y3^-1 * Y1, Y3^-1 * Y2^-2 * Y3^-1 * Y1^-2, Y2^18 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 13, 39, 4, 30, 10, 36, 21, 47, 25, 51, 17, 43, 7, 33, 12, 38, 18, 44, 5, 31)(3, 29, 9, 35, 20, 46, 24, 50, 14, 40, 22, 48, 19, 45, 23, 49, 26, 52, 16, 42, 6, 32, 11, 37, 15, 41)(53, 79, 55, 81, 65, 91, 76, 102, 73, 99, 71, 97, 59, 85, 68, 94, 57, 83, 67, 93, 60, 86, 72, 98, 62, 88, 74, 100, 69, 95, 78, 104, 70, 96, 63, 89, 54, 80, 61, 87, 56, 82, 66, 92, 77, 103, 75, 101, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 65)(6, 61)(7, 53)(8, 73)(9, 74)(10, 59)(11, 72)(12, 54)(13, 77)(14, 78)(15, 76)(16, 55)(17, 57)(18, 60)(19, 58)(20, 71)(21, 64)(22, 68)(23, 63)(24, 75)(25, 70)(26, 67)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.125
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2^-2, Y2^-1 * Y3 * Y1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1, (Y3^-1, Y1^-1), Y3^-3 * Y1, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2, Y2^12 * Y3^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 7, 33, 12, 38, 21, 47, 25, 51, 15, 41, 4, 30, 10, 36, 16, 42, 5, 31)(3, 29, 9, 35, 17, 43, 6, 32, 11, 37, 20, 46, 26, 52, 19, 45, 23, 49, 13, 39, 22, 48, 24, 50, 14, 40)(53, 79, 55, 81, 62, 88, 74, 100, 77, 103, 71, 97, 59, 85, 63, 89, 54, 80, 61, 87, 68, 94, 76, 102, 67, 93, 75, 101, 64, 90, 72, 98, 60, 86, 69, 95, 57, 83, 66, 92, 56, 82, 65, 91, 73, 99, 78, 104, 70, 96, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 64)(5, 67)(6, 66)(7, 53)(8, 68)(9, 74)(10, 73)(11, 55)(12, 54)(13, 72)(14, 75)(15, 59)(16, 77)(17, 76)(18, 57)(19, 58)(20, 61)(21, 60)(22, 78)(23, 63)(24, 71)(25, 70)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.128
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y2^-1 * Y3^-1 * Y2 * Y1, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2^2 * Y3 * Y2^4, (Y3^-1 * Y1^-1)^13, 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 * 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, 27, 2, 28, 6, 32, 14, 40, 9, 35, 17, 43, 24, 50, 26, 52, 21, 47, 13, 39, 18, 44, 11, 37, 4, 30)(3, 29, 7, 33, 15, 41, 23, 49, 19, 45, 22, 48, 25, 51, 20, 46, 12, 38, 5, 31, 8, 34, 16, 42, 10, 36)(53, 79, 55, 81, 61, 87, 71, 97, 73, 99, 64, 90, 56, 82, 62, 88, 66, 92, 75, 101, 78, 104, 72, 98, 63, 89, 68, 94, 58, 84, 67, 93, 76, 102, 77, 103, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 74, 100, 65, 91, 57, 83)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 61)(15, 75)(16, 62)(17, 76)(18, 63)(19, 74)(20, 64)(21, 65)(22, 77)(23, 71)(24, 78)(25, 72)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ), ( 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.124
Graph:: bipartite
	v = 3 e = 52 f = 3
	degree seq :: [ 26^2, 52 ]

E24.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^2 * Y1^-1 * Y2, Y2 * Y3 * Y2^-1 * Y3, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y2, Y3 * Y1^-1 * Y2 * Y3 * Y2^2, Y2^-1 * Y1^-4 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 17, 43, 14, 40, 22, 48, 26, 52, 24, 50, 12, 38, 3, 29, 8, 34, 18, 44, 13, 39, 4, 30, 9, 35, 19, 45, 16, 42, 6, 32, 10, 36, 20, 46, 25, 51, 23, 49, 11, 37, 21, 47, 15, 41, 5, 31)(53, 79, 55, 81, 62, 88, 54, 80, 60, 86, 72, 98, 59, 85, 70, 96, 77, 103, 69, 95, 65, 91, 75, 101, 66, 92, 56, 82, 63, 89, 74, 100, 61, 87, 73, 99, 78, 104, 71, 97, 67, 93, 76, 102, 68, 94, 57, 83, 64, 90, 58, 84)
	L = (1, 56)(2, 61)(3, 63)(4, 53)(5, 65)(6, 66)(7, 71)(8, 73)(9, 54)(10, 74)(11, 55)(12, 75)(13, 57)(14, 58)(15, 70)(16, 69)(17, 68)(18, 67)(19, 59)(20, 78)(21, 60)(22, 62)(23, 64)(24, 77)(25, 76)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.88
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2, (Y1, Y2), Y3 * Y1^-1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 17, 43, 12, 38, 21, 47, 26, 52, 24, 50, 11, 37, 6, 32, 10, 36, 20, 46, 14, 40, 4, 30, 9, 35, 19, 45, 13, 39, 3, 29, 8, 34, 18, 44, 25, 51, 23, 49, 15, 41, 22, 48, 16, 42, 5, 31)(53, 79, 55, 81, 63, 89, 57, 83, 65, 91, 76, 102, 68, 94, 71, 97, 78, 104, 74, 100, 61, 87, 73, 99, 67, 93, 56, 82, 64, 90, 75, 101, 66, 92, 69, 95, 77, 103, 72, 98, 59, 85, 70, 96, 62, 88, 54, 80, 60, 86, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 53)(5, 66)(6, 67)(7, 71)(8, 73)(9, 54)(10, 74)(11, 75)(12, 55)(13, 69)(14, 57)(15, 58)(16, 72)(17, 65)(18, 78)(19, 59)(20, 68)(21, 60)(22, 62)(23, 63)(24, 77)(25, 76)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.89
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1, Y2^-1), (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2^-1 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, Y2^-3 * Y3 * Y1^-2, Y3 * Y2^2 * Y1^-3, Y2^-5 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 19, 45, 17, 43, 6, 32, 10, 36, 22, 48, 12, 38, 24, 50, 18, 44, 26, 52, 14, 40, 4, 30, 9, 35, 21, 47, 11, 37, 23, 49, 15, 41, 25, 51, 13, 39, 3, 29, 8, 34, 20, 46, 16, 42, 5, 31)(53, 79, 55, 81, 63, 89, 78, 104, 62, 88, 54, 80, 60, 86, 75, 101, 66, 92, 74, 100, 59, 85, 72, 98, 67, 93, 56, 82, 64, 90, 71, 97, 68, 94, 77, 103, 61, 87, 76, 102, 69, 95, 57, 83, 65, 91, 73, 99, 70, 96, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 53)(5, 66)(6, 67)(7, 73)(8, 76)(9, 54)(10, 77)(11, 71)(12, 55)(13, 74)(14, 57)(15, 58)(16, 78)(17, 75)(18, 72)(19, 63)(20, 70)(21, 59)(22, 65)(23, 69)(24, 60)(25, 62)(26, 68)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.90
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1^2, Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-5 * Y1^-3, Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 15, 41, 11, 37, 17, 43, 24, 50, 22, 48, 26, 52, 20, 46, 13, 39, 6, 32, 10, 36, 4, 30, 9, 35, 3, 29, 8, 34, 16, 42, 23, 49, 19, 45, 25, 51, 21, 47, 14, 40, 18, 44, 12, 38, 5, 31)(53, 79, 55, 81, 63, 89, 71, 97, 78, 104, 70, 96, 62, 88, 54, 80, 60, 86, 69, 95, 77, 103, 72, 98, 64, 90, 56, 82, 59, 85, 68, 94, 76, 102, 73, 99, 65, 91, 57, 83, 61, 87, 67, 93, 75, 101, 74, 100, 66, 92, 58, 84)
	L = (1, 56)(2, 61)(3, 59)(4, 53)(5, 62)(6, 64)(7, 55)(8, 67)(9, 54)(10, 57)(11, 68)(12, 58)(13, 70)(14, 72)(15, 60)(16, 63)(17, 75)(18, 65)(19, 76)(20, 66)(21, 78)(22, 77)(23, 69)(24, 71)(25, 74)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.86
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-5 * Y1^-1 * Y2^-2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^3, Y2^-2 * Y1^22 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 15, 41, 14, 40, 18, 44, 24, 50, 19, 45, 25, 51, 20, 46, 13, 39, 3, 29, 8, 34, 4, 30, 9, 35, 6, 32, 10, 36, 16, 42, 23, 49, 22, 48, 26, 52, 21, 47, 11, 37, 17, 43, 12, 38, 5, 31)(53, 79, 55, 81, 63, 89, 71, 97, 75, 101, 67, 93, 61, 87, 57, 83, 65, 91, 73, 99, 76, 102, 68, 94, 59, 85, 56, 82, 64, 90, 72, 98, 78, 104, 70, 96, 62, 88, 54, 80, 60, 86, 69, 95, 77, 103, 74, 100, 66, 92, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 53)(5, 60)(6, 59)(7, 58)(8, 57)(9, 54)(10, 67)(11, 72)(12, 55)(13, 69)(14, 68)(15, 62)(16, 66)(17, 65)(18, 75)(19, 78)(20, 63)(21, 77)(22, 76)(23, 70)(24, 74)(25, 73)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.87
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3^2 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y3 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y3 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-2 * Y2 * Y1^-5, Y1^-1 * Y3^-1 * Y1^-2 * Y2 * Y1^13 * Y2^-1 * Y3 * Y1^-1 * Y2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y1^-3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2^23 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 12, 38, 18, 44, 24, 50, 21, 47, 15, 41, 9, 35, 4, 30, 8, 34, 14, 40, 20, 46, 26, 52, 22, 48, 16, 42, 10, 36, 3, 29, 7, 33, 13, 39, 19, 45, 25, 51, 23, 49, 17, 43, 11, 37, 5, 31)(53, 79, 55, 81, 61, 87, 57, 83, 62, 88, 67, 93, 63, 89, 68, 94, 73, 99, 69, 95, 74, 100, 76, 102, 75, 101, 78, 104, 70, 96, 77, 103, 72, 98, 64, 90, 71, 97, 66, 92, 58, 84, 65, 91, 60, 86, 54, 80, 59, 85, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 59)(5, 61)(6, 66)(7, 54)(8, 65)(9, 55)(10, 57)(11, 67)(12, 72)(13, 58)(14, 71)(15, 62)(16, 63)(17, 73)(18, 78)(19, 64)(20, 77)(21, 68)(22, 69)(23, 76)(24, 74)(25, 70)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.107
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1^-1 * Y3^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1^-2 * Y3 * Y1^-3, Y3^2 * Y1 * Y2^-3, Y1 * Y2^21, (Y1^-1 * Y2)^13, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 12, 38, 4, 30, 8, 34, 16, 42, 22, 48, 21, 47, 11, 37, 18, 44, 24, 50, 26, 52, 25, 51, 19, 45, 9, 35, 17, 43, 23, 49, 20, 46, 10, 36, 3, 29, 7, 33, 15, 41, 13, 39, 5, 31)(53, 79, 55, 81, 61, 87, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 76, 102, 68, 94, 58, 84, 67, 93, 75, 101, 78, 104, 74, 100, 66, 92, 65, 91, 72, 98, 77, 103, 73, 99, 64, 90, 57, 83, 62, 88, 71, 97, 63, 89, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 63)(5, 64)(6, 68)(7, 54)(8, 70)(9, 55)(10, 57)(11, 71)(12, 73)(13, 66)(14, 74)(15, 58)(16, 76)(17, 59)(18, 61)(19, 62)(20, 65)(21, 77)(22, 78)(23, 67)(24, 69)(25, 72)(26, 75)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.104
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y3^-2 * Y2^-2, Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^-1 * Y2 * Y1^-4, Y3^-3 * Y2^2 * Y1, Y3^2 * Y2^-2 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y3, Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^2 * Y3^-1 * Y2, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 10, 36, 3, 29, 7, 33, 15, 41, 22, 48, 20, 46, 9, 35, 17, 43, 23, 49, 26, 52, 25, 51, 19, 45, 11, 37, 18, 44, 24, 50, 21, 47, 12, 38, 4, 30, 8, 34, 16, 42, 13, 39, 5, 31)(53, 79, 55, 81, 61, 87, 71, 97, 64, 90, 57, 83, 62, 88, 72, 98, 77, 103, 73, 99, 65, 91, 66, 92, 74, 100, 78, 104, 76, 102, 68, 94, 58, 84, 67, 93, 75, 101, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 63, 89, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 63)(5, 64)(6, 68)(7, 54)(8, 70)(9, 55)(10, 57)(11, 69)(12, 71)(13, 73)(14, 65)(15, 58)(16, 76)(17, 59)(18, 75)(19, 61)(20, 62)(21, 77)(22, 66)(23, 67)(24, 78)(25, 72)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.93
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y3^-1 * Y2^-1, Y3 * Y2, Y3^-1 * Y2^-1, Y2^-1 * Y3^-1, (Y3^-1, Y1), (Y2, Y1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-3 * Y1^3 * Y2^2, Y2^4 * Y3^-1 * Y1^-1 * Y2^2, Y1 * Y2 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y1 * Y2, Y1^11 * Y2, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 9, 35, 17, 43, 24, 50, 20, 46, 26, 52, 22, 48, 12, 38, 4, 30, 8, 34, 16, 42, 10, 36, 3, 29, 7, 33, 15, 41, 23, 49, 19, 45, 25, 51, 21, 47, 11, 37, 18, 44, 13, 39, 5, 31)(53, 79, 55, 81, 61, 87, 71, 97, 78, 104, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 77, 103, 74, 100, 65, 91, 68, 94, 58, 84, 67, 93, 76, 102, 73, 99, 64, 90, 57, 83, 62, 88, 66, 92, 75, 101, 72, 98, 63, 89, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 63)(5, 64)(6, 68)(7, 54)(8, 70)(9, 55)(10, 57)(11, 72)(12, 73)(13, 74)(14, 62)(15, 58)(16, 65)(17, 59)(18, 78)(19, 61)(20, 75)(21, 76)(22, 77)(23, 66)(24, 67)(25, 69)(26, 71)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.101
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y3 * Y2, Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1, R * Y2 * R * Y3^-1, (Y1, Y2^-1), (R * Y1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-2, Y2^-5 * Y1^-1 * Y2^-2, Y2^3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-3 * Y1^-1, Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y3^-1, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 11, 37, 18, 44, 24, 50, 19, 45, 25, 51, 21, 47, 10, 36, 3, 29, 7, 33, 15, 41, 12, 38, 4, 30, 8, 34, 16, 42, 23, 49, 22, 48, 26, 52, 20, 46, 9, 35, 17, 43, 13, 39, 5, 31)(53, 79, 55, 81, 61, 87, 71, 97, 75, 101, 66, 92, 64, 90, 57, 83, 62, 88, 72, 98, 76, 102, 68, 94, 58, 84, 67, 93, 65, 91, 73, 99, 78, 104, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 77, 103, 74, 100, 63, 89, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 63)(5, 64)(6, 68)(7, 54)(8, 70)(9, 55)(10, 57)(11, 74)(12, 66)(13, 67)(14, 75)(15, 58)(16, 76)(17, 59)(18, 78)(19, 61)(20, 62)(21, 65)(22, 77)(23, 71)(24, 72)(25, 69)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.108
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y2 * Y3, Y2 * Y1^-3, R * Y2 * R * Y3^-1, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-8, Y2^4 * Y1^-1 * Y2^-4 * Y1, Y3^4 * Y1^-1 * Y2^-4 * Y1^-1, Y2^26, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 3, 29, 7, 33, 12, 38, 9, 35, 13, 39, 18, 44, 15, 41, 19, 45, 24, 50, 21, 47, 25, 51, 22, 48, 26, 52, 23, 49, 16, 42, 20, 46, 17, 43, 10, 36, 14, 40, 11, 37, 4, 30, 8, 34, 5, 31)(53, 79, 55, 81, 61, 87, 67, 93, 73, 99, 78, 104, 72, 98, 66, 92, 60, 86, 54, 80, 59, 85, 65, 91, 71, 97, 77, 103, 75, 101, 69, 95, 63, 89, 57, 83, 58, 84, 64, 90, 70, 96, 76, 102, 74, 100, 68, 94, 62, 88, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 62)(5, 63)(6, 57)(7, 54)(8, 66)(9, 55)(10, 68)(11, 69)(12, 58)(13, 59)(14, 72)(15, 61)(16, 74)(17, 75)(18, 64)(19, 65)(20, 78)(21, 67)(22, 76)(23, 77)(24, 70)(25, 71)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.100
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^-1 * Y3 * Y1^-2, (Y3^-1, Y1^-1), R * Y2 * R * Y3^-1, (Y1, Y2^-1), (R * Y1)^2, Y1^-1 * Y3^9, Y2^3 * Y1^-1 * Y2 * Y3^-4 * Y1^-1, (Y1^-1 * Y3^-1)^13, (Y3 * Y2^-1)^13, Y2^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 4, 30, 8, 34, 12, 38, 11, 37, 14, 40, 18, 44, 17, 43, 20, 46, 24, 50, 23, 49, 26, 52, 21, 47, 25, 51, 22, 48, 15, 41, 19, 45, 16, 42, 9, 35, 13, 39, 10, 36, 3, 29, 7, 33, 5, 31)(53, 79, 55, 81, 61, 87, 67, 93, 73, 99, 76, 102, 70, 96, 64, 90, 58, 84, 57, 83, 62, 88, 68, 94, 74, 100, 78, 104, 72, 98, 66, 92, 60, 86, 54, 80, 59, 85, 65, 91, 71, 97, 77, 103, 75, 101, 69, 95, 63, 89, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 63)(5, 58)(6, 64)(7, 54)(8, 66)(9, 55)(10, 57)(11, 69)(12, 70)(13, 59)(14, 72)(15, 61)(16, 62)(17, 75)(18, 76)(19, 65)(20, 78)(21, 67)(22, 68)(23, 77)(24, 73)(25, 71)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.96
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3 * Y2, Y2 * Y3, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y1^-5 * Y3^-3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 14, 40, 23, 49, 19, 45, 12, 38, 4, 30, 8, 34, 16, 42, 25, 51, 20, 46, 9, 35, 17, 43, 11, 37, 18, 44, 26, 52, 21, 47, 10, 36, 3, 29, 7, 33, 15, 41, 24, 50, 22, 48, 13, 39, 5, 31)(53, 79, 55, 81, 61, 87, 71, 97, 65, 91, 73, 99, 77, 103, 66, 92, 76, 102, 70, 96, 60, 86, 54, 80, 59, 85, 69, 95, 64, 90, 57, 83, 62, 88, 72, 98, 75, 101, 74, 100, 78, 104, 68, 94, 58, 84, 67, 93, 63, 89, 56, 82)
	L = (1, 56)(2, 60)(3, 53)(4, 63)(5, 64)(6, 68)(7, 54)(8, 70)(9, 55)(10, 57)(11, 67)(12, 69)(13, 71)(14, 77)(15, 58)(16, 78)(17, 59)(18, 76)(19, 61)(20, 62)(21, 65)(22, 75)(23, 72)(24, 66)(25, 73)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.106
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), Y3^2 * Y2^-1 * Y1^-1, (Y2, Y1^-1), Y3^-1 * Y2^-2 * Y1, Y2^-2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2^2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y1 * Y3 * Y1^2, Y2^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 16, 42, 6, 32, 11, 37, 21, 47, 25, 51, 24, 50, 14, 40, 4, 30, 10, 36, 20, 46, 17, 43, 7, 33, 12, 38, 22, 48, 26, 52, 23, 49, 13, 39, 3, 29, 9, 35, 19, 45, 15, 41, 5, 31)(53, 79, 55, 81, 64, 90, 56, 82, 63, 89, 54, 80, 61, 87, 74, 100, 62, 88, 73, 99, 60, 86, 71, 97, 78, 104, 72, 98, 77, 103, 70, 96, 67, 93, 75, 101, 69, 95, 76, 102, 68, 94, 57, 83, 65, 91, 59, 85, 66, 92, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 61)(5, 66)(6, 64)(7, 53)(8, 72)(9, 73)(10, 71)(11, 74)(12, 54)(13, 58)(14, 55)(15, 76)(16, 59)(17, 57)(18, 69)(19, 77)(20, 67)(21, 78)(22, 60)(23, 68)(24, 65)(25, 75)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.105
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y3^-2 * Y1 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1, (R * Y2)^2, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y2^-2, Y3^-2 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y3^2 * Y1, Y3 * Y1 * Y2 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 20, 46, 13, 39, 25, 51, 19, 45, 7, 33, 12, 38, 24, 50, 18, 44, 6, 32, 11, 37, 23, 49, 14, 40, 3, 29, 9, 35, 21, 47, 16, 42, 4, 30, 10, 36, 22, 48, 15, 41, 26, 52, 17, 43, 5, 31)(53, 79, 55, 81, 65, 91, 56, 82, 64, 90, 78, 104, 63, 89, 54, 80, 61, 87, 77, 103, 62, 88, 76, 102, 69, 95, 75, 101, 60, 86, 73, 99, 71, 97, 74, 100, 70, 96, 57, 83, 66, 92, 72, 98, 68, 94, 59, 85, 67, 93, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 63)(5, 68)(6, 65)(7, 53)(8, 74)(9, 76)(10, 75)(11, 77)(12, 54)(13, 78)(14, 59)(15, 55)(16, 58)(17, 73)(18, 72)(19, 57)(20, 67)(21, 70)(22, 66)(23, 71)(24, 60)(25, 69)(26, 61)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.95
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1 * Y2^-1, Y1^-1 * Y3^-2 * Y2^-1, (R * Y2)^2, Y3 * Y2^-3, (Y2^-1, Y1), (Y2, Y3^-1), Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3^4 * Y1^-2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y3, Y1^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 20, 46, 16, 42, 26, 52, 18, 44, 4, 30, 10, 36, 22, 48, 15, 41, 3, 29, 9, 35, 21, 47, 17, 43, 6, 32, 11, 37, 23, 49, 14, 40, 7, 33, 12, 38, 24, 50, 13, 39, 25, 51, 19, 45, 5, 31)(53, 79, 55, 81, 65, 91, 56, 82, 66, 92, 72, 98, 69, 95, 57, 83, 67, 93, 76, 102, 70, 96, 75, 101, 60, 86, 73, 99, 71, 97, 74, 100, 64, 90, 78, 104, 63, 89, 54, 80, 61, 87, 77, 103, 62, 88, 59, 85, 68, 94, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 65)(7, 53)(8, 74)(9, 59)(10, 58)(11, 77)(12, 54)(13, 72)(14, 57)(15, 75)(16, 55)(17, 76)(18, 73)(19, 78)(20, 67)(21, 64)(22, 63)(23, 71)(24, 60)(25, 68)(26, 61)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.109
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, Y2 * Y1^-3, Y2^-3 * Y3, (R * Y2)^2, (R * Y1)^2, (Y1, Y2), (Y2^-1, Y3^-1), (R * Y3)^2, Y3 * Y2 * Y3 * Y2^2 * Y1^-1, Y3^-2 * Y2 * Y3^-1 * Y1^-2, Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 3, 29, 9, 35, 20, 46, 13, 39, 23, 49, 16, 42, 4, 30, 10, 36, 21, 47, 14, 40, 24, 50, 19, 45, 26, 52, 18, 44, 7, 33, 12, 38, 22, 48, 15, 41, 25, 51, 17, 43, 6, 32, 11, 37, 5, 31)(53, 79, 55, 81, 65, 91, 56, 82, 66, 92, 78, 104, 64, 90, 77, 103, 63, 89, 54, 80, 61, 87, 75, 101, 62, 88, 76, 102, 70, 96, 74, 100, 69, 95, 57, 83, 60, 86, 72, 98, 68, 94, 73, 99, 71, 97, 59, 85, 67, 93, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 64)(5, 68)(6, 65)(7, 53)(8, 73)(9, 76)(10, 74)(11, 75)(12, 54)(13, 78)(14, 77)(15, 55)(16, 59)(17, 72)(18, 57)(19, 58)(20, 71)(21, 67)(22, 60)(23, 70)(24, 69)(25, 61)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.98
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^3 * Y3^-1, Y1^-1 * Y3^-3, (Y3, Y1), Y2^-1 * Y1^-3, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-2 * Y3^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 6, 32, 11, 37, 21, 47, 16, 42, 25, 51, 17, 43, 7, 33, 12, 38, 22, 48, 19, 45, 26, 52, 14, 40, 24, 50, 18, 44, 4, 30, 10, 36, 20, 46, 13, 39, 23, 49, 15, 41, 3, 29, 9, 35, 5, 31)(53, 79, 55, 81, 65, 91, 56, 82, 66, 92, 74, 100, 69, 95, 73, 99, 60, 86, 57, 83, 67, 93, 72, 98, 70, 96, 78, 104, 64, 90, 77, 103, 63, 89, 54, 80, 61, 87, 75, 101, 62, 88, 76, 102, 71, 97, 59, 85, 68, 94, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 65)(7, 53)(8, 72)(9, 76)(10, 59)(11, 75)(12, 54)(13, 74)(14, 73)(15, 78)(16, 55)(17, 57)(18, 77)(19, 58)(20, 64)(21, 67)(22, 60)(23, 71)(24, 68)(25, 61)(26, 63)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.94
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2 * Y1^-1, (Y2, Y1^-1), Y3 * Y2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-3, Y3^-1 * Y2^-1 * Y1^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1, Y2^-2 * Y3^-3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 20, 46, 18, 44, 7, 33, 12, 38, 3, 29, 9, 35, 21, 47, 19, 45, 26, 52, 14, 40, 24, 50, 13, 39, 23, 49, 15, 41, 25, 51, 17, 43, 6, 32, 11, 37, 4, 30, 10, 36, 22, 48, 16, 42, 5, 31)(53, 79, 55, 81, 65, 91, 56, 82, 60, 86, 73, 99, 67, 93, 74, 100, 70, 96, 78, 104, 69, 95, 57, 83, 64, 90, 76, 102, 63, 89, 54, 80, 61, 87, 75, 101, 62, 88, 72, 98, 71, 97, 77, 103, 68, 94, 59, 85, 66, 92, 58, 84)
	L = (1, 56)(2, 62)(3, 60)(4, 67)(5, 63)(6, 65)(7, 53)(8, 74)(9, 72)(10, 77)(11, 75)(12, 54)(13, 73)(14, 55)(15, 78)(16, 58)(17, 76)(18, 57)(19, 59)(20, 68)(21, 70)(22, 69)(23, 71)(24, 61)(25, 66)(26, 64)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.110
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y3^-1 * Y1 * Y3^-1 * Y2^-1, (Y3, Y1), Y3^-2 * Y1 * Y2^-1, (R * Y3)^2, Y3 * Y1^-1 * Y2^-2, Y3 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y2^-1 * Y1, (Y3 * Y1^2)^2, Y1^-1 * Y3^-2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 14, 40, 3, 29, 9, 35, 19, 45, 25, 51, 23, 49, 13, 39, 4, 30, 10, 36, 20, 46, 17, 43, 7, 33, 12, 38, 22, 48, 26, 52, 24, 50, 15, 41, 6, 32, 11, 37, 21, 47, 16, 42, 5, 31)(53, 79, 55, 81, 65, 91, 59, 85, 67, 93, 57, 83, 66, 92, 75, 101, 69, 95, 76, 102, 68, 94, 70, 96, 77, 103, 72, 98, 78, 104, 73, 99, 60, 86, 71, 97, 62, 88, 74, 100, 63, 89, 54, 80, 61, 87, 56, 82, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 63)(5, 65)(6, 61)(7, 53)(8, 72)(9, 74)(10, 73)(11, 71)(12, 54)(13, 58)(14, 59)(15, 55)(16, 75)(17, 57)(18, 69)(19, 78)(20, 68)(21, 77)(22, 60)(23, 67)(24, 66)(25, 76)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.91
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y3^-2 * Y2 * Y1, (Y1, Y2), (Y1, Y3^-1), Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 20, 46, 14, 40, 26, 52, 19, 45, 7, 33, 12, 38, 24, 50, 15, 41, 3, 29, 9, 35, 21, 47, 18, 44, 6, 32, 11, 37, 23, 49, 16, 42, 4, 30, 10, 36, 22, 48, 13, 39, 25, 51, 17, 43, 5, 31)(53, 79, 55, 81, 65, 91, 59, 85, 68, 94, 72, 98, 70, 96, 57, 83, 67, 93, 74, 100, 71, 97, 75, 101, 60, 86, 73, 99, 69, 95, 76, 102, 62, 88, 78, 104, 63, 89, 54, 80, 61, 87, 77, 103, 64, 90, 56, 82, 66, 92, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 61)(5, 68)(6, 64)(7, 53)(8, 74)(9, 78)(10, 73)(11, 76)(12, 54)(13, 58)(14, 77)(15, 72)(16, 55)(17, 75)(18, 59)(19, 57)(20, 65)(21, 71)(22, 70)(23, 67)(24, 60)(25, 63)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.92
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, Y1^-1 * Y2 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-2, (Y2, Y1), (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y3^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y1^-1 * Y3^2 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 3, 29, 9, 35, 20, 46, 13, 39, 23, 49, 16, 42, 7, 33, 12, 38, 22, 48, 15, 41, 25, 51, 18, 44, 26, 52, 17, 43, 4, 30, 10, 36, 21, 47, 14, 40, 24, 50, 19, 45, 6, 32, 11, 37, 5, 31)(53, 79, 55, 81, 65, 91, 59, 85, 67, 93, 78, 104, 62, 88, 76, 102, 63, 89, 54, 80, 61, 87, 75, 101, 64, 90, 77, 103, 69, 95, 73, 99, 71, 97, 57, 83, 60, 86, 72, 98, 68, 94, 74, 100, 70, 96, 56, 82, 66, 92, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 68)(5, 69)(6, 70)(7, 53)(8, 73)(9, 76)(10, 59)(11, 78)(12, 54)(13, 58)(14, 74)(15, 55)(16, 57)(17, 75)(18, 72)(19, 77)(20, 71)(21, 64)(22, 60)(23, 63)(24, 67)(25, 61)(26, 65)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.102
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2^-3, Y3 * Y2 * Y1^-2, (Y1, Y3^-1), (Y2, Y1^-1), Y2^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y1^-2 * Y2 * Y3, (R * Y3)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1^5 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 25, 51, 24, 50, 16, 42, 7, 33, 12, 38, 3, 29, 9, 35, 19, 45, 14, 40, 21, 47, 17, 43, 22, 48, 13, 39, 6, 32, 11, 37, 4, 30, 10, 36, 20, 46, 26, 52, 23, 49, 15, 41, 5, 31)(53, 79, 55, 81, 63, 89, 54, 80, 61, 87, 56, 82, 60, 86, 71, 97, 62, 88, 70, 96, 66, 92, 72, 98, 77, 103, 73, 99, 78, 104, 76, 102, 69, 95, 75, 101, 68, 94, 74, 100, 67, 93, 59, 85, 65, 91, 57, 83, 64, 90, 58, 84)
	L = (1, 56)(2, 62)(3, 60)(4, 66)(5, 63)(6, 61)(7, 53)(8, 72)(9, 70)(10, 73)(11, 71)(12, 54)(13, 55)(14, 76)(15, 58)(16, 57)(17, 59)(18, 78)(19, 77)(20, 69)(21, 68)(22, 64)(23, 65)(24, 67)(25, 75)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.97
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y1^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^-2, (Y3^-1, Y1), Y1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3^2, (R * Y2)^2, (Y1^-2 * Y3)^2, Y2 * Y3^-2 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 6, 32, 11, 37, 21, 47, 19, 45, 26, 52, 15, 41, 24, 50, 18, 44, 7, 33, 12, 38, 22, 48, 16, 42, 4, 30, 10, 36, 20, 46, 17, 43, 25, 51, 13, 39, 23, 49, 14, 40, 3, 29, 9, 35, 5, 31)(53, 79, 55, 81, 65, 91, 72, 98, 68, 94, 59, 85, 67, 93, 73, 99, 60, 86, 57, 83, 66, 92, 77, 103, 62, 88, 74, 100, 70, 96, 78, 104, 63, 89, 54, 80, 61, 87, 75, 101, 69, 95, 56, 82, 64, 90, 76, 102, 71, 97, 58, 84)
	L = (1, 56)(2, 62)(3, 64)(4, 63)(5, 68)(6, 69)(7, 53)(8, 72)(9, 74)(10, 73)(11, 77)(12, 54)(13, 76)(14, 59)(15, 55)(16, 58)(17, 78)(18, 57)(19, 75)(20, 71)(21, 65)(22, 60)(23, 70)(24, 61)(25, 67)(26, 66)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.99
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 13, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-2, (Y3, Y1^-1), (Y3, Y2^-1), Y3^-2 * Y1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (Y2^-1, Y1), Y2^-1 * Y3^-1 * Y2^-4, Y3 * Y2 * Y1^-5 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 25, 51, 23, 49, 15, 41, 3, 29, 9, 35, 7, 33, 12, 38, 20, 46, 17, 43, 22, 48, 13, 39, 21, 47, 16, 42, 4, 30, 10, 36, 6, 32, 11, 37, 19, 45, 26, 52, 24, 50, 14, 40, 5, 31)(53, 79, 55, 81, 65, 91, 71, 97, 60, 86, 59, 85, 68, 94, 76, 102, 77, 103, 72, 98, 62, 88, 57, 83, 67, 93, 74, 100, 63, 89, 54, 80, 61, 87, 73, 99, 78, 104, 70, 96, 64, 90, 56, 82, 66, 92, 75, 101, 69, 95, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 61)(5, 68)(6, 64)(7, 53)(8, 58)(9, 57)(10, 59)(11, 72)(12, 54)(13, 75)(14, 73)(15, 76)(16, 55)(17, 70)(18, 63)(19, 69)(20, 60)(21, 67)(22, 77)(23, 78)(24, 65)(25, 71)(26, 74)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.103
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y2^2, Y3^3 * Y2^-1, Y3 * Y2^-1 * Y3^2, (Y3, Y2^-1), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2^-1 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1, (Y1^-1 * Y3^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 13, 40, 3, 30, 6, 33, 10, 37, 17, 44, 5, 32)(4, 31, 9, 36, 20, 47, 24, 51, 12, 39, 16, 43, 22, 49, 26, 53, 15, 42)(7, 34, 11, 38, 21, 48, 25, 52, 14, 41, 19, 46, 23, 50, 27, 54, 18, 45)(55, 82, 57, 84, 59, 86, 67, 94, 71, 98, 62, 89, 64, 91, 56, 83, 60, 87)(58, 85, 66, 93, 69, 96, 78, 105, 80, 107, 74, 101, 76, 103, 63, 90, 70, 97)(61, 88, 68, 95, 72, 99, 79, 106, 81, 108, 75, 102, 77, 104, 65, 92, 73, 100)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 74)(9, 73)(10, 76)(11, 56)(12, 72)(13, 78)(14, 57)(15, 79)(16, 61)(17, 80)(18, 59)(19, 60)(20, 77)(21, 62)(22, 65)(23, 64)(24, 81)(25, 67)(26, 75)(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) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.315
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y2^2, Y3^3 * Y2^-1, Y3^-1 * Y2 * Y3^-2, (Y3^-1, Y2), (R * Y1)^2, (Y3, Y1), (R * Y3)^2, (R * Y2)^2, Y2 * Y1^4, (Y1^-1 * Y3^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 6, 33, 3, 30, 9, 36, 16, 43, 5, 32)(4, 31, 10, 37, 20, 47, 25, 52, 15, 42, 12, 39, 22, 49, 24, 51, 14, 41)(7, 34, 11, 38, 21, 48, 27, 54, 19, 46, 13, 40, 23, 50, 26, 53, 18, 45)(55, 82, 57, 84, 56, 83, 63, 90, 62, 89, 70, 97, 71, 98, 59, 86, 60, 87)(58, 85, 66, 93, 64, 91, 76, 103, 74, 101, 78, 105, 79, 106, 68, 95, 69, 96)(61, 88, 67, 94, 65, 92, 77, 104, 75, 102, 80, 107, 81, 108, 72, 99, 73, 100)
	L = (1, 58)(2, 64)(3, 66)(4, 67)(5, 68)(6, 69)(7, 55)(8, 74)(9, 76)(10, 77)(11, 56)(12, 65)(13, 57)(14, 73)(15, 61)(16, 78)(17, 79)(18, 59)(19, 60)(20, 80)(21, 62)(22, 75)(23, 63)(24, 81)(25, 72)(26, 70)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.313
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y1^-2, (Y3^-1, Y2), Y3^-3 * Y2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y1 * Y3^-1 * Y1, Y2^2 * Y1 * Y2^2, (Y1^-1 * Y3^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 11, 38, 18, 45, 16, 43, 6, 33, 5, 32)(4, 31, 9, 36, 12, 39, 20, 47, 22, 49, 25, 52, 24, 51, 15, 42, 14, 41)(7, 34, 10, 37, 13, 40, 21, 48, 23, 50, 27, 54, 26, 53, 19, 46, 17, 44)(55, 82, 57, 84, 65, 92, 70, 97, 59, 86, 56, 83, 62, 89, 72, 99, 60, 87)(58, 85, 66, 93, 76, 103, 78, 105, 68, 95, 63, 90, 74, 101, 79, 106, 69, 96)(61, 88, 67, 94, 77, 104, 80, 107, 71, 98, 64, 91, 75, 102, 81, 108, 73, 100)
	L = (1, 58)(2, 63)(3, 66)(4, 67)(5, 68)(6, 69)(7, 55)(8, 74)(9, 75)(10, 56)(11, 76)(12, 77)(13, 57)(14, 64)(15, 61)(16, 78)(17, 59)(18, 79)(19, 60)(20, 81)(21, 62)(22, 80)(23, 65)(24, 71)(25, 73)(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) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.316
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y1^2, Y3^3 * Y2^-1, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 9, 36, 18, 45, 11, 38, 13, 40, 3, 30, 5, 32)(4, 31, 8, 35, 16, 43, 20, 47, 26, 53, 22, 49, 24, 51, 12, 39, 15, 42)(7, 34, 10, 37, 19, 46, 21, 48, 27, 54, 23, 50, 25, 52, 14, 41, 17, 44)(55, 82, 57, 84, 65, 92, 63, 90, 56, 83, 59, 86, 67, 94, 72, 99, 60, 87)(58, 85, 66, 93, 76, 103, 74, 101, 62, 89, 69, 96, 78, 105, 80, 107, 70, 97)(61, 88, 68, 95, 77, 104, 75, 102, 64, 91, 71, 98, 79, 106, 81, 108, 73, 100)
	L = (1, 58)(2, 62)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 71)(9, 74)(10, 56)(11, 76)(12, 77)(13, 78)(14, 57)(15, 79)(16, 61)(17, 59)(18, 80)(19, 60)(20, 64)(21, 63)(22, 75)(23, 65)(24, 81)(25, 67)(26, 73)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.311
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y1^-2, (Y1^-1, Y3^-1), Y3^2 * Y2 * Y3, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1, Y1 * Y2^4, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 11, 38, 19, 46, 17, 44, 6, 33, 5, 32)(4, 31, 9, 36, 12, 39, 20, 47, 22, 49, 27, 54, 26, 53, 16, 43, 15, 42)(7, 34, 10, 37, 13, 40, 21, 48, 23, 50, 25, 52, 24, 51, 14, 41, 18, 45)(55, 82, 57, 84, 65, 92, 71, 98, 59, 86, 56, 83, 62, 89, 73, 100, 60, 87)(58, 85, 66, 93, 76, 103, 80, 107, 69, 96, 63, 90, 74, 101, 81, 108, 70, 97)(61, 88, 67, 94, 77, 104, 78, 105, 72, 99, 64, 91, 75, 102, 79, 106, 68, 95)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 74)(9, 72)(10, 56)(11, 76)(12, 61)(13, 57)(14, 60)(15, 78)(16, 79)(17, 80)(18, 59)(19, 81)(20, 64)(21, 62)(22, 67)(23, 65)(24, 71)(25, 73)(26, 77)(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) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.312
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y1^2, (Y3, Y2^-1), (Y3, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-4, Y2 * Y3^-3 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2^-2, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 9, 36, 19, 46, 11, 38, 13, 40, 3, 30, 5, 32)(4, 31, 8, 35, 17, 44, 23, 50, 21, 48, 25, 52, 26, 53, 12, 39, 16, 43)(7, 34, 10, 37, 20, 47, 24, 51, 27, 54, 15, 42, 22, 49, 14, 41, 18, 45)(55, 82, 57, 84, 65, 92, 63, 90, 56, 83, 59, 86, 67, 94, 73, 100, 60, 87)(58, 85, 66, 93, 79, 106, 77, 104, 62, 89, 70, 97, 80, 107, 75, 102, 71, 98)(61, 88, 68, 95, 69, 96, 78, 105, 64, 91, 72, 99, 76, 103, 81, 108, 74, 101)
	L = (1, 58)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 76)(9, 77)(10, 56)(11, 79)(12, 78)(13, 80)(14, 57)(15, 65)(16, 81)(17, 68)(18, 59)(19, 75)(20, 60)(21, 61)(22, 67)(23, 72)(24, 63)(25, 64)(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) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.314
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 12, 39, 18, 45, 22, 49, 16, 43, 10, 37, 4, 31)(3, 30, 7, 34, 13, 40, 19, 46, 24, 51, 26, 53, 21, 48, 15, 42, 9, 36)(5, 32, 8, 35, 14, 41, 20, 47, 25, 52, 27, 54, 23, 50, 17, 44, 11, 38)(55, 82, 57, 84, 62, 89, 56, 83, 61, 88, 68, 95, 60, 87, 67, 94, 74, 101, 66, 93, 73, 100, 79, 106, 72, 99, 78, 105, 81, 108, 76, 103, 80, 107, 77, 104, 70, 97, 75, 102, 71, 98, 64, 91, 69, 96, 65, 92, 58, 85, 63, 90, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 12, 39, 18, 45, 23, 50, 17, 44, 11, 38, 4, 31)(3, 30, 7, 34, 13, 40, 19, 46, 24, 51, 27, 54, 22, 49, 16, 43, 10, 37)(5, 32, 8, 35, 14, 41, 20, 47, 25, 52, 26, 53, 21, 48, 15, 42, 9, 36)(55, 82, 57, 84, 63, 90, 58, 85, 64, 91, 69, 96, 65, 92, 70, 97, 75, 102, 71, 98, 76, 103, 80, 107, 77, 104, 81, 108, 79, 106, 72, 99, 78, 105, 74, 101, 66, 93, 73, 100, 68, 95, 60, 87, 67, 94, 62, 89, 56, 83, 61, 88, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 19, 46, 25, 52, 22, 49, 11, 38, 4, 31)(3, 30, 7, 34, 15, 42, 26, 53, 24, 51, 13, 40, 18, 45, 21, 48, 10, 37)(5, 32, 8, 35, 16, 43, 20, 47, 9, 36, 17, 44, 27, 54, 23, 50, 12, 39)(55, 82, 57, 84, 63, 90, 73, 100, 78, 105, 66, 93, 58, 85, 64, 91, 74, 101, 68, 95, 80, 107, 77, 104, 65, 92, 75, 102, 70, 97, 60, 87, 69, 96, 81, 108, 76, 103, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 79, 106, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y2^-2 * Y1 * Y2^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2^5, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 25, 52, 19, 46, 22, 49, 11, 38, 4, 31)(3, 30, 7, 34, 15, 42, 24, 51, 13, 40, 18, 45, 27, 54, 21, 48, 10, 37)(5, 32, 8, 35, 16, 43, 26, 53, 20, 47, 9, 36, 17, 44, 23, 50, 12, 39)(55, 82, 57, 84, 63, 90, 73, 100, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 76, 103, 81, 108, 70, 97, 60, 87, 69, 96, 77, 104, 65, 92, 75, 102, 80, 107, 68, 95, 78, 105, 66, 93, 58, 85, 64, 91, 74, 101, 79, 106, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-9, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 20, 47, 23, 50, 17, 44, 11, 38, 4, 31)(3, 30, 7, 34, 15, 42, 21, 48, 26, 53, 25, 52, 19, 46, 13, 40, 10, 37)(5, 32, 8, 35, 9, 36, 16, 43, 22, 49, 27, 54, 24, 51, 18, 45, 12, 39)(55, 82, 57, 84, 63, 90, 60, 87, 69, 96, 76, 103, 74, 101, 80, 107, 78, 105, 71, 98, 73, 100, 66, 93, 58, 85, 64, 91, 62, 89, 56, 83, 61, 88, 70, 97, 68, 95, 75, 102, 81, 108, 77, 104, 79, 106, 72, 99, 65, 92, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^9, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 20, 47, 25, 52, 19, 46, 11, 38, 4, 31)(3, 30, 7, 34, 13, 40, 16, 43, 22, 49, 27, 54, 24, 51, 18, 45, 10, 37)(5, 32, 8, 35, 15, 42, 21, 48, 26, 53, 23, 50, 17, 44, 9, 36, 12, 39)(55, 82, 57, 84, 63, 90, 65, 92, 72, 99, 77, 104, 79, 106, 81, 108, 75, 102, 68, 95, 70, 97, 62, 89, 56, 83, 61, 88, 66, 93, 58, 85, 64, 91, 71, 98, 73, 100, 78, 105, 80, 107, 74, 101, 76, 103, 69, 96, 60, 87, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-3, Y2^3 * Y1^-1, (R * Y2)^2, (Y3^-1, Y1), (R * Y3)^2, (Y3^-1, Y2), (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * 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, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 18, 45, 7, 34, 12, 39, 5, 32)(3, 30, 9, 36, 20, 47, 13, 40, 22, 49, 26, 53, 15, 42, 23, 50, 14, 41)(6, 33, 11, 38, 21, 48, 16, 43, 24, 51, 27, 54, 19, 46, 25, 52, 17, 44)(55, 82, 57, 84, 65, 92, 56, 83, 63, 90, 75, 102, 62, 89, 74, 101, 70, 97, 58, 85, 67, 94, 78, 105, 64, 91, 76, 103, 81, 108, 72, 99, 80, 107, 73, 100, 61, 88, 69, 96, 79, 106, 66, 93, 77, 104, 71, 98, 59, 86, 68, 95, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 61)(5, 62)(6, 70)(7, 55)(8, 72)(9, 76)(10, 66)(11, 78)(12, 56)(13, 69)(14, 74)(15, 57)(16, 73)(17, 75)(18, 59)(19, 60)(20, 80)(21, 81)(22, 77)(23, 63)(24, 79)(25, 65)(26, 68)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.292
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-3 * Y3^-1, (Y1, Y3^-1), (Y2, Y3^-1), Y2^-1 * Y1^-1 * Y2^-2, (R * Y3)^2, (Y2, Y1), (R * Y2)^2, (R * Y1)^2, 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 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 17, 44, 4, 31, 10, 37, 5, 32)(3, 30, 9, 36, 20, 47, 16, 43, 23, 50, 27, 54, 14, 41, 22, 49, 15, 42)(6, 33, 11, 38, 21, 48, 19, 46, 25, 52, 26, 53, 18, 45, 24, 51, 13, 40)(55, 82, 57, 84, 67, 94, 59, 86, 69, 96, 78, 105, 64, 91, 76, 103, 72, 99, 58, 85, 68, 95, 80, 107, 71, 98, 81, 108, 79, 106, 66, 93, 77, 104, 73, 100, 61, 88, 70, 97, 75, 102, 62, 89, 74, 101, 65, 92, 56, 83, 63, 90, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 71)(6, 72)(7, 55)(8, 59)(9, 76)(10, 66)(11, 78)(12, 56)(13, 80)(14, 70)(15, 81)(16, 57)(17, 62)(18, 73)(19, 60)(20, 69)(21, 67)(22, 77)(23, 63)(24, 79)(25, 65)(26, 75)(27, 74)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.290
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3 * Y3^-1, (Y1^-1, Y3), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y2^-2 * Y1 * Y2^-1 * Y3, Y3^-1 * Y2^3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 19, 46, 7, 34, 12, 39, 5, 32)(3, 30, 9, 36, 22, 49, 14, 41, 25, 52, 20, 47, 16, 43, 26, 53, 15, 42)(6, 33, 11, 38, 23, 50, 17, 44, 13, 40, 24, 51, 21, 48, 27, 54, 18, 45)(55, 82, 57, 84, 67, 94, 64, 91, 79, 106, 72, 99, 59, 86, 69, 96, 71, 98, 58, 85, 68, 95, 81, 108, 66, 93, 80, 107, 77, 104, 62, 89, 76, 103, 75, 102, 61, 88, 70, 97, 65, 92, 56, 83, 63, 90, 78, 105, 73, 100, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 62)(6, 71)(7, 55)(8, 73)(9, 79)(10, 66)(11, 67)(12, 56)(13, 81)(14, 70)(15, 76)(16, 57)(17, 75)(18, 77)(19, 59)(20, 69)(21, 60)(22, 74)(23, 78)(24, 72)(25, 80)(26, 63)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.287
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3), Y1^3 * Y3, (Y1^-1, Y2), (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^2 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, 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 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 17, 44, 4, 31, 10, 37, 5, 32)(3, 30, 9, 36, 22, 49, 16, 43, 20, 47, 26, 53, 14, 41, 24, 51, 15, 42)(6, 33, 11, 38, 23, 50, 21, 48, 27, 54, 13, 40, 18, 45, 25, 52, 19, 46)(55, 82, 57, 84, 67, 94, 71, 98, 80, 107, 65, 92, 56, 83, 63, 90, 72, 99, 58, 85, 68, 95, 77, 104, 62, 89, 76, 103, 79, 106, 64, 91, 78, 105, 75, 102, 61, 88, 70, 97, 73, 100, 59, 86, 69, 96, 81, 108, 66, 93, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 71)(6, 72)(7, 55)(8, 59)(9, 78)(10, 66)(11, 79)(12, 56)(13, 77)(14, 70)(15, 80)(16, 57)(17, 62)(18, 75)(19, 67)(20, 63)(21, 60)(22, 69)(23, 73)(24, 74)(25, 81)(26, 76)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.291
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-3 * Y3^-1, (Y1, Y3^-1), (Y3^-1, Y2), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^2 * Y2^-2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 17, 44, 4, 31, 10, 37, 5, 32)(3, 30, 9, 36, 22, 49, 16, 43, 23, 50, 27, 54, 14, 41, 20, 47, 15, 42)(6, 33, 11, 38, 13, 40, 21, 48, 25, 52, 26, 53, 18, 45, 24, 51, 19, 46)(55, 82, 57, 84, 67, 94, 62, 89, 76, 103, 79, 106, 66, 93, 77, 104, 72, 99, 58, 85, 68, 95, 73, 100, 59, 86, 69, 96, 65, 92, 56, 83, 63, 90, 75, 102, 61, 88, 70, 97, 80, 107, 71, 98, 81, 108, 78, 105, 64, 91, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 71)(6, 72)(7, 55)(8, 59)(9, 74)(10, 66)(11, 78)(12, 56)(13, 73)(14, 70)(15, 81)(16, 57)(17, 62)(18, 75)(19, 80)(20, 77)(21, 60)(22, 69)(23, 63)(24, 79)(25, 65)(26, 67)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.288
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-3, (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1, Y3^-1 * Y2^-2 * Y1 * Y2^-1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 19, 46, 7, 34, 12, 39, 5, 32)(3, 30, 9, 36, 20, 47, 14, 41, 23, 50, 26, 53, 16, 43, 24, 51, 15, 42)(6, 33, 11, 38, 22, 49, 17, 44, 25, 52, 27, 54, 21, 48, 13, 40, 18, 45)(55, 82, 57, 84, 67, 94, 66, 93, 78, 105, 81, 108, 73, 100, 80, 107, 71, 98, 58, 85, 68, 95, 65, 92, 56, 83, 63, 90, 72, 99, 59, 86, 69, 96, 75, 102, 61, 88, 70, 97, 79, 106, 64, 91, 77, 104, 76, 103, 62, 89, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 62)(6, 71)(7, 55)(8, 73)(9, 77)(10, 66)(11, 79)(12, 56)(13, 65)(14, 70)(15, 74)(16, 57)(17, 75)(18, 76)(19, 59)(20, 80)(21, 60)(22, 81)(23, 78)(24, 63)(25, 67)(26, 69)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.289
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3 * Y3, (Y1, Y3^-1), (Y3^-1, Y2), (R * Y3)^2, Y2^-2 * Y1 * Y2^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 16, 43, 4, 31, 10, 37, 5, 32)(3, 30, 9, 36, 20, 47, 15, 42, 23, 50, 26, 53, 13, 40, 22, 49, 14, 41)(6, 33, 11, 38, 21, 48, 19, 46, 25, 52, 27, 54, 17, 44, 24, 51, 18, 45)(55, 82, 57, 84, 65, 92, 56, 83, 63, 90, 75, 102, 62, 89, 74, 101, 73, 100, 61, 88, 69, 96, 79, 106, 66, 93, 77, 104, 81, 108, 70, 97, 80, 107, 71, 98, 58, 85, 67, 94, 78, 105, 64, 91, 76, 103, 72, 99, 59, 86, 68, 95, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 61)(5, 70)(6, 71)(7, 55)(8, 59)(9, 76)(10, 66)(11, 78)(12, 56)(13, 69)(14, 80)(15, 57)(16, 62)(17, 73)(18, 81)(19, 60)(20, 68)(21, 72)(22, 77)(23, 63)(24, 79)(25, 65)(26, 74)(27, 75)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.283
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1 * Y1, Y2^-3 * Y1^-1, (Y3^-1, Y2), (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 18, 45, 7, 34, 12, 39, 5, 32)(3, 30, 9, 36, 20, 47, 14, 41, 22, 49, 27, 54, 16, 43, 23, 50, 15, 42)(6, 33, 11, 38, 21, 48, 17, 44, 24, 51, 26, 53, 19, 46, 25, 52, 13, 40)(55, 82, 57, 84, 67, 94, 59, 86, 69, 96, 79, 106, 66, 93, 77, 104, 73, 100, 61, 88, 70, 97, 80, 107, 72, 99, 81, 108, 78, 105, 64, 91, 76, 103, 71, 98, 58, 85, 68, 95, 75, 102, 62, 89, 74, 101, 65, 92, 56, 83, 63, 90, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 62)(6, 71)(7, 55)(8, 72)(9, 76)(10, 66)(11, 78)(12, 56)(13, 75)(14, 70)(15, 74)(16, 57)(17, 73)(18, 59)(19, 60)(20, 81)(21, 80)(22, 77)(23, 63)(24, 79)(25, 65)(26, 67)(27, 69)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.285
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3 * Y3, (Y1, Y3), (Y3^-1, Y2), (R * Y2)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-2 * Y1^-1, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 17, 44, 4, 31, 10, 37, 5, 32)(3, 30, 9, 36, 22, 49, 16, 43, 26, 53, 20, 47, 14, 41, 25, 52, 15, 42)(6, 33, 11, 38, 23, 50, 21, 48, 13, 40, 24, 51, 18, 45, 27, 54, 19, 46)(55, 82, 57, 84, 67, 94, 66, 93, 80, 107, 73, 100, 59, 86, 69, 96, 75, 102, 61, 88, 70, 97, 81, 108, 64, 91, 79, 106, 77, 104, 62, 89, 76, 103, 72, 99, 58, 85, 68, 95, 65, 92, 56, 83, 63, 90, 78, 105, 71, 98, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 71)(6, 72)(7, 55)(8, 59)(9, 79)(10, 66)(11, 81)(12, 56)(13, 65)(14, 70)(15, 74)(16, 57)(17, 62)(18, 75)(19, 78)(20, 76)(21, 60)(22, 69)(23, 73)(24, 77)(25, 80)(26, 63)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.286
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, (Y3^-1, Y2), Y3^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y2^2 * Y1^-1, (Y3^-1 * Y1^-1)^9, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 19, 46, 7, 34, 12, 39, 5, 32)(3, 30, 9, 36, 22, 49, 14, 41, 20, 47, 26, 53, 16, 43, 24, 51, 15, 42)(6, 33, 11, 38, 23, 50, 17, 44, 25, 52, 13, 40, 21, 48, 27, 54, 18, 45)(55, 82, 57, 84, 67, 94, 73, 100, 80, 107, 65, 92, 56, 83, 63, 90, 75, 102, 61, 88, 70, 97, 77, 104, 62, 89, 76, 103, 81, 108, 66, 93, 78, 105, 71, 98, 58, 85, 68, 95, 72, 99, 59, 86, 69, 96, 79, 106, 64, 91, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 62)(6, 71)(7, 55)(8, 73)(9, 74)(10, 66)(11, 79)(12, 56)(13, 72)(14, 70)(15, 76)(16, 57)(17, 75)(18, 77)(19, 59)(20, 78)(21, 60)(22, 80)(23, 67)(24, 63)(25, 81)(26, 69)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.282
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3 * Y3^-1, (Y3, Y2), (Y1, Y3), (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^2 * Y2^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, 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 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 19, 46, 7, 34, 12, 39, 5, 32)(3, 30, 9, 36, 22, 49, 14, 41, 23, 50, 27, 54, 16, 43, 20, 47, 15, 42)(6, 33, 11, 38, 13, 40, 17, 44, 24, 51, 26, 53, 21, 48, 25, 52, 18, 45)(55, 82, 57, 84, 67, 94, 62, 89, 76, 103, 78, 105, 64, 91, 77, 104, 75, 102, 61, 88, 70, 97, 72, 99, 59, 86, 69, 96, 65, 92, 56, 83, 63, 90, 71, 98, 58, 85, 68, 95, 80, 107, 73, 100, 81, 108, 79, 106, 66, 93, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 62)(6, 71)(7, 55)(8, 73)(9, 77)(10, 66)(11, 78)(12, 56)(13, 80)(14, 70)(15, 76)(16, 57)(17, 75)(18, 67)(19, 59)(20, 63)(21, 60)(22, 81)(23, 74)(24, 79)(25, 65)(26, 72)(27, 69)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.284
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3), Y3^-1 * Y1^-3, (Y3^-1, Y2^-1), (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^3 * Y1^2, Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 17, 44, 4, 31, 10, 37, 5, 32)(3, 30, 9, 36, 20, 47, 16, 43, 24, 51, 26, 53, 14, 41, 23, 50, 15, 42)(6, 33, 11, 38, 22, 49, 21, 48, 25, 52, 27, 54, 18, 45, 13, 40, 19, 46)(55, 82, 57, 84, 67, 94, 64, 91, 77, 104, 81, 108, 71, 98, 80, 107, 75, 102, 61, 88, 70, 97, 65, 92, 56, 83, 63, 90, 73, 100, 59, 86, 69, 96, 72, 99, 58, 85, 68, 95, 79, 106, 66, 93, 78, 105, 76, 103, 62, 89, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 71)(6, 72)(7, 55)(8, 59)(9, 77)(10, 66)(11, 67)(12, 56)(13, 79)(14, 70)(15, 80)(16, 57)(17, 62)(18, 75)(19, 81)(20, 69)(21, 60)(22, 73)(23, 78)(24, 63)(25, 65)(26, 74)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.281
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y2^-3 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 12, 39, 18, 45, 22, 49, 16, 43, 10, 37, 4, 31)(3, 30, 7, 34, 13, 40, 19, 46, 24, 51, 26, 53, 21, 48, 15, 42, 9, 36)(5, 32, 8, 35, 14, 41, 20, 47, 25, 52, 27, 54, 23, 50, 17, 44, 11, 38)(55, 82, 57, 84, 62, 89, 56, 83, 61, 88, 68, 95, 60, 87, 67, 94, 74, 101, 66, 93, 73, 100, 79, 106, 72, 99, 78, 105, 81, 108, 76, 103, 80, 107, 77, 104, 70, 97, 75, 102, 71, 98, 64, 91, 69, 96, 65, 92, 58, 85, 63, 90, 59, 86)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 66)(7, 67)(8, 68)(9, 57)(10, 58)(11, 59)(12, 72)(13, 73)(14, 74)(15, 63)(16, 64)(17, 65)(18, 76)(19, 78)(20, 79)(21, 69)(22, 70)(23, 71)(24, 80)(25, 81)(26, 75)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.305
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y2^2 * Y3^-1 * Y2, Y2^-2 * Y3 * Y2^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-4, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 4, 31, 7, 34, 11, 38, 17, 44, 5, 32)(3, 30, 9, 36, 20, 47, 25, 52, 13, 40, 15, 42, 22, 49, 26, 53, 14, 41)(6, 33, 10, 37, 21, 48, 24, 51, 12, 39, 19, 46, 23, 50, 27, 54, 18, 45)(55, 82, 57, 84, 66, 93, 58, 85, 67, 94, 72, 99, 59, 86, 68, 95, 78, 105, 70, 97, 79, 106, 81, 108, 71, 98, 80, 107, 75, 102, 62, 89, 74, 101, 77, 104, 65, 92, 76, 103, 64, 91, 56, 83, 63, 90, 73, 100, 61, 88, 69, 96, 60, 87)
	L = (1, 58)(2, 61)(3, 67)(4, 59)(5, 70)(6, 66)(7, 55)(8, 65)(9, 69)(10, 73)(11, 56)(12, 72)(13, 68)(14, 79)(15, 57)(16, 71)(17, 62)(18, 78)(19, 60)(20, 76)(21, 77)(22, 63)(23, 64)(24, 81)(25, 80)(26, 74)(27, 75)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.307
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y1^-1), (Y2^-1, Y3), Y2 * Y3^-1 * Y2^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y3^-4 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 7, 34, 10, 37, 19, 46, 15, 42, 16, 43, 4, 31, 5, 32)(3, 30, 8, 35, 14, 41, 20, 47, 26, 53, 24, 51, 25, 52, 12, 39, 13, 40)(6, 33, 9, 36, 18, 45, 21, 48, 27, 54, 22, 49, 23, 50, 11, 38, 17, 44)(55, 82, 57, 84, 65, 92, 58, 85, 66, 93, 76, 103, 69, 96, 78, 105, 75, 102, 64, 91, 74, 101, 63, 90, 56, 83, 62, 89, 71, 98, 59, 86, 67, 94, 77, 104, 70, 97, 79, 106, 81, 108, 73, 100, 80, 107, 72, 99, 61, 88, 68, 95, 60, 87)
	L = (1, 58)(2, 59)(3, 66)(4, 69)(5, 70)(6, 65)(7, 55)(8, 67)(9, 71)(10, 56)(11, 76)(12, 78)(13, 79)(14, 57)(15, 64)(16, 73)(17, 77)(18, 60)(19, 61)(20, 62)(21, 63)(22, 75)(23, 81)(24, 74)(25, 80)(26, 68)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.306
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 12, 39, 18, 45, 23, 50, 17, 44, 11, 38, 4, 31)(3, 30, 7, 34, 13, 40, 19, 46, 24, 51, 27, 54, 22, 49, 16, 43, 10, 37)(5, 32, 8, 35, 14, 41, 20, 47, 25, 52, 26, 53, 21, 48, 15, 42, 9, 36)(55, 82, 57, 84, 63, 90, 58, 85, 64, 91, 69, 96, 65, 92, 70, 97, 75, 102, 71, 98, 76, 103, 80, 107, 77, 104, 81, 108, 79, 106, 72, 99, 78, 105, 74, 101, 66, 93, 73, 100, 68, 95, 60, 87, 67, 94, 62, 89, 56, 83, 61, 88, 59, 86)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 66)(7, 67)(8, 68)(9, 59)(10, 57)(11, 58)(12, 72)(13, 73)(14, 74)(15, 63)(16, 64)(17, 65)(18, 77)(19, 78)(20, 79)(21, 69)(22, 70)(23, 71)(24, 81)(25, 80)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.301
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y3^-1 * Y2^-3, (Y2, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y3^-1 * Y1^4 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 4, 31, 7, 34, 11, 38, 18, 45, 5, 32)(3, 30, 9, 36, 20, 47, 24, 51, 13, 40, 15, 42, 23, 50, 25, 52, 14, 41)(6, 33, 10, 37, 21, 48, 26, 53, 17, 44, 12, 39, 22, 49, 27, 54, 19, 46)(55, 82, 57, 84, 66, 93, 61, 88, 69, 96, 64, 91, 56, 83, 63, 90, 76, 103, 65, 92, 77, 104, 75, 102, 62, 89, 74, 101, 81, 108, 72, 99, 79, 106, 80, 107, 70, 97, 78, 105, 73, 100, 59, 86, 68, 95, 71, 98, 58, 85, 67, 94, 60, 87)
	L = (1, 58)(2, 61)(3, 67)(4, 59)(5, 70)(6, 71)(7, 55)(8, 65)(9, 69)(10, 66)(11, 56)(12, 60)(13, 68)(14, 78)(15, 57)(16, 72)(17, 73)(18, 62)(19, 80)(20, 77)(21, 76)(22, 64)(23, 63)(24, 79)(25, 74)(26, 81)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.300
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y3^-1 * Y2^-3, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), (Y1^-1, Y2^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^-4 * 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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 7, 34, 10, 37, 19, 46, 15, 42, 16, 43, 4, 31, 5, 32)(3, 30, 8, 35, 14, 41, 21, 48, 25, 52, 23, 50, 24, 51, 12, 39, 13, 40)(6, 33, 9, 36, 11, 38, 20, 47, 22, 49, 26, 53, 27, 54, 17, 44, 18, 45)(55, 82, 57, 84, 65, 92, 61, 88, 68, 95, 76, 103, 73, 100, 79, 106, 81, 108, 70, 97, 78, 105, 72, 99, 59, 86, 67, 94, 63, 90, 56, 83, 62, 89, 74, 101, 64, 91, 75, 102, 80, 107, 69, 96, 77, 104, 71, 98, 58, 85, 66, 93, 60, 87)
	L = (1, 58)(2, 59)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 67)(9, 72)(10, 56)(11, 60)(12, 77)(13, 78)(14, 57)(15, 64)(16, 73)(17, 80)(18, 81)(19, 61)(20, 63)(21, 62)(22, 65)(23, 75)(24, 79)(25, 68)(26, 74)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.299
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y2^3 * Y1^-1, Y1 * Y2^-3, (Y2, Y3^-1), (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y1 * 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, 7, 34, 10, 37, 19, 46, 14, 41, 15, 42, 4, 31, 5, 32)(3, 30, 8, 35, 13, 40, 20, 47, 24, 51, 22, 49, 23, 50, 11, 38, 12, 39)(6, 33, 9, 36, 18, 45, 21, 48, 27, 54, 25, 52, 26, 53, 16, 43, 17, 44)(55, 82, 57, 84, 63, 90, 56, 83, 62, 89, 72, 99, 61, 88, 67, 94, 75, 102, 64, 91, 74, 101, 81, 108, 73, 100, 78, 105, 79, 106, 68, 95, 76, 103, 80, 107, 69, 96, 77, 104, 70, 97, 58, 85, 65, 92, 71, 98, 59, 86, 66, 93, 60, 87)
	L = (1, 58)(2, 59)(3, 65)(4, 68)(5, 69)(6, 70)(7, 55)(8, 66)(9, 71)(10, 56)(11, 76)(12, 77)(13, 57)(14, 64)(15, 73)(16, 79)(17, 80)(18, 60)(19, 61)(20, 62)(21, 63)(22, 74)(23, 78)(24, 67)(25, 75)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.298
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y2 * Y3^-1)^2, Y2^6 * Y1, Y1^2 * Y2^-1 * Y1^2 * Y2^-2, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 19, 46, 25, 52, 22, 49, 11, 38, 4, 31)(3, 30, 7, 34, 15, 42, 26, 53, 24, 51, 13, 40, 18, 45, 21, 48, 10, 37)(5, 32, 8, 35, 16, 43, 20, 47, 9, 36, 17, 44, 27, 54, 23, 50, 12, 39)(55, 82, 57, 84, 63, 90, 73, 100, 78, 105, 66, 93, 58, 85, 64, 91, 74, 101, 68, 95, 80, 107, 77, 104, 65, 92, 75, 102, 70, 97, 60, 87, 69, 96, 81, 108, 76, 103, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 79, 106, 67, 94, 59, 86)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 73)(15, 80)(16, 74)(17, 81)(18, 75)(19, 79)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 76)(26, 78)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.297
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y1), (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, Y2^-3 * Y1^-2, Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1, Y1^-4 * Y3, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-2, Y1^-1 * Y2 * Y3 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 4, 31, 7, 34, 11, 38, 18, 45, 5, 32)(3, 30, 9, 36, 20, 47, 24, 51, 13, 40, 15, 42, 23, 50, 27, 54, 14, 41)(6, 33, 10, 37, 22, 49, 26, 53, 17, 44, 21, 48, 25, 52, 12, 39, 19, 46)(55, 82, 57, 84, 66, 93, 72, 99, 81, 108, 75, 102, 61, 88, 69, 96, 80, 107, 70, 97, 78, 105, 64, 91, 56, 83, 63, 90, 73, 100, 59, 86, 68, 95, 79, 106, 65, 92, 77, 104, 71, 98, 58, 85, 67, 94, 76, 103, 62, 89, 74, 101, 60, 87)
	L = (1, 58)(2, 61)(3, 67)(4, 59)(5, 70)(6, 71)(7, 55)(8, 65)(9, 69)(10, 75)(11, 56)(12, 76)(13, 68)(14, 78)(15, 57)(16, 72)(17, 73)(18, 62)(19, 80)(20, 77)(21, 60)(22, 79)(23, 63)(24, 81)(25, 64)(26, 66)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.296
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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^-1 * Y1^-1 * Y2^-2, Y2^-3 * Y1^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, Y1^-1 * Y3^4, Y3 * Y2 * Y3 * Y2 * Y3^2 * 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^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 7, 34, 10, 37, 19, 46, 15, 42, 16, 43, 4, 31, 5, 32)(3, 30, 8, 35, 14, 41, 20, 47, 25, 52, 23, 50, 24, 51, 12, 39, 13, 40)(6, 33, 9, 36, 18, 45, 21, 48, 27, 54, 26, 53, 22, 49, 17, 44, 11, 38)(55, 82, 57, 84, 65, 92, 59, 86, 67, 94, 71, 98, 58, 85, 66, 93, 76, 103, 70, 97, 78, 105, 80, 107, 69, 96, 77, 104, 81, 108, 73, 100, 79, 106, 75, 102, 64, 91, 74, 101, 72, 99, 61, 88, 68, 95, 63, 90, 56, 83, 62, 89, 60, 87)
	L = (1, 58)(2, 59)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 67)(9, 65)(10, 56)(11, 76)(12, 77)(13, 78)(14, 57)(15, 64)(16, 73)(17, 80)(18, 60)(19, 61)(20, 62)(21, 63)(22, 81)(23, 74)(24, 79)(25, 68)(26, 75)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.309
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y2 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, Y1^2 * Y3 * Y1^-2 * Y3^-1, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2^2 * Y1^-1 * Y2^4, Y2 * Y3 * Y1^2 * Y2^2 * Y1, (Y3^-1 * Y1^-1)^9, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 25, 52, 19, 46, 22, 49, 11, 38, 4, 31)(3, 30, 7, 34, 15, 42, 24, 51, 13, 40, 18, 45, 27, 54, 21, 48, 10, 37)(5, 32, 8, 35, 16, 43, 26, 53, 20, 47, 9, 36, 17, 44, 23, 50, 12, 39)(55, 82, 57, 84, 63, 90, 73, 100, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 76, 103, 81, 108, 70, 97, 60, 87, 69, 96, 77, 104, 65, 92, 75, 102, 80, 107, 68, 95, 78, 105, 66, 93, 58, 85, 64, 91, 74, 101, 79, 106, 67, 94, 59, 86)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 79)(15, 78)(16, 80)(17, 77)(18, 81)(19, 76)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 73)(26, 74)(27, 75)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.308
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y3, (R * Y1)^2, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1^-1 * Y2, Y1^-4 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^24 * Y1^2, 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^-2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 4, 31, 7, 34, 11, 38, 18, 45, 5, 32)(3, 30, 9, 36, 22, 49, 27, 54, 13, 40, 15, 42, 24, 51, 20, 47, 14, 41)(6, 33, 10, 37, 12, 39, 23, 50, 17, 44, 21, 48, 25, 52, 26, 53, 19, 46)(55, 82, 57, 84, 66, 93, 62, 89, 76, 103, 71, 98, 58, 85, 67, 94, 79, 106, 65, 92, 78, 105, 73, 100, 59, 86, 68, 95, 64, 91, 56, 83, 63, 90, 77, 104, 70, 97, 81, 108, 75, 102, 61, 88, 69, 96, 80, 107, 72, 99, 74, 101, 60, 87)
	L = (1, 58)(2, 61)(3, 67)(4, 59)(5, 70)(6, 71)(7, 55)(8, 65)(9, 69)(10, 75)(11, 56)(12, 79)(13, 68)(14, 81)(15, 57)(16, 72)(17, 73)(18, 62)(19, 77)(20, 76)(21, 60)(22, 78)(23, 80)(24, 63)(25, 64)(26, 66)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.310
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y1^-1 * Y2^-2, Y2^-3 * Y1^-1, (Y2, Y3^-1), (Y1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-4 * Y3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 4, 31, 7, 34, 11, 38, 18, 45, 5, 32)(3, 30, 9, 36, 20, 47, 26, 53, 13, 40, 15, 42, 22, 49, 27, 54, 14, 41)(6, 33, 10, 37, 21, 48, 24, 51, 17, 44, 19, 46, 23, 50, 25, 52, 12, 39)(55, 82, 57, 84, 66, 93, 59, 86, 68, 95, 79, 106, 72, 99, 81, 108, 77, 104, 65, 92, 76, 103, 73, 100, 61, 88, 69, 96, 71, 98, 58, 85, 67, 94, 78, 105, 70, 97, 80, 107, 75, 102, 62, 89, 74, 101, 64, 91, 56, 83, 63, 90, 60, 87)
	L = (1, 58)(2, 61)(3, 67)(4, 59)(5, 70)(6, 71)(7, 55)(8, 65)(9, 69)(10, 73)(11, 56)(12, 78)(13, 68)(14, 80)(15, 57)(16, 72)(17, 66)(18, 62)(19, 60)(20, 76)(21, 77)(22, 63)(23, 64)(24, 79)(25, 75)(26, 81)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.293
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y1, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y3^-4, Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 7, 34, 10, 37, 21, 48, 15, 42, 16, 43, 4, 31, 5, 32)(3, 30, 8, 35, 14, 41, 23, 50, 19, 46, 24, 51, 27, 54, 12, 39, 13, 40)(6, 33, 9, 36, 20, 47, 25, 52, 26, 53, 11, 38, 22, 49, 17, 44, 18, 45)(55, 82, 57, 84, 65, 92, 69, 96, 78, 105, 63, 90, 56, 83, 62, 89, 76, 103, 70, 97, 81, 108, 74, 101, 61, 88, 68, 95, 71, 98, 58, 85, 66, 93, 79, 106, 64, 91, 77, 104, 72, 99, 59, 86, 67, 94, 80, 107, 75, 102, 73, 100, 60, 87)
	L = (1, 58)(2, 59)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 67)(9, 72)(10, 56)(11, 79)(12, 78)(13, 81)(14, 57)(15, 64)(16, 75)(17, 65)(18, 76)(19, 68)(20, 60)(21, 61)(22, 80)(23, 62)(24, 77)(25, 63)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.295
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y1^-2 * Y2^3, (R * Y2 * Y3^-1)^2, Y1^-9, Y1^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 20, 47, 23, 50, 17, 44, 11, 38, 4, 31)(3, 30, 7, 34, 15, 42, 21, 48, 26, 53, 25, 52, 19, 46, 13, 40, 10, 37)(5, 32, 8, 35, 9, 36, 16, 43, 22, 49, 27, 54, 24, 51, 18, 45, 12, 39)(55, 82, 57, 84, 63, 90, 60, 87, 69, 96, 76, 103, 74, 101, 80, 107, 78, 105, 71, 98, 73, 100, 66, 93, 58, 85, 64, 91, 62, 89, 56, 83, 61, 88, 70, 97, 68, 95, 75, 102, 81, 108, 77, 104, 79, 106, 72, 99, 65, 92, 67, 94, 59, 86)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 63)(9, 70)(10, 57)(11, 58)(12, 59)(13, 64)(14, 74)(15, 75)(16, 76)(17, 65)(18, 66)(19, 67)(20, 77)(21, 80)(22, 81)(23, 71)(24, 72)(25, 73)(26, 79)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.294
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), (Y1^-1, Y2), (R * Y2)^2, Y3 * Y2^2 * Y3 * Y2, Y1^-4 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 15, 42, 4, 31, 7, 34, 11, 38, 17, 44, 5, 32)(3, 30, 9, 36, 20, 47, 24, 51, 12, 39, 14, 41, 22, 49, 25, 52, 13, 40)(6, 33, 10, 37, 21, 48, 26, 53, 16, 43, 19, 46, 23, 50, 27, 54, 18, 45)(55, 82, 57, 84, 64, 91, 56, 83, 63, 90, 75, 102, 62, 89, 74, 101, 80, 107, 69, 96, 78, 105, 70, 97, 58, 85, 66, 93, 73, 100, 61, 88, 68, 95, 77, 104, 65, 92, 76, 103, 81, 108, 71, 98, 79, 106, 72, 99, 59, 86, 67, 94, 60, 87)
	L = (1, 58)(2, 61)(3, 66)(4, 59)(5, 69)(6, 70)(7, 55)(8, 65)(9, 68)(10, 73)(11, 56)(12, 67)(13, 78)(14, 57)(15, 71)(16, 72)(17, 62)(18, 80)(19, 60)(20, 76)(21, 77)(22, 63)(23, 64)(24, 79)(25, 74)(26, 81)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.303
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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^-1 * Y1^-1, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y2 * Y3 * Y2^2 * Y3, Y3^-4 * Y1, 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 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 7, 34, 10, 37, 21, 48, 15, 42, 16, 43, 4, 31, 5, 32)(3, 30, 8, 35, 14, 41, 23, 50, 27, 54, 19, 46, 24, 51, 12, 39, 13, 40)(6, 33, 9, 36, 20, 47, 25, 52, 11, 38, 22, 49, 26, 53, 17, 44, 18, 45)(55, 82, 57, 84, 65, 92, 75, 102, 81, 108, 72, 99, 59, 86, 67, 94, 79, 106, 64, 91, 77, 104, 71, 98, 58, 85, 66, 93, 74, 101, 61, 88, 68, 95, 80, 107, 70, 97, 78, 105, 63, 90, 56, 83, 62, 89, 76, 103, 69, 96, 73, 100, 60, 87)
	L = (1, 58)(2, 59)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 67)(9, 72)(10, 56)(11, 74)(12, 73)(13, 78)(14, 57)(15, 64)(16, 75)(17, 76)(18, 80)(19, 77)(20, 60)(21, 61)(22, 79)(23, 62)(24, 81)(25, 63)(26, 65)(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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.302
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y2^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^9, Y1^9, Y1^-3 * Y2^2 * Y1^-4 * Y2, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 20, 47, 25, 52, 19, 46, 11, 38, 4, 31)(3, 30, 7, 34, 13, 40, 16, 43, 22, 49, 27, 54, 24, 51, 18, 45, 10, 37)(5, 32, 8, 35, 15, 42, 21, 48, 26, 53, 23, 50, 17, 44, 9, 36, 12, 39)(55, 82, 57, 84, 63, 90, 65, 92, 72, 99, 77, 104, 79, 106, 81, 108, 75, 102, 68, 95, 70, 97, 62, 89, 56, 83, 61, 88, 66, 93, 58, 85, 64, 91, 71, 98, 73, 100, 78, 105, 80, 107, 74, 101, 76, 103, 69, 96, 60, 87, 67, 94, 59, 86)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 67)(8, 69)(9, 66)(10, 57)(11, 58)(12, 59)(13, 70)(14, 74)(15, 75)(16, 76)(17, 63)(18, 64)(19, 65)(20, 79)(21, 80)(22, 81)(23, 71)(24, 72)(25, 73)(26, 77)(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) :: { ( 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, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.304
Graph:: bipartite
	v = 4 e = 54 f = 4
	degree seq :: [ 18^3, 54 ]

E24.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, Y3 * Y2^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^2 * Y2 * Y3^-1 * Y1^-1 * Y2, Y1^-6 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 24, 51, 21, 48, 13, 40, 6, 33, 11, 38, 19, 46, 27, 54, 23, 50, 15, 42, 7, 34, 4, 31, 10, 37, 18, 45, 26, 53, 20, 47, 12, 39, 3, 30, 9, 36, 17, 44, 25, 52, 22, 49, 14, 41, 5, 32)(55, 82, 57, 84, 61, 88, 67, 94, 59, 86, 66, 93, 69, 96, 75, 102, 68, 95, 74, 101, 77, 104, 78, 105, 76, 103, 80, 107, 81, 108, 70, 97, 79, 106, 72, 99, 73, 100, 62, 89, 71, 98, 64, 91, 65, 92, 56, 83, 63, 90, 58, 85, 60, 87)
	L = (1, 58)(2, 64)(3, 60)(4, 56)(5, 61)(6, 63)(7, 55)(8, 72)(9, 65)(10, 62)(11, 71)(12, 67)(13, 57)(14, 69)(15, 59)(16, 80)(17, 73)(18, 70)(19, 79)(20, 75)(21, 66)(22, 77)(23, 68)(24, 74)(25, 81)(26, 78)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.272
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1, Y1^-1), (R * Y2)^2, Y3 * Y1^-3 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y3^-2 * Y1^-1 * Y3^-2, Y2 * Y3^-2 * Y2 * Y1^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 24, 51, 27, 54, 20, 47, 7, 34, 12, 39, 19, 46, 6, 33, 11, 38, 23, 50, 15, 42, 21, 48, 25, 52, 13, 40, 3, 30, 9, 36, 16, 43, 4, 31, 10, 37, 22, 49, 26, 53, 14, 41, 18, 45, 5, 32)(55, 82, 57, 84, 61, 88, 68, 95, 75, 102, 78, 105, 64, 91, 65, 92, 56, 83, 63, 90, 66, 93, 72, 99, 79, 106, 81, 108, 76, 103, 77, 104, 62, 89, 70, 97, 73, 100, 59, 86, 67, 94, 74, 101, 80, 107, 69, 96, 71, 98, 58, 85, 60, 87)
	L = (1, 58)(2, 64)(3, 60)(4, 69)(5, 70)(6, 71)(7, 55)(8, 76)(9, 65)(10, 75)(11, 78)(12, 56)(13, 73)(14, 57)(15, 74)(16, 77)(17, 80)(18, 63)(19, 62)(20, 59)(21, 61)(22, 79)(23, 81)(24, 68)(25, 66)(26, 67)(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) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.273
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y2^2, (Y1^-1, Y2), (R * Y3)^2, (Y1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y1^2 * Y3 * Y2^-1 * Y3^2, Y3^4 * Y1^-1 * Y3, Y2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 25, 52, 21, 48, 26, 53, 13, 40, 3, 30, 9, 36, 16, 43, 4, 31, 10, 37, 22, 49, 27, 54, 20, 47, 7, 34, 12, 39, 19, 46, 6, 33, 11, 38, 23, 50, 15, 42, 24, 51, 14, 41, 18, 45, 5, 32)(55, 82, 57, 84, 61, 88, 68, 95, 75, 102, 76, 103, 77, 104, 62, 89, 70, 97, 73, 100, 59, 86, 67, 94, 74, 101, 78, 105, 79, 106, 64, 91, 65, 92, 56, 83, 63, 90, 66, 93, 72, 99, 80, 107, 81, 108, 69, 96, 71, 98, 58, 85, 60, 87)
	L = (1, 58)(2, 64)(3, 60)(4, 69)(5, 70)(6, 71)(7, 55)(8, 76)(9, 65)(10, 78)(11, 79)(12, 56)(13, 73)(14, 57)(15, 80)(16, 77)(17, 81)(18, 63)(19, 62)(20, 59)(21, 61)(22, 68)(23, 75)(24, 67)(25, 74)(26, 66)(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) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.270
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y2^2, Y1^-2 * Y2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-7 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 7, 34, 10, 37, 11, 38, 16, 43, 15, 42, 18, 45, 19, 46, 24, 51, 23, 50, 26, 53, 27, 54, 20, 47, 25, 52, 22, 49, 21, 48, 12, 39, 17, 44, 14, 41, 13, 40, 4, 31, 9, 36, 6, 33, 5, 32)(55, 82, 57, 84, 61, 88, 65, 92, 69, 96, 73, 100, 77, 104, 81, 108, 79, 106, 75, 102, 71, 98, 67, 94, 63, 90, 59, 86, 56, 83, 62, 89, 64, 91, 70, 97, 72, 99, 78, 105, 80, 107, 74, 101, 76, 103, 66, 93, 68, 95, 58, 85, 60, 87)
	L = (1, 58)(2, 63)(3, 60)(4, 66)(5, 67)(6, 68)(7, 55)(8, 59)(9, 71)(10, 56)(11, 57)(12, 74)(13, 75)(14, 76)(15, 61)(16, 62)(17, 79)(18, 64)(19, 65)(20, 78)(21, 81)(22, 80)(23, 69)(24, 70)(25, 77)(26, 72)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.274
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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 * Y3 * Y1^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, Y3^-1 * Y2^4, Y3^3 * Y2^-1 * Y1^-1, Y3 * Y1^-2 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y1^17 * Y2^2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 22, 49, 15, 42, 3, 30, 9, 36, 7, 34, 12, 39, 24, 51, 13, 40, 25, 52, 16, 43, 17, 44, 21, 48, 19, 46, 26, 53, 20, 47, 27, 54, 18, 45, 4, 31, 10, 37, 6, 33, 11, 38, 23, 50, 14, 41, 5, 32)(55, 82, 57, 84, 67, 94, 73, 100, 58, 85, 68, 95, 76, 103, 66, 93, 71, 98, 81, 108, 65, 92, 56, 83, 63, 90, 79, 106, 80, 107, 64, 91, 59, 86, 69, 96, 78, 105, 75, 102, 72, 99, 77, 104, 62, 89, 61, 88, 70, 97, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 73)(7, 55)(8, 60)(9, 59)(10, 75)(11, 80)(12, 56)(13, 76)(14, 81)(15, 77)(16, 57)(17, 63)(18, 70)(19, 66)(20, 67)(21, 61)(22, 65)(23, 74)(24, 62)(25, 69)(26, 78)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.269
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 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, (Y3^-1, Y2), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y1^-3 * Y2^-3, Y3^-1 * Y2^-5, (Y3^-1 * Y1^-1)^9, (Y2^-1 * Y3)^9, Y1^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 22, 49, 27, 54, 21, 48, 16, 43, 14, 41, 3, 30, 9, 36, 23, 50, 20, 47, 19, 46, 7, 34, 4, 31, 10, 37, 12, 39, 24, 51, 18, 45, 6, 33, 11, 38, 15, 42, 13, 40, 25, 52, 26, 53, 17, 44, 5, 32)(55, 82, 57, 84, 66, 93, 80, 107, 75, 102, 61, 88, 69, 96, 62, 89, 77, 104, 72, 99, 59, 86, 68, 95, 64, 91, 79, 106, 81, 108, 73, 100, 65, 92, 56, 83, 63, 90, 78, 105, 71, 98, 70, 97, 58, 85, 67, 94, 76, 103, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 56)(5, 61)(6, 70)(7, 55)(8, 66)(9, 79)(10, 62)(11, 68)(12, 76)(13, 63)(14, 69)(15, 57)(16, 65)(17, 73)(18, 75)(19, 59)(20, 71)(21, 60)(22, 78)(23, 80)(24, 81)(25, 77)(26, 74)(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) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.271
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, Y2^-2 * Y1^-2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y2^-2 * Y1^5, Y2^-2 * Y1 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 16, 44, 23, 51, 11, 39, 5, 33)(3, 31, 8, 36, 6, 34, 10, 38, 18, 46, 21, 49, 13, 41)(4, 32, 9, 37, 17, 45, 25, 53, 28, 56, 22, 50, 14, 42)(12, 40, 19, 47, 15, 43, 20, 48, 26, 54, 27, 55, 24, 52)(57, 85, 59, 87, 67, 95, 77, 105, 72, 100, 66, 94, 58, 86, 64, 92, 61, 89, 69, 97, 79, 107, 74, 102, 63, 91, 62, 90)(60, 88, 68, 96, 78, 106, 83, 111, 81, 109, 76, 104, 65, 93, 75, 103, 70, 98, 80, 108, 84, 112, 82, 110, 73, 101, 71, 99)
	L = (1, 60)(2, 65)(3, 68)(4, 57)(5, 70)(6, 71)(7, 73)(8, 75)(9, 58)(10, 76)(11, 78)(12, 59)(13, 80)(14, 61)(15, 62)(16, 81)(17, 63)(18, 82)(19, 64)(20, 66)(21, 83)(22, 67)(23, 84)(24, 69)(25, 72)(26, 74)(27, 77)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.330
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^2, Y2 * Y3 * Y2^-1 * Y3, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 21, 49, 13, 41, 5, 33)(3, 31, 8, 36, 16, 44, 23, 51, 22, 50, 14, 42, 6, 34)(4, 32, 9, 37, 17, 45, 24, 52, 26, 54, 19, 47, 11, 39)(10, 38, 18, 46, 25, 53, 28, 56, 27, 55, 20, 48, 12, 40)(57, 85, 59, 87, 58, 86, 64, 92, 63, 91, 72, 100, 71, 99, 79, 107, 77, 105, 78, 106, 69, 97, 70, 98, 61, 89, 62, 90)(60, 88, 66, 94, 65, 93, 74, 102, 73, 101, 81, 109, 80, 108, 84, 112, 82, 110, 83, 111, 75, 103, 76, 104, 67, 95, 68, 96)
	L = (1, 60)(2, 65)(3, 66)(4, 57)(5, 67)(6, 68)(7, 73)(8, 74)(9, 58)(10, 59)(11, 61)(12, 62)(13, 75)(14, 76)(15, 80)(16, 81)(17, 63)(18, 64)(19, 69)(20, 70)(21, 82)(22, 83)(23, 84)(24, 71)(25, 72)(26, 77)(27, 78)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.334
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 22, 50, 14, 42, 5, 33)(3, 31, 6, 34, 9, 37, 17, 45, 24, 52, 20, 48, 11, 39)(4, 32, 8, 36, 16, 44, 23, 51, 27, 55, 21, 49, 12, 40)(10, 38, 13, 41, 18, 46, 25, 53, 28, 56, 26, 54, 19, 47)(57, 85, 59, 87, 61, 89, 67, 95, 70, 98, 76, 104, 78, 106, 80, 108, 71, 99, 73, 101, 63, 91, 65, 93, 58, 86, 62, 90)(60, 88, 66, 94, 68, 96, 75, 103, 77, 105, 82, 110, 83, 111, 84, 112, 79, 107, 81, 109, 72, 100, 74, 102, 64, 92, 69, 97)
	L = (1, 60)(2, 64)(3, 66)(4, 57)(5, 68)(6, 69)(7, 72)(8, 58)(9, 74)(10, 59)(11, 75)(12, 61)(13, 62)(14, 77)(15, 79)(16, 63)(17, 81)(18, 65)(19, 67)(20, 82)(21, 70)(22, 83)(23, 71)(24, 84)(25, 73)(26, 76)(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) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.333
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^2 * Y2^-1 * Y1 * Y2^-1, Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 11, 39, 18, 46, 16, 44, 5, 33)(3, 31, 8, 36, 19, 47, 17, 45, 6, 34, 10, 38, 13, 41)(4, 32, 9, 37, 20, 48, 23, 51, 27, 55, 25, 53, 14, 42)(12, 40, 21, 49, 28, 56, 26, 54, 15, 43, 22, 50, 24, 52)(57, 85, 59, 87, 67, 95, 73, 101, 61, 89, 69, 97, 63, 91, 75, 103, 72, 100, 66, 94, 58, 86, 64, 92, 74, 102, 62, 90)(60, 88, 68, 96, 79, 107, 82, 110, 70, 98, 80, 108, 76, 104, 84, 112, 81, 109, 78, 106, 65, 93, 77, 105, 83, 111, 71, 99)
	L = (1, 60)(2, 65)(3, 68)(4, 57)(5, 70)(6, 71)(7, 76)(8, 77)(9, 58)(10, 78)(11, 79)(12, 59)(13, 80)(14, 61)(15, 62)(16, 81)(17, 82)(18, 83)(19, 84)(20, 63)(21, 64)(22, 66)(23, 67)(24, 69)(25, 72)(26, 73)(27, 74)(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) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.331
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y3 * Y1^-1 * Y3, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y2^-4 * Y1, Y2 * Y1 * Y2 * Y1^2, Y1^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 18, 46, 11, 39, 16, 44, 5, 33)(3, 31, 8, 36, 17, 45, 6, 34, 10, 38, 20, 48, 13, 41)(4, 32, 9, 37, 19, 47, 27, 55, 23, 51, 25, 53, 14, 42)(12, 40, 21, 49, 26, 54, 15, 43, 22, 50, 28, 56, 24, 52)(57, 85, 59, 87, 67, 95, 66, 94, 58, 86, 64, 92, 72, 100, 76, 104, 63, 91, 73, 101, 61, 89, 69, 97, 74, 102, 62, 90)(60, 88, 68, 96, 79, 107, 78, 106, 65, 93, 77, 105, 81, 109, 84, 112, 75, 103, 82, 110, 70, 98, 80, 108, 83, 111, 71, 99)
	L = (1, 60)(2, 65)(3, 68)(4, 57)(5, 70)(6, 71)(7, 75)(8, 77)(9, 58)(10, 78)(11, 79)(12, 59)(13, 80)(14, 61)(15, 62)(16, 81)(17, 82)(18, 83)(19, 63)(20, 84)(21, 64)(22, 66)(23, 67)(24, 69)(25, 72)(26, 73)(27, 74)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.332
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^2, (Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1)^2, Y1^-2 * Y2^-2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2^-2 * Y3^-2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, Y3^2 * Y1^5, Y3^2 * Y1 * Y3^2 * Y2^-2, Y3^3 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^10 * Y1 * Y3^2, (Y3 * Y2^-1)^14, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 26, 54, 13, 41, 5, 33)(3, 31, 9, 37, 6, 34, 11, 39, 21, 49, 25, 53, 15, 43)(4, 32, 10, 38, 20, 48, 27, 55, 18, 46, 7, 35, 12, 40)(14, 42, 22, 50, 17, 45, 24, 52, 28, 56, 16, 44, 23, 51)(57, 85, 59, 87, 69, 97, 81, 109, 75, 103, 67, 95, 58, 86, 65, 93, 61, 89, 71, 99, 82, 110, 77, 105, 64, 92, 62, 90)(60, 88, 70, 98, 63, 91, 72, 100, 83, 111, 80, 108, 66, 94, 78, 106, 68, 96, 79, 107, 74, 102, 84, 112, 76, 104, 73, 101)
	L = (1, 60)(2, 66)(3, 70)(4, 64)(5, 68)(6, 73)(7, 57)(8, 76)(9, 78)(10, 75)(11, 80)(12, 58)(13, 63)(14, 62)(15, 79)(16, 59)(17, 77)(18, 61)(19, 83)(20, 82)(21, 84)(22, 67)(23, 65)(24, 81)(25, 72)(26, 74)(27, 69)(28, 71)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.341
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y1 * Y2^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^7, (Y2^-1 * Y3)^14, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 17, 45, 23, 51, 15, 43, 5, 33)(3, 31, 6, 34, 10, 38, 19, 47, 26, 54, 21, 49, 12, 40)(4, 32, 9, 37, 18, 46, 25, 53, 24, 52, 16, 44, 7, 35)(11, 39, 14, 42, 20, 48, 27, 55, 28, 56, 22, 50, 13, 41)(57, 85, 59, 87, 61, 89, 68, 96, 71, 99, 77, 105, 79, 107, 82, 110, 73, 101, 75, 103, 64, 92, 66, 94, 58, 86, 62, 90)(60, 88, 67, 95, 63, 91, 69, 97, 72, 100, 78, 106, 80, 108, 84, 112, 81, 109, 83, 111, 74, 102, 76, 104, 65, 93, 70, 98)
	L = (1, 60)(2, 65)(3, 67)(4, 58)(5, 63)(6, 70)(7, 57)(8, 74)(9, 64)(10, 76)(11, 62)(12, 69)(13, 59)(14, 66)(15, 72)(16, 61)(17, 81)(18, 73)(19, 83)(20, 75)(21, 78)(22, 68)(23, 80)(24, 71)(25, 79)(26, 84)(27, 82)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.337
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), Y3^-1 * Y2^-2 * Y3^-1, (Y1^-1, Y3^-1), (Y1^-1, Y2^-1), (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2^2 * Y3^-2, Y1 * Y3^-1 * Y1^2 * Y3^-1, Y2 * Y1 * Y2 * Y1^2, Y2^-2 * Y3^2 * Y1, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 17, 45, 13, 41, 20, 48, 5, 33)(3, 31, 9, 37, 21, 49, 6, 34, 11, 39, 24, 52, 15, 43)(4, 32, 10, 38, 23, 51, 22, 50, 7, 35, 12, 40, 18, 46)(14, 42, 25, 53, 28, 56, 19, 47, 16, 44, 26, 54, 27, 55)(57, 85, 59, 87, 69, 97, 67, 95, 58, 86, 65, 93, 76, 104, 80, 108, 64, 92, 77, 105, 61, 89, 71, 99, 73, 101, 62, 90)(60, 88, 70, 98, 63, 91, 72, 100, 66, 94, 81, 109, 68, 96, 82, 110, 79, 107, 84, 112, 74, 102, 83, 111, 78, 106, 75, 103)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 79)(9, 81)(10, 69)(11, 72)(12, 58)(13, 63)(14, 62)(15, 83)(16, 59)(17, 78)(18, 64)(19, 71)(20, 68)(21, 84)(22, 61)(23, 76)(24, 82)(25, 67)(26, 65)(27, 77)(28, 80)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.339
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, Y1^-2 * Y2^2, (Y1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-6 * Y1^-1, Y1^14, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 25, 53, 16, 44, 5, 33)(3, 31, 9, 37, 20, 48, 26, 54, 17, 45, 6, 34, 10, 38)(4, 32, 7, 35, 11, 39, 21, 49, 27, 55, 23, 51, 14, 42)(12, 40, 13, 41, 22, 50, 28, 56, 24, 52, 15, 43, 18, 46)(57, 85, 59, 87, 64, 92, 76, 104, 81, 109, 73, 101, 61, 89, 66, 94, 58, 86, 65, 93, 75, 103, 82, 110, 72, 100, 62, 90)(60, 88, 68, 96, 67, 95, 78, 106, 83, 111, 80, 108, 70, 98, 74, 102, 63, 91, 69, 97, 77, 105, 84, 112, 79, 107, 71, 99)
	L = (1, 60)(2, 63)(3, 68)(4, 61)(5, 70)(6, 71)(7, 57)(8, 67)(9, 69)(10, 74)(11, 58)(12, 66)(13, 59)(14, 72)(15, 73)(16, 79)(17, 80)(18, 62)(19, 77)(20, 78)(21, 64)(22, 65)(23, 81)(24, 82)(25, 83)(26, 84)(27, 75)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.336
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (R * Y3)^2, (Y1^-1, Y2^-1), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y1 * Y3^-2 * Y1, Y3^-2 * Y1^-1 * Y2^2, Y3^2 * Y1 * Y2^-2, Y2^4 * Y1, Y3^4 * Y2^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-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, (Y2^-1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 13, 41, 21, 49, 18, 46, 5, 33)(3, 31, 9, 37, 23, 51, 19, 47, 6, 34, 11, 39, 15, 43)(4, 32, 10, 38, 24, 52, 28, 56, 20, 48, 7, 35, 12, 40)(14, 42, 25, 53, 22, 50, 27, 55, 17, 45, 16, 44, 26, 54)(57, 85, 59, 87, 69, 97, 75, 103, 61, 89, 71, 99, 64, 92, 79, 107, 74, 102, 67, 95, 58, 86, 65, 93, 77, 105, 62, 90)(60, 88, 70, 98, 84, 112, 83, 111, 68, 96, 82, 110, 80, 108, 78, 106, 63, 91, 72, 100, 66, 94, 81, 109, 76, 104, 73, 101)
	L = (1, 60)(2, 66)(3, 70)(4, 64)(5, 68)(6, 73)(7, 57)(8, 80)(9, 81)(10, 69)(11, 72)(12, 58)(13, 84)(14, 79)(15, 82)(16, 59)(17, 71)(18, 63)(19, 83)(20, 61)(21, 76)(22, 62)(23, 78)(24, 77)(25, 75)(26, 65)(27, 67)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.342
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, (Y2^-1, Y1), (Y2^-1 * Y1^-1)^2, (Y2^-1, Y1^-1), Y2^2 * Y1^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3), Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^2 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 25, 53, 12, 40, 5, 33)(3, 31, 9, 37, 6, 34, 10, 38, 20, 48, 23, 51, 14, 42)(4, 32, 7, 35, 11, 39, 21, 49, 27, 55, 24, 52, 16, 44)(13, 41, 15, 43, 17, 45, 18, 46, 22, 50, 28, 56, 26, 54)(57, 85, 59, 87, 68, 96, 79, 107, 75, 103, 66, 94, 58, 86, 65, 93, 61, 89, 70, 98, 81, 109, 76, 104, 64, 92, 62, 90)(60, 88, 69, 97, 80, 108, 84, 112, 77, 105, 74, 102, 63, 91, 71, 99, 72, 100, 82, 110, 83, 111, 78, 106, 67, 95, 73, 101)
	L = (1, 60)(2, 63)(3, 69)(4, 61)(5, 72)(6, 73)(7, 57)(8, 67)(9, 71)(10, 74)(11, 58)(12, 80)(13, 70)(14, 82)(15, 59)(16, 68)(17, 65)(18, 62)(19, 77)(20, 78)(21, 64)(22, 66)(23, 84)(24, 81)(25, 83)(26, 79)(27, 75)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.335
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^4, Y1^-2 * Y3^-2 * Y1^-1, (Y1^2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 14, 42, 17, 45, 5, 33)(3, 31, 9, 37, 22, 50, 27, 55, 26, 54, 18, 46, 6, 34)(4, 32, 10, 38, 19, 47, 7, 35, 11, 39, 23, 51, 15, 43)(12, 40, 24, 52, 20, 48, 13, 41, 25, 53, 28, 56, 16, 44)(57, 85, 59, 87, 58, 86, 65, 93, 64, 92, 78, 106, 77, 105, 83, 111, 70, 98, 82, 110, 73, 101, 74, 102, 61, 89, 62, 90)(60, 88, 68, 96, 66, 94, 80, 108, 75, 103, 76, 104, 63, 91, 69, 97, 67, 95, 81, 109, 79, 107, 84, 112, 71, 99, 72, 100)
	L = (1, 60)(2, 66)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 75)(9, 80)(10, 73)(11, 58)(12, 82)(13, 59)(14, 67)(15, 77)(16, 83)(17, 79)(18, 84)(19, 61)(20, 62)(21, 63)(22, 76)(23, 64)(24, 74)(25, 65)(26, 81)(27, 69)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.338
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), (Y2^-1, Y3), Y1^-1 * Y2^2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y3^3 * Y1 * Y3, Y3^-1 * Y2^2 * Y1 * Y3^-1, Y2^4 * Y3^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 15, 43, 22, 50, 18, 46, 5, 33)(3, 31, 9, 37, 23, 51, 28, 56, 19, 47, 6, 34, 11, 39)(4, 32, 10, 38, 24, 52, 20, 48, 7, 35, 12, 40, 16, 44)(13, 41, 25, 53, 21, 49, 27, 55, 14, 42, 17, 45, 26, 54)(57, 85, 59, 87, 64, 92, 79, 107, 78, 106, 75, 103, 61, 89, 67, 95, 58, 86, 65, 93, 71, 99, 84, 112, 74, 102, 62, 90)(60, 88, 69, 97, 80, 108, 77, 105, 63, 91, 70, 98, 72, 100, 82, 110, 66, 94, 81, 109, 76, 104, 83, 111, 68, 96, 73, 101)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 73)(7, 57)(8, 80)(9, 81)(10, 78)(11, 82)(12, 58)(13, 84)(14, 59)(15, 76)(16, 64)(17, 65)(18, 68)(19, 70)(20, 61)(21, 62)(22, 63)(23, 77)(24, 74)(25, 75)(26, 79)(27, 67)(28, 83)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.340
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2, Y1), Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y1^-3 * Y2 * Y3 * Y2 * Y1^-2, Y2^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 16, 44, 25, 53, 22, 50, 14, 42, 4, 32, 9, 37, 17, 45, 26, 54, 23, 51, 11, 39, 5, 33)(3, 31, 8, 36, 6, 34, 10, 38, 18, 46, 27, 55, 24, 52, 12, 40, 19, 47, 15, 43, 20, 48, 28, 56, 21, 49, 13, 41)(57, 85, 59, 87, 67, 95, 77, 105, 82, 110, 76, 104, 65, 93, 75, 103, 70, 98, 80, 108, 81, 109, 74, 102, 63, 91, 62, 90)(58, 86, 64, 92, 61, 89, 69, 97, 79, 107, 84, 112, 73, 101, 71, 99, 60, 88, 68, 96, 78, 106, 83, 111, 72, 100, 66, 94)
	L = (1, 60)(2, 65)(3, 68)(4, 57)(5, 70)(6, 71)(7, 73)(8, 75)(9, 58)(10, 76)(11, 78)(12, 59)(13, 80)(14, 61)(15, 62)(16, 82)(17, 63)(18, 84)(19, 64)(20, 66)(21, 83)(22, 67)(23, 81)(24, 69)(25, 79)(26, 72)(27, 77)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.317
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y2^-1 * Y3, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (Y2, Y1), (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^2 * Y1^-2, (Y2^-1 * Y1^-2)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-3, Y3 * Y2^2 * Y1^11 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 19, 47, 18, 46, 26, 54, 14, 42, 4, 32, 9, 37, 21, 49, 11, 39, 23, 51, 16, 44, 5, 33)(3, 31, 8, 36, 20, 48, 17, 45, 6, 34, 10, 38, 22, 50, 12, 40, 24, 52, 28, 56, 27, 55, 15, 43, 25, 53, 13, 41)(57, 85, 59, 87, 67, 95, 83, 111, 70, 98, 78, 106, 63, 91, 76, 104, 72, 100, 81, 109, 65, 93, 80, 108, 74, 102, 62, 90)(58, 86, 64, 92, 79, 107, 71, 99, 60, 88, 68, 96, 75, 103, 73, 101, 61, 89, 69, 97, 77, 105, 84, 112, 82, 110, 66, 94)
	L = (1, 60)(2, 65)(3, 68)(4, 57)(5, 70)(6, 71)(7, 77)(8, 80)(9, 58)(10, 81)(11, 75)(12, 59)(13, 78)(14, 61)(15, 62)(16, 82)(17, 83)(18, 79)(19, 67)(20, 84)(21, 63)(22, 69)(23, 74)(24, 64)(25, 66)(26, 72)(27, 73)(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, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.320
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y1^-3 * Y2^-1, Y2^2 * Y3 * Y2^2 * Y1^-1, Y3 * Y1^-2 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1, (Y1^-2 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 19, 47, 11, 39, 23, 51, 14, 42, 4, 32, 9, 37, 21, 49, 18, 46, 26, 54, 16, 44, 5, 33)(3, 31, 8, 36, 20, 48, 15, 43, 25, 53, 28, 56, 27, 55, 12, 40, 24, 52, 17, 45, 6, 34, 10, 38, 22, 50, 13, 41)(57, 85, 59, 87, 67, 95, 81, 109, 65, 93, 80, 108, 72, 100, 78, 106, 63, 91, 76, 104, 70, 98, 83, 111, 74, 102, 62, 90)(58, 86, 64, 92, 79, 107, 84, 112, 77, 105, 73, 101, 61, 89, 69, 97, 75, 103, 71, 99, 60, 88, 68, 96, 82, 110, 66, 94)
	L = (1, 60)(2, 65)(3, 68)(4, 57)(5, 70)(6, 71)(7, 77)(8, 80)(9, 58)(10, 81)(11, 82)(12, 59)(13, 83)(14, 61)(15, 62)(16, 79)(17, 76)(18, 75)(19, 74)(20, 73)(21, 63)(22, 84)(23, 72)(24, 64)(25, 66)(26, 67)(27, 69)(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, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.321
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y2^-2, Y3 * Y1^-1 * Y2^-2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-7, (Y2 * Y1^-3)^2, Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2^10 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 23, 51, 20, 48, 11, 39, 4, 32, 9, 37, 17, 45, 25, 53, 22, 50, 14, 42, 5, 33)(3, 31, 8, 36, 16, 44, 24, 52, 28, 56, 27, 55, 19, 47, 12, 40, 6, 34, 10, 38, 18, 46, 26, 54, 21, 49, 13, 41)(57, 85, 59, 87, 67, 95, 75, 103, 70, 98, 77, 105, 79, 107, 84, 112, 81, 109, 74, 102, 63, 91, 72, 100, 65, 93, 62, 90)(58, 86, 64, 92, 60, 88, 68, 96, 61, 89, 69, 97, 76, 104, 83, 111, 78, 106, 82, 110, 71, 99, 80, 108, 73, 101, 66, 94)
	L = (1, 60)(2, 65)(3, 68)(4, 57)(5, 67)(6, 64)(7, 73)(8, 62)(9, 58)(10, 72)(11, 61)(12, 59)(13, 75)(14, 76)(15, 81)(16, 66)(17, 63)(18, 80)(19, 69)(20, 70)(21, 83)(22, 79)(23, 78)(24, 74)(25, 71)(26, 84)(27, 77)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.319
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y1^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 23, 51, 20, 48, 12, 40, 4, 32, 9, 37, 17, 45, 25, 53, 21, 49, 13, 41, 5, 33)(3, 31, 8, 36, 16, 44, 24, 52, 22, 50, 14, 42, 6, 34, 10, 38, 18, 46, 26, 54, 28, 56, 27, 55, 19, 47, 11, 39)(57, 85, 59, 87, 65, 93, 74, 102, 63, 91, 72, 100, 81, 109, 84, 112, 79, 107, 78, 106, 69, 97, 75, 103, 68, 96, 62, 90)(58, 86, 64, 92, 73, 101, 82, 110, 71, 99, 80, 108, 77, 105, 83, 111, 76, 104, 70, 98, 61, 89, 67, 95, 60, 88, 66, 94)
	L = (1, 60)(2, 65)(3, 66)(4, 57)(5, 68)(6, 67)(7, 73)(8, 74)(9, 58)(10, 59)(11, 62)(12, 61)(13, 76)(14, 75)(15, 81)(16, 82)(17, 63)(18, 64)(19, 70)(20, 69)(21, 79)(22, 83)(23, 77)(24, 84)(25, 71)(26, 72)(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) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.318
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3 * Y1^-1, Y1^-1 * Y3, Y2^-2 * Y1^-2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^14, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 25, 53, 22, 50, 17, 45, 14, 42, 9, 37, 4, 32)(3, 31, 7, 35, 5, 33, 8, 36, 12, 40, 16, 44, 20, 48, 24, 52, 28, 56, 26, 54, 21, 49, 18, 46, 13, 41, 10, 38)(57, 85, 59, 87, 65, 93, 69, 97, 73, 101, 77, 105, 81, 109, 84, 112, 79, 107, 76, 104, 71, 99, 68, 96, 62, 90, 61, 89)(58, 86, 63, 91, 60, 88, 66, 94, 70, 98, 74, 102, 78, 106, 82, 110, 83, 111, 80, 108, 75, 103, 72, 100, 67, 95, 64, 92)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 67)(7, 61)(8, 68)(9, 60)(10, 59)(11, 71)(12, 72)(13, 66)(14, 65)(15, 75)(16, 76)(17, 70)(18, 69)(19, 79)(20, 80)(21, 74)(22, 73)(23, 83)(24, 84)(25, 78)(26, 77)(27, 81)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.327
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1 * Y3, Y2^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y3^-3, (R * Y3)^2, (Y3^-1, Y1^-1), Y3 * Y1 * Y2^-2, Y1^-1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y1, Y2), (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, (Y1^-1 * Y3 * Y1^-1)^2, Y2^8 * Y1^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 15, 43, 7, 35, 12, 40, 23, 51, 16, 44, 4, 32, 10, 38, 21, 49, 17, 45, 5, 33)(3, 31, 9, 37, 20, 48, 18, 46, 6, 34, 11, 39, 22, 50, 27, 55, 25, 53, 13, 41, 24, 52, 28, 56, 26, 54, 14, 42)(57, 85, 59, 87, 66, 94, 80, 108, 68, 96, 78, 106, 64, 92, 76, 104, 73, 101, 82, 110, 72, 100, 81, 109, 71, 99, 62, 90)(58, 86, 65, 93, 77, 105, 84, 112, 79, 107, 83, 111, 75, 103, 74, 102, 61, 89, 70, 98, 60, 88, 69, 97, 63, 91, 67, 95)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 70)(7, 57)(8, 77)(9, 80)(10, 63)(11, 59)(12, 58)(13, 62)(14, 81)(15, 61)(16, 75)(17, 79)(18, 82)(19, 73)(20, 84)(21, 68)(22, 65)(23, 64)(24, 67)(25, 74)(26, 83)(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, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.325
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y1^-1, (Y3^-1 * Y2^-1)^2, Y3^-2 * Y2^-2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y1^-4, Y1^-1 * Y2^8 * Y1^-1, (Y3 * Y1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 13, 41, 4, 32, 10, 38, 21, 49, 18, 46, 7, 35, 12, 40, 23, 51, 17, 45, 5, 33)(3, 31, 9, 37, 20, 48, 27, 55, 25, 53, 14, 42, 24, 52, 28, 56, 26, 54, 16, 44, 6, 34, 11, 39, 22, 50, 15, 43)(57, 85, 59, 87, 69, 97, 81, 109, 74, 102, 82, 110, 73, 101, 78, 106, 64, 92, 76, 104, 66, 94, 80, 108, 68, 96, 62, 90)(58, 86, 65, 93, 60, 88, 70, 98, 63, 91, 72, 100, 61, 89, 71, 99, 75, 103, 83, 111, 77, 105, 84, 112, 79, 107, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 68)(5, 69)(6, 65)(7, 57)(8, 77)(9, 80)(10, 79)(11, 76)(12, 58)(13, 63)(14, 62)(15, 81)(16, 59)(17, 75)(18, 61)(19, 74)(20, 84)(21, 73)(22, 83)(23, 64)(24, 67)(25, 72)(26, 71)(27, 82)(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, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.323
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y1^-2 * Y3^-1 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, (Y2^-1, Y1), Y3^-2 * Y2^-2, (R * Y2)^2, (R * Y3)^2, Y2^-3 * Y3 * Y2^-1 * Y1, Y3 * Y2^-2 * Y3 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-4, Y2 * Y1^-2 * Y3 * Y1^-1 * Y2, (Y2^-2 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 7, 35, 12, 40, 23, 51, 13, 41, 24, 52, 17, 45, 27, 55, 18, 46, 4, 32, 10, 38, 5, 33)(3, 31, 9, 37, 21, 49, 16, 44, 26, 54, 19, 47, 28, 56, 20, 48, 6, 34, 11, 39, 22, 50, 14, 42, 25, 53, 15, 43)(57, 85, 59, 87, 69, 97, 84, 112, 66, 94, 81, 109, 68, 96, 82, 110, 74, 102, 78, 106, 64, 92, 77, 105, 73, 101, 62, 90)(58, 86, 65, 93, 80, 108, 76, 104, 61, 89, 71, 99, 79, 107, 75, 103, 60, 88, 70, 98, 63, 91, 72, 100, 83, 111, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 61)(9, 81)(10, 83)(11, 84)(12, 58)(13, 63)(14, 62)(15, 78)(16, 59)(17, 79)(18, 80)(19, 77)(20, 82)(21, 71)(22, 76)(23, 64)(24, 68)(25, 67)(26, 65)(27, 69)(28, 72)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.328
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^3, Y1^-2 * Y3^-1 * Y2^-2 * Y3^-1, Y2 * Y1^-1 * Y2^4 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 13, 41, 18, 46, 24, 52, 28, 56, 27, 55, 20, 48, 9, 37, 17, 45, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 12, 40, 5, 33, 8, 36, 16, 44, 23, 51, 22, 50, 26, 54, 19, 47, 25, 53, 21, 49, 10, 38)(57, 85, 59, 87, 65, 93, 75, 103, 80, 108, 72, 100, 62, 90, 71, 99, 67, 95, 77, 105, 83, 111, 78, 106, 69, 97, 61, 89)(58, 86, 63, 91, 73, 101, 81, 109, 84, 112, 79, 107, 70, 98, 68, 96, 60, 88, 66, 94, 76, 104, 82, 110, 74, 102, 64, 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, 69)(15, 68)(16, 79)(17, 67)(18, 80)(19, 81)(20, 65)(21, 66)(22, 82)(23, 78)(24, 84)(25, 77)(26, 75)(27, 76)(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, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.324
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3 * Y1, Y3^2 * Y1^-1 * Y3, Y2 * Y1 * Y2 * Y3, (Y3^-1, Y2), (R * Y1)^2, (Y3, Y1), Y2^2 * Y1 * Y3, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y2^4 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, (Y2^-1 * Y3 * Y1^-1)^2, (Y2^-1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 20, 48, 17, 45, 4, 32, 10, 38, 22, 50, 13, 41, 7, 35, 12, 40, 24, 52, 19, 47, 5, 33)(3, 31, 9, 37, 21, 49, 28, 56, 27, 55, 14, 42, 6, 34, 11, 39, 23, 51, 16, 44, 25, 53, 18, 46, 26, 54, 15, 43)(57, 85, 59, 87, 69, 97, 79, 107, 64, 92, 77, 105, 68, 96, 81, 109, 73, 101, 83, 111, 75, 103, 82, 110, 66, 94, 62, 90)(58, 86, 65, 93, 63, 91, 72, 100, 76, 104, 84, 112, 80, 108, 74, 102, 60, 88, 70, 98, 61, 89, 71, 99, 78, 106, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 68)(5, 73)(6, 74)(7, 57)(8, 78)(9, 62)(10, 80)(11, 82)(12, 58)(13, 61)(14, 81)(15, 83)(16, 59)(17, 63)(18, 77)(19, 76)(20, 69)(21, 67)(22, 75)(23, 71)(24, 64)(25, 65)(26, 84)(27, 72)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.329
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y1^-3, Y3 * Y2^2 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1, (Y3, Y1^-1), (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, Y3 * Y1^-1 * Y3^4, 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 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 4, 32, 10, 38, 19, 47, 15, 43, 22, 50, 18, 46, 24, 52, 17, 45, 7, 35, 12, 40, 5, 33)(3, 31, 9, 37, 6, 34, 11, 39, 20, 48, 16, 44, 23, 51, 27, 55, 26, 54, 28, 56, 25, 53, 14, 42, 21, 49, 13, 41)(57, 85, 59, 87, 68, 96, 77, 105, 73, 101, 81, 109, 74, 102, 82, 110, 71, 99, 79, 107, 66, 94, 76, 104, 64, 92, 62, 90)(58, 86, 65, 93, 61, 89, 69, 97, 63, 91, 70, 98, 80, 108, 84, 112, 78, 106, 83, 111, 75, 103, 72, 100, 60, 88, 67, 95)
	L = (1, 60)(2, 66)(3, 67)(4, 71)(5, 64)(6, 72)(7, 57)(8, 75)(9, 76)(10, 78)(11, 79)(12, 58)(13, 62)(14, 59)(15, 80)(16, 82)(17, 61)(18, 63)(19, 74)(20, 83)(21, 65)(22, 73)(23, 84)(24, 68)(25, 69)(26, 70)(27, 81)(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, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.322
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), (Y3^-1, Y1^-1), Y1^3 * Y3^-1, Y3 * Y1 * Y2^-2, Y2^-1 * Y1 * Y3 * Y2^-1, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y1, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, Y3^4 * Y1^2, Y3 * Y1 * Y2^12, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 4, 32, 10, 38, 21, 49, 15, 43, 24, 52, 19, 47, 26, 54, 17, 45, 7, 35, 12, 40, 5, 33)(3, 31, 9, 37, 20, 48, 13, 41, 23, 51, 28, 56, 27, 55, 18, 46, 25, 53, 16, 44, 6, 34, 11, 39, 22, 50, 14, 42)(57, 85, 59, 87, 66, 94, 79, 107, 75, 103, 81, 109, 68, 96, 78, 106, 64, 92, 76, 104, 71, 99, 83, 111, 73, 101, 62, 90)(58, 86, 65, 93, 77, 105, 84, 112, 82, 110, 72, 100, 61, 89, 70, 98, 60, 88, 69, 97, 80, 108, 74, 102, 63, 91, 67, 95)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 64)(6, 70)(7, 57)(8, 77)(9, 79)(10, 80)(11, 59)(12, 58)(13, 83)(14, 76)(15, 82)(16, 78)(17, 61)(18, 62)(19, 63)(20, 84)(21, 75)(22, 65)(23, 74)(24, 73)(25, 67)(26, 68)(27, 72)(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) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.326
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y2 * Y1^3, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3, Y1) ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 6, 34, 3, 31, 9, 37, 5, 33)(4, 32, 10, 38, 19, 47, 16, 44, 12, 40, 21, 49, 15, 43)(7, 35, 11, 39, 20, 48, 18, 46, 13, 41, 22, 50, 17, 45)(14, 42, 23, 51, 27, 55, 26, 54, 24, 52, 28, 56, 25, 53)(57, 85, 59, 87, 58, 86, 65, 93, 64, 92, 61, 89, 62, 90)(60, 88, 68, 96, 66, 94, 77, 105, 75, 103, 71, 99, 72, 100)(63, 91, 69, 97, 67, 95, 78, 106, 76, 104, 73, 101, 74, 102)(70, 98, 80, 108, 79, 107, 84, 112, 83, 111, 81, 109, 82, 110)
	L = (1, 60)(2, 66)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 75)(9, 77)(10, 79)(11, 58)(12, 80)(13, 59)(14, 63)(15, 81)(16, 82)(17, 61)(18, 62)(19, 83)(20, 64)(21, 84)(22, 65)(23, 67)(24, 69)(25, 73)(26, 74)(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) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.379
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y2^-1 * Y1^3, (Y3, Y1^-1), (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 3, 31, 6, 34, 10, 38, 5, 33)(4, 32, 9, 37, 19, 47, 12, 40, 16, 44, 22, 50, 15, 43)(7, 35, 11, 39, 20, 48, 13, 41, 18, 46, 23, 51, 17, 45)(14, 42, 21, 49, 27, 55, 24, 52, 26, 54, 28, 56, 25, 53)(57, 85, 59, 87, 61, 89, 64, 92, 66, 94, 58, 86, 62, 90)(60, 88, 68, 96, 71, 99, 75, 103, 78, 106, 65, 93, 72, 100)(63, 91, 69, 97, 73, 101, 76, 104, 79, 107, 67, 95, 74, 102)(70, 98, 80, 108, 81, 109, 83, 111, 84, 112, 77, 105, 82, 110)
	L = (1, 60)(2, 65)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 75)(9, 77)(10, 78)(11, 58)(12, 80)(13, 59)(14, 63)(15, 81)(16, 82)(17, 61)(18, 62)(19, 83)(20, 64)(21, 67)(22, 84)(23, 66)(24, 69)(25, 73)(26, 74)(27, 76)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.378
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1^3 * Y2^-1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y3 * Y1 * Y3^3 * Y2^-1, Y1^-2 * Y3^-1 * Y2 * 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 3, 31, 6, 34, 10, 38, 5, 33)(4, 32, 9, 37, 20, 48, 12, 40, 16, 44, 23, 51, 15, 43)(7, 35, 11, 39, 21, 49, 13, 41, 18, 46, 24, 52, 17, 45)(14, 42, 22, 50, 28, 56, 26, 54, 27, 55, 19, 47, 25, 53)(57, 85, 59, 87, 61, 89, 64, 92, 66, 94, 58, 86, 62, 90)(60, 88, 68, 96, 71, 99, 76, 104, 79, 107, 65, 93, 72, 100)(63, 91, 69, 97, 73, 101, 77, 105, 80, 108, 67, 95, 74, 102)(70, 98, 82, 110, 81, 109, 84, 112, 75, 103, 78, 106, 83, 111)
	L = (1, 60)(2, 65)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 76)(9, 78)(10, 79)(11, 58)(12, 82)(13, 59)(14, 77)(15, 81)(16, 83)(17, 61)(18, 62)(19, 63)(20, 84)(21, 64)(22, 69)(23, 75)(24, 66)(25, 67)(26, 80)(27, 73)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.380
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2, Y2 * Y1^-2, Y1 * Y2^3, (Y1^-1, Y3^-1), (R * Y3)^2, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, Y3^4 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
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, 23, 51, 16, 44, 15, 43)(7, 35, 10, 38, 13, 41, 21, 49, 24, 52, 18, 46, 17, 45)(14, 42, 19, 47, 22, 50, 25, 53, 28, 56, 27, 55, 26, 54)(57, 85, 59, 87, 67, 95, 61, 89, 58, 86, 64, 92, 62, 90)(60, 88, 68, 96, 79, 107, 71, 99, 65, 93, 76, 104, 72, 100)(63, 91, 69, 97, 80, 108, 73, 101, 66, 94, 77, 105, 74, 102)(70, 98, 78, 106, 84, 112, 82, 110, 75, 103, 81, 109, 83, 111)
	L = (1, 60)(2, 65)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 76)(9, 75)(10, 58)(11, 79)(12, 78)(13, 59)(14, 73)(15, 82)(16, 83)(17, 61)(18, 62)(19, 63)(20, 81)(21, 64)(22, 66)(23, 84)(24, 67)(25, 69)(26, 74)(27, 80)(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) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.381
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^4 * Y1^3, Y1^7, Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-2, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map::
	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, 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, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-4 * Y1^3, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 26, 54, 25, 53, 21, 49, 10, 38)(5, 33, 8, 36, 16, 44, 19, 47, 28, 56, 23, 51, 12, 40)(9, 37, 17, 45, 27, 55, 24, 52, 13, 41, 18, 46, 20, 48)(57, 85, 59, 87, 65, 93, 75, 103, 70, 98, 82, 110, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 72, 100, 62, 90, 71, 99, 83, 111, 79, 107, 67, 95, 77, 105, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 84, 112, 78, 106, 81, 109, 69, 97, 61, 89)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 23, 51, 26, 54, 19, 47, 10, 38)(5, 33, 8, 36, 16, 44, 24, 52, 27, 55, 21, 49, 12, 40)(9, 37, 17, 45, 25, 53, 28, 56, 22, 50, 13, 41, 18, 46)(57, 85, 59, 87, 65, 93, 72, 100, 62, 90, 71, 99, 81, 109, 83, 111, 76, 104, 82, 110, 78, 106, 68, 96, 60, 88, 66, 94, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 80, 108, 70, 98, 79, 107, 84, 112, 77, 105, 67, 95, 75, 103, 69, 97, 61, 89)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^-4 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^7, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 23, 51, 28, 56, 21, 49, 10, 38)(5, 33, 8, 36, 16, 44, 24, 52, 26, 54, 19, 47, 12, 40)(9, 37, 17, 45, 13, 41, 18, 46, 25, 53, 27, 55, 20, 48)(57, 85, 59, 87, 65, 93, 75, 103, 67, 95, 77, 105, 83, 111, 80, 108, 70, 98, 79, 107, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 68, 96, 60, 88, 66, 94, 76, 104, 82, 110, 78, 106, 84, 112, 81, 109, 72, 100, 62, 90, 71, 99, 69, 97, 61, 89)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1, (R * Y2 * Y3^-1)^2, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 22, 50, 26, 54, 19, 47, 10, 38)(5, 33, 8, 36, 16, 44, 23, 51, 27, 55, 21, 49, 12, 40)(9, 37, 13, 41, 17, 45, 24, 52, 28, 56, 25, 53, 18, 46)(57, 85, 59, 87, 65, 93, 68, 96, 60, 88, 66, 94, 74, 102, 77, 105, 67, 95, 75, 103, 81, 109, 83, 111, 76, 104, 82, 110, 84, 112, 79, 107, 70, 98, 78, 106, 80, 108, 72, 100, 62, 90, 71, 99, 73, 101, 64, 92, 58, 86, 63, 91, 69, 97, 61, 89)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-1 * Y2^4, (R * Y2 * Y3^-1)^2, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 19, 47, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 22, 50, 25, 53, 18, 46, 10, 38)(5, 33, 8, 36, 16, 44, 23, 51, 26, 54, 20, 48, 12, 40)(9, 37, 17, 45, 24, 52, 28, 56, 27, 55, 21, 49, 13, 41)(57, 85, 59, 87, 65, 93, 64, 92, 58, 86, 63, 91, 73, 101, 72, 100, 62, 90, 71, 99, 80, 108, 79, 107, 70, 98, 78, 106, 84, 112, 82, 110, 75, 103, 81, 109, 83, 111, 76, 104, 67, 95, 74, 102, 77, 105, 68, 96, 60, 88, 66, 94, 69, 97, 61, 89)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3 * Y1^-1, Y1^-1 * Y3, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-2, Y1^7, (Y3^-1 * Y1^-1)^7, Y2^-28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 26, 54, 25, 53, 21, 49, 10, 38)(5, 33, 8, 36, 16, 44, 19, 47, 28, 56, 23, 51, 12, 40)(9, 37, 17, 45, 27, 55, 24, 52, 13, 41, 18, 46, 20, 48)(57, 85, 59, 87, 65, 93, 75, 103, 70, 98, 82, 110, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 72, 100, 62, 90, 71, 99, 83, 111, 79, 107, 67, 95, 77, 105, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 84, 112, 78, 106, 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, 82)(16, 75)(17, 83)(18, 76)(19, 84)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 77)(26, 81)(27, 80)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.374
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y2, Y3), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-3 * Y3, Y2 * Y1^-2 * Y2^3, (Y2^-1 * Y3)^28 ]
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, 28, 56, 26, 54, 27, 55, 18, 46, 24, 52)(57, 85, 59, 87, 68, 96, 77, 105, 64, 92, 76, 104, 84, 112, 75, 103, 63, 91, 71, 99, 83, 111, 73, 101, 61, 89, 70, 98, 80, 108, 66, 94, 58, 86, 65, 93, 78, 106, 72, 100, 60, 88, 69, 97, 82, 110, 81, 109, 67, 95, 79, 107, 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, 82)(13, 70)(14, 76)(15, 59)(16, 73)(17, 77)(18, 78)(19, 62)(20, 79)(21, 81)(22, 83)(23, 65)(24, 84)(25, 66)(26, 80)(27, 68)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.377
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2), (R * Y2)^2, (Y2^2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-2 ]
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, 18, 46, 25, 53, 26, 54, 28, 56, 27, 55)(57, 85, 59, 87, 68, 96, 80, 108, 66, 94, 79, 107, 84, 112, 75, 103, 63, 91, 71, 99, 81, 109, 67, 95, 58, 86, 65, 93, 78, 106, 73, 101, 61, 89, 70, 98, 83, 111, 72, 100, 60, 88, 69, 97, 82, 110, 77, 105, 64, 92, 76, 104, 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, 83)(19, 62)(20, 70)(21, 73)(22, 84)(23, 76)(24, 77)(25, 68)(26, 78)(27, 81)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.375
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-2, Y3 * Y1^-2, (Y1, Y2), Y1^-1 * Y3^-3, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^4 * Y1, Y2^-1 * Y1^-1 * Y2^-3, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2, (Y2^-1 * Y3)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 9, 37, 15, 43, 7, 35, 5, 33)(3, 31, 8, 36, 12, 40, 20, 48, 25, 53, 14, 42, 13, 41)(6, 34, 10, 38, 16, 44, 21, 49, 26, 54, 19, 47, 17, 45)(11, 39, 18, 46, 22, 50, 27, 55, 28, 56, 24, 52, 23, 51)(57, 85, 59, 87, 67, 95, 73, 101, 61, 89, 69, 97, 79, 107, 75, 103, 63, 91, 70, 98, 80, 108, 82, 110, 71, 99, 81, 109, 84, 112, 77, 105, 65, 93, 76, 104, 83, 111, 72, 100, 60, 88, 68, 96, 78, 106, 66, 94, 58, 86, 64, 92, 74, 102, 62, 90)
	L = (1, 60)(2, 65)(3, 68)(4, 71)(5, 58)(6, 72)(7, 57)(8, 76)(9, 63)(10, 77)(11, 78)(12, 81)(13, 64)(14, 59)(15, 61)(16, 82)(17, 66)(18, 83)(19, 62)(20, 70)(21, 75)(22, 84)(23, 74)(24, 67)(25, 69)(26, 73)(27, 80)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.373
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y1 * Y3^-3, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^-2 * Y1 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 15, 43, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 21, 49, 25, 53, 12, 40, 13, 41)(6, 34, 9, 37, 19, 47, 22, 50, 26, 54, 16, 44, 17, 45)(11, 39, 20, 48, 24, 52, 28, 56, 27, 55, 23, 51, 18, 46)(57, 85, 59, 87, 67, 95, 65, 93, 58, 86, 64, 92, 76, 104, 75, 103, 63, 91, 70, 98, 80, 108, 78, 106, 66, 94, 77, 105, 84, 112, 82, 110, 71, 99, 81, 109, 83, 111, 72, 100, 60, 88, 68, 96, 79, 107, 73, 101, 61, 89, 69, 97, 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, 77)(13, 81)(14, 59)(15, 63)(16, 78)(17, 82)(18, 83)(19, 62)(20, 74)(21, 64)(22, 65)(23, 84)(24, 67)(25, 70)(26, 75)(27, 80)(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, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.376
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y1, Y2), (Y2, Y3), Y1 * Y3^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y3^-1 * Y2^-2, (Y1 * Y2^-1)^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, 28, 56, 14, 42, 13, 41)(6, 34, 10, 38, 16, 44, 22, 50, 24, 52, 19, 47, 17, 45)(11, 39, 20, 48, 25, 53, 18, 46, 23, 51, 27, 55, 26, 54)(57, 85, 59, 87, 67, 95, 80, 108, 71, 99, 84, 112, 79, 107, 66, 94, 58, 86, 64, 92, 76, 104, 75, 103, 63, 91, 70, 98, 83, 111, 72, 100, 60, 88, 68, 96, 81, 109, 73, 101, 61, 89, 69, 97, 82, 110, 78, 106, 65, 93, 77, 105, 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, 81)(12, 84)(13, 64)(14, 59)(15, 61)(16, 80)(17, 66)(18, 83)(19, 62)(20, 74)(21, 70)(22, 75)(23, 82)(24, 73)(25, 79)(26, 76)(27, 67)(28, 69)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.362
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, (Y2, Y3^-1), (Y2^-1, Y1), (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y1, Y3^-1 * Y2^3 * Y3^-1 * Y2, Y1 * Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 15, 43, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 21, 49, 26, 54, 12, 40, 13, 41)(6, 34, 9, 37, 19, 47, 23, 51, 27, 55, 16, 44, 17, 45)(11, 39, 20, 48, 25, 53, 28, 56, 18, 46, 22, 50, 24, 52)(57, 85, 59, 87, 67, 95, 79, 107, 66, 94, 77, 105, 84, 112, 73, 101, 61, 89, 69, 97, 80, 108, 75, 103, 63, 91, 70, 98, 81, 109, 72, 100, 60, 88, 68, 96, 78, 106, 65, 93, 58, 86, 64, 92, 76, 104, 83, 111, 71, 99, 82, 110, 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, 78)(12, 77)(13, 82)(14, 59)(15, 63)(16, 79)(17, 83)(18, 81)(19, 62)(20, 80)(21, 64)(22, 84)(23, 65)(24, 74)(25, 67)(26, 70)(27, 75)(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, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y2^-4 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 23, 51, 26, 54, 19, 47, 10, 38)(5, 33, 8, 36, 16, 44, 24, 52, 27, 55, 21, 49, 12, 40)(9, 37, 17, 45, 25, 53, 28, 56, 22, 50, 13, 41, 18, 46)(57, 85, 59, 87, 65, 93, 72, 100, 62, 90, 71, 99, 81, 109, 83, 111, 76, 104, 82, 110, 78, 106, 68, 96, 60, 88, 66, 94, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 80, 108, 70, 98, 79, 107, 84, 112, 77, 105, 67, 95, 75, 103, 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, 76)(15, 79)(16, 80)(17, 81)(18, 65)(19, 66)(20, 67)(21, 68)(22, 69)(23, 82)(24, 83)(25, 84)(26, 75)(27, 77)(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, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.361
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2, (Y2, Y3), (R * Y3)^2, (Y1^-1, Y2), Y1^-3 * Y3, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^-4, (Y2^-2 * Y3)^2, Y2^-2 * Y1 * Y3^-1 * Y2^-2 * Y1 ]
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, 22, 50, 14, 42)(6, 34, 10, 38, 21, 49, 16, 44, 19, 47, 24, 52, 17, 45)(12, 40, 18, 46, 23, 51, 25, 53, 27, 55, 28, 56, 26, 54)(57, 85, 59, 87, 68, 96, 73, 101, 61, 89, 70, 98, 82, 110, 80, 108, 67, 95, 78, 106, 84, 112, 75, 103, 63, 91, 71, 99, 83, 111, 72, 100, 60, 88, 69, 97, 81, 109, 77, 105, 64, 92, 76, 104, 79, 107, 66, 94, 58, 86, 65, 93, 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, 81)(13, 70)(14, 76)(15, 59)(16, 73)(17, 77)(18, 83)(19, 62)(20, 78)(21, 80)(22, 65)(23, 84)(24, 66)(25, 82)(26, 79)(27, 68)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.360
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2), (R * Y1)^2, Y1^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-3, (Y2^-2 * Y3)^2 ]
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, 26, 54, 25, 53, 27, 55, 18, 46)(57, 85, 59, 87, 68, 96, 67, 95, 58, 86, 65, 93, 78, 106, 77, 105, 64, 92, 76, 104, 84, 112, 75, 103, 63, 91, 71, 99, 82, 110, 72, 100, 60, 88, 69, 97, 81, 109, 80, 108, 66, 94, 79, 107, 83, 111, 73, 101, 61, 89, 70, 98, 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, 81)(13, 65)(14, 71)(15, 59)(16, 67)(17, 75)(18, 82)(19, 62)(20, 70)(21, 73)(22, 83)(23, 76)(24, 77)(25, 78)(26, 68)(27, 84)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.358
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3^-3, (Y2, Y3^-1), Y2^-1 * Y3 * Y1^-1 * Y2^-3, (Y3^-1 * Y2^-2)^2, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 15, 43, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 21, 49, 28, 56, 12, 40, 13, 41)(6, 34, 9, 37, 19, 47, 23, 51, 24, 52, 16, 44, 17, 45)(11, 39, 20, 48, 27, 55, 18, 46, 22, 50, 25, 53, 26, 54)(57, 85, 59, 87, 67, 95, 80, 108, 71, 99, 84, 112, 78, 106, 65, 93, 58, 86, 64, 92, 76, 104, 72, 100, 60, 88, 68, 96, 81, 109, 75, 103, 63, 91, 70, 98, 83, 111, 73, 101, 61, 89, 69, 97, 82, 110, 79, 107, 66, 94, 77, 105, 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, 81)(12, 77)(13, 84)(14, 59)(15, 63)(16, 79)(17, 80)(18, 76)(19, 62)(20, 82)(21, 64)(22, 83)(23, 65)(24, 75)(25, 74)(26, 78)(27, 67)(28, 70)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.370
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2, Y3), (Y1^-1, Y2^-1), Y3^-3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2^3 * Y3 * Y2, Y3 * Y1 * Y2^-1 * Y3^2 * Y2, (Y2^-1 * Y3)^28 ]
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, 26, 54, 14, 42, 13, 41)(6, 34, 10, 38, 16, 44, 22, 50, 27, 55, 19, 47, 17, 45)(11, 39, 20, 48, 24, 52, 28, 56, 18, 46, 23, 51, 25, 53)(57, 85, 59, 87, 67, 95, 78, 106, 65, 93, 77, 105, 84, 112, 73, 101, 61, 89, 69, 97, 81, 109, 72, 100, 60, 88, 68, 96, 80, 108, 75, 103, 63, 91, 70, 98, 79, 107, 66, 94, 58, 86, 64, 92, 76, 104, 83, 111, 71, 99, 82, 110, 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, 80)(12, 82)(13, 64)(14, 59)(15, 61)(16, 83)(17, 66)(18, 81)(19, 62)(20, 84)(21, 70)(22, 75)(23, 67)(24, 74)(25, 76)(26, 69)(27, 73)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.369
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^7, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 23, 51, 28, 56, 21, 49, 10, 38)(5, 33, 8, 36, 16, 44, 24, 52, 26, 54, 19, 47, 12, 40)(9, 37, 17, 45, 13, 41, 18, 46, 25, 53, 27, 55, 20, 48)(57, 85, 59, 87, 65, 93, 75, 103, 67, 95, 77, 105, 83, 111, 80, 108, 70, 98, 79, 107, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 68, 96, 60, 88, 66, 94, 76, 104, 82, 110, 78, 106, 84, 112, 81, 109, 72, 100, 62, 90, 71, 99, 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, 79)(16, 80)(17, 69)(18, 81)(19, 68)(20, 65)(21, 66)(22, 67)(23, 84)(24, 82)(25, 83)(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) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.368
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, (Y3^-1, Y2), (R * Y2)^2, (Y1^-1, Y2^-1), Y1^-2 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-3, (Y2^-1 * Y3)^28 ]
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, 22, 50, 14, 42)(6, 34, 11, 39, 21, 49, 19, 47, 16, 44, 23, 51, 17, 45)(12, 40, 18, 46, 24, 52, 27, 55, 25, 53, 28, 56, 26, 54)(57, 85, 59, 87, 68, 96, 73, 101, 61, 89, 70, 98, 82, 110, 79, 107, 66, 94, 78, 106, 84, 112, 72, 100, 60, 88, 69, 97, 81, 109, 75, 103, 63, 91, 71, 99, 83, 111, 77, 105, 64, 92, 76, 104, 80, 108, 67, 95, 58, 86, 65, 93, 74, 102, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 58)(5, 63)(6, 72)(7, 57)(8, 61)(9, 78)(10, 64)(11, 79)(12, 81)(13, 65)(14, 71)(15, 59)(16, 67)(17, 75)(18, 84)(19, 62)(20, 70)(21, 73)(22, 76)(23, 77)(24, 82)(25, 74)(26, 83)(27, 68)(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) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.371
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y1^-3 * Y3, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y2^-1 * Y1 * Y2^-3, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1, (Y2^-1 * Y3)^28 ]
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, 24, 52, 17, 45)(12, 40, 22, 50, 27, 55, 25, 53, 26, 54, 28, 56, 18, 46)(57, 85, 59, 87, 68, 96, 66, 94, 58, 86, 65, 93, 78, 106, 77, 105, 64, 92, 76, 104, 83, 111, 72, 100, 60, 88, 69, 97, 81, 109, 75, 103, 63, 91, 71, 99, 82, 110, 80, 108, 67, 95, 79, 107, 84, 112, 73, 101, 61, 89, 70, 98, 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, 81)(13, 70)(14, 76)(15, 59)(16, 73)(17, 77)(18, 83)(19, 62)(20, 79)(21, 80)(22, 82)(23, 65)(24, 66)(25, 74)(26, 68)(27, 84)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.372
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^-3 * Y3, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y2^4 * Y3, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 27, 55, 18, 46, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 68, 96, 75, 103, 63, 91, 71, 99, 80, 108, 66, 94, 58, 86, 65, 93, 78, 106, 81, 109, 67, 95, 79, 107, 84, 112, 77, 105, 64, 92, 76, 104, 83, 111, 73, 101, 61, 89, 70, 98, 82, 110, 72, 100, 60, 88, 69, 97, 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, 74)(13, 70)(14, 76)(15, 59)(16, 73)(17, 77)(18, 82)(19, 62)(20, 79)(21, 81)(22, 80)(23, 65)(24, 68)(25, 66)(26, 83)(27, 84)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.365
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y3^-1 * Y1^-3, (R * Y3)^2, (Y3^-1, Y2), (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y2^-2 * Y3^-1 * Y2^-2, Y3^-1 * Y2^-4, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-2, (Y2^-1 * Y3)^28 ]
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, 18, 46, 25, 53, 26, 54)(57, 85, 59, 87, 68, 96, 75, 103, 63, 91, 71, 99, 83, 111, 73, 101, 61, 89, 70, 98, 82, 110, 77, 105, 64, 92, 76, 104, 84, 112, 80, 108, 66, 94, 79, 107, 81, 109, 67, 95, 58, 86, 65, 93, 78, 106, 72, 100, 60, 88, 69, 97, 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, 74)(13, 65)(14, 71)(15, 59)(16, 67)(17, 75)(18, 78)(19, 62)(20, 70)(21, 73)(22, 81)(23, 76)(24, 77)(25, 84)(26, 83)(27, 68)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.364
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y1)^2, Y1 * Y3^-3, (R * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y2^3, Y3^-1 * Y2^2 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 15, 43, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 21, 49, 25, 53, 12, 40, 13, 41)(6, 34, 9, 37, 19, 47, 23, 51, 26, 54, 16, 44, 17, 45)(11, 39, 20, 48, 24, 52, 27, 55, 28, 56, 18, 46, 22, 50)(57, 85, 59, 87, 67, 95, 75, 103, 63, 91, 70, 98, 80, 108, 82, 110, 71, 99, 81, 109, 84, 112, 73, 101, 61, 89, 69, 97, 78, 106, 65, 93, 58, 86, 64, 92, 76, 104, 79, 107, 66, 94, 77, 105, 83, 111, 72, 100, 60, 88, 68, 96, 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, 74)(12, 77)(13, 81)(14, 59)(15, 63)(16, 79)(17, 82)(18, 83)(19, 62)(20, 78)(21, 64)(22, 84)(23, 65)(24, 67)(25, 70)(26, 75)(27, 76)(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) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.363
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1^2, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y1 * Y3^3, (Y2, Y3), (R * Y1)^2, Y2^-2 * Y3^-1 * Y2^-2, Y2^-1 * Y1^-1 * Y2 * Y3^-3, (Y2^-1 * Y3)^28 ]
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, 26, 54, 14, 42, 13, 41)(6, 34, 10, 38, 16, 44, 22, 50, 27, 55, 19, 47, 17, 45)(11, 39, 20, 48, 18, 46, 23, 51, 28, 56, 25, 53, 24, 52)(57, 85, 59, 87, 67, 95, 75, 103, 63, 91, 70, 98, 81, 109, 78, 106, 65, 93, 77, 105, 79, 107, 66, 94, 58, 86, 64, 92, 76, 104, 73, 101, 61, 89, 69, 97, 80, 108, 83, 111, 71, 99, 82, 110, 84, 112, 72, 100, 60, 88, 68, 96, 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, 74)(12, 82)(13, 64)(14, 59)(15, 61)(16, 83)(17, 66)(18, 84)(19, 62)(20, 79)(21, 70)(22, 75)(23, 81)(24, 76)(25, 67)(26, 69)(27, 73)(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) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.366
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^2 * Y3 * Y2^2, (R * Y2 * Y3^-1)^2, Y1^7, Y3^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 22, 50, 26, 54, 19, 47, 10, 38)(5, 33, 8, 36, 16, 44, 23, 51, 27, 55, 21, 49, 12, 40)(9, 37, 13, 41, 17, 45, 24, 52, 28, 56, 25, 53, 18, 46)(57, 85, 59, 87, 65, 93, 68, 96, 60, 88, 66, 94, 74, 102, 77, 105, 67, 95, 75, 103, 81, 109, 83, 111, 76, 104, 82, 110, 84, 112, 79, 107, 70, 98, 78, 106, 80, 108, 72, 100, 62, 90, 71, 99, 73, 101, 64, 92, 58, 86, 63, 91, 69, 97, 61, 89)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 69)(10, 59)(11, 60)(12, 61)(13, 73)(14, 76)(15, 78)(16, 79)(17, 80)(18, 65)(19, 66)(20, 67)(21, 68)(22, 82)(23, 83)(24, 84)(25, 74)(26, 75)(27, 77)(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) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.367
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (Y2^-1, Y1^-1), Y3 * Y1^3, (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y3^-1, Y2^-1 * Y3 * Y2^-3, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2 ]
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, 27, 55, 18, 46, 25, 53, 28, 56, 26, 54)(57, 85, 59, 87, 68, 96, 72, 100, 60, 88, 69, 97, 81, 109, 67, 95, 58, 86, 65, 93, 78, 106, 80, 108, 66, 94, 79, 107, 84, 112, 77, 105, 64, 92, 76, 104, 83, 111, 73, 101, 61, 89, 70, 98, 82, 110, 75, 103, 63, 91, 71, 99, 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, 81)(13, 65)(14, 71)(15, 59)(16, 67)(17, 75)(18, 68)(19, 62)(20, 70)(21, 73)(22, 84)(23, 76)(24, 77)(25, 78)(26, 74)(27, 82)(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, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.356
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1, (Y2^-1, Y3), (Y1^-1, Y2), Y3 * Y1^-3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-4, Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
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, 28, 56, 26, 54, 18, 46, 24, 52, 27, 55)(57, 85, 59, 87, 68, 96, 72, 100, 60, 88, 69, 97, 82, 110, 73, 101, 61, 89, 70, 98, 83, 111, 77, 105, 64, 92, 76, 104, 84, 112, 81, 109, 67, 95, 79, 107, 80, 108, 66, 94, 58, 86, 65, 93, 78, 106, 75, 103, 63, 91, 71, 99, 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, 82)(13, 70)(14, 76)(15, 59)(16, 73)(17, 77)(18, 68)(19, 62)(20, 79)(21, 81)(22, 74)(23, 65)(24, 78)(25, 66)(26, 83)(27, 84)(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) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.353
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (Y3^-1, Y2^-1), (R * Y2)^2, Y1 * Y3^3, Y3 * Y2^-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, 24, 52, 28, 56, 27, 55, 18, 46, 23, 51)(57, 85, 59, 87, 67, 95, 72, 100, 60, 88, 68, 96, 80, 108, 82, 110, 71, 99, 81, 109, 83, 111, 73, 101, 61, 89, 69, 97, 79, 107, 66, 94, 58, 86, 64, 92, 76, 104, 78, 106, 65, 93, 77, 105, 84, 112, 75, 103, 63, 91, 70, 98, 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, 80)(12, 81)(13, 64)(14, 59)(15, 61)(16, 82)(17, 66)(18, 67)(19, 62)(20, 84)(21, 70)(22, 75)(23, 76)(24, 83)(25, 69)(26, 73)(27, 79)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.355
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-3, (Y2, Y3), Y2^-3 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 15, 43, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 21, 49, 26, 54, 12, 40, 13, 41)(6, 34, 9, 37, 19, 47, 23, 51, 27, 55, 16, 44, 17, 45)(11, 39, 20, 48, 18, 46, 22, 50, 28, 56, 24, 52, 25, 53)(57, 85, 59, 87, 67, 95, 72, 100, 60, 88, 68, 96, 80, 108, 79, 107, 66, 94, 77, 105, 78, 106, 65, 93, 58, 86, 64, 92, 76, 104, 73, 101, 61, 89, 69, 97, 81, 109, 83, 111, 71, 99, 82, 110, 84, 112, 75, 103, 63, 91, 70, 98, 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, 80)(12, 77)(13, 82)(14, 59)(15, 63)(16, 79)(17, 83)(18, 67)(19, 62)(20, 81)(21, 64)(22, 76)(23, 65)(24, 78)(25, 84)(26, 70)(27, 75)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.357
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^7, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^2)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 19, 47, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 22, 50, 25, 53, 18, 46, 10, 38)(5, 33, 8, 36, 16, 44, 23, 51, 26, 54, 20, 48, 12, 40)(9, 37, 17, 45, 24, 52, 28, 56, 27, 55, 21, 49, 13, 41)(57, 85, 59, 87, 65, 93, 64, 92, 58, 86, 63, 91, 73, 101, 72, 100, 62, 90, 71, 99, 80, 108, 79, 107, 70, 98, 78, 106, 84, 112, 82, 110, 75, 103, 81, 109, 83, 111, 76, 104, 67, 95, 74, 102, 77, 105, 68, 96, 60, 88, 66, 94, 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, 65)(14, 75)(15, 78)(16, 79)(17, 80)(18, 66)(19, 67)(20, 68)(21, 69)(22, 81)(23, 82)(24, 84)(25, 74)(26, 76)(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, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.354
Graph:: bipartite
	v = 5 e = 56 f = 5
	degree seq :: [ 14^4, 56 ]

E24.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1^-2, (Y3^-1, Y1^-1), Y3^4, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y3^-1, Y2), Y2^3 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 27, 55, 25, 53, 17, 45, 4, 32, 10, 38, 6, 34, 11, 39, 20, 48, 15, 43, 22, 50, 16, 44, 23, 51, 18, 46, 24, 52, 14, 42, 3, 31, 9, 37, 7, 35, 12, 40, 21, 49, 28, 56, 26, 54, 13, 41, 5, 33)(57, 85, 59, 87, 67, 95, 58, 86, 65, 93, 76, 104, 64, 92, 63, 91, 71, 99, 75, 103, 68, 96, 78, 106, 83, 111, 77, 105, 72, 100, 81, 109, 84, 112, 79, 107, 73, 101, 82, 110, 74, 102, 60, 88, 69, 97, 80, 108, 66, 94, 61, 89, 70, 98, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 72)(5, 73)(6, 74)(7, 57)(8, 62)(9, 61)(10, 79)(11, 80)(12, 58)(13, 81)(14, 82)(15, 59)(16, 63)(17, 78)(18, 77)(19, 67)(20, 70)(21, 64)(22, 65)(23, 68)(24, 84)(25, 71)(26, 83)(27, 76)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.344
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3^-1), (Y3^-1, Y2^-1), Y2^-2 * Y3^-1 * Y1, (Y2, Y1^-1), Y3 * Y1^-1 * Y2^2, Y2 * Y1^-1 * Y2 * Y3, Y3^4, (R * Y3)^2, (Y3, Y1), (R * Y2)^2, (R * Y1)^2, Y2^5 * Y1, Y1^-1 * Y3^-1 * Y1^-3 * Y2, Y3^-2 * Y1^-1 * Y2^-1 * Y1^-2, Y1 * Y2 * Y1 * Y3^-1 * Y2^2, (Y1 * Y3^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 14, 42, 26, 54, 16, 44, 4, 32, 10, 38, 23, 51, 13, 41, 3, 31, 9, 37, 22, 50, 15, 43, 27, 55, 19, 47, 6, 34, 11, 39, 24, 52, 20, 48, 7, 35, 12, 40, 25, 53, 17, 45, 28, 56, 18, 46, 5, 33)(57, 85, 59, 87, 68, 96, 82, 110, 75, 103, 61, 89, 69, 97, 63, 91, 70, 98, 83, 111, 74, 102, 79, 107, 76, 104, 77, 105, 71, 99, 84, 112, 66, 94, 80, 108, 64, 92, 78, 106, 73, 101, 60, 88, 67, 95, 58, 86, 65, 93, 81, 109, 72, 100, 62, 90)
	L = (1, 60)(2, 66)(3, 67)(4, 71)(5, 72)(6, 73)(7, 57)(8, 79)(9, 80)(10, 83)(11, 84)(12, 58)(13, 62)(14, 59)(15, 63)(16, 78)(17, 77)(18, 82)(19, 81)(20, 61)(21, 69)(22, 76)(23, 75)(24, 74)(25, 64)(26, 65)(27, 68)(28, 70)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.343
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2^-2, (Y2^-1, Y1^-1), Y2^2 * Y3 * Y2, (R * Y2)^2, Y2^-2 * Y3 * Y1^-1, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, Y3 * Y1^-2 * Y2 * Y3 * Y1, Y1^-2 * Y3^-1 * Y1^-3, Y1^-1 * Y2^-1 * Y3^-8 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 18, 46, 17, 45, 7, 35, 12, 40, 22, 50, 28, 56, 24, 52, 14, 42, 3, 31, 9, 37, 19, 47, 26, 54, 25, 53, 15, 43, 6, 34, 11, 39, 21, 49, 27, 55, 23, 51, 13, 41, 4, 32, 10, 38, 20, 48, 16, 44, 5, 33)(57, 85, 59, 87, 69, 97, 63, 91, 71, 99, 61, 89, 70, 98, 79, 107, 73, 101, 81, 109, 72, 100, 80, 108, 83, 111, 74, 102, 82, 110, 76, 104, 84, 112, 77, 105, 64, 92, 75, 103, 66, 94, 78, 106, 67, 95, 58, 86, 65, 93, 60, 88, 68, 96, 62, 90)
	L = (1, 60)(2, 66)(3, 68)(4, 67)(5, 69)(6, 65)(7, 57)(8, 76)(9, 78)(10, 77)(11, 75)(12, 58)(13, 62)(14, 63)(15, 59)(16, 79)(17, 61)(18, 72)(19, 84)(20, 83)(21, 82)(22, 64)(23, 71)(24, 73)(25, 70)(26, 80)(27, 81)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.345
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), (Y3^-1, Y2^-1), Y2 * Y1^-3, (Y3^-1, Y1^-1), Y3^2 * Y1^-1 * Y3, Y2^-2 * Y3^-1 * Y2^-1, (Y2, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 3, 31, 9, 37, 20, 48, 13, 41, 23, 51, 19, 47, 7, 35, 12, 40, 22, 50, 15, 43, 25, 53, 28, 56, 27, 55, 17, 45, 26, 54, 16, 44, 4, 32, 10, 38, 21, 49, 14, 42, 24, 52, 18, 46, 6, 34, 11, 39, 5, 33)(57, 85, 59, 87, 69, 97, 63, 91, 71, 99, 83, 111, 72, 100, 77, 105, 74, 102, 61, 89, 64, 92, 76, 104, 75, 103, 78, 106, 84, 112, 82, 110, 66, 94, 80, 108, 67, 95, 58, 86, 65, 93, 79, 107, 68, 96, 81, 109, 73, 101, 60, 88, 70, 98, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 68)(5, 72)(6, 73)(7, 57)(8, 77)(9, 80)(10, 78)(11, 82)(12, 58)(13, 62)(14, 81)(15, 59)(16, 63)(17, 79)(18, 83)(19, 61)(20, 74)(21, 71)(22, 64)(23, 67)(24, 84)(25, 65)(26, 75)(27, 69)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.346
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2)^2, Y3^7, Y2^3 * Y3^-1 * Y2 * Y3^-2, Y2^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 16, 44, 7, 35)(4, 32, 10, 38, 15, 43, 6, 34)(11, 39, 19, 47, 18, 46, 12, 40)(13, 41, 20, 48, 17, 45, 14, 42)(21, 49, 28, 56, 23, 51, 22, 50)(24, 52, 27, 55, 26, 54, 25, 53)(57, 85, 59, 87, 67, 95, 77, 105, 80, 108, 76, 104, 71, 99, 61, 89, 63, 91, 68, 96, 78, 106, 81, 109, 69, 97, 66, 94, 64, 92, 72, 100, 74, 102, 79, 107, 82, 110, 70, 98, 60, 88, 58, 86, 65, 93, 75, 103, 84, 112, 83, 111, 73, 101, 62, 90)
	L = (1, 60)(2, 66)(3, 58)(4, 69)(5, 62)(6, 70)(7, 57)(8, 71)(9, 64)(10, 76)(11, 65)(12, 59)(13, 80)(14, 81)(15, 73)(16, 61)(17, 82)(18, 63)(19, 72)(20, 83)(21, 75)(22, 67)(23, 68)(24, 84)(25, 77)(26, 78)(27, 79)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.392
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1, Y3 * Y2 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^4, Y2^4 * Y3^-3, Y3^21, (Y3 * Y2^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 7, 35, 10, 38, 12, 40)(4, 32, 6, 34, 9, 37, 15, 43)(11, 39, 13, 41, 18, 46, 20, 48)(14, 42, 16, 44, 17, 45, 19, 47)(21, 49, 22, 50, 23, 51, 28, 56)(24, 52, 25, 53, 26, 54, 27, 55)(57, 85, 59, 87, 67, 95, 77, 105, 80, 108, 75, 103, 65, 93, 58, 86, 63, 91, 69, 97, 78, 106, 81, 109, 70, 98, 71, 99, 64, 92, 66, 94, 74, 102, 79, 107, 82, 110, 72, 100, 60, 88, 61, 89, 68, 96, 76, 104, 84, 112, 83, 111, 73, 101, 62, 90)
	L = (1, 60)(2, 62)(3, 61)(4, 70)(5, 71)(6, 72)(7, 57)(8, 65)(9, 73)(10, 58)(11, 68)(12, 64)(13, 59)(14, 80)(15, 75)(16, 81)(17, 82)(18, 63)(19, 83)(20, 66)(21, 76)(22, 67)(23, 69)(24, 84)(25, 77)(26, 78)(27, 79)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.397
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, (Y2, Y1), Y1^4, (Y3, Y2^-1), (R * Y2)^2, Y2^-2 * Y1^2 * Y3, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1^2 * Y2^-2, Y3 * Y1 * Y2 * Y3^2, Y3^2 * Y2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 19, 47, 15, 43)(4, 32, 10, 38, 13, 41, 18, 46)(6, 34, 11, 39, 16, 44, 20, 48)(7, 35, 12, 40, 22, 50, 21, 49)(14, 42, 24, 52, 26, 54, 27, 55)(17, 45, 23, 51, 25, 53, 28, 56)(57, 85, 59, 87, 69, 97, 82, 110, 73, 101, 77, 105, 67, 95, 58, 86, 65, 93, 74, 102, 83, 111, 79, 107, 63, 91, 72, 100, 64, 92, 75, 103, 60, 88, 70, 98, 81, 109, 68, 96, 76, 104, 61, 89, 71, 99, 66, 94, 80, 108, 84, 112, 78, 106, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 69)(9, 80)(10, 79)(11, 71)(12, 58)(13, 81)(14, 77)(15, 83)(16, 59)(17, 76)(18, 84)(19, 82)(20, 65)(21, 61)(22, 64)(23, 62)(24, 63)(25, 67)(26, 68)(27, 78)(28, 72)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.393
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y2, Y3), (R * Y2)^2, Y1^4, (Y3, Y1^-1), Y3^2 * Y2^-1 * Y3 * Y1, Y1^-2 * Y2 * Y3 * Y2, Y3^3 * Y1 * Y2^-1, Y3 * Y1^2 * Y2^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y1^-1 * Y3^2 * Y2^25, Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 23, 51, 15, 43)(4, 32, 10, 38, 22, 50, 18, 46)(6, 34, 11, 39, 14, 42, 20, 48)(7, 35, 12, 40, 13, 41, 21, 49)(16, 44, 25, 53, 27, 55, 17, 45)(19, 47, 24, 52, 26, 54, 28, 56)(57, 85, 59, 87, 69, 97, 83, 111, 80, 108, 66, 94, 76, 104, 61, 89, 71, 99, 68, 96, 81, 109, 75, 103, 60, 88, 70, 98, 64, 92, 79, 107, 63, 91, 72, 100, 84, 112, 74, 102, 67, 95, 58, 86, 65, 93, 77, 105, 73, 101, 82, 110, 78, 106, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 78)(9, 76)(10, 72)(11, 80)(12, 58)(13, 64)(14, 82)(15, 67)(16, 59)(17, 71)(18, 83)(19, 77)(20, 84)(21, 61)(22, 81)(23, 62)(24, 63)(25, 65)(26, 68)(27, 79)(28, 69)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.395
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y1^4, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^2 * Y3 * Y1^-1, Y2 * Y1 * Y3^-3, Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y2^9 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 23, 51, 15, 43)(4, 32, 10, 38, 22, 50, 18, 46)(6, 34, 11, 39, 14, 42, 20, 48)(7, 35, 12, 40, 13, 41, 21, 49)(16, 44, 17, 45, 25, 53, 28, 56)(19, 47, 26, 54, 27, 55, 24, 52)(57, 85, 59, 87, 69, 97, 81, 109, 80, 108, 74, 102, 67, 95, 58, 86, 65, 93, 77, 105, 84, 112, 75, 103, 60, 88, 70, 98, 64, 92, 79, 107, 63, 91, 72, 100, 82, 110, 66, 94, 76, 104, 61, 89, 71, 99, 68, 96, 73, 101, 83, 111, 78, 106, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 78)(9, 76)(10, 81)(11, 82)(12, 58)(13, 64)(14, 83)(15, 67)(16, 59)(17, 65)(18, 72)(19, 68)(20, 80)(21, 61)(22, 84)(23, 62)(24, 63)(25, 79)(26, 69)(27, 77)(28, 71)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.396
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3^-2, (Y1, Y3^-1), Y1^-1 * Y3^-2 * Y2^-1, (R * Y1)^2, Y2 * Y3 * Y1 * Y3, Y1^4, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y2^-3, Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 21, 49, 15, 43)(4, 32, 10, 38, 22, 50, 18, 46)(6, 34, 11, 39, 23, 51, 17, 45)(7, 35, 12, 40, 24, 52, 14, 42)(13, 41, 25, 53, 27, 55, 19, 47)(16, 44, 26, 54, 28, 56, 20, 48)(57, 85, 59, 87, 69, 97, 66, 94, 63, 91, 72, 100, 67, 95, 58, 86, 65, 93, 81, 109, 78, 106, 68, 96, 82, 110, 79, 107, 64, 92, 77, 105, 83, 111, 74, 102, 80, 108, 84, 112, 73, 101, 61, 89, 71, 99, 75, 103, 60, 88, 70, 98, 76, 104, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 78)(9, 63)(10, 62)(11, 69)(12, 58)(13, 76)(14, 61)(15, 80)(16, 59)(17, 83)(18, 79)(19, 84)(20, 71)(21, 68)(22, 67)(23, 81)(24, 64)(25, 72)(26, 65)(27, 82)(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) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.394
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), Y3^-2 * Y2 * Y1, Y3 * Y2^-1 * Y1^-1 * Y3, Y1^-1 * Y3 * Y2^-1 * Y3, Y1^4, (Y3, Y2^-1), (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^2 * Y1^-1, Y3^2 * Y1^2 * Y2^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 21, 49, 15, 43)(4, 32, 10, 38, 22, 50, 16, 44)(6, 34, 11, 39, 23, 51, 17, 45)(7, 35, 12, 40, 24, 52, 18, 46)(13, 41, 25, 53, 28, 56, 20, 48)(14, 42, 26, 54, 27, 55, 19, 47)(57, 85, 59, 87, 69, 97, 68, 96, 60, 88, 70, 98, 67, 95, 58, 86, 65, 93, 81, 109, 80, 108, 66, 94, 82, 110, 79, 107, 64, 92, 77, 105, 84, 112, 74, 102, 78, 106, 83, 111, 73, 101, 61, 89, 71, 99, 76, 104, 63, 91, 72, 100, 75, 103, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 65)(5, 72)(6, 68)(7, 57)(8, 78)(9, 82)(10, 77)(11, 80)(12, 58)(13, 67)(14, 81)(15, 75)(16, 59)(17, 63)(18, 61)(19, 69)(20, 62)(21, 83)(22, 71)(23, 74)(24, 64)(25, 79)(26, 84)(27, 76)(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) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.391
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, (Y1, Y3^-1), Y1^4, Y2 * Y1 * Y3^3, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 21, 49, 14, 42)(4, 32, 10, 38, 22, 50, 16, 44)(6, 34, 11, 39, 23, 51, 17, 45)(7, 35, 12, 40, 24, 52, 18, 46)(13, 41, 20, 48, 26, 54, 27, 55)(15, 43, 19, 47, 25, 53, 28, 56)(57, 85, 59, 87, 60, 88, 69, 97, 71, 99, 74, 102, 73, 101, 61, 89, 70, 98, 72, 100, 83, 111, 84, 112, 80, 108, 79, 107, 64, 92, 77, 105, 78, 106, 82, 110, 81, 109, 68, 96, 67, 95, 58, 86, 65, 93, 66, 94, 76, 104, 75, 103, 63, 91, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 59)(7, 57)(8, 78)(9, 76)(10, 75)(11, 65)(12, 58)(13, 74)(14, 83)(15, 73)(16, 84)(17, 70)(18, 61)(19, 62)(20, 63)(21, 82)(22, 81)(23, 77)(24, 64)(25, 67)(26, 68)(27, 80)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.398
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y1^4, Y3 * Y2^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y3^2, Y3^-1 * Y1 * Y2 * Y3^-2, 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 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 21, 49, 13, 41)(4, 32, 10, 38, 22, 50, 16, 44)(6, 34, 11, 39, 23, 51, 18, 46)(7, 35, 12, 40, 24, 52, 19, 47)(14, 42, 15, 43, 25, 53, 27, 55)(17, 45, 26, 54, 28, 56, 20, 48)(57, 85, 59, 87, 63, 91, 70, 98, 76, 104, 72, 100, 74, 102, 61, 89, 69, 97, 75, 103, 83, 111, 84, 112, 78, 106, 79, 107, 64, 92, 77, 105, 80, 108, 81, 109, 82, 110, 66, 94, 67, 95, 58, 86, 65, 93, 68, 96, 71, 99, 73, 101, 60, 88, 62, 90)
	L = (1, 60)(2, 66)(3, 62)(4, 71)(5, 72)(6, 73)(7, 57)(8, 78)(9, 67)(10, 81)(11, 82)(12, 58)(13, 74)(14, 59)(15, 65)(16, 70)(17, 68)(18, 76)(19, 61)(20, 63)(21, 79)(22, 83)(23, 84)(24, 64)(25, 77)(26, 80)(27, 69)(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) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.399
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y3^2, Y2^2 * Y1^-2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2^4, Y3^7, Y2^2 * Y1 * Y2 * Y1^2 * Y3^-1, Y1^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 25, 53, 17, 45, 24, 52, 13, 41, 7, 35, 12, 40, 22, 50, 26, 54, 15, 43, 6, 34, 11, 39, 3, 31, 9, 37, 20, 48, 28, 56, 16, 44, 4, 32, 10, 38, 21, 49, 14, 42, 23, 51, 27, 55, 18, 46, 5, 33)(57, 85, 59, 87, 64, 92, 76, 104, 81, 109, 72, 100, 80, 108, 66, 94, 63, 91, 70, 98, 78, 106, 83, 111, 71, 99, 61, 89, 67, 95, 58, 86, 65, 93, 75, 103, 84, 112, 73, 101, 60, 88, 69, 97, 77, 105, 68, 96, 79, 107, 82, 110, 74, 102, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 73)(7, 57)(8, 77)(9, 63)(10, 62)(11, 80)(12, 58)(13, 61)(14, 59)(15, 81)(16, 82)(17, 83)(18, 84)(19, 70)(20, 68)(21, 67)(22, 64)(23, 65)(24, 74)(25, 79)(26, 75)(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) :: { ( 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
Dual of E24.388
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), (Y3, Y1^-1), Y3 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y2^-1 * Y1 * Y3^-2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-2 * Y2^-2, Y2^2 * Y3 * Y1^2, Y2^4 * Y3^-2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^2, Y3 * 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 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 17, 45, 23, 51, 25, 53, 13, 41, 20, 48, 7, 35, 12, 40, 19, 47, 6, 34, 11, 39, 22, 50, 26, 54, 27, 55, 14, 42, 3, 31, 9, 37, 16, 44, 4, 32, 10, 38, 21, 49, 24, 52, 28, 56, 15, 43, 18, 46, 5, 33)(57, 85, 59, 87, 69, 97, 80, 108, 67, 95, 58, 86, 65, 93, 76, 104, 84, 112, 78, 106, 64, 92, 72, 100, 63, 91, 71, 99, 82, 110, 73, 101, 60, 88, 68, 96, 74, 102, 83, 111, 79, 107, 66, 94, 75, 103, 61, 89, 70, 98, 81, 109, 77, 105, 62, 90)
	L = (1, 60)(2, 66)(3, 68)(4, 67)(5, 72)(6, 73)(7, 57)(8, 77)(9, 75)(10, 78)(11, 79)(12, 58)(13, 74)(14, 63)(15, 59)(16, 62)(17, 80)(18, 65)(19, 64)(20, 61)(21, 82)(22, 81)(23, 84)(24, 83)(25, 71)(26, 69)(27, 76)(28, 70)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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
Dual of E24.382
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^3, (Y2^-1, Y3^-1), (Y1^-1, Y3^-1), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-2, Y3^-1 * Y2 * Y3^-2 * Y1, Y3^-1 * Y2^-1 * Y3^-3 * Y1^-1, (Y2^2 * Y3^-1)^2, (Y1 * Y2^-1 * Y3^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 3, 31, 9, 37, 22, 50, 13, 41, 20, 48, 7, 35, 12, 40, 24, 52, 15, 43, 16, 44, 25, 53, 27, 55, 28, 56, 23, 51, 18, 46, 26, 54, 17, 45, 4, 32, 10, 38, 21, 49, 14, 42, 19, 47, 6, 34, 11, 39, 5, 33)(57, 85, 59, 87, 69, 97, 68, 96, 72, 100, 84, 112, 82, 110, 66, 94, 75, 103, 61, 89, 64, 92, 78, 106, 63, 91, 71, 99, 83, 111, 74, 102, 60, 88, 70, 98, 67, 95, 58, 86, 65, 93, 76, 104, 80, 108, 81, 109, 79, 107, 73, 101, 77, 105, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 72)(5, 73)(6, 74)(7, 57)(8, 77)(9, 75)(10, 81)(11, 82)(12, 58)(13, 67)(14, 84)(15, 59)(16, 65)(17, 71)(18, 68)(19, 79)(20, 61)(21, 83)(22, 62)(23, 63)(24, 64)(25, 78)(26, 80)(27, 69)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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
Dual of E24.384
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^-1 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y2^-2, Y1^2 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y1 * Y2 * Y3^3 * Y2^-4, (Y2^-1 * Y1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 14, 42, 24, 52, 25, 53, 20, 48, 19, 47, 7, 35, 12, 40, 15, 43, 3, 31, 9, 37, 22, 50, 26, 54, 27, 55, 18, 46, 6, 34, 11, 39, 16, 44, 4, 32, 10, 38, 13, 41, 23, 51, 28, 56, 21, 49, 17, 45, 5, 33)(57, 85, 59, 87, 69, 97, 81, 109, 74, 102, 61, 89, 71, 99, 66, 94, 80, 108, 83, 111, 73, 101, 68, 96, 60, 88, 70, 98, 82, 110, 77, 105, 63, 91, 72, 100, 64, 92, 78, 106, 84, 112, 75, 103, 67, 95, 58, 86, 65, 93, 79, 107, 76, 104, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 65)(5, 72)(6, 68)(7, 57)(8, 69)(9, 80)(10, 78)(11, 71)(12, 58)(13, 82)(14, 79)(15, 64)(16, 59)(17, 67)(18, 63)(19, 61)(20, 73)(21, 62)(22, 81)(23, 83)(24, 84)(25, 77)(26, 76)(27, 75)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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
Dual of E24.387
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1^2, (Y1^-1, Y2), (Y2^-1, Y3^-1), (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^3 * Y2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 6, 34, 11, 39, 16, 44, 21, 49, 20, 48, 7, 35, 12, 40, 24, 52, 22, 50, 17, 45, 26, 54, 27, 55, 28, 56, 23, 51, 14, 42, 25, 53, 18, 46, 4, 32, 10, 38, 13, 41, 19, 47, 15, 43, 3, 31, 9, 37, 5, 33)(57, 85, 59, 87, 69, 97, 74, 102, 79, 107, 82, 110, 80, 108, 76, 104, 67, 95, 58, 86, 65, 93, 75, 103, 60, 88, 70, 98, 83, 111, 78, 106, 63, 91, 72, 100, 64, 92, 61, 89, 71, 99, 66, 94, 81, 109, 84, 112, 73, 101, 68, 96, 77, 105, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 69)(9, 81)(10, 82)(11, 71)(12, 58)(13, 83)(14, 68)(15, 79)(16, 59)(17, 67)(18, 78)(19, 84)(20, 61)(21, 65)(22, 62)(23, 63)(24, 64)(25, 80)(26, 72)(27, 77)(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) :: { ( 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
Dual of E24.385
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y1), (Y3, Y1^-1), (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y3^2 * Y1, Y3 * Y1^3 * Y2^-1, Y2 * Y1 * Y3^3, Y2 * Y3 * Y2^3, Y3 * Y1 * Y2^-1 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 16, 44, 21, 49, 6, 34, 11, 39, 22, 50, 7, 35, 12, 40, 23, 51, 26, 54, 17, 45, 24, 52, 27, 55, 14, 42, 25, 53, 28, 56, 13, 41, 18, 46, 4, 32, 10, 38, 15, 43, 3, 31, 9, 37, 19, 47, 20, 48, 5, 33)(57, 85, 59, 87, 69, 97, 80, 108, 63, 91, 72, 100, 76, 104, 66, 94, 81, 109, 82, 110, 67, 95, 58, 86, 65, 93, 74, 102, 83, 111, 68, 96, 77, 105, 61, 89, 71, 99, 84, 112, 73, 101, 78, 106, 64, 92, 75, 103, 60, 88, 70, 98, 79, 107, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 71)(9, 81)(10, 80)(11, 76)(12, 58)(13, 79)(14, 78)(15, 83)(16, 59)(17, 77)(18, 82)(19, 84)(20, 69)(21, 65)(22, 61)(23, 64)(24, 62)(25, 63)(26, 72)(27, 67)(28, 68)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.386
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3, Y2 * Y1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2^2, (R * Y1)^2, Y3^-3 * Y2^-1 * Y3^-3 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^8 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 18, 46, 21, 49, 28, 56, 23, 51, 15, 43, 7, 35, 6, 34, 10, 38, 11, 39, 13, 41, 20, 48, 27, 55, 24, 52, 17, 45, 16, 44, 12, 40, 3, 31, 4, 32, 9, 37, 19, 47, 26, 54, 25, 53, 22, 50, 14, 42, 5, 33)(57, 85, 59, 87, 66, 94, 58, 86, 60, 88, 67, 95, 64, 92, 65, 93, 69, 97, 74, 102, 75, 103, 76, 104, 77, 105, 82, 110, 83, 111, 84, 112, 81, 109, 80, 108, 79, 107, 78, 106, 73, 101, 71, 99, 70, 98, 72, 100, 63, 91, 61, 89, 68, 96, 62, 90)
	L = (1, 60)(2, 65)(3, 67)(4, 69)(5, 59)(6, 58)(7, 57)(8, 75)(9, 76)(10, 64)(11, 74)(12, 66)(13, 77)(14, 68)(15, 61)(16, 62)(17, 63)(18, 82)(19, 83)(20, 84)(21, 81)(22, 72)(23, 70)(24, 71)(25, 73)(26, 80)(27, 79)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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
Dual of E24.383
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (Y3, Y1^-1), Y3 * Y2 * Y3 * Y1^-1, (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-4 * Y2 * Y3 * Y1, Y1^-2 * Y3^-1 * Y2^-1 * Y1^-3, Y3^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 18, 46, 24, 52, 14, 42, 4, 32, 10, 38, 20, 48, 26, 54, 16, 44, 6, 34, 11, 39, 21, 49, 28, 56, 23, 51, 13, 41, 3, 31, 9, 37, 19, 47, 27, 55, 17, 45, 7, 35, 12, 40, 22, 50, 25, 53, 15, 43, 5, 33)(57, 85, 59, 87, 60, 88, 68, 96, 67, 95, 58, 86, 65, 93, 66, 94, 78, 106, 77, 105, 64, 92, 75, 103, 76, 104, 81, 109, 84, 112, 74, 102, 83, 111, 82, 110, 71, 99, 79, 107, 80, 108, 73, 101, 72, 100, 61, 89, 69, 97, 70, 98, 63, 91, 62, 90)
	L = (1, 60)(2, 66)(3, 68)(4, 67)(5, 70)(6, 59)(7, 57)(8, 76)(9, 78)(10, 77)(11, 65)(12, 58)(13, 63)(14, 62)(15, 80)(16, 69)(17, 61)(18, 82)(19, 81)(20, 84)(21, 75)(22, 64)(23, 73)(24, 72)(25, 74)(26, 79)(27, 71)(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) :: { ( 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
Dual of E24.389
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 28, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, Y1^-1 * Y2^-1 * Y1^-2, (Y2^-1, Y1), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3^3 * Y2^-1, (Y3^-1 * Y1^-1 * Y2)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 6, 34, 11, 39, 16, 44, 4, 32, 10, 38, 20, 48, 17, 45, 23, 51, 26, 54, 15, 43, 22, 50, 28, 56, 27, 55, 19, 47, 24, 52, 25, 53, 14, 42, 21, 49, 18, 46, 7, 35, 12, 40, 13, 41, 3, 31, 9, 37, 5, 33)(57, 85, 59, 87, 63, 91, 70, 98, 75, 103, 78, 106, 79, 107, 66, 94, 67, 95, 58, 86, 65, 93, 68, 96, 77, 105, 80, 108, 84, 112, 82, 110, 76, 104, 72, 100, 64, 92, 61, 89, 69, 97, 74, 102, 81, 109, 83, 111, 71, 99, 73, 101, 60, 88, 62, 90)
	L = (1, 60)(2, 66)(3, 62)(4, 71)(5, 72)(6, 73)(7, 57)(8, 76)(9, 67)(10, 78)(11, 79)(12, 58)(13, 64)(14, 59)(15, 81)(16, 82)(17, 83)(18, 61)(19, 63)(20, 84)(21, 65)(22, 70)(23, 75)(24, 68)(25, 69)(26, 80)(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, 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
Dual of E24.390
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^-2, (Y2, Y1^-1), (Y3^-1, Y1), (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y2^4 * Y1, (R * Y2 * Y3^-1)^2, Y1^10, 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 18, 48, 6, 36, 11, 41)(4, 34, 10, 40, 21, 51, 27, 57, 15, 45)(7, 37, 12, 42, 22, 52, 29, 59, 19, 49)(13, 43, 23, 53, 30, 60, 20, 50, 26, 56)(14, 44, 24, 54, 28, 58, 16, 46, 25, 55)(61, 91, 63, 93, 68, 98, 78, 108, 65, 95, 71, 101, 62, 92, 69, 99, 77, 107, 66, 96)(64, 94, 74, 104, 81, 111, 88, 118, 75, 105, 85, 115, 70, 100, 84, 114, 87, 117, 76, 106)(67, 97, 73, 103, 82, 112, 90, 120, 79, 109, 86, 116, 72, 102, 83, 113, 89, 119, 80, 110)
	L = (1, 64)(2, 70)(3, 73)(4, 67)(5, 75)(6, 80)(7, 61)(8, 81)(9, 83)(10, 72)(11, 86)(12, 62)(13, 74)(14, 63)(15, 79)(16, 66)(17, 87)(18, 90)(19, 65)(20, 76)(21, 82)(22, 68)(23, 84)(24, 69)(25, 71)(26, 85)(27, 89)(28, 78)(29, 77)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.423
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y2^-2 * Y1^-1, (Y1, Y2), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), Y3 * Y2^-1 * Y3 * Y2, Y2^-2 * Y1^3, (Y2^-1 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 15, 45)(4, 34, 10, 40, 21, 51, 27, 57, 17, 47)(7, 37, 12, 42, 22, 52, 28, 58, 19, 49)(14, 44, 23, 53, 20, 50, 26, 56, 29, 59)(16, 46, 24, 54, 18, 48, 25, 55, 30, 60)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 68, 98, 66, 96)(64, 94, 76, 106, 87, 117, 85, 115, 70, 100, 84, 114, 77, 107, 90, 120, 81, 111, 78, 108)(67, 97, 74, 104, 88, 118, 86, 116, 72, 102, 83, 113, 79, 109, 89, 119, 82, 112, 80, 110)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 80)(7, 61)(8, 81)(9, 83)(10, 72)(11, 86)(12, 62)(13, 87)(14, 76)(15, 89)(16, 63)(17, 79)(18, 66)(19, 65)(20, 78)(21, 82)(22, 68)(23, 84)(24, 69)(25, 71)(26, 85)(27, 88)(28, 73)(29, 90)(30, 75)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.424
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3^3, (Y3^-1, Y1), (R * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 5, 35)(3, 33, 9, 39, 20, 50, 17, 47, 6, 36)(4, 34, 10, 40, 21, 51, 25, 55, 14, 44)(7, 37, 11, 41, 22, 52, 27, 57, 18, 48)(12, 42, 23, 53, 29, 59, 28, 58, 19, 49)(13, 43, 24, 54, 30, 60, 26, 56, 15, 45)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 80, 110, 76, 106, 77, 107, 65, 95, 66, 96)(64, 94, 73, 103, 70, 100, 84, 114, 81, 111, 90, 120, 85, 115, 86, 116, 74, 104, 75, 105)(67, 97, 72, 102, 71, 101, 83, 113, 82, 112, 89, 119, 87, 117, 88, 118, 78, 108, 79, 109)
	L = (1, 64)(2, 70)(3, 72)(4, 67)(5, 74)(6, 79)(7, 61)(8, 81)(9, 83)(10, 71)(11, 62)(12, 73)(13, 63)(14, 78)(15, 66)(16, 85)(17, 88)(18, 65)(19, 75)(20, 89)(21, 82)(22, 68)(23, 84)(24, 69)(25, 87)(26, 77)(27, 76)(28, 86)(29, 90)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.425
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2^-1, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, R * Y3^-1 * Y2^-1 * R * Y2^-1, Y1^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 6, 36, 10, 40, 21, 51, 13, 43)(4, 34, 9, 39, 20, 50, 27, 57, 15, 45)(7, 37, 11, 41, 22, 52, 28, 58, 18, 48)(12, 42, 19, 49, 24, 54, 30, 60, 25, 55)(14, 44, 16, 46, 23, 53, 29, 59, 26, 56)(61, 91, 63, 93, 65, 95, 73, 103, 77, 107, 81, 111, 68, 98, 70, 100, 62, 92, 66, 96)(64, 94, 74, 104, 75, 105, 86, 116, 87, 117, 89, 119, 80, 110, 83, 113, 69, 99, 76, 106)(67, 97, 72, 102, 78, 108, 85, 115, 88, 118, 90, 120, 82, 112, 84, 114, 71, 101, 79, 109)
	L = (1, 64)(2, 69)(3, 72)(4, 67)(5, 75)(6, 79)(7, 61)(8, 80)(9, 71)(10, 84)(11, 62)(12, 74)(13, 85)(14, 63)(15, 78)(16, 66)(17, 87)(18, 65)(19, 76)(20, 82)(21, 90)(22, 68)(23, 70)(24, 83)(25, 86)(26, 73)(27, 88)(28, 77)(29, 81)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.426
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2)^2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), Y1^-3 * Y2^2, Y1^-2 * Y3^-3, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, R * Y3^-1 * Y1 * Y2^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 15, 45)(4, 34, 10, 40, 24, 54, 30, 60, 19, 49)(7, 37, 12, 42, 25, 55, 18, 48, 21, 51)(14, 44, 26, 56, 22, 52, 23, 53, 29, 59)(16, 46, 27, 57, 17, 47, 28, 58, 20, 50)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 68, 98, 66, 96)(64, 94, 77, 107, 90, 120, 76, 106, 70, 100, 88, 118, 79, 109, 87, 117, 84, 114, 80, 110)(67, 97, 83, 113, 78, 108, 86, 116, 72, 102, 89, 119, 81, 111, 82, 112, 85, 115, 74, 104)
	L = (1, 64)(2, 70)(3, 74)(4, 78)(5, 79)(6, 82)(7, 61)(8, 84)(9, 86)(10, 81)(11, 83)(12, 62)(13, 90)(14, 88)(15, 89)(16, 63)(17, 66)(18, 73)(19, 85)(20, 75)(21, 65)(22, 76)(23, 87)(24, 67)(25, 68)(26, 80)(27, 69)(28, 71)(29, 77)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.434
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, (Y3^-1 * Y2^-1)^2, Y1 * Y3^-3, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^15 ]
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, 28, 58, 15, 45)(7, 37, 11, 41, 24, 54, 30, 60, 19, 49)(12, 42, 21, 51, 26, 56, 27, 57, 20, 50)(13, 43, 25, 55, 29, 59, 16, 46, 14, 44)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 82, 112, 77, 107, 78, 108, 65, 95, 66, 96)(64, 94, 74, 104, 70, 100, 73, 103, 83, 113, 85, 115, 88, 118, 89, 119, 75, 105, 76, 106)(67, 97, 81, 111, 71, 101, 86, 116, 84, 114, 87, 117, 90, 120, 80, 110, 79, 109, 72, 102)
	L = (1, 64)(2, 70)(3, 72)(4, 71)(5, 75)(6, 80)(7, 61)(8, 83)(9, 81)(10, 84)(11, 62)(12, 85)(13, 63)(14, 66)(15, 67)(16, 78)(17, 88)(18, 87)(19, 65)(20, 73)(21, 89)(22, 86)(23, 90)(24, 68)(25, 69)(26, 76)(27, 74)(28, 79)(29, 82)(30, 77)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.429
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (Y3 * Y2)^2, Y3^-3 * Y1^-1, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 5, 35)(3, 33, 6, 36, 10, 40, 23, 53, 13, 43)(4, 34, 9, 39, 22, 52, 28, 58, 17, 47)(7, 37, 11, 41, 24, 54, 30, 60, 16, 46)(12, 42, 20, 50, 26, 56, 29, 59, 21, 51)(14, 44, 15, 45, 18, 48, 25, 55, 27, 57)(61, 91, 63, 93, 65, 95, 73, 103, 79, 109, 83, 113, 68, 98, 70, 100, 62, 92, 66, 96)(64, 94, 75, 105, 77, 107, 74, 104, 88, 118, 87, 117, 82, 112, 85, 115, 69, 99, 78, 108)(67, 97, 81, 111, 76, 106, 89, 119, 90, 120, 86, 116, 84, 114, 80, 110, 71, 101, 72, 102)
	L = (1, 64)(2, 69)(3, 72)(4, 76)(5, 77)(6, 80)(7, 61)(8, 82)(9, 67)(10, 86)(11, 62)(12, 87)(13, 81)(14, 63)(15, 66)(16, 65)(17, 90)(18, 70)(19, 88)(20, 74)(21, 85)(22, 71)(23, 89)(24, 68)(25, 83)(26, 75)(27, 73)(28, 84)(29, 78)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.430
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, Y3^-2 * Y1 * Y3^-1, Y2^2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^3, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^2 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^15 ]
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, 25, 55, 29, 59, 16, 46)(7, 37, 12, 42, 26, 56, 30, 60, 20, 50)(13, 43, 23, 53, 28, 58, 21, 51, 24, 54)(14, 44, 27, 57, 17, 47, 22, 52, 15, 45)(61, 91, 63, 93, 68, 98, 79, 109, 65, 95, 71, 101, 62, 92, 69, 99, 78, 108, 66, 96)(64, 94, 75, 105, 85, 115, 87, 117, 76, 106, 82, 112, 70, 100, 74, 104, 89, 119, 77, 107)(67, 97, 83, 113, 86, 116, 81, 111, 80, 110, 73, 103, 72, 102, 88, 118, 90, 120, 84, 114)
	L = (1, 64)(2, 70)(3, 73)(4, 72)(5, 76)(6, 81)(7, 61)(8, 85)(9, 83)(10, 86)(11, 84)(12, 62)(13, 87)(14, 63)(15, 71)(16, 67)(17, 79)(18, 89)(19, 88)(20, 65)(21, 75)(22, 66)(23, 77)(24, 74)(25, 90)(26, 68)(27, 69)(28, 82)(29, 80)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.428
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y3 * Y1 * Y3^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-4, Y3^-1 * Y2 * R * Y2^-1 * R, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1^5, (Y2 * Y1^-1 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 15, 45)(4, 34, 10, 40, 25, 55, 29, 59, 19, 49)(7, 37, 12, 42, 26, 56, 30, 60, 18, 48)(14, 44, 24, 54, 21, 51, 28, 58, 23, 53)(16, 46, 17, 47, 22, 52, 20, 50, 27, 57)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 68, 98, 66, 96)(64, 94, 77, 107, 89, 119, 87, 117, 70, 100, 82, 112, 79, 109, 76, 106, 85, 115, 80, 110)(67, 97, 83, 113, 90, 120, 81, 111, 72, 102, 74, 104, 78, 108, 88, 118, 86, 116, 84, 114)
	L = (1, 64)(2, 70)(3, 74)(4, 78)(5, 79)(6, 81)(7, 61)(8, 85)(9, 84)(10, 67)(11, 88)(12, 62)(13, 89)(14, 87)(15, 83)(16, 63)(17, 69)(18, 65)(19, 90)(20, 71)(21, 77)(22, 66)(23, 80)(24, 76)(25, 72)(26, 68)(27, 75)(28, 82)(29, 86)(30, 73)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.431
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y3)^2, Y3^3 * Y1^2, R * Y3^-1 * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1, Y1^5, Y1^-2 * Y3^2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 9, 39, 26, 56, 19, 49, 6, 36)(4, 34, 10, 40, 25, 55, 30, 60, 16, 46)(7, 37, 11, 41, 27, 57, 15, 45, 20, 50)(12, 42, 28, 58, 24, 54, 23, 53, 21, 51)(13, 43, 17, 47, 14, 44, 29, 59, 22, 52)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 86, 116, 78, 108, 79, 109, 65, 95, 66, 96)(64, 94, 74, 104, 70, 100, 89, 119, 85, 115, 82, 112, 90, 120, 73, 103, 76, 106, 77, 107)(67, 97, 83, 113, 71, 101, 81, 111, 87, 117, 72, 102, 75, 105, 88, 118, 80, 110, 84, 114)
	L = (1, 64)(2, 70)(3, 72)(4, 75)(5, 76)(6, 81)(7, 61)(8, 85)(9, 88)(10, 80)(11, 62)(12, 89)(13, 63)(14, 86)(15, 78)(16, 87)(17, 69)(18, 90)(19, 83)(20, 65)(21, 74)(22, 66)(23, 77)(24, 73)(25, 67)(26, 84)(27, 68)(28, 82)(29, 79)(30, 71)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.433
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-3, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-2, (R * Y1)^2, (Y1, Y3^-1), Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, R * Y2 * Y3 * R * Y2^-1, Y2^-2 * Y1^-1 * Y2^-2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 5, 35)(3, 33, 9, 39, 20, 50, 6, 36, 11, 41)(4, 34, 10, 40, 25, 55, 30, 60, 17, 47)(7, 37, 12, 42, 26, 56, 29, 59, 16, 46)(13, 43, 27, 57, 24, 54, 21, 51, 23, 53)(14, 44, 15, 45, 28, 58, 22, 52, 18, 48)(61, 91, 63, 93, 68, 98, 80, 110, 65, 95, 71, 101, 62, 92, 69, 99, 79, 109, 66, 96)(64, 94, 75, 105, 85, 115, 82, 112, 77, 107, 74, 104, 70, 100, 88, 118, 90, 120, 78, 108)(67, 97, 83, 113, 86, 116, 87, 117, 76, 106, 81, 111, 72, 102, 73, 103, 89, 119, 84, 114)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 81)(7, 61)(8, 85)(9, 87)(10, 67)(11, 83)(12, 62)(13, 78)(14, 63)(15, 69)(16, 65)(17, 89)(18, 71)(19, 90)(20, 84)(21, 88)(22, 66)(23, 82)(24, 75)(25, 72)(26, 68)(27, 74)(28, 80)(29, 79)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.432
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y3^2 * Y1^-1 * Y3, (Y2^-1 * Y1^-1)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-4, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3, Y1^5, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 15, 45)(4, 34, 10, 40, 25, 55, 29, 59, 18, 48)(7, 37, 12, 42, 26, 56, 30, 60, 20, 50)(14, 44, 23, 53, 21, 51, 24, 54, 28, 58)(16, 46, 19, 49, 22, 52, 27, 57, 17, 47)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 68, 98, 66, 96)(64, 94, 77, 107, 89, 119, 82, 112, 70, 100, 76, 106, 78, 108, 87, 117, 85, 115, 79, 109)(67, 97, 83, 113, 90, 120, 88, 118, 72, 102, 81, 111, 80, 110, 74, 104, 86, 116, 84, 114)
	L = (1, 64)(2, 70)(3, 74)(4, 72)(5, 78)(6, 81)(7, 61)(8, 85)(9, 83)(10, 86)(11, 84)(12, 62)(13, 89)(14, 79)(15, 88)(16, 63)(17, 75)(18, 67)(19, 69)(20, 65)(21, 87)(22, 66)(23, 82)(24, 77)(25, 90)(26, 68)(27, 71)(28, 76)(29, 80)(30, 73)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.427
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-1, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^3 * Y1^2, Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3^2 * Y2 * Y3^-1, Y1^5, R * Y2 * Y3 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 5, 35)(3, 33, 6, 36, 10, 40, 26, 56, 13, 43)(4, 34, 9, 39, 25, 55, 30, 60, 17, 47)(7, 37, 11, 41, 27, 57, 16, 46, 20, 50)(12, 42, 21, 51, 29, 59, 23, 53, 24, 54)(14, 44, 22, 52, 15, 45, 18, 48, 28, 58)(61, 91, 63, 93, 65, 95, 73, 103, 79, 109, 86, 116, 68, 98, 70, 100, 62, 92, 66, 96)(64, 94, 75, 105, 77, 107, 82, 112, 90, 120, 74, 104, 85, 115, 88, 118, 69, 99, 78, 108)(67, 97, 83, 113, 80, 110, 89, 119, 76, 106, 81, 111, 87, 117, 72, 102, 71, 101, 84, 114)
	L = (1, 64)(2, 69)(3, 72)(4, 76)(5, 77)(6, 81)(7, 61)(8, 85)(9, 80)(10, 89)(11, 62)(12, 78)(13, 84)(14, 63)(15, 70)(16, 79)(17, 87)(18, 86)(19, 90)(20, 65)(21, 88)(22, 66)(23, 82)(24, 75)(25, 67)(26, 83)(27, 68)(28, 73)(29, 74)(30, 71)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.435
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 10^6, 20^3 ]

E24.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y3 * R)^2, (R * Y1)^2, Y1 * Y3 * Y1^-1 * Y3, Y1^-5 * Y3, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 21, 51, 16, 46, 4, 34, 9, 39, 22, 52, 12, 42, 5, 35)(3, 33, 11, 41, 6, 36, 19, 49, 23, 53, 13, 43, 27, 57, 20, 50, 28, 58, 14, 44)(8, 38, 24, 54, 10, 40, 29, 59, 15, 45, 25, 55, 17, 47, 30, 60, 18, 48, 26, 56)(61, 91, 63, 93, 72, 102, 88, 118, 69, 99, 87, 117, 76, 106, 83, 113, 67, 97, 66, 96)(62, 92, 68, 98, 65, 95, 78, 108, 82, 112, 77, 107, 64, 94, 75, 105, 81, 111, 70, 100)(71, 101, 86, 116, 74, 104, 90, 120, 80, 110, 85, 115, 73, 103, 89, 119, 79, 109, 84, 114)
	L = (1, 64)(2, 69)(3, 73)(4, 61)(5, 76)(6, 80)(7, 82)(8, 85)(9, 62)(10, 90)(11, 87)(12, 81)(13, 63)(14, 83)(15, 86)(16, 65)(17, 84)(18, 89)(19, 88)(20, 66)(21, 72)(22, 67)(23, 74)(24, 77)(25, 68)(26, 75)(27, 71)(28, 79)(29, 78)(30, 70)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.418
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3 * Y1, Y2^2 * Y3 * Y1, (R * Y3)^2, Y1^-1 * Y2^-2 * Y3, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, Y1^-5 * Y3, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * R * Y2 * Y1 * R * Y2^-1, (Y2^-1 * Y1^2)^2, Y1 * 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 12, 42, 4, 34, 9, 39, 21, 51, 17, 47, 5, 35)(3, 33, 11, 41, 20, 50, 30, 60, 28, 58, 13, 43, 6, 36, 18, 48, 22, 52, 14, 44)(8, 38, 23, 53, 29, 59, 27, 57, 15, 45, 24, 54, 10, 40, 26, 56, 16, 46, 25, 55)(61, 91, 63, 93, 72, 102, 88, 118, 77, 107, 82, 112, 67, 97, 80, 110, 69, 99, 66, 96)(62, 92, 68, 98, 64, 94, 75, 105, 65, 95, 76, 106, 79, 109, 89, 119, 81, 111, 70, 100)(71, 101, 86, 116, 73, 103, 83, 113, 74, 104, 84, 114, 90, 120, 85, 115, 78, 108, 87, 117)
	L = (1, 64)(2, 69)(3, 73)(4, 61)(5, 72)(6, 71)(7, 81)(8, 84)(9, 62)(10, 83)(11, 66)(12, 65)(13, 63)(14, 88)(15, 85)(16, 87)(17, 79)(18, 80)(19, 77)(20, 78)(21, 67)(22, 90)(23, 70)(24, 68)(25, 75)(26, 89)(27, 76)(28, 74)(29, 86)(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, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.419
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3 * Y2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^-5 * Y3, R * Y1^-1 * Y2^-1 * Y1 * R * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y1^-2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1, (Y1^-2 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y1^-1 * R)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 14, 44, 4, 34, 9, 39, 21, 51, 16, 46, 5, 35)(3, 33, 11, 41, 20, 50, 18, 48, 6, 36, 12, 42, 22, 52, 30, 60, 28, 58, 13, 43)(8, 38, 23, 53, 17, 47, 26, 56, 10, 40, 24, 54, 29, 59, 27, 57, 15, 45, 25, 55)(61, 91, 63, 93, 69, 99, 82, 112, 67, 97, 80, 110, 76, 106, 88, 118, 74, 104, 66, 96)(62, 92, 68, 98, 81, 111, 89, 119, 79, 109, 77, 107, 65, 95, 75, 105, 64, 94, 70, 100)(71, 101, 86, 116, 90, 120, 85, 115, 78, 108, 84, 114, 73, 103, 83, 113, 72, 102, 87, 117)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 74)(6, 73)(7, 81)(8, 84)(9, 62)(10, 85)(11, 82)(12, 63)(13, 66)(14, 65)(15, 86)(16, 79)(17, 87)(18, 88)(19, 76)(20, 90)(21, 67)(22, 71)(23, 89)(24, 68)(25, 70)(26, 75)(27, 77)(28, 78)(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) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.420
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1^-2, R * Y2^-1 * Y1^-1 * Y2^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, R * Y1^-1 * Y2 * Y1 * R * Y2, Y2^-2 * Y1^8, Y1^-2 * Y2^8, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 28, 58, 25, 55, 20, 50, 10, 40, 4, 34)(3, 33, 9, 39, 5, 35, 13, 43, 15, 45, 24, 54, 29, 59, 26, 56, 19, 49, 11, 41)(7, 37, 16, 46, 8, 38, 18, 48, 23, 53, 30, 60, 27, 57, 21, 51, 12, 42, 17, 47)(61, 91, 63, 93, 70, 100, 79, 109, 85, 115, 89, 119, 82, 112, 75, 105, 66, 96, 65, 95)(62, 92, 67, 97, 64, 94, 72, 102, 80, 110, 87, 117, 88, 118, 83, 113, 74, 104, 68, 98)(69, 99, 77, 107, 71, 101, 81, 111, 86, 116, 90, 120, 84, 114, 78, 108, 73, 103, 76, 106)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 73)(6, 74)(7, 76)(8, 78)(9, 65)(10, 64)(11, 63)(12, 77)(13, 75)(14, 82)(15, 84)(16, 68)(17, 67)(18, 83)(19, 71)(20, 70)(21, 72)(22, 88)(23, 90)(24, 89)(25, 80)(26, 79)(27, 81)(28, 85)(29, 86)(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, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.421
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^2, Y1 * Y3^-1 * Y1^2, Y1 * Y2^-2 * Y3, Y3^-3 * Y1^-1, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-2 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2 * Y1^-2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 23, 53, 18, 48, 7, 37, 12, 42, 5, 35)(3, 33, 13, 43, 22, 52, 14, 44, 29, 59, 21, 51, 6, 36, 16, 46, 24, 54, 15, 45)(9, 39, 25, 55, 17, 47, 26, 56, 20, 50, 30, 60, 11, 41, 28, 58, 19, 49, 27, 57)(61, 91, 63, 93, 70, 100, 89, 119, 72, 102, 84, 114, 68, 98, 82, 112, 78, 108, 66, 96)(62, 92, 69, 99, 83, 113, 80, 110, 65, 95, 79, 109, 64, 94, 77, 107, 67, 97, 71, 101)(73, 103, 88, 118, 81, 111, 85, 115, 75, 105, 90, 120, 74, 104, 87, 117, 76, 106, 86, 116)
	L = (1, 64)(2, 70)(3, 74)(4, 78)(5, 68)(6, 75)(7, 61)(8, 83)(9, 86)(10, 67)(11, 87)(12, 62)(13, 89)(14, 66)(15, 82)(16, 63)(17, 90)(18, 65)(19, 85)(20, 88)(21, 84)(22, 81)(23, 72)(24, 73)(25, 80)(26, 71)(27, 77)(28, 69)(29, 76)(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) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.422
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y2 * Y3, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y2^-2, Y2^5, Y3 * Y2 * Y1^2 * Y3 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 11, 41, 23, 53, 19, 49, 6, 36, 10, 40, 13, 43, 3, 33, 8, 38, 21, 51, 20, 50, 18, 48, 5, 35)(4, 34, 14, 44, 27, 57, 28, 58, 17, 47, 24, 54, 16, 46, 22, 52, 29, 59, 12, 42, 26, 56, 9, 39, 25, 55, 30, 60, 15, 45)(61, 91, 63, 93, 71, 101, 80, 110, 66, 96)(62, 92, 68, 98, 83, 113, 78, 108, 70, 100)(64, 94, 72, 102, 88, 118, 85, 115, 76, 106)(65, 95, 73, 103, 67, 97, 81, 111, 79, 109)(69, 99, 84, 114, 75, 105, 89, 119, 87, 117)(74, 104, 86, 116, 77, 107, 90, 120, 82, 112)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 77)(6, 76)(7, 82)(8, 84)(9, 62)(10, 87)(11, 88)(12, 63)(13, 90)(14, 81)(15, 83)(16, 66)(17, 65)(18, 89)(19, 86)(20, 85)(21, 74)(22, 67)(23, 75)(24, 68)(25, 80)(26, 79)(27, 70)(28, 71)(29, 78)(30, 73)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.413
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^3, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3, Y2^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 3, 33, 8, 38, 19, 49, 11, 41, 21, 51, 30, 60, 18, 48, 24, 54, 17, 47, 6, 36, 10, 40, 5, 35)(4, 34, 13, 43, 26, 56, 12, 42, 16, 46, 29, 59, 25, 55, 20, 50, 23, 53, 28, 58, 22, 52, 9, 39, 15, 45, 27, 57, 14, 44)(61, 91, 63, 93, 71, 101, 78, 108, 66, 96)(62, 92, 68, 98, 81, 111, 84, 114, 70, 100)(64, 94, 72, 102, 85, 115, 88, 118, 75, 105)(65, 95, 67, 97, 79, 109, 90, 120, 77, 107)(69, 99, 74, 104, 86, 116, 89, 119, 83, 113)(73, 103, 76, 106, 80, 110, 82, 112, 87, 117)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 76)(6, 75)(7, 80)(8, 74)(9, 62)(10, 83)(11, 85)(12, 63)(13, 77)(14, 68)(15, 66)(16, 65)(17, 73)(18, 88)(19, 82)(20, 67)(21, 86)(22, 79)(23, 70)(24, 89)(25, 71)(26, 81)(27, 90)(28, 78)(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) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.414
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (Y1, Y2^-1), Y1 * Y3 * Y1 * Y2^-1 * Y3, Y2^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 6, 36, 10, 40, 20, 50, 18, 48, 24, 54, 26, 56, 11, 41, 21, 51, 13, 43, 3, 33, 8, 38, 5, 35)(4, 34, 14, 44, 28, 58, 16, 46, 17, 47, 30, 60, 29, 59, 19, 49, 22, 52, 25, 55, 23, 53, 9, 39, 12, 42, 27, 57, 15, 45)(61, 91, 63, 93, 71, 101, 78, 108, 66, 96)(62, 92, 68, 98, 81, 111, 84, 114, 70, 100)(64, 94, 72, 102, 85, 115, 89, 119, 76, 106)(65, 95, 73, 103, 86, 116, 80, 110, 67, 97)(69, 99, 82, 112, 90, 120, 88, 118, 75, 105)(74, 104, 87, 117, 83, 113, 79, 109, 77, 107)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 77)(6, 76)(7, 79)(8, 82)(9, 62)(10, 75)(11, 85)(12, 63)(13, 74)(14, 73)(15, 70)(16, 66)(17, 65)(18, 89)(19, 67)(20, 83)(21, 90)(22, 68)(23, 80)(24, 88)(25, 71)(26, 87)(27, 86)(28, 84)(29, 78)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.415
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3^-1)^2, (Y3^-1, Y2^-1), Y3^2 * Y2^2, (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3 * Y1^-1)^2, Y3^-4 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y3, Y2^-2 * Y1^3, Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 13, 43, 27, 57, 22, 52, 6, 36, 11, 41, 15, 45, 3, 33, 9, 39, 25, 55, 18, 48, 21, 51, 5, 35)(4, 34, 17, 47, 24, 54, 7, 37, 20, 50, 28, 58, 19, 49, 23, 53, 29, 59, 14, 44, 26, 56, 10, 40, 16, 46, 30, 60, 12, 42)(61, 91, 63, 93, 73, 103, 78, 108, 66, 96)(62, 92, 69, 99, 87, 117, 81, 111, 71, 101)(64, 94, 74, 104, 67, 97, 76, 106, 79, 109)(65, 95, 75, 105, 68, 98, 85, 115, 82, 112)(70, 100, 88, 118, 72, 102, 89, 119, 84, 114)(77, 107, 86, 116, 80, 110, 90, 120, 83, 113)
	L = (1, 64)(2, 70)(3, 74)(4, 78)(5, 80)(6, 79)(7, 61)(8, 83)(9, 88)(10, 81)(11, 84)(12, 62)(13, 67)(14, 66)(15, 90)(16, 63)(17, 75)(18, 76)(19, 73)(20, 85)(21, 89)(22, 86)(23, 65)(24, 87)(25, 77)(26, 68)(27, 72)(28, 71)(29, 69)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.416
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2, (Y2^-1, Y1), (R * Y3)^2, (R * Y2^-1)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2, Y2^-2 * Y1^-3, Y3 * Y1 * Y3 * Y1^-2, Y2^5, Y1^-1 * Y2^2 * Y1^-2 * Y2, (Y1^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 30, 60, 15, 45, 3, 33, 9, 39, 20, 50, 6, 36, 11, 41, 27, 57, 13, 43, 19, 49, 5, 35)(4, 34, 16, 46, 28, 58, 23, 53, 18, 48, 12, 42, 14, 44, 26, 56, 25, 55, 7, 37, 24, 54, 10, 40, 29, 59, 21, 51, 17, 47)(61, 91, 63, 93, 73, 103, 82, 112, 66, 96)(62, 92, 69, 99, 79, 109, 90, 120, 71, 101)(64, 94, 74, 104, 89, 119, 83, 113, 67, 97)(65, 95, 75, 105, 87, 117, 68, 98, 80, 110)(70, 100, 88, 118, 85, 115, 77, 107, 72, 102)(76, 106, 86, 116, 81, 111, 78, 108, 84, 114)
	L = (1, 64)(2, 70)(3, 74)(4, 63)(5, 78)(6, 67)(7, 61)(8, 86)(9, 88)(10, 69)(11, 72)(12, 62)(13, 89)(14, 73)(15, 84)(16, 68)(17, 71)(18, 75)(19, 85)(20, 81)(21, 65)(22, 83)(23, 66)(24, 87)(25, 90)(26, 80)(27, 76)(28, 79)(29, 82)(30, 77)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.417
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3 * Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), (Y2^-1 * Y1)^2, Y2 * Y3 * Y2 * Y1^-2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2^-1, Y1^2 * Y2^3, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 18, 48, 30, 60, 16, 46, 29, 59, 21, 51, 5, 35)(3, 33, 13, 43, 24, 54, 17, 47, 4, 34, 12, 42, 27, 57, 22, 52, 25, 55, 11, 41)(6, 36, 19, 49, 15, 45, 9, 39, 28, 58, 20, 50, 7, 37, 10, 40, 14, 44, 23, 53)(61, 91, 63, 93, 74, 104, 81, 111, 85, 115, 67, 97, 76, 106, 87, 117, 88, 118, 78, 108, 64, 94, 75, 105, 68, 98, 84, 114, 66, 96)(62, 92, 69, 99, 82, 112, 65, 95, 79, 109, 72, 102, 89, 119, 83, 113, 77, 107, 90, 120, 70, 100, 73, 103, 86, 116, 80, 110, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 67)(5, 80)(6, 78)(7, 61)(8, 87)(9, 73)(10, 72)(11, 90)(12, 62)(13, 89)(14, 68)(15, 76)(16, 63)(17, 65)(18, 85)(19, 71)(20, 77)(21, 84)(22, 86)(23, 82)(24, 88)(25, 66)(26, 83)(27, 74)(28, 81)(29, 69)(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) :: { ( 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 E24.400
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^3 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 17, 47, 28, 58, 19, 49, 29, 59, 22, 52, 5, 35)(3, 33, 13, 43, 25, 55, 11, 41, 30, 60, 18, 48, 4, 34, 12, 42, 24, 54, 16, 46)(6, 36, 23, 53, 14, 44, 21, 51, 7, 37, 10, 40, 27, 57, 20, 50, 15, 45, 9, 39)(61, 91, 63, 93, 74, 104, 68, 98, 85, 115, 67, 97, 77, 107, 90, 120, 87, 117, 79, 109, 64, 94, 75, 105, 82, 112, 84, 114, 66, 96)(62, 92, 69, 99, 78, 108, 86, 116, 83, 113, 72, 102, 88, 118, 81, 111, 76, 106, 89, 119, 70, 100, 73, 103, 65, 95, 80, 110, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 67)(5, 81)(6, 79)(7, 61)(8, 84)(9, 73)(10, 72)(11, 89)(12, 62)(13, 88)(14, 82)(15, 77)(16, 86)(17, 63)(18, 65)(19, 85)(20, 76)(21, 78)(22, 90)(23, 71)(24, 87)(25, 66)(26, 80)(27, 68)(28, 69)(29, 83)(30, 74)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 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 E24.401
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3, Y2^-1), Y1 * Y3 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-5, (Y1^-1 * Y2^-2)^2, (Y3^-1 * Y2)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 28, 58, 25, 55, 27, 57, 29, 59, 16, 46, 5, 35)(3, 33, 13, 43, 23, 53, 24, 54, 20, 50, 18, 48, 21, 51, 11, 41, 4, 34, 12, 42)(6, 36, 17, 47, 7, 37, 10, 40, 15, 45, 9, 39, 14, 44, 26, 56, 30, 60, 19, 49)(61, 91, 63, 93, 74, 104, 87, 117, 81, 111, 67, 97, 68, 98, 83, 113, 90, 120, 76, 106, 64, 94, 75, 105, 88, 118, 80, 110, 66, 96)(62, 92, 69, 99, 84, 114, 89, 119, 77, 107, 72, 102, 82, 112, 86, 116, 78, 108, 65, 95, 70, 100, 73, 103, 85, 115, 79, 109, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 67)(5, 77)(6, 76)(7, 61)(8, 63)(9, 73)(10, 72)(11, 65)(12, 62)(13, 82)(14, 88)(15, 68)(16, 81)(17, 71)(18, 89)(19, 78)(20, 90)(21, 66)(22, 69)(23, 74)(24, 85)(25, 86)(26, 84)(27, 80)(28, 83)(29, 79)(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, 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 E24.402
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y2), Y1^-1 * Y3 * Y1 * Y3, Y1^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y1^2 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2^-1, (Y2^2 * Y1^-1)^2, Y3^-1 * Y2^-5, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 26, 56, 29, 59, 27, 57, 25, 55, 17, 47, 5, 35)(3, 33, 13, 43, 4, 34, 12, 42, 21, 51, 11, 41, 20, 50, 30, 60, 28, 58, 16, 46)(6, 36, 19, 49, 23, 53, 24, 54, 14, 44, 18, 48, 15, 45, 9, 39, 7, 37, 10, 40)(61, 91, 63, 93, 74, 104, 86, 116, 81, 111, 67, 97, 77, 107, 88, 118, 83, 113, 68, 98, 64, 94, 75, 105, 87, 117, 80, 110, 66, 96)(62, 92, 69, 99, 76, 106, 89, 119, 79, 109, 72, 102, 65, 95, 78, 108, 90, 120, 82, 112, 70, 100, 73, 103, 85, 115, 84, 114, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 67)(5, 69)(6, 68)(7, 61)(8, 81)(9, 73)(10, 72)(11, 82)(12, 62)(13, 65)(14, 87)(15, 77)(16, 85)(17, 63)(18, 76)(19, 71)(20, 83)(21, 66)(22, 79)(23, 86)(24, 90)(25, 78)(26, 80)(27, 88)(28, 74)(29, 84)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 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 E24.403
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1^2, Y2 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, Y1 * Y2 * Y1^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-3, Y2^-2 * Y1^2 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-2 * 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 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 27, 57, 30, 60, 28, 58, 29, 59, 16, 46, 5, 35)(3, 33, 12, 42, 4, 34, 11, 41, 21, 51, 23, 53, 20, 50, 24, 54, 19, 49, 15, 45)(6, 36, 10, 40, 13, 43, 26, 56, 14, 44, 25, 55, 17, 47, 18, 48, 7, 37, 9, 39)(61, 91, 63, 93, 73, 103, 68, 98, 64, 94, 74, 104, 87, 117, 81, 111, 77, 107, 88, 118, 80, 110, 67, 97, 76, 106, 79, 109, 66, 96)(62, 92, 69, 99, 83, 113, 82, 112, 70, 100, 84, 114, 90, 120, 86, 116, 75, 105, 89, 119, 85, 115, 72, 102, 65, 95, 78, 108, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 69)(6, 68)(7, 61)(8, 81)(9, 84)(10, 75)(11, 82)(12, 62)(13, 87)(14, 88)(15, 65)(16, 63)(17, 76)(18, 83)(19, 73)(20, 66)(21, 67)(22, 86)(23, 90)(24, 89)(25, 71)(26, 72)(27, 80)(28, 79)(29, 78)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E24.411
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y3^-1 * Y1^-1, (Y2, Y3^-1), Y3 * Y2^-1 * Y3^3, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1, Y3 * Y1^2 * Y3 * Y2, Y3^-1 * Y2^4, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^10, (Y1^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 16, 46, 28, 58, 19, 49, 29, 59, 22, 52, 5, 35)(3, 33, 12, 42, 25, 55, 27, 57, 23, 53, 18, 48, 4, 34, 11, 41, 24, 54, 15, 45)(6, 36, 10, 40, 14, 44, 20, 50, 7, 37, 9, 39, 13, 43, 30, 60, 17, 47, 21, 51)(61, 91, 63, 93, 73, 103, 79, 109, 64, 94, 74, 104, 68, 98, 85, 115, 77, 107, 82, 112, 84, 114, 67, 97, 76, 106, 83, 113, 66, 96)(62, 92, 69, 99, 87, 117, 89, 119, 70, 100, 75, 105, 86, 116, 90, 120, 78, 108, 65, 95, 80, 110, 72, 102, 88, 118, 81, 111, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 81)(6, 79)(7, 61)(8, 84)(9, 75)(10, 78)(11, 89)(12, 62)(13, 68)(14, 82)(15, 65)(16, 63)(17, 76)(18, 88)(19, 85)(20, 71)(21, 87)(22, 83)(23, 73)(24, 66)(25, 67)(26, 80)(27, 86)(28, 69)(29, 90)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 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 E24.407
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y3 * Y1, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y1)^2, Y2^-1 * Y3^4, Y1 * Y2^2 * Y1 * Y2^-1, Y3^-1 * Y2^4, Y2 * Y3^2 * Y1^-2, (Y3^-1 * Y2 * Y1^-1)^2, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 19, 49, 29, 59, 16, 46, 27, 57, 22, 52, 5, 35)(3, 33, 12, 42, 24, 54, 18, 48, 4, 34, 11, 41, 23, 53, 28, 58, 25, 55, 15, 45)(6, 36, 10, 40, 17, 47, 30, 60, 13, 43, 20, 50, 7, 37, 9, 39, 14, 44, 21, 51)(61, 91, 63, 93, 73, 103, 79, 109, 64, 94, 74, 104, 82, 112, 85, 115, 77, 107, 68, 98, 84, 114, 67, 97, 76, 106, 83, 113, 66, 96)(62, 92, 69, 99, 75, 105, 89, 119, 70, 100, 78, 108, 65, 95, 80, 110, 88, 118, 86, 116, 81, 111, 72, 102, 87, 117, 90, 120, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 81)(6, 79)(7, 61)(8, 83)(9, 78)(10, 88)(11, 89)(12, 62)(13, 82)(14, 68)(15, 65)(16, 63)(17, 76)(18, 86)(19, 85)(20, 72)(21, 71)(22, 84)(23, 73)(24, 66)(25, 67)(26, 90)(27, 69)(28, 87)(29, 80)(30, 75)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E24.405
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^2 * Y2^3, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2^-2 * Y3 * Y1^-2, Y1^10, (Y3^-1 * Y2)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 15, 45, 28, 58, 18, 48, 29, 59, 21, 51, 5, 35)(3, 33, 13, 43, 22, 52, 12, 42, 30, 60, 17, 47, 4, 34, 16, 46, 25, 55, 11, 41)(6, 36, 19, 49, 26, 56, 9, 39, 7, 37, 23, 53, 27, 57, 20, 50, 14, 44, 10, 40)(61, 91, 63, 93, 74, 104, 81, 111, 85, 115, 87, 117, 78, 108, 64, 94, 67, 97, 75, 105, 90, 120, 86, 116, 68, 98, 82, 112, 66, 96)(62, 92, 69, 99, 76, 106, 65, 95, 79, 109, 77, 107, 89, 119, 70, 100, 72, 102, 88, 118, 80, 110, 73, 103, 84, 114, 83, 113, 71, 101)
	L = (1, 64)(2, 70)(3, 67)(4, 66)(5, 80)(6, 78)(7, 61)(8, 85)(9, 72)(10, 71)(11, 89)(12, 62)(13, 65)(14, 75)(15, 63)(16, 88)(17, 84)(18, 82)(19, 73)(20, 76)(21, 90)(22, 87)(23, 77)(24, 79)(25, 86)(26, 81)(27, 68)(28, 69)(29, 83)(30, 74)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 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 E24.406
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, Y2^2 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1^-3, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1, (Y3^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 17, 47, 30, 60, 15, 45, 28, 58, 20, 50, 5, 35)(3, 33, 13, 43, 25, 55, 11, 41, 4, 34, 16, 46, 26, 56, 21, 51, 22, 52, 12, 42)(6, 36, 19, 49, 14, 44, 10, 40, 29, 59, 23, 53, 7, 37, 18, 48, 27, 57, 9, 39)(61, 91, 63, 93, 74, 104, 68, 98, 85, 115, 89, 119, 77, 107, 64, 94, 67, 97, 75, 105, 86, 116, 87, 117, 80, 110, 82, 112, 66, 96)(62, 92, 69, 99, 76, 106, 84, 114, 79, 109, 81, 111, 90, 120, 70, 100, 72, 102, 88, 118, 83, 113, 73, 103, 65, 95, 78, 108, 71, 101)
	L = (1, 64)(2, 70)(3, 67)(4, 66)(5, 79)(6, 77)(7, 61)(8, 86)(9, 72)(10, 71)(11, 90)(12, 62)(13, 84)(14, 75)(15, 63)(16, 88)(17, 82)(18, 81)(19, 73)(20, 85)(21, 65)(22, 89)(23, 76)(24, 83)(25, 87)(26, 74)(27, 68)(28, 69)(29, 80)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E24.408
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y3^-1, (Y1^-1 * Y3)^2, Y2 * Y1^-2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^2 * Y3 * Y2^-1, (R * Y3)^2, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1, (Y2 * Y3^-1)^5, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2 * Y1^-1, Y2^15, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 29, 59, 28, 58, 30, 60, 27, 57, 16, 46, 5, 35)(3, 33, 13, 43, 23, 53, 18, 48, 26, 56, 11, 41, 21, 51, 12, 42, 4, 34, 15, 45)(6, 36, 19, 49, 7, 37, 17, 47, 14, 44, 10, 40, 25, 55, 9, 39, 24, 54, 20, 50)(61, 91, 63, 93, 74, 104, 89, 119, 86, 116, 84, 114, 76, 106, 64, 94, 67, 97, 68, 98, 83, 113, 85, 115, 90, 120, 81, 111, 66, 96)(62, 92, 69, 99, 75, 105, 88, 118, 79, 109, 78, 108, 65, 95, 70, 100, 72, 102, 82, 112, 80, 110, 73, 103, 87, 117, 77, 107, 71, 101)
	L = (1, 64)(2, 70)(3, 67)(4, 66)(5, 77)(6, 76)(7, 61)(8, 63)(9, 72)(10, 71)(11, 65)(12, 62)(13, 88)(14, 68)(15, 82)(16, 81)(17, 78)(18, 87)(19, 73)(20, 75)(21, 84)(22, 69)(23, 74)(24, 90)(25, 89)(26, 85)(27, 79)(28, 80)(29, 83)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E24.410
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y1 * Y3^-1 * Y2 * Y1, (R * Y3)^2, (Y1 * Y2^-1)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3^-2 * Y1^-1 * Y2, Y3 * Y2^-2 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y3, (Y2^-1 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 29, 59, 27, 57, 30, 60, 28, 58, 14, 44, 5, 35)(3, 33, 13, 43, 4, 34, 15, 45, 23, 53, 18, 48, 26, 56, 12, 42, 21, 51, 11, 41)(6, 36, 17, 47, 16, 46, 9, 39, 24, 54, 10, 40, 25, 55, 20, 50, 7, 37, 19, 49)(61, 91, 63, 93, 67, 97, 74, 104, 81, 111, 85, 115, 90, 120, 86, 116, 84, 114, 89, 119, 83, 113, 76, 106, 68, 98, 64, 94, 66, 96)(62, 92, 69, 99, 72, 102, 65, 95, 77, 107, 78, 108, 88, 118, 79, 109, 75, 105, 87, 117, 80, 110, 73, 103, 82, 112, 70, 100, 71, 101)
	L = (1, 64)(2, 70)(3, 66)(4, 76)(5, 69)(6, 68)(7, 61)(8, 83)(9, 71)(10, 73)(11, 82)(12, 62)(13, 87)(14, 63)(15, 88)(16, 89)(17, 72)(18, 65)(19, 78)(20, 75)(21, 67)(22, 80)(23, 84)(24, 90)(25, 74)(26, 85)(27, 79)(28, 77)(29, 86)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E24.409
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, Y1^2 * Y2^-1 * Y3, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y1 * Y2, Y2^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y2)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 30, 60, 28, 58, 29, 59, 27, 57, 17, 47, 5, 35)(3, 33, 13, 43, 21, 51, 11, 41, 25, 55, 12, 42, 26, 56, 16, 46, 4, 34, 14, 44)(6, 36, 19, 49, 7, 37, 20, 50, 23, 53, 18, 48, 24, 54, 10, 40, 15, 45, 9, 39)(61, 91, 63, 93, 67, 97, 68, 98, 81, 111, 83, 113, 90, 120, 85, 115, 84, 114, 89, 119, 86, 116, 75, 105, 77, 107, 64, 94, 66, 96)(62, 92, 69, 99, 72, 102, 82, 112, 79, 109, 76, 106, 88, 118, 80, 110, 74, 104, 87, 117, 78, 108, 73, 103, 65, 95, 70, 100, 71, 101)
	L = (1, 64)(2, 70)(3, 66)(4, 75)(5, 78)(6, 77)(7, 61)(8, 63)(9, 71)(10, 73)(11, 65)(12, 62)(13, 87)(14, 88)(15, 89)(16, 82)(17, 86)(18, 74)(19, 72)(20, 76)(21, 67)(22, 69)(23, 68)(24, 90)(25, 83)(26, 84)(27, 80)(28, 79)(29, 85)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 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 E24.404
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y1, (R * Y3)^2, Y3^-2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y1^3 * Y3^-1, Y1^-2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 18, 48, 29, 59, 15, 45, 28, 58, 21, 51, 5, 35)(3, 33, 13, 43, 25, 55, 12, 42, 4, 34, 16, 46, 23, 53, 11, 41, 30, 60, 14, 44)(6, 36, 22, 52, 26, 56, 19, 49, 17, 47, 9, 39, 7, 37, 20, 50, 27, 57, 10, 40)(61, 91, 63, 93, 67, 97, 75, 105, 83, 113, 86, 116, 68, 98, 85, 115, 87, 117, 81, 111, 90, 120, 77, 107, 78, 108, 64, 94, 66, 96)(62, 92, 69, 99, 72, 102, 88, 118, 82, 112, 74, 104, 84, 114, 80, 110, 76, 106, 65, 95, 79, 109, 73, 103, 89, 119, 70, 100, 71, 101)
	L = (1, 64)(2, 70)(3, 66)(4, 77)(5, 80)(6, 78)(7, 61)(8, 83)(9, 71)(10, 73)(11, 89)(12, 62)(13, 65)(14, 88)(15, 63)(16, 84)(17, 81)(18, 90)(19, 76)(20, 74)(21, 85)(22, 72)(23, 67)(24, 82)(25, 86)(26, 75)(27, 68)(28, 69)(29, 79)(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, 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 E24.412
Graph:: bipartite
	v = 5 e = 60 f = 9
	degree seq :: [ 20^3, 30^2 ]

E24.436 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 15, 15})
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, Y1^-1 * Y2, Y3 * Y1 * Y3 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y1^-3, Y3 * Y1^-1 * Y3 * Y1^3, Y2^6, Y3^-1 * Y1^-1 * Y3 * Y2 * Y3^-3, Y3^3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 25, 55, 20, 50, 13, 43, 21, 51, 30, 60, 29, 59, 18, 48, 6, 36, 17, 47, 28, 58, 15, 45, 5, 35)(2, 32, 7, 37, 19, 49, 23, 53, 9, 39, 4, 34, 12, 42, 26, 56, 24, 54, 11, 41, 16, 46, 14, 44, 27, 57, 22, 52, 8, 38)(61, 62, 66, 76, 73, 64)(63, 69, 77, 68, 81, 71)(65, 74, 78, 72, 80, 67)(70, 84, 88, 83, 90, 82)(75, 86, 89, 79, 85, 87)(91, 92, 96, 106, 103, 94)(93, 99, 107, 98, 111, 101)(95, 104, 108, 102, 110, 97)(100, 114, 118, 113, 120, 112)(105, 116, 119, 109, 115, 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) :: { ( 60^6 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E24.439
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 6^10, 30^2 ]

E24.437 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 15, 15})
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, Y3 * Y2^-1 * Y1^-1, (Y3 * Y1)^2, Y1^-1 * Y2^2 * Y1^-1, R * Y1 * R * Y2, (Y2 * Y3)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1^2 * Y3^-1 * Y2^-1, Y1^6, Y1 * Y3^-4 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 17, 47, 27, 57, 12, 42, 19, 49, 10, 40, 24, 54, 28, 58, 14, 44, 8, 38, 20, 50, 25, 55, 23, 53, 7, 37)(2, 32, 9, 39, 22, 52, 30, 60, 15, 45, 5, 35, 3, 33, 13, 43, 29, 59, 18, 48, 16, 46, 6, 36, 21, 51, 26, 56, 11, 41)(61, 62, 68, 76, 79, 65)(63, 72, 69, 67, 66, 74)(64, 75, 80, 71, 70, 78)(73, 88, 82, 87, 81, 83)(77, 89, 85, 90, 84, 86)(91, 93, 98, 99, 109, 96)(92, 94, 106, 110, 95, 100)(97, 112, 104, 111, 102, 103)(101, 115, 108, 114, 105, 107)(113, 116, 118, 119, 117, 120)
	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) :: { ( 60^6 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E24.440
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 6^10, 30^2 ]

E24.438 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 15, 15})
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, (Y1^-1, Y2^-1), (Y3 * Y2)^2, Y2^-1 * Y3^-2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, Y2 * Y1^-1 * Y2^3, Y1^4 * Y2^-1, (Y2^-2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 17, 47, 26, 56, 9, 39, 7, 37)(2, 32, 10, 40, 6, 36, 18, 48, 22, 52, 12, 42)(3, 33, 14, 44, 5, 35, 19, 49, 25, 55, 16, 46)(8, 38, 23, 53, 11, 41, 27, 57, 21, 51, 24, 54)(13, 43, 28, 58, 15, 45, 30, 60, 20, 50, 29, 59)(61, 62, 68, 75, 63, 69, 82, 81, 73, 85, 77, 66, 71, 80, 65)(64, 74, 88, 87, 70, 67, 76, 89, 83, 72, 86, 79, 90, 84, 78)(91, 93, 103, 101, 92, 99, 115, 110, 98, 112, 107, 95, 105, 111, 96)(94, 100, 113, 120, 104, 97, 102, 114, 118, 106, 116, 108, 117, 119, 109)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 24^12 ), ( 24^15 ) }
Outer automorphisms :: reflexible
Dual of E24.441
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 12^5, 15^4 ]

E24.439 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 15, 15})
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, Y1^-1 * Y2, Y3 * Y1 * Y3 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y1^-3, Y3 * Y1^-1 * Y3 * Y1^3, Y2^6, Y3^-1 * Y1^-1 * Y3 * Y2 * Y3^-3, Y3^3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 25, 55, 85, 115, 20, 50, 80, 110, 13, 43, 73, 103, 21, 51, 81, 111, 30, 60, 90, 120, 29, 59, 89, 119, 18, 48, 78, 108, 6, 36, 66, 96, 17, 47, 77, 107, 28, 58, 88, 118, 15, 45, 75, 105, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 19, 49, 79, 109, 23, 53, 83, 113, 9, 39, 69, 99, 4, 34, 64, 94, 12, 42, 72, 102, 26, 56, 86, 116, 24, 54, 84, 114, 11, 41, 71, 101, 16, 46, 76, 106, 14, 44, 74, 104, 27, 57, 87, 117, 22, 52, 82, 112, 8, 38, 68, 98)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 44)(6, 46)(7, 35)(8, 51)(9, 47)(10, 54)(11, 33)(12, 50)(13, 34)(14, 48)(15, 56)(16, 43)(17, 38)(18, 42)(19, 55)(20, 37)(21, 41)(22, 40)(23, 60)(24, 58)(25, 57)(26, 59)(27, 45)(28, 53)(29, 49)(30, 52)(61, 92)(62, 96)(63, 99)(64, 91)(65, 104)(66, 106)(67, 95)(68, 111)(69, 107)(70, 114)(71, 93)(72, 110)(73, 94)(74, 108)(75, 116)(76, 103)(77, 98)(78, 102)(79, 115)(80, 97)(81, 101)(82, 100)(83, 120)(84, 118)(85, 117)(86, 119)(87, 105)(88, 113)(89, 109)(90, 112)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E24.436
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.440 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 15, 15})
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, Y3 * Y2^-1 * Y1^-1, (Y3 * Y1)^2, Y1^-1 * Y2^2 * Y1^-1, R * Y1 * R * Y2, (Y2 * Y3)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1^2 * Y3^-1 * Y2^-1, Y1^6, Y1 * Y3^-4 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 17, 47, 77, 107, 27, 57, 87, 117, 12, 42, 72, 102, 19, 49, 79, 109, 10, 40, 70, 100, 24, 54, 84, 114, 28, 58, 88, 118, 14, 44, 74, 104, 8, 38, 68, 98, 20, 50, 80, 110, 25, 55, 85, 115, 23, 53, 83, 113, 7, 37, 67, 97)(2, 32, 62, 92, 9, 39, 69, 99, 22, 52, 82, 112, 30, 60, 90, 120, 15, 45, 75, 105, 5, 35, 65, 95, 3, 33, 63, 93, 13, 43, 73, 103, 29, 59, 89, 119, 18, 48, 78, 108, 16, 46, 76, 106, 6, 36, 66, 96, 21, 51, 81, 111, 26, 56, 86, 116, 11, 41, 71, 101)
	L = (1, 32)(2, 38)(3, 42)(4, 45)(5, 31)(6, 44)(7, 36)(8, 46)(9, 37)(10, 48)(11, 40)(12, 39)(13, 58)(14, 33)(15, 50)(16, 49)(17, 59)(18, 34)(19, 35)(20, 41)(21, 53)(22, 57)(23, 43)(24, 56)(25, 60)(26, 47)(27, 51)(28, 52)(29, 55)(30, 54)(61, 93)(62, 94)(63, 98)(64, 106)(65, 100)(66, 91)(67, 112)(68, 99)(69, 109)(70, 92)(71, 115)(72, 103)(73, 97)(74, 111)(75, 107)(76, 110)(77, 101)(78, 114)(79, 96)(80, 95)(81, 102)(82, 104)(83, 116)(84, 105)(85, 108)(86, 118)(87, 120)(88, 119)(89, 117)(90, 113)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E24.437
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.441 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 15, 15})
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, (Y1^-1, Y2^-1), (Y3 * Y2)^2, Y2^-1 * Y3^-2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, Y2 * Y1^-1 * Y2^3, Y1^4 * Y2^-1, (Y2^-2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 17, 47, 77, 107, 26, 56, 86, 116, 9, 39, 69, 99, 7, 37, 67, 97)(2, 32, 62, 92, 10, 40, 70, 100, 6, 36, 66, 96, 18, 48, 78, 108, 22, 52, 82, 112, 12, 42, 72, 102)(3, 33, 63, 93, 14, 44, 74, 104, 5, 35, 65, 95, 19, 49, 79, 109, 25, 55, 85, 115, 16, 46, 76, 106)(8, 38, 68, 98, 23, 53, 83, 113, 11, 41, 71, 101, 27, 57, 87, 117, 21, 51, 81, 111, 24, 54, 84, 114)(13, 43, 73, 103, 28, 58, 88, 118, 15, 45, 75, 105, 30, 60, 90, 120, 20, 50, 80, 110, 29, 59, 89, 119)
	L = (1, 32)(2, 38)(3, 39)(4, 44)(5, 31)(6, 41)(7, 46)(8, 45)(9, 52)(10, 37)(11, 50)(12, 56)(13, 55)(14, 58)(15, 33)(16, 59)(17, 36)(18, 34)(19, 60)(20, 35)(21, 43)(22, 51)(23, 42)(24, 48)(25, 47)(26, 49)(27, 40)(28, 57)(29, 53)(30, 54)(61, 93)(62, 99)(63, 103)(64, 100)(65, 105)(66, 91)(67, 102)(68, 112)(69, 115)(70, 113)(71, 92)(72, 114)(73, 101)(74, 97)(75, 111)(76, 116)(77, 95)(78, 117)(79, 94)(80, 98)(81, 96)(82, 107)(83, 120)(84, 118)(85, 110)(86, 108)(87, 119)(88, 106)(89, 109)(90, 104)
	local type(s) :: { ( 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15 ) }
Outer automorphisms :: reflexible
Dual of E24.438
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 9
	degree seq :: [ 24^5 ]

E24.442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^2, Y2^-1 * Y1^-3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, (Y1^-1 * Y2^-2)^2, Y1^6, Y2^-2 * Y1^-1 * Y2 * Y1 * Y2^-2, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 16, 46, 12, 42, 4, 34)(3, 33, 9, 39, 17, 47, 13, 43, 21, 51, 8, 38)(5, 35, 11, 41, 18, 48, 7, 37, 19, 49, 14, 44)(10, 40, 24, 54, 29, 59, 22, 52, 28, 58, 23, 53)(15, 45, 27, 57, 25, 55, 26, 56, 30, 60, 20, 50)(61, 91, 63, 93, 70, 100, 85, 115, 78, 108, 66, 96, 77, 107, 89, 119, 90, 120, 79, 109, 72, 102, 81, 111, 88, 118, 75, 105, 65, 95)(62, 92, 67, 97, 80, 110, 83, 113, 69, 99, 76, 106, 74, 104, 87, 117, 84, 114, 73, 103, 64, 94, 71, 101, 86, 116, 82, 112, 68, 98)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2 * Y1)^2, (Y2 * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-3 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 16, 46, 13, 43, 4, 34)(3, 33, 9, 39, 17, 47, 8, 38, 21, 51, 11, 41)(5, 35, 14, 44, 18, 48, 12, 42, 20, 50, 7, 37)(10, 40, 24, 54, 28, 58, 23, 53, 30, 60, 22, 52)(15, 45, 26, 56, 29, 59, 19, 49, 25, 55, 27, 57)(61, 91, 63, 93, 70, 100, 85, 115, 80, 110, 73, 103, 81, 111, 90, 120, 89, 119, 78, 108, 66, 96, 77, 107, 88, 118, 75, 105, 65, 95)(62, 92, 67, 97, 79, 109, 83, 113, 69, 99, 64, 94, 72, 102, 86, 116, 84, 114, 71, 101, 76, 106, 74, 104, 87, 117, 82, 112, 68, 98)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3 * Y1, (Y2 * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2, Y3 * Y2^-5, Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 4, 34, 5, 35)(3, 33, 11, 41, 15, 45, 9, 39, 13, 43, 14, 44)(6, 36, 18, 48, 20, 50, 17, 47, 16, 46, 8, 38)(12, 42, 24, 54, 27, 57, 23, 53, 26, 56, 22, 52)(19, 49, 28, 58, 30, 60, 21, 51, 25, 55, 29, 59)(61, 91, 63, 93, 72, 102, 85, 115, 76, 106, 64, 94, 73, 103, 86, 116, 90, 120, 80, 110, 67, 97, 75, 105, 87, 117, 79, 109, 66, 96)(62, 92, 68, 98, 81, 111, 83, 113, 71, 101, 65, 95, 77, 107, 88, 118, 84, 114, 74, 104, 70, 100, 78, 108, 89, 119, 82, 112, 69, 99)
	L = (1, 64)(2, 65)(3, 73)(4, 67)(5, 70)(6, 76)(7, 61)(8, 77)(9, 71)(10, 62)(11, 74)(12, 86)(13, 75)(14, 69)(15, 63)(16, 80)(17, 78)(18, 68)(19, 85)(20, 66)(21, 88)(22, 83)(23, 84)(24, 82)(25, 90)(26, 87)(27, 72)(28, 89)(29, 81)(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, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1^2, Y3 * Y1^2 * Y2, (Y3, Y2), Y2^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y1)^2, Y3^-2 * Y2^3, Y3^5, Y1^-1 * Y3^2 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 15, 45, 5, 35)(3, 33, 13, 43, 7, 37, 10, 40, 24, 54, 11, 41)(4, 34, 12, 42, 6, 36, 19, 49, 23, 53, 9, 39)(14, 44, 28, 58, 16, 46, 29, 59, 21, 51, 27, 57)(17, 47, 30, 60, 18, 48, 25, 55, 20, 50, 26, 56)(61, 91, 63, 93, 74, 104, 77, 107, 83, 113, 68, 98, 67, 97, 76, 106, 78, 108, 64, 94, 75, 105, 84, 114, 81, 111, 80, 110, 66, 96)(62, 92, 69, 99, 85, 115, 87, 117, 73, 103, 82, 112, 72, 102, 86, 116, 88, 118, 70, 100, 65, 95, 79, 109, 90, 120, 89, 119, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 77)(5, 73)(6, 78)(7, 61)(8, 66)(9, 65)(10, 87)(11, 88)(12, 62)(13, 89)(14, 84)(15, 83)(16, 63)(17, 81)(18, 74)(19, 82)(20, 76)(21, 67)(22, 71)(23, 80)(24, 68)(25, 79)(26, 69)(27, 90)(28, 85)(29, 86)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 E24.449
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1, Y3), (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y3^-2 * Y2^3, Y3^5, (Y2 * Y3)^3, Y2 * Y3^-1 * Y1 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 19, 49, 5, 35)(3, 33, 13, 43, 23, 53, 11, 41, 7, 37, 10, 40)(4, 34, 12, 42, 24, 54, 9, 39, 6, 36, 17, 47)(14, 44, 28, 58, 21, 51, 27, 57, 15, 45, 29, 59)(16, 46, 30, 60, 20, 50, 26, 56, 18, 48, 25, 55)(61, 91, 63, 93, 74, 104, 76, 106, 84, 114, 79, 109, 67, 97, 75, 105, 78, 108, 64, 94, 68, 98, 83, 113, 81, 111, 80, 110, 66, 96)(62, 92, 69, 99, 85, 115, 87, 117, 73, 103, 65, 95, 72, 102, 86, 116, 88, 118, 70, 100, 82, 112, 77, 107, 90, 120, 89, 119, 71, 101)
	L = (1, 64)(2, 70)(3, 68)(4, 76)(5, 71)(6, 78)(7, 61)(8, 84)(9, 82)(10, 87)(11, 88)(12, 62)(13, 89)(14, 83)(15, 63)(16, 81)(17, 65)(18, 74)(19, 66)(20, 75)(21, 67)(22, 73)(23, 79)(24, 80)(25, 77)(26, 69)(27, 90)(28, 85)(29, 86)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 E24.450
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2, Y3^-1), (R * Y2)^2, Y2^-1 * Y3^-2 * Y1^-2, Y3^5, Y2 * Y1^-2 * Y2 * Y3^-1, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y1^-2 * Y3 * Y2^-1 * Y3, (Y1^-1 * Y3 * Y2)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 22, 52, 5, 35)(3, 33, 13, 43, 25, 55, 23, 53, 19, 49, 11, 41)(4, 34, 12, 42, 14, 44, 29, 59, 30, 60, 18, 48)(6, 36, 20, 50, 16, 46, 9, 39, 17, 47, 24, 54)(7, 37, 10, 40, 27, 57, 28, 58, 15, 45, 21, 51)(61, 91, 63, 93, 74, 104, 67, 97, 76, 106, 68, 98, 85, 115, 90, 120, 87, 117, 77, 107, 82, 112, 79, 109, 64, 94, 75, 105, 66, 96)(62, 92, 69, 99, 88, 118, 72, 102, 73, 103, 86, 116, 84, 114, 81, 111, 89, 119, 83, 113, 65, 95, 80, 110, 70, 100, 78, 108, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 77)(5, 81)(6, 79)(7, 61)(8, 74)(9, 78)(10, 83)(11, 80)(12, 62)(13, 69)(14, 66)(15, 82)(16, 63)(17, 85)(18, 65)(19, 87)(20, 89)(21, 73)(22, 90)(23, 84)(24, 72)(25, 67)(26, 88)(27, 68)(28, 71)(29, 86)(30, 76)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3 * Y2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, Y2^-2 * Y3 * Y1^-2, Y3^-1 * Y1 * Y3 * Y1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, Y3^5, Y1^6, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 23, 53, 5, 35)(3, 33, 13, 43, 20, 50, 11, 41, 25, 55, 16, 46)(4, 34, 12, 42, 27, 57, 28, 58, 14, 44, 19, 49)(6, 36, 24, 54, 18, 48, 21, 51, 17, 47, 9, 39)(7, 37, 10, 40, 15, 45, 29, 59, 30, 60, 22, 52)(61, 91, 63, 93, 74, 104, 67, 97, 77, 107, 83, 113, 85, 115, 87, 117, 90, 120, 78, 108, 68, 98, 80, 110, 64, 94, 75, 105, 66, 96)(62, 92, 69, 99, 82, 112, 72, 102, 73, 103, 65, 95, 81, 111, 89, 119, 79, 109, 76, 106, 86, 116, 84, 114, 70, 100, 88, 118, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 78)(5, 82)(6, 80)(7, 61)(8, 87)(9, 88)(10, 76)(11, 84)(12, 62)(13, 69)(14, 66)(15, 68)(16, 81)(17, 63)(18, 85)(19, 65)(20, 90)(21, 72)(22, 71)(23, 74)(24, 79)(25, 67)(26, 89)(27, 77)(28, 86)(29, 73)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^3, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2 * Y1 * Y3^2 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-2 * Y3^-1 * Y1, Y3^5, (Y1^-1 * Y3^-1 * Y2)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 21, 51, 5, 35)(3, 33, 13, 43, 17, 47, 22, 52, 24, 54, 11, 41)(4, 34, 12, 42, 27, 57, 28, 58, 16, 46, 18, 48)(6, 36, 19, 49, 15, 45, 9, 39, 25, 55, 23, 53)(7, 37, 10, 40, 14, 44, 29, 59, 30, 60, 20, 50)(61, 91, 63, 93, 74, 104, 64, 94, 75, 105, 68, 98, 77, 107, 90, 120, 87, 117, 85, 115, 81, 111, 84, 114, 67, 97, 76, 106, 66, 96)(62, 92, 69, 99, 88, 118, 70, 100, 73, 103, 86, 116, 83, 113, 78, 108, 89, 119, 82, 112, 65, 95, 79, 109, 72, 102, 80, 110, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 77)(5, 80)(6, 74)(7, 61)(8, 87)(9, 73)(10, 83)(11, 88)(12, 62)(13, 78)(14, 68)(15, 90)(16, 63)(17, 85)(18, 65)(19, 71)(20, 69)(21, 76)(22, 72)(23, 82)(24, 66)(25, 67)(26, 89)(27, 84)(28, 86)(29, 79)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 E24.445
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (R * Y1)^2, (Y2 * Y1)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1, Y3^5, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 22, 52, 5, 35)(3, 33, 13, 43, 24, 54, 11, 41, 18, 48, 16, 46)(4, 34, 12, 42, 17, 47, 29, 59, 30, 60, 19, 49)(6, 36, 23, 53, 25, 55, 20, 50, 15, 45, 9, 39)(7, 37, 10, 40, 27, 57, 28, 58, 14, 44, 21, 51)(61, 91, 63, 93, 74, 104, 64, 94, 75, 105, 82, 112, 78, 108, 87, 117, 90, 120, 85, 115, 68, 98, 84, 114, 67, 97, 77, 107, 66, 96)(62, 92, 69, 99, 79, 109, 70, 100, 73, 103, 65, 95, 80, 110, 89, 119, 81, 111, 76, 106, 86, 116, 83, 113, 72, 102, 88, 118, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 78)(5, 81)(6, 74)(7, 61)(8, 77)(9, 73)(10, 80)(11, 79)(12, 62)(13, 89)(14, 82)(15, 87)(16, 72)(17, 63)(18, 85)(19, 65)(20, 76)(21, 83)(22, 90)(23, 71)(24, 66)(25, 67)(26, 88)(27, 68)(28, 69)(29, 86)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.446
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^6, Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y2 * Y1^3, Y2 * Y1^-3 * Y3^-1 * Y1^-1, Y1^-2 * Y2^-5, Y2^-1 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3^-3, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 16, 46, 15, 45, 5, 35)(3, 33, 9, 39, 17, 47, 8, 38, 21, 51, 11, 41)(4, 34, 12, 42, 18, 48, 14, 44, 20, 50, 7, 37)(10, 40, 24, 54, 28, 58, 23, 53, 30, 60, 22, 52)(13, 43, 27, 57, 29, 59, 19, 49, 25, 55, 26, 56)(61, 91, 63, 93, 70, 100, 85, 115, 80, 110, 75, 105, 81, 111, 90, 120, 89, 119, 78, 108, 66, 96, 77, 107, 88, 118, 73, 103, 64, 94)(62, 92, 67, 97, 79, 109, 83, 113, 69, 99, 65, 95, 74, 104, 87, 117, 84, 114, 71, 101, 76, 106, 72, 102, 86, 116, 82, 112, 68, 98)
	L = (1, 64)(2, 68)(3, 61)(4, 73)(5, 69)(6, 78)(7, 62)(8, 82)(9, 83)(10, 63)(11, 84)(12, 76)(13, 88)(14, 65)(15, 80)(16, 71)(17, 66)(18, 89)(19, 67)(20, 85)(21, 75)(22, 86)(23, 79)(24, 87)(25, 70)(26, 72)(27, 74)(28, 77)(29, 90)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 E24.453
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y1 * Y2^-1 * Y1^-1, Y1 * Y3^2 * Y1^-1 * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 20, 50, 5, 35)(3, 33, 13, 43, 25, 55, 11, 41, 29, 59, 15, 45)(4, 34, 16, 46, 23, 53, 21, 51, 30, 60, 12, 42)(6, 36, 22, 52, 27, 57, 18, 48, 17, 47, 9, 39)(7, 37, 19, 49, 28, 58, 10, 40, 14, 44, 24, 54)(61, 91, 63, 93, 64, 94, 74, 104, 77, 107, 80, 110, 89, 119, 90, 120, 88, 118, 87, 117, 68, 98, 85, 115, 83, 113, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 81, 111, 73, 103, 65, 95, 78, 108, 79, 109, 76, 106, 75, 105, 86, 116, 82, 112, 84, 114, 72, 102, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 79)(6, 63)(7, 61)(8, 83)(9, 81)(10, 73)(11, 69)(12, 62)(13, 78)(14, 80)(15, 82)(16, 86)(17, 89)(18, 76)(19, 75)(20, 90)(21, 65)(22, 72)(23, 66)(24, 71)(25, 67)(26, 84)(27, 85)(28, 68)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y1 * Y2)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^2 * Y2^-2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y2^2 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 20, 50, 5, 35)(3, 33, 13, 43, 27, 57, 11, 41, 24, 54, 16, 46)(4, 34, 17, 47, 28, 58, 21, 51, 23, 53, 12, 42)(6, 36, 22, 52, 15, 45, 18, 48, 29, 59, 9, 39)(7, 37, 19, 49, 14, 44, 10, 40, 30, 60, 25, 55)(61, 91, 63, 93, 74, 104, 88, 118, 89, 119, 80, 110, 84, 114, 67, 97, 64, 94, 75, 105, 68, 98, 87, 117, 90, 120, 83, 113, 66, 96)(62, 92, 69, 99, 77, 107, 85, 115, 73, 103, 65, 95, 78, 108, 72, 102, 70, 100, 76, 106, 86, 116, 82, 112, 81, 111, 79, 109, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 63)(5, 79)(6, 67)(7, 61)(8, 88)(9, 76)(10, 69)(11, 72)(12, 62)(13, 81)(14, 68)(15, 74)(16, 77)(17, 86)(18, 71)(19, 78)(20, 83)(21, 65)(22, 73)(23, 84)(24, 66)(25, 82)(26, 85)(27, 89)(28, 87)(29, 90)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 E24.451
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.454 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 4
Presentation :: [ Y3^2, R^2 * Y3, Y1^-1 * Y2 * Y1^-1 * Y3, Y2 * R^-1 * Y1 * R, Y1^2 * Y2^2, Y1^-2 * Y2^4, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y2^-2 * R * Y1^-2 * R^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 12, 42, 5, 35)(3, 33, 11, 41, 6, 36, 17, 47, 21, 51, 9, 39)(4, 34, 14, 44, 20, 50, 8, 38, 22, 52, 10, 40)(13, 43, 24, 54, 18, 48, 25, 55, 30, 60, 27, 57)(15, 45, 23, 53, 16, 46, 26, 56, 29, 59, 28, 58)(61, 91, 63, 93, 72, 102, 81, 111, 67, 97, 66, 96)(62, 92, 68, 98, 65, 95, 74, 104, 79, 109, 70, 100)(64, 94, 75, 105, 82, 112, 89, 119, 80, 110, 76, 106)(69, 99, 84, 114, 77, 107, 87, 117, 71, 101, 85, 115)(73, 103, 88, 118, 90, 120, 86, 116, 78, 108, 83, 113)
	L = (1, 64)(2, 69)(3, 73)(4, 61)(5, 77)(6, 78)(7, 80)(8, 83)(9, 62)(10, 86)(11, 79)(12, 82)(13, 63)(14, 88)(15, 85)(16, 87)(17, 65)(18, 66)(19, 71)(20, 67)(21, 90)(22, 72)(23, 68)(24, 89)(25, 75)(26, 70)(27, 76)(28, 74)(29, 84)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^12 ) }
Outer automorphisms :: reflexible
Dual of E24.455
Transitivity :: VT
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 12^10 ]

E24.455 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 4
Presentation :: [ Y3^2, Y1 * Y2^-2, R^2 * Y3, Y2 * R^-1 * Y1 * R, Y3 * Y1^2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, R^-1 * Y2 * Y1 * Y2 * R * Y1, Y2 * Y1^7, (Y2 * Y1^2)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 27, 57, 30, 60, 17, 47, 6, 36, 3, 33, 8, 38, 20, 50, 28, 58, 29, 59, 16, 46, 5, 35)(4, 34, 11, 41, 10, 40, 24, 54, 9, 39, 22, 52, 21, 51, 14, 44, 12, 42, 26, 56, 25, 55, 15, 45, 23, 53, 18, 48, 13, 43)(61, 91, 63, 93, 62, 92, 68, 98, 67, 97, 80, 110, 79, 109, 88, 118, 87, 117, 89, 119, 90, 120, 76, 106, 77, 107, 65, 95, 66, 96)(64, 94, 72, 102, 71, 101, 86, 116, 70, 100, 85, 115, 84, 114, 75, 105, 69, 99, 83, 113, 82, 112, 78, 108, 81, 111, 73, 103, 74, 104)
	L = (1, 64)(2, 69)(3, 70)(4, 61)(5, 75)(6, 78)(7, 72)(8, 81)(9, 62)(10, 63)(11, 87)(12, 67)(13, 88)(14, 76)(15, 65)(16, 74)(17, 86)(18, 66)(19, 83)(20, 85)(21, 68)(22, 90)(23, 79)(24, 89)(25, 80)(26, 77)(27, 71)(28, 73)(29, 84)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E24.454
Transitivity :: VT
Graph:: bipartite
	v = 4 e = 60 f = 10
	degree seq :: [ 30^4 ]

E24.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y2^-5 * Y1^2, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^15 ]
Map::
	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, 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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^6, Y2^5 * Y1^2, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^15 ]
Map::
	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, 24, 54, 28, 58, 30, 60, 20, 50)(13, 43, 18, 48, 27, 57, 29, 59, 19, 49, 23, 53)(61, 91, 63, 93, 69, 99, 79, 109, 82, 112, 71, 101, 81, 111, 90, 120, 87, 117, 76, 106, 66, 96, 75, 105, 84, 114, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 83, 113, 72, 102, 64, 94, 70, 100, 80, 110, 89, 119, 86, 116, 74, 104, 85, 115, 88, 118, 78, 108, 68, 98)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3^3, (Y3^-1, Y2), (Y1^-1, Y2^-1), (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^5, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 20, 50, 12, 42, 13, 43)(6, 36, 9, 39, 18, 48, 22, 52, 15, 45, 16, 46)(11, 41, 19, 49, 26, 56, 29, 59, 24, 54, 25, 55)(17, 47, 21, 51, 28, 58, 30, 60, 23, 53, 27, 57)(61, 91, 63, 93, 71, 101, 83, 113, 75, 105, 64, 94, 72, 102, 84, 114, 88, 118, 78, 108, 67, 97, 74, 104, 86, 116, 77, 107, 66, 96)(62, 92, 68, 98, 79, 109, 87, 117, 76, 106, 65, 95, 73, 103, 85, 115, 90, 120, 82, 112, 70, 100, 80, 110, 89, 119, 81, 111, 69, 99)
	L = (1, 64)(2, 65)(3, 72)(4, 67)(5, 70)(6, 75)(7, 61)(8, 73)(9, 76)(10, 62)(11, 84)(12, 74)(13, 80)(14, 63)(15, 78)(16, 82)(17, 83)(18, 66)(19, 85)(20, 68)(21, 87)(22, 69)(23, 88)(24, 86)(25, 89)(26, 71)(27, 90)(28, 77)(29, 79)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^2, (Y1^-1, Y2^-1), (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, Y1^-1 * Y2^4 * Y3 * Y2, Y2^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 20, 50, 12, 42, 13, 43)(6, 36, 9, 39, 18, 48, 22, 52, 15, 45, 16, 46)(11, 41, 19, 49, 26, 56, 29, 59, 24, 54, 25, 55)(17, 47, 21, 51, 30, 60, 23, 53, 27, 57, 28, 58)(61, 91, 63, 93, 71, 101, 83, 113, 82, 112, 70, 100, 80, 110, 89, 119, 77, 107, 66, 96)(62, 92, 68, 98, 79, 109, 87, 117, 75, 105, 64, 94, 72, 102, 84, 114, 81, 111, 69, 99)(65, 95, 73, 103, 85, 115, 90, 120, 78, 108, 67, 97, 74, 104, 86, 116, 88, 118, 76, 106)
	L = (1, 64)(2, 65)(3, 72)(4, 67)(5, 70)(6, 75)(7, 61)(8, 73)(9, 76)(10, 62)(11, 84)(12, 74)(13, 80)(14, 63)(15, 78)(16, 82)(17, 87)(18, 66)(19, 85)(20, 68)(21, 88)(22, 69)(23, 81)(24, 86)(25, 89)(26, 71)(27, 90)(28, 83)(29, 79)(30, 77)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.460
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 12^5, 20^3 ]

E24.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 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 * Y3, Y3^3, (Y1^-1, Y2^-1), (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y3, Y1 * Y2 * Y1^4, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 17, 47, 6, 36, 11, 41, 22, 52, 28, 58, 18, 48, 7, 37, 12, 42, 23, 53, 29, 59, 25, 55, 13, 43, 24, 54, 30, 60, 27, 57, 15, 45, 4, 34, 10, 40, 21, 51, 26, 56, 14, 44, 3, 33, 9, 39, 20, 50, 16, 46, 5, 35)(61, 91, 63, 93, 64, 94, 73, 103, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 84, 114, 72, 102, 71, 101)(65, 95, 74, 104, 75, 105, 85, 115, 78, 108, 77, 107)(68, 98, 80, 110, 81, 111, 90, 120, 83, 113, 82, 112)(76, 106, 86, 116, 87, 117, 89, 119, 88, 118, 79, 109)
	L = (1, 64)(2, 70)(3, 73)(4, 67)(5, 75)(6, 63)(7, 61)(8, 81)(9, 84)(10, 72)(11, 69)(12, 62)(13, 66)(14, 85)(15, 78)(16, 87)(17, 74)(18, 65)(19, 86)(20, 90)(21, 83)(22, 80)(23, 68)(24, 71)(25, 77)(26, 89)(27, 88)(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, 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 E24.459
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 12^5, 60 ]

E24.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^5, Y2^6, Y2 * Y3^-5, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y3^-1 * Y1^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 15, 45, 5, 35)(3, 33, 9, 39, 20, 50, 17, 47, 7, 37)(4, 34, 10, 40, 21, 51, 16, 46, 6, 36)(11, 41, 22, 52, 30, 60, 19, 49, 12, 42)(13, 43, 23, 53, 29, 59, 18, 48, 14, 44)(24, 54, 28, 58, 27, 57, 26, 56, 25, 55)(61, 91, 63, 93, 71, 101, 84, 114, 78, 108, 66, 96)(62, 92, 69, 99, 82, 112, 88, 118, 74, 104, 64, 94)(65, 95, 67, 97, 72, 102, 85, 115, 89, 119, 76, 106)(68, 98, 80, 110, 90, 120, 87, 117, 73, 103, 70, 100)(75, 105, 77, 107, 79, 109, 86, 116, 83, 113, 81, 111)
	L = (1, 64)(2, 70)(3, 62)(4, 73)(5, 66)(6, 74)(7, 61)(8, 81)(9, 68)(10, 83)(11, 69)(12, 63)(13, 86)(14, 87)(15, 76)(16, 78)(17, 65)(18, 88)(19, 67)(20, 75)(21, 89)(22, 80)(23, 85)(24, 82)(25, 71)(26, 72)(27, 79)(28, 90)(29, 84)(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) :: { ( 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 E24.472
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 10^6, 12^5 ]

E24.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1^-2, (Y2^-1, Y3^-1), Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2^2 * Y3, Y3 * Y2 * Y1^3, Y1 * Y3 * Y1^2 * Y2, Y2^-1 * Y3^5, Y2^6, Y2^2 * Y3^-1 * Y1 * Y3^3, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 19, 49, 7, 37, 12, 42)(4, 34, 10, 40, 18, 48, 6, 36, 11, 41)(13, 43, 21, 51, 25, 55, 14, 44, 22, 52)(15, 45, 20, 50, 24, 54, 16, 46, 23, 53)(26, 56, 28, 58, 30, 60, 27, 57, 29, 59)(61, 91, 63, 93, 73, 103, 86, 116, 80, 110, 66, 96)(62, 92, 69, 99, 81, 111, 88, 118, 84, 114, 71, 101)(64, 94, 68, 98, 79, 109, 85, 115, 90, 120, 76, 106)(65, 95, 72, 102, 82, 112, 89, 119, 75, 105, 78, 108)(67, 97, 74, 104, 87, 117, 83, 113, 70, 100, 77, 107)
	L = (1, 64)(2, 70)(3, 68)(4, 75)(5, 71)(6, 76)(7, 61)(8, 78)(9, 77)(10, 80)(11, 83)(12, 62)(13, 79)(14, 63)(15, 88)(16, 89)(17, 66)(18, 84)(19, 65)(20, 90)(21, 67)(22, 69)(23, 86)(24, 87)(25, 72)(26, 85)(27, 73)(28, 74)(29, 81)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.471
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 10^6, 12^5 ]

E24.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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 * Y2, Y1 * Y2 * Y1 * Y3, (R * Y1)^2, (Y2, Y3), (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^2 * Y2^2, Y2^-1 * Y3^5, Y2^6, Y2 * Y1 * 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 5, 35)(3, 33, 9, 39, 7, 37, 12, 42, 15, 45)(4, 34, 10, 40, 6, 36, 11, 41, 18, 48)(13, 43, 22, 52, 16, 46, 23, 53, 21, 51)(17, 47, 24, 54, 19, 49, 25, 55, 20, 50)(26, 56, 29, 59, 27, 57, 30, 60, 28, 58)(61, 91, 63, 93, 73, 103, 86, 116, 80, 110, 66, 96)(62, 92, 69, 99, 82, 112, 89, 119, 77, 107, 71, 101)(64, 94, 74, 104, 72, 102, 83, 113, 90, 120, 79, 109)(65, 95, 75, 105, 81, 111, 88, 118, 85, 115, 70, 100)(67, 97, 76, 106, 87, 117, 84, 114, 78, 108, 68, 98)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 66)(9, 65)(10, 84)(11, 85)(12, 62)(13, 72)(14, 71)(15, 68)(16, 63)(17, 88)(18, 80)(19, 89)(20, 90)(21, 67)(22, 75)(23, 69)(24, 86)(25, 87)(26, 83)(27, 73)(28, 76)(29, 81)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.470
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 10^6, 12^5 ]

E24.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y2^-1 * Y3^-2 * Y2^-1, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y3), Y1 * Y3 * Y1 * Y2 * Y1, Y1^-2 * Y2 * Y3 * Y1^-1, Y2^-2 * Y1^-1 * Y3 * Y2^-2, Y3^-1 * Y2 * Y1 * Y2 * Y3^-2, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 20, 50, 5, 35)(3, 33, 9, 39, 22, 52, 7, 37, 12, 42, 15, 45)(4, 34, 10, 40, 21, 51, 6, 36, 11, 41, 18, 48)(13, 43, 23, 53, 30, 60, 16, 46, 24, 54, 28, 58)(17, 47, 25, 55, 27, 57, 19, 49, 26, 56, 29, 59)(61, 91, 63, 93, 73, 103, 87, 117, 78, 108, 68, 98, 82, 112, 90, 120, 86, 116, 70, 100, 80, 110, 72, 102, 84, 114, 77, 107, 66, 96)(62, 92, 69, 99, 83, 113, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 89, 119, 81, 111, 65, 95, 75, 105, 88, 118, 85, 115, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 81)(9, 80)(10, 85)(11, 86)(12, 62)(13, 67)(14, 66)(15, 68)(16, 63)(17, 83)(18, 89)(19, 84)(20, 71)(21, 87)(22, 65)(23, 72)(24, 69)(25, 90)(26, 88)(27, 76)(28, 82)(29, 73)(30, 75)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 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 E24.469
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, Y2 * Y3 * Y1^-1 * Y2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y1^6, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-12 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 15, 45, 5, 35)(3, 33, 9, 39, 19, 49, 27, 57, 23, 53, 13, 43)(4, 34, 10, 40, 20, 50, 28, 58, 24, 54, 14, 44)(6, 36, 11, 41, 21, 51, 29, 59, 25, 55, 16, 46)(7, 37, 12, 42, 22, 52, 30, 60, 26, 56, 17, 47)(61, 91, 63, 93, 72, 102, 70, 100, 81, 111, 68, 98, 79, 109, 90, 120, 88, 118, 85, 115, 75, 105, 83, 113, 77, 107, 74, 104, 66, 96)(62, 92, 69, 99, 82, 112, 80, 110, 89, 119, 78, 108, 87, 117, 86, 116, 84, 114, 76, 106, 65, 95, 73, 103, 67, 97, 64, 94, 71, 101)
	L = (1, 64)(2, 70)(3, 71)(4, 63)(5, 74)(6, 67)(7, 61)(8, 80)(9, 81)(10, 69)(11, 72)(12, 62)(13, 66)(14, 73)(15, 84)(16, 77)(17, 65)(18, 88)(19, 89)(20, 79)(21, 82)(22, 68)(23, 76)(24, 83)(25, 86)(26, 75)(27, 85)(28, 87)(29, 90)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 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 E24.467
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2^-1, Y3^-1), (Y2^-1, Y1^-1), (Y1, Y3), (R * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y2, Y2^-1 * Y1^2 * Y3^-2, Y3^3 * Y1 * Y2^-1, Y2^-1 * Y1^-3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 20, 50, 5, 35)(3, 33, 9, 39, 27, 57, 19, 49, 25, 55, 15, 45)(4, 34, 10, 40, 28, 58, 13, 43, 24, 54, 18, 48)(6, 36, 11, 41, 17, 47, 16, 46, 29, 59, 21, 51)(7, 37, 12, 42, 14, 44, 23, 53, 30, 60, 22, 52)(61, 91, 63, 93, 73, 103, 82, 112, 77, 107, 68, 98, 87, 117, 78, 108, 72, 102, 89, 119, 80, 110, 85, 115, 70, 100, 83, 113, 66, 96)(62, 92, 69, 99, 84, 114, 67, 97, 76, 106, 86, 116, 79, 109, 64, 94, 74, 104, 81, 111, 65, 95, 75, 105, 88, 118, 90, 120, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 88)(9, 83)(10, 76)(11, 85)(12, 62)(13, 81)(14, 68)(15, 72)(16, 63)(17, 75)(18, 71)(19, 82)(20, 84)(21, 87)(22, 65)(23, 86)(24, 66)(25, 67)(26, 73)(27, 90)(28, 89)(29, 69)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.468
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 12^5, 30^2 ]

E24.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y2^5, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y3 * Y1^3, (Y3^-1 * Y2)^6, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 20, 50, 10, 40, 3, 33, 7, 37, 15, 45, 24, 54, 27, 57, 19, 49, 9, 39, 17, 47, 25, 55, 30, 60, 29, 59, 23, 53, 13, 43, 18, 48, 26, 56, 28, 58, 22, 52, 12, 42, 5, 35, 8, 38, 16, 46, 21, 51, 11, 41, 4, 34)(61, 91, 63, 93, 69, 99, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 78, 108, 68, 98)(64, 94, 70, 100, 79, 109, 83, 113, 72, 102)(66, 96, 75, 105, 85, 115, 86, 116, 76, 106)(71, 101, 80, 110, 87, 117, 89, 119, 82, 112)(74, 104, 84, 114, 90, 120, 88, 118, 81, 111)
	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, 80)(15, 84)(16, 81)(17, 85)(18, 86)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 87)(25, 90)(26, 88)(27, 79)(28, 82)(29, 83)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 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 E24.465
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^5, Y2^-2 * Y3 * Y2^-2 * Y1^-1, Y1^4 * Y3^2, Y1^2 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1, Y1^-1 * Y3^-10 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 19, 49, 12, 42, 11, 41, 23, 53, 28, 58, 27, 57, 29, 59, 16, 46, 6, 36, 4, 34, 10, 40, 22, 52, 17, 47, 7, 37, 3, 33, 9, 39, 21, 51, 30, 60, 26, 56, 25, 55, 18, 48, 14, 44, 13, 43, 24, 54, 15, 45, 5, 35)(61, 91, 63, 93, 71, 101, 78, 108, 66, 96)(62, 92, 69, 99, 83, 113, 74, 104, 64, 94)(65, 95, 67, 97, 72, 102, 85, 115, 76, 106)(68, 98, 81, 111, 88, 118, 73, 103, 70, 100)(75, 105, 77, 107, 79, 109, 86, 116, 89, 119)(80, 110, 90, 120, 87, 117, 84, 114, 82, 112)
	L = (1, 64)(2, 70)(3, 62)(4, 73)(5, 66)(6, 74)(7, 61)(8, 82)(9, 68)(10, 84)(11, 69)(12, 63)(13, 87)(14, 88)(15, 76)(16, 78)(17, 65)(18, 83)(19, 67)(20, 77)(21, 80)(22, 75)(23, 81)(24, 89)(25, 71)(26, 72)(27, 86)(28, 90)(29, 85)(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, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 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 E24.466
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^2 * Y1^-1 * Y3, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, Y2 * Y1^2 * Y3^-2, Y2^-1 * Y1^-2 * Y3^2, Y3^-1 * Y1^-1 * Y3^-3 * Y1^-1, Y3 * Y1^5 * Y2^-1, (Y3^-1 * Y2)^6, Y1^-1 * Y3^-1 * Y1^-2 * Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 28, 58, 14, 44, 16, 46, 4, 34, 10, 40, 23, 53, 27, 57, 13, 43, 3, 33, 9, 39, 15, 45, 25, 55, 21, 51, 19, 49, 6, 36, 11, 41, 24, 54, 29, 59, 20, 50, 7, 37, 12, 42, 17, 47, 26, 56, 30, 60, 18, 48, 5, 35)(61, 91, 63, 93, 72, 102, 76, 106, 66, 96)(62, 92, 69, 99, 77, 107, 64, 94, 71, 101)(65, 95, 73, 103, 67, 97, 74, 104, 79, 109)(68, 98, 75, 105, 86, 116, 70, 100, 84, 114)(78, 108, 87, 117, 80, 110, 88, 118, 81, 111)(82, 112, 85, 115, 90, 120, 83, 113, 89, 119)
	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, 89)(16, 69)(17, 68)(18, 74)(19, 72)(20, 65)(21, 67)(22, 87)(23, 81)(24, 90)(25, 80)(26, 82)(27, 79)(28, 73)(29, 78)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 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 E24.464
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (Y1^-1, Y2), (Y3^-1, Y2^-1), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y1 * Y3^-2, Y1 * Y3 * Y1^2 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, (Y1 * Y3^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 20, 50, 24, 54, 30, 60, 21, 51, 15, 45, 23, 53, 26, 56, 12, 42, 17, 47, 18, 48, 5, 35)(3, 33, 6, 36, 10, 40, 19, 49, 7, 37, 11, 41, 22, 52, 27, 57, 25, 55, 28, 58, 29, 59, 16, 46, 4, 34, 9, 39, 13, 43)(61, 91, 63, 93, 65, 95, 73, 103, 78, 108, 69, 99, 77, 107, 64, 94, 72, 102, 76, 106, 86, 116, 89, 119, 83, 113, 88, 118, 75, 105, 85, 115, 81, 111, 87, 117, 90, 120, 82, 112, 84, 114, 71, 101, 80, 110, 67, 97, 74, 104, 79, 109, 68, 98, 70, 100, 62, 92, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 83)(10, 78)(11, 62)(12, 85)(13, 86)(14, 63)(15, 71)(16, 81)(17, 88)(18, 89)(19, 65)(20, 66)(21, 67)(22, 68)(23, 82)(24, 70)(25, 80)(26, 87)(27, 74)(28, 84)(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) :: { ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.463
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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 * Y2^2, (Y2 * Y1^-1)^2, (R * Y2)^2, (Y2, Y1), (Y1^-1, Y3), (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^4, Y2 * Y1 * Y3^-1 * Y1^2, Y2 * Y1^3 * Y3^-1, Y3^-1 * Y2^-2 * Y3^-2 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 26, 56, 13, 43, 24, 54, 22, 52, 15, 45, 25, 55, 21, 51, 27, 57, 14, 44, 18, 48, 5, 35)(3, 33, 9, 39, 16, 46, 4, 34, 10, 40, 23, 53, 30, 60, 29, 59, 28, 58, 20, 50, 7, 37, 12, 42, 19, 49, 6, 36, 11, 41)(61, 91, 63, 93, 68, 98, 76, 106, 86, 116, 70, 100, 84, 114, 90, 120, 75, 105, 88, 118, 81, 111, 67, 97, 74, 104, 79, 109, 65, 95, 71, 101, 62, 92, 69, 99, 77, 107, 64, 94, 73, 103, 83, 113, 82, 112, 89, 119, 85, 115, 80, 110, 87, 117, 72, 102, 78, 108, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 77)(7, 61)(8, 83)(9, 84)(10, 85)(11, 86)(12, 62)(13, 88)(14, 63)(15, 72)(16, 82)(17, 90)(18, 69)(19, 68)(20, 65)(21, 66)(22, 67)(23, 81)(24, 80)(25, 79)(26, 89)(27, 71)(28, 78)(29, 74)(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, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.462
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, Y3), Y1^-1 * Y3 * Y1^-1 * Y2, Y1^-2 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-1 * Y3^-1 * Y1, (R * Y3)^2, (Y1^-1, Y3), Y3 * Y1 * Y2^-1 * Y3^2, Y3 * Y1 * Y3^2 * Y2^-1, Y2^4 * Y3^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y1^-4 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 20, 50, 27, 57, 16, 46, 21, 51, 15, 45, 14, 44, 26, 56, 13, 43, 25, 55, 17, 47, 5, 35)(3, 33, 9, 39, 23, 53, 18, 48, 6, 36, 11, 41, 4, 34, 10, 40, 24, 54, 29, 59, 30, 60, 28, 58, 19, 49, 7, 37, 12, 42)(61, 91, 63, 93, 73, 103, 88, 118, 81, 111, 70, 100, 82, 112, 78, 108, 65, 95, 72, 102, 86, 116, 90, 120, 76, 106, 64, 94, 68, 98, 83, 113, 77, 107, 67, 97, 74, 104, 89, 119, 87, 117, 71, 101, 62, 92, 69, 99, 85, 115, 79, 109, 75, 105, 84, 114, 80, 110, 66, 96)
	L = (1, 64)(2, 70)(3, 68)(4, 75)(5, 71)(6, 76)(7, 61)(8, 84)(9, 82)(10, 74)(11, 81)(12, 62)(13, 83)(14, 63)(15, 72)(16, 79)(17, 66)(18, 87)(19, 65)(20, 90)(21, 67)(22, 89)(23, 80)(24, 86)(25, 78)(26, 69)(27, 88)(28, 77)(29, 73)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.461
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y3, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^3, Y2 * Y3 * Y2 * Y3 * Y1, Y1^5, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 20, 50, 25, 55, 15, 45)(4, 34, 10, 40, 22, 52, 28, 58, 16, 46)(6, 36, 11, 41, 23, 53, 13, 43, 18, 48)(7, 37, 12, 42, 24, 54, 29, 59, 19, 49)(14, 44, 21, 51, 26, 56, 30, 60, 27, 57)(61, 91, 63, 93, 73, 103, 77, 107, 85, 115, 71, 101, 62, 92, 69, 99, 78, 108, 65, 95, 75, 105, 83, 113, 68, 98, 80, 110, 66, 96)(64, 94, 74, 104, 79, 109, 88, 118, 90, 120, 84, 114, 70, 100, 81, 111, 67, 97, 76, 106, 87, 117, 89, 119, 82, 112, 86, 116, 72, 102)
	L = (1, 64)(2, 70)(3, 74)(4, 69)(5, 76)(6, 72)(7, 61)(8, 82)(9, 81)(10, 80)(11, 84)(12, 62)(13, 79)(14, 78)(15, 87)(16, 63)(17, 88)(18, 67)(19, 65)(20, 86)(21, 66)(22, 85)(23, 89)(24, 68)(25, 90)(26, 71)(27, 73)(28, 75)(29, 77)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.477
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-3, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (Y1^-1, Y3^-1), Y3 * Y1 * Y2^-1 * Y3 * Y1, Y3^4 * Y2, Y1^5, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 9, 39, 24, 54, 17, 47, 15, 45)(4, 34, 10, 40, 16, 46, 27, 57, 18, 48)(6, 36, 11, 41, 23, 53, 29, 59, 13, 43)(7, 37, 12, 42, 25, 55, 19, 49, 21, 51)(14, 44, 26, 56, 30, 60, 22, 52, 28, 58)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 89, 119, 80, 110, 77, 107, 83, 113, 68, 98, 84, 114, 71, 101, 62, 92, 69, 99, 66, 96)(64, 94, 74, 104, 85, 115, 78, 108, 88, 118, 72, 102, 87, 117, 82, 112, 67, 97, 76, 106, 90, 120, 81, 111, 70, 100, 86, 116, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 76)(9, 86)(10, 75)(11, 81)(12, 62)(13, 85)(14, 83)(15, 88)(16, 63)(17, 82)(18, 84)(19, 80)(20, 87)(21, 65)(22, 66)(23, 67)(24, 90)(25, 68)(26, 89)(27, 69)(28, 71)(29, 72)(30, 73)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.476
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^3, (Y2^-1, Y3), (Y3, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y1, Y2), (R * Y3)^2, Y2 * Y3^-2 * Y1^2, Y2 * Y1^2 * Y3^-2, Y1^5, Y3^2 * Y2 * Y3^2, (Y3^-1 * Y2^-1 * Y1^-1)^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 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 5, 35)(3, 33, 9, 39, 16, 46, 27, 57, 14, 44)(4, 34, 10, 40, 24, 54, 15, 45, 17, 47)(6, 36, 11, 41, 25, 55, 23, 53, 20, 50)(7, 37, 12, 42, 18, 48, 28, 58, 21, 51)(13, 43, 26, 56, 22, 52, 29, 59, 30, 60)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 85, 115, 68, 98, 76, 106, 83, 113, 79, 109, 87, 117, 80, 110, 65, 95, 74, 104, 66, 96)(64, 94, 73, 103, 88, 118, 70, 100, 86, 116, 81, 111, 84, 114, 82, 112, 67, 97, 75, 105, 89, 119, 72, 102, 77, 107, 90, 120, 78, 108)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 84)(9, 86)(10, 87)(11, 88)(12, 62)(13, 83)(14, 90)(15, 63)(16, 82)(17, 69)(18, 68)(19, 75)(20, 72)(21, 65)(22, 66)(23, 67)(24, 74)(25, 81)(26, 80)(27, 89)(28, 79)(29, 71)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.478
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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 * Y3^-1, Y2^-1 * Y3^-1, Y2^-1 * Y3^-1, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^5 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2^-3, Y1^6, (Y1^-1 * Y2)^5, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^2, Y2^-1 * Y1^-2 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 13, 43, 5, 35)(3, 33, 7, 37, 15, 45, 23, 53, 21, 51, 10, 40)(4, 34, 8, 38, 16, 46, 24, 54, 22, 52, 12, 42)(9, 39, 17, 47, 25, 55, 29, 59, 28, 58, 20, 50)(11, 41, 18, 48, 26, 56, 30, 60, 27, 57, 19, 49)(61, 91, 63, 93, 69, 99, 79, 109, 72, 102, 65, 95, 70, 100, 80, 110, 87, 117, 82, 112, 73, 103, 81, 111, 88, 118, 90, 120, 84, 114, 74, 104, 83, 113, 89, 119, 86, 116, 76, 106, 66, 96, 75, 105, 85, 115, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 71, 101, 64, 94)
	L = (1, 64)(2, 68)(3, 61)(4, 71)(5, 72)(6, 76)(7, 62)(8, 78)(9, 63)(10, 65)(11, 77)(12, 79)(13, 82)(14, 84)(15, 66)(16, 86)(17, 67)(18, 85)(19, 69)(20, 70)(21, 73)(22, 87)(23, 74)(24, 90)(25, 75)(26, 89)(27, 80)(28, 81)(29, 83)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.474
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 12^5, 60 ]

E24.477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), Y2 * Y3 * Y2 * Y1^-1, (Y3, Y1^-1), Y3 * Y1^-1 * Y2^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1, Y3^4 * Y2^-2, Y1^6, Y2^-1 * Y1^-2 * Y3^2 * Y1^-1, Y2^-5 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 15, 45, 28, 58, 13, 43)(4, 34, 10, 40, 24, 54, 14, 44, 27, 57, 16, 46)(6, 36, 11, 41, 25, 55, 21, 51, 30, 60, 19, 49)(7, 37, 12, 42, 26, 56, 17, 47, 29, 59, 20, 50)(61, 91, 63, 93, 72, 102, 87, 117, 79, 109, 65, 95, 73, 103, 67, 97, 74, 104, 90, 120, 78, 108, 88, 118, 80, 110, 84, 114, 81, 111, 82, 112, 75, 105, 89, 119, 70, 100, 85, 115, 68, 98, 83, 113, 77, 107, 64, 94, 71, 101, 62, 92, 69, 99, 86, 116, 76, 106, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 75)(5, 76)(6, 77)(7, 61)(8, 84)(9, 85)(10, 88)(11, 89)(12, 62)(13, 66)(14, 63)(15, 90)(16, 83)(17, 82)(18, 87)(19, 86)(20, 65)(21, 67)(22, 74)(23, 81)(24, 73)(25, 80)(26, 68)(27, 69)(28, 79)(29, 78)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.473
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 12^5, 60 ]

E24.478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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 * Y2^-1, Y3 * Y2 * Y3 * Y1, (Y3, Y1), Y2 * Y1 * Y3^2, (Y1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-2 * Y2^-2 * Y1^-1, Y1^6, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-2, (Y3 * Y2^-1)^15, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 20, 50, 5, 35)(3, 33, 9, 39, 23, 53, 19, 49, 29, 59, 15, 45)(4, 34, 10, 40, 24, 54, 13, 43, 27, 57, 18, 48)(6, 36, 11, 41, 25, 55, 16, 46, 28, 58, 17, 47)(7, 37, 12, 42, 26, 56, 21, 51, 30, 60, 14, 44)(61, 91, 63, 93, 73, 103, 86, 116, 77, 107, 65, 95, 75, 105, 84, 114, 72, 102, 88, 118, 80, 110, 89, 119, 70, 100, 67, 97, 76, 106, 82, 112, 79, 109, 64, 94, 74, 104, 85, 115, 68, 98, 83, 113, 78, 108, 90, 120, 71, 101, 62, 92, 69, 99, 87, 117, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 84)(9, 67)(10, 66)(11, 89)(12, 62)(13, 85)(14, 65)(15, 90)(16, 63)(17, 83)(18, 88)(19, 86)(20, 87)(21, 82)(22, 73)(23, 72)(24, 71)(25, 75)(26, 68)(27, 76)(28, 69)(29, 81)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.475
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 12^5, 60 ]

E24.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y1 * Y2^-2, (Y1, Y3), (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^6, 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 * Y2, Y3^2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 3, 33, 5, 35)(4, 34, 8, 38, 14, 44, 10, 40, 13, 43)(7, 37, 9, 39, 16, 46, 11, 41, 15, 45)(12, 42, 18, 48, 24, 54, 20, 50, 23, 53)(17, 47, 19, 49, 26, 56, 21, 51, 25, 55)(22, 52, 27, 57, 30, 60, 28, 58, 29, 59)(61, 91, 63, 93, 62, 92, 65, 95, 66, 96)(64, 94, 70, 100, 68, 98, 73, 103, 74, 104)(67, 97, 71, 101, 69, 99, 75, 105, 76, 106)(72, 102, 80, 110, 78, 108, 83, 113, 84, 114)(77, 107, 81, 111, 79, 109, 85, 115, 86, 116)(82, 112, 88, 118, 87, 117, 89, 119, 90, 120)
	L = (1, 64)(2, 68)(3, 70)(4, 72)(5, 73)(6, 74)(7, 61)(8, 78)(9, 62)(10, 80)(11, 63)(12, 82)(13, 83)(14, 84)(15, 65)(16, 66)(17, 67)(18, 87)(19, 69)(20, 88)(21, 71)(22, 77)(23, 89)(24, 90)(25, 75)(26, 76)(27, 79)(28, 81)(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) :: { ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E24.493
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 10^12 ]

E24.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^5, (R * Y2 * Y3^-1)^2, Y2^6 * Y1^-1, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 27, 57, 19, 49)(13, 43, 17, 47, 25, 55, 28, 58, 22, 52)(18, 48, 26, 56, 30, 60, 29, 59, 23, 53)(61, 91, 63, 93, 69, 99, 78, 108, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 86, 116, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 90, 120, 88, 118, 81, 111, 71, 101, 80, 110, 87, 117, 89, 119, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 83, 113, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2^6 * Y1, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 28, 58, 19, 49)(13, 43, 17, 47, 25, 55, 29, 59, 22, 52)(18, 48, 23, 53, 26, 56, 30, 60, 27, 57)(61, 91, 63, 93, 69, 99, 78, 108, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 87, 117, 89, 119, 81, 111, 71, 101, 80, 110, 88, 118, 90, 120, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 86, 116, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 83, 113, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2, Y1), (R * Y3)^2, (R * Y1)^2, Y1^-5, Y1^5, (R * Y2 * Y3^-1)^2, Y2^-6 * Y1^-2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1, (Y3^-1 * Y1^-1)^5, Y2^-1 * Y1^-8 * Y2 * Y1^-2, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 30, 60, 19, 49)(13, 43, 17, 47, 25, 55, 28, 58, 22, 52)(18, 48, 26, 56, 23, 53, 27, 57, 29, 59)(61, 91, 63, 93, 69, 99, 78, 108, 88, 118, 81, 111, 71, 101, 80, 110, 90, 120, 87, 117, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 86, 116, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 89, 119, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 83, 113, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^-5, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^6, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 28, 58, 19, 49)(13, 43, 17, 47, 25, 55, 29, 59, 22, 52)(18, 48, 26, 56, 30, 60, 23, 53, 27, 57)(61, 91, 63, 93, 69, 99, 78, 108, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 90, 120, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 87, 117, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 86, 116, 89, 119, 81, 111, 71, 101, 80, 110, 88, 118, 83, 113, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^5, Y1^5, (R * Y2 * Y3^-1)^2, Y2^5 * Y3 * Y2, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 28, 58, 19, 49)(13, 43, 17, 47, 25, 55, 29, 59, 22, 52)(18, 48, 23, 53, 26, 56, 30, 60, 27, 57)(61, 91, 63, 93, 69, 99, 78, 108, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 87, 117, 89, 119, 81, 111, 71, 101, 80, 110, 88, 118, 90, 120, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 86, 116, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 83, 113, 73, 103, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 84)(17, 85)(18, 83)(19, 69)(20, 70)(21, 72)(22, 73)(23, 86)(24, 88)(25, 89)(26, 90)(27, 78)(28, 79)(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, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 E24.491
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3), Y2^-2 * Y3^-1 * Y2^2 * Y3, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-5, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 7, 37, 5, 35)(3, 33, 8, 38, 11, 41, 13, 43, 12, 42)(6, 36, 9, 39, 14, 44, 17, 47, 15, 45)(10, 40, 18, 48, 21, 51, 23, 53, 22, 52)(16, 46, 19, 49, 24, 54, 27, 57, 25, 55)(20, 50, 28, 58, 26, 56, 29, 59, 30, 60)(61, 91, 63, 93, 70, 100, 80, 110, 87, 117, 77, 107, 67, 97, 73, 103, 83, 113, 89, 119, 79, 109, 69, 99, 62, 92, 68, 98, 78, 108, 88, 118, 85, 115, 75, 105, 65, 95, 72, 102, 82, 112, 90, 120, 84, 114, 74, 104, 64, 94, 71, 101, 81, 111, 86, 116, 76, 106, 66, 96)
	L = (1, 64)(2, 67)(3, 71)(4, 65)(5, 62)(6, 74)(7, 61)(8, 73)(9, 77)(10, 81)(11, 72)(12, 68)(13, 63)(14, 75)(15, 69)(16, 84)(17, 66)(18, 83)(19, 87)(20, 86)(21, 82)(22, 78)(23, 70)(24, 85)(25, 79)(26, 90)(27, 76)(28, 89)(29, 80)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.492
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y1 * Y3^-2, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1 * Y2, Y2^-1 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y2^-4, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 5, 35)(3, 33, 8, 38, 13, 43, 11, 41, 12, 42)(6, 36, 9, 39, 17, 47, 14, 44, 15, 45)(10, 40, 18, 48, 23, 53, 21, 51, 22, 52)(16, 46, 19, 49, 27, 57, 24, 54, 25, 55)(20, 50, 28, 58, 30, 60, 26, 56, 29, 59)(61, 91, 63, 93, 70, 100, 80, 110, 87, 117, 77, 107, 67, 97, 73, 103, 83, 113, 90, 120, 85, 115, 75, 105, 65, 95, 72, 102, 82, 112, 89, 119, 79, 109, 69, 99, 62, 92, 68, 98, 78, 108, 88, 118, 84, 114, 74, 104, 64, 94, 71, 101, 81, 111, 86, 116, 76, 106, 66, 96)
	L = (1, 64)(2, 65)(3, 71)(4, 62)(5, 67)(6, 74)(7, 61)(8, 72)(9, 75)(10, 81)(11, 68)(12, 73)(13, 63)(14, 69)(15, 77)(16, 84)(17, 66)(18, 82)(19, 85)(20, 86)(21, 78)(22, 83)(23, 70)(24, 79)(25, 87)(26, 88)(27, 76)(28, 89)(29, 90)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 E24.490
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, Y1^2 * Y3^-1, (Y1^-1, Y2^-1), (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-3 * Y1 * Y2^-3, Y2^-1 * Y1 * Y2^-5, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 7, 37, 5, 35)(3, 33, 8, 38, 11, 41, 13, 43, 12, 42)(6, 36, 9, 39, 14, 44, 17, 47, 15, 45)(10, 40, 18, 48, 21, 51, 23, 53, 22, 52)(16, 46, 19, 49, 24, 54, 27, 57, 25, 55)(20, 50, 28, 58, 29, 59, 30, 60, 26, 56)(61, 91, 63, 93, 70, 100, 80, 110, 79, 109, 69, 99, 62, 92, 68, 98, 78, 108, 88, 118, 84, 114, 74, 104, 64, 94, 71, 101, 81, 111, 89, 119, 87, 117, 77, 107, 67, 97, 73, 103, 83, 113, 90, 120, 85, 115, 75, 105, 65, 95, 72, 102, 82, 112, 86, 116, 76, 106, 66, 96)
	L = (1, 64)(2, 67)(3, 71)(4, 65)(5, 62)(6, 74)(7, 61)(8, 73)(9, 77)(10, 81)(11, 72)(12, 68)(13, 63)(14, 75)(15, 69)(16, 84)(17, 66)(18, 83)(19, 87)(20, 89)(21, 82)(22, 78)(23, 70)(24, 85)(25, 79)(26, 88)(27, 76)(28, 90)(29, 86)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.489
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y1 * Y3^-2, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-2 * Y3 * Y1 * Y2^2, Y2^-2 * Y1^-1 * Y2^-4, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 5, 35)(3, 33, 8, 38, 13, 43, 11, 41, 12, 42)(6, 36, 9, 39, 17, 47, 14, 44, 15, 45)(10, 40, 18, 48, 23, 53, 21, 51, 22, 52)(16, 46, 19, 49, 27, 57, 24, 54, 25, 55)(20, 50, 26, 56, 28, 58, 29, 59, 30, 60)(61, 91, 63, 93, 70, 100, 80, 110, 85, 115, 75, 105, 65, 95, 72, 102, 82, 112, 90, 120, 84, 114, 74, 104, 64, 94, 71, 101, 81, 111, 89, 119, 87, 117, 77, 107, 67, 97, 73, 103, 83, 113, 88, 118, 79, 109, 69, 99, 62, 92, 68, 98, 78, 108, 86, 116, 76, 106, 66, 96)
	L = (1, 64)(2, 65)(3, 71)(4, 62)(5, 67)(6, 74)(7, 61)(8, 72)(9, 75)(10, 81)(11, 68)(12, 73)(13, 63)(14, 69)(15, 77)(16, 84)(17, 66)(18, 82)(19, 85)(20, 89)(21, 78)(22, 83)(23, 70)(24, 79)(25, 87)(26, 90)(27, 76)(28, 80)(29, 86)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 selfdual
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-5, (Y3^-1 * Y1^-1)^5, (Y3 * Y2 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 30, 60, 19, 49)(13, 43, 17, 47, 25, 55, 28, 58, 22, 52)(18, 48, 26, 56, 23, 53, 27, 57, 29, 59)(61, 91, 63, 93, 69, 99, 78, 108, 88, 118, 81, 111, 71, 101, 80, 110, 90, 120, 87, 117, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 86, 116, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 89, 119, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 83, 113, 73, 103, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 84)(17, 85)(18, 86)(19, 69)(20, 70)(21, 72)(22, 73)(23, 87)(24, 90)(25, 88)(26, 83)(27, 89)(28, 82)(29, 78)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 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 E24.487
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y1 * Y3^-2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^-2 * Y3^-1 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2^-5, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 5, 35)(3, 33, 8, 38, 13, 43, 11, 41, 12, 42)(6, 36, 9, 39, 17, 47, 14, 44, 15, 45)(10, 40, 18, 48, 23, 53, 21, 51, 22, 52)(16, 46, 19, 49, 27, 57, 24, 54, 25, 55)(20, 50, 28, 58, 30, 60, 29, 59, 26, 56)(61, 91, 63, 93, 70, 100, 80, 110, 79, 109, 69, 99, 62, 92, 68, 98, 78, 108, 88, 118, 87, 117, 77, 107, 67, 97, 73, 103, 83, 113, 90, 120, 84, 114, 74, 104, 64, 94, 71, 101, 81, 111, 89, 119, 85, 115, 75, 105, 65, 95, 72, 102, 82, 112, 86, 116, 76, 106, 66, 96)
	L = (1, 64)(2, 65)(3, 71)(4, 62)(5, 67)(6, 74)(7, 61)(8, 72)(9, 75)(10, 81)(11, 68)(12, 73)(13, 63)(14, 69)(15, 77)(16, 84)(17, 66)(18, 82)(19, 85)(20, 89)(21, 78)(22, 83)(23, 70)(24, 79)(25, 87)(26, 90)(27, 76)(28, 86)(29, 88)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.486
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3), Y1 * Y2^-2 * Y3^-1 * Y1 * Y2^2, Y2^-2 * Y1^-1 * Y2^-4, (Y2^-3 * Y3)^2, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 7, 37, 5, 35)(3, 33, 8, 38, 11, 41, 13, 43, 12, 42)(6, 36, 9, 39, 14, 44, 17, 47, 15, 45)(10, 40, 18, 48, 21, 51, 23, 53, 22, 52)(16, 46, 19, 49, 24, 54, 27, 57, 25, 55)(20, 50, 26, 56, 28, 58, 30, 60, 29, 59)(61, 91, 63, 93, 70, 100, 80, 110, 85, 115, 75, 105, 65, 95, 72, 102, 82, 112, 89, 119, 87, 117, 77, 107, 67, 97, 73, 103, 83, 113, 90, 120, 84, 114, 74, 104, 64, 94, 71, 101, 81, 111, 88, 118, 79, 109, 69, 99, 62, 92, 68, 98, 78, 108, 86, 116, 76, 106, 66, 96)
	L = (1, 64)(2, 67)(3, 71)(4, 65)(5, 62)(6, 74)(7, 61)(8, 73)(9, 77)(10, 81)(11, 72)(12, 68)(13, 63)(14, 75)(15, 69)(16, 84)(17, 66)(18, 83)(19, 87)(20, 88)(21, 82)(22, 78)(23, 70)(24, 85)(25, 79)(26, 90)(27, 76)(28, 89)(29, 86)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.484
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^-5, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^6, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 28, 58, 19, 49)(13, 43, 17, 47, 25, 55, 29, 59, 22, 52)(18, 48, 26, 56, 30, 60, 23, 53, 27, 57)(61, 91, 63, 93, 69, 99, 78, 108, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 90, 120, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 87, 117, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 86, 116, 89, 119, 81, 111, 71, 101, 80, 110, 88, 118, 83, 113, 73, 103, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 84)(17, 85)(18, 86)(19, 69)(20, 70)(21, 72)(22, 73)(23, 87)(24, 88)(25, 89)(26, 90)(27, 78)(28, 79)(29, 82)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.485
Graph:: bipartite
	v = 7 e = 60 f = 7
	degree seq :: [ 10^6, 60 ]

E24.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 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 * Y3^-1, (Y2^-1, Y1^-1), (R * Y2)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, (Y3, Y2^-1), (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y3 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y3^3 * Y1, Y2^23 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 13, 43, 4, 34, 10, 40, 24, 54, 20, 50, 29, 59, 17, 47, 28, 58, 16, 46, 6, 36, 11, 41, 25, 55, 15, 45, 3, 33, 9, 39, 23, 53, 21, 51, 30, 60, 14, 44, 27, 57, 19, 49, 7, 37, 12, 42, 26, 56, 18, 48, 5, 35)(61, 91, 63, 93, 73, 103, 90, 120, 80, 110, 67, 97, 76, 106, 65, 95, 75, 105, 82, 112, 81, 111, 84, 114, 79, 109, 88, 118, 78, 108, 85, 115, 68, 98, 83, 113, 70, 100, 87, 117, 77, 107, 86, 116, 71, 101, 62, 92, 69, 99, 64, 94, 74, 104, 89, 119, 72, 102, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 73)(6, 69)(7, 61)(8, 84)(9, 87)(10, 88)(11, 83)(12, 62)(13, 89)(14, 86)(15, 90)(16, 63)(17, 85)(18, 82)(19, 65)(20, 66)(21, 67)(22, 80)(23, 79)(24, 76)(25, 81)(26, 68)(27, 78)(28, 75)(29, 71)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E24.479
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1), (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y3^-2 * Y2^3, Y2^2 * Y3^2 * Y1, (Y3 * Y2 * Y1^-1)^2, Y3^10, Y3^10, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 ]
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, 23, 53, 28, 58)(13, 43, 22, 52, 27, 57)(15, 45, 24, 54, 29, 59)(16, 46, 21, 51, 26, 56)(18, 48, 25, 55, 30, 60)(61, 91, 63, 93, 72, 102, 76, 106, 79, 109, 65, 95, 74, 104, 88, 118, 86, 116, 70, 100, 62, 92, 68, 98, 83, 113, 81, 111, 66, 96)(64, 94, 73, 103, 80, 110, 89, 119, 90, 120, 77, 107, 87, 117, 71, 101, 84, 114, 85, 115, 69, 99, 82, 112, 67, 97, 75, 105, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 82)(9, 81)(10, 85)(11, 62)(12, 80)(13, 79)(14, 87)(15, 63)(16, 89)(17, 86)(18, 72)(19, 90)(20, 65)(21, 75)(22, 66)(23, 67)(24, 68)(25, 83)(26, 84)(27, 70)(28, 71)(29, 74)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^6 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E24.516
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 6^10, 30^2 ]

E24.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y2)^2, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3, Y1^-1), Y2^-3 * Y3^2, Y3^-2 * Y2^-2 * Y1, Y3^10, Y3^10 ]
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, 23, 53)(13, 43, 25, 55, 22, 52)(15, 45, 26, 56, 29, 59)(16, 46, 27, 57, 21, 51)(18, 48, 28, 58, 30, 60)(61, 91, 63, 93, 72, 102, 76, 106, 70, 100, 62, 92, 68, 98, 84, 114, 87, 117, 79, 109, 65, 95, 74, 104, 83, 113, 81, 111, 66, 96)(64, 94, 73, 103, 71, 101, 86, 116, 88, 118, 69, 99, 85, 115, 80, 110, 89, 119, 90, 120, 77, 107, 82, 112, 67, 97, 75, 105, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 85)(9, 87)(10, 88)(11, 62)(12, 71)(13, 70)(14, 82)(15, 63)(16, 86)(17, 81)(18, 72)(19, 90)(20, 65)(21, 75)(22, 66)(23, 67)(24, 80)(25, 79)(26, 68)(27, 89)(28, 84)(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) :: { ( 60^6 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E24.517
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 6^10, 30^2 ]

E24.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3, Y1^-1), (Y3, Y2^-1), Y2^-1 * Y3^2 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y1, (R * Y1)^2, (R * Y2)^2, Y2^5 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^2 * Y1, Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-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, 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, 82, 112, 70, 100, 62, 92, 68, 98, 80, 110, 87, 117, 76, 106, 65, 95, 74, 104, 85, 115, 78, 108, 66, 96)(64, 94, 73, 103, 84, 114, 88, 118, 77, 107, 69, 99, 81, 111, 89, 119, 79, 109, 67, 97, 75, 105, 86, 116, 90, 120, 83, 113, 71, 101)
	L = (1, 64)(2, 69)(3, 73)(4, 68)(5, 75)(6, 71)(7, 61)(8, 81)(9, 74)(10, 77)(11, 62)(12, 84)(13, 80)(14, 86)(15, 63)(16, 67)(17, 65)(18, 83)(19, 66)(20, 89)(21, 85)(22, 88)(23, 70)(24, 87)(25, 90)(26, 72)(27, 79)(28, 76)(29, 78)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^6 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E24.518
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 6^10, 30^2 ]

E24.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y1^-1), Y1^-1 * Y3^-2 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (Y3, Y1), Y2 * Y3 * Y1 * Y3, (R * Y3)^2, Y2^5 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^-2 * Y1 * Y3^-1, Y2^-3 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2, (Y3 * Y2^-1)^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, 16, 46)(7, 37, 11, 41, 13, 43)(12, 42, 20, 50, 25, 55)(15, 45, 21, 51, 24, 54)(18, 48, 22, 52, 27, 57)(19, 49, 23, 53, 28, 58)(26, 56, 29, 59, 30, 60)(61, 91, 63, 93, 72, 102, 83, 113, 70, 100, 62, 92, 68, 98, 80, 110, 88, 118, 76, 106, 65, 95, 74, 104, 85, 115, 79, 109, 66, 96)(64, 94, 73, 103, 84, 114, 90, 120, 82, 112, 69, 99, 67, 97, 75, 105, 86, 116, 87, 117, 77, 107, 71, 101, 81, 111, 89, 119, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 67)(9, 66)(10, 82)(11, 62)(12, 84)(13, 65)(14, 71)(15, 63)(16, 87)(17, 70)(18, 88)(19, 89)(20, 75)(21, 68)(22, 79)(23, 90)(24, 74)(25, 81)(26, 72)(27, 83)(28, 86)(29, 80)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^6 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E24.519
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 6^10, 30^2 ]

E24.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), Y2^2 * Y1^-2, (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y1 * Y2 * Y3^-2 * Y2, Y3^5, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1^-1, Y1^30, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 15, 45, 26, 56, 20, 50, 7, 37, 12, 42, 16, 46, 4, 34, 10, 40, 24, 54, 22, 52, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 29, 59, 21, 51, 28, 58, 14, 44, 17, 47, 27, 57, 13, 43, 25, 55, 30, 60, 19, 49, 6, 36, 11, 41)(61, 91, 63, 93, 68, 98, 83, 113, 86, 116, 81, 111, 67, 97, 74, 104, 76, 106, 87, 117, 70, 100, 85, 115, 82, 112, 79, 109, 65, 95, 71, 101, 62, 92, 69, 99, 75, 105, 89, 119, 80, 110, 88, 118, 72, 102, 77, 107, 64, 94, 73, 103, 84, 114, 90, 120, 78, 108, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 77)(7, 61)(8, 84)(9, 85)(10, 86)(11, 87)(12, 62)(13, 89)(14, 63)(15, 82)(16, 68)(17, 69)(18, 72)(19, 74)(20, 65)(21, 66)(22, 67)(23, 90)(24, 80)(25, 81)(26, 78)(27, 83)(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 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.511
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2^2 * Y3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y3)^2, Y3^-5, Y3^5, Y1^-3 * Y3^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 15, 45, 24, 54, 20, 50, 7, 37, 12, 42, 16, 46, 4, 34, 10, 40, 22, 52, 21, 51, 18, 48, 5, 35)(3, 33, 9, 39, 17, 47, 25, 55, 30, 60, 27, 57, 14, 44, 19, 49, 6, 36, 11, 41, 23, 53, 29, 59, 28, 58, 26, 56, 13, 43)(61, 91, 63, 93, 72, 102, 79, 109, 65, 95, 73, 103, 67, 97, 74, 104, 78, 108, 86, 116, 80, 110, 87, 117, 81, 111, 88, 118, 84, 114, 90, 120, 82, 112, 89, 119, 75, 105, 85, 115, 70, 100, 83, 113, 68, 98, 77, 107, 64, 94, 71, 101, 62, 92, 69, 99, 76, 106, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 75)(5, 76)(6, 77)(7, 61)(8, 82)(9, 83)(10, 84)(11, 85)(12, 62)(13, 66)(14, 63)(15, 81)(16, 68)(17, 89)(18, 72)(19, 69)(20, 65)(21, 67)(22, 80)(23, 90)(24, 78)(25, 88)(26, 79)(27, 73)(28, 74)(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, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 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 E24.509
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (R * Y1)^2, (Y3, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^-5, Y3^-2 * Y1^3, (Y2^-1 * Y3^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 15, 45, 24, 54, 19, 49, 7, 37, 11, 41, 16, 46, 4, 34, 9, 39, 22, 52, 21, 51, 18, 48, 5, 35)(3, 33, 6, 36, 10, 40, 23, 53, 30, 60, 28, 58, 14, 44, 20, 50, 26, 56, 12, 42, 17, 47, 25, 55, 29, 59, 27, 57, 13, 43)(61, 91, 63, 93, 65, 95, 73, 103, 78, 108, 87, 117, 81, 111, 89, 119, 82, 112, 85, 115, 69, 99, 77, 107, 64, 94, 72, 102, 76, 106, 86, 116, 71, 101, 80, 110, 67, 97, 74, 104, 79, 109, 88, 118, 84, 114, 90, 120, 75, 105, 83, 113, 68, 98, 70, 100, 62, 92, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 82)(9, 84)(10, 85)(11, 62)(12, 83)(13, 86)(14, 63)(15, 81)(16, 68)(17, 90)(18, 71)(19, 65)(20, 66)(21, 67)(22, 79)(23, 89)(24, 78)(25, 88)(26, 70)(27, 80)(28, 73)(29, 74)(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, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 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 E24.508
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1), (R * Y2)^2, Y1^-3 * Y3^2, Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1^2 * Y2^2, Y3 * Y1 * Y3 * Y2^-2, Y3 * Y2 * Y3^2 * Y2 * Y1^-1, Y3^10, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 13, 43, 22, 52, 7, 37, 12, 42, 18, 48, 4, 34, 10, 40, 23, 53, 25, 55, 20, 50, 5, 35)(3, 33, 9, 39, 24, 54, 28, 58, 29, 59, 19, 49, 16, 46, 27, 57, 30, 60, 14, 44, 21, 51, 6, 36, 11, 41, 26, 56, 15, 45)(61, 91, 63, 93, 73, 103, 89, 119, 78, 108, 90, 120, 85, 115, 71, 101, 62, 92, 69, 99, 82, 112, 79, 109, 64, 94, 74, 104, 80, 110, 86, 116, 68, 98, 84, 114, 67, 97, 76, 106, 70, 100, 81, 111, 65, 95, 75, 105, 77, 107, 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, 88)(15, 90)(16, 63)(17, 85)(18, 68)(19, 75)(20, 72)(21, 89)(22, 65)(23, 82)(24, 66)(25, 67)(26, 87)(27, 69)(28, 71)(29, 86)(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, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 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 E24.512
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, (R * Y2)^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3^-1), Y3^-5, Y3^2 * Y1^-3, (Y2^-1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 26, 56, 19, 49, 7, 37, 11, 41, 15, 45, 4, 34, 10, 40, 23, 53, 21, 51, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 27, 57, 29, 59, 20, 50, 13, 43, 25, 55, 16, 46, 12, 42, 24, 54, 30, 60, 28, 58, 18, 48, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 82, 112, 74, 104, 87, 117, 86, 116, 89, 119, 79, 109, 80, 110, 67, 97, 73, 103, 71, 101, 85, 115, 75, 105, 76, 106, 64, 94, 72, 102, 70, 100, 84, 114, 83, 113, 90, 120, 81, 111, 88, 118, 77, 107, 78, 108, 65, 95, 66, 96)
	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, 81)(15, 68)(16, 82)(17, 71)(18, 85)(19, 65)(20, 66)(21, 67)(22, 90)(23, 79)(24, 89)(25, 69)(26, 77)(27, 88)(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 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.510
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (Y1^-1, Y3), (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (Y3^-1, Y2^-1), Y3^5, Y2 * Y3 * Y2 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1, Y3^2 * Y1^-3, (Y1^-1 * Y3^-1)^3, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 23, 53, 22, 52, 7, 37, 12, 42, 18, 48, 4, 34, 10, 40, 13, 43, 25, 55, 20, 50, 5, 35)(3, 33, 9, 39, 26, 56, 21, 51, 6, 36, 11, 41, 16, 46, 27, 57, 29, 59, 14, 44, 24, 54, 28, 58, 30, 60, 19, 49, 15, 45)(61, 91, 63, 93, 73, 103, 88, 118, 72, 102, 87, 117, 77, 107, 81, 111, 65, 95, 75, 105, 70, 100, 84, 114, 67, 97, 76, 106, 68, 98, 86, 116, 80, 110, 79, 109, 64, 94, 74, 104, 82, 112, 71, 101, 62, 92, 69, 99, 85, 115, 90, 120, 78, 108, 89, 119, 83, 113, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 73)(9, 84)(10, 83)(11, 75)(12, 62)(13, 82)(14, 81)(15, 89)(16, 63)(17, 85)(18, 68)(19, 87)(20, 72)(21, 90)(22, 65)(23, 80)(24, 66)(25, 67)(26, 88)(27, 69)(28, 71)(29, 86)(30, 76)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 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 E24.507
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, (Y3^-1, Y2^-1), Y2^2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3), (Y2^-1, Y1), (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1^2 * Y3^-1 * Y1^2, Y3^-4 * Y1, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 4, 34, 10, 40, 24, 54, 13, 43, 17, 47, 27, 57, 22, 52, 7, 37, 12, 42, 20, 50, 5, 35)(3, 33, 9, 39, 23, 53, 29, 59, 14, 44, 26, 56, 30, 60, 21, 51, 6, 36, 11, 41, 25, 55, 16, 46, 19, 49, 28, 58, 15, 45)(61, 91, 63, 93, 73, 103, 81, 111, 65, 95, 75, 105, 84, 114, 90, 120, 80, 110, 88, 118, 70, 100, 86, 116, 72, 102, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 78, 108, 89, 119, 82, 112, 85, 115, 68, 98, 83, 113, 87, 117, 71, 101, 62, 92, 69, 99, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 84)(9, 86)(10, 87)(11, 88)(12, 62)(13, 67)(14, 66)(15, 89)(16, 63)(17, 72)(18, 73)(19, 69)(20, 68)(21, 76)(22, 65)(23, 90)(24, 82)(25, 75)(26, 71)(27, 80)(28, 83)(29, 81)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 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 E24.515
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^-1 * Y2^2, (R * Y2)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, (Y1, Y3^-1), Y2^-1 * Y3^-1 * Y2^-1 * Y3^2, Y3^-1 * Y1 * Y3^-3, Y3 * Y1^-4, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 4, 34, 10, 40, 23, 53, 21, 51, 15, 45, 26, 56, 19, 49, 7, 37, 12, 42, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 28, 58, 13, 43, 25, 55, 30, 60, 20, 50, 27, 57, 29, 59, 18, 48, 6, 36, 11, 41, 24, 54, 14, 44)(61, 91, 63, 93, 64, 94, 73, 103, 75, 105, 87, 117, 72, 102, 71, 101, 62, 92, 69, 99, 70, 100, 85, 115, 86, 116, 89, 119, 77, 107, 84, 114, 68, 98, 82, 112, 83, 113, 90, 120, 79, 109, 78, 108, 65, 95, 74, 104, 76, 106, 88, 118, 81, 111, 80, 110, 67, 97, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 63)(7, 61)(8, 83)(9, 85)(10, 86)(11, 69)(12, 62)(13, 87)(14, 88)(15, 72)(16, 81)(17, 68)(18, 74)(19, 65)(20, 66)(21, 67)(22, 90)(23, 79)(24, 82)(25, 89)(26, 77)(27, 71)(28, 80)(29, 84)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 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 E24.514
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1, (Y1, Y3^-1), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-4 * Y1, Y1^-1 * Y3 * Y1^-3, (Y1^-1 * Y3^-1)^3, Y1^2 * Y2 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 15, 45, 4, 34, 10, 40, 23, 53, 21, 51, 14, 44, 26, 56, 19, 49, 7, 37, 11, 41, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 16, 46, 12, 42, 24, 54, 30, 60, 28, 58, 27, 57, 29, 59, 20, 50, 13, 43, 25, 55, 18, 48, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 82, 112, 75, 105, 76, 106, 64, 94, 72, 102, 70, 100, 84, 114, 83, 113, 90, 120, 81, 111, 88, 118, 74, 104, 87, 117, 86, 116, 89, 119, 79, 109, 80, 110, 67, 97, 73, 103, 71, 101, 85, 115, 77, 107, 78, 108, 65, 95, 66, 96)
	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, 71)(15, 81)(16, 88)(17, 68)(18, 82)(19, 65)(20, 66)(21, 67)(22, 90)(23, 79)(24, 89)(25, 69)(26, 77)(27, 85)(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 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.513
Graph:: bipartite
	v = 3 e = 60 f = 11
	degree seq :: [ 30^2, 60 ]

E24.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y1, Y3), (Y1, Y2), (Y2^-1, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^5, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y1^-4, Y3^2 * Y2 * Y3 * Y1^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 15, 45, 17, 47, 4, 34, 10, 40, 25, 55, 14, 44, 3, 33, 9, 39, 16, 46, 28, 58, 22, 52, 30, 60, 13, 43, 27, 57, 23, 53, 20, 50, 6, 36, 11, 41, 26, 56, 21, 51, 7, 37, 12, 42, 18, 48, 29, 59, 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, 86, 116)(70, 100, 87, 117, 89, 119)(72, 102, 77, 107, 90, 120)(79, 109, 85, 115, 83, 113)(81, 111, 84, 114, 88, 118)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 85)(9, 87)(10, 88)(11, 89)(12, 62)(13, 86)(14, 90)(15, 63)(16, 83)(17, 69)(18, 68)(19, 75)(20, 72)(21, 65)(22, 66)(23, 67)(24, 74)(25, 82)(26, 79)(27, 81)(28, 80)(29, 84)(30, 71)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.503
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2), Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1, Y3^-1 * Y2^-1 * Y1^-2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y1 * Y2 * Y3^-2 * Y1 * Y3^-2, Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y1^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 27, 57, 28, 58, 16, 46, 23, 53, 18, 48, 14, 44, 3, 33, 9, 39, 7, 37, 12, 42, 21, 51, 30, 60, 25, 55, 17, 47, 4, 34, 10, 40, 6, 36, 11, 41, 15, 45, 22, 52, 19, 49, 24, 54, 29, 59, 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, 89, 119)(77, 107, 86, 116, 83, 113)(79, 109, 87, 117, 81, 111)(84, 114, 88, 118, 90, 120)
	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, 79)(17, 88)(18, 89)(19, 67)(20, 71)(21, 68)(22, 69)(23, 84)(24, 72)(25, 87)(26, 90)(27, 75)(28, 82)(29, 81)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 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 E24.500
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2^-1), Y3 * Y1^-1 * Y2 * Y1^-1, (Y2, Y1^-1), Y3 * Y2 * Y1^-2, (R * Y2)^2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^5, Y3 * Y2^-1 * Y3 * Y1 * Y3^2 * Y1, Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y2, Y2 * Y3 * Y1^28, (Y3^-1 * Y1^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 26, 56, 29, 59, 19, 49, 24, 54, 13, 43, 17, 47, 6, 36, 11, 41, 4, 34, 10, 40, 21, 51, 30, 60, 28, 58, 18, 48, 7, 37, 12, 42, 3, 33, 9, 39, 15, 45, 23, 53, 14, 44, 22, 52, 25, 55, 27, 57, 16, 46, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 68, 98, 75, 105)(65, 95, 72, 102, 77, 107)(67, 97, 73, 103, 76, 106)(70, 100, 80, 110, 83, 113)(74, 104, 81, 111, 86, 116)(78, 108, 84, 114, 87, 117)(79, 109, 85, 115, 88, 118)(82, 112, 90, 120, 89, 119)
	L = (1, 64)(2, 70)(3, 68)(4, 74)(5, 71)(6, 75)(7, 61)(8, 81)(9, 80)(10, 82)(11, 83)(12, 62)(13, 63)(14, 79)(15, 86)(16, 66)(17, 69)(18, 65)(19, 67)(20, 90)(21, 85)(22, 84)(23, 89)(24, 72)(25, 73)(26, 88)(27, 77)(28, 76)(29, 78)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 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 E24.499
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3, Y2^-1), (R * Y2)^2, (Y2, Y1), (R * Y1)^2, (Y1, Y3), (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-2, Y3^5, Y2^-1 * Y1^-2 * Y2^-1 * Y3^2, Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 22, 52, 17, 47, 4, 34, 10, 40, 26, 56, 20, 50, 6, 36, 11, 41, 16, 46, 29, 59, 15, 45, 28, 58, 18, 48, 30, 60, 23, 53, 14, 44, 3, 33, 9, 39, 25, 55, 21, 51, 7, 37, 12, 42, 13, 43, 27, 57, 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, 85, 115, 76, 106)(70, 100, 87, 117, 90, 120)(72, 102, 88, 118, 77, 107)(79, 109, 83, 113, 86, 116)(81, 111, 89, 119, 84, 114)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 86)(9, 87)(10, 89)(11, 90)(12, 62)(13, 68)(14, 72)(15, 63)(16, 83)(17, 71)(18, 85)(19, 82)(20, 88)(21, 65)(22, 66)(23, 67)(24, 80)(25, 79)(26, 75)(27, 84)(28, 69)(29, 74)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.502
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2), Y1^-2 * Y2^-1 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^5, Y3 * Y2 * Y3 * Y1 * Y3^2 * Y1, Y2^-1 * Y3 * Y1^28, (Y3^-1 * Y1^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 25, 55, 28, 58, 19, 49, 24, 54, 18, 48, 14, 44, 3, 33, 9, 39, 4, 34, 10, 40, 21, 51, 30, 60, 27, 57, 17, 47, 7, 37, 12, 42, 6, 36, 11, 41, 13, 43, 22, 52, 16, 46, 23, 53, 29, 59, 26, 56, 15, 45, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 68, 98)(65, 95, 74, 104, 72, 102)(67, 97, 75, 105, 78, 108)(70, 100, 82, 112, 80, 110)(76, 106, 85, 115, 81, 111)(77, 107, 86, 116, 84, 114)(79, 109, 87, 117, 89, 119)(83, 113, 88, 118, 90, 120)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 69)(6, 68)(7, 61)(8, 81)(9, 82)(10, 83)(11, 80)(12, 62)(13, 85)(14, 71)(15, 63)(16, 79)(17, 65)(18, 66)(19, 67)(20, 90)(21, 89)(22, 88)(23, 84)(24, 72)(25, 87)(26, 74)(27, 75)(28, 77)(29, 78)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.498
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y3, Y2^-1), Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y1^-1), Y3^5, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y2, Y2 * Y3^-1 * Y1^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 29, 59, 26, 56, 14, 44, 22, 52, 13, 43, 17, 47, 6, 36, 11, 41, 7, 37, 12, 42, 21, 51, 30, 60, 27, 57, 15, 45, 4, 34, 10, 40, 3, 33, 9, 39, 18, 48, 23, 53, 19, 49, 24, 54, 25, 55, 28, 58, 16, 46, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 76, 106)(65, 95, 70, 100, 77, 107)(67, 97, 68, 98, 78, 108)(72, 102, 80, 110, 83, 113)(74, 104, 85, 115, 87, 117)(75, 105, 82, 112, 88, 118)(79, 109, 81, 111, 89, 119)(84, 114, 90, 120, 86, 116)
	L = (1, 64)(2, 70)(3, 73)(4, 74)(5, 75)(6, 76)(7, 61)(8, 63)(9, 77)(10, 82)(11, 65)(12, 62)(13, 85)(14, 79)(15, 86)(16, 87)(17, 88)(18, 66)(19, 67)(20, 69)(21, 68)(22, 84)(23, 71)(24, 72)(25, 81)(26, 83)(27, 89)(28, 90)(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) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 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 E24.501
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-2 * Y3^2, (Y3 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y3, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2 * Y3^-5, Y3^3 * Y1 * Y2^-1 * Y1, Y1^-2 * Y3^-1 * Y2 * Y1^-2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3^3 * Y2 * Y3^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 15, 45, 26, 56, 13, 43, 25, 55, 29, 59, 18, 48, 6, 36, 11, 41, 24, 54, 19, 49, 7, 37, 12, 42, 4, 34, 10, 40, 23, 53, 14, 44, 3, 33, 9, 39, 22, 52, 30, 60, 20, 50, 28, 58, 16, 46, 27, 57, 17, 47, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 76, 106)(65, 95, 74, 104, 78, 108)(67, 97, 75, 105, 80, 110)(68, 98, 82, 112, 84, 114)(70, 100, 85, 115, 87, 117)(72, 102, 86, 116, 88, 118)(77, 107, 83, 113, 89, 119)(79, 109, 81, 111, 90, 120)
	L = (1, 64)(2, 70)(3, 73)(4, 68)(5, 72)(6, 76)(7, 61)(8, 83)(9, 85)(10, 81)(11, 87)(12, 62)(13, 82)(14, 86)(15, 63)(16, 84)(17, 67)(18, 88)(19, 65)(20, 66)(21, 74)(22, 89)(23, 75)(24, 77)(25, 90)(26, 69)(27, 79)(28, 71)(29, 80)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 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 E24.506
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y1^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y2, Y3^-1), Y3^-5 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 19, 49, 22, 52, 27, 57, 28, 58, 16, 46, 17, 47, 6, 36, 9, 39, 18, 48, 21, 51, 29, 59, 30, 60, 23, 53, 24, 54, 11, 41, 12, 42, 3, 33, 8, 38, 13, 43, 20, 50, 25, 55, 26, 56, 14, 44, 15, 45, 4, 34, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 68, 98, 69, 99)(64, 94, 71, 101, 76, 106)(65, 95, 72, 102, 77, 107)(67, 97, 73, 103, 78, 108)(70, 100, 80, 110, 81, 111)(74, 104, 83, 113, 87, 117)(75, 105, 84, 114, 88, 118)(79, 109, 85, 115, 89, 119)(82, 112, 86, 116, 90, 120)
	L = (1, 64)(2, 65)(3, 71)(4, 74)(5, 75)(6, 76)(7, 61)(8, 72)(9, 77)(10, 62)(11, 83)(12, 84)(13, 63)(14, 85)(15, 86)(16, 87)(17, 88)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 89)(24, 90)(25, 73)(26, 80)(27, 79)(28, 82)(29, 78)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.505
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2^-1), Y1 * Y3^-1 * Y2 * Y1, (Y3, Y1^-1), Y3 * Y2^-1 * Y1^-2, (R * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^-4 * Y1^-2, Y3^-25 * Y2^-1, Y1^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 25, 55, 30, 60, 27, 57, 17, 47, 7, 37, 12, 42, 6, 36, 11, 41, 13, 43, 22, 52, 16, 46, 23, 53, 19, 49, 24, 54, 18, 48, 14, 44, 3, 33, 9, 39, 4, 34, 10, 40, 21, 51, 29, 59, 28, 58, 26, 56, 15, 45, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 68, 98)(65, 95, 74, 104, 72, 102)(67, 97, 75, 105, 78, 108)(70, 100, 82, 112, 80, 110)(76, 106, 85, 115, 81, 111)(77, 107, 86, 116, 84, 114)(79, 109, 87, 117, 88, 118)(83, 113, 90, 120, 89, 119)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 69)(6, 68)(7, 61)(8, 81)(9, 82)(10, 83)(11, 80)(12, 62)(13, 85)(14, 71)(15, 63)(16, 87)(17, 65)(18, 66)(19, 67)(20, 89)(21, 79)(22, 90)(23, 77)(24, 72)(25, 88)(26, 74)(27, 75)(28, 78)(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) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 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 E24.504
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y1^-1 * Y3 * Y1^-2, (Y1, Y2^-1), Y3^-1 * Y1^-1 * Y2^-2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y2^-2 * Y1^-1 * Y3^-1, Y3 * Y2 * Y1 * Y2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-2, (Y3 * Y2^-1)^3, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y3^-1 * Y2^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 21, 51, 17, 47, 24, 54, 29, 59, 27, 57, 16, 46, 23, 53, 15, 45, 3, 33, 9, 39, 20, 50, 14, 44, 6, 36, 11, 41, 22, 52, 18, 48, 25, 55, 30, 60, 28, 58, 19, 49, 26, 56, 13, 43, 7, 37, 12, 42, 5, 35)(61, 91, 63, 93, 73, 103, 87, 117, 90, 120, 81, 111, 71, 101, 62, 92, 69, 99, 67, 97, 76, 106, 88, 118, 77, 107, 82, 112, 68, 98, 80, 110, 72, 102, 83, 113, 79, 109, 84, 114, 78, 108, 64, 94, 74, 104, 65, 95, 75, 105, 86, 116, 89, 119, 85, 115, 70, 100, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 68)(6, 78)(7, 61)(8, 81)(9, 66)(10, 84)(11, 85)(12, 62)(13, 65)(14, 82)(15, 80)(16, 63)(17, 87)(18, 88)(19, 67)(20, 71)(21, 89)(22, 90)(23, 69)(24, 76)(25, 79)(26, 72)(27, 75)(28, 73)(29, 83)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E24.494
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2 * Y3, Y2^-2 * Y1 * Y3^-1, Y3 * Y2^2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2), (R * Y3)^2, Y1^-2 * Y3^-1 * Y1^-1, Y3^3 * Y2^-3, Y2^7 * Y1, Y3^10, Y2^14 * Y1^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 22, 52, 19, 49, 26, 56, 30, 60, 28, 58, 17, 47, 25, 55, 18, 48, 6, 36, 11, 41, 21, 51, 13, 43, 3, 33, 9, 39, 20, 50, 14, 44, 23, 53, 29, 59, 27, 57, 15, 45, 24, 54, 16, 46, 4, 34, 10, 40, 5, 35)(61, 91, 63, 93, 72, 102, 83, 113, 90, 120, 84, 114, 78, 108, 65, 95, 73, 103, 67, 97, 74, 104, 86, 116, 75, 105, 85, 115, 70, 100, 81, 111, 68, 98, 80, 110, 79, 109, 87, 117, 77, 107, 64, 94, 71, 101, 62, 92, 69, 99, 82, 112, 89, 119, 88, 118, 76, 106, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 75)(5, 76)(6, 77)(7, 61)(8, 65)(9, 81)(10, 84)(11, 85)(12, 62)(13, 66)(14, 63)(15, 83)(16, 87)(17, 86)(18, 88)(19, 67)(20, 73)(21, 78)(22, 68)(23, 69)(24, 89)(25, 90)(26, 72)(27, 74)(28, 79)(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) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E24.495
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y1^-2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-6 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 22, 52, 28, 58, 27, 57, 21, 51, 15, 45, 7, 37, 12, 42, 3, 33, 9, 39, 17, 47, 23, 53, 29, 59, 26, 56, 20, 50, 14, 44, 6, 36, 11, 41, 4, 34, 10, 40, 18, 48, 24, 54, 30, 60, 25, 55, 19, 49, 13, 43, 5, 35)(61, 91, 63, 93, 70, 100, 76, 106, 83, 113, 90, 120, 87, 117, 80, 110, 73, 103, 67, 97, 71, 101, 62, 92, 69, 99, 78, 108, 82, 112, 89, 119, 85, 115, 81, 111, 74, 104, 65, 95, 72, 102, 64, 94, 68, 98, 77, 107, 84, 114, 88, 118, 86, 116, 79, 109, 75, 105, 66, 96)
	L = (1, 64)(2, 70)(3, 68)(4, 69)(5, 71)(6, 72)(7, 61)(8, 78)(9, 76)(10, 77)(11, 63)(12, 62)(13, 66)(14, 67)(15, 65)(16, 84)(17, 82)(18, 83)(19, 74)(20, 75)(21, 73)(22, 90)(23, 88)(24, 89)(25, 80)(26, 81)(27, 79)(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, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E24.496
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y1^-1, (Y3^-1, Y1^-1), Y1^3 * Y3^-1, Y2^-1 * Y1^-1 * Y3^-2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), Y2^-3 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^3, Y3^8 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 21, 51, 17, 47, 6, 36, 11, 41, 22, 52, 18, 48, 25, 55, 30, 60, 28, 58, 19, 49, 26, 56, 13, 43, 23, 53, 29, 59, 27, 57, 16, 46, 24, 54, 15, 45, 3, 33, 9, 39, 20, 50, 14, 44, 7, 37, 12, 42, 5, 35)(61, 91, 63, 93, 73, 103, 82, 112, 68, 98, 80, 110, 89, 119, 85, 115, 70, 100, 67, 97, 76, 106, 88, 118, 77, 107, 65, 95, 75, 105, 86, 116, 71, 101, 62, 92, 69, 99, 83, 113, 78, 108, 64, 94, 74, 104, 87, 117, 90, 120, 81, 111, 72, 102, 84, 114, 79, 109, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 68)(6, 78)(7, 61)(8, 81)(9, 67)(10, 66)(11, 85)(12, 62)(13, 87)(14, 65)(15, 80)(16, 63)(17, 82)(18, 88)(19, 83)(20, 72)(21, 71)(22, 90)(23, 76)(24, 69)(25, 79)(26, 89)(27, 75)(28, 73)(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, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E24.497
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^8 * Y1, (Y3 * Y2^-1)^32 ]
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, 29, 61, 26, 58)(20, 52, 24, 56, 30, 62, 27, 59)(25, 57, 28, 60, 31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 91, 123, 83, 115, 75, 107, 68, 100, 74, 106, 82, 114, 90, 122, 96, 128, 94, 126, 86, 118, 78, 110, 70, 102, 77, 109, 85, 117, 93, 125, 95, 127, 88, 120, 80, 112, 72, 104, 66, 98, 71, 103, 79, 111, 87, 119, 92, 124, 84, 116, 76, 108, 69, 101)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 64, 8, 64, 8, 64, 8, 64 ), ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 64 f = 9
	degree seq :: [ 8^8, 64 ]

E24.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^8 * Y1^-1, (Y3 * Y2^-1)^32 ]
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, 29, 61, 26, 58)(20, 52, 24, 56, 30, 62, 27, 59)(25, 57, 31, 63, 32, 64, 28, 60)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 88, 120, 80, 112, 72, 104, 66, 98, 71, 103, 79, 111, 87, 119, 95, 127, 94, 126, 86, 118, 78, 110, 70, 102, 77, 109, 85, 117, 93, 125, 96, 128, 91, 123, 83, 115, 75, 107, 68, 100, 74, 106, 82, 114, 90, 122, 92, 124, 84, 116, 76, 108, 69, 101)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 64, 8, 64, 8, 64, 8, 64 ), ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 64 f = 9
	degree seq :: [ 8^8, 64 ]

E24.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y1^-1, Y2^8 * Y1 ]
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, 93, 125, 85, 117, 77, 109, 69, 101, 75, 107, 83, 115, 91, 123, 96, 128, 92, 124, 84, 116, 76, 108, 68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 88, 120, 80, 112, 72, 104, 66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 86, 118, 78, 110, 70, 102)
	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, 64, 8, 64, 8, 64, 8, 64 ), ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.523
Graph:: bipartite
	v = 9 e = 64 f = 9
	degree seq :: [ 8^8, 64 ]

E24.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y2^-2 * Y3 * Y2^2 * Y1^-2, Y2^-6 * Y1 * Y2^-2 ]
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, 31, 63, 32, 64, 30, 62)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 88, 120, 80, 112, 72, 104, 66, 98, 71, 103, 79, 111, 87, 119, 95, 127, 92, 124, 84, 116, 76, 108, 68, 100, 74, 106, 82, 114, 90, 122, 96, 128, 93, 125, 85, 117, 77, 109, 69, 101, 75, 107, 83, 115, 91, 123, 94, 126, 86, 118, 78, 110, 70, 102)
	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, 96)(26, 81)(27, 87)(28, 86)(29, 88)(30, 95)(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) :: { ( 8, 64, 8, 64, 8, 64, 8, 64 ), ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.522
Graph:: bipartite
	v = 9 e = 64 f = 9
	degree seq :: [ 8^8, 64 ]

E24.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^17, Y3^34, (Y3 * Y2^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 5, 39)(4, 38, 6, 40)(7, 41, 9, 43)(8, 42, 10, 44)(11, 45, 13, 47)(12, 46, 14, 48)(15, 49, 17, 51)(16, 50, 18, 52)(19, 53, 21, 55)(20, 54, 22, 56)(23, 57, 25, 59)(24, 58, 26, 60)(27, 61, 29, 63)(28, 62, 30, 64)(31, 65, 33, 67)(32, 66, 34, 68)(69, 103, 71, 105, 75, 109, 79, 113, 83, 117, 87, 121, 91, 125, 95, 129, 99, 133, 100, 134, 96, 130, 92, 126, 88, 122, 84, 118, 80, 114, 76, 110, 72, 106)(70, 104, 73, 107, 77, 111, 81, 115, 85, 119, 89, 123, 93, 127, 97, 131, 101, 135, 102, 136, 98, 132, 94, 128, 90, 124, 86, 120, 82, 116, 78, 112, 74, 108)
	L = (1, 72)(2, 74)(3, 69)(4, 76)(5, 70)(6, 78)(7, 71)(8, 80)(9, 73)(10, 82)(11, 75)(12, 84)(13, 77)(14, 86)(15, 79)(16, 88)(17, 81)(18, 90)(19, 83)(20, 92)(21, 85)(22, 94)(23, 87)(24, 96)(25, 89)(26, 98)(27, 91)(28, 100)(29, 93)(30, 102)(31, 95)(32, 99)(33, 97)(34, 101)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.555
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|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 * Y3^8 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 15, 49)(12, 46, 16, 50)(13, 47, 17, 51)(14, 48, 18, 52)(19, 53, 23, 57)(20, 54, 24, 58)(21, 55, 25, 59)(22, 56, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 72, 106, 79, 113, 80, 114, 87, 121, 88, 122, 95, 129, 96, 130, 98, 132, 97, 131, 90, 124, 89, 123, 82, 116, 81, 115, 74, 108, 73, 107)(70, 104, 75, 109, 76, 110, 83, 117, 84, 118, 91, 125, 92, 126, 99, 133, 100, 134, 102, 136, 101, 135, 94, 128, 93, 127, 86, 120, 85, 119, 78, 112, 77, 111)
	L = (1, 72)(2, 76)(3, 79)(4, 80)(5, 71)(6, 69)(7, 83)(8, 84)(9, 75)(10, 70)(11, 87)(12, 88)(13, 73)(14, 74)(15, 91)(16, 92)(17, 77)(18, 78)(19, 95)(20, 96)(21, 81)(22, 82)(23, 99)(24, 100)(25, 85)(26, 86)(27, 98)(28, 97)(29, 89)(30, 90)(31, 102)(32, 101)(33, 93)(34, 94)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.566
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y3^-8, (Y3 * Y2^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 15, 49)(12, 46, 16, 50)(13, 47, 17, 51)(14, 48, 18, 52)(19, 53, 23, 57)(20, 54, 24, 58)(21, 55, 25, 59)(22, 56, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 74, 108, 79, 113, 82, 116, 87, 121, 90, 124, 95, 129, 98, 132, 96, 130, 97, 131, 88, 122, 89, 123, 80, 114, 81, 115, 72, 106, 73, 107)(70, 104, 75, 109, 78, 112, 83, 117, 86, 120, 91, 125, 94, 128, 99, 133, 102, 136, 100, 134, 101, 135, 92, 126, 93, 127, 84, 118, 85, 119, 76, 110, 77, 111)
	L = (1, 72)(2, 76)(3, 73)(4, 80)(5, 81)(6, 69)(7, 77)(8, 84)(9, 85)(10, 70)(11, 71)(12, 88)(13, 89)(14, 74)(15, 75)(16, 92)(17, 93)(18, 78)(19, 79)(20, 96)(21, 97)(22, 82)(23, 83)(24, 100)(25, 101)(26, 86)(27, 87)(28, 95)(29, 98)(30, 90)(31, 91)(32, 99)(33, 102)(34, 94)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.564
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-2 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 17, 51)(12, 46, 18, 52)(13, 47, 19, 53)(14, 48, 20, 54)(15, 49, 21, 55)(16, 50, 22, 56)(23, 57, 29, 63)(24, 58, 30, 64)(25, 59, 31, 65)(26, 60, 32, 66)(27, 61, 33, 67)(28, 62, 34, 68)(69, 103, 71, 105, 79, 113, 72, 106, 80, 114, 91, 125, 82, 116, 92, 126, 96, 130, 94, 128, 95, 129, 84, 118, 93, 127, 83, 117, 74, 108, 81, 115, 73, 107)(70, 104, 75, 109, 85, 119, 76, 110, 86, 120, 97, 131, 88, 122, 98, 132, 102, 136, 100, 134, 101, 135, 90, 124, 99, 133, 89, 123, 78, 112, 87, 121, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 79)(6, 69)(7, 86)(8, 88)(9, 85)(10, 70)(11, 91)(12, 92)(13, 71)(14, 94)(15, 73)(16, 74)(17, 97)(18, 98)(19, 75)(20, 100)(21, 77)(22, 78)(23, 96)(24, 95)(25, 81)(26, 93)(27, 83)(28, 84)(29, 102)(30, 101)(31, 87)(32, 99)(33, 89)(34, 90)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.560
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3^-2 * Y2^-1 * Y3^2, Y2^-2 * Y3^5, (Y3 * Y2^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 17, 51)(12, 46, 18, 52)(13, 47, 19, 53)(14, 48, 20, 54)(15, 49, 21, 55)(16, 50, 22, 56)(23, 57, 29, 63)(24, 58, 30, 64)(25, 59, 31, 65)(26, 60, 32, 66)(27, 61, 33, 67)(28, 62, 34, 68)(69, 103, 71, 105, 79, 113, 74, 108, 81, 115, 91, 125, 84, 118, 93, 127, 94, 128, 96, 130, 95, 129, 82, 116, 92, 126, 83, 117, 72, 106, 80, 114, 73, 107)(70, 104, 75, 109, 85, 119, 78, 112, 87, 121, 97, 131, 90, 124, 99, 133, 100, 134, 102, 136, 101, 135, 88, 122, 98, 132, 89, 123, 76, 110, 86, 120, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 86)(8, 88)(9, 89)(10, 70)(11, 73)(12, 92)(13, 71)(14, 94)(15, 95)(16, 74)(17, 77)(18, 98)(19, 75)(20, 100)(21, 101)(22, 78)(23, 79)(24, 96)(25, 81)(26, 91)(27, 93)(28, 84)(29, 85)(30, 102)(31, 87)(32, 97)(33, 99)(34, 90)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.565
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2^4, Y2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 19, 53)(12, 46, 20, 54)(13, 47, 21, 55)(14, 48, 22, 56)(15, 49, 23, 57)(16, 50, 24, 58)(17, 51, 25, 59)(18, 52, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 83, 117, 72, 106, 80, 114, 95, 129, 97, 131, 82, 116, 86, 120, 96, 130, 98, 132, 85, 119, 74, 108, 81, 115, 84, 118, 73, 107)(70, 104, 75, 109, 87, 121, 91, 125, 76, 110, 88, 122, 99, 133, 101, 135, 90, 124, 94, 128, 100, 134, 102, 136, 93, 127, 78, 112, 89, 123, 92, 126, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 88)(8, 90)(9, 91)(10, 70)(11, 95)(12, 86)(13, 71)(14, 85)(15, 97)(16, 79)(17, 73)(18, 74)(19, 99)(20, 94)(21, 75)(22, 93)(23, 101)(24, 87)(25, 77)(26, 78)(27, 96)(28, 81)(29, 98)(30, 84)(31, 100)(32, 89)(33, 102)(34, 92)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.561
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3^3, Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 19, 53)(12, 46, 20, 54)(13, 47, 21, 55)(14, 48, 22, 56)(15, 49, 23, 57)(16, 50, 24, 58)(17, 51, 25, 59)(18, 52, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 85, 119, 74, 108, 81, 115, 95, 129, 98, 132, 86, 120, 82, 116, 96, 130, 97, 131, 83, 117, 72, 106, 80, 114, 84, 118, 73, 107)(70, 104, 75, 109, 87, 121, 93, 127, 78, 112, 89, 123, 99, 133, 102, 136, 94, 128, 90, 124, 100, 134, 101, 135, 91, 125, 76, 110, 88, 122, 92, 126, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 88)(8, 90)(9, 91)(10, 70)(11, 84)(12, 96)(13, 71)(14, 81)(15, 86)(16, 97)(17, 73)(18, 74)(19, 92)(20, 100)(21, 75)(22, 89)(23, 94)(24, 101)(25, 77)(26, 78)(27, 79)(28, 95)(29, 98)(30, 85)(31, 87)(32, 99)(33, 102)(34, 93)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.556
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, Y2^-1 * Y3 * Y2^-4, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 19, 53)(12, 46, 20, 54)(13, 47, 21, 55)(14, 48, 22, 56)(15, 49, 23, 57)(16, 50, 24, 58)(17, 51, 25, 59)(18, 52, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 95, 129, 83, 117, 72, 106, 80, 114, 86, 120, 97, 131, 98, 132, 82, 116, 85, 119, 74, 108, 81, 115, 96, 130, 84, 118, 73, 107)(70, 104, 75, 109, 87, 121, 99, 133, 91, 125, 76, 110, 88, 122, 94, 128, 101, 135, 102, 136, 90, 124, 93, 127, 78, 112, 89, 123, 100, 134, 92, 126, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 88)(8, 90)(9, 91)(10, 70)(11, 86)(12, 85)(13, 71)(14, 84)(15, 98)(16, 95)(17, 73)(18, 74)(19, 94)(20, 93)(21, 75)(22, 92)(23, 102)(24, 99)(25, 77)(26, 78)(27, 97)(28, 79)(29, 81)(30, 96)(31, 101)(32, 87)(33, 89)(34, 100)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.562
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2^-5, Y3^-1 * Y2^-1 * Y3^-6 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 19, 53)(12, 46, 20, 54)(13, 47, 21, 55)(14, 48, 22, 56)(15, 49, 23, 57)(16, 50, 24, 58)(17, 51, 25, 59)(18, 52, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 95, 129, 85, 119, 74, 108, 81, 115, 82, 116, 97, 131, 98, 132, 86, 120, 83, 117, 72, 106, 80, 114, 96, 130, 84, 118, 73, 107)(70, 104, 75, 109, 87, 121, 99, 133, 93, 127, 78, 112, 89, 123, 90, 124, 101, 135, 102, 136, 94, 128, 91, 125, 76, 110, 88, 122, 100, 134, 92, 126, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 88)(8, 90)(9, 91)(10, 70)(11, 96)(12, 97)(13, 71)(14, 79)(15, 81)(16, 86)(17, 73)(18, 74)(19, 100)(20, 101)(21, 75)(22, 87)(23, 89)(24, 94)(25, 77)(26, 78)(27, 84)(28, 98)(29, 95)(30, 85)(31, 92)(32, 102)(33, 99)(34, 93)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.567
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^-1 * Y3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2^2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 17, 51)(12, 46, 18, 52)(13, 47, 19, 53)(14, 48, 20, 54)(15, 49, 21, 55)(16, 50, 22, 56)(23, 57, 29, 63)(24, 58, 30, 64)(25, 59, 31, 65)(26, 60, 32, 66)(27, 61, 33, 67)(28, 62, 34, 68)(69, 103, 71, 105, 79, 113, 91, 125, 94, 128, 82, 116, 72, 106, 80, 114, 92, 126, 96, 130, 84, 118, 74, 108, 81, 115, 93, 127, 95, 129, 83, 117, 73, 107)(70, 104, 75, 109, 85, 119, 97, 131, 100, 134, 88, 122, 76, 110, 86, 120, 98, 132, 102, 136, 90, 124, 78, 112, 87, 121, 99, 133, 101, 135, 89, 123, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 81)(5, 82)(6, 69)(7, 86)(8, 87)(9, 88)(10, 70)(11, 92)(12, 93)(13, 71)(14, 74)(15, 94)(16, 73)(17, 98)(18, 99)(19, 75)(20, 78)(21, 100)(22, 77)(23, 96)(24, 95)(25, 79)(26, 84)(27, 91)(28, 83)(29, 102)(30, 101)(31, 85)(32, 90)(33, 97)(34, 89)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.554
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-2, (Y2^-1, Y3), (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 17, 51)(12, 46, 18, 52)(13, 47, 19, 53)(14, 48, 20, 54)(15, 49, 21, 55)(16, 50, 22, 56)(23, 57, 29, 63)(24, 58, 30, 64)(25, 59, 31, 65)(26, 60, 32, 66)(27, 61, 33, 67)(28, 62, 34, 68)(69, 103, 71, 105, 79, 113, 91, 125, 94, 128, 82, 116, 74, 108, 81, 115, 93, 127, 95, 129, 83, 117, 72, 106, 80, 114, 92, 126, 96, 130, 84, 118, 73, 107)(70, 104, 75, 109, 85, 119, 97, 131, 100, 134, 88, 122, 78, 112, 87, 121, 99, 133, 101, 135, 89, 123, 76, 110, 86, 120, 98, 132, 102, 136, 90, 124, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 86)(8, 88)(9, 89)(10, 70)(11, 92)(12, 74)(13, 71)(14, 73)(15, 94)(16, 95)(17, 98)(18, 78)(19, 75)(20, 77)(21, 100)(22, 101)(23, 96)(24, 81)(25, 79)(26, 84)(27, 91)(28, 93)(29, 102)(30, 87)(31, 85)(32, 90)(33, 97)(34, 99)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.559
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-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^-1 * Y3 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 19, 53)(12, 46, 20, 54)(13, 47, 21, 55)(14, 48, 22, 56)(15, 49, 23, 57)(16, 50, 24, 58)(17, 51, 25, 59)(18, 52, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 86, 120, 96, 130, 98, 132, 83, 117, 72, 106, 80, 114, 85, 119, 74, 108, 81, 115, 95, 129, 97, 131, 82, 116, 84, 118, 73, 107)(70, 104, 75, 109, 87, 121, 94, 128, 100, 134, 102, 136, 91, 125, 76, 110, 88, 122, 93, 127, 78, 112, 89, 123, 99, 133, 101, 135, 90, 124, 92, 126, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 88)(8, 90)(9, 91)(10, 70)(11, 85)(12, 84)(13, 71)(14, 96)(15, 97)(16, 98)(17, 73)(18, 74)(19, 93)(20, 92)(21, 75)(22, 100)(23, 101)(24, 102)(25, 77)(26, 78)(27, 79)(28, 81)(29, 86)(30, 95)(31, 87)(32, 89)(33, 94)(34, 99)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.558
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3^4, Y3 * Y2^7 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 19, 53)(12, 46, 20, 54)(13, 47, 21, 55)(14, 48, 22, 56)(15, 49, 23, 57)(16, 50, 24, 58)(17, 51, 25, 59)(18, 52, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 82, 116, 96, 130, 98, 132, 85, 119, 74, 108, 81, 115, 83, 117, 72, 106, 80, 114, 95, 129, 97, 131, 86, 120, 84, 118, 73, 107)(70, 104, 75, 109, 87, 121, 90, 124, 100, 134, 102, 136, 93, 127, 78, 112, 89, 123, 91, 125, 76, 110, 88, 122, 99, 133, 101, 135, 94, 128, 92, 126, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 82)(5, 83)(6, 69)(7, 88)(8, 90)(9, 91)(10, 70)(11, 95)(12, 96)(13, 71)(14, 97)(15, 79)(16, 81)(17, 73)(18, 74)(19, 99)(20, 100)(21, 75)(22, 101)(23, 87)(24, 89)(25, 77)(26, 78)(27, 98)(28, 86)(29, 85)(30, 84)(31, 102)(32, 94)(33, 93)(34, 92)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.563
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^8 * Y3^-1, (Y3 * Y2^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 15, 49)(12, 46, 16, 50)(13, 47, 17, 51)(14, 48, 18, 52)(19, 53, 23, 57)(20, 54, 24, 58)(21, 55, 25, 59)(22, 56, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 87, 121, 95, 129, 97, 131, 89, 123, 81, 115, 72, 106, 74, 108, 80, 114, 88, 122, 96, 130, 98, 132, 90, 124, 82, 116, 73, 107)(70, 104, 75, 109, 83, 117, 91, 125, 99, 133, 101, 135, 93, 127, 85, 119, 76, 110, 78, 112, 84, 118, 92, 126, 100, 134, 102, 136, 94, 128, 86, 120, 77, 111)
	L = (1, 72)(2, 76)(3, 74)(4, 73)(5, 81)(6, 69)(7, 78)(8, 77)(9, 85)(10, 70)(11, 80)(12, 71)(13, 82)(14, 89)(15, 84)(16, 75)(17, 86)(18, 93)(19, 88)(20, 79)(21, 90)(22, 97)(23, 92)(24, 83)(25, 94)(26, 101)(27, 96)(28, 87)(29, 98)(30, 95)(31, 100)(32, 91)(33, 102)(34, 99)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.557
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^-8 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 35, 2, 36)(3, 37, 7, 41)(4, 38, 8, 42)(5, 39, 9, 43)(6, 40, 10, 44)(11, 45, 15, 49)(12, 46, 16, 50)(13, 47, 17, 51)(14, 48, 18, 52)(19, 53, 23, 57)(20, 54, 24, 58)(21, 55, 25, 59)(22, 56, 26, 60)(27, 61, 31, 65)(28, 62, 32, 66)(29, 63, 33, 67)(30, 64, 34, 68)(69, 103, 71, 105, 79, 113, 87, 121, 95, 129, 98, 132, 90, 124, 82, 116, 74, 108, 72, 106, 80, 114, 88, 122, 96, 130, 97, 131, 89, 123, 81, 115, 73, 107)(70, 104, 75, 109, 83, 117, 91, 125, 99, 133, 102, 136, 94, 128, 86, 120, 78, 112, 76, 110, 84, 118, 92, 126, 100, 134, 101, 135, 93, 127, 85, 119, 77, 111)
	L = (1, 72)(2, 76)(3, 80)(4, 71)(5, 74)(6, 69)(7, 84)(8, 75)(9, 78)(10, 70)(11, 88)(12, 79)(13, 82)(14, 73)(15, 92)(16, 83)(17, 86)(18, 77)(19, 96)(20, 87)(21, 90)(22, 81)(23, 100)(24, 91)(25, 94)(26, 85)(27, 97)(28, 95)(29, 98)(30, 89)(31, 101)(32, 99)(33, 102)(34, 93)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68, 34, 68 ), ( 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.553
Graph:: bipartite
	v = 19 e = 68 f = 3
	degree seq :: [ 4^17, 34^2 ]

E24.539 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, (Y2, Y1), (Y1^-1 * Y3^-1)^2, (Y3^-1, Y2), (R * Y1)^2, Y2^-3 * Y1^-1, (R * Y3)^2, (Y3, Y1), (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1^-4 * Y3, Y3^-1 * Y1 * Y3^-1 * Y2^-2 * Y3^-2, Y3^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3^2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 21, 55, 30, 64, 13, 47, 6, 40, 11, 45, 23, 57, 31, 65, 15, 49, 3, 37, 9, 43, 22, 56, 34, 68, 17, 51, 5, 39)(4, 38, 10, 44, 7, 41, 12, 46, 24, 58, 29, 63, 19, 53, 27, 61, 20, 54, 28, 62, 32, 66, 14, 48, 25, 59, 16, 50, 26, 60, 33, 67, 18, 52)(69, 103, 71, 105, 81, 115, 73, 107, 83, 117, 98, 132, 85, 119, 99, 133, 89, 123, 102, 136, 91, 125, 76, 110, 90, 124, 79, 113, 70, 104, 77, 111, 74, 108)(72, 106, 82, 116, 97, 131, 86, 120, 100, 134, 92, 126, 101, 135, 96, 130, 80, 114, 94, 128, 88, 122, 75, 109, 84, 118, 95, 129, 78, 112, 93, 127, 87, 121)
	L = (1, 72)(2, 78)(3, 82)(4, 85)(5, 86)(6, 87)(7, 69)(8, 75)(9, 93)(10, 73)(11, 95)(12, 70)(13, 97)(14, 99)(15, 100)(16, 71)(17, 101)(18, 102)(19, 98)(20, 74)(21, 80)(22, 84)(23, 88)(24, 76)(25, 83)(26, 77)(27, 81)(28, 79)(29, 89)(30, 92)(31, 96)(32, 91)(33, 90)(34, 94)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.549
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y2, (Y3^-1, Y1^-1), (Y2, Y3), Y1^2 * Y3^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y3^-2 * Y2 * Y3^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^4, Y3^-2 * Y2^-1 * Y1^2 * Y3^-2, (Y2^-1 * Y3)^34 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 21, 55, 29, 63, 14, 48, 3, 37, 9, 43, 22, 56, 33, 67, 19, 53, 6, 40, 11, 45, 23, 57, 32, 66, 16, 50, 5, 39)(4, 38, 10, 44, 7, 41, 12, 46, 24, 58, 30, 64, 13, 47, 25, 59, 15, 49, 26, 60, 34, 68, 18, 52, 27, 61, 20, 54, 28, 62, 31, 65, 17, 51)(69, 103, 71, 105, 79, 113, 70, 104, 77, 111, 91, 125, 76, 110, 90, 124, 100, 134, 89, 123, 101, 135, 84, 118, 97, 131, 87, 121, 73, 107, 82, 116, 74, 108)(72, 106, 81, 115, 95, 129, 78, 112, 93, 127, 88, 122, 75, 109, 83, 117, 96, 130, 80, 114, 94, 128, 99, 133, 92, 126, 102, 136, 85, 119, 98, 132, 86, 120)
	L = (1, 72)(2, 78)(3, 81)(4, 84)(5, 85)(6, 86)(7, 69)(8, 75)(9, 93)(10, 73)(11, 95)(12, 70)(13, 97)(14, 98)(15, 71)(16, 99)(17, 100)(18, 101)(19, 102)(20, 74)(21, 80)(22, 83)(23, 88)(24, 76)(25, 82)(26, 77)(27, 87)(28, 79)(29, 92)(30, 89)(31, 91)(32, 96)(33, 94)(34, 90)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.550
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (Y3 * Y1)^2, (R * Y2)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y3^-1), Y3^-2 * Y1^-2, Y3^-2 * Y1 * Y2^-2, Y2^-5 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3, Y2^2 * Y3^-1 * Y2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 13, 47, 25, 59, 32, 66, 20, 54, 6, 40, 11, 45, 15, 49, 3, 37, 9, 43, 23, 57, 29, 63, 21, 55, 17, 51, 5, 39)(4, 38, 10, 44, 7, 41, 12, 46, 24, 58, 30, 64, 33, 67, 19, 53, 28, 62, 22, 56, 14, 48, 26, 60, 16, 50, 27, 61, 34, 68, 31, 65, 18, 52)(69, 103, 71, 105, 81, 115, 97, 131, 88, 122, 73, 107, 83, 117, 76, 110, 91, 125, 100, 134, 85, 119, 79, 113, 70, 104, 77, 111, 93, 127, 89, 123, 74, 108)(72, 106, 82, 116, 80, 114, 95, 129, 101, 135, 86, 120, 90, 124, 75, 109, 84, 118, 98, 132, 99, 133, 96, 130, 78, 112, 94, 128, 92, 126, 102, 136, 87, 121)
	L = (1, 72)(2, 78)(3, 82)(4, 85)(5, 86)(6, 87)(7, 69)(8, 75)(9, 94)(10, 73)(11, 96)(12, 70)(13, 80)(14, 79)(15, 90)(16, 71)(17, 99)(18, 89)(19, 100)(20, 101)(21, 102)(22, 74)(23, 84)(24, 76)(25, 92)(26, 83)(27, 77)(28, 88)(29, 95)(30, 81)(31, 97)(32, 98)(33, 93)(34, 91)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.552
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, (Y2^-1, Y3), Y3^-2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y3^-2 * Y1 * Y2^2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, Y2^-5 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 35, 2, 36, 8, 42, 21, 55, 27, 61, 31, 65, 15, 49, 3, 37, 9, 43, 20, 54, 6, 40, 11, 45, 23, 57, 30, 64, 13, 47, 17, 51, 5, 39)(4, 38, 10, 44, 7, 41, 12, 46, 24, 58, 34, 68, 32, 66, 14, 48, 25, 59, 16, 50, 19, 53, 26, 60, 22, 56, 28, 62, 29, 63, 33, 67, 18, 52)(69, 103, 71, 105, 81, 115, 95, 129, 79, 113, 70, 104, 77, 111, 85, 119, 99, 133, 91, 125, 76, 110, 88, 122, 73, 107, 83, 117, 98, 132, 89, 123, 74, 108)(72, 106, 82, 116, 97, 131, 92, 126, 94, 128, 78, 112, 93, 127, 101, 135, 102, 136, 90, 124, 75, 109, 84, 118, 86, 120, 100, 134, 96, 130, 80, 114, 87, 121)
	L = (1, 72)(2, 78)(3, 82)(4, 85)(5, 86)(6, 87)(7, 69)(8, 75)(9, 93)(10, 73)(11, 94)(12, 70)(13, 97)(14, 99)(15, 100)(16, 71)(17, 101)(18, 81)(19, 77)(20, 84)(21, 80)(22, 74)(23, 90)(24, 76)(25, 83)(26, 88)(27, 92)(28, 79)(29, 91)(30, 96)(31, 102)(32, 95)(33, 98)(34, 89)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.551
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-8 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 6, 40, 9, 43, 15, 49, 17, 51, 23, 57, 25, 59, 31, 65, 27, 61, 29, 63, 19, 53, 21, 55, 11, 45, 13, 47, 3, 37, 5, 39)(4, 38, 8, 42, 7, 41, 10, 44, 16, 50, 18, 52, 24, 58, 26, 60, 32, 66, 33, 67, 34, 68, 28, 62, 30, 64, 20, 54, 22, 56, 12, 46, 14, 48)(69, 103, 71, 105, 79, 113, 87, 121, 95, 129, 93, 127, 85, 119, 77, 111, 70, 104, 73, 107, 81, 115, 89, 123, 97, 131, 99, 133, 91, 125, 83, 117, 74, 108)(72, 106, 80, 114, 88, 122, 96, 130, 101, 135, 94, 128, 86, 120, 78, 112, 76, 110, 82, 116, 90, 124, 98, 132, 102, 136, 100, 134, 92, 126, 84, 118, 75, 109)
	L = (1, 72)(2, 76)(3, 80)(4, 71)(5, 82)(6, 75)(7, 69)(8, 73)(9, 78)(10, 70)(11, 88)(12, 79)(13, 90)(14, 81)(15, 84)(16, 74)(17, 86)(18, 77)(19, 96)(20, 87)(21, 98)(22, 89)(23, 92)(24, 83)(25, 94)(26, 85)(27, 101)(28, 95)(29, 102)(30, 97)(31, 100)(32, 91)(33, 93)(34, 99)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.546
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y3^2 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), Y3 * Y2^-3 * Y3 * Y2^4, Y1 * Y2^8, (Y3 * Y2^-1)^34 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 3, 37, 8, 42, 11, 45, 17, 51, 19, 53, 25, 59, 27, 61, 32, 66, 31, 65, 24, 58, 23, 57, 16, 50, 15, 49, 6, 40, 5, 39)(4, 38, 9, 43, 7, 41, 10, 44, 12, 46, 18, 52, 20, 54, 26, 60, 28, 62, 33, 67, 34, 68, 30, 64, 29, 63, 22, 56, 21, 55, 14, 48, 13, 47)(69, 103, 71, 105, 79, 113, 87, 121, 95, 129, 99, 133, 91, 125, 83, 117, 73, 107, 70, 104, 76, 110, 85, 119, 93, 127, 100, 134, 92, 126, 84, 118, 74, 108)(72, 106, 75, 109, 80, 114, 88, 122, 96, 130, 102, 136, 97, 131, 89, 123, 81, 115, 77, 111, 78, 112, 86, 120, 94, 128, 101, 135, 98, 132, 90, 124, 82, 116)
	L = (1, 72)(2, 77)(3, 75)(4, 74)(5, 81)(6, 82)(7, 69)(8, 78)(9, 73)(10, 70)(11, 80)(12, 71)(13, 83)(14, 84)(15, 89)(16, 90)(17, 86)(18, 76)(19, 88)(20, 79)(21, 91)(22, 92)(23, 97)(24, 98)(25, 94)(26, 85)(27, 96)(28, 87)(29, 99)(30, 100)(31, 102)(32, 101)(33, 93)(34, 95)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.548
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y3)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^-2 * Y1^-2, Y2^-1 * Y1 * Y2^-3, Y3^-3 * Y2 * Y3^-1, Y3^-2 * Y1 * Y2 * Y1, (Y1^2 * Y2^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 20, 54, 6, 40, 11, 45, 23, 57, 33, 67, 21, 55, 13, 47, 24, 58, 30, 64, 15, 49, 3, 37, 9, 43, 17, 51, 5, 39)(4, 38, 10, 44, 7, 41, 12, 46, 19, 53, 26, 60, 22, 56, 27, 61, 32, 66, 28, 62, 34, 68, 29, 63, 31, 65, 14, 48, 25, 59, 16, 50, 18, 52)(69, 103, 71, 105, 81, 115, 79, 113, 70, 104, 77, 111, 92, 126, 91, 125, 76, 110, 85, 119, 98, 132, 101, 135, 88, 122, 73, 107, 83, 117, 89, 123, 74, 108)(72, 106, 82, 116, 96, 130, 94, 128, 78, 112, 93, 127, 102, 136, 90, 124, 75, 109, 84, 118, 97, 131, 95, 129, 80, 114, 86, 120, 99, 133, 100, 134, 87, 121)
	L = (1, 72)(2, 78)(3, 82)(4, 85)(5, 86)(6, 87)(7, 69)(8, 75)(9, 93)(10, 73)(11, 94)(12, 70)(13, 96)(14, 98)(15, 99)(16, 71)(17, 84)(18, 77)(19, 76)(20, 80)(21, 100)(22, 74)(23, 90)(24, 102)(25, 83)(26, 88)(27, 79)(28, 101)(29, 81)(30, 97)(31, 92)(32, 91)(33, 95)(34, 89)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.547
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.546 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-17 * Y2, (Y3 * Y2)^17, (Y3^-1 * Y1^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 5, 39, 9, 43, 13, 47, 17, 51, 21, 55, 25, 59, 29, 63, 33, 67, 31, 65, 27, 61, 23, 57, 19, 53, 15, 49, 11, 45, 7, 41, 3, 37, 6, 40, 10, 44, 14, 48, 18, 52, 22, 56, 26, 60, 30, 64, 34, 68, 32, 66, 28, 62, 24, 58, 20, 54, 16, 50, 12, 46, 8, 42, 4, 38)(69, 103, 71, 105)(70, 104, 74, 108)(72, 106, 75, 109)(73, 107, 78, 112)(76, 110, 79, 113)(77, 111, 82, 116)(80, 114, 83, 117)(81, 115, 86, 120)(84, 118, 87, 121)(85, 119, 90, 124)(88, 122, 91, 125)(89, 123, 94, 128)(92, 126, 95, 129)(93, 127, 98, 132)(96, 130, 99, 133)(97, 131, 102, 136)(100, 134, 101, 135)
	L = (1, 70)(2, 73)(3, 74)(4, 69)(5, 77)(6, 78)(7, 71)(8, 72)(9, 81)(10, 82)(11, 75)(12, 76)(13, 85)(14, 86)(15, 79)(16, 80)(17, 89)(18, 90)(19, 83)(20, 84)(21, 93)(22, 94)(23, 87)(24, 88)(25, 97)(26, 98)(27, 91)(28, 92)(29, 101)(30, 102)(31, 95)(32, 96)(33, 99)(34, 100)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.543
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.547 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1^-1, Y3^-2 * Y1^-2 * Y2 * Y1^-3, Y1^6 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 7, 41, 17, 51, 29, 63, 23, 57, 11, 45, 21, 55, 33, 67, 28, 62, 16, 50, 6, 40, 10, 44, 20, 54, 32, 66, 24, 58, 12, 46, 3, 37, 8, 42, 18, 52, 30, 64, 26, 60, 14, 48, 4, 38, 9, 43, 19, 53, 31, 65, 25, 59, 13, 47, 22, 56, 34, 68, 27, 61, 15, 49, 5, 39)(69, 103, 71, 105)(70, 104, 76, 110)(72, 106, 79, 113)(73, 107, 80, 114)(74, 108, 81, 115)(75, 109, 86, 120)(77, 111, 89, 123)(78, 112, 90, 124)(82, 116, 91, 125)(83, 117, 92, 126)(84, 118, 93, 127)(85, 119, 98, 132)(87, 121, 101, 135)(88, 122, 102, 136)(94, 128, 97, 131)(95, 129, 100, 134)(96, 130, 99, 133)
	L = (1, 72)(2, 77)(3, 79)(4, 78)(5, 82)(6, 69)(7, 87)(8, 89)(9, 88)(10, 70)(11, 90)(12, 91)(13, 71)(14, 74)(15, 94)(16, 73)(17, 99)(18, 101)(19, 100)(20, 75)(21, 102)(22, 76)(23, 81)(24, 97)(25, 80)(26, 84)(27, 98)(28, 83)(29, 93)(30, 96)(31, 92)(32, 85)(33, 95)(34, 86)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.545
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.548 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y3^-2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, Y1^2 * Y3^-1 * Y1^-2 * Y3, Y1^-3 * Y2 * Y3^-1 * Y1^-3, Y3 * Y1^-2 * Y2 * Y3 * Y1^-3, Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 7, 41, 17, 51, 29, 63, 23, 57, 13, 47, 22, 56, 34, 68, 27, 61, 15, 49, 4, 38, 9, 43, 19, 53, 31, 65, 25, 59, 12, 46, 3, 37, 8, 42, 18, 52, 30, 64, 26, 60, 14, 48, 6, 40, 10, 44, 20, 54, 32, 66, 24, 58, 11, 45, 21, 55, 33, 67, 28, 62, 16, 50, 5, 39)(69, 103, 71, 105)(70, 104, 76, 110)(72, 106, 79, 113)(73, 107, 80, 114)(74, 108, 81, 115)(75, 109, 86, 120)(77, 111, 89, 123)(78, 112, 90, 124)(82, 116, 91, 125)(83, 117, 92, 126)(84, 118, 93, 127)(85, 119, 98, 132)(87, 121, 101, 135)(88, 122, 102, 136)(94, 128, 97, 131)(95, 129, 100, 134)(96, 130, 99, 133)
	L = (1, 72)(2, 77)(3, 79)(4, 82)(5, 83)(6, 69)(7, 87)(8, 89)(9, 74)(10, 70)(11, 91)(12, 92)(13, 71)(14, 73)(15, 94)(16, 95)(17, 99)(18, 101)(19, 78)(20, 75)(21, 81)(22, 76)(23, 80)(24, 97)(25, 100)(26, 84)(27, 98)(28, 102)(29, 93)(30, 96)(31, 88)(32, 85)(33, 90)(34, 86)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.544
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1), Y2 * Y3^-1 * Y2 * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y3)^2, (R * Y2)^2, Y3^3 * Y1^-1 * Y3^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1, Y1^5 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 7, 41, 19, 53, 31, 65, 30, 64, 15, 49, 4, 38, 9, 43, 21, 55, 13, 47, 24, 58, 33, 67, 29, 63, 14, 48, 25, 59, 12, 46, 3, 37, 8, 42, 20, 54, 18, 52, 26, 60, 34, 68, 28, 62, 11, 45, 23, 57, 17, 51, 6, 40, 10, 44, 22, 56, 32, 66, 27, 61, 16, 50, 5, 39)(69, 103, 71, 105)(70, 104, 76, 110)(72, 106, 79, 113)(73, 107, 80, 114)(74, 108, 81, 115)(75, 109, 88, 122)(77, 111, 91, 125)(78, 112, 92, 126)(82, 116, 95, 129)(83, 117, 96, 130)(84, 118, 93, 127)(85, 119, 89, 123)(86, 120, 87, 121)(90, 124, 101, 135)(94, 128, 99, 133)(97, 131, 100, 134)(98, 132, 102, 136)
	L = (1, 72)(2, 77)(3, 79)(4, 82)(5, 83)(6, 69)(7, 89)(8, 91)(9, 93)(10, 70)(11, 95)(12, 96)(13, 71)(14, 94)(15, 97)(16, 98)(17, 73)(18, 74)(19, 81)(20, 85)(21, 80)(22, 75)(23, 84)(24, 76)(25, 102)(26, 78)(27, 99)(28, 100)(29, 86)(30, 101)(31, 92)(32, 87)(33, 88)(34, 90)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.539
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y1, Y3^-1 * Y1^-5, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^7 * Y1 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 7, 41, 19, 53, 17, 51, 6, 40, 10, 44, 22, 56, 32, 66, 30, 64, 18, 52, 26, 60, 11, 45, 23, 57, 33, 67, 27, 61, 12, 46, 3, 37, 8, 42, 20, 54, 31, 65, 28, 62, 13, 47, 24, 58, 14, 48, 25, 59, 34, 68, 29, 63, 15, 49, 4, 38, 9, 43, 21, 55, 16, 50, 5, 39)(69, 103, 71, 105)(70, 104, 76, 110)(72, 106, 79, 113)(73, 107, 80, 114)(74, 108, 81, 115)(75, 109, 88, 122)(77, 111, 91, 125)(78, 112, 92, 126)(82, 116, 90, 124)(83, 117, 94, 128)(84, 118, 95, 129)(85, 119, 96, 130)(86, 120, 97, 131)(87, 121, 99, 133)(89, 123, 101, 135)(93, 127, 100, 134)(98, 132, 102, 136)
	L = (1, 72)(2, 77)(3, 79)(4, 82)(5, 83)(6, 69)(7, 89)(8, 91)(9, 93)(10, 70)(11, 90)(12, 94)(13, 71)(14, 88)(15, 92)(16, 97)(17, 73)(18, 74)(19, 84)(20, 101)(21, 102)(22, 75)(23, 100)(24, 76)(25, 99)(26, 78)(27, 86)(28, 80)(29, 81)(30, 85)(31, 95)(32, 87)(33, 98)(34, 96)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.540
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y2, Y1^-2 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y2, Y2 * Y3^-3 * Y1^-1 * Y3^-5, Y3 * Y1^30 * Y3, (Y3^-1 * Y1^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 7, 41, 15, 49, 12, 46, 17, 51, 24, 58, 31, 65, 28, 62, 33, 67, 29, 63, 22, 56, 26, 60, 19, 53, 13, 47, 6, 40, 10, 44, 3, 37, 8, 42, 4, 38, 9, 43, 16, 50, 23, 57, 20, 54, 25, 59, 32, 66, 30, 64, 34, 68, 27, 61, 21, 55, 14, 48, 18, 52, 11, 45, 5, 39)(69, 103, 71, 105)(70, 104, 76, 110)(72, 106, 75, 109)(73, 107, 78, 112)(74, 108, 79, 113)(77, 111, 83, 117)(80, 114, 84, 118)(81, 115, 86, 120)(82, 116, 87, 121)(85, 119, 91, 125)(88, 122, 92, 126)(89, 123, 94, 128)(90, 124, 95, 129)(93, 127, 99, 133)(96, 130, 100, 134)(97, 131, 102, 136)(98, 132, 101, 135)
	L = (1, 72)(2, 77)(3, 75)(4, 80)(5, 76)(6, 69)(7, 84)(8, 83)(9, 85)(10, 70)(11, 71)(12, 88)(13, 73)(14, 74)(15, 91)(16, 92)(17, 93)(18, 78)(19, 79)(20, 96)(21, 81)(22, 82)(23, 99)(24, 100)(25, 101)(26, 86)(27, 87)(28, 102)(29, 89)(30, 90)(31, 98)(32, 97)(33, 95)(34, 94)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.542
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-3, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3 * Y2, Y3^6 * Y2 * Y1^-1, Y3^-2 * Y2 * Y1^-1 * Y3^-3 * Y1^-1, Y3^-2 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 7, 41, 4, 38, 9, 43, 18, 52, 14, 48, 21, 55, 30, 64, 26, 60, 33, 67, 25, 59, 32, 66, 24, 58, 13, 47, 20, 54, 12, 46, 3, 37, 8, 42, 17, 51, 11, 45, 19, 53, 29, 63, 23, 57, 31, 65, 28, 62, 34, 68, 27, 61, 16, 50, 22, 56, 15, 49, 6, 40, 10, 44, 5, 39)(69, 103, 71, 105)(70, 104, 76, 110)(72, 106, 79, 113)(73, 107, 80, 114)(74, 108, 81, 115)(75, 109, 85, 119)(77, 111, 87, 121)(78, 112, 88, 122)(82, 116, 91, 125)(83, 117, 92, 126)(84, 118, 93, 127)(86, 120, 97, 131)(89, 123, 99, 133)(90, 124, 100, 134)(94, 128, 102, 136)(95, 129, 101, 135)(96, 130, 98, 132)
	L = (1, 72)(2, 77)(3, 79)(4, 82)(5, 75)(6, 69)(7, 86)(8, 87)(9, 89)(10, 70)(11, 91)(12, 85)(13, 71)(14, 94)(15, 73)(16, 74)(17, 97)(18, 98)(19, 99)(20, 76)(21, 101)(22, 78)(23, 102)(24, 80)(25, 81)(26, 100)(27, 83)(28, 84)(29, 96)(30, 93)(31, 95)(32, 88)(33, 92)(34, 90)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.541
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2^-1 * Y1)^2, Y2^2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y2^-4, Y2^2 * Y1^15, (Y3^-1 * Y1^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 6, 40, 11, 45, 15, 49, 19, 53, 23, 57, 27, 61, 31, 65, 33, 67, 29, 63, 25, 59, 21, 55, 17, 51, 13, 47, 9, 43, 4, 38)(3, 37, 7, 41, 12, 46, 16, 50, 20, 54, 24, 58, 28, 62, 32, 66, 34, 68, 30, 64, 26, 60, 22, 56, 18, 52, 14, 48, 10, 44, 5, 39, 8, 42)(69, 103, 71, 105, 74, 108, 80, 114, 83, 117, 88, 122, 91, 125, 96, 130, 99, 133, 102, 136, 97, 131, 94, 128, 89, 123, 86, 120, 81, 115, 78, 112, 72, 106, 76, 110, 70, 104, 75, 109, 79, 113, 84, 118, 87, 121, 92, 126, 95, 129, 100, 134, 101, 135, 98, 132, 93, 127, 90, 124, 85, 119, 82, 116, 77, 111, 73, 107)
	L = (1, 70)(2, 74)(3, 75)(4, 69)(5, 76)(6, 79)(7, 80)(8, 71)(9, 72)(10, 73)(11, 83)(12, 84)(13, 77)(14, 78)(15, 87)(16, 88)(17, 81)(18, 82)(19, 91)(20, 92)(21, 85)(22, 86)(23, 95)(24, 96)(25, 89)(26, 90)(27, 99)(28, 100)(29, 93)(30, 94)(31, 101)(32, 102)(33, 97)(34, 98)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.538
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^-1 * Y2^2, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y1^4 * Y3 * Y1^4, (Y3^-1 * Y1^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 17, 51, 25, 59, 31, 65, 23, 57, 15, 49, 7, 41, 4, 38, 10, 44, 19, 53, 27, 61, 29, 63, 21, 55, 13, 47, 5, 39)(3, 37, 9, 43, 18, 52, 26, 60, 33, 67, 32, 66, 24, 58, 16, 50, 12, 46, 11, 45, 20, 54, 28, 62, 34, 68, 30, 64, 22, 56, 14, 48, 6, 40)(69, 103, 71, 105, 70, 104, 77, 111, 76, 110, 86, 120, 85, 119, 94, 128, 93, 127, 101, 135, 99, 133, 100, 134, 91, 125, 92, 126, 83, 117, 84, 118, 75, 109, 80, 114, 72, 106, 79, 113, 78, 112, 88, 122, 87, 121, 96, 130, 95, 129, 102, 136, 97, 131, 98, 132, 89, 123, 90, 124, 81, 115, 82, 116, 73, 107, 74, 108)
	L = (1, 72)(2, 78)(3, 79)(4, 70)(5, 75)(6, 80)(7, 69)(8, 87)(9, 88)(10, 76)(11, 77)(12, 71)(13, 83)(14, 84)(15, 73)(16, 74)(17, 95)(18, 96)(19, 85)(20, 86)(21, 91)(22, 92)(23, 81)(24, 82)(25, 97)(26, 102)(27, 93)(28, 94)(29, 99)(30, 100)(31, 89)(32, 90)(33, 98)(34, 101)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.533
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2, Y1 * Y2^2, (Y2^-1 * Y3)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-3 * Y2 * Y1^4, Y1^-8 * Y3 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 17, 51, 25, 59, 31, 65, 23, 57, 14, 48, 4, 38, 7, 41, 10, 44, 19, 53, 27, 61, 32, 66, 24, 58, 15, 49, 5, 39)(3, 37, 6, 40, 9, 43, 18, 52, 26, 60, 33, 67, 29, 63, 21, 55, 11, 45, 13, 47, 16, 50, 20, 54, 28, 62, 34, 68, 30, 64, 22, 56, 12, 46)(69, 103, 71, 105, 73, 107, 80, 114, 83, 117, 90, 124, 92, 126, 98, 132, 100, 134, 102, 136, 95, 129, 96, 130, 87, 121, 88, 122, 78, 112, 84, 118, 75, 109, 81, 115, 72, 106, 79, 113, 82, 116, 89, 123, 91, 125, 97, 131, 99, 133, 101, 135, 93, 127, 94, 128, 85, 119, 86, 120, 76, 110, 77, 111, 70, 104, 74, 108)
	L = (1, 72)(2, 75)(3, 79)(4, 73)(5, 82)(6, 81)(7, 69)(8, 78)(9, 84)(10, 70)(11, 80)(12, 89)(13, 71)(14, 83)(15, 91)(16, 74)(17, 87)(18, 88)(19, 76)(20, 77)(21, 90)(22, 97)(23, 92)(24, 99)(25, 95)(26, 96)(27, 85)(28, 86)(29, 98)(30, 101)(31, 100)(32, 93)(33, 102)(34, 94)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.524
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-3, Y3^-2 * Y1 * Y3^-1, Y2^2 * Y3 * Y1^-1, Y2^2 * Y3^-2, (Y3, Y2^-1), Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^2 * Y1^3, Y1^2 * Y2 * Y3 * Y1 * Y3 * Y1^2 * Y2^-1, (Y3^-1 * Y1^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 19, 53, 27, 61, 15, 49, 4, 38, 10, 44, 21, 55, 30, 64, 18, 52, 7, 41, 12, 46, 23, 57, 28, 62, 16, 50, 5, 39)(3, 37, 9, 43, 20, 54, 29, 63, 17, 51, 6, 40, 11, 45, 22, 56, 31, 65, 34, 68, 26, 60, 14, 48, 24, 58, 32, 66, 33, 67, 25, 59, 13, 47)(69, 103, 71, 105, 80, 114, 92, 126, 78, 112, 90, 124, 76, 110, 88, 122, 96, 130, 101, 135, 98, 132, 102, 136, 95, 129, 85, 119, 73, 107, 81, 115, 75, 109, 82, 116, 72, 106, 79, 113, 70, 104, 77, 111, 91, 125, 100, 134, 89, 123, 99, 133, 87, 121, 97, 131, 84, 118, 93, 127, 86, 120, 94, 128, 83, 117, 74, 108)
	L = (1, 72)(2, 78)(3, 79)(4, 80)(5, 83)(6, 82)(7, 69)(8, 89)(9, 90)(10, 91)(11, 92)(12, 70)(13, 74)(14, 71)(15, 75)(16, 95)(17, 94)(18, 73)(19, 98)(20, 99)(21, 96)(22, 100)(23, 76)(24, 77)(25, 85)(26, 81)(27, 86)(28, 87)(29, 102)(30, 84)(31, 101)(32, 88)(33, 97)(34, 93)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.530
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1, Y2^-2 * Y3^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3^-1 * Y1^-2 * Y3, Y1^2 * Y3^-2 * Y1^3, Y1 * Y2^-1 * Y1^3 * Y2^-1 * Y1, Y3 * Y2^30 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 19, 53, 26, 60, 13, 47, 7, 41, 12, 46, 23, 57, 29, 63, 17, 51, 4, 38, 10, 44, 21, 55, 30, 64, 18, 52, 5, 39)(3, 37, 9, 43, 20, 54, 31, 65, 33, 67, 25, 59, 16, 50, 24, 58, 32, 66, 34, 68, 27, 61, 14, 48, 6, 40, 11, 45, 22, 56, 28, 62, 15, 49)(69, 103, 71, 105, 81, 115, 93, 127, 85, 119, 95, 129, 86, 120, 96, 130, 87, 121, 99, 133, 91, 125, 100, 134, 89, 123, 79, 113, 70, 104, 77, 111, 75, 109, 84, 118, 72, 106, 82, 116, 73, 107, 83, 117, 94, 128, 101, 135, 97, 131, 102, 136, 98, 132, 90, 124, 76, 110, 88, 122, 80, 114, 92, 126, 78, 112, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 89)(9, 74)(10, 75)(11, 92)(12, 70)(13, 73)(14, 93)(15, 95)(16, 71)(17, 94)(18, 97)(19, 98)(20, 79)(21, 80)(22, 100)(23, 76)(24, 77)(25, 83)(26, 86)(27, 101)(28, 102)(29, 87)(30, 91)(31, 90)(32, 88)(33, 96)(34, 99)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.537
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (Y3, Y2^-1), Y3^-1 * Y2^2 * Y3^-1, (R * Y2)^2, (Y2^-1, Y1), (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^3, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y3 * Y1^4 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 20, 54, 7, 41, 12, 46, 25, 59, 33, 67, 21, 55, 13, 47, 26, 60, 31, 65, 17, 51, 4, 38, 10, 44, 18, 52, 5, 39)(3, 37, 9, 43, 23, 57, 30, 64, 16, 50, 28, 62, 32, 66, 19, 53, 6, 40, 11, 45, 24, 58, 34, 68, 22, 56, 14, 48, 27, 61, 29, 63, 15, 49)(69, 103, 71, 105, 81, 115, 79, 113, 70, 104, 77, 111, 94, 128, 92, 126, 76, 110, 91, 125, 99, 133, 102, 136, 88, 122, 98, 132, 85, 119, 90, 124, 75, 109, 84, 118, 72, 106, 82, 116, 80, 114, 96, 130, 78, 112, 95, 129, 93, 127, 100, 134, 86, 120, 97, 131, 101, 135, 87, 121, 73, 107, 83, 117, 89, 123, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 86)(9, 95)(10, 94)(11, 96)(12, 70)(13, 80)(14, 79)(15, 90)(16, 71)(17, 89)(18, 99)(19, 98)(20, 73)(21, 75)(22, 74)(23, 97)(24, 100)(25, 76)(26, 93)(27, 92)(28, 77)(29, 102)(30, 83)(31, 101)(32, 91)(33, 88)(34, 87)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.535
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (Y1^-1, Y2), Y3^2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y3^-1), Y3^4 * Y1, Y3 * Y1 * Y2 * Y3 * Y2, Y1^4 * Y3^-1, Y3^2 * Y2^32 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 17, 51, 4, 38, 10, 44, 24, 58, 29, 63, 13, 47, 21, 55, 27, 61, 34, 68, 20, 54, 7, 41, 12, 46, 18, 52, 5, 39)(3, 37, 9, 43, 23, 57, 30, 64, 14, 48, 22, 56, 28, 62, 33, 67, 19, 53, 6, 40, 11, 45, 25, 59, 32, 66, 16, 50, 26, 60, 31, 65, 15, 49)(69, 103, 71, 105, 81, 115, 87, 121, 73, 107, 83, 117, 97, 131, 101, 135, 86, 120, 99, 133, 92, 126, 96, 130, 80, 114, 94, 128, 78, 112, 90, 124, 75, 109, 84, 118, 72, 106, 82, 116, 88, 122, 100, 134, 85, 119, 98, 132, 102, 136, 93, 127, 76, 110, 91, 125, 95, 129, 79, 113, 70, 104, 77, 111, 89, 123, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 92)(9, 90)(10, 89)(11, 94)(12, 70)(13, 88)(14, 87)(15, 98)(16, 71)(17, 97)(18, 76)(19, 100)(20, 73)(21, 75)(22, 74)(23, 96)(24, 95)(25, 99)(26, 77)(27, 80)(28, 79)(29, 102)(30, 101)(31, 91)(32, 83)(33, 93)(34, 86)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.534
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y2^-1 * Y3^2 * Y2^-1, (Y3^-1, Y1^-1), (Y2^-1, Y1), (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^2, Y1 * Y3 * Y1^2 * Y3, Y3^-1 * Y1 * Y3^-4, Y3^2 * Y2 * Y3 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^2 * Y2^-1, Y1 * Y3 * Y2^28 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 21, 55, 27, 61, 33, 67, 17, 51, 4, 38, 10, 44, 20, 54, 7, 41, 12, 46, 24, 58, 29, 63, 13, 47, 18, 52, 5, 39)(3, 37, 9, 43, 19, 53, 6, 40, 11, 45, 23, 57, 30, 64, 14, 48, 25, 59, 32, 66, 16, 50, 26, 60, 34, 68, 22, 56, 28, 62, 31, 65, 15, 49)(69, 103, 71, 105, 81, 115, 96, 130, 80, 114, 94, 128, 78, 112, 93, 127, 101, 135, 91, 125, 76, 110, 87, 121, 73, 107, 83, 117, 97, 131, 90, 124, 75, 109, 84, 118, 72, 106, 82, 116, 95, 129, 79, 113, 70, 104, 77, 111, 86, 120, 99, 133, 92, 126, 102, 136, 88, 122, 100, 134, 85, 119, 98, 132, 89, 123, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 88)(9, 93)(10, 86)(11, 94)(12, 70)(13, 95)(14, 96)(15, 98)(16, 71)(17, 97)(18, 101)(19, 100)(20, 73)(21, 75)(22, 74)(23, 102)(24, 76)(25, 99)(26, 77)(27, 80)(28, 79)(29, 89)(30, 90)(31, 91)(32, 83)(33, 92)(34, 87)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.527
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (R * Y3)^2, (Y3, Y1), (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2^3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 13, 47, 25, 59, 34, 68, 20, 54, 7, 41, 12, 46, 17, 51, 4, 38, 10, 44, 24, 58, 30, 64, 21, 55, 18, 52, 5, 39)(3, 37, 9, 43, 23, 57, 29, 63, 22, 56, 28, 62, 32, 66, 16, 50, 27, 61, 31, 65, 14, 48, 26, 60, 33, 67, 19, 53, 6, 40, 11, 45, 15, 49)(69, 103, 71, 105, 81, 115, 97, 131, 88, 122, 100, 134, 85, 119, 99, 133, 92, 126, 101, 135, 86, 120, 79, 113, 70, 104, 77, 111, 93, 127, 90, 124, 75, 109, 84, 118, 72, 106, 82, 116, 98, 132, 87, 121, 73, 107, 83, 117, 76, 110, 91, 125, 102, 136, 96, 130, 80, 114, 95, 129, 78, 112, 94, 128, 89, 123, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 92)(9, 94)(10, 93)(11, 95)(12, 70)(13, 98)(14, 97)(15, 99)(16, 71)(17, 76)(18, 80)(19, 100)(20, 73)(21, 75)(22, 74)(23, 101)(24, 102)(25, 89)(26, 90)(27, 77)(28, 79)(29, 87)(30, 88)(31, 91)(32, 83)(33, 96)(34, 86)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.529
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), (Y3, Y2^-1), (Y2 * Y3^-1)^2, (Y1, Y2^-1), (R * Y1)^2, Y1^-3 * Y3, Y3^-2 * Y2^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-2, Y3^2 * Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^3, Y2 * Y1^2 * Y2 * Y3 * Y2^2, Y2^-6 * Y1, Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 4, 38, 10, 44, 22, 56, 13, 47, 24, 58, 34, 68, 30, 64, 31, 65, 19, 53, 27, 61, 18, 52, 7, 41, 12, 46, 5, 39)(3, 37, 9, 43, 21, 55, 14, 48, 25, 59, 33, 67, 29, 63, 32, 66, 20, 54, 28, 62, 17, 51, 6, 40, 11, 45, 23, 57, 16, 50, 26, 60, 15, 49)(69, 103, 71, 105, 81, 115, 97, 131, 95, 129, 79, 113, 70, 104, 77, 111, 92, 126, 100, 134, 86, 120, 91, 125, 76, 110, 89, 123, 102, 136, 88, 122, 75, 109, 84, 118, 72, 106, 82, 116, 98, 132, 96, 130, 80, 114, 94, 128, 78, 112, 93, 127, 99, 133, 85, 119, 73, 107, 83, 117, 90, 124, 101, 135, 87, 121, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 76)(6, 84)(7, 69)(8, 90)(9, 93)(10, 92)(11, 94)(12, 70)(13, 98)(14, 97)(15, 89)(16, 71)(17, 91)(18, 73)(19, 75)(20, 74)(21, 101)(22, 102)(23, 83)(24, 99)(25, 100)(26, 77)(27, 80)(28, 79)(29, 96)(30, 95)(31, 86)(32, 85)(33, 88)(34, 87)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.531
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), Y3^-1 * Y2^2 * Y3^-1, (R * Y2)^2, (Y1^-1, Y2^-1), (Y2^-1 * Y3)^2, Y1^2 * Y3 * Y1, (R * Y1)^2, (Y2, Y3), (R * Y3)^2, Y1^-1 * Y2^-2 * Y1^-2 * Y3, Y3^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-2 * Y1^2 * Y3^-1 * Y2^-1, Y2^2 * Y3^2 * Y1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 7, 41, 12, 46, 23, 57, 19, 53, 27, 61, 30, 64, 34, 68, 31, 65, 13, 47, 24, 58, 17, 51, 4, 38, 10, 44, 5, 39)(3, 37, 9, 43, 21, 55, 16, 50, 26, 60, 18, 52, 6, 40, 11, 45, 22, 56, 20, 54, 28, 62, 29, 63, 33, 67, 32, 66, 14, 48, 25, 59, 15, 49)(69, 103, 71, 105, 81, 115, 97, 131, 91, 125, 86, 120, 73, 107, 83, 117, 99, 133, 96, 130, 80, 114, 94, 128, 78, 112, 93, 127, 102, 136, 88, 122, 75, 109, 84, 118, 72, 106, 82, 116, 98, 132, 90, 124, 76, 110, 89, 123, 85, 119, 100, 134, 95, 129, 79, 113, 70, 104, 77, 111, 92, 126, 101, 135, 87, 121, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 73)(9, 93)(10, 92)(11, 94)(12, 70)(13, 98)(14, 97)(15, 100)(16, 71)(17, 99)(18, 89)(19, 75)(20, 74)(21, 83)(22, 86)(23, 76)(24, 102)(25, 101)(26, 77)(27, 80)(28, 79)(29, 90)(30, 91)(31, 95)(32, 96)(33, 88)(34, 87)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.536
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3)^2, (R * Y3)^2, (Y2^-1, Y1), (Y2^-1, Y3^-1), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1 * Y3 * Y1 * Y2^2, Y1^-1 * Y3 * Y1^-4, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^2 * Y2^-1 * Y1 * Y2^-3, Y3 * Y2 * Y3^4 * Y2 * Y1^-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:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 23, 57, 17, 51, 4, 38, 10, 44, 21, 55, 27, 61, 30, 64, 13, 47, 20, 54, 7, 41, 12, 46, 25, 59, 18, 52, 5, 39)(3, 37, 9, 43, 22, 56, 28, 62, 31, 65, 14, 48, 19, 53, 6, 40, 11, 45, 24, 58, 29, 63, 33, 67, 16, 50, 26, 60, 34, 68, 32, 66, 15, 49)(69, 103, 71, 105, 81, 115, 97, 131, 91, 125, 96, 130, 80, 114, 94, 128, 78, 112, 87, 121, 73, 107, 83, 117, 98, 132, 92, 126, 76, 110, 90, 124, 75, 109, 84, 118, 72, 106, 82, 116, 86, 120, 100, 134, 95, 129, 79, 113, 70, 104, 77, 111, 88, 122, 101, 135, 85, 119, 99, 133, 93, 127, 102, 136, 89, 123, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 89)(9, 87)(10, 88)(11, 94)(12, 70)(13, 86)(14, 97)(15, 99)(16, 71)(17, 98)(18, 91)(19, 101)(20, 73)(21, 75)(22, 74)(23, 95)(24, 102)(25, 76)(26, 77)(27, 80)(28, 79)(29, 100)(30, 93)(31, 92)(32, 96)(33, 83)(34, 90)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.526
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (Y1^-1, Y3), (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y3^2 * Y2^-2, (R * Y1)^2, Y1^-2 * Y3 * Y2^2, Y3^-1 * Y1 * Y3^-2 * Y1, Y1 * Y3^-1 * Y2^-2 * Y1, Y1^-1 * Y3^-1 * Y1^-4, Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1^3, Y2^28 * Y1^4 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 8, 42, 23, 57, 20, 54, 7, 41, 12, 46, 13, 47, 26, 60, 32, 66, 21, 55, 17, 51, 4, 38, 10, 44, 25, 59, 18, 52, 5, 39)(3, 37, 9, 43, 24, 58, 34, 68, 30, 64, 16, 50, 28, 62, 29, 63, 31, 65, 19, 53, 6, 40, 11, 45, 14, 48, 27, 61, 33, 67, 22, 56, 15, 49)(69, 103, 71, 105, 81, 115, 97, 131, 93, 127, 101, 135, 88, 122, 98, 132, 85, 119, 79, 113, 70, 104, 77, 111, 94, 128, 99, 133, 86, 120, 90, 124, 75, 109, 84, 118, 72, 106, 82, 116, 76, 110, 92, 126, 100, 134, 87, 121, 73, 107, 83, 117, 80, 114, 96, 130, 78, 112, 95, 129, 91, 125, 102, 136, 89, 123, 74, 108)
	L = (1, 72)(2, 78)(3, 82)(4, 81)(5, 85)(6, 84)(7, 69)(8, 93)(9, 95)(10, 94)(11, 96)(12, 70)(13, 76)(14, 97)(15, 79)(16, 71)(17, 80)(18, 89)(19, 98)(20, 73)(21, 75)(22, 74)(23, 86)(24, 101)(25, 100)(26, 91)(27, 99)(28, 77)(29, 92)(30, 83)(31, 102)(32, 88)(33, 87)(34, 90)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.528
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y3^-1 * Y2^2 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, Y1 * Y2^-2 * Y3^-6, Y3 * Y2^28 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 7, 41, 10, 44, 17, 51, 19, 53, 26, 60, 28, 62, 33, 67, 29, 63, 32, 66, 22, 56, 23, 57, 11, 45, 15, 49, 4, 38, 5, 39)(3, 37, 8, 42, 14, 48, 16, 50, 6, 40, 9, 43, 18, 52, 20, 54, 25, 59, 27, 61, 34, 68, 30, 64, 31, 65, 21, 55, 24, 58, 12, 46, 13, 47)(69, 103, 71, 105, 79, 113, 89, 123, 97, 131, 95, 129, 87, 121, 77, 111, 70, 104, 76, 110, 83, 117, 92, 126, 100, 134, 102, 136, 94, 128, 86, 120, 75, 109, 82, 116, 72, 106, 80, 114, 90, 124, 98, 132, 96, 130, 88, 122, 78, 112, 84, 118, 73, 107, 81, 115, 91, 125, 99, 133, 101, 135, 93, 127, 85, 119, 74, 108)
	L = (1, 72)(2, 73)(3, 80)(4, 79)(5, 83)(6, 82)(7, 69)(8, 81)(9, 84)(10, 70)(11, 90)(12, 89)(13, 92)(14, 71)(15, 91)(16, 76)(17, 75)(18, 74)(19, 78)(20, 77)(21, 98)(22, 97)(23, 100)(24, 99)(25, 86)(26, 85)(27, 88)(28, 87)(29, 96)(30, 95)(31, 102)(32, 101)(33, 94)(34, 93)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.525
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y2^-1 * Y3^2 * Y2^-1, Y2^2 * Y3^-2, (Y3^-1 * Y2)^2, Y3^2 * Y2^-2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^2 * Y1 * Y2^4, (Y3^-1 * Y1^-1)^17 ]
Map:: non-degenerate
	R = (1, 35, 2, 36, 4, 38, 9, 43, 11, 45, 19, 53, 22, 56, 28, 62, 29, 63, 33, 67, 32, 66, 26, 60, 23, 57, 17, 51, 16, 50, 7, 41, 5, 39)(3, 37, 8, 42, 12, 46, 20, 54, 21, 55, 27, 61, 30, 64, 34, 68, 31, 65, 25, 59, 24, 58, 18, 52, 15, 49, 6, 40, 10, 44, 14, 48, 13, 47)(69, 103, 71, 105, 79, 113, 89, 123, 97, 131, 99, 133, 91, 125, 83, 117, 73, 107, 81, 115, 77, 111, 88, 122, 96, 130, 102, 136, 94, 128, 86, 120, 75, 109, 82, 116, 72, 106, 80, 114, 90, 124, 98, 132, 100, 134, 92, 126, 84, 118, 78, 112, 70, 104, 76, 110, 87, 121, 95, 129, 101, 135, 93, 127, 85, 119, 74, 108)
	L = (1, 72)(2, 77)(3, 80)(4, 79)(5, 70)(6, 82)(7, 69)(8, 88)(9, 87)(10, 81)(11, 90)(12, 89)(13, 76)(14, 71)(15, 78)(16, 73)(17, 75)(18, 74)(19, 96)(20, 95)(21, 98)(22, 97)(23, 84)(24, 83)(25, 86)(26, 85)(27, 102)(28, 101)(29, 100)(30, 99)(31, 92)(32, 91)(33, 94)(34, 93)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.532
Graph:: bipartite
	v = 3 e = 68 f = 19
	degree seq :: [ 34^2, 68 ]

E24.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 7})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2^7, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 29, 64, 19, 54)(13, 48, 17, 52, 25, 60, 30, 65, 22, 57)(18, 53, 26, 61, 32, 67, 34, 69, 28, 63)(23, 58, 27, 62, 33, 68, 35, 70, 31, 66)(71, 106, 73, 108, 79, 114, 88, 123, 93, 128, 83, 118, 75, 110)(72, 107, 77, 112, 86, 121, 96, 131, 97, 132, 87, 122, 78, 113)(74, 109, 80, 115, 89, 124, 98, 133, 101, 136, 92, 127, 82, 117)(76, 111, 84, 119, 94, 129, 102, 137, 103, 138, 95, 130, 85, 120)(81, 116, 90, 125, 99, 134, 104, 139, 105, 140, 100, 135, 91, 126)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 14, 10, 14, 10, 14, 10, 14, 10, 14 ), ( 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 70 f = 12
	degree seq :: [ 10^7, 14^5 ]

E24.569 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, Y1^4, Y3^9 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 11, 47, 19, 55, 27, 63, 28, 64, 20, 56, 12, 48, 5, 41)(2, 38, 7, 43, 15, 51, 23, 59, 31, 67, 32, 68, 24, 60, 16, 52, 8, 44)(3, 39, 9, 45, 17, 53, 25, 61, 33, 69, 34, 70, 26, 62, 18, 54, 10, 46)(6, 42, 13, 49, 21, 57, 29, 65, 35, 71, 36, 72, 30, 66, 22, 58, 14, 50)(73, 74, 78, 75)(76, 80, 85, 82)(77, 79, 86, 81)(83, 88, 93, 90)(84, 87, 94, 89)(91, 96, 101, 98)(92, 95, 102, 97)(99, 104, 107, 106)(100, 103, 108, 105)(109, 111, 114, 110)(112, 118, 121, 116)(113, 117, 122, 115)(119, 126, 129, 124)(120, 125, 130, 123)(127, 134, 137, 132)(128, 133, 138, 131)(135, 142, 143, 140)(136, 141, 144, 139)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^4 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E24.573
Graph:: simple bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.570 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y2^2 * Y1^2, Y1^4, Y1 * Y3^-1 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, Y1^-1 * Y3 * Y2^-1 * Y3^-2, Y3^-1 * Y1 * Y2 * Y3^-2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 9, 45, 26, 62, 31, 67, 13, 49, 22, 58, 7, 43)(2, 38, 10, 46, 19, 55, 6, 42, 21, 57, 36, 72, 25, 61, 30, 66, 12, 48)(3, 39, 14, 50, 32, 68, 27, 63, 35, 71, 18, 54, 5, 41, 20, 56, 16, 52)(8, 44, 23, 59, 28, 64, 11, 47, 29, 65, 33, 69, 15, 51, 34, 70, 24, 60)(73, 74, 80, 77)(75, 85, 78, 87)(76, 84, 95, 90)(79, 82, 96, 92)(81, 97, 83, 99)(86, 103, 93, 105)(88, 94, 91, 106)(89, 102, 100, 107)(98, 108, 101, 104)(109, 111, 116, 114)(110, 117, 113, 119)(112, 124, 131, 127)(115, 122, 132, 129)(118, 125, 128, 136)(120, 134, 126, 137)(121, 135, 123, 133)(130, 140, 142, 144)(138, 139, 143, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^4 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E24.575
Graph:: simple bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.571 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y1^2 * Y2^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^9, Y3^4 * Y1^-1 * Y3^-4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 13, 49, 21, 57, 29, 65, 32, 68, 24, 60, 16, 52, 7, 43)(2, 38, 6, 42, 15, 51, 23, 59, 31, 67, 34, 70, 26, 62, 18, 54, 10, 46)(3, 39, 11, 47, 19, 55, 27, 63, 35, 71, 30, 66, 22, 58, 14, 50, 5, 41)(8, 44, 9, 45, 17, 53, 25, 61, 33, 69, 36, 72, 28, 64, 20, 56, 12, 48)(73, 74, 80, 77)(75, 79, 78, 84)(76, 82, 81, 86)(83, 88, 87, 92)(85, 90, 89, 94)(91, 96, 95, 100)(93, 98, 97, 102)(99, 104, 103, 108)(101, 106, 105, 107)(109, 111, 116, 114)(110, 112, 113, 117)(115, 119, 120, 123)(118, 121, 122, 125)(124, 127, 128, 131)(126, 129, 130, 133)(132, 135, 136, 139)(134, 137, 138, 141)(140, 143, 144, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^4 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E24.574
Graph:: simple bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.572 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 12, 48, 5, 41)(2, 38, 7, 43, 16, 52, 8, 44)(3, 39, 10, 46, 20, 56, 11, 47)(6, 42, 14, 50, 24, 60, 15, 51)(9, 45, 18, 54, 28, 64, 19, 55)(13, 49, 22, 58, 31, 67, 23, 59)(17, 53, 26, 62, 34, 70, 27, 63)(21, 57, 29, 65, 35, 71, 30, 66)(25, 61, 32, 68, 36, 72, 33, 69)(73, 74, 78, 85, 93, 97, 89, 81, 75)(76, 82, 90, 98, 104, 101, 94, 86, 79)(77, 83, 91, 99, 105, 102, 95, 87, 80)(84, 88, 96, 103, 107, 108, 106, 100, 92)(109, 111, 117, 125, 133, 129, 121, 114, 110)(112, 115, 122, 130, 137, 140, 134, 126, 118)(113, 116, 123, 131, 138, 141, 135, 127, 119)(120, 128, 136, 142, 144, 143, 139, 132, 124)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^8 ), ( 16^9 ) }
Outer automorphisms :: reflexible
Dual of E24.576
Graph:: simple bipartite
	v = 17 e = 72 f = 9
	degree seq :: [ 8^9, 9^8 ]

E24.573 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, Y1^4, Y3^9 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 11, 47, 83, 119, 19, 55, 91, 127, 27, 63, 99, 135, 28, 64, 100, 136, 20, 56, 92, 128, 12, 48, 84, 120, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 15, 51, 87, 123, 23, 59, 95, 131, 31, 67, 103, 139, 32, 68, 104, 140, 24, 60, 96, 132, 16, 52, 88, 124, 8, 44, 80, 116)(3, 39, 75, 111, 9, 45, 81, 117, 17, 53, 89, 125, 25, 61, 97, 133, 33, 69, 105, 141, 34, 70, 106, 142, 26, 62, 98, 134, 18, 54, 90, 126, 10, 46, 82, 118)(6, 42, 78, 114, 13, 49, 85, 121, 21, 57, 93, 129, 29, 65, 101, 137, 35, 71, 107, 143, 36, 72, 108, 144, 30, 66, 102, 138, 22, 58, 94, 130, 14, 50, 86, 122)
	L = (1, 38)(2, 42)(3, 37)(4, 44)(5, 43)(6, 39)(7, 50)(8, 49)(9, 41)(10, 40)(11, 52)(12, 51)(13, 46)(14, 45)(15, 58)(16, 57)(17, 48)(18, 47)(19, 60)(20, 59)(21, 54)(22, 53)(23, 66)(24, 65)(25, 56)(26, 55)(27, 68)(28, 67)(29, 62)(30, 61)(31, 72)(32, 71)(33, 64)(34, 63)(35, 70)(36, 69)(73, 111)(74, 109)(75, 114)(76, 118)(77, 117)(78, 110)(79, 113)(80, 112)(81, 122)(82, 121)(83, 126)(84, 125)(85, 116)(86, 115)(87, 120)(88, 119)(89, 130)(90, 129)(91, 134)(92, 133)(93, 124)(94, 123)(95, 128)(96, 127)(97, 138)(98, 137)(99, 142)(100, 141)(101, 132)(102, 131)(103, 136)(104, 135)(105, 144)(106, 143)(107, 140)(108, 139)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.569
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 72 f = 22
	degree seq :: [ 36^4 ]

E24.574 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y2^2 * Y1^2, Y1^4, Y1 * Y3^-1 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, Y1^-1 * Y3 * Y2^-1 * Y3^-2, Y3^-1 * Y1 * Y2 * Y3^-2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 9, 45, 81, 117, 26, 62, 98, 134, 31, 67, 103, 139, 13, 49, 85, 121, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 19, 55, 91, 127, 6, 42, 78, 114, 21, 57, 93, 129, 36, 72, 108, 144, 25, 61, 97, 133, 30, 66, 102, 138, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 32, 68, 104, 140, 27, 63, 99, 135, 35, 71, 107, 143, 18, 54, 90, 126, 5, 41, 77, 113, 20, 56, 92, 128, 16, 52, 88, 124)(8, 44, 80, 116, 23, 59, 95, 131, 28, 64, 100, 136, 11, 47, 83, 119, 29, 65, 101, 137, 33, 69, 105, 141, 15, 51, 87, 123, 34, 70, 106, 142, 24, 60, 96, 132)
	L = (1, 38)(2, 44)(3, 49)(4, 48)(5, 37)(6, 51)(7, 46)(8, 41)(9, 61)(10, 60)(11, 63)(12, 59)(13, 42)(14, 67)(15, 39)(16, 58)(17, 66)(18, 40)(19, 70)(20, 43)(21, 69)(22, 55)(23, 54)(24, 56)(25, 47)(26, 72)(27, 45)(28, 71)(29, 68)(30, 64)(31, 57)(32, 62)(33, 50)(34, 52)(35, 53)(36, 65)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 122)(80, 114)(81, 113)(82, 125)(83, 110)(84, 134)(85, 135)(86, 132)(87, 133)(88, 131)(89, 128)(90, 137)(91, 112)(92, 136)(93, 115)(94, 140)(95, 127)(96, 129)(97, 121)(98, 126)(99, 123)(100, 118)(101, 120)(102, 139)(103, 143)(104, 142)(105, 138)(106, 144)(107, 141)(108, 130)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.571
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 72 f = 22
	degree seq :: [ 36^4 ]

E24.575 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y1^2 * Y2^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^9, Y3^4 * Y1^-1 * Y3^-4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 13, 49, 85, 121, 21, 57, 93, 129, 29, 65, 101, 137, 32, 68, 104, 140, 24, 60, 96, 132, 16, 52, 88, 124, 7, 43, 79, 115)(2, 38, 74, 110, 6, 42, 78, 114, 15, 51, 87, 123, 23, 59, 95, 131, 31, 67, 103, 139, 34, 70, 106, 142, 26, 62, 98, 134, 18, 54, 90, 126, 10, 46, 82, 118)(3, 39, 75, 111, 11, 47, 83, 119, 19, 55, 91, 127, 27, 63, 99, 135, 35, 71, 107, 143, 30, 66, 102, 138, 22, 58, 94, 130, 14, 50, 86, 122, 5, 41, 77, 113)(8, 44, 80, 116, 9, 45, 81, 117, 17, 53, 89, 125, 25, 61, 97, 133, 33, 69, 105, 141, 36, 72, 108, 144, 28, 64, 100, 136, 20, 56, 92, 128, 12, 48, 84, 120)
	L = (1, 38)(2, 44)(3, 43)(4, 46)(5, 37)(6, 48)(7, 42)(8, 41)(9, 50)(10, 45)(11, 52)(12, 39)(13, 54)(14, 40)(15, 56)(16, 51)(17, 58)(18, 53)(19, 60)(20, 47)(21, 62)(22, 49)(23, 64)(24, 59)(25, 66)(26, 61)(27, 68)(28, 55)(29, 70)(30, 57)(31, 72)(32, 67)(33, 71)(34, 69)(35, 65)(36, 63)(73, 111)(74, 112)(75, 116)(76, 113)(77, 117)(78, 109)(79, 119)(80, 114)(81, 110)(82, 121)(83, 120)(84, 123)(85, 122)(86, 125)(87, 115)(88, 127)(89, 118)(90, 129)(91, 128)(92, 131)(93, 130)(94, 133)(95, 124)(96, 135)(97, 126)(98, 137)(99, 136)(100, 139)(101, 138)(102, 141)(103, 132)(104, 143)(105, 134)(106, 140)(107, 144)(108, 142)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.570
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 72 f = 22
	degree seq :: [ 36^4 ]

E24.576 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 12, 48, 84, 120, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 16, 52, 88, 124, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118, 20, 56, 92, 128, 11, 47, 83, 119)(6, 42, 78, 114, 14, 50, 86, 122, 24, 60, 96, 132, 15, 51, 87, 123)(9, 45, 81, 117, 18, 54, 90, 126, 28, 64, 100, 136, 19, 55, 91, 127)(13, 49, 85, 121, 22, 58, 94, 130, 31, 67, 103, 139, 23, 59, 95, 131)(17, 53, 89, 125, 26, 62, 98, 134, 34, 70, 106, 142, 27, 63, 99, 135)(21, 57, 93, 129, 29, 65, 101, 137, 35, 71, 107, 143, 30, 66, 102, 138)(25, 61, 97, 133, 32, 68, 104, 140, 36, 72, 108, 144, 33, 69, 105, 141)
	L = (1, 38)(2, 42)(3, 37)(4, 46)(5, 47)(6, 49)(7, 40)(8, 41)(9, 39)(10, 54)(11, 55)(12, 52)(13, 57)(14, 43)(15, 44)(16, 60)(17, 45)(18, 62)(19, 63)(20, 48)(21, 61)(22, 50)(23, 51)(24, 67)(25, 53)(26, 68)(27, 69)(28, 56)(29, 58)(30, 59)(31, 71)(32, 65)(33, 66)(34, 64)(35, 72)(36, 70)(73, 111)(74, 109)(75, 117)(76, 115)(77, 116)(78, 110)(79, 122)(80, 123)(81, 125)(82, 112)(83, 113)(84, 128)(85, 114)(86, 130)(87, 131)(88, 120)(89, 133)(90, 118)(91, 119)(92, 136)(93, 121)(94, 137)(95, 138)(96, 124)(97, 129)(98, 126)(99, 127)(100, 142)(101, 140)(102, 141)(103, 132)(104, 134)(105, 135)(106, 144)(107, 139)(108, 143)
	local type(s) :: { ( 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9 ) }
Outer automorphisms :: reflexible
Dual of E24.572
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 17
	degree seq :: [ 16^9 ]

E24.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 8, 44, 13, 49, 10, 46)(5, 41, 7, 43, 14, 50, 11, 47)(9, 45, 16, 52, 21, 57, 18, 54)(12, 48, 15, 51, 22, 58, 19, 55)(17, 53, 24, 60, 29, 65, 26, 62)(20, 56, 23, 59, 30, 66, 27, 63)(25, 61, 32, 68, 35, 71, 33, 69)(28, 64, 31, 67, 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, 83, 119, 91, 127, 99, 135, 106, 142, 105, 141, 98, 134, 90, 126, 82, 118)(78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 108, 144, 102, 138, 94, 130, 86, 122)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y2^-3, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 21, 57, 15, 51)(4, 40, 12, 48, 22, 58, 17, 53)(6, 42, 9, 45, 23, 59, 18, 54)(7, 43, 10, 46, 24, 60, 19, 55)(13, 49, 27, 63, 33, 69, 29, 65)(14, 50, 28, 64, 34, 70, 30, 66)(16, 52, 25, 61, 35, 71, 31, 67)(20, 56, 26, 62, 36, 72, 32, 68)(73, 109, 75, 111, 85, 121, 76, 112, 86, 122, 92, 128, 79, 115, 88, 124, 78, 114)(74, 110, 81, 117, 97, 133, 82, 118, 98, 134, 100, 136, 84, 120, 99, 135, 83, 119)(77, 113, 90, 126, 103, 139, 91, 127, 104, 140, 102, 138, 89, 125, 101, 137, 87, 123)(80, 116, 93, 129, 105, 141, 94, 130, 106, 142, 108, 144, 96, 132, 107, 143, 95, 131)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 91)(6, 85)(7, 73)(8, 94)(9, 98)(10, 84)(11, 97)(12, 74)(13, 92)(14, 88)(15, 103)(16, 75)(17, 77)(18, 104)(19, 89)(20, 78)(21, 106)(22, 96)(23, 105)(24, 80)(25, 100)(26, 99)(27, 81)(28, 83)(29, 90)(30, 87)(31, 102)(32, 101)(33, 108)(34, 107)(35, 93)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E24.579
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3), Y2^-3 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1, (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 21, 57, 15, 51)(4, 40, 12, 48, 22, 58, 17, 53)(6, 42, 9, 45, 23, 59, 19, 55)(7, 43, 10, 46, 24, 60, 20, 56)(13, 49, 26, 62, 33, 69, 29, 65)(14, 50, 25, 61, 34, 70, 30, 66)(16, 52, 28, 64, 35, 71, 31, 67)(18, 54, 27, 63, 36, 72, 32, 68)(73, 109, 75, 111, 85, 121, 79, 115, 88, 124, 90, 126, 76, 112, 86, 122, 78, 114)(74, 110, 81, 117, 97, 133, 84, 120, 99, 135, 100, 136, 82, 118, 98, 134, 83, 119)(77, 113, 91, 127, 102, 138, 89, 125, 104, 140, 103, 139, 92, 128, 101, 137, 87, 123)(80, 116, 93, 129, 105, 141, 96, 132, 107, 143, 108, 144, 94, 130, 106, 142, 95, 131)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 92)(6, 90)(7, 73)(8, 94)(9, 98)(10, 84)(11, 100)(12, 74)(13, 78)(14, 88)(15, 103)(16, 75)(17, 77)(18, 85)(19, 101)(20, 89)(21, 106)(22, 96)(23, 108)(24, 80)(25, 83)(26, 99)(27, 81)(28, 97)(29, 104)(30, 87)(31, 102)(32, 91)(33, 95)(34, 107)(35, 93)(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) :: { ( 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 E24.578
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9, 9})
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 * R * Y3^-1, (R * Y1)^2, Y1^4, Y3 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1^-1, (Y1^-1 * Y2^-1)^4, Y2^9, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 5, 41)(3, 39, 8, 44, 13, 49, 10, 46)(4, 40, 7, 43, 14, 50, 12, 48)(9, 45, 16, 52, 21, 57, 18, 54)(11, 47, 15, 51, 22, 58, 20, 56)(17, 53, 24, 60, 29, 65, 26, 62)(19, 55, 23, 59, 30, 66, 28, 64)(25, 61, 32, 68, 35, 71, 33, 69)(27, 63, 31, 67, 36, 72, 34, 70)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 99, 135, 91, 127, 83, 119, 76, 112)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 104, 140, 96, 132, 88, 124, 80, 116)(77, 113, 84, 120, 92, 128, 100, 136, 106, 142, 105, 141, 98, 134, 90, 126, 82, 118)(78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 108, 144, 102, 138, 94, 130, 86, 122)
	L = (1, 76)(2, 80)(3, 73)(4, 83)(5, 82)(6, 86)(7, 74)(8, 88)(9, 75)(10, 90)(11, 91)(12, 77)(13, 78)(14, 94)(15, 79)(16, 96)(17, 81)(18, 98)(19, 99)(20, 84)(21, 85)(22, 102)(23, 87)(24, 104)(25, 89)(26, 105)(27, 97)(28, 92)(29, 93)(30, 108)(31, 95)(32, 103)(33, 106)(34, 100)(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) :: { ( 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 E24.582
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y1)^2, (R * Y2^-1)^2, Y1^4, Y3^4 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 21, 57, 14, 50)(4, 40, 12, 48, 22, 58, 16, 52)(6, 42, 9, 45, 23, 59, 17, 53)(7, 43, 10, 46, 24, 60, 18, 54)(13, 49, 27, 63, 33, 69, 29, 65)(15, 51, 28, 64, 34, 70, 30, 66)(19, 55, 25, 61, 35, 71, 31, 67)(20, 56, 26, 62, 36, 72, 32, 68)(73, 109, 75, 111, 76, 112, 85, 121, 87, 123, 92, 128, 91, 127, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 97, 133, 98, 134, 100, 136, 99, 135, 84, 120, 83, 119)(77, 113, 89, 125, 90, 126, 103, 139, 104, 140, 102, 138, 101, 137, 88, 124, 86, 122)(80, 116, 93, 129, 94, 130, 105, 141, 106, 142, 108, 144, 107, 143, 96, 132, 95, 131)
	L = (1, 76)(2, 82)(3, 85)(4, 87)(5, 90)(6, 75)(7, 73)(8, 94)(9, 97)(10, 98)(11, 81)(12, 74)(13, 92)(14, 89)(15, 91)(16, 77)(17, 103)(18, 104)(19, 78)(20, 79)(21, 105)(22, 106)(23, 93)(24, 80)(25, 100)(26, 99)(27, 83)(28, 84)(29, 86)(30, 88)(31, 102)(32, 101)(33, 108)(34, 107)(35, 95)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y1, Y1^4, Y2^-4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 21, 57, 15, 51)(4, 40, 12, 48, 22, 58, 16, 52)(6, 42, 9, 45, 23, 59, 17, 53)(7, 43, 10, 46, 24, 60, 18, 54)(13, 49, 27, 63, 33, 69, 29, 65)(14, 50, 28, 64, 34, 70, 30, 66)(19, 55, 25, 61, 35, 71, 31, 67)(20, 56, 26, 62, 36, 72, 32, 68)(73, 109, 75, 111, 85, 121, 92, 128, 79, 115, 76, 112, 86, 122, 91, 127, 78, 114)(74, 110, 81, 117, 97, 133, 100, 136, 84, 120, 82, 118, 98, 134, 99, 135, 83, 119)(77, 113, 89, 125, 103, 139, 102, 138, 88, 124, 90, 126, 104, 140, 101, 137, 87, 123)(80, 116, 93, 129, 105, 141, 108, 144, 96, 132, 94, 130, 106, 142, 107, 143, 95, 131)
	L = (1, 76)(2, 82)(3, 86)(4, 75)(5, 90)(6, 79)(7, 73)(8, 94)(9, 98)(10, 81)(11, 84)(12, 74)(13, 91)(14, 85)(15, 88)(16, 77)(17, 104)(18, 89)(19, 92)(20, 78)(21, 106)(22, 93)(23, 96)(24, 80)(25, 99)(26, 97)(27, 100)(28, 83)(29, 102)(30, 87)(31, 101)(32, 103)(33, 107)(34, 105)(35, 108)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E24.580
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9, 9})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 7, 43, 13, 49, 10, 46)(5, 41, 8, 44, 14, 50, 11, 47)(9, 45, 15, 51, 21, 57, 18, 54)(12, 48, 16, 52, 22, 58, 19, 55)(17, 53, 23, 59, 29, 65, 26, 62)(20, 56, 24, 60, 30, 66, 27, 63)(25, 61, 31, 67, 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, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 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 selfdual
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y1^3, Y2 * Y1^-1 * Y2, Y3^3 * Y1^-1, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 6, 42)(4, 40, 9, 45, 14, 50)(7, 43, 10, 46, 16, 52)(11, 47, 21, 57, 17, 53)(12, 48, 22, 58, 18, 54)(13, 49, 23, 59, 15, 51)(19, 55, 24, 60, 20, 56)(25, 61, 32, 68, 26, 62)(27, 63, 30, 66, 28, 64)(29, 65, 35, 71, 31, 67)(33, 69, 36, 72, 34, 70)(73, 109, 75, 111, 74, 110, 80, 116, 77, 113, 78, 114)(76, 112, 85, 121, 81, 117, 95, 131, 86, 122, 87, 123)(79, 115, 91, 127, 82, 118, 96, 132, 88, 124, 92, 128)(83, 119, 97, 133, 93, 129, 104, 140, 89, 125, 98, 134)(84, 120, 99, 135, 94, 130, 102, 138, 90, 126, 100, 136)(101, 137, 106, 142, 107, 143, 105, 141, 103, 139, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 82)(5, 86)(6, 89)(7, 73)(8, 93)(9, 88)(10, 74)(11, 94)(12, 75)(13, 100)(14, 79)(15, 102)(16, 77)(17, 84)(18, 78)(19, 105)(20, 106)(21, 90)(22, 80)(23, 99)(24, 108)(25, 91)(26, 92)(27, 103)(28, 107)(29, 85)(30, 101)(31, 87)(32, 96)(33, 104)(34, 97)(35, 95)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^6 ), ( 18^12 ) }
Outer automorphisms :: reflexible
Dual of E24.594
Graph:: bipartite
	v = 18 e = 72 f = 8
	degree seq :: [ 6^12, 12^6 ]

E24.585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y1^3, Y2^2 * Y1, (Y2, Y1^-1), (Y3, Y1^-1), Y3^-3 * Y1^-1, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 6, 42, 9, 45)(4, 40, 8, 44, 15, 51)(7, 43, 10, 46, 14, 50)(11, 47, 17, 53, 22, 58)(12, 48, 18, 54, 23, 59)(13, 49, 16, 52, 21, 57)(19, 55, 20, 56, 24, 60)(25, 61, 26, 62, 32, 68)(27, 63, 28, 64, 30, 66)(29, 65, 31, 67, 35, 71)(33, 69, 34, 70, 36, 72)(73, 109, 75, 111, 77, 113, 81, 117, 74, 110, 78, 114)(76, 112, 85, 121, 87, 123, 93, 129, 80, 116, 88, 124)(79, 115, 91, 127, 86, 122, 96, 132, 82, 118, 92, 128)(83, 119, 97, 133, 94, 130, 104, 140, 89, 125, 98, 134)(84, 120, 99, 135, 95, 131, 102, 138, 90, 126, 100, 136)(101, 137, 106, 142, 107, 143, 105, 141, 103, 139, 108, 144)
	L = (1, 76)(2, 80)(3, 83)(4, 86)(5, 87)(6, 89)(7, 73)(8, 79)(9, 94)(10, 74)(11, 95)(12, 75)(13, 100)(14, 77)(15, 82)(16, 102)(17, 84)(18, 78)(19, 105)(20, 106)(21, 99)(22, 90)(23, 81)(24, 108)(25, 91)(26, 92)(27, 103)(28, 107)(29, 85)(30, 101)(31, 88)(32, 96)(33, 104)(34, 97)(35, 93)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^6 ), ( 18^12 ) }
Outer automorphisms :: reflexible
Dual of E24.595
Graph:: bipartite
	v = 18 e = 72 f = 8
	degree seq :: [ 6^12, 12^6 ]

E24.586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y3^2, R^2, Y1^-3 * Y3, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y1 * Y2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 11, 47, 23, 59, 13, 49, 22, 58, 14, 50)(6, 42, 19, 55, 12, 48, 20, 56, 27, 63, 21, 57)(8, 44, 24, 60, 15, 51, 25, 61, 17, 53, 26, 62)(10, 46, 28, 64, 16, 52, 29, 65, 18, 54, 30, 66)(31, 67, 36, 72, 32, 68, 34, 70, 33, 69, 35, 71)(73, 109, 75, 111, 84, 120, 79, 115, 95, 131, 99, 135, 81, 117, 94, 130, 78, 114)(74, 110, 80, 116, 88, 124, 76, 112, 87, 123, 90, 126, 77, 113, 89, 125, 82, 118)(83, 119, 102, 138, 104, 140, 85, 121, 100, 136, 105, 141, 86, 122, 101, 137, 103, 139)(91, 127, 106, 142, 97, 133, 92, 128, 107, 143, 98, 134, 93, 129, 108, 144, 96, 132)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 79)(6, 92)(7, 77)(8, 97)(9, 74)(10, 101)(11, 94)(12, 93)(13, 75)(14, 95)(15, 98)(16, 102)(17, 96)(18, 100)(19, 99)(20, 78)(21, 84)(22, 83)(23, 86)(24, 89)(25, 80)(26, 87)(27, 91)(28, 90)(29, 82)(30, 88)(31, 106)(32, 107)(33, 108)(34, 103)(35, 104)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 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 E24.591
Graph:: bipartite
	v = 10 e = 72 f = 16
	degree seq :: [ 12^6, 18^4 ]

E24.587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y3^2, R^2, Y1^-3 * Y3, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 11, 47, 22, 58, 13, 49, 27, 63, 14, 50)(6, 42, 19, 55, 23, 59, 20, 56, 12, 48, 21, 57)(8, 44, 24, 60, 15, 51, 25, 61, 17, 53, 26, 62)(10, 46, 28, 64, 16, 52, 29, 65, 18, 54, 30, 66)(31, 67, 36, 72, 32, 68, 34, 70, 33, 69, 35, 71)(73, 109, 75, 111, 84, 120, 81, 117, 99, 135, 95, 131, 79, 115, 94, 130, 78, 114)(74, 110, 80, 116, 90, 126, 77, 113, 89, 125, 88, 124, 76, 112, 87, 123, 82, 118)(83, 119, 100, 136, 105, 141, 86, 122, 102, 138, 104, 140, 85, 121, 101, 137, 103, 139)(91, 127, 106, 142, 97, 133, 93, 129, 108, 144, 96, 132, 92, 128, 107, 143, 98, 134)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 79)(6, 92)(7, 77)(8, 97)(9, 74)(10, 101)(11, 99)(12, 91)(13, 75)(14, 94)(15, 98)(16, 102)(17, 96)(18, 100)(19, 84)(20, 78)(21, 95)(22, 86)(23, 93)(24, 89)(25, 80)(26, 87)(27, 83)(28, 90)(29, 82)(30, 88)(31, 106)(32, 107)(33, 108)(34, 103)(35, 104)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 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 E24.590
Graph:: bipartite
	v = 10 e = 72 f = 16
	degree seq :: [ 12^6, 18^4 ]

E24.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2^-3, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, R * Y1^-1 * Y2^-1 * Y1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y1 * Y2^2 * Y1^2 * Y2 * Y1, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 18, 54, 13, 49, 4, 40)(3, 39, 9, 45, 19, 55, 34, 70, 17, 53, 11, 47)(5, 41, 15, 51, 10, 46, 26, 62, 30, 66, 16, 52)(7, 43, 20, 56, 31, 67, 29, 65, 12, 48, 22, 58)(8, 44, 23, 59, 21, 57, 27, 63, 14, 50, 24, 60)(25, 61, 33, 69, 36, 72, 32, 68, 28, 64, 35, 71)(73, 109, 75, 111, 82, 118, 78, 114, 91, 127, 102, 138, 85, 121, 89, 125, 77, 113)(74, 110, 79, 115, 93, 129, 90, 126, 103, 139, 86, 122, 76, 112, 84, 120, 80, 116)(81, 117, 96, 132, 108, 144, 106, 142, 95, 131, 100, 136, 83, 119, 99, 135, 97, 133)(87, 123, 104, 140, 101, 137, 98, 134, 107, 143, 94, 130, 88, 124, 105, 141, 92, 128)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 95)(9, 91)(10, 98)(11, 75)(12, 94)(13, 76)(14, 96)(15, 82)(16, 77)(17, 83)(18, 85)(19, 106)(20, 103)(21, 99)(22, 79)(23, 93)(24, 80)(25, 105)(26, 102)(27, 86)(28, 107)(29, 84)(30, 88)(31, 101)(32, 100)(33, 108)(34, 89)(35, 97)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E24.592
Graph:: bipartite
	v = 10 e = 72 f = 16
	degree seq :: [ 12^6, 18^4 ]

E24.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-2 * Y2 * Y1^-2, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 18, 54, 13, 49, 4, 40)(3, 39, 9, 45, 17, 53, 34, 70, 27, 63, 11, 47)(5, 41, 15, 51, 19, 55, 26, 62, 10, 46, 16, 52)(7, 43, 20, 56, 24, 60, 30, 66, 12, 48, 21, 57)(8, 44, 22, 58, 29, 65, 31, 67, 14, 50, 23, 59)(25, 61, 33, 69, 36, 72, 32, 68, 28, 64, 35, 71)(73, 109, 75, 111, 82, 118, 85, 121, 99, 135, 91, 127, 78, 114, 89, 125, 77, 113)(74, 110, 79, 115, 86, 122, 76, 112, 84, 120, 101, 137, 90, 126, 96, 132, 80, 116)(81, 117, 94, 130, 100, 136, 83, 119, 95, 131, 108, 144, 106, 142, 103, 139, 97, 133)(87, 123, 104, 140, 102, 138, 88, 124, 105, 141, 92, 128, 98, 134, 107, 143, 93, 129)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 94)(9, 89)(10, 88)(11, 75)(12, 93)(13, 76)(14, 95)(15, 91)(16, 77)(17, 106)(18, 85)(19, 98)(20, 96)(21, 79)(22, 101)(23, 80)(24, 102)(25, 105)(26, 82)(27, 83)(28, 107)(29, 103)(30, 84)(31, 86)(32, 100)(33, 108)(34, 99)(35, 97)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E24.593
Graph:: bipartite
	v = 10 e = 72 f = 16
	degree seq :: [ 12^6, 18^4 ]

E24.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y3^2, R^2, Y2^3, Y2^-1 * Y1^3, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2^-1, Y1^-1), Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 3, 39, 8, 44, 16, 52, 6, 42, 10, 46, 5, 41)(4, 40, 12, 48, 23, 59, 11, 47, 22, 58, 27, 63, 14, 50, 25, 61, 13, 49)(9, 45, 19, 55, 33, 69, 18, 54, 32, 68, 34, 70, 21, 57, 26, 62, 20, 56)(15, 51, 28, 64, 24, 60, 17, 53, 31, 67, 35, 71, 30, 66, 36, 72, 29, 65)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 83, 119, 86, 122)(77, 113, 79, 115, 88, 124)(81, 117, 90, 126, 93, 129)(84, 120, 94, 130, 97, 133)(85, 121, 95, 131, 99, 135)(87, 123, 89, 125, 102, 138)(91, 127, 104, 140, 98, 134)(92, 128, 105, 141, 106, 142)(96, 132, 107, 143, 101, 137)(100, 136, 103, 139, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 73)(5, 87)(6, 86)(7, 89)(8, 90)(9, 74)(10, 93)(11, 75)(12, 96)(13, 98)(14, 78)(15, 77)(16, 102)(17, 79)(18, 80)(19, 95)(20, 100)(21, 82)(22, 107)(23, 91)(24, 84)(25, 101)(26, 85)(27, 104)(28, 92)(29, 97)(30, 88)(31, 105)(32, 99)(33, 103)(34, 108)(35, 94)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.587
Graph:: bipartite
	v = 16 e = 72 f = 10
	degree seq :: [ 6^12, 18^4 ]

E24.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y3^2, R^2, Y2^3, Y1^-3 * Y2^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y2^-1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 6, 42, 10, 46, 12, 48, 3, 39, 8, 44, 5, 41)(4, 40, 13, 49, 25, 61, 15, 51, 27, 63, 23, 59, 11, 47, 22, 58, 14, 50)(9, 45, 19, 55, 33, 69, 21, 57, 34, 70, 32, 68, 18, 54, 28, 64, 20, 56)(16, 52, 29, 65, 26, 62, 17, 53, 31, 67, 36, 72, 24, 60, 35, 71, 30, 66)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 83, 119, 87, 123)(77, 113, 84, 120, 79, 115)(81, 117, 90, 126, 93, 129)(85, 121, 94, 130, 99, 135)(86, 122, 95, 131, 97, 133)(88, 124, 96, 132, 89, 125)(91, 127, 100, 136, 106, 142)(92, 128, 104, 140, 105, 141)(98, 134, 102, 138, 108, 144)(101, 137, 107, 143, 103, 139)
	L = (1, 76)(2, 81)(3, 83)(4, 73)(5, 88)(6, 87)(7, 89)(8, 90)(9, 74)(10, 93)(11, 75)(12, 96)(13, 98)(14, 100)(15, 78)(16, 77)(17, 79)(18, 80)(19, 97)(20, 101)(21, 82)(22, 102)(23, 106)(24, 84)(25, 91)(26, 85)(27, 108)(28, 86)(29, 92)(30, 94)(31, 105)(32, 107)(33, 103)(34, 95)(35, 104)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.586
Graph:: bipartite
	v = 16 e = 72 f = 10
	degree seq :: [ 6^12, 18^4 ]

E24.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y2^3, Y2 * Y3^-2, Y1^3 * Y2^-1, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 3, 39, 9, 45, 17, 53, 6, 42, 11, 47, 5, 41)(4, 40, 14, 50, 28, 64, 13, 49, 27, 63, 20, 56, 7, 43, 19, 55, 15, 51)(10, 46, 23, 59, 36, 72, 22, 58, 31, 67, 26, 62, 12, 48, 25, 61, 24, 60)(16, 52, 32, 68, 34, 70, 21, 57, 35, 71, 30, 66, 18, 54, 33, 69, 29, 65)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 79, 115)(77, 113, 80, 116, 89, 125)(82, 118, 94, 130, 84, 120)(86, 122, 99, 135, 91, 127)(87, 123, 100, 136, 92, 128)(88, 124, 93, 129, 90, 126)(95, 131, 103, 139, 97, 133)(96, 132, 108, 144, 98, 134)(101, 137, 106, 142, 102, 138)(104, 140, 107, 143, 105, 141)
	L = (1, 76)(2, 82)(3, 85)(4, 75)(5, 88)(6, 79)(7, 73)(8, 93)(9, 94)(10, 81)(11, 84)(12, 74)(13, 78)(14, 101)(15, 103)(16, 80)(17, 90)(18, 77)(19, 102)(20, 95)(21, 89)(22, 83)(23, 87)(24, 105)(25, 92)(26, 107)(27, 106)(28, 97)(29, 99)(30, 86)(31, 100)(32, 98)(33, 108)(34, 91)(35, 96)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.588
Graph:: bipartite
	v = 16 e = 72 f = 10
	degree seq :: [ 6^12, 18^4 ]

E24.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y2^3, Y3 * Y2^-1 * Y3, (Y1, Y2), Y1^-3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 6, 42, 11, 47, 14, 50, 3, 39, 9, 45, 5, 41)(4, 40, 15, 51, 20, 56, 7, 43, 19, 55, 28, 64, 13, 49, 27, 63, 16, 52)(10, 46, 23, 59, 26, 62, 12, 48, 25, 61, 36, 72, 22, 58, 34, 70, 24, 60)(17, 53, 31, 67, 33, 69, 18, 54, 32, 68, 29, 65, 21, 57, 35, 71, 30, 66)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 79, 115)(77, 113, 86, 122, 80, 116)(82, 118, 94, 130, 84, 120)(87, 123, 99, 135, 91, 127)(88, 124, 100, 136, 92, 128)(89, 125, 93, 129, 90, 126)(95, 131, 106, 142, 97, 133)(96, 132, 108, 144, 98, 134)(101, 137, 105, 141, 102, 138)(103, 139, 107, 143, 104, 140)
	L = (1, 76)(2, 82)(3, 85)(4, 75)(5, 89)(6, 79)(7, 73)(8, 90)(9, 94)(10, 81)(11, 84)(12, 74)(13, 78)(14, 93)(15, 101)(16, 95)(17, 86)(18, 77)(19, 102)(20, 97)(21, 80)(22, 83)(23, 100)(24, 104)(25, 88)(26, 107)(27, 105)(28, 106)(29, 99)(30, 87)(31, 98)(32, 108)(33, 91)(34, 92)(35, 96)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.589
Graph:: bipartite
	v = 16 e = 72 f = 10
	degree seq :: [ 6^12, 18^4 ]

E24.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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^-1 * Y2^-2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, (R * Y1)^2, Y3 * Y2^-1 * Y1^-3, Y1 * Y3 * Y1 * Y3^-2, Y3^4 * Y2^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 30, 66, 35, 71, 15, 51, 22, 58, 5, 41)(3, 39, 13, 49, 18, 54, 4, 40, 16, 52, 36, 72, 27, 63, 23, 59, 14, 50)(6, 42, 24, 60, 10, 46, 17, 53, 34, 70, 26, 62, 7, 43, 25, 61, 9, 45)(11, 47, 31, 67, 28, 64, 29, 65, 33, 69, 20, 56, 12, 48, 32, 68, 21, 57)(73, 109, 75, 111, 79, 115, 87, 123, 99, 135, 89, 125, 91, 127, 76, 112, 78, 114)(74, 110, 81, 117, 84, 120, 94, 130, 98, 134, 101, 137, 102, 138, 82, 118, 83, 119)(77, 113, 92, 128, 95, 131, 107, 143, 100, 136, 88, 124, 80, 116, 93, 129, 85, 121)(86, 122, 105, 141, 106, 142, 108, 144, 103, 139, 96, 132, 90, 126, 104, 140, 97, 133)
	L = (1, 76)(2, 82)(3, 78)(4, 89)(5, 93)(6, 91)(7, 73)(8, 100)(9, 83)(10, 101)(11, 102)(12, 74)(13, 80)(14, 104)(15, 75)(16, 107)(17, 87)(18, 103)(19, 99)(20, 85)(21, 88)(22, 81)(23, 77)(24, 108)(25, 90)(26, 84)(27, 79)(28, 95)(29, 94)(30, 98)(31, 106)(32, 96)(33, 97)(34, 86)(35, 92)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.584
Graph:: bipartite
	v = 8 e = 72 f = 18
	degree seq :: [ 18^8 ]

E24.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 * Y2^2, Y1 * Y2 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y3^-4, Y1^3 * Y2 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2, (Y3^2 * Y1^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 30, 66, 34, 70, 15, 51, 22, 58, 5, 41)(3, 39, 13, 49, 18, 54, 4, 40, 16, 52, 36, 72, 25, 61, 27, 63, 14, 50)(6, 42, 23, 59, 33, 69, 17, 53, 28, 64, 9, 45, 7, 43, 24, 60, 10, 46)(11, 47, 31, 67, 20, 56, 29, 65, 35, 71, 21, 57, 12, 48, 32, 68, 26, 62)(73, 109, 75, 111, 79, 115, 87, 123, 97, 133, 89, 125, 91, 127, 76, 112, 78, 114)(74, 110, 81, 117, 84, 120, 94, 130, 105, 141, 101, 137, 102, 138, 82, 118, 83, 119)(77, 113, 92, 128, 85, 121, 106, 142, 98, 134, 99, 135, 80, 116, 93, 129, 88, 124)(86, 122, 107, 143, 96, 132, 108, 144, 103, 139, 100, 136, 90, 126, 104, 140, 95, 131)
	L = (1, 76)(2, 82)(3, 78)(4, 89)(5, 93)(6, 91)(7, 73)(8, 98)(9, 83)(10, 101)(11, 102)(12, 74)(13, 77)(14, 104)(15, 75)(16, 80)(17, 87)(18, 103)(19, 97)(20, 88)(21, 99)(22, 81)(23, 90)(24, 86)(25, 79)(26, 85)(27, 106)(28, 108)(29, 94)(30, 105)(31, 96)(32, 100)(33, 84)(34, 92)(35, 95)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.585
Graph:: bipartite
	v = 8 e = 72 f = 18
	degree seq :: [ 18^8 ]

E24.596 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 6, 18})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2 * Y2^-1, Y1^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1^2 * Y3^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1, (Y3 * Y1^-1 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 8, 44, 22, 58, 7, 43)(2, 38, 10, 46, 18, 54, 5, 41, 20, 56, 12, 48)(3, 39, 14, 50, 19, 55, 6, 42, 21, 57, 16, 52)(9, 45, 24, 60, 27, 63, 11, 47, 28, 64, 26, 62)(13, 49, 30, 66, 33, 69, 15, 51, 34, 70, 32, 68)(23, 59, 29, 65, 36, 72, 25, 61, 31, 67, 35, 71)(73, 74, 80, 77)(75, 85, 78, 87)(76, 84, 94, 90)(79, 82, 89, 92)(81, 95, 83, 97)(86, 104, 93, 105)(88, 102, 91, 106)(96, 107, 100, 108)(98, 101, 99, 103)(109, 111, 116, 114)(110, 117, 113, 119)(112, 124, 130, 127)(115, 122, 125, 129)(118, 134, 128, 135)(120, 132, 126, 136)(121, 137, 123, 139)(131, 142, 133, 138)(140, 144, 141, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72^4 ), ( 72^12 ) }
Outer automorphisms :: reflexible
Dual of E24.599
Graph:: bipartite
	v = 24 e = 72 f = 2
	degree seq :: [ 4^18, 12^6 ]

E24.597 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 6, 18})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^16, (Y3 * Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 9, 45, 22, 58, 29, 65, 35, 71, 28, 64, 15, 51, 20, 56, 8, 44, 19, 55, 11, 47, 24, 60, 30, 66, 33, 69, 27, 63, 13, 49, 7, 43)(2, 38, 10, 46, 6, 42, 18, 54, 26, 62, 36, 72, 32, 68, 23, 59, 17, 53, 5, 41, 16, 52, 3, 39, 14, 50, 25, 61, 34, 70, 31, 67, 21, 57, 12, 48)(73, 74, 80, 77)(75, 85, 78, 87)(76, 84, 91, 89)(79, 82, 92, 88)(81, 93, 83, 95)(86, 99, 90, 100)(94, 103, 96, 104)(97, 105, 98, 107)(101, 106, 102, 108)(109, 111, 116, 114)(110, 117, 113, 119)(112, 124, 127, 118)(115, 122, 128, 126)(120, 130, 125, 132)(121, 133, 123, 134)(129, 137, 131, 138)(135, 142, 136, 144)(139, 143, 140, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^4 ), ( 24^36 ) }
Outer automorphisms :: reflexible
Dual of E24.598
Graph:: bipartite
	v = 20 e = 72 f = 6
	degree seq :: [ 4^18, 36^2 ]

E24.598 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 6, 18})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2 * Y2^-1, Y1^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1^2 * Y3^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1, (Y3 * Y1^-1 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 8, 44, 80, 116, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 18, 54, 90, 126, 5, 41, 77, 113, 20, 56, 92, 128, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 19, 55, 91, 127, 6, 42, 78, 114, 21, 57, 93, 129, 16, 52, 88, 124)(9, 45, 81, 117, 24, 60, 96, 132, 27, 63, 99, 135, 11, 47, 83, 119, 28, 64, 100, 136, 26, 62, 98, 134)(13, 49, 85, 121, 30, 66, 102, 138, 33, 69, 105, 141, 15, 51, 87, 123, 34, 70, 106, 142, 32, 68, 104, 140)(23, 59, 95, 131, 29, 65, 101, 137, 36, 72, 108, 144, 25, 61, 97, 133, 31, 67, 103, 139, 35, 71, 107, 143)
	L = (1, 38)(2, 44)(3, 49)(4, 48)(5, 37)(6, 51)(7, 46)(8, 41)(9, 59)(10, 53)(11, 61)(12, 58)(13, 42)(14, 68)(15, 39)(16, 66)(17, 56)(18, 40)(19, 70)(20, 43)(21, 69)(22, 54)(23, 47)(24, 71)(25, 45)(26, 65)(27, 67)(28, 72)(29, 63)(30, 55)(31, 62)(32, 57)(33, 50)(34, 52)(35, 64)(36, 60)(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, 125)(87, 139)(88, 130)(89, 129)(90, 136)(91, 112)(92, 135)(93, 115)(94, 127)(95, 142)(96, 126)(97, 138)(98, 128)(99, 118)(100, 120)(101, 123)(102, 131)(103, 121)(104, 144)(105, 143)(106, 133)(107, 140)(108, 141)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.597
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 20
	degree seq :: [ 24^6 ]

E24.599 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 6, 18})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^16, (Y3 * Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 9, 45, 81, 117, 22, 58, 94, 130, 29, 65, 101, 137, 35, 71, 107, 143, 28, 64, 100, 136, 15, 51, 87, 123, 20, 56, 92, 128, 8, 44, 80, 116, 19, 55, 91, 127, 11, 47, 83, 119, 24, 60, 96, 132, 30, 66, 102, 138, 33, 69, 105, 141, 27, 63, 99, 135, 13, 49, 85, 121, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 6, 42, 78, 114, 18, 54, 90, 126, 26, 62, 98, 134, 36, 72, 108, 144, 32, 68, 104, 140, 23, 59, 95, 131, 17, 53, 89, 125, 5, 41, 77, 113, 16, 52, 88, 124, 3, 39, 75, 111, 14, 50, 86, 122, 25, 61, 97, 133, 34, 70, 106, 142, 31, 67, 103, 139, 21, 57, 93, 129, 12, 48, 84, 120)
	L = (1, 38)(2, 44)(3, 49)(4, 48)(5, 37)(6, 51)(7, 46)(8, 41)(9, 57)(10, 56)(11, 59)(12, 55)(13, 42)(14, 63)(15, 39)(16, 43)(17, 40)(18, 64)(19, 53)(20, 52)(21, 47)(22, 67)(23, 45)(24, 68)(25, 69)(26, 71)(27, 54)(28, 50)(29, 70)(30, 72)(31, 60)(32, 58)(33, 62)(34, 66)(35, 61)(36, 65)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 122)(80, 114)(81, 113)(82, 112)(83, 110)(84, 130)(85, 133)(86, 128)(87, 134)(88, 127)(89, 132)(90, 115)(91, 118)(92, 126)(93, 137)(94, 125)(95, 138)(96, 120)(97, 123)(98, 121)(99, 142)(100, 144)(101, 131)(102, 129)(103, 143)(104, 141)(105, 139)(106, 136)(107, 140)(108, 135)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.596
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 24
	degree seq :: [ 72^2 ]

E24.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 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, (R * Y1)^2, Y1 * Y2 * Y1^-1 * Y2, (Y2^-1, Y3^-1), Y1^4, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2^-3 * Y1^-2, Y3 * Y2 * Y3^2 * Y2, Y1^-1 * Y3^-1 * Y2 * Y3^-2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1, Y3^2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 22, 58, 15, 51)(4, 40, 12, 48, 25, 61, 18, 54)(6, 42, 9, 45, 13, 49, 20, 56)(7, 43, 10, 46, 26, 62, 21, 57)(14, 50, 31, 67, 35, 71, 34, 70)(16, 52, 30, 66, 17, 53, 32, 68)(19, 55, 28, 64, 24, 60, 29, 65)(23, 59, 27, 63, 33, 69, 36, 72)(73, 109, 75, 111, 85, 121, 80, 116, 94, 130, 78, 114)(74, 110, 81, 117, 87, 123, 77, 113, 92, 128, 83, 119)(76, 112, 86, 122, 96, 132, 97, 133, 107, 143, 91, 127)(79, 115, 88, 124, 105, 141, 98, 134, 89, 125, 95, 131)(82, 118, 99, 135, 104, 140, 93, 129, 108, 144, 102, 138)(84, 120, 100, 136, 106, 142, 90, 126, 101, 137, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 93)(6, 91)(7, 73)(8, 97)(9, 99)(10, 101)(11, 102)(12, 74)(13, 96)(14, 95)(15, 104)(16, 75)(17, 94)(18, 77)(19, 98)(20, 108)(21, 100)(22, 107)(23, 78)(24, 79)(25, 88)(26, 80)(27, 103)(28, 81)(29, 92)(30, 90)(31, 83)(32, 84)(33, 85)(34, 87)(35, 105)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36, 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.603
Graph:: bipartite
	v = 15 e = 72 f = 11
	degree seq :: [ 8^9, 12^6 ]

E24.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 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, (R * Y1)^2, (Y3^-1, Y2), Y1 * Y2 * Y1^-1 * Y2, Y1^4, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (R * Y2^-1)^2, Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^-2 * Y1^2 * Y2^-1, Y3 * Y2 * Y3^2 * Y1^-2, Y3 * Y1^-2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 22, 58, 15, 51)(4, 40, 12, 48, 25, 61, 18, 54)(6, 42, 9, 45, 13, 49, 20, 56)(7, 43, 10, 46, 26, 62, 21, 57)(14, 50, 31, 67, 24, 60, 29, 65)(16, 52, 30, 66, 36, 72, 34, 70)(17, 53, 32, 68, 23, 59, 27, 63)(19, 55, 28, 64, 33, 69, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 94, 130, 78, 114)(74, 110, 81, 117, 87, 123, 77, 113, 92, 128, 83, 119)(76, 112, 86, 122, 105, 141, 97, 133, 96, 132, 91, 127)(79, 115, 88, 124, 89, 125, 98, 134, 108, 144, 95, 131)(82, 118, 99, 135, 106, 142, 93, 129, 104, 140, 102, 138)(84, 120, 100, 136, 101, 137, 90, 126, 107, 143, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 93)(6, 91)(7, 73)(8, 97)(9, 99)(10, 101)(11, 102)(12, 74)(13, 105)(14, 98)(15, 106)(16, 75)(17, 85)(18, 77)(19, 88)(20, 104)(21, 103)(22, 96)(23, 78)(24, 79)(25, 95)(26, 80)(27, 90)(28, 81)(29, 87)(30, 100)(31, 83)(32, 84)(33, 108)(34, 107)(35, 92)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36, 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.602
Graph:: bipartite
	v = 15 e = 72 f = 11
	degree seq :: [ 8^9, 12^6 ]

E24.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 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^-2 * Y3, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y2^-2 * Y3, Y2 * Y1^-1 * Y2 * Y3^4, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 15, 51, 23, 59, 31, 67, 28, 64, 25, 61, 12, 48, 21, 57, 27, 63, 36, 72, 34, 70, 20, 56, 18, 54, 7, 43, 5, 41)(3, 39, 11, 47, 13, 49, 26, 62, 29, 65, 32, 68, 24, 60, 16, 52, 10, 46, 6, 42, 17, 53, 19, 55, 33, 69, 35, 71, 30, 66, 22, 58, 14, 50, 8, 44)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 93, 129, 82, 118)(76, 112, 86, 122, 99, 135, 88, 124)(77, 113, 83, 119, 97, 133, 89, 125)(79, 115, 85, 121, 100, 136, 91, 127)(81, 117, 94, 130, 108, 144, 96, 132)(87, 123, 102, 138, 106, 142, 104, 140)(90, 126, 98, 134, 103, 139, 105, 141)(92, 128, 101, 137, 95, 131, 107, 143)
	L = (1, 76)(2, 81)(3, 85)(4, 87)(5, 74)(6, 91)(7, 73)(8, 83)(9, 95)(10, 89)(11, 98)(12, 99)(13, 101)(14, 75)(15, 103)(16, 78)(17, 105)(18, 77)(19, 107)(20, 79)(21, 108)(22, 80)(23, 100)(24, 82)(25, 93)(26, 104)(27, 106)(28, 84)(29, 96)(30, 86)(31, 97)(32, 88)(33, 102)(34, 90)(35, 94)(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, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.601
Graph:: bipartite
	v = 11 e = 72 f = 15
	degree seq :: [ 8^9, 36^2 ]

E24.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 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 * Y2 * Y1 * Y2^-1, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y2 * Y3^-2, Y1^-4 * Y3^-1, Y1^-1 * Y2^2 * Y3^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 7, 43, 12, 48, 27, 63, 36, 72, 24, 60, 14, 50, 17, 53, 29, 65, 33, 69, 18, 54, 4, 40, 10, 46, 20, 56, 5, 41)(3, 39, 13, 49, 31, 67, 28, 64, 16, 52, 23, 59, 35, 71, 26, 62, 11, 47, 6, 42, 21, 57, 34, 70, 30, 66, 19, 55, 15, 51, 32, 68, 25, 61, 9, 45)(73, 109, 75, 111, 86, 122, 78, 114)(74, 110, 81, 117, 89, 125, 83, 119)(76, 112, 88, 124, 84, 120, 91, 127)(77, 113, 85, 121, 96, 132, 93, 129)(79, 115, 87, 123, 90, 126, 95, 131)(80, 116, 97, 133, 101, 137, 98, 134)(82, 118, 100, 136, 99, 135, 102, 138)(92, 128, 103, 139, 108, 144, 106, 142)(94, 130, 104, 140, 105, 141, 107, 143)
	L = (1, 76)(2, 82)(3, 87)(4, 89)(5, 90)(6, 95)(7, 73)(8, 92)(9, 91)(10, 101)(11, 88)(12, 74)(13, 104)(14, 84)(15, 93)(16, 75)(17, 99)(18, 86)(19, 78)(20, 105)(21, 107)(22, 77)(23, 85)(24, 79)(25, 102)(26, 100)(27, 80)(28, 81)(29, 108)(30, 83)(31, 97)(32, 106)(33, 96)(34, 98)(35, 103)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.600
Graph:: bipartite
	v = 11 e = 72 f = 15
	degree seq :: [ 8^9, 36^2 ]

E24.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y1 * Y2^-1 * Y1, Y2^2 * Y3^-1 * Y2^2 * Y3^-3 * Y2, Y2^-1 * Y3^8, 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 ]
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, 16, 52)(12, 48, 17, 53)(13, 49, 18, 54)(14, 50, 19, 55)(15, 51, 20, 56)(21, 57, 25, 61)(22, 58, 26, 62)(23, 59, 27, 63)(24, 60, 28, 64)(29, 65, 33, 69)(30, 66, 34, 70)(31, 67, 35, 71)(32, 68, 36, 72)(73, 109, 75, 111, 83, 119, 93, 129, 101, 137, 103, 139, 96, 132, 86, 122, 77, 113)(74, 110, 79, 115, 88, 124, 97, 133, 105, 141, 107, 143, 100, 136, 91, 127, 81, 117)(76, 112, 84, 120, 78, 114, 85, 121, 94, 130, 102, 138, 104, 140, 95, 131, 87, 123)(80, 116, 89, 125, 82, 118, 90, 126, 98, 134, 106, 142, 108, 144, 99, 135, 92, 128)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 89)(8, 91)(9, 92)(10, 74)(11, 78)(12, 77)(13, 75)(14, 95)(15, 96)(16, 82)(17, 81)(18, 79)(19, 99)(20, 100)(21, 85)(22, 83)(23, 103)(24, 104)(25, 90)(26, 88)(27, 107)(28, 108)(29, 94)(30, 93)(31, 102)(32, 101)(33, 98)(34, 97)(35, 106)(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) :: { ( 36^4 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E24.611
Graph:: simple bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3^-1, Y2^-1), Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-2, Y3^-2 * Y1^2 * Y2^2 * Y1 * Y3^-2, Y3^-2 * Y1^7, 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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 29, 65, 33, 69, 26, 62, 15, 51, 5, 41)(3, 39, 9, 45, 20, 56, 30, 66, 36, 72, 27, 63, 18, 54, 6, 42, 11, 47)(4, 40, 10, 46, 7, 43, 12, 48, 21, 57, 31, 67, 34, 70, 25, 61, 16, 52)(13, 49, 22, 58, 14, 50, 23, 59, 32, 68, 35, 71, 28, 64, 17, 53, 24, 60)(73, 109, 75, 111, 80, 116, 92, 128, 101, 137, 108, 144, 98, 134, 90, 126, 77, 113, 83, 119, 74, 110, 81, 117, 91, 127, 102, 138, 105, 141, 99, 135, 87, 123, 78, 114)(76, 112, 85, 121, 79, 115, 86, 122, 93, 129, 104, 140, 106, 142, 100, 136, 88, 124, 96, 132, 82, 118, 94, 130, 84, 120, 95, 131, 103, 139, 107, 143, 97, 133, 89, 125)
	L = (1, 76)(2, 82)(3, 85)(4, 87)(5, 88)(6, 89)(7, 73)(8, 79)(9, 94)(10, 77)(11, 96)(12, 74)(13, 78)(14, 75)(15, 97)(16, 98)(17, 99)(18, 100)(19, 84)(20, 86)(21, 80)(22, 83)(23, 81)(24, 90)(25, 105)(26, 106)(27, 107)(28, 108)(29, 93)(30, 95)(31, 91)(32, 92)(33, 103)(34, 101)(35, 102)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.610
Graph:: bipartite
	v = 6 e = 72 f = 20
	degree seq :: [ 18^4, 36^2 ]

E24.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, (R * Y1)^2, Y3^-2 * Y1^-2, (Y2, Y1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y2^-4 * Y1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1^3 * Y2, (Y3 * Y2^-1 * Y1^-1)^2, Y3^-2 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 21, 57, 13, 49, 27, 63, 17, 53, 5, 41)(3, 39, 9, 45, 24, 60, 20, 56, 6, 42, 11, 47, 25, 61, 34, 70, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 26, 62, 32, 68, 36, 72, 33, 69, 18, 54)(14, 50, 28, 64, 16, 52, 29, 65, 19, 55, 30, 66, 22, 58, 31, 67, 35, 71)(73, 109, 75, 111, 85, 121, 83, 119, 74, 110, 81, 117, 99, 135, 97, 133, 80, 116, 96, 132, 89, 125, 106, 142, 95, 131, 92, 128, 77, 113, 87, 123, 93, 129, 78, 114)(76, 112, 86, 122, 104, 140, 102, 138, 82, 118, 100, 136, 108, 144, 94, 130, 79, 115, 88, 124, 105, 141, 103, 139, 84, 120, 101, 137, 90, 126, 107, 143, 98, 134, 91, 127)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 100)(10, 77)(11, 102)(12, 74)(13, 104)(14, 106)(15, 107)(16, 75)(17, 105)(18, 99)(19, 96)(20, 101)(21, 98)(22, 78)(23, 84)(24, 88)(25, 94)(26, 80)(27, 108)(28, 87)(29, 81)(30, 92)(31, 83)(32, 95)(33, 85)(34, 103)(35, 97)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.608
Graph:: bipartite
	v = 6 e = 72 f = 20
	degree seq :: [ 18^4, 36^2 ]

E24.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^3 * Y1 * Y3^-1 * Y1, Y3^-2 * Y1^2 * Y3^-1 * Y1 * Y3^-3, Y3 * Y2 * Y3^3 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 27, 63, 33, 69, 26, 62, 15, 51, 5, 41)(3, 39, 6, 42, 10, 46, 20, 56, 28, 64, 35, 71, 32, 68, 23, 59, 13, 49)(4, 40, 9, 45, 7, 43, 11, 47, 21, 57, 29, 65, 34, 70, 25, 61, 16, 52)(12, 48, 17, 53, 14, 50, 18, 54, 22, 58, 30, 66, 36, 72, 31, 67, 24, 60)(73, 109, 75, 111, 77, 113, 85, 121, 87, 123, 95, 131, 98, 134, 104, 140, 105, 141, 107, 143, 99, 135, 100, 136, 91, 127, 92, 128, 80, 116, 82, 118, 74, 110, 78, 114)(76, 112, 84, 120, 88, 124, 96, 132, 97, 133, 103, 139, 106, 142, 108, 144, 101, 137, 102, 138, 93, 129, 94, 130, 83, 119, 90, 126, 79, 115, 86, 122, 81, 117, 89, 125)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 88)(6, 89)(7, 73)(8, 79)(9, 77)(10, 86)(11, 74)(12, 95)(13, 96)(14, 75)(15, 97)(16, 98)(17, 85)(18, 78)(19, 83)(20, 90)(21, 80)(22, 82)(23, 103)(24, 104)(25, 105)(26, 106)(27, 93)(28, 94)(29, 91)(30, 92)(31, 107)(32, 108)(33, 101)(34, 99)(35, 102)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.609
Graph:: bipartite
	v = 6 e = 72 f = 20
	degree seq :: [ 18^4, 36^2 ]

E24.608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y1)^2, (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3 * Y2, Y3^-2 * Y1^2, (R * Y1)^2, Y3^2 * Y2 * Y1^-2 * Y2, Y1^-3 * Y2 * Y3^-1 * Y1^-5, Y1^2 * Y3^7 * Y2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 16, 52, 25, 61, 33, 69, 30, 66, 22, 58, 13, 49, 20, 56, 11, 47, 19, 55, 28, 64, 36, 72, 31, 67, 23, 59, 14, 50, 5, 41)(3, 39, 8, 44, 17, 53, 26, 62, 34, 70, 32, 68, 24, 60, 15, 51, 6, 42, 10, 46, 4, 40, 9, 45, 18, 54, 27, 63, 35, 71, 29, 65, 21, 57, 12, 48)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 89, 125)(81, 117, 91, 127)(82, 118, 92, 128)(86, 122, 93, 129)(87, 123, 94, 130)(88, 124, 98, 134)(90, 126, 100, 136)(95, 131, 101, 137)(96, 132, 102, 138)(97, 133, 106, 142)(99, 135, 108, 144)(103, 139, 107, 143)(104, 140, 105, 141)
	L = (1, 76)(2, 81)(3, 83)(4, 79)(5, 82)(6, 73)(7, 90)(8, 91)(9, 88)(10, 74)(11, 89)(12, 92)(13, 75)(14, 78)(15, 77)(16, 99)(17, 100)(18, 97)(19, 98)(20, 80)(21, 85)(22, 84)(23, 87)(24, 86)(25, 107)(26, 108)(27, 105)(28, 106)(29, 94)(30, 93)(31, 96)(32, 95)(33, 101)(34, 103)(35, 102)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.606
Graph:: bipartite
	v = 20 e = 72 f = 6
	degree seq :: [ 4^18, 36^2 ]

E24.609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y1)^2, Y1^-2 * Y2 * Y3^-1, Y3^-9 * Y2, (Y3^4 * Y1^-1)^2, Y3^-1 * Y1^14 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 15, 51, 14, 50, 18, 54, 24, 60, 31, 67, 30, 66, 34, 70, 28, 64, 33, 69, 27, 63, 21, 57, 12, 48, 17, 53, 11, 47, 5, 41)(3, 39, 8, 44, 6, 42, 10, 46, 16, 52, 23, 59, 22, 58, 26, 62, 32, 68, 36, 72, 35, 71, 29, 65, 20, 56, 25, 61, 19, 55, 13, 49, 4, 40, 9, 45)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 81, 117)(78, 114, 79, 115)(82, 118, 87, 123)(84, 120, 91, 127)(85, 121, 89, 125)(86, 122, 88, 124)(90, 126, 95, 131)(92, 128, 99, 135)(93, 129, 97, 133)(94, 130, 96, 132)(98, 134, 103, 139)(100, 136, 107, 143)(101, 137, 105, 141)(102, 138, 104, 140)(106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 84)(5, 85)(6, 73)(7, 75)(8, 77)(9, 89)(10, 74)(11, 91)(12, 92)(13, 93)(14, 78)(15, 80)(16, 79)(17, 97)(18, 82)(19, 99)(20, 100)(21, 101)(22, 86)(23, 87)(24, 88)(25, 105)(26, 90)(27, 107)(28, 104)(29, 106)(30, 94)(31, 95)(32, 96)(33, 108)(34, 98)(35, 102)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.607
Graph:: bipartite
	v = 20 e = 72 f = 6
	degree seq :: [ 4^18, 36^2 ]

E24.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3^-1 * Y2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2 * Y1, Y3^4 * Y1^2, Y3 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 11, 47, 23, 59, 33, 69, 31, 67, 14, 50, 25, 61, 18, 54, 26, 62, 34, 70, 28, 64, 13, 49, 24, 60, 16, 52, 5, 41)(3, 39, 8, 44, 20, 56, 15, 51, 4, 40, 9, 45, 21, 57, 32, 68, 27, 63, 35, 71, 29, 65, 36, 72, 30, 66, 17, 53, 6, 42, 10, 46, 22, 58, 12, 48)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 92, 128)(81, 117, 95, 131)(82, 118, 96, 132)(86, 122, 99, 135)(87, 123, 91, 127)(88, 124, 94, 130)(89, 125, 100, 136)(90, 126, 101, 137)(93, 129, 105, 141)(97, 133, 107, 143)(98, 134, 108, 144)(102, 138, 106, 142)(103, 139, 104, 140)
	L = (1, 76)(2, 81)(3, 83)(4, 86)(5, 87)(6, 73)(7, 93)(8, 95)(9, 97)(10, 74)(11, 99)(12, 91)(13, 75)(14, 102)(15, 103)(16, 92)(17, 77)(18, 78)(19, 104)(20, 105)(21, 90)(22, 79)(23, 107)(24, 80)(25, 89)(26, 82)(27, 106)(28, 84)(29, 85)(30, 88)(31, 108)(32, 98)(33, 101)(34, 94)(35, 100)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.605
Graph:: bipartite
	v = 20 e = 72 f = 6
	degree seq :: [ 4^18, 36^2 ]

E24.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), Y2^-1 * Y3^2 * Y2^-1, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y1, Y3^-1), (R * Y2)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-2, Y3^-1 * Y2^-4 * Y1^-1, (Y3^-1 * Y1^-2)^2, Y1^-1 * Y3^-2 * Y1^-3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y3^-5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 21, 57, 31, 67, 17, 53, 4, 40, 10, 46, 25, 61, 20, 56, 7, 43, 12, 48, 27, 63, 13, 49, 28, 64, 18, 54, 5, 41)(3, 39, 9, 45, 24, 60, 19, 55, 6, 42, 11, 47, 26, 62, 14, 50, 29, 65, 35, 71, 34, 70, 16, 52, 30, 66, 36, 72, 33, 69, 22, 58, 32, 68, 15, 51)(73, 109, 75, 111, 85, 121, 105, 141, 92, 128, 106, 142, 89, 125, 98, 134, 80, 116, 96, 132, 90, 126, 104, 140, 84, 120, 102, 138, 82, 118, 101, 137, 93, 129, 78, 114)(74, 110, 81, 117, 100, 136, 94, 130, 79, 115, 88, 124, 76, 112, 86, 122, 95, 131, 91, 127, 77, 113, 87, 123, 99, 135, 108, 144, 97, 133, 107, 143, 103, 139, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 89)(6, 88)(7, 73)(8, 97)(9, 101)(10, 100)(11, 102)(12, 74)(13, 95)(14, 105)(15, 98)(16, 75)(17, 99)(18, 103)(19, 106)(20, 77)(21, 79)(22, 78)(23, 92)(24, 107)(25, 90)(26, 108)(27, 80)(28, 93)(29, 94)(30, 81)(31, 84)(32, 83)(33, 91)(34, 87)(35, 104)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 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 E24.604
Graph:: bipartite
	v = 4 e = 72 f = 22
	degree seq :: [ 36^4 ]

E24.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, Y2^4, (R * Y2)^2, Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y3^-3 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-2 * Y3^-1 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 23, 59, 29, 65)(13, 49, 24, 60, 22, 58)(15, 51, 25, 61, 31, 67)(16, 52, 26, 62, 21, 57)(18, 54, 27, 63, 34, 70)(28, 64, 35, 71, 32, 68)(30, 66, 33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 95, 131, 82, 118)(76, 112, 85, 121, 100, 136, 90, 126)(77, 113, 86, 122, 101, 137, 91, 127)(79, 115, 87, 123, 102, 138, 93, 129)(81, 117, 96, 132, 107, 143, 99, 135)(83, 119, 97, 133, 105, 141, 88, 124)(89, 125, 94, 130, 104, 140, 106, 142)(92, 128, 103, 139, 108, 144, 98, 134)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 96)(9, 98)(10, 99)(11, 74)(12, 100)(13, 83)(14, 94)(15, 75)(16, 82)(17, 93)(18, 105)(19, 106)(20, 77)(21, 78)(22, 79)(23, 107)(24, 92)(25, 80)(26, 91)(27, 108)(28, 97)(29, 104)(30, 84)(31, 86)(32, 87)(33, 95)(34, 102)(35, 103)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.618
Graph:: simple bipartite
	v = 21 e = 72 f = 5
	degree seq :: [ 6^12, 8^9 ]

E24.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (Y3^-1, Y2^-1), Y2^4, (R * Y1)^2, Y3 * Y2 * Y1 * Y3^2, Y3 * Y2 * Y3^2 * Y1, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y1^-1 * Y2)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 23, 59, 29, 65)(13, 49, 22, 58, 27, 63)(15, 51, 24, 60, 31, 67)(16, 52, 21, 57, 26, 62)(18, 54, 25, 61, 34, 70)(28, 64, 32, 68, 36, 72)(30, 66, 35, 71, 33, 69)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 95, 131, 82, 118)(76, 112, 85, 121, 100, 136, 90, 126)(77, 113, 86, 122, 101, 137, 91, 127)(79, 115, 87, 123, 102, 138, 93, 129)(81, 117, 94, 130, 104, 140, 97, 133)(83, 119, 96, 132, 107, 143, 98, 134)(88, 124, 92, 128, 103, 139, 105, 141)(89, 125, 99, 135, 108, 144, 106, 142)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 94)(9, 93)(10, 97)(11, 74)(12, 100)(13, 92)(14, 99)(15, 75)(16, 91)(17, 98)(18, 105)(19, 106)(20, 77)(21, 78)(22, 79)(23, 104)(24, 80)(25, 102)(26, 82)(27, 83)(28, 103)(29, 108)(30, 84)(31, 86)(32, 87)(33, 101)(34, 107)(35, 95)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.619
Graph:: simple bipartite
	v = 21 e = 72 f = 5
	degree seq :: [ 6^12, 8^9 ]

E24.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3^-1), Y1 * Y3^-3, (Y2^-1, Y1^-1), (Y3^-1, Y2), (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, Y2^3 * Y3^-1 * Y1^-1, Y1^-2 * Y3 * Y1^-2 * Y3^-1, Y3 * Y1^2 * Y2 * Y3 * Y2^2, Y2 * Y1^-1 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 23, 59, 15, 51)(4, 40, 10, 46, 24, 60, 17, 53)(6, 42, 11, 47, 25, 61, 19, 55)(7, 43, 12, 48, 26, 62, 20, 56)(13, 49, 27, 63, 33, 69, 18, 54)(14, 50, 28, 64, 36, 72, 32, 68)(16, 52, 29, 65, 34, 70, 21, 57)(22, 58, 30, 66, 31, 67, 35, 71)(73, 109, 75, 111, 85, 121, 82, 118, 100, 136, 107, 143, 92, 128, 93, 129, 78, 114)(74, 110, 81, 117, 99, 135, 96, 132, 108, 144, 94, 130, 79, 115, 88, 124, 83, 119)(76, 112, 86, 122, 103, 139, 98, 134, 106, 142, 91, 127, 77, 113, 87, 123, 90, 126)(80, 116, 95, 131, 105, 141, 89, 125, 104, 140, 102, 138, 84, 120, 101, 137, 97, 133)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 90)(7, 73)(8, 96)(9, 100)(10, 98)(11, 85)(12, 74)(13, 103)(14, 101)(15, 104)(16, 75)(17, 79)(18, 102)(19, 105)(20, 77)(21, 87)(22, 78)(23, 108)(24, 92)(25, 99)(26, 80)(27, 107)(28, 106)(29, 81)(30, 83)(31, 97)(32, 88)(33, 94)(34, 95)(35, 91)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.616
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), Y1^4, Y3 * Y1 * Y2^3, Y2 * Y3 * Y2^2 * Y1, (Y1^-1 * Y3^-1)^3, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 23, 59, 15, 51)(4, 40, 10, 46, 24, 60, 17, 53)(6, 42, 11, 47, 25, 61, 19, 55)(7, 43, 12, 48, 26, 62, 20, 56)(13, 49, 22, 58, 30, 66, 31, 67)(14, 50, 21, 57, 29, 65, 33, 69)(16, 52, 27, 63, 36, 72, 34, 70)(18, 54, 28, 64, 32, 68, 35, 71)(73, 109, 75, 111, 85, 121, 92, 128, 106, 142, 100, 136, 82, 118, 93, 129, 78, 114)(74, 110, 81, 117, 94, 130, 79, 115, 88, 124, 104, 140, 96, 132, 101, 137, 83, 119)(76, 112, 86, 122, 91, 127, 77, 113, 87, 123, 103, 139, 98, 134, 108, 144, 90, 126)(80, 116, 95, 131, 102, 138, 84, 120, 99, 135, 107, 143, 89, 125, 105, 141, 97, 133)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 90)(7, 73)(8, 96)(9, 93)(10, 98)(11, 100)(12, 74)(13, 91)(14, 99)(15, 105)(16, 75)(17, 79)(18, 102)(19, 107)(20, 77)(21, 108)(22, 78)(23, 101)(24, 92)(25, 104)(26, 80)(27, 81)(28, 103)(29, 106)(30, 83)(31, 97)(32, 85)(33, 88)(34, 87)(35, 94)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 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 E24.617
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 8^9, 18^4 ]

E24.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), Y3^4 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 4, 40, 10, 46, 23, 59, 16, 52, 27, 63, 32, 68, 15, 51, 26, 62, 14, 50, 3, 39, 9, 45, 22, 58, 13, 49, 25, 61, 35, 71, 31, 67, 36, 72, 33, 69, 20, 56, 29, 65, 18, 54, 6, 42, 11, 47, 24, 60, 17, 53, 28, 64, 34, 70, 21, 57, 30, 66, 19, 55, 7, 43, 12, 48, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 86, 122, 90, 126)(79, 115, 87, 123, 92, 128)(80, 116, 94, 130, 96, 132)(82, 118, 97, 133, 100, 136)(84, 120, 98, 134, 101, 137)(88, 124, 103, 139, 93, 129)(91, 127, 104, 140, 105, 141)(95, 131, 107, 143, 106, 142)(99, 135, 108, 144, 102, 138)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 80)(6, 89)(7, 73)(8, 95)(9, 97)(10, 99)(11, 100)(12, 74)(13, 103)(14, 94)(15, 75)(16, 87)(17, 93)(18, 96)(19, 77)(20, 78)(21, 79)(22, 107)(23, 104)(24, 106)(25, 108)(26, 81)(27, 98)(28, 102)(29, 83)(30, 84)(31, 92)(32, 86)(33, 90)(34, 91)(35, 105)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.614
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 6^12, 72 ]

E24.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2^-1), (Y1^-1, Y2), (Y1^-1, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^3 * Y2^-1, Y3^-4 * Y2, Y3^-1 * Y1 * Y2^-1 * Y1^2, (Y2 * Y3^2)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 13, 49, 26, 62, 36, 72, 23, 59, 30, 66, 32, 68, 15, 51, 27, 63, 20, 56, 6, 42, 11, 47, 17, 53, 4, 40, 10, 46, 25, 61, 31, 67, 34, 70, 21, 57, 7, 43, 12, 48, 14, 50, 3, 39, 9, 45, 24, 60, 18, 54, 29, 65, 33, 69, 16, 52, 28, 64, 35, 71, 22, 58, 19, 55, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 94, 130)(80, 116, 96, 132, 89, 125)(82, 118, 98, 134, 101, 137)(84, 120, 99, 135, 91, 127)(88, 124, 103, 139, 95, 131)(93, 129, 104, 140, 107, 143)(97, 133, 108, 144, 105, 141)(100, 136, 106, 142, 102, 138)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 97)(9, 98)(10, 100)(11, 101)(12, 74)(13, 103)(14, 80)(15, 75)(16, 87)(17, 105)(18, 95)(19, 83)(20, 96)(21, 77)(22, 78)(23, 79)(24, 108)(25, 107)(26, 106)(27, 81)(28, 99)(29, 102)(30, 84)(31, 94)(32, 86)(33, 104)(34, 91)(35, 92)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.615
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 6^12, 72 ]

E24.618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y3^-1), (Y2^-1, Y1^-1), (Y1, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^2, Y2 * Y1 * Y2 * Y3^2, Y2 * Y1 * Y3^-1 * Y1^2, (Y1^-1 * Y2^2)^2, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1, (Y2^-1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 28, 64, 34, 70, 16, 52, 20, 56, 5, 41)(3, 39, 9, 45, 18, 54, 4, 40, 10, 46, 26, 62, 32, 68, 33, 69, 15, 51)(6, 42, 11, 47, 27, 63, 35, 71, 36, 72, 22, 58, 7, 43, 12, 48, 21, 57)(13, 49, 25, 61, 31, 67, 14, 50, 24, 60, 30, 66, 17, 53, 23, 59, 29, 65)(73, 109, 75, 111, 85, 121, 99, 135, 80, 116, 90, 126, 103, 139, 108, 144, 100, 136, 82, 118, 96, 132, 79, 115, 88, 124, 104, 140, 89, 125, 93, 129, 77, 113, 87, 123, 101, 137, 83, 119, 74, 110, 81, 117, 97, 133, 107, 143, 91, 127, 76, 112, 86, 122, 94, 130, 106, 142, 98, 134, 102, 138, 84, 120, 92, 128, 105, 141, 95, 131, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 98)(9, 96)(10, 95)(11, 100)(12, 74)(13, 94)(14, 93)(15, 103)(16, 75)(17, 99)(18, 102)(19, 104)(20, 81)(21, 80)(22, 77)(23, 107)(24, 78)(25, 79)(26, 101)(27, 106)(28, 105)(29, 108)(30, 83)(31, 84)(32, 85)(33, 97)(34, 87)(35, 88)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 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 E24.612
Graph:: bipartite
	v = 5 e = 72 f = 21
	degree seq :: [ 18^4, 72 ]

E24.619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y3^-1, Y2), (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^2 * Y2, Y1 * Y2^-1 * Y1 * Y3 * Y1, Y2^3 * Y1 * Y2, Y3 * Y1 * Y2 * Y3^2, Y3 * Y2^-2 * Y3 * Y2^-1 * Y3, (Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 16, 52, 28, 64, 35, 71, 19, 55, 20, 56, 5, 41)(3, 39, 9, 45, 26, 62, 32, 68, 34, 70, 18, 54, 4, 40, 10, 46, 15, 51)(6, 42, 11, 47, 22, 58, 7, 43, 12, 48, 27, 63, 33, 69, 36, 72, 21, 57)(13, 49, 23, 59, 29, 65, 17, 53, 24, 60, 30, 66, 14, 50, 25, 61, 31, 67)(73, 109, 75, 111, 85, 121, 93, 129, 77, 113, 87, 123, 103, 139, 108, 144, 92, 128, 82, 118, 97, 133, 105, 141, 91, 127, 76, 112, 86, 122, 99, 135, 107, 143, 90, 126, 102, 138, 84, 120, 100, 136, 106, 142, 96, 132, 79, 115, 88, 124, 104, 140, 89, 125, 94, 130, 80, 116, 98, 134, 101, 137, 83, 119, 74, 110, 81, 117, 95, 131, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 87)(9, 97)(10, 96)(11, 92)(12, 74)(13, 99)(14, 94)(15, 102)(16, 75)(17, 93)(18, 101)(19, 104)(20, 106)(21, 107)(22, 77)(23, 105)(24, 78)(25, 79)(26, 103)(27, 80)(28, 81)(29, 108)(30, 83)(31, 84)(32, 85)(33, 88)(34, 95)(35, 98)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 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 E24.613
Graph:: bipartite
	v = 5 e = 72 f = 21
	degree seq :: [ 18^4, 72 ]

E24.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 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, Y2^-1), Y2^3 * Y1^-1, (Y3^-1, Y1), (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4 * Y1^-1 * Y2^-1, Y3^2 * Y2 * Y1 * Y3^2 * Y2, (Y2^-1 * Y1^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 29, 65)(14, 50, 23, 59, 30, 66)(15, 51, 24, 60, 31, 67)(17, 53, 25, 61, 32, 68)(20, 56, 26, 62, 33, 69)(21, 57, 27, 63, 34, 70)(28, 64, 35, 71, 36, 72)(73, 109, 75, 111, 82, 118, 74, 110, 80, 116, 90, 126, 77, 113, 85, 121, 78, 114)(76, 112, 84, 120, 97, 133, 81, 117, 94, 130, 104, 140, 88, 124, 101, 137, 89, 125)(79, 115, 86, 122, 98, 134, 83, 119, 95, 131, 105, 141, 91, 127, 102, 138, 92, 128)(87, 123, 100, 136, 106, 142, 96, 132, 107, 143, 93, 129, 103, 139, 108, 144, 99, 135)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 100)(13, 101)(14, 75)(15, 95)(16, 103)(17, 99)(18, 104)(19, 77)(20, 78)(21, 79)(22, 107)(23, 80)(24, 102)(25, 106)(26, 82)(27, 83)(28, 105)(29, 108)(30, 85)(31, 86)(32, 93)(33, 90)(34, 91)(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) :: { ( 8, 72, 8, 72, 8, 72 ), ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.623
Graph:: bipartite
	v = 16 e = 72 f = 10
	degree seq :: [ 6^12, 18^4 ]

E24.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3 * Y1, (Y2^-1, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^-4 * Y2 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 12, 48)(7, 43, 11, 47, 19, 55)(13, 49, 22, 58, 31, 67)(15, 51, 23, 59, 32, 68)(16, 52, 24, 60, 33, 69)(18, 54, 25, 61, 28, 64)(20, 56, 26, 62, 29, 65)(21, 57, 27, 63, 34, 70)(30, 66, 36, 72, 35, 71)(73, 109, 75, 111, 84, 120, 77, 113, 86, 122, 82, 118, 74, 110, 80, 116, 78, 114)(76, 112, 85, 121, 100, 136, 89, 125, 103, 139, 97, 133, 81, 117, 94, 130, 90, 126)(79, 115, 87, 123, 101, 137, 91, 127, 104, 140, 98, 134, 83, 119, 95, 131, 92, 128)(88, 124, 102, 138, 99, 135, 105, 141, 107, 143, 93, 129, 96, 132, 108, 144, 106, 142)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 100)(13, 102)(14, 103)(15, 75)(16, 104)(17, 105)(18, 106)(19, 77)(20, 78)(21, 79)(22, 108)(23, 80)(24, 87)(25, 93)(26, 82)(27, 83)(28, 99)(29, 84)(30, 98)(31, 107)(32, 86)(33, 95)(34, 91)(35, 92)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 72, 8, 72, 8, 72 ), ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.622
Graph:: bipartite
	v = 16 e = 72 f = 10
	degree seq :: [ 6^12, 18^4 ]

E24.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), Y2^-1 * Y3^-1 * Y2^-2, Y3^3 * Y1^-1, Y1^4, (R * Y2)^2, (R * Y3)^2, (Y1, Y2), (R * Y1)^2, (Y3, Y2), Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 10, 46, 22, 58, 17, 53)(6, 42, 11, 47, 23, 59, 19, 55)(7, 43, 12, 48, 24, 60, 20, 56)(13, 49, 25, 61, 33, 69, 29, 65)(14, 50, 26, 62, 34, 70, 31, 67)(16, 52, 27, 63, 35, 71, 32, 68)(18, 54, 28, 64, 36, 72, 30, 66)(73, 109, 75, 111, 85, 121, 79, 115, 88, 124, 102, 138, 89, 125, 103, 139, 91, 127, 77, 113, 87, 123, 101, 137, 92, 128, 104, 140, 108, 144, 94, 130, 106, 142, 95, 131, 80, 116, 93, 129, 105, 141, 96, 132, 107, 143, 100, 136, 82, 118, 98, 134, 83, 119, 74, 110, 81, 117, 97, 133, 84, 120, 99, 135, 90, 126, 76, 112, 86, 122, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 90)(7, 73)(8, 94)(9, 98)(10, 96)(11, 100)(12, 74)(13, 78)(14, 99)(15, 103)(16, 75)(17, 79)(18, 97)(19, 102)(20, 77)(21, 106)(22, 92)(23, 108)(24, 80)(25, 83)(26, 107)(27, 81)(28, 105)(29, 91)(30, 85)(31, 88)(32, 87)(33, 95)(34, 104)(35, 93)(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, 18, 6, 18, 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.621
Graph:: bipartite
	v = 10 e = 72 f = 16
	degree seq :: [ 8^9, 72 ]

E24.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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^-1, Y1^-1), Y1^4, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^3, (Y3, Y2), (Y1, Y3), (R * Y3)^2, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-2, Y3^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3^2 * Y2^2, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-2, Y3^-1 * Y2^30 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 23, 59, 15, 51)(4, 40, 10, 46, 24, 60, 17, 53)(6, 42, 11, 47, 25, 61, 19, 55)(7, 43, 12, 48, 26, 62, 20, 56)(13, 49, 27, 63, 18, 54, 30, 66)(14, 50, 28, 64, 35, 71, 34, 70)(16, 52, 29, 65, 21, 57, 31, 67)(22, 58, 32, 68, 36, 72, 33, 69)(73, 109, 75, 111, 85, 121, 96, 132, 107, 143, 104, 140, 84, 120, 101, 137, 91, 127, 77, 113, 87, 123, 102, 138, 82, 118, 100, 136, 94, 130, 79, 115, 88, 124, 97, 133, 80, 116, 95, 131, 90, 126, 76, 112, 86, 122, 105, 141, 92, 128, 103, 139, 83, 119, 74, 110, 81, 117, 99, 135, 89, 125, 106, 142, 108, 144, 98, 134, 93, 129, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 90)(7, 73)(8, 96)(9, 100)(10, 98)(11, 102)(12, 74)(13, 105)(14, 101)(15, 106)(16, 75)(17, 79)(18, 104)(19, 99)(20, 77)(21, 95)(22, 78)(23, 107)(24, 92)(25, 85)(26, 80)(27, 94)(28, 93)(29, 81)(30, 108)(31, 87)(32, 83)(33, 91)(34, 88)(35, 103)(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, 18, 6, 18, 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.620
Graph:: bipartite
	v = 10 e = 72 f = 16
	degree seq :: [ 8^9, 72 ]

E24.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 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 * Y3^2 * Y1, Y2 * Y1 * Y3^2, Y3 * Y2 * Y3 * Y1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^9, Y2^3 * Y3^-1 * Y2 * Y1 * Y2^4 * Y3^-1, Y3^-12 * Y2^3 ]
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, 15, 51)(12, 48, 16, 52)(13, 49, 17, 53)(14, 50, 18, 54)(19, 55, 23, 59)(20, 56, 24, 60)(21, 57, 25, 61)(22, 58, 26, 62)(27, 63, 31, 67)(28, 64, 32, 68)(29, 65, 33, 69)(30, 66, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 83, 119, 91, 127, 99, 135, 102, 138, 94, 130, 86, 122, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 106, 142, 98, 134, 90, 126, 81, 117)(76, 112, 82, 118, 88, 124, 96, 132, 104, 140, 108, 144, 101, 137, 93, 129, 85, 121)(78, 114, 84, 120, 92, 128, 100, 136, 107, 143, 105, 141, 97, 133, 89, 125, 80, 116)
	L = (1, 76)(2, 80)(3, 82)(4, 81)(5, 85)(6, 73)(7, 78)(8, 77)(9, 89)(10, 74)(11, 88)(12, 75)(13, 90)(14, 93)(15, 84)(16, 79)(17, 86)(18, 97)(19, 96)(20, 83)(21, 98)(22, 101)(23, 92)(24, 87)(25, 94)(26, 105)(27, 104)(28, 91)(29, 106)(30, 108)(31, 100)(32, 95)(33, 102)(34, 107)(35, 99)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 72, 24, 72 ), ( 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.630
Graph:: simple bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y2, Y1 * Y3 * Y1 * Y3^-1, Y2^-1 * Y3^4, Y2 * Y1 * Y3 * Y2 * Y3 * Y2^2, Y3 * Y2 * Y3 * Y1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 19, 55)(12, 48, 20, 56)(13, 49, 21, 57)(14, 50, 22, 58)(15, 51, 23, 59)(16, 52, 24, 60)(17, 53, 25, 61)(18, 54, 26, 62)(27, 63, 34, 70)(28, 64, 33, 69)(29, 65, 35, 71)(30, 66, 32, 68)(31, 67, 36, 72)(73, 109, 75, 111, 83, 119, 99, 135, 98, 134, 94, 130, 104, 140, 88, 124, 77, 113)(74, 110, 79, 115, 91, 127, 106, 142, 90, 126, 86, 122, 102, 138, 96, 132, 81, 117)(76, 112, 84, 120, 100, 136, 97, 133, 82, 118, 93, 129, 107, 143, 103, 139, 87, 123)(78, 114, 85, 121, 101, 137, 108, 144, 95, 131, 80, 116, 92, 128, 105, 141, 89, 125)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 92)(8, 94)(9, 95)(10, 74)(11, 100)(12, 102)(13, 75)(14, 85)(15, 90)(16, 103)(17, 77)(18, 78)(19, 105)(20, 104)(21, 79)(22, 93)(23, 98)(24, 108)(25, 81)(26, 82)(27, 97)(28, 96)(29, 83)(30, 101)(31, 106)(32, 107)(33, 88)(34, 89)(35, 91)(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) :: { ( 24, 72, 24, 72 ), ( 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.631
Graph:: simple bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (R * Y2)^2, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y2^-1, Y3), Y3^-1 * Y2 * Y3^-2 * Y2, Y1 * Y3^-1 * Y2^2 * Y1, Y1 * Y2^-1 * Y1 * Y2^-3 * Y1, Y1^-1 * Y3^8, Y1^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 36, 72, 30, 66, 34, 70, 17, 53, 5, 41)(3, 39, 9, 45, 19, 55, 26, 62, 22, 58, 28, 64, 35, 71, 32, 68, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 21, 57, 27, 63, 31, 67, 13, 49, 18, 54)(6, 42, 11, 47, 24, 60, 29, 65, 33, 69, 14, 50, 25, 61, 16, 52, 20, 56)(73, 109, 75, 111, 85, 121, 101, 137, 95, 131, 98, 134, 82, 118, 97, 133, 106, 142, 107, 143, 93, 129, 78, 114)(74, 110, 81, 117, 90, 126, 105, 141, 108, 144, 94, 130, 79, 115, 88, 124, 89, 125, 104, 140, 99, 135, 83, 119)(76, 112, 86, 122, 102, 138, 100, 136, 84, 120, 92, 128, 77, 113, 87, 123, 103, 139, 96, 132, 80, 116, 91, 127)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 97)(10, 77)(11, 98)(12, 74)(13, 102)(14, 104)(15, 105)(16, 75)(17, 85)(18, 106)(19, 88)(20, 81)(21, 80)(22, 78)(23, 84)(24, 94)(25, 87)(26, 92)(27, 95)(28, 83)(29, 100)(30, 99)(31, 108)(32, 101)(33, 107)(34, 103)(35, 96)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E24.628
Graph:: bipartite
	v = 7 e = 72 f = 19
	degree seq :: [ 18^4, 24^3 ]

E24.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (Y1^-1, Y2), (Y3^-1, Y2^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, Y3^-1 * Y1^2 * Y2^-2, Y1 * Y3^-1 * Y2^3 * Y3^-1 * Y2, Y1^2 * Y2 * Y1 * Y2^3, 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 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 30, 66, 34, 70, 31, 67, 17, 53, 5, 41)(3, 39, 9, 45, 24, 60, 36, 72, 33, 69, 19, 55, 28, 64, 22, 58, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 13, 49, 25, 61, 35, 71, 21, 57, 18, 54)(6, 42, 11, 47, 14, 50, 26, 62, 16, 52, 27, 63, 29, 65, 32, 68, 20, 56)(73, 109, 75, 111, 85, 121, 101, 137, 103, 139, 100, 136, 82, 118, 98, 134, 95, 131, 108, 144, 93, 129, 78, 114)(74, 110, 81, 117, 97, 133, 104, 140, 89, 125, 94, 130, 79, 115, 88, 124, 102, 138, 105, 141, 90, 126, 83, 119)(76, 112, 86, 122, 80, 116, 96, 132, 107, 143, 92, 128, 77, 113, 87, 123, 84, 120, 99, 135, 106, 142, 91, 127)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 98)(10, 77)(11, 100)(12, 74)(13, 80)(14, 94)(15, 83)(16, 75)(17, 93)(18, 103)(19, 104)(20, 105)(21, 106)(22, 78)(23, 84)(24, 88)(25, 95)(26, 87)(27, 81)(28, 92)(29, 96)(30, 85)(31, 107)(32, 108)(33, 101)(34, 97)(35, 102)(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, 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 E24.629
Graph:: bipartite
	v = 7 e = 72 f = 19
	degree seq :: [ 18^4, 24^3 ]

E24.628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-2 * Y3, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^9 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 8, 44, 12, 48, 16, 52, 20, 56, 24, 60, 28, 64, 32, 68, 35, 71, 34, 70, 27, 63, 26, 62, 19, 55, 18, 54, 11, 47, 10, 46, 3, 39, 7, 43, 9, 45, 15, 51, 17, 53, 23, 59, 25, 61, 31, 67, 33, 69, 36, 72, 30, 66, 29, 65, 22, 58, 21, 57, 14, 50, 13, 49, 6, 42, 5, 41)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 81, 117)(77, 113, 82, 118)(78, 114, 83, 119)(80, 116, 87, 123)(84, 120, 89, 125)(85, 121, 90, 126)(86, 122, 91, 127)(88, 124, 95, 131)(92, 128, 97, 133)(93, 129, 98, 134)(94, 130, 99, 135)(96, 132, 103, 139)(100, 136, 105, 141)(101, 137, 106, 142)(102, 138, 107, 143)(104, 140, 108, 144)
	L = (1, 76)(2, 80)(3, 81)(4, 84)(5, 74)(6, 73)(7, 87)(8, 88)(9, 89)(10, 79)(11, 75)(12, 92)(13, 77)(14, 78)(15, 95)(16, 96)(17, 97)(18, 82)(19, 83)(20, 100)(21, 85)(22, 86)(23, 103)(24, 104)(25, 105)(26, 90)(27, 91)(28, 107)(29, 93)(30, 94)(31, 108)(32, 106)(33, 102)(34, 98)(35, 99)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 24, 18, 24 ), ( 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24 ) }
Outer automorphisms :: reflexible
Dual of E24.626
Graph:: bipartite
	v = 19 e = 72 f = 7
	degree seq :: [ 4^18, 72 ]

E24.629 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 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^-1 * Y2 * Y3, (R * Y3)^2, (Y1, Y3), (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y2 * Y1^3 * Y3 * Y1, Y3^-1 * Y2 * Y1^-4, Y3 * Y1 * Y3^4 * Y1, Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 13, 49, 24, 60, 30, 66, 33, 69, 18, 54, 26, 62, 27, 63, 36, 72, 32, 68, 15, 51, 4, 40, 9, 45, 21, 57, 12, 48, 3, 39, 8, 44, 20, 56, 17, 53, 6, 42, 10, 46, 22, 58, 35, 71, 29, 65, 31, 67, 14, 50, 25, 61, 34, 70, 28, 64, 11, 47, 23, 59, 16, 52, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 92, 128)(81, 117, 95, 131)(82, 118, 96, 132)(86, 122, 99, 135)(87, 123, 100, 136)(88, 124, 93, 129)(89, 125, 91, 127)(90, 126, 101, 137)(94, 130, 102, 138)(97, 133, 108, 144)(98, 134, 103, 139)(104, 140, 106, 142)(105, 141, 107, 143)
	L = (1, 76)(2, 81)(3, 83)(4, 86)(5, 87)(6, 73)(7, 93)(8, 95)(9, 97)(10, 74)(11, 99)(12, 100)(13, 75)(14, 102)(15, 103)(16, 104)(17, 77)(18, 78)(19, 84)(20, 88)(21, 106)(22, 79)(23, 108)(24, 80)(25, 105)(26, 82)(27, 94)(28, 98)(29, 85)(30, 92)(31, 96)(32, 101)(33, 89)(34, 90)(35, 91)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 24, 18, 24 ), ( 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24 ) }
Outer automorphisms :: reflexible
Dual of E24.627
Graph:: bipartite
	v = 19 e = 72 f = 7
	degree seq :: [ 4^18, 72 ]

E24.630 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-3, Y2^-1 * Y3^2 * Y2^-1, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^-2 * Y3 * Y2 * Y1^-3, Y3 * Y1^-3 * Y2^-1 * Y1^-3, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y1^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 31, 67, 25, 61, 16, 52, 24, 60, 36, 72, 30, 66, 18, 54, 5, 41)(3, 39, 9, 45, 20, 56, 32, 68, 29, 65, 17, 53, 4, 40, 10, 46, 21, 57, 33, 69, 28, 64, 15, 51)(6, 42, 11, 47, 22, 58, 34, 70, 27, 63, 14, 50, 7, 43, 12, 48, 23, 59, 35, 71, 26, 62, 13, 49)(73, 109, 75, 111, 85, 121, 77, 113, 87, 123, 98, 134, 90, 126, 100, 136, 107, 143, 102, 138, 105, 141, 95, 131, 108, 144, 93, 129, 84, 120, 96, 132, 82, 118, 79, 115, 88, 124, 76, 112, 86, 122, 97, 133, 89, 125, 99, 135, 103, 139, 101, 137, 106, 142, 91, 127, 104, 140, 94, 130, 80, 116, 92, 128, 83, 119, 74, 110, 81, 117, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 89)(6, 88)(7, 73)(8, 93)(9, 79)(10, 78)(11, 96)(12, 74)(13, 97)(14, 77)(15, 99)(16, 75)(17, 98)(18, 101)(19, 105)(20, 84)(21, 83)(22, 108)(23, 80)(24, 81)(25, 87)(26, 103)(27, 90)(28, 106)(29, 107)(30, 104)(31, 100)(32, 95)(33, 94)(34, 102)(35, 91)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.624
Graph:: bipartite
	v = 4 e = 72 f = 22
	degree seq :: [ 24^3, 72 ]

E24.631 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2 * Y3^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^2 * Y1^-1, (Y3, Y2^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-3, (Y1^-1 * Y3^-1)^9, (Y3^-1 * Y1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 31, 67, 26, 62, 14, 50, 24, 60, 36, 72, 28, 64, 16, 52, 5, 41)(3, 39, 9, 45, 20, 56, 32, 68, 27, 63, 15, 51, 4, 40, 10, 46, 21, 57, 33, 69, 25, 61, 13, 49)(6, 42, 11, 47, 22, 58, 34, 70, 30, 66, 18, 54, 7, 43, 12, 48, 23, 59, 35, 71, 29, 65, 17, 53)(73, 109, 75, 111, 84, 120, 96, 132, 82, 118, 94, 130, 80, 116, 92, 128, 107, 143, 100, 136, 105, 141, 102, 138, 103, 139, 99, 135, 89, 125, 77, 113, 85, 121, 79, 115, 86, 122, 76, 112, 83, 119, 74, 110, 81, 117, 95, 131, 108, 144, 93, 129, 106, 142, 91, 127, 104, 140, 101, 137, 88, 124, 97, 133, 90, 126, 98, 134, 87, 123, 78, 114)
	L = (1, 76)(2, 82)(3, 83)(4, 84)(5, 87)(6, 86)(7, 73)(8, 93)(9, 94)(10, 95)(11, 96)(12, 74)(13, 78)(14, 75)(15, 79)(16, 99)(17, 98)(18, 77)(19, 105)(20, 106)(21, 107)(22, 108)(23, 80)(24, 81)(25, 89)(26, 85)(27, 90)(28, 104)(29, 103)(30, 88)(31, 97)(32, 102)(33, 101)(34, 100)(35, 91)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.625
Graph:: bipartite
	v = 4 e = 72 f = 22
	degree seq :: [ 24^3, 72 ]

E24.632 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^6 * Y1, (Y3^-1 * Y2)^9 ]
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, 28, 64)(24, 60, 29, 65)(25, 61, 30, 66)(26, 62, 31, 67)(27, 63, 32, 68)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 83, 119, 95, 131, 94, 130, 81, 117, 74, 110, 79, 115, 89, 125, 100, 136, 88, 124, 77, 113)(76, 112, 84, 120, 96, 132, 105, 141, 104, 140, 93, 129, 80, 116, 90, 126, 101, 137, 108, 144, 99, 135, 87, 123)(78, 114, 85, 121, 97, 133, 106, 142, 103, 139, 92, 128, 82, 118, 91, 127, 102, 138, 107, 143, 98, 134, 86, 122)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 90)(8, 92)(9, 93)(10, 74)(11, 96)(12, 78)(13, 75)(14, 77)(15, 98)(16, 99)(17, 101)(18, 82)(19, 79)(20, 81)(21, 103)(22, 104)(23, 105)(24, 85)(25, 83)(26, 88)(27, 107)(28, 108)(29, 91)(30, 89)(31, 94)(32, 106)(33, 97)(34, 95)(35, 100)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.635
Graph:: bipartite
	v = 21 e = 72 f = 5
	degree seq :: [ 4^18, 24^3 ]

E24.633 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 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^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3^-3, Y1 * Y2^-6, (Y1 * Y2^-1 * Y3^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 19, 55)(12, 48, 20, 56)(13, 49, 14, 50)(15, 51, 18, 54)(16, 52, 21, 57)(17, 53, 22, 58)(23, 59, 28, 64)(24, 60, 31, 67)(25, 61, 26, 62)(27, 63, 30, 66)(29, 65, 32, 68)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 83, 119, 95, 131, 93, 129, 81, 117, 74, 110, 79, 115, 91, 127, 100, 136, 88, 124, 77, 113)(76, 112, 84, 120, 96, 132, 105, 141, 102, 138, 90, 126, 80, 116, 92, 128, 103, 139, 108, 144, 99, 135, 87, 123)(78, 114, 85, 121, 97, 133, 106, 142, 104, 140, 94, 130, 82, 118, 86, 122, 98, 134, 107, 143, 101, 137, 89, 125)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 92)(8, 85)(9, 90)(10, 74)(11, 96)(12, 98)(13, 75)(14, 79)(15, 82)(16, 99)(17, 77)(18, 78)(19, 103)(20, 97)(21, 102)(22, 81)(23, 105)(24, 107)(25, 83)(26, 91)(27, 94)(28, 108)(29, 88)(30, 89)(31, 106)(32, 93)(33, 101)(34, 95)(35, 100)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.634
Graph:: bipartite
	v = 21 e = 72 f = 5
	degree seq :: [ 4^18, 24^3 ]

E24.634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 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, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y1 * Y3^2 * Y1^3 * Y3^2, Y1^-2 * Y3^2 * Y1^-5, (Y1^-2 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 27, 63, 31, 67, 24, 60, 15, 51, 5, 41)(3, 39, 9, 45, 20, 56, 28, 64, 35, 71, 33, 69, 26, 62, 17, 53, 13, 49)(4, 40, 10, 46, 7, 43, 12, 48, 21, 57, 29, 65, 32, 68, 23, 59, 16, 52)(6, 42, 11, 47, 14, 50, 22, 58, 30, 66, 36, 72, 34, 70, 25, 61, 18, 54)(73, 109, 75, 111, 79, 115, 86, 122, 80, 116, 92, 128, 93, 129, 102, 138, 99, 135, 107, 143, 104, 140, 106, 142, 96, 132, 98, 134, 88, 124, 90, 126, 77, 113, 85, 121, 82, 118, 83, 119, 74, 110, 81, 117, 84, 120, 94, 130, 91, 127, 100, 136, 101, 137, 108, 144, 103, 139, 105, 141, 95, 131, 97, 133, 87, 123, 89, 125, 76, 112, 78, 114)
	L = (1, 76)(2, 82)(3, 78)(4, 87)(5, 88)(6, 89)(7, 73)(8, 79)(9, 83)(10, 77)(11, 85)(12, 74)(13, 90)(14, 75)(15, 95)(16, 96)(17, 97)(18, 98)(19, 84)(20, 86)(21, 80)(22, 81)(23, 103)(24, 104)(25, 105)(26, 106)(27, 93)(28, 94)(29, 91)(30, 92)(31, 101)(32, 99)(33, 108)(34, 107)(35, 102)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 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 E24.633
Graph:: bipartite
	v = 5 e = 72 f = 21
	degree seq :: [ 18^4, 72 ]

E24.635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 12, 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^-1), Y3^2 * Y1^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), (Y3, Y2), (R * Y2)^2, Y2^4 * Y1, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2 * Y3 * Y1^-2 * Y2, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, Y2^2 * Y1^-1 * Y2^2 * Y3^-2, Y1 * Y3^-8, (Y2^-2 * Y3^-1)^3, Y1^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 36, 72, 32, 68, 33, 69, 17, 53, 5, 41)(3, 39, 9, 45, 24, 60, 35, 71, 19, 55, 29, 65, 22, 58, 31, 67, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 26, 62, 13, 49, 21, 57, 30, 66, 18, 54)(6, 42, 11, 47, 25, 61, 14, 50, 27, 63, 16, 52, 28, 64, 34, 70, 20, 56)(73, 109, 75, 111, 85, 121, 92, 128, 77, 113, 87, 123, 98, 134, 106, 142, 89, 125, 103, 139, 84, 120, 100, 136, 105, 141, 94, 130, 79, 115, 88, 124, 104, 140, 101, 137, 82, 118, 99, 135, 108, 144, 91, 127, 76, 112, 86, 122, 95, 131, 107, 143, 90, 126, 97, 133, 80, 116, 96, 132, 102, 138, 83, 119, 74, 110, 81, 117, 93, 129, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 99)(10, 77)(11, 101)(12, 74)(13, 95)(14, 103)(15, 97)(16, 75)(17, 102)(18, 105)(19, 106)(20, 107)(21, 108)(22, 78)(23, 84)(24, 88)(25, 94)(26, 80)(27, 87)(28, 81)(29, 92)(30, 104)(31, 83)(32, 85)(33, 93)(34, 96)(35, 100)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 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 E24.632
Graph:: bipartite
	v = 5 e = 72 f = 21
	degree seq :: [ 18^4, 72 ]

E24.636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2^12, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 6, 42, 9, 45)(5, 41, 7, 43, 10, 46)(8, 44, 12, 48, 15, 51)(11, 47, 13, 49, 16, 52)(14, 50, 18, 54, 21, 57)(17, 53, 19, 55, 22, 58)(20, 56, 24, 60, 27, 63)(23, 59, 25, 61, 28, 64)(26, 62, 30, 66, 33, 69)(29, 65, 31, 67, 34, 70)(32, 68, 36, 72, 35, 71)(73, 109, 75, 111, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115, 74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118, 76, 112, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 107, 143, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 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 selfdual
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 6^12, 72 ]

E24.637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^12 * Y1, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 6, 42, 9, 45)(5, 41, 7, 43, 10, 46)(8, 44, 12, 48, 15, 51)(11, 47, 13, 49, 16, 52)(14, 50, 18, 54, 21, 57)(17, 53, 19, 55, 22, 58)(20, 56, 24, 60, 27, 63)(23, 59, 25, 61, 28, 64)(26, 62, 30, 66, 33, 69)(29, 65, 31, 67, 34, 70)(32, 68, 35, 71, 36, 72)(73, 109, 75, 111, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118, 76, 112, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 108, 144, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115, 74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 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 selfdual
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 6^12, 72 ]

E24.638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^12 * Y1^-1, (Y3 * Y2^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40)(3, 39, 6, 42, 9, 45)(5, 41, 7, 43, 10, 46)(8, 44, 12, 48, 15, 51)(11, 47, 13, 49, 16, 52)(14, 50, 18, 54, 21, 57)(17, 53, 19, 55, 22, 58)(20, 56, 24, 60, 27, 63)(23, 59, 25, 61, 28, 64)(26, 62, 30, 66, 33, 69)(29, 65, 31, 67, 34, 70)(32, 68, 36, 72, 35, 71)(73, 109, 75, 111, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115, 74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118, 76, 112, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 107, 143, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)
	L = (1, 74)(2, 76)(3, 78)(4, 73)(5, 79)(6, 81)(7, 82)(8, 84)(9, 75)(10, 77)(11, 85)(12, 87)(13, 88)(14, 90)(15, 80)(16, 83)(17, 91)(18, 93)(19, 94)(20, 96)(21, 86)(22, 89)(23, 97)(24, 99)(25, 100)(26, 102)(27, 92)(28, 95)(29, 103)(30, 105)(31, 106)(32, 108)(33, 98)(34, 101)(35, 104)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.639
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 6^12, 72 ]

E24.639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 * Y1^-1, Y1^3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^5 * Y1^-1 * Y3^-1 * Y2^-5 * Y1^-1, Y2^6 * Y3 * Y2^6, (Y3 * Y2^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40)(3, 39, 6, 42, 9, 45)(5, 41, 7, 43, 10, 46)(8, 44, 12, 48, 15, 51)(11, 47, 13, 49, 16, 52)(14, 50, 18, 54, 21, 57)(17, 53, 19, 55, 22, 58)(20, 56, 24, 60, 27, 63)(23, 59, 25, 61, 28, 64)(26, 62, 30, 66, 33, 69)(29, 65, 31, 67, 34, 70)(32, 68, 35, 71, 36, 72)(73, 109, 75, 111, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118, 76, 112, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 108, 144, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115, 74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)
	L = (1, 74)(2, 76)(3, 78)(4, 73)(5, 79)(6, 81)(7, 82)(8, 84)(9, 75)(10, 77)(11, 85)(12, 87)(13, 88)(14, 90)(15, 80)(16, 83)(17, 91)(18, 93)(19, 94)(20, 96)(21, 86)(22, 89)(23, 97)(24, 99)(25, 100)(26, 102)(27, 92)(28, 95)(29, 103)(30, 105)(31, 106)(32, 107)(33, 98)(34, 101)(35, 108)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 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 E24.638
Graph:: bipartite
	v = 13 e = 72 f = 13
	degree seq :: [ 6^12, 72 ]

E24.640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 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 * Y1, (Y3, Y2^-1), (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3^-5, Y3^3 * Y2 * Y1 * Y3^3 * Y2, (Y2^-1 * Y3)^36 ]
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, 81, 117, 74, 110, 79, 115, 77, 113)(76, 112, 83, 119, 92, 128, 80, 116, 89, 125, 86, 122)(78, 114, 84, 120, 93, 129, 82, 118, 90, 126, 87, 123)(85, 121, 95, 131, 104, 140, 91, 127, 101, 137, 98, 134)(88, 124, 96, 132, 105, 141, 94, 130, 102, 138, 99, 135)(97, 133, 107, 143, 106, 142, 103, 139, 108, 144, 100, 136)
	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, 107)(24, 84)(25, 96)(26, 100)(27, 87)(28, 88)(29, 108)(30, 90)(31, 102)(32, 106)(33, 93)(34, 94)(35, 105)(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) :: { ( 72^4 ), ( 72^12 ) }
Outer automorphisms :: reflexible
Dual of E24.645
Graph:: bipartite
	v = 24 e = 72 f = 2
	degree seq :: [ 4^18, 12^6 ]

E24.641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y1 * Y2^-6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 20, 56, 14, 50, 13, 49)(6, 42, 10, 46, 15, 51, 21, 57, 18, 54, 16, 52)(11, 47, 19, 55, 24, 60, 32, 68, 26, 62, 25, 61)(17, 53, 22, 58, 27, 63, 33, 69, 30, 66, 28, 64)(23, 59, 31, 67, 34, 70, 36, 72, 35, 71, 29, 65)(73, 109, 75, 111, 83, 119, 95, 131, 94, 130, 82, 118, 74, 110, 80, 116, 91, 127, 103, 139, 99, 135, 87, 123, 76, 112, 84, 120, 96, 132, 106, 142, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 108, 144, 102, 138, 90, 126, 79, 115, 86, 122, 98, 134, 107, 143, 100, 136, 88, 124, 77, 113, 85, 121, 97, 133, 101, 137, 89, 125, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 74)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 86)(13, 80)(14, 75)(15, 90)(16, 82)(17, 99)(18, 78)(19, 104)(20, 85)(21, 88)(22, 105)(23, 106)(24, 98)(25, 91)(26, 83)(27, 102)(28, 94)(29, 103)(30, 89)(31, 108)(32, 97)(33, 100)(34, 107)(35, 95)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.643
Graph:: bipartite
	v = 7 e = 72 f = 19
	degree seq :: [ 12^6, 72 ]

E24.642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1 * Y1^-1)^2, Y2^-6 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 20, 56, 14, 50, 13, 49)(6, 42, 10, 46, 15, 51, 21, 57, 18, 54, 16, 52)(11, 47, 19, 55, 24, 60, 31, 67, 26, 62, 25, 61)(17, 53, 22, 58, 27, 63, 32, 68, 30, 66, 28, 64)(23, 59, 29, 65, 33, 69, 36, 72, 35, 71, 34, 70)(73, 109, 75, 111, 83, 119, 95, 131, 100, 136, 88, 124, 77, 113, 85, 121, 97, 133, 106, 142, 102, 138, 90, 126, 79, 115, 86, 122, 98, 134, 107, 143, 104, 140, 93, 129, 81, 117, 92, 128, 103, 139, 108, 144, 99, 135, 87, 123, 76, 112, 84, 120, 96, 132, 105, 141, 94, 130, 82, 118, 74, 110, 80, 116, 91, 127, 101, 137, 89, 125, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 74)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 86)(13, 80)(14, 75)(15, 90)(16, 82)(17, 99)(18, 78)(19, 103)(20, 85)(21, 88)(22, 104)(23, 105)(24, 98)(25, 91)(26, 83)(27, 102)(28, 94)(29, 108)(30, 89)(31, 97)(32, 100)(33, 107)(34, 101)(35, 95)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.644
Graph:: bipartite
	v = 7 e = 72 f = 19
	degree seq :: [ 12^6, 72 ]

E24.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 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, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y3, (Y3^-1, Y1), Y3^6, Y1^-3 * Y2 * Y3^-1 * Y1^-3, Y1^2 * Y3^-1 * Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 29, 65, 25, 61, 13, 49, 22, 58, 34, 70, 36, 72, 26, 62, 14, 50, 4, 40, 9, 45, 19, 55, 31, 67, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 30, 66, 28, 64, 16, 52, 6, 42, 10, 46, 20, 56, 32, 68, 35, 71, 23, 59, 11, 47, 21, 57, 33, 69, 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, 102, 138)(91, 127, 105, 141)(92, 128, 106, 142)(98, 134, 107, 143)(99, 135, 103, 139)(100, 136, 101, 137)(104, 140, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 78)(5, 86)(6, 73)(7, 91)(8, 93)(9, 82)(10, 74)(11, 85)(12, 95)(13, 75)(14, 88)(15, 98)(16, 77)(17, 103)(18, 105)(19, 92)(20, 79)(21, 94)(22, 80)(23, 97)(24, 107)(25, 84)(26, 100)(27, 108)(28, 87)(29, 96)(30, 99)(31, 104)(32, 89)(33, 106)(34, 90)(35, 101)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 72, 12, 72 ), ( 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.641
Graph:: bipartite
	v = 19 e = 72 f = 7
	degree seq :: [ 4^18, 72 ]

E24.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 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, Y3 * Y2 * Y3^-1 * Y2, (Y3, Y1), Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y2 * Y3 * Y1^-4, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-2 * Y3^-1 * Y2 * Y1^2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 29, 65, 23, 59, 11, 47, 21, 57, 33, 69, 36, 72, 28, 64, 16, 52, 6, 42, 10, 46, 20, 56, 32, 68, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 30, 66, 26, 62, 14, 50, 4, 40, 9, 45, 19, 55, 31, 67, 35, 71, 25, 61, 13, 49, 22, 58, 34, 70, 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, 102, 138)(91, 127, 105, 141)(92, 128, 106, 142)(98, 134, 101, 137)(99, 135, 104, 140)(100, 136, 107, 143)(103, 139, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 78)(5, 86)(6, 73)(7, 91)(8, 93)(9, 82)(10, 74)(11, 85)(12, 95)(13, 75)(14, 88)(15, 98)(16, 77)(17, 103)(18, 105)(19, 92)(20, 79)(21, 94)(22, 80)(23, 97)(24, 101)(25, 84)(26, 100)(27, 102)(28, 87)(29, 107)(30, 108)(31, 104)(32, 89)(33, 106)(34, 90)(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) :: { ( 12, 72, 12, 72 ), ( 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.642
Graph:: bipartite
	v = 19 e = 72 f = 7
	degree seq :: [ 4^18, 72 ]

E24.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), (Y2 * Y3^-1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^3, Y1 * Y2^3 * Y1^2, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y1^-4, Y1^-1 * Y3^-7 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 17, 53, 4, 40, 10, 46, 25, 61, 22, 58, 32, 68, 13, 49, 28, 64, 19, 55, 6, 42, 11, 47, 26, 62, 35, 71, 34, 70, 16, 52, 30, 66, 36, 72, 33, 69, 15, 51, 3, 39, 9, 45, 24, 60, 21, 57, 31, 67, 14, 50, 29, 65, 20, 56, 7, 43, 12, 48, 27, 63, 18, 54, 5, 41)(73, 109, 75, 111, 85, 121, 99, 135, 108, 144, 97, 133, 92, 128, 106, 142, 89, 125, 103, 139, 83, 119, 74, 110, 81, 117, 100, 136, 90, 126, 105, 141, 94, 130, 79, 115, 88, 124, 76, 112, 86, 122, 98, 134, 80, 116, 96, 132, 91, 127, 77, 113, 87, 123, 104, 140, 84, 120, 102, 138, 82, 118, 101, 137, 107, 143, 95, 131, 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, 98)(14, 99)(15, 103)(16, 75)(17, 104)(18, 95)(19, 106)(20, 77)(21, 79)(22, 78)(23, 94)(24, 92)(25, 91)(26, 108)(27, 80)(28, 107)(29, 90)(30, 81)(31, 84)(32, 83)(33, 93)(34, 87)(35, 105)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E24.640
Graph:: bipartite
	v = 2 e = 72 f = 24
	degree seq :: [ 72^2 ]

E24.646 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y1^3, Y1 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^2, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3^-3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 12, 51, 22, 61, 20, 59, 34, 73, 37, 76, 39, 78, 32, 71, 17, 56, 25, 64, 15, 54, 5, 44)(2, 41, 6, 45, 18, 57, 10, 49, 26, 65, 38, 77, 29, 68, 31, 70, 36, 75, 23, 62, 13, 52, 21, 60, 7, 46)(3, 42, 8, 47, 24, 63, 16, 55, 14, 53, 30, 69, 33, 72, 35, 74, 28, 67, 11, 50, 19, 58, 27, 66, 9, 48)(79, 80, 81)(82, 88, 89)(83, 91, 92)(84, 94, 95)(85, 97, 98)(86, 100, 101)(87, 103, 104)(90, 107, 108)(93, 109, 106)(96, 111, 112)(99, 113, 110)(102, 115, 116)(105, 117, 114)(118, 120, 119)(121, 128, 127)(122, 131, 130)(123, 134, 133)(124, 137, 136)(125, 140, 139)(126, 143, 142)(129, 147, 146)(132, 145, 148)(135, 151, 150)(138, 149, 152)(141, 155, 154)(144, 153, 156)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.668
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.647 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y3 * Y1 * Y3, Y1 * Y3 * Y1 * Y2^-1, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y1^-1 * Y3, Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 16, 55, 8, 47, 20, 59, 39, 78, 34, 73, 30, 69, 33, 72, 12, 51, 22, 61, 25, 64, 7, 46)(2, 41, 9, 48, 27, 66, 14, 53, 6, 45, 21, 60, 37, 76, 18, 57, 35, 74, 26, 65, 23, 62, 31, 70, 11, 50)(3, 42, 10, 49, 28, 67, 32, 71, 24, 63, 38, 77, 17, 56, 29, 68, 36, 75, 15, 54, 5, 44, 19, 58, 13, 52)(79, 80, 83)(81, 90, 87)(82, 92, 95)(84, 93, 100)(85, 101, 88)(86, 104, 97)(89, 107, 98)(91, 112, 99)(94, 115, 106)(96, 116, 103)(102, 111, 109)(105, 110, 117)(108, 113, 114)(118, 120, 123)(119, 125, 127)(121, 132, 135)(122, 131, 137)(124, 141, 126)(128, 147, 136)(129, 149, 138)(130, 152, 139)(133, 155, 140)(134, 154, 156)(142, 153, 148)(143, 151, 145)(144, 150, 146)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.669
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.648 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, Y2^3, Y1^-1 * Y3 * Y1^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^3 * Y1, (Y3^-1 * Y1^-1)^3, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y2^-1)^3, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 16, 55, 21, 60, 12, 51, 33, 72, 28, 67, 34, 73, 38, 77, 19, 58, 8, 47, 25, 64, 7, 46)(2, 41, 9, 48, 29, 68, 14, 53, 26, 65, 35, 74, 24, 63, 39, 78, 22, 61, 6, 45, 17, 56, 31, 70, 11, 50)(3, 42, 13, 52, 20, 59, 5, 44, 18, 57, 37, 76, 27, 66, 23, 62, 36, 75, 15, 54, 32, 71, 30, 69, 10, 49)(79, 80, 83)(81, 90, 89)(82, 92, 88)(84, 96, 99)(85, 95, 101)(86, 104, 98)(87, 105, 97)(91, 112, 100)(93, 111, 107)(94, 102, 114)(103, 117, 108)(106, 113, 115)(109, 110, 116)(118, 120, 123)(119, 125, 127)(121, 132, 128)(122, 134, 136)(124, 135, 141)(126, 145, 137)(129, 149, 139)(130, 152, 138)(131, 142, 153)(133, 154, 146)(140, 156, 155)(143, 151, 147)(144, 148, 150)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.664
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.649 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2 * Y1 * Y3^-1, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 15, 54, 32, 71, 19, 58, 27, 66, 39, 78, 38, 77, 26, 65, 8, 47, 24, 63, 23, 62, 7, 46)(2, 41, 9, 48, 16, 55, 12, 51, 29, 68, 37, 76, 36, 75, 33, 72, 31, 70, 17, 56, 21, 60, 20, 59, 6, 45)(3, 42, 11, 50, 30, 69, 10, 49, 5, 44, 18, 57, 28, 67, 25, 64, 22, 61, 14, 53, 35, 74, 34, 73, 13, 52)(79, 80, 83)(81, 82, 90)(84, 89, 97)(85, 99, 100)(86, 87, 103)(88, 102, 107)(91, 101, 111)(92, 93, 114)(94, 113, 105)(95, 96, 110)(98, 112, 104)(106, 117, 115)(108, 116, 109)(118, 120, 123)(119, 125, 127)(121, 131, 133)(122, 134, 124)(126, 144, 145)(128, 148, 149)(129, 141, 130)(132, 135, 154)(136, 152, 137)(138, 143, 142)(139, 153, 140)(146, 156, 147)(150, 155, 151)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.661
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.650 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y2^-1 * Y3 * Y1, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2 * Y3^-2, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y3^2, Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y1 * Y3^-2 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^13 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 18, 57, 39, 78, 37, 76, 12, 51, 8, 47, 27, 66, 23, 62, 35, 74, 36, 75, 33, 72, 7, 46)(2, 41, 9, 48, 14, 53, 16, 55, 38, 77, 32, 71, 21, 60, 28, 67, 6, 45, 26, 65, 29, 68, 20, 59, 11, 50)(3, 42, 13, 52, 10, 49, 19, 58, 30, 69, 25, 64, 24, 63, 5, 44, 22, 61, 17, 56, 34, 73, 31, 70, 15, 54)(79, 80, 83)(81, 90, 92)(82, 94, 97)(84, 103, 105)(85, 107, 109)(86, 110, 95)(87, 112, 113)(88, 111, 106)(89, 108, 115)(91, 101, 98)(93, 96, 99)(100, 117, 104)(102, 114, 116)(118, 120, 123)(119, 125, 127)(121, 134, 137)(122, 138, 140)(124, 147, 149)(126, 135, 142)(128, 153, 132)(129, 141, 146)(130, 155, 156)(131, 150, 139)(133, 144, 148)(136, 143, 152)(145, 154, 151)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.663
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.651 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 15, 54, 26, 65, 8, 47, 24, 63, 38, 77, 39, 78, 29, 68, 20, 59, 34, 73, 23, 62, 7, 46)(2, 41, 6, 45, 19, 58, 14, 53, 17, 56, 33, 72, 32, 71, 35, 74, 36, 75, 28, 67, 12, 51, 22, 61, 10, 49)(3, 42, 11, 50, 31, 70, 37, 76, 21, 60, 16, 55, 25, 64, 30, 69, 18, 57, 5, 44, 9, 48, 27, 66, 13, 52)(79, 80, 83)(81, 85, 90)(82, 92, 94)(84, 91, 98)(86, 88, 103)(87, 104, 106)(89, 93, 110)(95, 96, 112)(97, 109, 102)(99, 101, 113)(100, 115, 107)(105, 116, 111)(108, 117, 114)(118, 120, 123)(119, 125, 126)(121, 122, 134)(124, 138, 139)(127, 146, 147)(128, 129, 143)(130, 150, 151)(131, 141, 142)(132, 133, 152)(135, 153, 140)(136, 137, 154)(144, 145, 156)(148, 149, 155)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.662
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.652 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1 * Y2 * Y3^-1, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^3 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 15, 54, 11, 50, 27, 66, 29, 68, 32, 71, 38, 77, 39, 78, 26, 65, 17, 56, 23, 62, 7, 46)(2, 41, 8, 47, 25, 64, 14, 53, 35, 74, 33, 72, 31, 70, 22, 61, 34, 73, 13, 52, 6, 45, 20, 59, 10, 49)(3, 42, 12, 51, 24, 63, 19, 58, 21, 60, 36, 75, 30, 69, 37, 76, 16, 55, 9, 48, 28, 67, 18, 57, 5, 44)(79, 80, 83)(81, 89, 91)(82, 92, 94)(84, 97, 85)(86, 102, 104)(87, 105, 88)(90, 110, 111)(93, 109, 99)(95, 113, 96)(98, 108, 117)(100, 115, 101)(103, 114, 107)(106, 116, 112)(118, 120, 123)(119, 121, 126)(122, 125, 134)(124, 138, 139)(127, 146, 147)(128, 129, 148)(130, 144, 145)(131, 132, 153)(133, 152, 140)(135, 150, 155)(136, 137, 143)(141, 142, 149)(151, 156, 154)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.660
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.653 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y3^-2, Y1 * Y2^-1 * Y3^2 * Y2^-1, Y1 * Y3^2 * Y2 * Y3, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3, Y1 * Y3^-1 * Y2 * Y3^2, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^3, (Y3 * Y1^-1)^3, Y3^13 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 18, 57, 34, 73, 37, 76, 23, 62, 27, 66, 8, 47, 12, 51, 35, 74, 39, 78, 33, 72, 7, 46)(2, 41, 9, 48, 32, 71, 16, 55, 28, 67, 6, 45, 26, 65, 21, 60, 20, 59, 38, 77, 29, 68, 14, 53, 11, 50)(3, 42, 13, 52, 19, 58, 36, 75, 30, 69, 24, 63, 5, 44, 22, 61, 25, 64, 17, 56, 31, 70, 10, 49, 15, 54)(79, 80, 83)(81, 90, 92)(82, 94, 97)(84, 103, 105)(85, 107, 109)(86, 98, 108)(87, 95, 113)(88, 96, 104)(89, 114, 115)(91, 111, 99)(93, 101, 110)(100, 112, 116)(102, 117, 106)(118, 120, 123)(119, 125, 127)(121, 134, 137)(122, 138, 140)(124, 147, 149)(126, 151, 130)(128, 150, 142)(129, 139, 133)(131, 135, 141)(132, 155, 156)(136, 146, 144)(143, 152, 153)(145, 154, 148)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.666
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.654 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-2 * Y2 * Y1, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3 * Y1, (Y2 * Y1^-1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1, Y3^9 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * 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 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 12, 51, 34, 73, 28, 67, 8, 47, 27, 66, 31, 70, 23, 62, 30, 69, 37, 76, 20, 59, 7, 46)(2, 41, 9, 48, 26, 65, 16, 55, 35, 74, 19, 58, 14, 53, 36, 75, 25, 64, 39, 78, 24, 63, 6, 45, 11, 50)(3, 42, 13, 52, 22, 61, 33, 72, 18, 57, 32, 71, 10, 49, 21, 60, 5, 44, 17, 56, 38, 77, 29, 68, 15, 54)(79, 80, 83)(81, 90, 92)(82, 94, 96)(84, 100, 101)(85, 102, 93)(86, 104, 91)(87, 107, 108)(88, 109, 103)(89, 110, 106)(95, 112, 117)(97, 116, 105)(98, 114, 111)(99, 115, 113)(118, 120, 123)(119, 125, 127)(121, 134, 126)(122, 136, 137)(124, 135, 142)(128, 147, 150)(129, 149, 152)(130, 153, 151)(131, 148, 146)(132, 143, 154)(133, 144, 139)(138, 156, 140)(141, 145, 155)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.665
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.655 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, Y1^3, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y1, Y1^-1 * Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2, Y3 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-37 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 8, 47, 30, 69, 36, 75, 37, 76, 12, 51, 21, 60, 34, 73, 32, 71, 39, 78, 25, 64, 7, 46)(2, 41, 9, 48, 20, 59, 16, 55, 29, 68, 14, 53, 26, 65, 6, 45, 24, 63, 38, 77, 19, 58, 35, 74, 11, 50)(3, 42, 13, 52, 28, 67, 31, 70, 27, 66, 10, 49, 23, 62, 18, 57, 33, 72, 17, 56, 22, 61, 5, 44, 15, 54)(79, 80, 83)(81, 90, 92)(82, 94, 96)(84, 101, 103)(85, 97, 106)(86, 104, 109)(87, 91, 110)(88, 112, 113)(89, 111, 114)(93, 108, 116)(95, 99, 102)(98, 105, 115)(100, 117, 107)(118, 120, 123)(119, 125, 127)(121, 134, 136)(122, 137, 138)(124, 144, 146)(126, 142, 150)(128, 129, 145)(130, 133, 147)(131, 151, 135)(132, 152, 156)(139, 143, 153)(140, 155, 154)(141, 149, 148)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.667
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.656 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3^2 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-5 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 18, 57, 36, 75, 30, 69, 24, 63, 32, 71, 28, 67, 8, 47, 27, 66, 35, 74, 12, 51, 7, 46)(2, 41, 9, 48, 6, 45, 16, 55, 38, 77, 19, 58, 37, 76, 14, 53, 20, 59, 34, 73, 25, 64, 26, 65, 11, 50)(3, 42, 13, 52, 33, 72, 39, 78, 22, 61, 5, 44, 21, 60, 10, 49, 29, 68, 17, 56, 31, 70, 23, 62, 15, 54)(79, 80, 83)(81, 90, 92)(82, 94, 91)(84, 101, 102)(85, 103, 95)(86, 104, 93)(87, 107, 105)(88, 110, 97)(89, 111, 108)(96, 115, 109)(98, 117, 106)(99, 114, 112)(100, 113, 116)(118, 120, 123)(119, 125, 127)(121, 134, 136)(122, 137, 135)(124, 139, 128)(126, 147, 148)(129, 146, 151)(130, 143, 153)(131, 149, 150)(132, 154, 152)(133, 144, 156)(138, 155, 141)(140, 142, 145)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.658
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.657 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 13, 13})
Quotient :: edge^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, Y1^-1 * Y3^-2 * Y2^-1, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1, Y3^-2 * Y1 * Y3^-1 * Y2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y2^-1 * Y3^-1 * Y2 * Y3^9 ]
Map:: non-degenerate
	R = (1, 40, 4, 43, 18, 57, 39, 78, 36, 75, 35, 74, 23, 62, 12, 51, 37, 76, 34, 73, 31, 70, 8, 47, 7, 46)(2, 41, 9, 48, 33, 72, 16, 55, 38, 77, 26, 65, 6, 45, 25, 64, 14, 53, 20, 59, 27, 66, 21, 60, 11, 50)(3, 42, 13, 52, 5, 44, 22, 61, 28, 67, 32, 71, 29, 68, 24, 63, 10, 49, 17, 56, 30, 69, 19, 58, 15, 54)(79, 80, 83)(81, 90, 92)(82, 94, 97)(84, 102, 96)(85, 105, 107)(86, 103, 108)(87, 110, 112)(88, 113, 111)(89, 93, 114)(91, 109, 116)(95, 115, 99)(98, 100, 117)(101, 104, 106)(118, 120, 123)(119, 125, 127)(121, 134, 137)(122, 138, 140)(124, 145, 133)(126, 129, 136)(128, 135, 149)(130, 150, 156)(131, 152, 146)(132, 144, 148)(139, 142, 151)(141, 155, 154)(143, 153, 147)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.659
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.658 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y1^3, Y1 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^2, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3^-3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 12, 51, 90, 129, 22, 61, 100, 139, 20, 59, 98, 137, 34, 73, 112, 151, 37, 76, 115, 154, 39, 78, 117, 156, 32, 71, 110, 149, 17, 56, 95, 134, 25, 64, 103, 142, 15, 54, 93, 132, 5, 44, 83, 122)(2, 41, 80, 119, 6, 45, 84, 123, 18, 57, 96, 135, 10, 49, 88, 127, 26, 65, 104, 143, 38, 77, 116, 155, 29, 68, 107, 146, 31, 70, 109, 148, 36, 75, 114, 153, 23, 62, 101, 140, 13, 52, 91, 130, 21, 60, 99, 138, 7, 46, 85, 124)(3, 42, 81, 120, 8, 47, 86, 125, 24, 63, 102, 141, 16, 55, 94, 133, 14, 53, 92, 131, 30, 69, 108, 147, 33, 72, 111, 150, 35, 74, 113, 152, 28, 67, 106, 145, 11, 50, 89, 128, 19, 58, 97, 136, 27, 66, 105, 144, 9, 48, 87, 126)
	L = (1, 41)(2, 42)(3, 40)(4, 49)(5, 52)(6, 55)(7, 58)(8, 61)(9, 64)(10, 50)(11, 43)(12, 68)(13, 53)(14, 44)(15, 70)(16, 56)(17, 45)(18, 72)(19, 59)(20, 46)(21, 74)(22, 62)(23, 47)(24, 76)(25, 65)(26, 48)(27, 78)(28, 54)(29, 69)(30, 51)(31, 67)(32, 60)(33, 73)(34, 57)(35, 71)(36, 66)(37, 77)(38, 63)(39, 75)(79, 120)(80, 118)(81, 119)(82, 128)(83, 131)(84, 134)(85, 137)(86, 140)(87, 143)(88, 121)(89, 127)(90, 147)(91, 122)(92, 130)(93, 145)(94, 123)(95, 133)(96, 151)(97, 124)(98, 136)(99, 149)(100, 125)(101, 139)(102, 155)(103, 126)(104, 142)(105, 153)(106, 148)(107, 129)(108, 146)(109, 132)(110, 152)(111, 135)(112, 150)(113, 138)(114, 156)(115, 141)(116, 154)(117, 144)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.656
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.659 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y3 * Y1 * Y3, Y1 * Y3 * Y1 * Y2^-1, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y1^-1 * Y3, Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 16, 55, 94, 133, 8, 47, 86, 125, 20, 59, 98, 137, 39, 78, 117, 156, 34, 73, 112, 151, 30, 69, 108, 147, 33, 72, 111, 150, 12, 51, 90, 129, 22, 61, 100, 139, 25, 64, 103, 142, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 27, 66, 105, 144, 14, 53, 92, 131, 6, 45, 84, 123, 21, 60, 99, 138, 37, 76, 115, 154, 18, 57, 96, 135, 35, 74, 113, 152, 26, 65, 104, 143, 23, 62, 101, 140, 31, 70, 109, 148, 11, 50, 89, 128)(3, 42, 81, 120, 10, 49, 88, 127, 28, 67, 106, 145, 32, 71, 110, 149, 24, 63, 102, 141, 38, 77, 116, 155, 17, 56, 95, 134, 29, 68, 107, 146, 36, 75, 114, 153, 15, 54, 93, 132, 5, 44, 83, 122, 19, 58, 97, 136, 13, 52, 91, 130)
	L = (1, 41)(2, 44)(3, 51)(4, 53)(5, 40)(6, 54)(7, 62)(8, 65)(9, 42)(10, 46)(11, 68)(12, 48)(13, 73)(14, 56)(15, 61)(16, 76)(17, 43)(18, 77)(19, 47)(20, 50)(21, 52)(22, 45)(23, 49)(24, 72)(25, 57)(26, 58)(27, 71)(28, 55)(29, 59)(30, 74)(31, 63)(32, 78)(33, 70)(34, 60)(35, 75)(36, 69)(37, 67)(38, 64)(39, 66)(79, 120)(80, 125)(81, 123)(82, 132)(83, 131)(84, 118)(85, 141)(86, 127)(87, 124)(88, 119)(89, 147)(90, 149)(91, 152)(92, 137)(93, 135)(94, 155)(95, 154)(96, 121)(97, 128)(98, 122)(99, 129)(100, 130)(101, 133)(102, 126)(103, 153)(104, 151)(105, 150)(106, 143)(107, 144)(108, 136)(109, 142)(110, 138)(111, 146)(112, 145)(113, 139)(114, 148)(115, 156)(116, 140)(117, 134)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.657
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.660 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, Y2^3, Y1^-1 * Y3 * Y1^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^3 * Y1, (Y3^-1 * Y1^-1)^3, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y2^-1)^3, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 16, 55, 94, 133, 21, 60, 99, 138, 12, 51, 90, 129, 33, 72, 111, 150, 28, 67, 106, 145, 34, 73, 112, 151, 38, 77, 116, 155, 19, 58, 97, 136, 8, 47, 86, 125, 25, 64, 103, 142, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 29, 68, 107, 146, 14, 53, 92, 131, 26, 65, 104, 143, 35, 74, 113, 152, 24, 63, 102, 141, 39, 78, 117, 156, 22, 61, 100, 139, 6, 45, 84, 123, 17, 56, 95, 134, 31, 70, 109, 148, 11, 50, 89, 128)(3, 42, 81, 120, 13, 52, 91, 130, 20, 59, 98, 137, 5, 44, 83, 122, 18, 57, 96, 135, 37, 76, 115, 154, 27, 66, 105, 144, 23, 62, 101, 140, 36, 75, 114, 153, 15, 54, 93, 132, 32, 71, 110, 149, 30, 69, 108, 147, 10, 49, 88, 127)
	L = (1, 41)(2, 44)(3, 51)(4, 53)(5, 40)(6, 57)(7, 56)(8, 65)(9, 66)(10, 43)(11, 42)(12, 50)(13, 73)(14, 49)(15, 72)(16, 63)(17, 62)(18, 60)(19, 48)(20, 47)(21, 45)(22, 52)(23, 46)(24, 75)(25, 78)(26, 59)(27, 58)(28, 74)(29, 54)(30, 64)(31, 71)(32, 77)(33, 68)(34, 61)(35, 76)(36, 55)(37, 67)(38, 70)(39, 69)(79, 120)(80, 125)(81, 123)(82, 132)(83, 134)(84, 118)(85, 135)(86, 127)(87, 145)(88, 119)(89, 121)(90, 149)(91, 152)(92, 142)(93, 128)(94, 154)(95, 136)(96, 141)(97, 122)(98, 126)(99, 130)(100, 129)(101, 156)(102, 124)(103, 153)(104, 151)(105, 148)(106, 137)(107, 133)(108, 143)(109, 150)(110, 139)(111, 144)(112, 147)(113, 138)(114, 131)(115, 146)(116, 140)(117, 155)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.652
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.661 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2 * Y1 * Y3^-1, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 15, 54, 93, 132, 32, 71, 110, 149, 19, 58, 97, 136, 27, 66, 105, 144, 39, 78, 117, 156, 38, 77, 116, 155, 26, 65, 104, 143, 8, 47, 86, 125, 24, 63, 102, 141, 23, 62, 101, 140, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 16, 55, 94, 133, 12, 51, 90, 129, 29, 68, 107, 146, 37, 76, 115, 154, 36, 75, 114, 153, 33, 72, 111, 150, 31, 70, 109, 148, 17, 56, 95, 134, 21, 60, 99, 138, 20, 59, 98, 137, 6, 45, 84, 123)(3, 42, 81, 120, 11, 50, 89, 128, 30, 69, 108, 147, 10, 49, 88, 127, 5, 44, 83, 122, 18, 57, 96, 135, 28, 67, 106, 145, 25, 64, 103, 142, 22, 61, 100, 139, 14, 53, 92, 131, 35, 74, 113, 152, 34, 73, 112, 151, 13, 52, 91, 130)
	L = (1, 41)(2, 44)(3, 43)(4, 51)(5, 40)(6, 50)(7, 60)(8, 48)(9, 64)(10, 63)(11, 58)(12, 42)(13, 62)(14, 54)(15, 75)(16, 74)(17, 57)(18, 71)(19, 45)(20, 73)(21, 61)(22, 46)(23, 72)(24, 68)(25, 47)(26, 59)(27, 55)(28, 78)(29, 49)(30, 77)(31, 69)(32, 56)(33, 52)(34, 65)(35, 66)(36, 53)(37, 67)(38, 70)(39, 76)(79, 120)(80, 125)(81, 123)(82, 131)(83, 134)(84, 118)(85, 122)(86, 127)(87, 144)(88, 119)(89, 148)(90, 141)(91, 129)(92, 133)(93, 135)(94, 121)(95, 124)(96, 154)(97, 152)(98, 136)(99, 143)(100, 153)(101, 139)(102, 130)(103, 138)(104, 142)(105, 145)(106, 126)(107, 156)(108, 146)(109, 149)(110, 128)(111, 155)(112, 150)(113, 137)(114, 140)(115, 132)(116, 151)(117, 147)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.649
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.662 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y2^-1 * Y3 * Y1, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2 * Y3^-2, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y3^2, Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y1 * Y3^-2 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^13 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 18, 57, 96, 135, 39, 78, 117, 156, 37, 76, 115, 154, 12, 51, 90, 129, 8, 47, 86, 125, 27, 66, 105, 144, 23, 62, 101, 140, 35, 74, 113, 152, 36, 75, 114, 153, 33, 72, 111, 150, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 14, 53, 92, 131, 16, 55, 94, 133, 38, 77, 116, 155, 32, 71, 110, 149, 21, 60, 99, 138, 28, 67, 106, 145, 6, 45, 84, 123, 26, 65, 104, 143, 29, 68, 107, 146, 20, 59, 98, 137, 11, 50, 89, 128)(3, 42, 81, 120, 13, 52, 91, 130, 10, 49, 88, 127, 19, 58, 97, 136, 30, 69, 108, 147, 25, 64, 103, 142, 24, 63, 102, 141, 5, 44, 83, 122, 22, 61, 100, 139, 17, 56, 95, 134, 34, 73, 112, 151, 31, 70, 109, 148, 15, 54, 93, 132)
	L = (1, 41)(2, 44)(3, 51)(4, 55)(5, 40)(6, 64)(7, 68)(8, 71)(9, 73)(10, 72)(11, 69)(12, 53)(13, 62)(14, 42)(15, 57)(16, 58)(17, 47)(18, 60)(19, 43)(20, 52)(21, 54)(22, 78)(23, 59)(24, 75)(25, 66)(26, 61)(27, 45)(28, 49)(29, 70)(30, 76)(31, 46)(32, 56)(33, 67)(34, 74)(35, 48)(36, 77)(37, 50)(38, 63)(39, 65)(79, 120)(80, 125)(81, 123)(82, 134)(83, 138)(84, 118)(85, 147)(86, 127)(87, 135)(88, 119)(89, 153)(90, 141)(91, 155)(92, 150)(93, 128)(94, 144)(95, 137)(96, 142)(97, 143)(98, 121)(99, 140)(100, 131)(101, 122)(102, 146)(103, 126)(104, 152)(105, 148)(106, 154)(107, 129)(108, 149)(109, 133)(110, 124)(111, 139)(112, 145)(113, 136)(114, 132)(115, 151)(116, 156)(117, 130)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.651
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.663 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 15, 54, 93, 132, 26, 65, 104, 143, 8, 47, 86, 125, 24, 63, 102, 141, 38, 77, 116, 155, 39, 78, 117, 156, 29, 68, 107, 146, 20, 59, 98, 137, 34, 73, 112, 151, 23, 62, 101, 140, 7, 46, 85, 124)(2, 41, 80, 119, 6, 45, 84, 123, 19, 58, 97, 136, 14, 53, 92, 131, 17, 56, 95, 134, 33, 72, 111, 150, 32, 71, 110, 149, 35, 74, 113, 152, 36, 75, 114, 153, 28, 67, 106, 145, 12, 51, 90, 129, 22, 61, 100, 139, 10, 49, 88, 127)(3, 42, 81, 120, 11, 50, 89, 128, 31, 70, 109, 148, 37, 76, 115, 154, 21, 60, 99, 138, 16, 55, 94, 133, 25, 64, 103, 142, 30, 69, 108, 147, 18, 57, 96, 135, 5, 44, 83, 122, 9, 48, 87, 126, 27, 66, 105, 144, 13, 52, 91, 130)
	L = (1, 41)(2, 44)(3, 46)(4, 53)(5, 40)(6, 52)(7, 51)(8, 49)(9, 65)(10, 64)(11, 54)(12, 42)(13, 59)(14, 55)(15, 71)(16, 43)(17, 57)(18, 73)(19, 70)(20, 45)(21, 62)(22, 76)(23, 74)(24, 58)(25, 47)(26, 67)(27, 77)(28, 48)(29, 61)(30, 78)(31, 63)(32, 50)(33, 66)(34, 56)(35, 60)(36, 69)(37, 68)(38, 72)(39, 75)(79, 120)(80, 125)(81, 123)(82, 122)(83, 134)(84, 118)(85, 138)(86, 126)(87, 119)(88, 146)(89, 129)(90, 143)(91, 150)(92, 141)(93, 133)(94, 152)(95, 121)(96, 153)(97, 137)(98, 154)(99, 139)(100, 124)(101, 135)(102, 142)(103, 131)(104, 128)(105, 145)(106, 156)(107, 147)(108, 127)(109, 149)(110, 155)(111, 151)(112, 130)(113, 132)(114, 140)(115, 136)(116, 148)(117, 144)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.650
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.664 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1 * Y2 * Y3^-1, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^3 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 15, 54, 93, 132, 11, 50, 89, 128, 27, 66, 105, 144, 29, 68, 107, 146, 32, 71, 110, 149, 38, 77, 116, 155, 39, 78, 117, 156, 26, 65, 104, 143, 17, 56, 95, 134, 23, 62, 101, 140, 7, 46, 85, 124)(2, 41, 80, 119, 8, 47, 86, 125, 25, 64, 103, 142, 14, 53, 92, 131, 35, 74, 113, 152, 33, 72, 111, 150, 31, 70, 109, 148, 22, 61, 100, 139, 34, 73, 112, 151, 13, 52, 91, 130, 6, 45, 84, 123, 20, 59, 98, 137, 10, 49, 88, 127)(3, 42, 81, 120, 12, 51, 90, 129, 24, 63, 102, 141, 19, 58, 97, 136, 21, 60, 99, 138, 36, 75, 114, 153, 30, 69, 108, 147, 37, 76, 115, 154, 16, 55, 94, 133, 9, 48, 87, 126, 28, 67, 106, 145, 18, 57, 96, 135, 5, 44, 83, 122)
	L = (1, 41)(2, 44)(3, 50)(4, 53)(5, 40)(6, 58)(7, 45)(8, 63)(9, 66)(10, 48)(11, 52)(12, 71)(13, 42)(14, 55)(15, 70)(16, 43)(17, 74)(18, 56)(19, 46)(20, 69)(21, 54)(22, 76)(23, 61)(24, 65)(25, 75)(26, 47)(27, 49)(28, 77)(29, 64)(30, 78)(31, 60)(32, 72)(33, 51)(34, 67)(35, 57)(36, 68)(37, 62)(38, 73)(39, 59)(79, 120)(80, 121)(81, 123)(82, 126)(83, 125)(84, 118)(85, 138)(86, 134)(87, 119)(88, 146)(89, 129)(90, 148)(91, 144)(92, 132)(93, 153)(94, 152)(95, 122)(96, 150)(97, 137)(98, 143)(99, 139)(100, 124)(101, 133)(102, 142)(103, 149)(104, 136)(105, 145)(106, 130)(107, 147)(108, 127)(109, 128)(110, 141)(111, 155)(112, 156)(113, 140)(114, 131)(115, 151)(116, 135)(117, 154)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.648
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.665 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y3^-2, Y1 * Y2^-1 * Y3^2 * Y2^-1, Y1 * Y3^2 * Y2 * Y3, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3, Y1 * Y3^-1 * Y2 * Y3^2, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^3, (Y3 * Y1^-1)^3, Y3^13 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 18, 57, 96, 135, 34, 73, 112, 151, 37, 76, 115, 154, 23, 62, 101, 140, 27, 66, 105, 144, 8, 47, 86, 125, 12, 51, 90, 129, 35, 74, 113, 152, 39, 78, 117, 156, 33, 72, 111, 150, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 32, 71, 110, 149, 16, 55, 94, 133, 28, 67, 106, 145, 6, 45, 84, 123, 26, 65, 104, 143, 21, 60, 99, 138, 20, 59, 98, 137, 38, 77, 116, 155, 29, 68, 107, 146, 14, 53, 92, 131, 11, 50, 89, 128)(3, 42, 81, 120, 13, 52, 91, 130, 19, 58, 97, 136, 36, 75, 114, 153, 30, 69, 108, 147, 24, 63, 102, 141, 5, 44, 83, 122, 22, 61, 100, 139, 25, 64, 103, 142, 17, 56, 95, 134, 31, 70, 109, 148, 10, 49, 88, 127, 15, 54, 93, 132)
	L = (1, 41)(2, 44)(3, 51)(4, 55)(5, 40)(6, 64)(7, 68)(8, 59)(9, 56)(10, 57)(11, 75)(12, 53)(13, 72)(14, 42)(15, 62)(16, 58)(17, 74)(18, 65)(19, 43)(20, 69)(21, 52)(22, 73)(23, 71)(24, 78)(25, 66)(26, 49)(27, 45)(28, 63)(29, 70)(30, 47)(31, 46)(32, 54)(33, 60)(34, 77)(35, 48)(36, 76)(37, 50)(38, 61)(39, 67)(79, 120)(80, 125)(81, 123)(82, 134)(83, 138)(84, 118)(85, 147)(86, 127)(87, 151)(88, 119)(89, 150)(90, 139)(91, 126)(92, 135)(93, 155)(94, 129)(95, 137)(96, 141)(97, 146)(98, 121)(99, 140)(100, 133)(101, 122)(102, 131)(103, 128)(104, 152)(105, 136)(106, 154)(107, 144)(108, 149)(109, 145)(110, 124)(111, 142)(112, 130)(113, 153)(114, 143)(115, 148)(116, 156)(117, 132)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.654
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.666 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-2 * Y2 * Y1, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3 * Y1, (Y2 * Y1^-1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1, Y3^9 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * 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 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 12, 51, 90, 129, 34, 73, 112, 151, 28, 67, 106, 145, 8, 47, 86, 125, 27, 66, 105, 144, 31, 70, 109, 148, 23, 62, 101, 140, 30, 69, 108, 147, 37, 76, 115, 154, 20, 59, 98, 137, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 26, 65, 104, 143, 16, 55, 94, 133, 35, 74, 113, 152, 19, 58, 97, 136, 14, 53, 92, 131, 36, 75, 114, 153, 25, 64, 103, 142, 39, 78, 117, 156, 24, 63, 102, 141, 6, 45, 84, 123, 11, 50, 89, 128)(3, 42, 81, 120, 13, 52, 91, 130, 22, 61, 100, 139, 33, 72, 111, 150, 18, 57, 96, 135, 32, 71, 110, 149, 10, 49, 88, 127, 21, 60, 99, 138, 5, 44, 83, 122, 17, 56, 95, 134, 38, 77, 116, 155, 29, 68, 107, 146, 15, 54, 93, 132)
	L = (1, 41)(2, 44)(3, 51)(4, 55)(5, 40)(6, 61)(7, 63)(8, 65)(9, 68)(10, 70)(11, 71)(12, 53)(13, 47)(14, 42)(15, 46)(16, 57)(17, 73)(18, 43)(19, 77)(20, 75)(21, 76)(22, 62)(23, 45)(24, 54)(25, 49)(26, 52)(27, 58)(28, 50)(29, 69)(30, 48)(31, 64)(32, 67)(33, 59)(34, 78)(35, 60)(36, 72)(37, 74)(38, 66)(39, 56)(79, 120)(80, 125)(81, 123)(82, 134)(83, 136)(84, 118)(85, 135)(86, 127)(87, 121)(88, 119)(89, 147)(90, 149)(91, 153)(92, 148)(93, 143)(94, 144)(95, 126)(96, 142)(97, 137)(98, 122)(99, 156)(100, 133)(101, 138)(102, 145)(103, 124)(104, 154)(105, 139)(106, 155)(107, 131)(108, 150)(109, 146)(110, 152)(111, 128)(112, 130)(113, 129)(114, 151)(115, 132)(116, 141)(117, 140)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.653
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.667 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, Y1^3, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y1, Y1^-1 * Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2, Y3 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-37 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 8, 47, 86, 125, 30, 69, 108, 147, 36, 75, 114, 153, 37, 76, 115, 154, 12, 51, 90, 129, 21, 60, 99, 138, 34, 73, 112, 151, 32, 71, 110, 149, 39, 78, 117, 156, 25, 64, 103, 142, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 20, 59, 98, 137, 16, 55, 94, 133, 29, 68, 107, 146, 14, 53, 92, 131, 26, 65, 104, 143, 6, 45, 84, 123, 24, 63, 102, 141, 38, 77, 116, 155, 19, 58, 97, 136, 35, 74, 113, 152, 11, 50, 89, 128)(3, 42, 81, 120, 13, 52, 91, 130, 28, 67, 106, 145, 31, 70, 109, 148, 27, 66, 105, 144, 10, 49, 88, 127, 23, 62, 101, 140, 18, 57, 96, 135, 33, 72, 111, 150, 17, 56, 95, 134, 22, 61, 100, 139, 5, 44, 83, 122, 15, 54, 93, 132)
	L = (1, 41)(2, 44)(3, 51)(4, 55)(5, 40)(6, 62)(7, 58)(8, 65)(9, 52)(10, 73)(11, 72)(12, 53)(13, 71)(14, 42)(15, 69)(16, 57)(17, 60)(18, 43)(19, 67)(20, 66)(21, 63)(22, 78)(23, 64)(24, 56)(25, 45)(26, 70)(27, 76)(28, 46)(29, 61)(30, 77)(31, 47)(32, 48)(33, 75)(34, 74)(35, 49)(36, 50)(37, 59)(38, 54)(39, 68)(79, 120)(80, 125)(81, 123)(82, 134)(83, 137)(84, 118)(85, 144)(86, 127)(87, 142)(88, 119)(89, 129)(90, 145)(91, 133)(92, 151)(93, 152)(94, 147)(95, 136)(96, 131)(97, 121)(98, 138)(99, 122)(100, 143)(101, 155)(102, 149)(103, 150)(104, 153)(105, 146)(106, 128)(107, 124)(108, 130)(109, 141)(110, 148)(111, 126)(112, 135)(113, 156)(114, 139)(115, 140)(116, 154)(117, 132)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.655
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.668 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3^2 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-5 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 18, 57, 96, 135, 36, 75, 114, 153, 30, 69, 108, 147, 24, 63, 102, 141, 32, 71, 110, 149, 28, 67, 106, 145, 8, 47, 86, 125, 27, 66, 105, 144, 35, 74, 113, 152, 12, 51, 90, 129, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 6, 45, 84, 123, 16, 55, 94, 133, 38, 77, 116, 155, 19, 58, 97, 136, 37, 76, 115, 154, 14, 53, 92, 131, 20, 59, 98, 137, 34, 73, 112, 151, 25, 64, 103, 142, 26, 65, 104, 143, 11, 50, 89, 128)(3, 42, 81, 120, 13, 52, 91, 130, 33, 72, 111, 150, 39, 78, 117, 156, 22, 61, 100, 139, 5, 44, 83, 122, 21, 60, 99, 138, 10, 49, 88, 127, 29, 68, 107, 146, 17, 56, 95, 134, 31, 70, 109, 148, 23, 62, 101, 140, 15, 54, 93, 132)
	L = (1, 41)(2, 44)(3, 51)(4, 55)(5, 40)(6, 62)(7, 64)(8, 65)(9, 68)(10, 71)(11, 72)(12, 53)(13, 43)(14, 42)(15, 47)(16, 52)(17, 46)(18, 76)(19, 49)(20, 78)(21, 75)(22, 74)(23, 63)(24, 45)(25, 56)(26, 54)(27, 48)(28, 59)(29, 66)(30, 50)(31, 57)(32, 58)(33, 69)(34, 60)(35, 77)(36, 73)(37, 70)(38, 61)(39, 67)(79, 120)(80, 125)(81, 123)(82, 134)(83, 137)(84, 118)(85, 139)(86, 127)(87, 147)(88, 119)(89, 124)(90, 146)(91, 143)(92, 149)(93, 154)(94, 144)(95, 136)(96, 122)(97, 121)(98, 135)(99, 155)(100, 128)(101, 142)(102, 138)(103, 145)(104, 153)(105, 156)(106, 140)(107, 151)(108, 148)(109, 126)(110, 150)(111, 131)(112, 129)(113, 132)(114, 130)(115, 152)(116, 141)(117, 133)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.646
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.669 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 13, 13})
Quotient :: loop^2
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, Y1^-1 * Y3^-2 * Y2^-1, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1, Y3^-2 * Y1 * Y3^-1 * Y2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y2^-1 * Y3^-1 * Y2 * Y3^9 ]
Map:: non-degenerate
	R = (1, 40, 79, 118, 4, 43, 82, 121, 18, 57, 96, 135, 39, 78, 117, 156, 36, 75, 114, 153, 35, 74, 113, 152, 23, 62, 101, 140, 12, 51, 90, 129, 37, 76, 115, 154, 34, 73, 112, 151, 31, 70, 109, 148, 8, 47, 86, 125, 7, 46, 85, 124)(2, 41, 80, 119, 9, 48, 87, 126, 33, 72, 111, 150, 16, 55, 94, 133, 38, 77, 116, 155, 26, 65, 104, 143, 6, 45, 84, 123, 25, 64, 103, 142, 14, 53, 92, 131, 20, 59, 98, 137, 27, 66, 105, 144, 21, 60, 99, 138, 11, 50, 89, 128)(3, 42, 81, 120, 13, 52, 91, 130, 5, 44, 83, 122, 22, 61, 100, 139, 28, 67, 106, 145, 32, 71, 110, 149, 29, 68, 107, 146, 24, 63, 102, 141, 10, 49, 88, 127, 17, 56, 95, 134, 30, 69, 108, 147, 19, 58, 97, 136, 15, 54, 93, 132)
	L = (1, 41)(2, 44)(3, 51)(4, 55)(5, 40)(6, 63)(7, 66)(8, 64)(9, 71)(10, 74)(11, 54)(12, 53)(13, 70)(14, 42)(15, 75)(16, 58)(17, 76)(18, 45)(19, 43)(20, 61)(21, 56)(22, 78)(23, 65)(24, 57)(25, 69)(26, 67)(27, 68)(28, 62)(29, 46)(30, 47)(31, 77)(32, 73)(33, 49)(34, 48)(35, 72)(36, 50)(37, 60)(38, 52)(39, 59)(79, 120)(80, 125)(81, 123)(82, 134)(83, 138)(84, 118)(85, 145)(86, 127)(87, 129)(88, 119)(89, 135)(90, 136)(91, 150)(92, 152)(93, 144)(94, 124)(95, 137)(96, 149)(97, 126)(98, 121)(99, 140)(100, 142)(101, 122)(102, 155)(103, 151)(104, 153)(105, 148)(106, 133)(107, 131)(108, 143)(109, 132)(110, 128)(111, 156)(112, 139)(113, 146)(114, 147)(115, 141)(116, 154)(117, 130)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.647
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 13, 13})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^13, (Y3 * Y2^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 4, 43)(3, 42, 6, 45, 9, 48)(5, 44, 7, 46, 10, 49)(8, 47, 12, 51, 15, 54)(11, 50, 13, 52, 16, 55)(14, 53, 18, 57, 21, 60)(17, 56, 19, 58, 22, 61)(20, 59, 24, 63, 27, 66)(23, 62, 25, 64, 28, 67)(26, 65, 30, 69, 33, 72)(29, 68, 31, 70, 34, 73)(32, 71, 36, 75, 38, 77)(35, 74, 37, 76, 39, 78)(79, 118, 81, 120, 86, 125, 92, 131, 98, 137, 104, 143, 110, 149, 113, 152, 107, 146, 101, 140, 95, 134, 89, 128, 83, 122)(80, 119, 84, 123, 90, 129, 96, 135, 102, 141, 108, 147, 114, 153, 115, 154, 109, 148, 103, 142, 97, 136, 91, 130, 85, 124)(82, 121, 87, 126, 93, 132, 99, 138, 105, 144, 111, 150, 116, 155, 117, 156, 112, 151, 106, 145, 100, 139, 94, 133, 88, 127)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 6, 26, 6, 26, 6, 26 ), ( 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26, 6, 26 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 78 f = 16
	degree seq :: [ 6^13, 26^3 ]

E24.671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 10})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^4, Y2^-1 * Y1^2 * Y2^-1, Y3^-2 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^2 * Y2^2, Y3^2 * Y1^-2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-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, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 6, 46, 9, 49)(4, 44, 15, 55, 7, 47, 16, 56)(10, 50, 19, 59, 12, 52, 20, 60)(13, 53, 21, 61, 14, 54, 22, 62)(17, 57, 25, 65, 18, 58, 26, 66)(23, 63, 31, 71, 24, 64, 32, 72)(27, 67, 35, 75, 28, 68, 36, 76)(29, 69, 37, 77, 30, 70, 38, 78)(33, 73, 39, 79, 34, 74, 40, 80)(81, 121, 83, 123, 88, 128, 86, 126)(82, 122, 89, 129, 85, 125, 91, 131)(84, 124, 94, 134, 87, 127, 93, 133)(90, 130, 98, 138, 92, 132, 97, 137)(95, 135, 101, 141, 96, 136, 102, 142)(99, 139, 105, 145, 100, 140, 106, 146)(103, 143, 110, 150, 104, 144, 109, 149)(107, 147, 114, 154, 108, 148, 113, 153)(111, 151, 117, 157, 112, 152, 118, 158)(115, 155, 119, 159, 116, 156, 120, 160)
	L = (1, 84)(2, 90)(3, 93)(4, 88)(5, 92)(6, 94)(7, 81)(8, 87)(9, 97)(10, 85)(11, 98)(12, 82)(13, 86)(14, 83)(15, 103)(16, 104)(17, 91)(18, 89)(19, 107)(20, 108)(21, 109)(22, 110)(23, 96)(24, 95)(25, 113)(26, 114)(27, 100)(28, 99)(29, 102)(30, 101)(31, 115)(32, 116)(33, 106)(34, 105)(35, 112)(36, 111)(37, 120)(38, 119)(39, 117)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.672
Graph:: bipartite
	v = 20 e = 80 f = 14
	degree seq :: [ 8^20 ]

E24.672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 10})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1, Y3^-2 * Y2^2, Y3^-2 * Y2^-2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y3^4, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, R * Y2 * R * Y2^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^2 * Y2^-1 * Y1^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 21, 61, 30, 70, 14, 54, 26, 66, 34, 74, 18, 58, 5, 45)(3, 43, 13, 53, 29, 69, 24, 64, 11, 51, 6, 46, 19, 59, 35, 75, 22, 62, 9, 49)(4, 44, 17, 57, 33, 73, 25, 65, 12, 52, 7, 47, 20, 60, 36, 76, 23, 63, 10, 50)(15, 55, 27, 67, 37, 77, 40, 80, 32, 72, 16, 56, 28, 68, 38, 78, 39, 79, 31, 71)(81, 121, 83, 123, 94, 134, 86, 126)(82, 122, 89, 129, 106, 146, 91, 131)(84, 124, 96, 136, 87, 127, 95, 135)(85, 125, 93, 133, 110, 150, 99, 139)(88, 128, 102, 142, 114, 154, 104, 144)(90, 130, 108, 148, 92, 132, 107, 147)(97, 137, 112, 152, 100, 140, 111, 151)(98, 138, 109, 149, 101, 141, 115, 155)(103, 143, 118, 158, 105, 145, 117, 157)(113, 153, 120, 160, 116, 156, 119, 159)
	L = (1, 84)(2, 90)(3, 95)(4, 94)(5, 97)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 111)(14, 87)(15, 86)(16, 83)(17, 110)(18, 113)(19, 112)(20, 85)(21, 116)(22, 117)(23, 114)(24, 118)(25, 88)(26, 92)(27, 91)(28, 89)(29, 119)(30, 100)(31, 99)(32, 93)(33, 101)(34, 105)(35, 120)(36, 98)(37, 104)(38, 102)(39, 115)(40, 109)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E24.671
Graph:: bipartite
	v = 14 e = 80 f = 20
	degree seq :: [ 8^10, 20^4 ]

E24.673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 10})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^4 * Y1, Y3^5, (Y2 * R * Y2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * 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, 17, 57)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(16, 56, 23, 63)(18, 58, 24, 64)(25, 65, 30, 70)(26, 66, 32, 72)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(31, 71, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 89, 129, 82, 122, 87, 127, 97, 137, 85, 125)(84, 124, 93, 133, 105, 145, 102, 142, 88, 128, 100, 140, 110, 150, 95, 135)(86, 126, 92, 132, 106, 146, 103, 143, 90, 130, 99, 139, 112, 152, 96, 136)(94, 134, 108, 148, 117, 157, 115, 155, 101, 141, 114, 154, 119, 159, 109, 149)(98, 138, 107, 147, 118, 158, 116, 156, 104, 144, 113, 153, 120, 160, 111, 151)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 98)(15, 85)(16, 111)(17, 110)(18, 86)(19, 113)(20, 87)(21, 104)(22, 89)(23, 116)(24, 90)(25, 117)(26, 91)(27, 108)(28, 93)(29, 95)(30, 119)(31, 109)(32, 97)(33, 114)(34, 100)(35, 102)(36, 115)(37, 118)(38, 106)(39, 120)(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) :: { ( 16, 20, 16, 20 ), ( 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.674
Graph:: bipartite
	v = 25 e = 80 f = 9
	degree seq :: [ 4^20, 16^5 ]

E24.674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 10})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y2^2 * Y3^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y2 * Y3 * Y2, Y2^-1 * Y1^-2 * Y3 * Y1^-2, Y1^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 16, 56, 30, 70, 20, 60, 5, 45)(3, 43, 11, 51, 24, 64, 17, 57, 4, 44, 12, 52, 25, 65, 15, 55)(6, 46, 9, 49, 26, 66, 19, 59, 7, 47, 10, 50, 27, 67, 18, 58)(13, 53, 31, 71, 37, 77, 34, 74, 14, 54, 32, 72, 38, 78, 33, 73)(21, 61, 28, 68, 39, 79, 36, 76, 22, 62, 29, 69, 40, 80, 35, 75)(81, 121, 83, 123, 93, 133, 102, 142, 87, 127, 96, 136, 84, 124, 94, 134, 101, 141, 86, 126)(82, 122, 89, 129, 108, 148, 112, 152, 92, 132, 110, 150, 90, 130, 109, 149, 111, 151, 91, 131)(85, 125, 98, 138, 115, 155, 114, 154, 97, 137, 103, 143, 99, 139, 116, 156, 113, 153, 95, 135)(88, 128, 104, 144, 117, 157, 120, 160, 107, 147, 100, 140, 105, 145, 118, 158, 119, 159, 106, 146)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 99)(6, 96)(7, 81)(8, 105)(9, 109)(10, 108)(11, 110)(12, 82)(13, 101)(14, 102)(15, 103)(16, 83)(17, 85)(18, 116)(19, 115)(20, 104)(21, 87)(22, 86)(23, 98)(24, 118)(25, 117)(26, 100)(27, 88)(28, 111)(29, 112)(30, 89)(31, 92)(32, 91)(33, 97)(34, 95)(35, 113)(36, 114)(37, 119)(38, 120)(39, 107)(40, 106)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 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 E24.673
Graph:: bipartite
	v = 9 e = 80 f = 25
	degree seq :: [ 16^5, 20^4 ]

E24.675 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 10})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^2 * Y2^-1 * Y1 * Y3, Y3 * Y2^-2 * Y1^2, Y1^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1 * Y1^-1 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^5 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 20, 60, 35, 75, 9, 49, 33, 73, 27, 67, 36, 76, 13, 53, 7, 47)(2, 42, 10, 50, 6, 46, 26, 66, 30, 70, 29, 69, 38, 78, 18, 58, 31, 71, 12, 52)(3, 43, 15, 55, 32, 72, 19, 59, 39, 79, 24, 64, 5, 45, 22, 62, 34, 74, 17, 57)(8, 48, 14, 54, 11, 51, 37, 77, 25, 65, 23, 63, 28, 68, 16, 56, 40, 80, 21, 61)(81, 82, 88, 95, 113, 109, 103, 85)(83, 93, 118, 91, 104, 115, 90, 96)(84, 98, 101, 119, 107, 86, 105, 97)(87, 106, 94, 114, 89, 111, 108, 99)(92, 117, 112, 100, 110, 120, 102, 116)(121, 123, 134, 138, 153, 144, 148, 126)(122, 129, 152, 136, 149, 127, 142, 131)(124, 139, 128, 150, 147, 154, 143, 132)(125, 141, 130, 156, 135, 145, 158, 140)(133, 159, 157, 146, 155, 137, 160, 151)
	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 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E24.678
Graph:: bipartite
	v = 14 e = 80 f = 20
	degree seq :: [ 8^10, 20^4 ]

E24.676 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 10})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1^4, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^4, Y1^-1 * Y2^-2 * Y1^-2 * Y2^-1, (Y3 * Y1^-1 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 13, 53)(5, 45, 15, 55)(6, 46, 16, 56)(7, 47, 18, 58)(8, 48, 27, 67)(10, 50, 14, 54)(11, 51, 32, 72)(12, 52, 22, 62)(17, 57, 20, 60)(19, 59, 35, 75)(21, 61, 36, 76)(23, 63, 37, 77)(24, 64, 28, 68)(25, 65, 33, 73)(26, 66, 30, 70)(29, 69, 34, 74)(31, 71, 38, 78)(39, 79, 40, 80)(81, 82, 87, 95, 84, 89, 98, 85)(83, 91, 109, 90, 93, 112, 114, 94)(86, 100, 118, 116, 96, 97, 111, 101)(88, 105, 102, 104, 107, 113, 92, 108)(99, 103, 119, 110, 115, 117, 120, 106)(121, 123, 132, 136, 124, 133, 142, 126)(122, 128, 146, 134, 129, 147, 150, 130)(125, 137, 154, 155, 135, 140, 149, 139)(127, 143, 141, 148, 138, 157, 156, 144)(131, 151, 160, 153, 152, 158, 159, 145)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40^4 ), ( 40^8 ) }
Outer automorphisms :: reflexible
Dual of E24.677
Graph:: bipartite
	v = 30 e = 80 f = 4
	degree seq :: [ 4^20, 8^10 ]

E24.677 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 10})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^2 * Y2^-1 * Y1 * Y3, Y3 * Y2^-2 * Y1^2, Y1^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1 * Y1^-1 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^5 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 20, 60, 100, 140, 35, 75, 115, 155, 9, 49, 89, 129, 33, 73, 113, 153, 27, 67, 107, 147, 36, 76, 116, 156, 13, 53, 93, 133, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 6, 46, 86, 126, 26, 66, 106, 146, 30, 70, 110, 150, 29, 69, 109, 149, 38, 78, 118, 158, 18, 58, 98, 138, 31, 71, 111, 151, 12, 52, 92, 132)(3, 43, 83, 123, 15, 55, 95, 135, 32, 72, 112, 152, 19, 59, 99, 139, 39, 79, 119, 159, 24, 64, 104, 144, 5, 45, 85, 125, 22, 62, 102, 142, 34, 74, 114, 154, 17, 57, 97, 137)(8, 48, 88, 128, 14, 54, 94, 134, 11, 51, 91, 131, 37, 77, 117, 157, 25, 65, 105, 145, 23, 63, 103, 143, 28, 68, 108, 148, 16, 56, 96, 136, 40, 80, 120, 160, 21, 61, 101, 141)
	L = (1, 42)(2, 48)(3, 53)(4, 58)(5, 41)(6, 65)(7, 66)(8, 55)(9, 71)(10, 56)(11, 64)(12, 77)(13, 78)(14, 74)(15, 73)(16, 43)(17, 44)(18, 61)(19, 47)(20, 70)(21, 79)(22, 76)(23, 45)(24, 75)(25, 57)(26, 54)(27, 46)(28, 59)(29, 63)(30, 80)(31, 68)(32, 60)(33, 69)(34, 49)(35, 50)(36, 52)(37, 72)(38, 51)(39, 67)(40, 62)(81, 123)(82, 129)(83, 134)(84, 139)(85, 141)(86, 121)(87, 142)(88, 150)(89, 152)(90, 156)(91, 122)(92, 124)(93, 159)(94, 138)(95, 145)(96, 149)(97, 160)(98, 153)(99, 128)(100, 125)(101, 130)(102, 131)(103, 132)(104, 148)(105, 158)(106, 155)(107, 154)(108, 126)(109, 127)(110, 147)(111, 133)(112, 136)(113, 144)(114, 143)(115, 137)(116, 135)(117, 146)(118, 140)(119, 157)(120, 151)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.676
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 30
	degree seq :: [ 40^4 ]

E24.678 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 10})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1^4, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^4, Y1^-1 * Y2^-2 * Y1^-2 * Y2^-1, (Y3 * Y1^-1 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 13, 53, 93, 133)(5, 45, 85, 125, 15, 55, 95, 135)(6, 46, 86, 126, 16, 56, 96, 136)(7, 47, 87, 127, 18, 58, 98, 138)(8, 48, 88, 128, 27, 67, 107, 147)(10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 32, 72, 112, 152)(12, 52, 92, 132, 22, 62, 102, 142)(17, 57, 97, 137, 20, 60, 100, 140)(19, 59, 99, 139, 35, 75, 115, 155)(21, 61, 101, 141, 36, 76, 116, 156)(23, 63, 103, 143, 37, 77, 117, 157)(24, 64, 104, 144, 28, 68, 108, 148)(25, 65, 105, 145, 33, 73, 113, 153)(26, 66, 106, 146, 30, 70, 110, 150)(29, 69, 109, 149, 34, 74, 114, 154)(31, 71, 111, 151, 38, 78, 118, 158)(39, 79, 119, 159, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 51)(4, 49)(5, 41)(6, 60)(7, 55)(8, 65)(9, 58)(10, 53)(11, 69)(12, 68)(13, 72)(14, 43)(15, 44)(16, 57)(17, 71)(18, 45)(19, 63)(20, 78)(21, 46)(22, 64)(23, 79)(24, 67)(25, 62)(26, 59)(27, 73)(28, 48)(29, 50)(30, 75)(31, 61)(32, 74)(33, 52)(34, 54)(35, 77)(36, 56)(37, 80)(38, 76)(39, 70)(40, 66)(81, 123)(82, 128)(83, 132)(84, 133)(85, 137)(86, 121)(87, 143)(88, 146)(89, 147)(90, 122)(91, 151)(92, 136)(93, 142)(94, 129)(95, 140)(96, 124)(97, 154)(98, 157)(99, 125)(100, 149)(101, 148)(102, 126)(103, 141)(104, 127)(105, 131)(106, 134)(107, 150)(108, 138)(109, 139)(110, 130)(111, 160)(112, 158)(113, 152)(114, 155)(115, 135)(116, 144)(117, 156)(118, 159)(119, 145)(120, 153)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.675
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 14
	degree seq :: [ 8^20 ]

E24.679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y3^-1 * Y2^-2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^-2 * Y2^3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 14, 54)(5, 45, 9, 49)(6, 46, 17, 57)(8, 48, 21, 61)(10, 50, 24, 64)(11, 51, 18, 58)(12, 52, 25, 65)(13, 53, 26, 66)(15, 55, 22, 62)(16, 56, 28, 68)(19, 59, 31, 71)(20, 60, 32, 72)(23, 63, 34, 74)(27, 67, 33, 73)(29, 69, 35, 75)(30, 70, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 95, 135, 85, 125)(82, 122, 87, 127, 98, 138, 102, 142, 89, 129)(84, 124, 92, 132, 86, 126, 93, 133, 96, 136)(88, 128, 99, 139, 90, 130, 100, 140, 103, 143)(94, 134, 105, 145, 97, 137, 106, 146, 108, 148)(101, 141, 111, 151, 104, 144, 112, 152, 114, 154)(107, 147, 117, 157, 109, 149, 118, 158, 110, 150)(113, 153, 119, 159, 115, 155, 120, 160, 116, 156)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 96)(6, 81)(7, 99)(8, 102)(9, 103)(10, 82)(11, 86)(12, 85)(13, 83)(14, 107)(15, 93)(16, 91)(17, 109)(18, 90)(19, 89)(20, 87)(21, 113)(22, 100)(23, 98)(24, 115)(25, 117)(26, 118)(27, 106)(28, 110)(29, 94)(30, 97)(31, 119)(32, 120)(33, 112)(34, 116)(35, 101)(36, 104)(37, 108)(38, 105)(39, 114)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.689
Graph:: simple bipartite
	v = 28 e = 80 f = 6
	degree seq :: [ 4^20, 10^8 ]

E24.680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, Y1 * Y2^-1 * Y1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^5, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, 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 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 13, 53)(5, 45, 9, 49)(6, 46, 16, 56)(8, 48, 19, 59)(10, 50, 22, 62)(11, 51, 17, 57)(12, 52, 24, 64)(14, 54, 20, 60)(15, 55, 27, 67)(18, 58, 30, 70)(21, 61, 33, 73)(23, 63, 35, 75)(25, 65, 31, 71)(26, 66, 32, 72)(28, 68, 34, 74)(29, 69, 38, 78)(36, 76, 39, 79)(37, 77, 40, 80)(81, 121, 83, 123, 91, 131, 94, 134, 85, 125)(82, 122, 87, 127, 97, 137, 100, 140, 89, 129)(84, 124, 92, 132, 103, 143, 95, 135, 86, 126)(88, 128, 98, 138, 109, 149, 101, 141, 90, 130)(93, 133, 104, 144, 115, 155, 107, 147, 96, 136)(99, 139, 110, 150, 118, 158, 113, 153, 102, 142)(105, 145, 116, 156, 117, 157, 108, 148, 106, 146)(111, 151, 119, 159, 120, 160, 114, 154, 112, 152)
	L = (1, 84)(2, 88)(3, 92)(4, 83)(5, 86)(6, 81)(7, 98)(8, 87)(9, 90)(10, 82)(11, 103)(12, 91)(13, 105)(14, 95)(15, 85)(16, 106)(17, 109)(18, 97)(19, 111)(20, 101)(21, 89)(22, 112)(23, 94)(24, 116)(25, 104)(26, 93)(27, 108)(28, 96)(29, 100)(30, 119)(31, 110)(32, 99)(33, 114)(34, 102)(35, 117)(36, 115)(37, 107)(38, 120)(39, 118)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.688
Graph:: simple bipartite
	v = 28 e = 80 f = 6
	degree seq :: [ 4^20, 10^8 ]

E24.681 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 13, 53)(5, 45, 9, 49)(6, 46, 16, 56)(8, 48, 19, 59)(10, 50, 22, 62)(11, 51, 17, 57)(12, 52, 24, 64)(14, 54, 26, 66)(15, 55, 21, 61)(18, 58, 30, 70)(20, 60, 32, 72)(23, 63, 35, 75)(25, 65, 31, 71)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 38, 78)(36, 76, 39, 79)(37, 77, 40, 80)(81, 121, 83, 123, 91, 131, 95, 135, 85, 125)(82, 122, 87, 127, 97, 137, 101, 141, 89, 129)(84, 124, 86, 126, 92, 132, 103, 143, 94, 134)(88, 128, 90, 130, 98, 138, 109, 149, 100, 140)(93, 133, 96, 136, 104, 144, 115, 155, 106, 146)(99, 139, 102, 142, 110, 150, 118, 158, 112, 152)(105, 145, 107, 147, 108, 148, 116, 156, 117, 157)(111, 151, 113, 153, 114, 154, 119, 159, 120, 160)
	L = (1, 84)(2, 88)(3, 86)(4, 85)(5, 94)(6, 81)(7, 90)(8, 89)(9, 100)(10, 82)(11, 92)(12, 83)(13, 105)(14, 95)(15, 103)(16, 107)(17, 98)(18, 87)(19, 111)(20, 101)(21, 109)(22, 113)(23, 91)(24, 108)(25, 106)(26, 117)(27, 93)(28, 96)(29, 97)(30, 114)(31, 112)(32, 120)(33, 99)(34, 102)(35, 116)(36, 104)(37, 115)(38, 119)(39, 110)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.690
Graph:: simple bipartite
	v = 28 e = 80 f = 6
	degree seq :: [ 4^20, 10^8 ]

E24.682 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2), Y2 * Y3^2 * Y2, Y3^-1 * Y1^-2 * Y3^-1, (Y3 * Y1)^2, (Y2^-1 * Y1)^2, Y2^2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y1^3, Y1 * Y3^-1 * Y1^2 * Y3^-1, R * Y2 * R * Y3^-1 * Y2^-1 * Y3^-1, R * Y2 * R * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 16, 56, 5, 45)(3, 43, 9, 49, 19, 59, 6, 46, 11, 51)(4, 44, 10, 50, 7, 47, 12, 52, 17, 57)(13, 53, 22, 62, 14, 54, 20, 60, 25, 65)(15, 55, 23, 63, 21, 61, 18, 58, 24, 64)(26, 66, 32, 72, 28, 68, 27, 67, 34, 74)(29, 69, 35, 75, 30, 70, 31, 71, 33, 73)(36, 76, 40, 80, 37, 77, 38, 78, 39, 79)(81, 121, 83, 123, 88, 128, 99, 139, 85, 125, 91, 131, 82, 122, 89, 129, 96, 136, 86, 126)(84, 124, 95, 135, 87, 127, 101, 141, 97, 137, 104, 144, 90, 130, 103, 143, 92, 132, 98, 138)(93, 133, 106, 146, 94, 134, 108, 148, 105, 145, 114, 154, 102, 142, 112, 152, 100, 140, 107, 147)(109, 149, 116, 156, 110, 150, 117, 157, 113, 153, 119, 159, 115, 155, 120, 160, 111, 151, 118, 158)
	L = (1, 84)(2, 90)(3, 93)(4, 96)(5, 97)(6, 100)(7, 81)(8, 87)(9, 102)(10, 85)(11, 105)(12, 82)(13, 86)(14, 83)(15, 109)(16, 92)(17, 88)(18, 111)(19, 94)(20, 89)(21, 110)(22, 91)(23, 115)(24, 113)(25, 99)(26, 116)(27, 118)(28, 117)(29, 98)(30, 95)(31, 103)(32, 120)(33, 101)(34, 119)(35, 104)(36, 107)(37, 106)(38, 112)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.686
Graph:: bipartite
	v = 12 e = 80 f = 22
	degree seq :: [ 10^8, 20^4 ]

E24.683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, (Y3 * Y1)^2, Y1^-2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^3, Y3^-1 * Y2 * Y1^2 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 15, 55, 5, 45)(3, 43, 9, 49, 23, 63, 18, 58, 6, 46)(4, 44, 10, 50, 7, 47, 11, 51, 16, 56)(12, 52, 20, 60, 13, 53, 24, 64, 19, 59)(14, 54, 22, 62, 21, 61, 25, 65, 17, 57)(26, 66, 29, 69, 28, 68, 34, 74, 27, 67)(30, 70, 33, 73, 31, 71, 35, 75, 32, 72)(36, 76, 39, 79, 37, 77, 40, 80, 38, 78)(81, 121, 83, 123, 82, 122, 89, 129, 88, 128, 103, 143, 95, 135, 98, 138, 85, 125, 86, 126)(84, 124, 94, 134, 90, 130, 102, 142, 87, 127, 101, 141, 91, 131, 105, 145, 96, 136, 97, 137)(92, 132, 106, 146, 100, 140, 109, 149, 93, 133, 108, 148, 104, 144, 114, 154, 99, 139, 107, 147)(110, 150, 116, 156, 113, 153, 119, 159, 111, 151, 117, 157, 115, 155, 120, 160, 112, 152, 118, 158)
	L = (1, 84)(2, 90)(3, 92)(4, 95)(5, 96)(6, 99)(7, 81)(8, 87)(9, 100)(10, 85)(11, 82)(12, 98)(13, 83)(14, 110)(15, 91)(16, 88)(17, 112)(18, 104)(19, 103)(20, 86)(21, 111)(22, 113)(23, 93)(24, 89)(25, 115)(26, 116)(27, 118)(28, 117)(29, 119)(30, 105)(31, 94)(32, 101)(33, 97)(34, 120)(35, 102)(36, 114)(37, 106)(38, 108)(39, 107)(40, 109)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.685
Graph:: bipartite
	v = 12 e = 80 f = 22
	degree seq :: [ 10^8, 20^4 ]

E24.684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^-2 * Y1^-2, (Y1^-1, Y3^-1), (Y3 * Y1)^2, (R * Y3)^2, (R * Y1^-1)^2, Y3^4 * Y1^-1, Y2^-1 * Y3^2 * Y2 * Y3^-2, (Y2^-1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, (Y3^-1, Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 16, 56, 5, 45)(3, 43, 6, 46, 10, 50, 23, 63, 13, 53)(4, 44, 9, 49, 7, 47, 11, 51, 17, 57)(12, 52, 19, 59, 14, 54, 20, 60, 24, 64)(15, 55, 18, 58, 21, 61, 22, 62, 25, 65)(26, 66, 27, 67, 28, 68, 29, 69, 34, 74)(30, 70, 32, 72, 31, 71, 33, 73, 35, 75)(36, 76, 38, 78, 37, 77, 39, 79, 40, 80)(81, 121, 83, 123, 85, 125, 93, 133, 96, 136, 103, 143, 88, 128, 90, 130, 82, 122, 86, 126)(84, 124, 95, 135, 97, 137, 105, 145, 91, 131, 102, 142, 87, 127, 101, 141, 89, 129, 98, 138)(92, 132, 106, 146, 104, 144, 114, 154, 100, 140, 109, 149, 94, 134, 108, 148, 99, 139, 107, 147)(110, 150, 116, 156, 115, 155, 120, 160, 113, 153, 119, 159, 111, 151, 117, 157, 112, 152, 118, 158)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 97)(6, 99)(7, 81)(8, 87)(9, 85)(10, 94)(11, 82)(12, 103)(13, 104)(14, 83)(15, 110)(16, 91)(17, 88)(18, 112)(19, 93)(20, 86)(21, 111)(22, 113)(23, 100)(24, 90)(25, 115)(26, 116)(27, 118)(28, 117)(29, 119)(30, 102)(31, 95)(32, 105)(33, 98)(34, 120)(35, 101)(36, 109)(37, 106)(38, 114)(39, 107)(40, 108)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.687
Graph:: bipartite
	v = 12 e = 80 f = 22
	degree seq :: [ 10^8, 20^4 ]

E24.685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (Y2 * R)^2, Y2 * Y1^-1 * Y2 * Y3^2 * Y1^-1, Y3^5 * Y2, Y3^-2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, Y3 * Y1 * Y3 * Y1^-3, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 23, 63, 14, 54, 30, 70, 38, 78, 36, 76, 22, 62, 34, 74, 40, 80, 35, 75, 16, 56, 32, 72, 39, 79, 37, 77, 12, 52, 28, 68, 19, 59, 5, 45)(3, 43, 11, 51, 24, 64, 21, 61, 6, 46, 18, 58, 26, 66, 9, 49, 31, 71, 17, 57, 29, 69, 8, 48, 27, 67, 20, 60, 33, 73, 10, 50, 4, 44, 15, 55, 25, 65, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 97, 137)(86, 126, 94, 134)(87, 127, 104, 144)(89, 129, 108, 148)(90, 130, 110, 150)(91, 131, 115, 155)(93, 133, 114, 154)(95, 135, 116, 156)(96, 136, 107, 147)(98, 138, 117, 157)(99, 139, 105, 145)(100, 140, 103, 143)(101, 141, 112, 152)(102, 142, 111, 151)(106, 146, 118, 158)(109, 149, 120, 160)(113, 153, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 98)(6, 81)(7, 105)(8, 108)(9, 112)(10, 82)(11, 116)(12, 107)(13, 110)(14, 83)(15, 103)(16, 111)(17, 117)(18, 115)(19, 113)(20, 85)(21, 114)(22, 86)(23, 97)(24, 99)(25, 119)(26, 87)(27, 102)(28, 101)(29, 118)(30, 88)(31, 94)(32, 93)(33, 120)(34, 90)(35, 95)(36, 100)(37, 91)(38, 104)(39, 109)(40, 106)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E24.683
Graph:: bipartite
	v = 22 e = 80 f = 12
	degree seq :: [ 4^20, 40^2 ]

E24.686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, Y3^5 * Y2, Y1^-1 * Y2 * Y3^2 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1 * Y2 * Y1^-2, Y3^-3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y1 * Y3 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^14 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 21, 61, 15, 55, 28, 68, 40, 80, 32, 72, 13, 53, 26, 66, 38, 78, 31, 71, 12, 52, 25, 65, 37, 77, 34, 74, 20, 60, 30, 70, 17, 57, 5, 45)(3, 43, 11, 51, 22, 62, 9, 49, 27, 67, 36, 76, 35, 75, 19, 59, 6, 46, 16, 56, 24, 64, 8, 48, 4, 44, 14, 54, 23, 63, 39, 79, 33, 73, 18, 58, 29, 69, 10, 50)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 96, 136)(86, 126, 93, 133)(87, 127, 102, 142)(89, 129, 105, 145)(90, 130, 106, 146)(91, 131, 111, 151)(94, 134, 101, 141)(95, 135, 107, 147)(97, 137, 109, 149)(98, 138, 112, 152)(99, 139, 110, 150)(100, 140, 113, 153)(103, 143, 117, 157)(104, 144, 118, 158)(108, 148, 119, 159)(114, 154, 116, 156)(115, 155, 120, 160)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 91)(6, 81)(7, 103)(8, 105)(9, 108)(10, 82)(11, 101)(12, 107)(13, 83)(14, 114)(15, 113)(16, 111)(17, 104)(18, 85)(19, 106)(20, 86)(21, 116)(22, 117)(23, 120)(24, 87)(25, 119)(26, 88)(27, 100)(28, 99)(29, 118)(30, 90)(31, 94)(32, 96)(33, 93)(34, 98)(35, 97)(36, 112)(37, 115)(38, 102)(39, 110)(40, 109)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E24.682
Graph:: bipartite
	v = 22 e = 80 f = 12
	degree seq :: [ 4^20, 40^2 ]

E24.687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, Y3^-5 * Y2, Y3^3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^16 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 21, 61, 20, 60, 30, 70, 40, 80, 33, 73, 12, 52, 25, 65, 37, 77, 31, 71, 13, 53, 26, 66, 38, 78, 34, 74, 15, 55, 27, 67, 18, 58, 5, 45)(3, 43, 11, 51, 22, 62, 10, 50, 29, 69, 36, 76, 35, 75, 16, 56, 4, 44, 14, 54, 23, 63, 8, 48, 6, 46, 19, 59, 24, 64, 39, 79, 32, 72, 17, 57, 28, 68, 9, 49)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 94, 134)(86, 126, 93, 133)(87, 127, 102, 142)(89, 129, 105, 145)(90, 130, 106, 146)(91, 131, 111, 151)(95, 135, 112, 152)(96, 136, 107, 147)(97, 137, 113, 153)(98, 138, 108, 148)(99, 139, 101, 141)(100, 140, 109, 149)(103, 143, 117, 157)(104, 144, 118, 158)(110, 150, 119, 159)(114, 154, 116, 156)(115, 155, 120, 160)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 97)(6, 81)(7, 103)(8, 105)(9, 107)(10, 82)(11, 85)(12, 112)(13, 83)(14, 113)(15, 109)(16, 110)(17, 114)(18, 115)(19, 111)(20, 86)(21, 91)(22, 117)(23, 98)(24, 87)(25, 96)(26, 88)(27, 119)(28, 120)(29, 93)(30, 90)(31, 94)(32, 100)(33, 116)(34, 99)(35, 118)(36, 101)(37, 108)(38, 102)(39, 106)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E24.684
Graph:: bipartite
	v = 22 e = 80 f = 12
	degree seq :: [ 4^20, 40^2 ]

E24.688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y2 * Y1^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, Y1^10, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 16, 56, 28, 68, 37, 77, 33, 73, 24, 64, 12, 52, 4, 44)(3, 43, 9, 49, 17, 57, 30, 70, 38, 78, 34, 74, 26, 66, 13, 53, 21, 61, 8, 48)(5, 45, 11, 51, 18, 58, 7, 47, 19, 59, 29, 69, 39, 79, 35, 75, 25, 65, 14, 54)(10, 50, 20, 60, 31, 71, 40, 80, 36, 76, 27, 67, 15, 55, 22, 62, 32, 72, 23, 63)(81, 121, 83, 123, 90, 130, 99, 139, 108, 148, 118, 158, 116, 156, 105, 145, 92, 132, 101, 141, 112, 152, 98, 138, 86, 126, 97, 137, 111, 151, 119, 159, 113, 153, 106, 146, 95, 135, 85, 125)(82, 122, 87, 127, 100, 140, 110, 150, 117, 157, 115, 155, 107, 147, 93, 133, 84, 124, 91, 131, 103, 143, 89, 129, 96, 136, 109, 149, 120, 160, 114, 154, 104, 144, 94, 134, 102, 142, 88, 128)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 91)(6, 96)(7, 99)(8, 83)(9, 97)(10, 100)(11, 98)(12, 84)(13, 101)(14, 85)(15, 102)(16, 108)(17, 110)(18, 87)(19, 109)(20, 111)(21, 88)(22, 112)(23, 90)(24, 92)(25, 94)(26, 93)(27, 95)(28, 117)(29, 119)(30, 118)(31, 120)(32, 103)(33, 104)(34, 106)(35, 105)(36, 107)(37, 113)(38, 114)(39, 115)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.680
Graph:: bipartite
	v = 6 e = 80 f = 28
	degree seq :: [ 20^4, 40^2 ]

E24.689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), (Y3 * Y2^-1)^2, Y3^-1 * Y1 * Y3^-2, Y1^-3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2^-4 * Y3, Y2^-1 * Y3 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 7, 47, 12, 52, 26, 66, 18, 58, 4, 44, 10, 50, 5, 45)(3, 43, 13, 53, 24, 64, 16, 56, 32, 72, 20, 60, 33, 73, 11, 51, 31, 71, 15, 55)(6, 46, 17, 57, 25, 65, 19, 59, 29, 69, 9, 49, 27, 67, 21, 61, 30, 70, 22, 62)(14, 54, 28, 68, 23, 63, 34, 74, 38, 78, 37, 77, 40, 80, 35, 75, 39, 79, 36, 76)(81, 121, 83, 123, 94, 134, 110, 150, 90, 130, 111, 151, 119, 159, 107, 147, 98, 138, 113, 153, 120, 160, 109, 149, 92, 132, 112, 152, 118, 158, 105, 145, 88, 128, 104, 144, 103, 143, 86, 126)(82, 122, 89, 129, 108, 148, 100, 140, 85, 125, 99, 139, 116, 156, 96, 136, 84, 124, 97, 137, 115, 155, 93, 133, 106, 146, 102, 142, 117, 157, 95, 135, 87, 127, 101, 141, 114, 154, 91, 131)
	L = (1, 84)(2, 90)(3, 91)(4, 92)(5, 98)(6, 101)(7, 81)(8, 85)(9, 105)(10, 106)(11, 112)(12, 82)(13, 111)(14, 115)(15, 113)(16, 83)(17, 110)(18, 87)(19, 86)(20, 104)(21, 109)(22, 107)(23, 116)(24, 95)(25, 102)(26, 88)(27, 99)(28, 119)(29, 97)(30, 89)(31, 100)(32, 93)(33, 96)(34, 94)(35, 118)(36, 120)(37, 103)(38, 108)(39, 117)(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, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.679
Graph:: bipartite
	v = 6 e = 80 f = 28
	degree seq :: [ 20^4, 40^2 ]

E24.690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (Y1^-1, Y3), Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y1 * Y3, Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-4 * Y1^-1, (Y3^-1 * Y2^-2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 4, 44, 10, 50, 25, 65, 19, 59, 7, 47, 12, 52, 5, 45)(3, 43, 13, 53, 24, 64, 15, 55, 31, 71, 11, 51, 32, 72, 17, 57, 33, 73, 16, 56)(6, 46, 21, 61, 26, 66, 22, 62, 30, 70, 20, 60, 29, 69, 9, 49, 27, 67, 18, 58)(14, 54, 28, 68, 38, 78, 36, 76, 40, 80, 35, 75, 39, 79, 37, 77, 23, 63, 34, 74)(81, 121, 83, 123, 94, 134, 106, 146, 88, 128, 104, 144, 118, 158, 110, 150, 90, 130, 111, 151, 120, 160, 109, 149, 99, 139, 112, 152, 119, 159, 107, 147, 92, 132, 113, 153, 103, 143, 86, 126)(82, 122, 89, 129, 108, 148, 97, 137, 84, 124, 98, 138, 116, 156, 96, 136, 105, 145, 101, 141, 115, 155, 93, 133, 87, 127, 102, 142, 117, 157, 95, 135, 85, 125, 100, 140, 114, 154, 91, 131)
	L = (1, 84)(2, 90)(3, 95)(4, 99)(5, 88)(6, 102)(7, 81)(8, 105)(9, 86)(10, 87)(11, 113)(12, 82)(13, 111)(14, 116)(15, 112)(16, 104)(17, 83)(18, 106)(19, 85)(20, 107)(21, 110)(22, 109)(23, 108)(24, 91)(25, 92)(26, 100)(27, 101)(28, 120)(29, 98)(30, 89)(31, 97)(32, 96)(33, 93)(34, 118)(35, 103)(36, 119)(37, 94)(38, 115)(39, 114)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.681
Graph:: bipartite
	v = 6 e = 80 f = 28
	degree seq :: [ 20^4, 40^2 ]

E24.691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^2 * Y1 * Y3^-2 * Y1, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3 * Y2^-1)^5, Y2^10, Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 12, 52)(10, 50, 14, 54)(15, 55, 20, 60)(16, 56, 21, 61)(17, 57, 25, 65)(18, 58, 23, 63)(19, 59, 27, 67)(22, 62, 29, 69)(24, 64, 31, 71)(26, 66, 30, 70)(28, 68, 32, 72)(33, 73, 36, 76)(34, 74, 39, 79)(35, 75, 38, 78)(37, 77, 40, 80)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 117, 157, 112, 152, 104, 144, 94, 134, 86, 126)(87, 127, 95, 135, 105, 145, 113, 153, 119, 159, 115, 155, 107, 147, 98, 138, 89, 129, 96, 136)(91, 131, 100, 140, 109, 149, 116, 156, 120, 160, 118, 158, 111, 151, 103, 143, 93, 133, 101, 141)
	L = (1, 84)(2, 86)(3, 81)(4, 90)(5, 82)(6, 94)(7, 96)(8, 83)(9, 98)(10, 99)(11, 101)(12, 85)(13, 103)(14, 104)(15, 87)(16, 89)(17, 88)(18, 107)(19, 108)(20, 91)(21, 93)(22, 92)(23, 111)(24, 112)(25, 95)(26, 97)(27, 115)(28, 114)(29, 100)(30, 102)(31, 118)(32, 117)(33, 105)(34, 106)(35, 119)(36, 109)(37, 110)(38, 120)(39, 113)(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) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.696
Graph:: bipartite
	v = 24 e = 80 f = 10
	degree seq :: [ 4^20, 20^4 ]

E24.692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3 * Y2, (R * Y2)^2, Y3 * Y2^-3, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 15, 55)(5, 45, 17, 57)(6, 46, 18, 58)(7, 47, 19, 59)(8, 48, 23, 63)(9, 49, 25, 65)(10, 50, 26, 66)(12, 52, 20, 60)(13, 53, 21, 61)(14, 54, 22, 62)(16, 56, 24, 64)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(30, 70, 36, 76)(31, 71, 39, 79)(32, 72, 38, 78)(37, 77, 40, 80)(81, 121, 83, 123, 92, 132, 84, 124, 93, 133, 111, 151, 96, 136, 86, 126, 94, 134, 85, 125)(82, 122, 87, 127, 100, 140, 88, 128, 101, 141, 117, 157, 104, 144, 90, 130, 102, 142, 89, 129)(91, 131, 107, 147, 95, 135, 108, 148, 119, 159, 112, 152, 98, 138, 110, 150, 97, 137, 109, 149)(99, 139, 113, 153, 103, 143, 114, 154, 120, 160, 118, 158, 106, 146, 116, 156, 105, 145, 115, 155)
	L = (1, 84)(2, 88)(3, 93)(4, 96)(5, 92)(6, 81)(7, 101)(8, 104)(9, 100)(10, 82)(11, 108)(12, 111)(13, 86)(14, 83)(15, 112)(16, 85)(17, 107)(18, 109)(19, 114)(20, 117)(21, 90)(22, 87)(23, 118)(24, 89)(25, 113)(26, 115)(27, 119)(28, 98)(29, 95)(30, 91)(31, 94)(32, 97)(33, 120)(34, 106)(35, 103)(36, 99)(37, 102)(38, 105)(39, 110)(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) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.694
Graph:: bipartite
	v = 24 e = 80 f = 10
	degree seq :: [ 4^20, 20^4 ]

E24.693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3 * Y3^-1, Y3^2 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 15, 55)(5, 45, 17, 57)(6, 46, 18, 58)(7, 47, 19, 59)(8, 48, 23, 63)(9, 49, 25, 65)(10, 50, 26, 66)(12, 52, 20, 60)(13, 53, 21, 61)(14, 54, 22, 62)(16, 56, 24, 64)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(30, 70, 36, 76)(31, 71, 39, 79)(32, 72, 38, 78)(37, 77, 40, 80)(81, 121, 83, 123, 92, 132, 86, 126, 94, 134, 111, 151, 96, 136, 84, 124, 93, 133, 85, 125)(82, 122, 87, 127, 100, 140, 90, 130, 102, 142, 117, 157, 104, 144, 88, 128, 101, 141, 89, 129)(91, 131, 107, 147, 98, 138, 110, 150, 119, 159, 112, 152, 95, 135, 108, 148, 97, 137, 109, 149)(99, 139, 113, 153, 106, 146, 116, 156, 120, 160, 118, 158, 103, 143, 114, 154, 105, 145, 115, 155)
	L = (1, 84)(2, 88)(3, 93)(4, 94)(5, 96)(6, 81)(7, 101)(8, 102)(9, 104)(10, 82)(11, 108)(12, 85)(13, 111)(14, 83)(15, 110)(16, 86)(17, 112)(18, 109)(19, 114)(20, 89)(21, 117)(22, 87)(23, 116)(24, 90)(25, 118)(26, 115)(27, 97)(28, 119)(29, 95)(30, 91)(31, 92)(32, 98)(33, 105)(34, 120)(35, 103)(36, 99)(37, 100)(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) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.695
Graph:: bipartite
	v = 24 e = 80 f = 10
	degree seq :: [ 4^20, 20^4 ]

E24.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), (Y2, Y1), (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y3^-2 * Y1^-2, Y2 * Y1 * Y2^3, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 5, 45)(3, 43, 9, 49, 25, 65, 35, 75, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 19, 59)(6, 46, 11, 51, 26, 66, 37, 77, 21, 61)(13, 53, 23, 63, 31, 71, 39, 79, 33, 73)(14, 54, 27, 67, 16, 56, 20, 60, 29, 69)(17, 57, 28, 68, 24, 64, 22, 62, 30, 70)(32, 72, 38, 78, 34, 74, 36, 76, 40, 80)(81, 121, 83, 123, 93, 133, 101, 141, 85, 125, 95, 135, 113, 153, 117, 157, 98, 138, 115, 155, 119, 159, 106, 146, 88, 128, 105, 145, 111, 151, 91, 131, 82, 122, 89, 129, 103, 143, 86, 126)(84, 124, 97, 137, 112, 152, 96, 136, 99, 139, 110, 150, 120, 160, 107, 147, 92, 132, 102, 142, 116, 156, 94, 134, 87, 127, 104, 144, 114, 154, 109, 149, 90, 130, 108, 148, 118, 158, 100, 140)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 99)(6, 102)(7, 81)(8, 87)(9, 107)(10, 85)(11, 110)(12, 82)(13, 112)(14, 115)(15, 109)(16, 83)(17, 86)(18, 92)(19, 88)(20, 89)(21, 104)(22, 117)(23, 118)(24, 106)(25, 96)(26, 97)(27, 95)(28, 91)(29, 105)(30, 101)(31, 114)(32, 119)(33, 120)(34, 93)(35, 100)(36, 103)(37, 108)(38, 113)(39, 116)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.692
Graph:: bipartite
	v = 10 e = 80 f = 24
	degree seq :: [ 10^8, 40^2 ]

E24.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-2, (Y1^-1, Y2), R * Y2 * R * Y1 * Y2^-1, Y3^-3 * Y1 * Y3^-1, Y2 * Y3 * Y2 * Y1^-1 * Y3^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y2 * Y1^2 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 5, 45)(3, 43, 9, 49, 27, 67, 35, 75, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 19, 59)(6, 46, 11, 51, 28, 68, 38, 78, 21, 61)(13, 53, 29, 69, 40, 80, 23, 63, 31, 71)(14, 54, 26, 66, 16, 56, 30, 70, 20, 60)(17, 57, 24, 64, 25, 65, 32, 72, 22, 62)(33, 73, 37, 77, 34, 74, 39, 79, 36, 76)(81, 121, 83, 123, 93, 133, 108, 148, 88, 128, 107, 147, 120, 160, 101, 141, 85, 125, 95, 135, 111, 151, 91, 131, 82, 122, 89, 129, 109, 149, 118, 158, 98, 138, 115, 155, 103, 143, 86, 126)(84, 124, 97, 137, 113, 153, 106, 146, 87, 127, 105, 145, 114, 154, 110, 150, 99, 139, 102, 142, 116, 156, 94, 134, 90, 130, 104, 144, 117, 157, 96, 136, 92, 132, 112, 152, 119, 159, 100, 140)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 99)(6, 102)(7, 81)(8, 87)(9, 106)(10, 85)(11, 97)(12, 82)(13, 113)(14, 115)(15, 100)(16, 83)(17, 101)(18, 92)(19, 88)(20, 107)(21, 112)(22, 118)(23, 119)(24, 86)(25, 91)(26, 95)(27, 96)(28, 104)(29, 117)(30, 89)(31, 116)(32, 108)(33, 103)(34, 93)(35, 110)(36, 120)(37, 111)(38, 105)(39, 109)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E24.693
Graph:: bipartite
	v = 10 e = 80 f = 24
	degree seq :: [ 10^8, 40^2 ]

E24.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y3 * Y1)^2, (Y2, Y1^-1), Y3^2 * Y1^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2, Y3^-4 * Y1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, R * Y2 * Y1 * R * Y2^-1, Y2^-4 * Y1^-2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^-1 * Y1 * Y2^-3 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 5, 45)(3, 43, 9, 49, 27, 67, 37, 77, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 19, 59)(6, 46, 11, 51, 28, 68, 33, 73, 21, 61)(13, 53, 29, 69, 23, 63, 30, 70, 35, 75)(14, 54, 20, 60, 16, 56, 26, 66, 32, 72)(17, 57, 22, 62, 25, 65, 24, 64, 31, 71)(34, 74, 38, 78, 36, 76, 39, 79, 40, 80)(81, 121, 83, 123, 93, 133, 113, 153, 98, 138, 117, 157, 110, 150, 91, 131, 82, 122, 89, 129, 109, 149, 101, 141, 85, 125, 95, 135, 115, 155, 108, 148, 88, 128, 107, 147, 103, 143, 86, 126)(84, 124, 97, 137, 114, 154, 112, 152, 92, 132, 104, 144, 119, 159, 96, 136, 90, 130, 102, 142, 118, 158, 94, 134, 99, 139, 111, 151, 120, 160, 106, 146, 87, 127, 105, 145, 116, 156, 100, 140)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 99)(6, 102)(7, 81)(8, 87)(9, 100)(10, 85)(11, 105)(12, 82)(13, 114)(14, 117)(15, 112)(16, 83)(17, 108)(18, 92)(19, 88)(20, 95)(21, 97)(22, 113)(23, 116)(24, 86)(25, 101)(26, 89)(27, 96)(28, 104)(29, 118)(30, 119)(31, 91)(32, 107)(33, 111)(34, 110)(35, 120)(36, 93)(37, 106)(38, 115)(39, 109)(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) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E24.691
Graph:: bipartite
	v = 10 e = 80 f = 24
	degree seq :: [ 10^8, 40^2 ]

E24.697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^5 * Y3 * Y2^4 * Y1 * Y2, Y1^-1 * Y2^-4 * Y3^-1 * Y2^3 * Y1 * Y2 * Y1^-1, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 9, 49, 13, 53, 7, 47)(5, 45, 11, 51, 14, 54, 8, 48)(10, 50, 15, 55, 21, 61, 17, 57)(12, 52, 16, 56, 22, 62, 19, 59)(18, 58, 25, 65, 29, 69, 23, 63)(20, 60, 27, 67, 30, 70, 24, 64)(26, 66, 31, 71, 37, 77, 33, 73)(28, 68, 32, 72, 38, 78, 35, 75)(34, 74, 40, 80, 36, 76, 39, 79)(81, 121, 83, 123, 90, 130, 98, 138, 106, 146, 114, 154, 118, 158, 110, 150, 102, 142, 94, 134, 86, 126, 93, 133, 101, 141, 109, 149, 117, 157, 116, 156, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131, 84, 124, 89, 129, 97, 137, 105, 145, 113, 153, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 91)(6, 84)(7, 83)(8, 85)(9, 93)(10, 95)(11, 94)(12, 96)(13, 87)(14, 88)(15, 101)(16, 102)(17, 90)(18, 105)(19, 92)(20, 107)(21, 97)(22, 99)(23, 98)(24, 100)(25, 109)(26, 111)(27, 110)(28, 112)(29, 103)(30, 104)(31, 117)(32, 118)(33, 106)(34, 120)(35, 108)(36, 119)(37, 113)(38, 115)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.698
Graph:: bipartite
	v = 12 e = 80 f = 22
	degree seq :: [ 8^10, 40^2 ]

E24.698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y2 * Y1^-1 * Y2 * Y1, Y3^-1 * Y1^-4 * Y3 * Y1^4, Y2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 15, 55, 23, 63, 31, 71, 35, 75, 27, 67, 19, 59, 11, 51, 3, 43, 8, 48, 16, 56, 24, 64, 32, 72, 38, 78, 30, 70, 22, 62, 14, 54, 5, 45)(4, 44, 10, 50, 17, 57, 26, 66, 33, 73, 40, 80, 37, 77, 29, 69, 21, 61, 13, 53, 6, 46, 9, 49, 18, 58, 25, 65, 34, 74, 39, 79, 36, 76, 28, 68, 20, 60, 12, 52)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 86, 126)(85, 125, 91, 131)(87, 127, 96, 136)(89, 129, 90, 130)(92, 132, 93, 133)(94, 134, 99, 139)(95, 135, 104, 144)(97, 137, 98, 138)(100, 140, 101, 141)(102, 142, 107, 147)(103, 143, 112, 152)(105, 145, 106, 146)(108, 148, 109, 149)(110, 150, 115, 155)(111, 151, 118, 158)(113, 153, 114, 154)(116, 156, 117, 157)(119, 159, 120, 160)
	L = (1, 84)(2, 89)(3, 86)(4, 83)(5, 93)(6, 81)(7, 97)(8, 90)(9, 88)(10, 82)(11, 92)(12, 85)(13, 91)(14, 100)(15, 105)(16, 98)(17, 96)(18, 87)(19, 101)(20, 99)(21, 94)(22, 109)(23, 113)(24, 106)(25, 104)(26, 95)(27, 108)(28, 102)(29, 107)(30, 116)(31, 119)(32, 114)(33, 112)(34, 103)(35, 117)(36, 115)(37, 110)(38, 120)(39, 118)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E24.697
Graph:: bipartite
	v = 22 e = 80 f = 12
	degree seq :: [ 4^20, 40^2 ]

E24.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^5, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3 * Y2 * Y3^3 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-2 * Y2 ]
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, 106, 146, 115, 155, 120, 160, 110, 150)(98, 138, 109, 149, 119, 159, 116, 156, 102, 142)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 107)(12, 106)(13, 83)(14, 105)(15, 110)(16, 111)(17, 85)(18, 86)(19, 113)(20, 98)(21, 87)(22, 97)(23, 116)(24, 117)(25, 89)(26, 90)(27, 115)(28, 91)(29, 93)(30, 118)(31, 120)(32, 96)(33, 109)(34, 99)(35, 101)(36, 112)(37, 119)(38, 104)(39, 108)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 16, 80, 16, 80 ), ( 16, 80, 16, 80, 16, 80, 16, 80, 16, 80 ) }
Outer automorphisms :: reflexible
Dual of E24.702
Graph:: simple bipartite
	v = 28 e = 80 f = 6
	degree seq :: [ 4^20, 10^8 ]

E24.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, (Y1 * Y3)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-2 * Y1^3, Y2^2 * Y3^-1 * Y2^2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-4, Y2^-1 * Y3^2 * Y2 * Y1^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 33, 73, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 18, 58)(6, 46, 11, 51, 24, 64, 35, 75, 20, 60)(13, 53, 25, 65, 37, 77, 39, 79, 32, 72)(14, 54, 26, 66, 16, 56, 27, 67, 34, 74)(19, 59, 28, 68, 22, 62, 30, 70, 36, 76)(21, 61, 29, 69, 38, 78, 40, 80, 31, 71)(81, 121, 83, 123, 93, 133, 108, 148, 90, 130, 106, 146, 101, 141, 86, 126)(82, 122, 89, 129, 105, 145, 102, 142, 87, 127, 96, 136, 109, 149, 91, 131)(84, 124, 94, 134, 111, 151, 100, 140, 85, 125, 95, 135, 112, 152, 99, 139)(88, 128, 103, 143, 117, 157, 110, 150, 92, 132, 107, 147, 118, 158, 104, 144)(97, 137, 113, 153, 119, 159, 116, 156, 98, 138, 114, 154, 120, 160, 115, 155)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 98)(6, 99)(7, 81)(8, 87)(9, 106)(10, 85)(11, 108)(12, 82)(13, 111)(14, 113)(15, 114)(16, 83)(17, 92)(18, 88)(19, 115)(20, 116)(21, 112)(22, 86)(23, 96)(24, 102)(25, 101)(26, 95)(27, 89)(28, 100)(29, 93)(30, 91)(31, 119)(32, 120)(33, 107)(34, 103)(35, 110)(36, 104)(37, 109)(38, 105)(39, 118)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E24.701
Graph:: bipartite
	v = 13 e = 80 f = 21
	degree seq :: [ 10^8, 16^5 ]

E24.701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1^4, Y3^5 * Y2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, (Y1^-1 * Y3^-1)^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 15, 55, 4, 44, 9, 49, 20, 60, 30, 70, 14, 54, 23, 63, 34, 74, 39, 79, 29, 69, 36, 76, 38, 78, 28, 68, 13, 53, 22, 62, 27, 67, 12, 52, 3, 43, 8, 48, 19, 59, 26, 66, 11, 51, 21, 61, 33, 73, 37, 77, 25, 65, 35, 75, 40, 80, 32, 72, 18, 58, 24, 64, 31, 71, 17, 57, 6, 46, 10, 50, 16, 56, 5, 45)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 91, 131)(85, 125, 92, 132)(86, 126, 93, 133)(87, 127, 99, 139)(89, 129, 101, 141)(90, 130, 102, 142)(94, 134, 105, 145)(95, 135, 106, 146)(96, 136, 107, 147)(97, 137, 108, 148)(98, 138, 109, 149)(100, 140, 113, 153)(103, 143, 115, 155)(104, 144, 116, 156)(110, 150, 117, 157)(111, 151, 118, 158)(112, 152, 119, 159)(114, 154, 120, 160)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 95)(6, 81)(7, 100)(8, 101)(9, 103)(10, 82)(11, 105)(12, 106)(13, 83)(14, 109)(15, 110)(16, 87)(17, 85)(18, 86)(19, 113)(20, 114)(21, 115)(22, 88)(23, 116)(24, 90)(25, 98)(26, 117)(27, 99)(28, 92)(29, 93)(30, 119)(31, 96)(32, 97)(33, 120)(34, 118)(35, 104)(36, 102)(37, 112)(38, 107)(39, 108)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 16, 10, 16 ), ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.700
Graph:: bipartite
	v = 21 e = 80 f = 13
	degree seq :: [ 4^20, 80 ]

E24.702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y2, (Y2^-1 * Y3)^2, (Y3, Y1^-1), (R * Y2)^2, (Y2^-1, Y1), (Y2, Y3), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y2^-1 * Y1^-2 * Y3 * Y1^-2, Y2^-5 * Y1^-1, Y1^-2 * Y2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 16, 56, 30, 70, 18, 58, 5, 45)(3, 43, 9, 49, 24, 64, 17, 57, 4, 44, 10, 50, 25, 65, 15, 55)(6, 46, 11, 51, 26, 66, 20, 60, 7, 47, 12, 52, 27, 67, 19, 59)(13, 53, 28, 68, 37, 77, 36, 76, 14, 54, 29, 69, 38, 78, 35, 75)(21, 61, 31, 71, 39, 79, 34, 74, 22, 62, 32, 72, 40, 80, 33, 73)(81, 121, 83, 123, 93, 133, 113, 153, 99, 139, 85, 125, 95, 135, 115, 155, 120, 160, 107, 147, 98, 138, 105, 145, 118, 158, 112, 152, 92, 132, 110, 150, 90, 130, 109, 149, 102, 142, 87, 127, 96, 136, 84, 124, 94, 134, 114, 154, 100, 140, 103, 143, 97, 137, 116, 156, 119, 159, 106, 146, 88, 128, 104, 144, 117, 157, 111, 151, 91, 131, 82, 122, 89, 129, 108, 148, 101, 141, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 97)(6, 96)(7, 81)(8, 105)(9, 109)(10, 108)(11, 110)(12, 82)(13, 114)(14, 113)(15, 116)(16, 83)(17, 115)(18, 104)(19, 103)(20, 85)(21, 87)(22, 86)(23, 95)(24, 118)(25, 117)(26, 98)(27, 88)(28, 102)(29, 101)(30, 89)(31, 92)(32, 91)(33, 100)(34, 99)(35, 119)(36, 120)(37, 112)(38, 111)(39, 107)(40, 106)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.699
Graph:: bipartite
	v = 6 e = 80 f = 28
	degree seq :: [ 16^5, 80 ]

E24.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^4 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-3, Y3^-2 * Y2^-1 * Y3^-3 * Y2^-2, (Y2^-1 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 8, 48)(5, 45, 9, 49)(6, 46, 10, 50)(11, 51, 16, 56)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(17, 57, 23, 63)(18, 58, 24, 64)(25, 65, 31, 71)(26, 66, 32, 72)(27, 67, 35, 75)(28, 68, 29, 69)(30, 70, 34, 74)(33, 73, 36, 76)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 91, 131, 89, 129, 82, 122, 87, 127, 96, 136, 85, 125)(84, 124, 92, 132, 105, 145, 102, 142, 88, 128, 99, 139, 111, 151, 95, 135)(86, 126, 93, 133, 106, 146, 103, 143, 90, 130, 100, 140, 112, 152, 97, 137)(94, 134, 107, 147, 117, 157, 114, 154, 101, 141, 115, 155, 120, 160, 110, 150)(98, 138, 108, 148, 118, 158, 116, 156, 104, 144, 109, 149, 119, 159, 113, 153)
	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, 109)(15, 110)(16, 111)(17, 85)(18, 86)(19, 115)(20, 87)(21, 108)(22, 114)(23, 89)(24, 90)(25, 117)(26, 91)(27, 119)(28, 93)(29, 100)(30, 104)(31, 120)(32, 96)(33, 97)(34, 98)(35, 118)(36, 103)(37, 113)(38, 106)(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) :: { ( 10, 80, 10, 80 ), ( 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80 ) }
Outer automorphisms :: reflexible
Dual of E24.704
Graph:: bipartite
	v = 25 e = 80 f = 9
	degree seq :: [ 4^20, 16^5 ]

E24.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (R * Y3)^2, Y2^4 * Y3, Y3^-3 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-2 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 33, 73, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 18, 58)(6, 46, 11, 51, 24, 64, 35, 75, 20, 60)(13, 53, 25, 65, 39, 79, 37, 77, 31, 71)(14, 54, 26, 66, 16, 56, 27, 67, 34, 74)(19, 59, 28, 68, 22, 62, 30, 70, 36, 76)(21, 61, 29, 69, 32, 72, 40, 80, 38, 78)(81, 121, 83, 123, 93, 133, 102, 142, 87, 127, 96, 136, 112, 152, 104, 144, 88, 128, 103, 143, 119, 159, 116, 156, 98, 138, 114, 154, 118, 158, 100, 140, 85, 125, 95, 135, 111, 151, 108, 148, 90, 130, 106, 146, 109, 149, 91, 131, 82, 122, 89, 129, 105, 145, 110, 150, 92, 132, 107, 147, 120, 160, 115, 155, 97, 137, 113, 153, 117, 157, 99, 139, 84, 124, 94, 134, 101, 141, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 98)(6, 99)(7, 81)(8, 87)(9, 106)(10, 85)(11, 108)(12, 82)(13, 101)(14, 113)(15, 114)(16, 83)(17, 92)(18, 88)(19, 115)(20, 116)(21, 117)(22, 86)(23, 96)(24, 102)(25, 109)(26, 95)(27, 89)(28, 100)(29, 111)(30, 91)(31, 118)(32, 93)(33, 107)(34, 103)(35, 110)(36, 104)(37, 120)(38, 119)(39, 112)(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, 16, 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 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 E24.703
Graph:: bipartite
	v = 9 e = 80 f = 25
	degree seq :: [ 10^8, 80 ]

E24.705 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2, (Y2^-1 * Y3)^3, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1, Y2^6, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^2, (Y3 * Y1)^3, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 18, 60, 40, 82, 21, 63, 33, 75, 9, 51, 26, 68, 23, 65, 35, 77, 13, 55, 29, 71, 25, 67, 7, 49)(2, 44, 10, 52, 34, 76, 24, 66, 6, 48, 15, 57, 27, 69, 20, 62, 36, 78, 42, 84, 30, 72, 14, 56, 38, 80, 12, 54)(3, 45, 8, 50, 28, 70, 19, 61, 37, 79, 11, 53, 32, 74, 22, 64, 5, 47, 17, 59, 39, 81, 41, 83, 31, 73, 16, 58)(85, 86, 92, 110, 104, 89)(87, 97, 122, 106, 124, 99)(88, 98, 123, 107, 90, 103)(91, 108, 116, 93, 114, 100)(94, 115, 102, 120, 95, 119)(96, 121, 109, 111, 125, 117)(101, 113, 126, 112, 105, 118)(127, 129, 140, 152, 148, 132)(128, 135, 157, 146, 133, 137)(130, 143, 162, 149, 154, 136)(131, 138, 155, 134, 153, 147)(139, 158, 168, 166, 142, 160)(141, 161, 167, 164, 144, 163)(145, 156, 151, 165, 150, 159)
	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) :: { ( 8^6 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E24.708
Graph:: bipartite
	v = 17 e = 84 f = 21
	degree seq :: [ 6^14, 28^3 ]

E24.706 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2^-3, Y1^-3 * Y3, Y2^-1 * Y3 * Y2 * Y3, Y3 * Y1 * Y3 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 4, 46)(2, 44, 9, 51)(3, 45, 13, 55)(5, 47, 7, 49)(6, 48, 12, 54)(8, 50, 23, 65)(10, 52, 22, 64)(11, 53, 28, 70)(14, 56, 27, 69)(15, 57, 19, 61)(16, 58, 20, 62)(17, 59, 30, 72)(18, 60, 31, 73)(21, 63, 40, 82)(24, 66, 39, 81)(25, 67, 41, 83)(26, 68, 42, 84)(29, 71, 37, 79)(32, 74, 35, 77)(33, 75, 36, 78)(34, 76, 38, 80)(85, 86, 91, 88, 93, 89)(87, 95, 111, 97, 112, 98)(90, 101, 115, 96, 114, 102)(92, 105, 123, 107, 124, 108)(94, 109, 126, 106, 125, 110)(99, 116, 120, 103, 119, 117)(100, 113, 122, 104, 121, 118)(127, 129, 138, 130, 139, 132)(128, 134, 148, 135, 149, 136)(131, 141, 146, 133, 145, 142)(137, 150, 163, 154, 165, 155)(140, 151, 161, 153, 167, 158)(143, 147, 162, 156, 166, 159)(144, 160, 168, 157, 164, 152)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 56^4 ), ( 56^6 ) }
Outer automorphisms :: reflexible
Dual of E24.707
Graph:: bipartite
	v = 35 e = 84 f = 3
	degree seq :: [ 4^21, 6^14 ]

E24.707 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2, (Y2^-1 * Y3)^3, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1, Y2^6, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^2, (Y3 * Y1)^3, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 18, 60, 102, 144, 40, 82, 124, 166, 21, 63, 105, 147, 33, 75, 117, 159, 9, 51, 93, 135, 26, 68, 110, 152, 23, 65, 107, 149, 35, 77, 119, 161, 13, 55, 97, 139, 29, 71, 113, 155, 25, 67, 109, 151, 7, 49, 91, 133)(2, 44, 86, 128, 10, 52, 94, 136, 34, 76, 118, 160, 24, 66, 108, 150, 6, 48, 90, 132, 15, 57, 99, 141, 27, 69, 111, 153, 20, 62, 104, 146, 36, 78, 120, 162, 42, 84, 126, 168, 30, 72, 114, 156, 14, 56, 98, 140, 38, 80, 122, 164, 12, 54, 96, 138)(3, 45, 87, 129, 8, 50, 92, 134, 28, 70, 112, 154, 19, 61, 103, 145, 37, 79, 121, 163, 11, 53, 95, 137, 32, 74, 116, 158, 22, 64, 106, 148, 5, 47, 89, 131, 17, 59, 101, 143, 39, 81, 123, 165, 41, 83, 125, 167, 31, 73, 115, 157, 16, 58, 100, 142)
	L = (1, 44)(2, 50)(3, 55)(4, 56)(5, 43)(6, 61)(7, 66)(8, 68)(9, 72)(10, 73)(11, 77)(12, 79)(13, 80)(14, 81)(15, 45)(16, 49)(17, 71)(18, 78)(19, 46)(20, 47)(21, 76)(22, 82)(23, 48)(24, 74)(25, 69)(26, 62)(27, 83)(28, 63)(29, 84)(30, 58)(31, 60)(32, 51)(33, 54)(34, 59)(35, 52)(36, 53)(37, 67)(38, 64)(39, 65)(40, 57)(41, 75)(42, 70)(85, 129)(86, 135)(87, 140)(88, 143)(89, 138)(90, 127)(91, 137)(92, 153)(93, 157)(94, 130)(95, 128)(96, 155)(97, 158)(98, 152)(99, 161)(100, 160)(101, 162)(102, 163)(103, 156)(104, 133)(105, 131)(106, 132)(107, 154)(108, 159)(109, 165)(110, 148)(111, 147)(112, 136)(113, 134)(114, 151)(115, 146)(116, 168)(117, 145)(118, 139)(119, 167)(120, 149)(121, 141)(122, 144)(123, 150)(124, 142)(125, 164)(126, 166)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.706
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 35
	degree seq :: [ 56^3 ]

E24.708 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2^-3, Y1^-3 * Y3, Y2^-1 * Y3 * Y2 * Y3, Y3 * Y1 * Y3 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130)(2, 44, 86, 128, 9, 51, 93, 135)(3, 45, 87, 129, 13, 55, 97, 139)(5, 47, 89, 131, 7, 49, 91, 133)(6, 48, 90, 132, 12, 54, 96, 138)(8, 50, 92, 134, 23, 65, 107, 149)(10, 52, 94, 136, 22, 64, 106, 148)(11, 53, 95, 137, 28, 70, 112, 154)(14, 56, 98, 140, 27, 69, 111, 153)(15, 57, 99, 141, 19, 61, 103, 145)(16, 58, 100, 142, 20, 62, 104, 146)(17, 59, 101, 143, 30, 72, 114, 156)(18, 60, 102, 144, 31, 73, 115, 157)(21, 63, 105, 147, 40, 82, 124, 166)(24, 66, 108, 150, 39, 81, 123, 165)(25, 67, 109, 151, 41, 83, 125, 167)(26, 68, 110, 152, 42, 84, 126, 168)(29, 71, 113, 155, 37, 79, 121, 163)(32, 74, 116, 158, 35, 77, 119, 161)(33, 75, 117, 159, 36, 78, 120, 162)(34, 76, 118, 160, 38, 80, 122, 164)
	L = (1, 44)(2, 49)(3, 53)(4, 51)(5, 43)(6, 59)(7, 46)(8, 63)(9, 47)(10, 67)(11, 69)(12, 72)(13, 70)(14, 45)(15, 74)(16, 71)(17, 73)(18, 48)(19, 77)(20, 79)(21, 81)(22, 83)(23, 82)(24, 50)(25, 84)(26, 52)(27, 55)(28, 56)(29, 80)(30, 60)(31, 54)(32, 78)(33, 57)(34, 58)(35, 75)(36, 61)(37, 76)(38, 62)(39, 65)(40, 66)(41, 68)(42, 64)(85, 129)(86, 134)(87, 138)(88, 139)(89, 141)(90, 127)(91, 145)(92, 148)(93, 149)(94, 128)(95, 150)(96, 130)(97, 132)(98, 151)(99, 146)(100, 131)(101, 147)(102, 160)(103, 142)(104, 133)(105, 162)(106, 135)(107, 136)(108, 163)(109, 161)(110, 144)(111, 167)(112, 165)(113, 137)(114, 166)(115, 164)(116, 140)(117, 143)(118, 168)(119, 153)(120, 156)(121, 154)(122, 152)(123, 155)(124, 159)(125, 158)(126, 157)
	local type(s) :: { ( 6, 28, 6, 28, 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.705
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 17
	degree seq :: [ 8^21 ]

E24.709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, 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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 17, 59)(12, 54, 18, 60)(13, 55, 19, 61)(14, 56, 20, 62)(15, 57, 21, 63)(16, 58, 22, 64)(23, 65, 29, 71)(24, 66, 30, 72)(25, 67, 31, 73)(26, 68, 32, 74)(27, 69, 33, 75)(28, 70, 34, 76)(35, 77, 39, 81)(36, 78, 40, 82)(37, 79, 41, 83)(38, 80, 42, 84)(85, 127, 87, 129, 89, 131)(86, 128, 91, 133, 93, 135)(88, 130, 95, 137, 98, 140)(90, 132, 96, 138, 99, 141)(92, 134, 101, 143, 104, 146)(94, 136, 102, 144, 105, 147)(97, 139, 107, 149, 110, 152)(100, 142, 108, 150, 111, 153)(103, 145, 113, 155, 116, 158)(106, 148, 114, 156, 117, 159)(109, 151, 119, 161, 122, 164)(112, 154, 120, 162, 121, 163)(115, 157, 123, 165, 126, 168)(118, 160, 124, 166, 125, 167)
	L = (1, 88)(2, 92)(3, 95)(4, 97)(5, 98)(6, 85)(7, 101)(8, 103)(9, 104)(10, 86)(11, 107)(12, 87)(13, 109)(14, 110)(15, 89)(16, 90)(17, 113)(18, 91)(19, 115)(20, 116)(21, 93)(22, 94)(23, 119)(24, 96)(25, 121)(26, 122)(27, 99)(28, 100)(29, 123)(30, 102)(31, 125)(32, 126)(33, 105)(34, 106)(35, 112)(36, 108)(37, 111)(38, 120)(39, 118)(40, 114)(41, 117)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84, 42, 84 ), ( 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E24.712
Graph:: simple bipartite
	v = 35 e = 84 f = 3
	degree seq :: [ 4^21, 6^14 ]

E24.710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3), (Y2^-1, Y1^-1), (Y3^-1 * Y1^-1)^2, Y2^7 * Y1^-1, (Y2^-1 * Y3)^42 ]
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, 16, 58)(11, 53, 19, 61, 25, 67)(12, 54, 20, 62, 14, 56)(15, 57, 21, 63, 18, 60)(17, 59, 22, 64, 28, 70)(23, 65, 31, 73, 36, 78)(24, 66, 32, 74, 26, 68)(27, 69, 33, 75, 30, 72)(29, 71, 34, 76, 39, 81)(35, 77, 41, 83, 37, 79)(38, 80, 42, 84, 40, 82)(85, 127, 87, 129, 95, 137, 107, 149, 118, 160, 106, 148, 94, 136, 86, 128, 92, 134, 103, 145, 115, 157, 123, 165, 112, 154, 100, 142, 89, 131, 97, 139, 109, 151, 120, 162, 113, 155, 101, 143, 90, 132)(88, 130, 96, 138, 108, 150, 119, 161, 126, 168, 117, 159, 105, 147, 93, 135, 104, 146, 116, 158, 125, 167, 124, 166, 114, 156, 102, 144, 91, 133, 98, 140, 110, 152, 121, 163, 122, 164, 111, 153, 99, 141)
	L = (1, 88)(2, 93)(3, 96)(4, 86)(5, 91)(6, 99)(7, 85)(8, 104)(9, 89)(10, 105)(11, 108)(12, 92)(13, 98)(14, 87)(15, 94)(16, 102)(17, 111)(18, 90)(19, 116)(20, 97)(21, 100)(22, 117)(23, 119)(24, 103)(25, 110)(26, 95)(27, 106)(28, 114)(29, 122)(30, 101)(31, 125)(32, 109)(33, 112)(34, 126)(35, 115)(36, 121)(37, 107)(38, 118)(39, 124)(40, 113)(41, 120)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E24.711
Graph:: bipartite
	v = 16 e = 84 f = 22
	degree seq :: [ 6^14, 42^2 ]

E24.711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-6, (Y1^-1 * Y3^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 29, 71, 26, 68, 14, 56, 4, 46, 9, 51, 19, 61, 31, 73, 40, 82, 37, 79, 25, 67, 13, 55, 22, 64, 34, 76, 42, 84, 36, 78, 24, 66, 12, 54, 3, 45, 8, 50, 18, 60, 30, 72, 39, 81, 35, 77, 23, 65, 11, 53, 21, 63, 33, 75, 41, 83, 38, 80, 28, 70, 16, 58, 6, 48, 10, 52, 20, 62, 32, 74, 27, 69, 15, 57, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 102, 144)(93, 135, 105, 147)(94, 136, 106, 148)(98, 140, 107, 149)(99, 141, 108, 150)(100, 142, 109, 151)(101, 143, 114, 156)(103, 145, 117, 159)(104, 146, 118, 160)(110, 152, 119, 161)(111, 153, 120, 162)(112, 154, 121, 163)(113, 155, 123, 165)(115, 157, 125, 167)(116, 158, 126, 168)(122, 164, 124, 166)
	L = (1, 88)(2, 93)(3, 95)(4, 97)(5, 98)(6, 85)(7, 103)(8, 105)(9, 106)(10, 86)(11, 90)(12, 107)(13, 87)(14, 109)(15, 110)(16, 89)(17, 115)(18, 117)(19, 118)(20, 91)(21, 94)(22, 92)(23, 100)(24, 119)(25, 96)(26, 121)(27, 113)(28, 99)(29, 124)(30, 125)(31, 126)(32, 101)(33, 104)(34, 102)(35, 112)(36, 123)(37, 108)(38, 111)(39, 122)(40, 120)(41, 116)(42, 114)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 42, 6, 42 ), ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E24.710
Graph:: bipartite
	v = 22 e = 84 f = 16
	degree seq :: [ 4^21, 84 ]

E24.712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, (Y1^-1, Y3), (Y1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y2), Y1^-3 * Y3^-3, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^5 * Y3^-2, Y2^-1 * Y1 * Y2^-3 * Y3^-1 * Y1, Y1^2 * Y2^-1 * Y1^3 * Y2^-1, Y2^30 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 35, 77, 13, 55, 28, 70, 20, 62, 7, 49, 12, 54, 27, 69, 39, 81, 17, 59, 4, 46, 10, 52, 25, 67, 21, 63, 31, 73, 34, 76, 18, 60, 5, 47)(3, 45, 9, 51, 24, 66, 22, 64, 32, 74, 33, 75, 42, 84, 38, 80, 16, 58, 30, 72, 41, 83, 40, 82, 36, 78, 14, 56, 29, 71, 19, 61, 6, 48, 11, 53, 26, 68, 37, 79, 15, 57)(85, 127, 87, 129, 97, 139, 117, 159, 111, 153, 125, 167, 109, 151, 103, 145, 89, 131, 99, 141, 119, 161, 116, 158, 96, 138, 114, 156, 94, 136, 113, 155, 102, 144, 121, 163, 107, 149, 106, 148, 91, 133, 100, 142, 88, 130, 98, 140, 118, 160, 110, 152, 92, 134, 108, 150, 104, 146, 122, 164, 101, 143, 120, 162, 115, 157, 95, 137, 86, 128, 93, 135, 112, 154, 126, 168, 123, 165, 124, 166, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 97)(5, 101)(6, 100)(7, 85)(8, 109)(9, 113)(10, 112)(11, 114)(12, 86)(13, 118)(14, 117)(15, 120)(16, 87)(17, 119)(18, 123)(19, 122)(20, 89)(21, 91)(22, 90)(23, 105)(24, 103)(25, 104)(26, 125)(27, 92)(28, 102)(29, 126)(30, 93)(31, 96)(32, 95)(33, 110)(34, 111)(35, 115)(36, 116)(37, 124)(38, 99)(39, 107)(40, 106)(41, 108)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E24.709
Graph:: bipartite
	v = 3 e = 84 f = 35
	degree seq :: [ 42^2, 84 ]

E24.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, Y3^3 * Y2^-3, Y3^2 * Y2^5, Y3^42 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 35, 77)(28, 70, 36, 78)(29, 71, 37, 79)(30, 72, 38, 80)(31, 73, 39, 81)(32, 74, 40, 82)(33, 75, 41, 83)(34, 76, 42, 84)(85, 127, 87, 129, 95, 137, 111, 153, 118, 160, 102, 144, 115, 157, 99, 141, 88, 130, 96, 138, 112, 154, 117, 159, 101, 143, 90, 132, 97, 139, 113, 155, 98, 140, 114, 156, 116, 158, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 119, 161, 126, 168, 110, 152, 123, 165, 107, 149, 92, 134, 104, 146, 120, 162, 125, 167, 109, 151, 94, 136, 105, 147, 121, 163, 106, 148, 122, 164, 124, 166, 108, 150, 93, 135)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 114)(13, 87)(14, 111)(15, 113)(16, 115)(17, 89)(18, 90)(19, 120)(20, 122)(21, 91)(22, 119)(23, 121)(24, 123)(25, 93)(26, 94)(27, 117)(28, 116)(29, 95)(30, 118)(31, 97)(32, 102)(33, 100)(34, 101)(35, 125)(36, 124)(37, 103)(38, 126)(39, 105)(40, 110)(41, 108)(42, 109)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 84, 6, 84 ), ( 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84 ) }
Outer automorphisms :: reflexible
Dual of E24.714
Graph:: bipartite
	v = 23 e = 84 f = 15
	degree seq :: [ 4^21, 42^2 ]

E24.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2, Y3), Y2^5 * Y3 * Y2^2, (Y2^-1 * Y3)^21 ]
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, 16, 58)(11, 53, 19, 61, 25, 67)(12, 54, 20, 62, 14, 56)(15, 57, 21, 63, 18, 60)(17, 59, 22, 64, 28, 70)(23, 65, 31, 73, 37, 79)(24, 66, 32, 74, 26, 68)(27, 69, 33, 75, 30, 72)(29, 71, 34, 76, 40, 82)(35, 77, 39, 81, 42, 84)(36, 78, 41, 83, 38, 80)(85, 127, 87, 129, 95, 137, 107, 149, 119, 161, 114, 156, 102, 144, 91, 133, 98, 140, 110, 152, 122, 164, 124, 166, 112, 154, 100, 142, 89, 131, 97, 139, 109, 151, 121, 163, 126, 168, 117, 159, 105, 147, 93, 135, 104, 146, 116, 158, 125, 167, 118, 160, 106, 148, 94, 136, 86, 128, 92, 134, 103, 145, 115, 157, 123, 165, 111, 153, 99, 141, 88, 130, 96, 138, 108, 150, 120, 162, 113, 155, 101, 143, 90, 132)
	L = (1, 88)(2, 93)(3, 96)(4, 86)(5, 91)(6, 99)(7, 85)(8, 104)(9, 89)(10, 105)(11, 108)(12, 92)(13, 98)(14, 87)(15, 94)(16, 102)(17, 111)(18, 90)(19, 116)(20, 97)(21, 100)(22, 117)(23, 120)(24, 103)(25, 110)(26, 95)(27, 106)(28, 114)(29, 123)(30, 101)(31, 125)(32, 109)(33, 112)(34, 126)(35, 113)(36, 115)(37, 122)(38, 107)(39, 118)(40, 119)(41, 121)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E24.713
Graph:: bipartite
	v = 15 e = 84 f = 23
	degree seq :: [ 6^14, 84 ]

E24.715 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^4, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y3^2 * Y2 * Y3^2 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 18, 66, 7, 55)(2, 50, 9, 57, 30, 78, 11, 59)(3, 51, 13, 61, 38, 86, 15, 63)(5, 53, 16, 64, 34, 82, 21, 69)(6, 54, 17, 65, 25, 73, 24, 72)(8, 56, 26, 74, 23, 71, 28, 76)(10, 58, 29, 77, 43, 91, 33, 81)(12, 60, 35, 83, 20, 68, 36, 84)(14, 62, 37, 85, 45, 93, 40, 88)(19, 67, 41, 89, 32, 80, 44, 92)(22, 70, 42, 90, 27, 75, 46, 94)(31, 79, 47, 95, 39, 87, 48, 96)(97, 98, 101)(99, 108, 110)(100, 112, 105)(102, 118, 119)(103, 117, 107)(104, 121, 123)(106, 127, 128)(109, 133, 131)(111, 136, 132)(113, 124, 138)(114, 126, 130)(115, 139, 135)(116, 141, 134)(120, 122, 142)(125, 140, 143)(129, 137, 144)(145, 147, 150)(146, 152, 154)(148, 161, 157)(149, 163, 164)(151, 168, 159)(153, 173, 170)(155, 177, 172)(156, 178, 176)(158, 183, 171)(160, 180, 185)(162, 182, 169)(165, 179, 188)(166, 189, 175)(167, 187, 174)(181, 190, 192)(184, 186, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^3 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E24.721
Graph:: simple bipartite
	v = 44 e = 96 f = 6
	degree seq :: [ 3^32, 8^12 ]

E24.716 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1 * Y3 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 16, 64, 7, 55)(2, 50, 9, 57, 29, 77, 11, 59)(3, 51, 13, 61, 37, 85, 15, 63)(5, 53, 18, 66, 34, 82, 21, 69)(6, 54, 17, 65, 25, 73, 24, 72)(8, 56, 26, 74, 23, 71, 28, 76)(10, 58, 30, 78, 43, 91, 33, 81)(12, 60, 35, 83, 20, 68, 36, 84)(14, 62, 38, 86, 45, 93, 40, 88)(19, 67, 42, 90, 32, 80, 44, 92)(22, 70, 41, 89, 27, 75, 46, 94)(31, 79, 47, 95, 39, 87, 48, 96)(97, 98, 101)(99, 108, 110)(100, 109, 113)(102, 118, 119)(103, 111, 120)(104, 121, 123)(105, 122, 126)(106, 127, 128)(107, 124, 129)(112, 125, 130)(114, 138, 132)(115, 139, 135)(116, 141, 133)(117, 140, 131)(134, 144, 142)(136, 143, 137)(145, 147, 150)(146, 152, 154)(148, 153, 162)(149, 163, 164)(151, 155, 165)(156, 178, 176)(157, 179, 182)(158, 183, 171)(159, 180, 184)(160, 181, 169)(161, 185, 172)(166, 189, 175)(167, 187, 173)(168, 190, 170)(174, 191, 188)(177, 192, 186)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^3 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E24.722
Graph:: simple bipartite
	v = 44 e = 96 f = 6
	degree seq :: [ 3^32, 8^12 ]

E24.717 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^-2 * Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y2^-1 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 12, 60, 30, 78, 48, 96, 46, 94, 20, 68, 7, 55)(2, 50, 9, 57, 26, 74, 41, 89, 47, 95, 24, 72, 6, 54, 11, 59)(3, 51, 13, 61, 22, 70, 31, 79, 45, 93, 25, 73, 28, 76, 15, 63)(5, 53, 18, 66, 42, 90, 16, 64, 36, 84, 34, 82, 10, 58, 21, 69)(8, 56, 27, 75, 32, 80, 44, 92, 23, 71, 35, 83, 39, 87, 29, 77)(14, 62, 38, 86, 19, 67, 37, 85, 43, 91, 17, 65, 33, 81, 40, 88)(97, 98, 101)(99, 108, 110)(100, 112, 113)(102, 118, 119)(103, 111, 120)(104, 122, 124)(105, 126, 127)(106, 128, 129)(107, 125, 130)(109, 133, 123)(114, 137, 140)(115, 138, 135)(116, 139, 141)(117, 134, 142)(121, 136, 131)(132, 144, 143)(145, 147, 150)(146, 152, 154)(148, 153, 162)(149, 163, 164)(151, 161, 169)(155, 175, 179)(156, 180, 177)(157, 174, 182)(158, 183, 172)(159, 171, 185)(160, 173, 181)(165, 188, 184)(166, 187, 176)(167, 186, 191)(168, 178, 190)(170, 192, 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 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E24.719
Graph:: simple bipartite
	v = 38 e = 96 f = 12
	degree seq :: [ 3^32, 16^6 ]

E24.718 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2 * Y3 * Y1^-1 * Y3^-1, Y3^2 * Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 17, 65, 43, 91, 48, 96, 35, 83, 12, 60, 7, 55)(2, 50, 9, 57, 6, 54, 18, 66, 45, 93, 37, 85, 26, 74, 11, 59)(3, 51, 13, 61, 28, 76, 19, 67, 44, 92, 30, 78, 23, 71, 15, 63)(5, 53, 21, 69, 10, 58, 31, 79, 36, 84, 25, 73, 46, 94, 22, 70)(8, 56, 27, 75, 38, 86, 32, 80, 24, 72, 47, 95, 33, 81, 29, 77)(14, 62, 39, 87, 34, 82, 16, 64, 42, 90, 41, 89, 20, 68, 40, 88)(97, 98, 101)(99, 108, 110)(100, 109, 114)(102, 119, 120)(103, 121, 112)(104, 122, 124)(105, 123, 127)(106, 129, 130)(107, 131, 126)(111, 137, 125)(113, 138, 140)(115, 135, 128)(116, 142, 134)(117, 136, 139)(118, 133, 143)(132, 144, 141)(145, 147, 150)(146, 152, 154)(148, 160, 163)(149, 164, 161)(151, 155, 166)(153, 174, 176)(156, 180, 178)(157, 173, 181)(158, 182, 172)(159, 179, 184)(162, 175, 187)(165, 191, 183)(167, 186, 177)(168, 190, 189)(169, 171, 185)(170, 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 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E24.720
Graph:: simple bipartite
	v = 38 e = 96 f = 12
	degree seq :: [ 3^32, 16^6 ]

E24.719 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^4, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y3^2 * Y2 * Y3^2 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2 * 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, 30, 78, 126, 174, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 38, 86, 134, 182, 15, 63, 111, 159)(5, 53, 101, 149, 16, 64, 112, 160, 34, 82, 130, 178, 21, 69, 117, 165)(6, 54, 102, 150, 17, 65, 113, 161, 25, 73, 121, 169, 24, 72, 120, 168)(8, 56, 104, 152, 26, 74, 122, 170, 23, 71, 119, 167, 28, 76, 124, 172)(10, 58, 106, 154, 29, 77, 125, 173, 43, 91, 139, 187, 33, 81, 129, 177)(12, 60, 108, 156, 35, 83, 131, 179, 20, 68, 116, 164, 36, 84, 132, 180)(14, 62, 110, 158, 37, 85, 133, 181, 45, 93, 141, 189, 40, 88, 136, 184)(19, 67, 115, 163, 41, 89, 137, 185, 32, 80, 128, 176, 44, 92, 140, 188)(22, 70, 118, 166, 42, 90, 138, 186, 27, 75, 123, 171, 46, 94, 142, 190)(31, 79, 127, 175, 47, 95, 143, 191, 39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 70)(7, 69)(8, 73)(9, 52)(10, 79)(11, 55)(12, 62)(13, 85)(14, 51)(15, 88)(16, 57)(17, 76)(18, 78)(19, 91)(20, 93)(21, 59)(22, 71)(23, 54)(24, 74)(25, 75)(26, 94)(27, 56)(28, 90)(29, 92)(30, 82)(31, 80)(32, 58)(33, 89)(34, 66)(35, 61)(36, 63)(37, 83)(38, 68)(39, 67)(40, 84)(41, 96)(42, 65)(43, 87)(44, 95)(45, 86)(46, 72)(47, 77)(48, 81)(97, 147)(98, 152)(99, 150)(100, 161)(101, 163)(102, 145)(103, 168)(104, 154)(105, 173)(106, 146)(107, 177)(108, 178)(109, 148)(110, 183)(111, 151)(112, 180)(113, 157)(114, 182)(115, 164)(116, 149)(117, 179)(118, 189)(119, 187)(120, 159)(121, 162)(122, 153)(123, 158)(124, 155)(125, 170)(126, 167)(127, 166)(128, 156)(129, 172)(130, 176)(131, 188)(132, 185)(133, 190)(134, 169)(135, 171)(136, 186)(137, 160)(138, 191)(139, 174)(140, 165)(141, 175)(142, 192)(143, 184)(144, 181)
	local type(s) :: { ( 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.717
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 38
	degree seq :: [ 16^12 ]

E24.720 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1 * Y3 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 ]
Map:: 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, 29, 77, 125, 173, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 37, 85, 133, 181, 15, 63, 111, 159)(5, 53, 101, 149, 18, 66, 114, 162, 34, 82, 130, 178, 21, 69, 117, 165)(6, 54, 102, 150, 17, 65, 113, 161, 25, 73, 121, 169, 24, 72, 120, 168)(8, 56, 104, 152, 26, 74, 122, 170, 23, 71, 119, 167, 28, 76, 124, 172)(10, 58, 106, 154, 30, 78, 126, 174, 43, 91, 139, 187, 33, 81, 129, 177)(12, 60, 108, 156, 35, 83, 131, 179, 20, 68, 116, 164, 36, 84, 132, 180)(14, 62, 110, 158, 38, 86, 134, 182, 45, 93, 141, 189, 40, 88, 136, 184)(19, 67, 115, 163, 42, 90, 138, 186, 32, 80, 128, 176, 44, 92, 140, 188)(22, 70, 118, 166, 41, 89, 137, 185, 27, 75, 123, 171, 46, 94, 142, 190)(31, 79, 127, 175, 47, 95, 143, 191, 39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 70)(7, 63)(8, 73)(9, 74)(10, 79)(11, 76)(12, 62)(13, 65)(14, 51)(15, 72)(16, 77)(17, 52)(18, 90)(19, 91)(20, 93)(21, 92)(22, 71)(23, 54)(24, 55)(25, 75)(26, 78)(27, 56)(28, 81)(29, 82)(30, 57)(31, 80)(32, 58)(33, 59)(34, 64)(35, 69)(36, 66)(37, 68)(38, 96)(39, 67)(40, 95)(41, 88)(42, 84)(43, 87)(44, 83)(45, 85)(46, 86)(47, 89)(48, 94)(97, 147)(98, 152)(99, 150)(100, 153)(101, 163)(102, 145)(103, 155)(104, 154)(105, 162)(106, 146)(107, 165)(108, 178)(109, 179)(110, 183)(111, 180)(112, 181)(113, 185)(114, 148)(115, 164)(116, 149)(117, 151)(118, 189)(119, 187)(120, 190)(121, 160)(122, 168)(123, 158)(124, 161)(125, 167)(126, 191)(127, 166)(128, 156)(129, 192)(130, 176)(131, 182)(132, 184)(133, 169)(134, 157)(135, 171)(136, 159)(137, 172)(138, 177)(139, 173)(140, 174)(141, 175)(142, 170)(143, 188)(144, 186)
	local type(s) :: { ( 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.718
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 38
	degree seq :: [ 16^12 ]

E24.721 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^-2 * Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y2^-1 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 30, 78, 126, 174, 48, 96, 144, 192, 46, 94, 142, 190, 20, 68, 116, 164, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 26, 74, 122, 170, 41, 89, 137, 185, 47, 95, 143, 191, 24, 72, 120, 168, 6, 54, 102, 150, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 22, 70, 118, 166, 31, 79, 127, 175, 45, 93, 141, 189, 25, 73, 121, 169, 28, 76, 124, 172, 15, 63, 111, 159)(5, 53, 101, 149, 18, 66, 114, 162, 42, 90, 138, 186, 16, 64, 112, 160, 36, 84, 132, 180, 34, 82, 130, 178, 10, 58, 106, 154, 21, 69, 117, 165)(8, 56, 104, 152, 27, 75, 123, 171, 32, 80, 128, 176, 44, 92, 140, 188, 23, 71, 119, 167, 35, 83, 131, 179, 39, 87, 135, 183, 29, 77, 125, 173)(14, 62, 110, 158, 38, 86, 134, 182, 19, 67, 115, 163, 37, 85, 133, 181, 43, 91, 139, 187, 17, 65, 113, 161, 33, 81, 129, 177, 40, 88, 136, 184)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 70)(7, 63)(8, 74)(9, 78)(10, 80)(11, 77)(12, 62)(13, 85)(14, 51)(15, 72)(16, 65)(17, 52)(18, 89)(19, 90)(20, 91)(21, 86)(22, 71)(23, 54)(24, 55)(25, 88)(26, 76)(27, 61)(28, 56)(29, 82)(30, 79)(31, 57)(32, 81)(33, 58)(34, 59)(35, 73)(36, 96)(37, 75)(38, 94)(39, 67)(40, 83)(41, 92)(42, 87)(43, 93)(44, 66)(45, 68)(46, 69)(47, 84)(48, 95)(97, 147)(98, 152)(99, 150)(100, 153)(101, 163)(102, 145)(103, 161)(104, 154)(105, 162)(106, 146)(107, 175)(108, 180)(109, 174)(110, 183)(111, 171)(112, 173)(113, 169)(114, 148)(115, 164)(116, 149)(117, 188)(118, 187)(119, 186)(120, 178)(121, 151)(122, 192)(123, 185)(124, 158)(125, 181)(126, 182)(127, 179)(128, 166)(129, 156)(130, 190)(131, 155)(132, 177)(133, 160)(134, 157)(135, 172)(136, 165)(137, 159)(138, 191)(139, 176)(140, 184)(141, 170)(142, 168)(143, 167)(144, 189)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.715
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 44
	degree seq :: [ 32^6 ]

E24.722 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2 * Y3 * Y1^-1 * Y3^-1, Y3^2 * Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 43, 91, 139, 187, 48, 96, 144, 192, 35, 83, 131, 179, 12, 60, 108, 156, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 6, 54, 102, 150, 18, 66, 114, 162, 45, 93, 141, 189, 37, 85, 133, 181, 26, 74, 122, 170, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 28, 76, 124, 172, 19, 67, 115, 163, 44, 92, 140, 188, 30, 78, 126, 174, 23, 71, 119, 167, 15, 63, 111, 159)(5, 53, 101, 149, 21, 69, 117, 165, 10, 58, 106, 154, 31, 79, 127, 175, 36, 84, 132, 180, 25, 73, 121, 169, 46, 94, 142, 190, 22, 70, 118, 166)(8, 56, 104, 152, 27, 75, 123, 171, 38, 86, 134, 182, 32, 80, 128, 176, 24, 72, 120, 168, 47, 95, 143, 191, 33, 81, 129, 177, 29, 77, 125, 173)(14, 62, 110, 158, 39, 87, 135, 183, 34, 82, 130, 178, 16, 64, 112, 160, 42, 90, 138, 186, 41, 89, 137, 185, 20, 68, 116, 164, 40, 88, 136, 184)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 71)(7, 73)(8, 74)(9, 75)(10, 81)(11, 83)(12, 62)(13, 66)(14, 51)(15, 89)(16, 55)(17, 90)(18, 52)(19, 87)(20, 94)(21, 88)(22, 85)(23, 72)(24, 54)(25, 64)(26, 76)(27, 79)(28, 56)(29, 63)(30, 59)(31, 57)(32, 67)(33, 82)(34, 58)(35, 78)(36, 96)(37, 95)(38, 68)(39, 80)(40, 91)(41, 77)(42, 92)(43, 69)(44, 65)(45, 84)(46, 86)(47, 70)(48, 93)(97, 147)(98, 152)(99, 150)(100, 160)(101, 164)(102, 145)(103, 155)(104, 154)(105, 174)(106, 146)(107, 166)(108, 180)(109, 173)(110, 182)(111, 179)(112, 163)(113, 149)(114, 175)(115, 148)(116, 161)(117, 191)(118, 151)(119, 186)(120, 190)(121, 171)(122, 192)(123, 185)(124, 158)(125, 181)(126, 176)(127, 187)(128, 153)(129, 167)(130, 156)(131, 184)(132, 178)(133, 157)(134, 172)(135, 165)(136, 159)(137, 169)(138, 177)(139, 162)(140, 170)(141, 168)(142, 189)(143, 183)(144, 188)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.716
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 44
	degree seq :: [ 32^6 ]

E24.723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
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, 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, 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, 120)(30, 119)(31, 137)(32, 138)(33, 130)(34, 116)(35, 132)(36, 117)(37, 126)(38, 125)(39, 128)(40, 127)(41, 136)(42, 135)(43, 144)(44, 143)(45, 140)(46, 139)(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, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.725
Graph:: bipartite
	v = 28 e = 96 f = 22
	degree seq :: [ 6^16, 8^12 ]

E24.724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2^4, R * Y2 * R * Y2^-1 * Y1, Y3^2 * Y2^-2 * Y3, Y3^-1 * Y1 * Y3^2 * Y1, Y1^-1 * Y2 * Y3 * Y2 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 19, 67)(6, 54, 22, 70, 10, 58)(7, 55, 26, 74, 28, 76)(9, 57, 34, 82, 35, 83)(11, 59, 30, 78, 39, 87)(13, 61, 31, 79, 42, 90)(14, 62, 44, 92, 45, 93)(15, 63, 36, 84, 29, 77)(17, 65, 40, 88, 33, 81)(18, 66, 21, 69, 46, 94)(20, 68, 38, 86, 37, 85)(23, 71, 41, 89, 47, 95)(24, 72, 48, 96, 43, 91)(25, 73, 32, 80, 27, 75)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 127, 175, 106, 154)(100, 148, 113, 161, 126, 174, 116, 164)(101, 149, 108, 156, 138, 186, 118, 166)(103, 151, 123, 171, 114, 162, 125, 173)(105, 153, 120, 168, 137, 185, 110, 158)(107, 155, 134, 182, 115, 163, 136, 184)(111, 159, 124, 172, 121, 169, 142, 190)(112, 160, 129, 177, 135, 183, 133, 181)(117, 165, 132, 180, 122, 170, 128, 176)(119, 167, 140, 188, 131, 179, 144, 192)(130, 178, 139, 187, 143, 191, 141, 189)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 117)(6, 120)(7, 97)(8, 128)(9, 115)(10, 132)(11, 98)(12, 116)(13, 126)(14, 121)(15, 99)(16, 143)(17, 139)(18, 109)(19, 127)(20, 141)(21, 131)(22, 113)(23, 101)(24, 111)(25, 102)(26, 119)(27, 144)(28, 112)(29, 140)(30, 103)(31, 137)(32, 133)(33, 104)(34, 124)(35, 138)(36, 129)(37, 106)(38, 125)(39, 130)(40, 123)(41, 107)(42, 122)(43, 108)(44, 136)(45, 118)(46, 135)(47, 142)(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, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.726
Graph:: simple bipartite
	v = 28 e = 96 f = 22
	degree seq :: [ 6^16, 8^12 ]

E24.725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y3^2 * Y2^-1, Y2^3, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2 * Y1^3 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^2, Y3 * Y1^-1 * Y3^-1 * Y1^3 * Y3, Y1 * Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-1, Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 36, 84, 25, 73, 15, 63, 5, 53)(3, 51, 9, 57, 22, 70, 8, 56, 21, 69, 30, 78, 27, 75, 10, 58)(4, 52, 11, 59, 28, 76, 24, 72, 33, 81, 13, 61, 32, 80, 12, 60)(7, 55, 19, 67, 38, 86, 18, 66, 26, 74, 41, 89, 40, 88, 20, 68)(14, 62, 17, 65, 37, 85, 45, 93, 29, 77, 35, 83, 46, 94, 34, 82)(23, 71, 43, 91, 48, 96, 42, 90, 31, 79, 44, 92, 47, 95, 39, 87)(97, 145, 99, 147, 100, 148)(98, 146, 103, 151, 104, 152)(101, 149, 109, 157, 110, 158)(102, 150, 113, 161, 114, 162)(105, 153, 119, 167, 120, 168)(106, 154, 121, 169, 122, 170)(107, 155, 125, 173, 112, 160)(108, 156, 126, 174, 127, 175)(111, 159, 131, 179, 116, 164)(115, 163, 135, 183, 123, 171)(117, 165, 129, 177, 132, 180)(118, 166, 137, 185, 138, 186)(124, 172, 140, 188, 130, 178)(128, 176, 139, 187, 141, 189)(133, 181, 143, 191, 136, 184)(134, 182, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 97)(4, 99)(5, 110)(6, 114)(7, 98)(8, 103)(9, 120)(10, 122)(11, 112)(12, 127)(13, 101)(14, 109)(15, 116)(16, 125)(17, 102)(18, 113)(19, 123)(20, 131)(21, 132)(22, 138)(23, 105)(24, 119)(25, 106)(26, 121)(27, 135)(28, 130)(29, 107)(30, 108)(31, 126)(32, 141)(33, 117)(34, 140)(35, 111)(36, 129)(37, 136)(38, 144)(39, 115)(40, 143)(41, 118)(42, 137)(43, 128)(44, 124)(45, 139)(46, 134)(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) :: { ( 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 E24.723
Graph:: bipartite
	v = 22 e = 96 f = 28
	degree seq :: [ 6^16, 16^6 ]

E24.726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, R * Y2^-1 * R * Y3^-1 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^3, Y1^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 32, 80, 46, 94, 41, 89, 18, 66, 5, 53)(3, 51, 13, 61, 7, 55, 28, 76, 38, 86, 10, 58, 19, 67, 15, 63)(4, 52, 17, 65, 29, 77, 22, 70, 31, 79, 24, 72, 43, 91, 20, 68)(6, 54, 25, 73, 16, 64, 9, 57, 35, 83, 12, 60, 39, 87, 27, 75)(11, 59, 26, 74, 37, 85, 33, 81, 23, 71, 34, 82, 47, 95, 21, 69)(14, 62, 42, 90, 45, 93, 40, 88, 30, 78, 44, 92, 48, 96, 36, 84)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 114, 162, 117, 165)(101, 149, 118, 166, 106, 154)(103, 151, 125, 173, 126, 174)(104, 152, 129, 177, 127, 175)(108, 156, 111, 159, 136, 184)(109, 157, 128, 176, 116, 164)(110, 158, 115, 163, 139, 187)(112, 160, 141, 189, 130, 178)(113, 161, 133, 181, 138, 186)(119, 167, 137, 185, 123, 171)(120, 168, 143, 191, 140, 188)(121, 169, 124, 172, 132, 180)(122, 170, 135, 183, 144, 192)(131, 179, 142, 190, 134, 182)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 119)(6, 122)(7, 97)(8, 102)(9, 132)(10, 121)(11, 120)(12, 98)(13, 108)(14, 135)(15, 118)(16, 99)(17, 128)(18, 131)(19, 142)(20, 140)(21, 141)(22, 138)(23, 113)(24, 101)(25, 137)(26, 114)(27, 136)(28, 116)(29, 117)(30, 112)(31, 103)(32, 107)(33, 144)(34, 104)(35, 130)(36, 143)(37, 105)(38, 126)(39, 134)(40, 133)(41, 109)(42, 124)(43, 129)(44, 111)(45, 139)(46, 127)(47, 123)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E24.724
Graph:: bipartite
	v = 22 e = 96 f = 28
	degree seq :: [ 6^16, 16^6 ]

E24.727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2 * Y3, Y3^-1 * Y2^2 * Y3^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 24, 72)(9, 57, 27, 75)(10, 58, 28, 76)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(16, 64, 25, 73)(17, 65, 26, 74)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 44, 92)(36, 84, 43, 91)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 112, 160, 102, 150, 113, 161)(104, 152, 121, 169, 106, 154, 122, 170)(107, 155, 125, 173, 114, 162, 127, 175)(109, 157, 129, 177, 110, 158, 130, 178)(111, 159, 131, 179, 115, 163, 132, 180)(116, 164, 133, 181, 123, 171, 135, 183)(118, 166, 137, 185, 119, 167, 138, 186)(120, 168, 139, 187, 124, 172, 140, 188)(126, 174, 141, 189, 128, 176, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 118)(8, 117)(9, 119)(10, 98)(11, 126)(12, 102)(13, 101)(14, 99)(15, 125)(16, 130)(17, 129)(18, 128)(19, 127)(20, 134)(21, 106)(22, 105)(23, 103)(24, 133)(25, 138)(26, 137)(27, 136)(28, 135)(29, 115)(30, 114)(31, 111)(32, 107)(33, 112)(34, 113)(35, 142)(36, 141)(37, 124)(38, 123)(39, 120)(40, 116)(41, 121)(42, 122)(43, 144)(44, 143)(45, 131)(46, 132)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.737
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2 * Y2, Y3^-2 * Y2^2, Y2^4, Y2^-1 * Y3^-2 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2, (Y3^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y1 * Y2^-2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 24, 72)(9, 57, 27, 75)(10, 58, 28, 76)(12, 60, 21, 69)(13, 61, 25, 73)(14, 62, 26, 74)(16, 64, 22, 70)(17, 65, 23, 71)(29, 77, 38, 86)(30, 78, 37, 85)(31, 79, 40, 88)(32, 80, 39, 87)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 44, 92)(36, 84, 43, 91)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 112, 160, 102, 150, 113, 161)(104, 152, 121, 169, 106, 154, 122, 170)(107, 155, 125, 173, 114, 162, 127, 175)(109, 157, 129, 177, 110, 158, 130, 178)(111, 159, 126, 174, 115, 163, 128, 176)(116, 164, 133, 181, 123, 171, 135, 183)(118, 166, 137, 185, 119, 167, 138, 186)(120, 168, 134, 182, 124, 172, 136, 184)(131, 179, 142, 190, 132, 180, 141, 189)(139, 187, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 118)(8, 117)(9, 119)(10, 98)(11, 126)(12, 102)(13, 101)(14, 99)(15, 131)(16, 130)(17, 129)(18, 128)(19, 132)(20, 134)(21, 106)(22, 105)(23, 103)(24, 139)(25, 138)(26, 137)(27, 136)(28, 140)(29, 141)(30, 114)(31, 142)(32, 107)(33, 112)(34, 113)(35, 115)(36, 111)(37, 143)(38, 123)(39, 144)(40, 116)(41, 121)(42, 122)(43, 124)(44, 120)(45, 127)(46, 125)(47, 135)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.736
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 7, 55)(6, 54, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 13, 61)(12, 60, 18, 66)(16, 64, 17, 65)(19, 67, 21, 69)(20, 68, 24, 72)(22, 70, 23, 71)(25, 73, 27, 75)(26, 74, 28, 76)(29, 77, 31, 79)(30, 78, 32, 80)(33, 81, 34, 82)(35, 83, 36, 84)(37, 85, 38, 86)(39, 87, 40, 88)(41, 89, 43, 91)(42, 90, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 98, 146, 101, 149)(100, 148, 107, 155, 103, 151, 109, 157)(102, 150, 112, 160, 104, 152, 113, 161)(105, 153, 115, 163, 110, 158, 117, 165)(106, 154, 118, 166, 111, 159, 119, 167)(108, 156, 120, 168, 114, 162, 116, 164)(121, 169, 129, 177, 123, 171, 130, 178)(122, 170, 131, 179, 124, 172, 132, 180)(125, 173, 133, 181, 127, 175, 134, 182)(126, 174, 135, 183, 128, 176, 136, 184)(137, 185, 144, 192, 139, 187, 142, 190)(138, 186, 143, 191, 140, 188, 141, 189)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 110)(6, 97)(7, 114)(8, 98)(9, 116)(10, 99)(11, 121)(12, 104)(13, 123)(14, 120)(15, 101)(16, 124)(17, 122)(18, 102)(19, 125)(20, 111)(21, 127)(22, 128)(23, 126)(24, 106)(25, 112)(26, 107)(27, 113)(28, 109)(29, 118)(30, 115)(31, 119)(32, 117)(33, 137)(34, 139)(35, 140)(36, 138)(37, 141)(38, 143)(39, 144)(40, 142)(41, 131)(42, 129)(43, 132)(44, 130)(45, 135)(46, 133)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.738
Graph:: bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y2^-1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^-4 * Y2, Y2^-1 * Y1^2 * Y2^-2, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 22, 70, 15, 63)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 9, 57, 13, 61, 20, 68)(7, 55, 21, 69, 26, 74, 10, 58)(14, 62, 35, 83, 40, 88, 31, 79)(16, 64, 37, 85, 43, 91, 30, 78)(18, 66, 32, 80, 45, 93, 39, 87)(19, 67, 38, 86, 33, 81, 28, 76)(23, 71, 41, 89, 34, 82, 27, 75)(24, 72, 29, 77, 46, 94, 42, 90)(36, 84, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 116, 164, 107, 155)(100, 148, 110, 158, 129, 177, 121, 169, 136, 184, 115, 163)(103, 151, 112, 160, 130, 178, 122, 170, 139, 187, 119, 167)(106, 154, 123, 171, 133, 181, 117, 165, 137, 185, 126, 174)(108, 156, 124, 172, 131, 179, 113, 161, 134, 182, 127, 175)(114, 162, 132, 180, 142, 190, 141, 189, 140, 188, 120, 168)(125, 173, 143, 191, 135, 183, 138, 186, 144, 192, 128, 176)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 115)(7, 97)(8, 121)(9, 123)(10, 125)(11, 126)(12, 98)(13, 129)(14, 132)(15, 133)(16, 99)(17, 101)(18, 112)(19, 120)(20, 137)(21, 138)(22, 136)(23, 102)(24, 103)(25, 141)(26, 104)(27, 143)(28, 105)(29, 124)(30, 128)(31, 107)(32, 108)(33, 142)(34, 109)(35, 111)(36, 130)(37, 135)(38, 116)(39, 113)(40, 140)(41, 144)(42, 134)(43, 118)(44, 119)(45, 139)(46, 122)(47, 131)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.733
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^2, R * Y2 * R * Y2^-1, Y1^-2 * Y2^-3, Y3^3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 22, 70, 15, 63)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 9, 57, 13, 61, 20, 68)(7, 55, 21, 69, 26, 74, 10, 58)(14, 62, 35, 83, 40, 88, 31, 79)(16, 64, 37, 85, 43, 91, 29, 77)(18, 66, 39, 87, 33, 81, 28, 76)(19, 67, 32, 80, 24, 72, 30, 78)(23, 71, 42, 90, 34, 82, 27, 75)(36, 84, 48, 96, 38, 86, 47, 95)(41, 89, 46, 94, 44, 92, 45, 93)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 116, 164, 107, 155)(100, 148, 114, 162, 136, 184, 121, 169, 129, 177, 110, 158)(103, 151, 119, 167, 139, 187, 122, 170, 130, 178, 112, 160)(106, 154, 125, 173, 138, 186, 117, 165, 133, 181, 123, 171)(108, 156, 127, 175, 135, 183, 113, 161, 131, 179, 124, 172)(115, 163, 132, 180, 140, 188, 120, 168, 134, 182, 137, 185)(126, 174, 141, 189, 144, 192, 128, 176, 142, 190, 143, 191)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 117)(6, 114)(7, 97)(8, 121)(9, 123)(10, 126)(11, 125)(12, 98)(13, 129)(14, 132)(15, 133)(16, 99)(17, 101)(18, 137)(19, 122)(20, 138)(21, 128)(22, 136)(23, 102)(24, 103)(25, 120)(26, 104)(27, 141)(28, 105)(29, 143)(30, 113)(31, 107)(32, 108)(33, 140)(34, 109)(35, 111)(36, 139)(37, 144)(38, 112)(39, 116)(40, 134)(41, 130)(42, 142)(43, 118)(44, 119)(45, 135)(46, 124)(47, 131)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.735
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y1^-3, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 24, 72, 34, 82, 28, 76)(16, 64, 20, 68, 35, 83, 31, 79)(25, 73, 39, 87, 29, 77, 36, 84)(26, 74, 42, 90, 30, 78, 41, 89)(27, 75, 43, 91, 46, 94, 44, 92)(32, 80, 40, 88, 33, 81, 37, 85)(38, 86, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 134, 182, 120, 168, 104, 152)(100, 148, 108, 156, 127, 175, 141, 189, 124, 172, 109, 157)(102, 150, 113, 161, 130, 178, 142, 190, 131, 179, 114, 162)(105, 153, 121, 169, 110, 158, 128, 176, 139, 187, 122, 170)(107, 155, 125, 173, 111, 159, 129, 177, 140, 188, 126, 174)(115, 163, 132, 180, 118, 166, 137, 185, 143, 191, 133, 181)(117, 165, 135, 183, 119, 167, 138, 186, 144, 192, 136, 184)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 120)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 116)(17, 107)(18, 111)(19, 108)(20, 131)(21, 103)(22, 109)(23, 104)(24, 130)(25, 135)(26, 138)(27, 139)(28, 106)(29, 132)(30, 137)(31, 112)(32, 136)(33, 133)(34, 124)(35, 127)(36, 121)(37, 128)(38, 143)(39, 125)(40, 129)(41, 122)(42, 126)(43, 142)(44, 123)(45, 144)(46, 140)(47, 141)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.734
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-1 * Y3^3, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * R * Y2 * R, (Y1 * Y2)^4, Y1^-1 * Y3^-2 * 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, 21, 69, 40, 88, 34, 82, 18, 66, 5, 53)(3, 51, 11, 59, 27, 75, 8, 56, 25, 73, 17, 65, 22, 70, 13, 61)(4, 52, 9, 57, 23, 71, 41, 89, 35, 83, 48, 96, 37, 85, 16, 64)(6, 54, 10, 58, 24, 72, 42, 90, 33, 81, 47, 95, 39, 87, 19, 67)(12, 60, 31, 79, 46, 94, 26, 74, 20, 68, 38, 86, 43, 91, 30, 78)(14, 62, 32, 80, 45, 93, 28, 76, 15, 63, 36, 84, 44, 92, 29, 77)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 113, 161)(102, 150, 116, 164)(103, 151, 118, 166)(105, 153, 125, 173)(106, 154, 126, 174)(107, 155, 117, 165)(108, 156, 129, 177)(109, 157, 130, 178)(110, 158, 131, 179)(112, 160, 128, 176)(114, 162, 123, 171)(115, 163, 127, 175)(119, 167, 141, 189)(120, 168, 142, 190)(121, 169, 136, 184)(122, 170, 143, 191)(124, 172, 144, 192)(132, 180, 137, 185)(133, 181, 140, 188)(134, 182, 138, 186)(135, 183, 139, 187)
	L = (1, 100)(2, 105)(3, 108)(4, 106)(5, 112)(6, 97)(7, 119)(8, 122)(9, 120)(10, 98)(11, 127)(12, 128)(13, 126)(14, 99)(15, 121)(16, 102)(17, 134)(18, 133)(19, 101)(20, 132)(21, 137)(22, 139)(23, 138)(24, 103)(25, 116)(26, 111)(27, 142)(28, 104)(29, 109)(30, 110)(31, 141)(32, 107)(33, 136)(34, 144)(35, 143)(36, 113)(37, 115)(38, 140)(39, 114)(40, 131)(41, 129)(42, 117)(43, 125)(44, 118)(45, 123)(46, 124)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.730
Graph:: simple bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, (Y3 * R)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y2)^2, Y1^-4 * Y2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 11, 59, 3, 51, 8, 56, 15, 63, 5, 53)(4, 52, 12, 60, 20, 68, 18, 66, 6, 54, 17, 65, 19, 67, 13, 61)(9, 57, 21, 69, 14, 62, 24, 72, 10, 58, 23, 71, 16, 64, 22, 70)(25, 73, 33, 81, 27, 75, 36, 84, 26, 74, 35, 83, 28, 76, 34, 82)(29, 77, 37, 85, 31, 79, 40, 88, 30, 78, 39, 87, 32, 80, 38, 86)(41, 89, 48, 96, 43, 91, 45, 93, 42, 90, 47, 95, 44, 92, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 102, 150)(101, 149, 107, 155)(103, 151, 111, 159)(105, 153, 106, 154)(108, 156, 113, 161)(109, 157, 114, 162)(110, 158, 112, 160)(115, 163, 116, 164)(117, 165, 119, 167)(118, 166, 120, 168)(121, 169, 122, 170)(123, 171, 124, 172)(125, 173, 126, 174)(127, 175, 128, 176)(129, 177, 131, 179)(130, 178, 132, 180)(133, 181, 135, 183)(134, 182, 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, 115)(8, 106)(9, 104)(10, 98)(11, 112)(12, 121)(13, 123)(14, 107)(15, 116)(16, 101)(17, 122)(18, 124)(19, 111)(20, 103)(21, 125)(22, 127)(23, 126)(24, 128)(25, 113)(26, 108)(27, 114)(28, 109)(29, 119)(30, 117)(31, 120)(32, 118)(33, 137)(34, 139)(35, 138)(36, 140)(37, 141)(38, 143)(39, 142)(40, 144)(41, 131)(42, 129)(43, 132)(44, 130)(45, 135)(46, 133)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.732
Graph:: bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^3, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y1^-1 * R * Y2 * R * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y1 * Y2)^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3^-2 * Y1^6, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 42, 90, 38, 86, 17, 65, 5, 53)(3, 51, 11, 59, 28, 76, 8, 56, 26, 74, 19, 67, 24, 72, 13, 61)(4, 52, 15, 63, 6, 54, 21, 69, 25, 73, 44, 92, 36, 84, 18, 66)(9, 57, 30, 78, 10, 58, 33, 81, 43, 91, 40, 88, 20, 68, 32, 80)(12, 60, 35, 83, 14, 62, 39, 87, 22, 70, 41, 89, 16, 64, 37, 85)(27, 75, 45, 93, 29, 77, 47, 95, 34, 82, 48, 96, 31, 79, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 118, 166)(103, 151, 120, 168)(105, 153, 127, 175)(106, 154, 130, 178)(107, 155, 119, 167)(108, 156, 132, 180)(109, 157, 134, 182)(110, 158, 121, 169)(111, 159, 131, 179)(113, 161, 124, 172)(114, 162, 135, 183)(116, 164, 123, 171)(117, 165, 133, 181)(122, 170, 138, 186)(125, 173, 139, 187)(126, 174, 141, 189)(128, 176, 143, 191)(129, 177, 142, 190)(136, 184, 144, 192)(137, 185, 140, 188)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 102)(8, 123)(9, 101)(10, 98)(11, 127)(12, 120)(13, 130)(14, 99)(15, 129)(16, 122)(17, 132)(18, 126)(19, 125)(20, 134)(21, 136)(22, 124)(23, 106)(24, 112)(25, 103)(26, 118)(27, 107)(28, 110)(29, 104)(30, 140)(31, 109)(32, 117)(33, 114)(34, 115)(35, 141)(36, 138)(37, 142)(38, 139)(39, 143)(40, 111)(41, 144)(42, 121)(43, 119)(44, 128)(45, 133)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.731
Graph:: simple bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (Y3 * Y2)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3^-1, (Y2^-1, Y1^-1), Y1 * Y3^2 * Y1^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y3^-1 * Y2^-1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 19, 67, 20, 68, 5, 53)(3, 51, 9, 57, 25, 73, 38, 86, 39, 87, 15, 63)(4, 52, 17, 65, 12, 60, 7, 55, 22, 70, 10, 58)(6, 54, 11, 59, 26, 74, 33, 81, 42, 90, 21, 69)(13, 61, 27, 75, 44, 92, 24, 72, 32, 80, 35, 83)(14, 62, 37, 85, 29, 77, 16, 64, 40, 88, 28, 76)(18, 66, 41, 89, 31, 79, 23, 71, 43, 91, 30, 78)(34, 82, 47, 95, 46, 94, 36, 84, 48, 96, 45, 93)(97, 145, 99, 147, 109, 157, 129, 177, 115, 163, 134, 182, 120, 168, 102, 150)(98, 146, 105, 153, 123, 171, 138, 186, 116, 164, 135, 183, 128, 176, 107, 155)(100, 148, 114, 162, 132, 180, 110, 158, 103, 151, 119, 167, 130, 178, 112, 160)(101, 149, 111, 159, 131, 179, 122, 170, 104, 152, 121, 169, 140, 188, 117, 165)(106, 154, 126, 174, 142, 190, 124, 172, 108, 156, 127, 175, 141, 189, 125, 173)(113, 161, 137, 185, 144, 192, 133, 181, 118, 166, 139, 187, 143, 191, 136, 184)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 113)(6, 119)(7, 97)(8, 118)(9, 124)(10, 116)(11, 127)(12, 98)(13, 130)(14, 134)(15, 133)(16, 99)(17, 104)(18, 102)(19, 103)(20, 108)(21, 139)(22, 101)(23, 129)(24, 132)(25, 136)(26, 137)(27, 141)(28, 135)(29, 105)(30, 107)(31, 138)(32, 142)(33, 114)(34, 120)(35, 143)(36, 109)(37, 121)(38, 112)(39, 125)(40, 111)(41, 117)(42, 126)(43, 122)(44, 144)(45, 128)(46, 123)(47, 140)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.728
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y3)^2, Y3^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3^2 * Y1^-2, Y2^3 * Y3^-1 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2^2 * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 19, 67, 20, 68, 5, 53)(3, 51, 13, 61, 33, 81, 40, 88, 25, 73, 9, 57)(4, 52, 17, 65, 12, 60, 7, 55, 22, 70, 10, 58)(6, 54, 21, 69, 42, 90, 37, 85, 26, 74, 11, 59)(14, 62, 27, 75, 44, 92, 24, 72, 32, 80, 34, 82)(15, 63, 28, 76, 36, 84, 16, 64, 29, 77, 35, 83)(18, 66, 30, 78, 43, 91, 23, 71, 31, 79, 41, 89)(38, 86, 47, 95, 46, 94, 39, 87, 48, 96, 45, 93)(97, 145, 99, 147, 110, 158, 133, 181, 115, 163, 136, 184, 120, 168, 102, 150)(98, 146, 105, 153, 123, 171, 138, 186, 116, 164, 129, 177, 128, 176, 107, 155)(100, 148, 114, 162, 135, 183, 111, 159, 103, 151, 119, 167, 134, 182, 112, 160)(101, 149, 109, 157, 130, 178, 122, 170, 104, 152, 121, 169, 140, 188, 117, 165)(106, 154, 126, 174, 142, 190, 124, 172, 108, 156, 127, 175, 141, 189, 125, 173)(113, 161, 137, 185, 144, 192, 131, 179, 118, 166, 139, 187, 143, 191, 132, 180)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 113)(6, 119)(7, 97)(8, 118)(9, 124)(10, 116)(11, 127)(12, 98)(13, 131)(14, 134)(15, 136)(16, 99)(17, 104)(18, 102)(19, 103)(20, 108)(21, 139)(22, 101)(23, 133)(24, 135)(25, 132)(26, 137)(27, 141)(28, 129)(29, 105)(30, 107)(31, 138)(32, 142)(33, 125)(34, 143)(35, 121)(36, 109)(37, 114)(38, 120)(39, 110)(40, 112)(41, 117)(42, 126)(43, 122)(44, 144)(45, 128)(46, 123)(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) :: { ( 4, 8, 4, 8, 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 E24.727
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, Y3^-2 * Y2^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 21, 69, 20, 68, 5, 53)(3, 51, 13, 61, 29, 77, 39, 87, 22, 70, 12, 60)(4, 52, 17, 65, 33, 81, 38, 86, 23, 71, 11, 59)(6, 54, 19, 67, 35, 83, 37, 85, 24, 72, 10, 58)(7, 55, 18, 66, 34, 82, 36, 84, 25, 73, 9, 57)(14, 62, 27, 75, 40, 88, 47, 95, 43, 91, 32, 80)(15, 63, 26, 74, 41, 89, 46, 94, 44, 92, 31, 79)(16, 64, 28, 76, 42, 90, 48, 96, 45, 93, 30, 78)(97, 145, 99, 147, 110, 158, 103, 151, 112, 160, 100, 148, 111, 159, 102, 150)(98, 146, 105, 153, 122, 170, 108, 156, 124, 172, 106, 154, 123, 171, 107, 155)(101, 149, 114, 162, 127, 175, 109, 157, 126, 174, 115, 163, 128, 176, 113, 161)(104, 152, 118, 166, 136, 184, 121, 169, 138, 186, 119, 167, 137, 185, 120, 168)(116, 164, 125, 173, 139, 187, 130, 178, 141, 189, 129, 177, 140, 188, 131, 179)(117, 165, 132, 180, 142, 190, 135, 183, 144, 192, 133, 181, 143, 191, 134, 182)
	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, 102)(15, 103)(16, 99)(17, 126)(18, 128)(19, 127)(20, 129)(21, 133)(22, 137)(23, 136)(24, 138)(25, 104)(26, 107)(27, 108)(28, 105)(29, 140)(30, 114)(31, 113)(32, 109)(33, 139)(34, 116)(35, 141)(36, 143)(37, 142)(38, 144)(39, 117)(40, 120)(41, 121)(42, 118)(43, 131)(44, 130)(45, 125)(46, 134)(47, 135)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 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 E24.729
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y2 * Y1)^2, Y3 * Y2^-2 * Y3 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y3^-2 * Y2^-1 * Y1 * Y2^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 26, 74)(12, 60, 29, 77)(13, 61, 30, 78)(15, 63, 32, 80)(16, 64, 25, 73)(17, 65, 20, 68)(18, 66, 34, 82)(21, 69, 35, 83)(22, 70, 36, 84)(24, 72, 38, 86)(27, 75, 40, 88)(31, 79, 39, 87)(33, 81, 37, 85)(41, 89, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147, 107, 155, 112, 160, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 121, 169, 122, 170, 105, 153)(100, 148, 111, 159, 109, 157, 102, 150, 114, 162, 108, 156)(104, 152, 120, 168, 118, 166, 106, 154, 123, 171, 117, 165)(110, 158, 125, 173, 130, 178, 115, 163, 126, 174, 128, 176)(119, 167, 131, 179, 136, 184, 124, 172, 132, 180, 134, 182)(127, 175, 139, 187, 138, 186, 129, 177, 140, 188, 137, 185)(133, 181, 143, 191, 142, 190, 135, 183, 144, 192, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 114)(12, 113)(13, 99)(14, 127)(15, 107)(16, 102)(17, 109)(18, 101)(19, 129)(20, 123)(21, 122)(22, 103)(23, 133)(24, 116)(25, 106)(26, 118)(27, 105)(28, 135)(29, 137)(30, 138)(31, 115)(32, 139)(33, 110)(34, 140)(35, 141)(36, 142)(37, 124)(38, 143)(39, 119)(40, 144)(41, 126)(42, 125)(43, 130)(44, 128)(45, 132)(46, 131)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.741
Graph:: simple bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, Y3^4 * Y1, Y3 * Y1 * Y2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 23, 71)(12, 60, 21, 69)(13, 61, 16, 64)(14, 62, 19, 67)(15, 63, 22, 70)(17, 65, 20, 68)(18, 66, 24, 72)(25, 73, 38, 86)(26, 74, 30, 78)(27, 75, 29, 77)(28, 76, 31, 79)(32, 80, 37, 85)(33, 81, 34, 82)(35, 83, 36, 84)(39, 87, 43, 91)(40, 88, 42, 90)(41, 89, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 114, 162, 101, 149)(98, 146, 103, 151, 119, 167, 134, 182, 120, 168, 105, 153)(100, 148, 110, 158, 128, 176, 138, 186, 122, 170, 112, 160)(102, 150, 116, 164, 132, 180, 139, 187, 123, 171, 117, 165)(104, 152, 115, 163, 133, 181, 136, 184, 126, 174, 109, 157)(106, 154, 113, 161, 131, 179, 135, 183, 125, 173, 108, 156)(111, 159, 127, 175, 137, 185, 144, 192, 141, 189, 130, 178)(118, 166, 124, 172, 140, 188, 143, 191, 142, 190, 129, 177)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 117)(8, 118)(9, 116)(10, 98)(11, 122)(12, 124)(13, 99)(14, 105)(15, 106)(16, 103)(17, 129)(18, 128)(19, 101)(20, 130)(21, 127)(22, 102)(23, 126)(24, 133)(25, 135)(26, 137)(27, 107)(28, 112)(29, 119)(30, 140)(31, 109)(32, 141)(33, 110)(34, 115)(35, 120)(36, 114)(37, 142)(38, 139)(39, 143)(40, 121)(41, 125)(42, 134)(43, 144)(44, 123)(45, 131)(46, 132)(47, 138)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.742
Graph:: simple bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (Y3^-1, Y2^-1), Y3^-3 * Y2^-1, Y1^4, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-3 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 23, 71, 11, 59)(4, 52, 17, 65, 24, 72, 12, 60)(6, 54, 20, 68, 25, 73, 9, 57)(7, 55, 21, 69, 26, 74, 10, 58)(14, 62, 32, 80, 22, 70, 27, 75)(15, 63, 30, 78, 41, 89, 34, 82)(16, 64, 31, 79, 42, 90, 33, 81)(18, 66, 28, 76, 43, 91, 38, 86)(19, 67, 29, 77, 44, 92, 37, 85)(35, 83, 46, 94, 40, 88, 47, 95)(36, 84, 45, 93, 39, 87, 48, 96)(97, 145, 99, 147, 110, 158, 121, 169, 104, 152, 119, 167, 118, 166, 102, 150)(98, 146, 105, 153, 123, 171, 109, 157, 101, 149, 116, 164, 128, 176, 107, 155)(100, 148, 111, 159, 131, 179, 140, 188, 120, 168, 137, 185, 136, 184, 115, 163)(103, 151, 112, 160, 132, 180, 139, 187, 122, 170, 138, 186, 135, 183, 114, 162)(106, 154, 124, 172, 141, 189, 129, 177, 117, 165, 134, 182, 144, 192, 127, 175)(108, 156, 125, 173, 142, 190, 130, 178, 113, 161, 133, 181, 143, 191, 126, 174)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 117)(6, 115)(7, 97)(8, 120)(9, 124)(10, 126)(11, 127)(12, 98)(13, 129)(14, 131)(15, 103)(16, 99)(17, 101)(18, 102)(19, 135)(20, 134)(21, 130)(22, 136)(23, 137)(24, 139)(25, 140)(26, 104)(27, 141)(28, 108)(29, 105)(30, 107)(31, 143)(32, 144)(33, 142)(34, 109)(35, 112)(36, 110)(37, 116)(38, 113)(39, 118)(40, 138)(41, 122)(42, 119)(43, 121)(44, 132)(45, 125)(46, 123)(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, 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 E24.739
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 8^12, 16^6 ]

E24.742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, R * Y2 * R * Y1^-1 * Y2 * Y1, Y2^-2 * Y1 * Y2^2 * Y1, 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, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 24, 72, 16, 64, 20, 68)(25, 73, 33, 81, 27, 75, 34, 82)(26, 74, 35, 83, 28, 76, 36, 84)(29, 77, 37, 85, 31, 79, 38, 86)(30, 78, 39, 87, 32, 80, 40, 88)(41, 89, 48, 96, 43, 91, 46, 94)(42, 90, 47, 95, 44, 92, 45, 93)(97, 145, 99, 147, 106, 154, 114, 162, 102, 150, 113, 161, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 109, 157, 100, 148, 108, 156, 120, 168, 104, 152)(105, 153, 121, 169, 110, 158, 124, 172, 107, 155, 123, 171, 111, 159, 122, 170)(115, 163, 125, 173, 118, 166, 128, 176, 117, 165, 127, 175, 119, 167, 126, 174)(129, 177, 137, 185, 131, 179, 140, 188, 130, 178, 139, 187, 132, 180, 138, 186)(133, 181, 141, 189, 135, 183, 144, 192, 134, 182, 143, 191, 136, 184, 142, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 120)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 116)(17, 107)(18, 111)(19, 108)(20, 106)(21, 103)(22, 109)(23, 104)(24, 112)(25, 129)(26, 131)(27, 130)(28, 132)(29, 133)(30, 135)(31, 134)(32, 136)(33, 123)(34, 121)(35, 124)(36, 122)(37, 127)(38, 125)(39, 128)(40, 126)(41, 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 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.740
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 8^12, 16^6 ]

E24.743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y2^4, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 18, 66)(8, 56, 13, 61)(10, 58, 12, 60)(11, 59, 20, 68)(15, 63, 29, 77)(16, 64, 24, 72)(17, 65, 33, 81)(19, 67, 22, 70)(21, 69, 26, 74)(23, 71, 25, 73)(27, 75, 38, 86)(28, 76, 36, 84)(30, 78, 31, 79)(32, 80, 43, 91)(34, 82, 35, 83)(37, 85, 41, 89)(39, 87, 42, 90)(40, 88, 45, 93)(44, 92, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 111, 159, 121, 169, 108, 156)(102, 150, 113, 161, 122, 170, 109, 157)(104, 152, 117, 165, 129, 177, 114, 162)(106, 154, 119, 167, 125, 173, 110, 158)(112, 160, 123, 171, 135, 183, 127, 175)(115, 163, 124, 172, 136, 184, 130, 178)(118, 166, 131, 179, 141, 189, 132, 180)(120, 168, 126, 174, 138, 186, 134, 182)(128, 176, 140, 188, 143, 191, 137, 185)(133, 181, 142, 190, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 114)(8, 118)(9, 117)(10, 98)(11, 121)(12, 123)(13, 99)(14, 103)(15, 127)(16, 128)(17, 101)(18, 131)(19, 102)(20, 129)(21, 132)(22, 133)(23, 105)(24, 106)(25, 135)(26, 107)(27, 137)(28, 109)(29, 116)(30, 110)(31, 140)(32, 115)(33, 141)(34, 113)(35, 139)(36, 142)(37, 120)(38, 119)(39, 143)(40, 122)(41, 124)(42, 125)(43, 126)(44, 130)(45, 144)(46, 134)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.753
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 18, 66)(8, 56, 17, 65)(10, 58, 15, 63)(11, 59, 20, 68)(12, 60, 27, 75)(13, 61, 29, 77)(16, 64, 24, 72)(19, 67, 23, 71)(21, 69, 26, 74)(22, 70, 25, 73)(28, 76, 31, 79)(30, 78, 35, 83)(32, 80, 37, 85)(33, 81, 44, 92)(34, 82, 36, 84)(38, 86, 45, 93)(39, 87, 41, 89)(40, 88, 43, 91)(42, 90, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 111, 159, 121, 169, 108, 156)(102, 150, 113, 161, 122, 170, 109, 157)(104, 152, 114, 162, 125, 173, 117, 165)(106, 154, 110, 158, 123, 171, 118, 166)(112, 160, 124, 172, 135, 183, 128, 176)(115, 163, 126, 174, 136, 184, 130, 178)(119, 167, 132, 180, 139, 187, 131, 179)(120, 168, 133, 181, 137, 185, 127, 175)(129, 177, 141, 189, 143, 191, 138, 186)(134, 182, 140, 188, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 119)(9, 114)(10, 98)(11, 121)(12, 124)(13, 99)(14, 105)(15, 128)(16, 129)(17, 101)(18, 131)(19, 102)(20, 125)(21, 132)(22, 103)(23, 134)(24, 106)(25, 135)(26, 107)(27, 116)(28, 138)(29, 139)(30, 109)(31, 110)(32, 141)(33, 115)(34, 113)(35, 140)(36, 142)(37, 118)(38, 120)(39, 143)(40, 122)(41, 123)(42, 126)(43, 144)(44, 127)(45, 130)(46, 133)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.752
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
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 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2)^2, (Y2^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^8 ]
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, 27, 75)(14, 62, 25, 73)(16, 64, 23, 71)(18, 66, 22, 70)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 46, 94)(34, 82, 45, 93)(35, 83, 44, 92)(36, 84, 43, 91)(41, 89, 48, 96)(42, 90, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 109, 157, 129, 177, 112, 160)(102, 150, 110, 158, 130, 178, 114, 162)(104, 152, 118, 166, 137, 185, 121, 169)(106, 154, 119, 167, 138, 186, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(111, 159, 131, 179, 142, 190, 128, 176)(115, 163, 132, 180, 141, 189, 126, 174)(116, 164, 133, 181, 122, 170, 135, 183)(120, 168, 139, 187, 144, 192, 136, 184)(124, 172, 140, 188, 143, 191, 134, 182)
	L = (1, 100)(2, 104)(3, 109)(4, 110)(5, 112)(6, 97)(7, 118)(8, 119)(9, 121)(10, 98)(11, 126)(12, 129)(13, 130)(14, 99)(15, 125)(16, 102)(17, 132)(18, 101)(19, 131)(20, 134)(21, 137)(22, 138)(23, 103)(24, 133)(25, 106)(26, 140)(27, 105)(28, 139)(29, 115)(30, 111)(31, 141)(32, 107)(33, 114)(34, 108)(35, 113)(36, 142)(37, 124)(38, 120)(39, 143)(40, 116)(41, 123)(42, 117)(43, 122)(44, 144)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.754
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.746 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y1^-1 * Y3)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y3 * Y1 * Y2 * Y3, R * Y1 * Y2^-1 * R * Y2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 8, 56)(4, 52, 14, 62, 21, 69, 9, 57)(6, 54, 17, 65, 22, 70, 10, 58)(12, 60, 23, 71, 36, 84, 27, 75)(13, 61, 16, 64, 25, 73, 28, 76)(15, 63, 24, 72, 33, 81, 18, 66)(19, 67, 26, 74, 37, 85, 34, 82)(29, 77, 41, 89, 46, 94, 38, 86)(30, 78, 31, 79, 42, 90, 39, 87)(32, 80, 35, 83, 45, 93, 40, 88)(43, 91, 44, 92, 47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 125, 173, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 134, 182, 122, 170, 106, 154)(100, 148, 111, 159, 128, 176, 140, 188, 126, 174, 112, 160)(101, 149, 107, 155, 123, 171, 137, 185, 130, 178, 113, 161)(103, 151, 116, 164, 132, 180, 142, 190, 133, 181, 118, 166)(105, 153, 120, 168, 136, 184, 143, 191, 135, 183, 121, 169)(109, 157, 110, 158, 114, 162, 131, 179, 139, 187, 127, 175)(117, 165, 129, 177, 141, 189, 144, 192, 138, 186, 124, 172)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 112)(9, 98)(10, 111)(11, 124)(12, 126)(13, 99)(14, 101)(15, 106)(16, 104)(17, 129)(18, 102)(19, 128)(20, 121)(21, 103)(22, 120)(23, 135)(24, 118)(25, 116)(26, 136)(27, 127)(28, 107)(29, 139)(30, 108)(31, 123)(32, 115)(33, 113)(34, 131)(35, 130)(36, 138)(37, 141)(38, 140)(39, 119)(40, 122)(41, 144)(42, 132)(43, 125)(44, 134)(45, 133)(46, 143)(47, 142)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.750
Graph:: simple bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, R * Y2 * Y1 * R * Y2^-1, Y1^-1 * Y2 * Y3 * Y2 * Y3, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 8, 56)(4, 52, 14, 62, 21, 69, 9, 57)(6, 54, 17, 65, 22, 70, 10, 58)(12, 60, 23, 71, 36, 84, 27, 75)(13, 61, 24, 72, 32, 80, 16, 64)(15, 63, 18, 66, 25, 73, 31, 79)(19, 67, 26, 74, 37, 85, 34, 82)(28, 76, 41, 89, 46, 94, 38, 86)(29, 77, 42, 90, 39, 87, 30, 78)(33, 81, 45, 93, 40, 88, 35, 83)(43, 91, 47, 95, 48, 96, 44, 92)(97, 145, 99, 147, 108, 156, 124, 172, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 134, 182, 122, 170, 106, 154)(100, 148, 111, 159, 129, 177, 140, 188, 125, 173, 112, 160)(101, 149, 107, 155, 123, 171, 137, 185, 130, 178, 113, 161)(103, 151, 116, 164, 132, 180, 142, 190, 133, 181, 118, 166)(105, 153, 114, 162, 131, 179, 139, 187, 126, 174, 109, 157)(110, 158, 127, 175, 141, 189, 144, 192, 138, 186, 128, 176)(117, 165, 121, 169, 136, 184, 143, 191, 135, 183, 120, 168)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 120)(9, 98)(10, 121)(11, 112)(12, 125)(13, 99)(14, 101)(15, 113)(16, 107)(17, 111)(18, 102)(19, 129)(20, 128)(21, 103)(22, 127)(23, 126)(24, 104)(25, 106)(26, 131)(27, 138)(28, 139)(29, 108)(30, 119)(31, 118)(32, 116)(33, 115)(34, 141)(35, 122)(36, 135)(37, 136)(38, 143)(39, 132)(40, 133)(41, 140)(42, 123)(43, 124)(44, 137)(45, 130)(46, 144)(47, 134)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.749
Graph:: simple bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.748 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, Y1^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (Y1^-1, Y2^-1), R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^-2 * Y2^-3, Y3^3 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y2 * Y1)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 22, 70, 15, 63)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 11, 59, 13, 61, 21, 69)(7, 55, 20, 68, 26, 74, 10, 58)(14, 62, 35, 83, 40, 88, 28, 76)(16, 64, 37, 85, 43, 91, 27, 75)(18, 66, 39, 87, 33, 81, 31, 79)(19, 67, 32, 80, 24, 72, 30, 78)(23, 71, 42, 90, 34, 82, 29, 77)(36, 84, 46, 94, 38, 86, 45, 93)(41, 89, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 117, 165, 101, 149, 111, 159, 107, 155)(100, 148, 114, 162, 136, 184, 121, 169, 129, 177, 110, 158)(103, 151, 119, 167, 139, 187, 122, 170, 130, 178, 112, 160)(106, 154, 125, 173, 133, 181, 116, 164, 138, 186, 123, 171)(108, 156, 127, 175, 131, 179, 113, 161, 135, 183, 124, 172)(115, 163, 132, 180, 140, 188, 120, 168, 134, 182, 137, 185)(126, 174, 141, 189, 144, 192, 128, 176, 142, 190, 143, 191)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 116)(6, 114)(7, 97)(8, 121)(9, 123)(10, 126)(11, 125)(12, 98)(13, 129)(14, 132)(15, 133)(16, 99)(17, 101)(18, 137)(19, 122)(20, 128)(21, 138)(22, 136)(23, 102)(24, 103)(25, 120)(26, 104)(27, 141)(28, 105)(29, 143)(30, 113)(31, 107)(32, 108)(33, 140)(34, 109)(35, 111)(36, 139)(37, 142)(38, 112)(39, 117)(40, 134)(41, 130)(42, 144)(43, 118)(44, 119)(45, 131)(46, 124)(47, 135)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.751
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1, (R * Y1)^2, (R * Y2 * Y3)^2, Y1^8, (Y2 * Y3)^4, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 24, 72, 12, 60, 5, 53)(3, 51, 9, 57, 4, 52, 11, 59, 22, 70, 28, 76, 15, 63, 10, 58)(7, 55, 16, 64, 8, 56, 18, 66, 13, 61, 25, 73, 27, 75, 17, 65)(19, 67, 33, 81, 20, 68, 35, 83, 21, 69, 36, 84, 23, 71, 34, 82)(29, 77, 37, 85, 30, 78, 39, 87, 31, 79, 40, 88, 32, 80, 38, 86)(41, 89, 46, 94, 42, 90, 47, 95, 43, 91, 48, 96, 44, 92, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 104, 152)(102, 150, 111, 159)(105, 153, 115, 163)(106, 154, 116, 164)(107, 155, 119, 167)(109, 157, 120, 168)(110, 158, 123, 171)(112, 160, 125, 173)(113, 161, 126, 174)(114, 162, 128, 176)(117, 165, 124, 172)(118, 166, 122, 170)(121, 169, 127, 175)(129, 177, 137, 185)(130, 178, 138, 186)(131, 179, 140, 188)(132, 180, 139, 187)(133, 181, 141, 189)(134, 182, 142, 190)(135, 183, 144, 192)(136, 184, 143, 191)
	L = (1, 100)(2, 104)(3, 102)(4, 97)(5, 109)(6, 99)(7, 110)(8, 98)(9, 116)(10, 117)(11, 115)(12, 118)(13, 101)(14, 103)(15, 122)(16, 126)(17, 127)(18, 125)(19, 107)(20, 105)(21, 106)(22, 108)(23, 124)(24, 123)(25, 128)(26, 111)(27, 120)(28, 119)(29, 114)(30, 112)(31, 113)(32, 121)(33, 138)(34, 139)(35, 137)(36, 140)(37, 142)(38, 143)(39, 141)(40, 144)(41, 131)(42, 129)(43, 130)(44, 132)(45, 135)(46, 133)(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, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.747
Graph:: bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^2 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^4, Y2 * Y1^4 * Y3 * Y1^-2, Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 10, 58, 5, 53)(3, 51, 9, 57, 19, 67, 28, 76, 15, 63, 12, 60, 4, 52, 11, 59)(7, 55, 16, 64, 13, 61, 25, 73, 27, 75, 18, 66, 8, 56, 17, 65)(20, 68, 33, 81, 23, 71, 36, 84, 24, 72, 35, 83, 21, 69, 34, 82)(29, 77, 37, 85, 31, 79, 40, 88, 32, 80, 39, 87, 30, 78, 38, 86)(41, 89, 47, 95, 43, 91, 48, 96, 44, 92, 46, 94, 42, 90, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 102, 150)(101, 149, 109, 157)(104, 152, 110, 158)(105, 153, 116, 164)(106, 154, 115, 163)(107, 155, 119, 167)(108, 156, 120, 168)(111, 159, 122, 170)(112, 160, 125, 173)(113, 161, 127, 175)(114, 162, 128, 176)(117, 165, 124, 172)(118, 166, 123, 171)(121, 169, 126, 174)(129, 177, 137, 185)(130, 178, 139, 187)(131, 179, 140, 188)(132, 180, 138, 186)(133, 181, 141, 189)(134, 182, 143, 191)(135, 183, 144, 192)(136, 184, 142, 190)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 103)(6, 111)(7, 101)(8, 98)(9, 117)(10, 99)(11, 116)(12, 119)(13, 118)(14, 123)(15, 102)(16, 126)(17, 125)(18, 127)(19, 122)(20, 107)(21, 105)(22, 109)(23, 108)(24, 124)(25, 128)(26, 115)(27, 110)(28, 120)(29, 113)(30, 112)(31, 114)(32, 121)(33, 138)(34, 137)(35, 139)(36, 140)(37, 142)(38, 141)(39, 143)(40, 144)(41, 130)(42, 129)(43, 131)(44, 132)(45, 134)(46, 133)(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, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.746
Graph:: bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3^2 * Y2)^2, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-2)^2, (Y2 * Y3^-1 * Y1^-1)^2, Y2 * R * Y2 * R * Y1^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 41, 89, 40, 88, 17, 65, 5, 53)(3, 51, 11, 59, 35, 83, 47, 95, 39, 87, 44, 92, 24, 72, 13, 61)(4, 52, 15, 63, 6, 54, 21, 69, 25, 73, 45, 93, 37, 85, 18, 66)(8, 56, 26, 74, 19, 67, 36, 84, 46, 94, 48, 96, 42, 90, 28, 76)(9, 57, 30, 78, 10, 58, 33, 81, 43, 91, 38, 86, 20, 68, 32, 80)(12, 60, 31, 79, 14, 62, 27, 75, 22, 70, 29, 77, 16, 64, 34, 82)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 118, 166)(103, 151, 120, 168)(105, 153, 127, 175)(106, 154, 130, 178)(107, 155, 128, 176)(108, 156, 133, 181)(109, 157, 126, 174)(110, 158, 121, 169)(111, 159, 122, 170)(113, 161, 131, 179)(114, 162, 132, 180)(116, 164, 123, 171)(117, 165, 124, 172)(119, 167, 138, 186)(125, 173, 139, 187)(129, 177, 140, 188)(134, 182, 143, 191)(135, 183, 137, 185)(136, 184, 142, 190)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 102)(8, 123)(9, 101)(10, 98)(11, 122)(12, 120)(13, 124)(14, 99)(15, 129)(16, 135)(17, 133)(18, 126)(19, 125)(20, 136)(21, 134)(22, 131)(23, 106)(24, 112)(25, 103)(26, 109)(27, 138)(28, 140)(29, 104)(30, 141)(31, 142)(32, 117)(33, 114)(34, 115)(35, 110)(36, 107)(37, 137)(38, 111)(39, 118)(40, 139)(41, 121)(42, 127)(43, 119)(44, 144)(45, 128)(46, 130)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.748
Graph:: simple bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3 * Y2, Y2^-2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^2, Y2^-2 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y1^6, Y3^-1 * Y1^-1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 17, 65, 5, 53)(3, 51, 13, 61, 31, 79, 41, 89, 23, 71, 11, 59)(4, 52, 14, 62, 7, 55, 21, 69, 25, 73, 18, 66)(6, 54, 19, 67, 32, 80, 40, 88, 24, 72, 9, 57)(10, 58, 26, 74, 12, 60, 30, 78, 20, 68, 29, 77)(15, 63, 33, 81, 16, 64, 37, 85, 42, 90, 36, 84)(27, 75, 43, 91, 28, 76, 47, 95, 39, 87, 46, 94)(34, 82, 44, 92, 35, 83, 45, 93, 38, 86, 48, 96)(97, 145, 99, 147, 110, 158, 129, 177, 140, 188, 124, 172, 106, 154, 102, 150)(98, 146, 105, 153, 122, 170, 139, 187, 131, 179, 111, 159, 103, 151, 107, 155)(100, 148, 109, 157, 101, 149, 115, 163, 125, 173, 143, 191, 130, 178, 112, 160)(104, 152, 119, 167, 117, 165, 132, 180, 141, 189, 123, 171, 108, 156, 120, 168)(113, 161, 127, 175, 114, 162, 133, 181, 144, 192, 135, 183, 116, 164, 128, 176)(118, 166, 136, 184, 126, 174, 142, 190, 134, 182, 138, 186, 121, 169, 137, 185)
	L = (1, 100)(2, 106)(3, 111)(4, 113)(5, 116)(6, 107)(7, 97)(8, 103)(9, 123)(10, 101)(11, 120)(12, 98)(13, 102)(14, 130)(15, 119)(16, 99)(17, 121)(18, 134)(19, 124)(20, 118)(21, 131)(22, 108)(23, 138)(24, 137)(25, 104)(26, 140)(27, 136)(28, 105)(29, 144)(30, 141)(31, 112)(32, 109)(33, 139)(34, 114)(35, 110)(36, 142)(37, 143)(38, 117)(39, 115)(40, 135)(41, 128)(42, 127)(43, 132)(44, 125)(45, 122)(46, 133)(47, 129)(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, 8, 4, 8, 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 E24.744
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-2, (Y3 * Y2^-1)^2, Y2^2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y3^-1, Y3^6, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1^-2 * Y2^-1, Y3^-1 * Y1^4 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 17, 65, 5, 53)(3, 51, 13, 61, 31, 79, 41, 89, 23, 71, 11, 59)(4, 52, 15, 63, 7, 55, 21, 69, 25, 73, 18, 66)(6, 54, 14, 62, 33, 81, 40, 88, 24, 72, 9, 57)(10, 58, 26, 74, 12, 60, 30, 78, 19, 67, 28, 76)(16, 64, 37, 85, 42, 90, 39, 87, 20, 68, 35, 83)(27, 75, 46, 94, 32, 80, 48, 96, 29, 77, 44, 92)(34, 82, 43, 91, 36, 84, 45, 93, 38, 86, 47, 95)(97, 145, 99, 147, 106, 154, 123, 171, 139, 187, 131, 179, 111, 159, 102, 150)(98, 146, 105, 153, 103, 151, 116, 164, 132, 180, 140, 188, 122, 170, 107, 155)(100, 148, 112, 160, 130, 178, 142, 190, 124, 172, 109, 157, 101, 149, 110, 158)(104, 152, 119, 167, 108, 156, 125, 173, 141, 189, 135, 183, 117, 165, 120, 168)(113, 161, 127, 175, 115, 163, 128, 176, 143, 191, 133, 181, 114, 162, 129, 177)(118, 166, 136, 184, 121, 169, 138, 186, 134, 182, 144, 192, 126, 174, 137, 185)
	L = (1, 100)(2, 106)(3, 105)(4, 113)(5, 115)(6, 116)(7, 97)(8, 103)(9, 119)(10, 101)(11, 125)(12, 98)(13, 123)(14, 99)(15, 130)(16, 102)(17, 121)(18, 134)(19, 118)(20, 120)(21, 132)(22, 108)(23, 136)(24, 138)(25, 104)(26, 139)(27, 107)(28, 143)(29, 137)(30, 141)(31, 110)(32, 109)(33, 112)(34, 114)(35, 140)(36, 111)(37, 142)(38, 117)(39, 144)(40, 127)(41, 128)(42, 129)(43, 124)(44, 135)(45, 122)(46, 131)(47, 126)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 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 E24.743
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y1 * Y2 * Y1^-1 * Y2^3 * Y1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 17, 65, 5, 53)(3, 51, 12, 60, 30, 78, 42, 90, 23, 71, 9, 57)(4, 52, 10, 58, 24, 72, 38, 86, 19, 67, 7, 55)(6, 54, 18, 66, 37, 85, 33, 81, 25, 73, 11, 59)(13, 61, 26, 74, 40, 88, 21, 69, 29, 77, 31, 79)(14, 62, 32, 80, 47, 95, 43, 91, 27, 75, 15, 63)(16, 64, 20, 68, 39, 87, 48, 96, 44, 92, 28, 76)(34, 82, 45, 93, 41, 89, 36, 84, 46, 94, 35, 83)(97, 145, 99, 147, 109, 157, 129, 177, 118, 166, 138, 186, 117, 165, 102, 150)(98, 146, 105, 153, 122, 170, 133, 181, 113, 161, 126, 174, 125, 173, 107, 155)(100, 148, 112, 160, 132, 180, 143, 191, 134, 182, 144, 192, 130, 178, 111, 159)(101, 149, 108, 156, 127, 175, 121, 169, 104, 152, 119, 167, 136, 184, 114, 162)(103, 151, 116, 164, 137, 185, 139, 187, 120, 168, 140, 188, 131, 179, 110, 158)(106, 154, 124, 172, 142, 190, 128, 176, 115, 163, 135, 183, 141, 189, 123, 171)
	L = (1, 100)(2, 106)(3, 110)(4, 98)(5, 103)(6, 116)(7, 97)(8, 120)(9, 111)(10, 104)(11, 112)(12, 128)(13, 130)(14, 108)(15, 99)(16, 102)(17, 115)(18, 135)(19, 101)(20, 114)(21, 132)(22, 134)(23, 123)(24, 118)(25, 124)(26, 141)(27, 105)(28, 107)(29, 142)(30, 143)(31, 131)(32, 126)(33, 140)(34, 122)(35, 109)(36, 125)(37, 144)(38, 113)(39, 133)(40, 137)(41, 117)(42, 139)(43, 119)(44, 121)(45, 136)(46, 127)(47, 138)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.745
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.755 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (Y2 * Y1)^2, (R * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^6, (Y3 * Y2^-1)^4, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 16, 64)(8, 56, 19, 67)(10, 58, 22, 70)(11, 59, 21, 69)(12, 60, 25, 73)(14, 62, 26, 74)(15, 63, 17, 65)(18, 66, 33, 81)(20, 68, 34, 82)(23, 71, 31, 79)(24, 72, 39, 87)(27, 75, 43, 91)(28, 76, 44, 92)(29, 77, 41, 89)(30, 78, 45, 93)(32, 80, 46, 94)(35, 83, 48, 96)(36, 84, 42, 90)(37, 85, 47, 95)(38, 86, 40, 88)(97, 145, 99, 147, 107, 155, 119, 167, 111, 159, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 117, 165, 105, 153)(100, 148, 102, 150, 108, 156, 120, 168, 125, 173, 110, 158)(104, 152, 106, 154, 114, 162, 128, 176, 133, 181, 116, 164)(109, 157, 122, 170, 137, 185, 135, 183, 121, 169, 112, 160)(115, 163, 130, 178, 143, 191, 142, 190, 129, 177, 118, 166)(123, 171, 124, 172, 138, 186, 144, 192, 136, 184, 126, 174)(131, 179, 132, 180, 140, 188, 139, 187, 141, 189, 134, 182)
	L = (1, 100)(2, 104)(3, 102)(4, 101)(5, 110)(6, 97)(7, 106)(8, 105)(9, 116)(10, 98)(11, 108)(12, 99)(13, 123)(14, 111)(15, 125)(16, 126)(17, 114)(18, 103)(19, 131)(20, 117)(21, 133)(22, 134)(23, 120)(24, 107)(25, 136)(26, 124)(27, 112)(28, 109)(29, 119)(30, 121)(31, 128)(32, 113)(33, 141)(34, 132)(35, 118)(36, 115)(37, 127)(38, 129)(39, 144)(40, 135)(41, 138)(42, 122)(43, 143)(44, 130)(45, 142)(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) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.757
Graph:: simple bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (C6 x D8) : C2 (small group id <96, 139>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y2 * Y1 * Y2^-1 * Y1, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 19, 67)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 20, 68)(12, 60, 29, 77)(13, 61, 30, 78)(15, 63, 31, 79)(16, 64, 25, 73)(17, 65, 26, 74)(18, 66, 34, 82)(21, 69, 35, 83)(22, 70, 36, 84)(24, 72, 37, 85)(27, 75, 40, 88)(32, 80, 39, 87)(33, 81, 38, 86)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 107, 155, 112, 160, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 121, 169, 122, 170, 105, 153)(100, 148, 111, 159, 109, 157, 102, 150, 114, 162, 108, 156)(104, 152, 120, 168, 118, 166, 106, 154, 123, 171, 117, 165)(110, 158, 127, 175, 126, 174, 115, 163, 130, 178, 125, 173)(119, 167, 133, 181, 132, 180, 124, 172, 136, 184, 131, 179)(128, 176, 137, 185, 140, 188, 129, 177, 138, 186, 139, 187)(134, 182, 141, 189, 144, 192, 135, 183, 142, 190, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 114)(12, 113)(13, 99)(14, 128)(15, 107)(16, 102)(17, 109)(18, 101)(19, 129)(20, 123)(21, 122)(22, 103)(23, 134)(24, 116)(25, 106)(26, 118)(27, 105)(28, 135)(29, 137)(30, 138)(31, 139)(32, 115)(33, 110)(34, 140)(35, 141)(36, 142)(37, 143)(38, 124)(39, 119)(40, 144)(41, 126)(42, 125)(43, 130)(44, 127)(45, 132)(46, 131)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.758
Graph:: simple bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, Y2^2 * Y3^-2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3^4 * Y1^-2, Y1^-1 * Y2^-4 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y2^-1 * R * Y3^-2 * R * Y2^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 11, 59)(4, 52, 17, 65, 26, 74, 12, 60)(6, 54, 20, 68, 27, 75, 9, 57)(7, 55, 21, 69, 28, 76, 10, 58)(14, 62, 34, 82, 22, 70, 29, 77)(15, 63, 35, 83, 23, 71, 30, 78)(16, 64, 31, 79, 43, 91, 37, 85)(18, 66, 36, 84, 24, 72, 32, 80)(19, 67, 33, 81, 44, 92, 41, 89)(38, 86, 46, 94, 40, 88, 48, 96)(39, 87, 45, 93, 42, 90, 47, 95)(97, 145, 99, 147, 110, 158, 123, 171, 104, 152, 121, 169, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 109, 157, 101, 149, 116, 164, 130, 178, 107, 155)(100, 148, 114, 162, 124, 172, 140, 188, 122, 170, 120, 168, 103, 151, 115, 163)(106, 154, 128, 176, 113, 161, 137, 185, 117, 165, 132, 180, 108, 156, 129, 177)(111, 159, 134, 182, 139, 187, 138, 186, 119, 167, 136, 184, 112, 160, 135, 183)(126, 174, 141, 189, 133, 181, 144, 192, 131, 179, 143, 191, 127, 175, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 117)(6, 112)(7, 97)(8, 122)(9, 126)(10, 125)(11, 127)(12, 98)(13, 133)(14, 124)(15, 123)(16, 99)(17, 101)(18, 136)(19, 138)(20, 131)(21, 130)(22, 103)(23, 102)(24, 134)(25, 119)(26, 118)(27, 139)(28, 104)(29, 113)(30, 109)(31, 105)(32, 143)(33, 144)(34, 108)(35, 107)(36, 141)(37, 116)(38, 115)(39, 120)(40, 140)(41, 142)(42, 114)(43, 121)(44, 135)(45, 129)(46, 132)(47, 137)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.755
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 8^12, 16^6 ]

E24.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (C6 x D8) : C2 (small group id <96, 139>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2 * Y3, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-2 * Y3^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2^-1 * R * Y3^-2 * R * Y2^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * R * Y2 * R * Y3^-1 * Y2, Y1^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y3^4 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 16, 64)(4, 52, 18, 66, 30, 78, 12, 60)(6, 54, 24, 72, 31, 79, 25, 73)(7, 55, 22, 70, 32, 80, 10, 58)(9, 57, 33, 81, 21, 69, 36, 84)(11, 59, 40, 88, 23, 71, 41, 89)(14, 62, 42, 90, 26, 74, 34, 82)(15, 63, 44, 92, 27, 75, 38, 86)(17, 65, 39, 87, 47, 95, 45, 93)(19, 67, 43, 91, 28, 76, 35, 83)(20, 68, 37, 85, 48, 96, 46, 94)(97, 145, 99, 147, 110, 158, 127, 175, 104, 152, 125, 173, 122, 170, 102, 150)(98, 146, 105, 153, 130, 178, 119, 167, 101, 149, 117, 165, 138, 186, 107, 155)(100, 148, 115, 163, 128, 176, 144, 192, 126, 174, 124, 172, 103, 151, 116, 164)(106, 154, 134, 182, 114, 162, 141, 189, 118, 166, 140, 188, 108, 156, 135, 183)(109, 157, 133, 181, 120, 168, 131, 179, 112, 160, 142, 190, 121, 169, 139, 187)(111, 159, 129, 177, 143, 191, 136, 184, 123, 171, 132, 180, 113, 161, 137, 185)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 118)(6, 113)(7, 97)(8, 126)(9, 131)(10, 130)(11, 133)(12, 98)(13, 141)(14, 128)(15, 127)(16, 135)(17, 99)(18, 101)(19, 132)(20, 136)(21, 139)(22, 138)(23, 142)(24, 140)(25, 134)(26, 103)(27, 102)(28, 129)(29, 123)(30, 122)(31, 143)(32, 104)(33, 116)(34, 114)(35, 119)(36, 144)(37, 105)(38, 109)(39, 121)(40, 115)(41, 124)(42, 108)(43, 107)(44, 112)(45, 120)(46, 117)(47, 125)(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, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.756
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 8^12, 16^6 ]

E24.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y3^-4 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * 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, 18, 66)(16, 64, 17, 65)(19, 67, 21, 69)(20, 68, 24, 72)(22, 70, 23, 71)(25, 73, 28, 76)(26, 74, 27, 75)(29, 77, 30, 78)(31, 79, 34, 82)(32, 80, 33, 81)(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, 99, 147, 98, 146, 101, 149)(100, 148, 107, 155, 103, 151, 109, 157)(102, 150, 112, 160, 104, 152, 113, 161)(105, 153, 115, 163, 110, 158, 117, 165)(106, 154, 118, 166, 111, 159, 119, 167)(108, 156, 122, 170, 114, 162, 123, 171)(116, 164, 128, 176, 120, 168, 129, 177)(121, 169, 133, 181, 124, 172, 134, 182)(125, 173, 135, 183, 126, 174, 136, 184)(127, 175, 137, 185, 130, 178, 138, 186)(131, 179, 139, 187, 132, 180, 140, 188)(141, 189, 144, 192, 142, 190, 143, 191)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 110)(6, 97)(7, 114)(8, 98)(9, 116)(10, 99)(11, 118)(12, 104)(13, 119)(14, 120)(15, 101)(16, 125)(17, 126)(18, 102)(19, 113)(20, 111)(21, 112)(22, 131)(23, 132)(24, 106)(25, 107)(26, 133)(27, 134)(28, 109)(29, 127)(30, 130)(31, 115)(32, 137)(33, 138)(34, 117)(35, 124)(36, 121)(37, 141)(38, 142)(39, 122)(40, 123)(41, 143)(42, 144)(43, 128)(44, 129)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.762
Graph:: bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, Y1^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 16, 64, 11, 59)(5, 53, 14, 62, 10, 58, 15, 63)(7, 55, 17, 65, 12, 60, 18, 66)(8, 56, 19, 67, 13, 61, 20, 68)(21, 69, 36, 84, 23, 71, 34, 82)(22, 70, 37, 85, 24, 72, 38, 86)(25, 73, 39, 87, 27, 75, 40, 88)(26, 74, 31, 79, 28, 76, 29, 77)(30, 78, 41, 89, 32, 80, 42, 90)(33, 81, 43, 91, 35, 83, 44, 92)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 102, 150, 112, 160, 101, 149)(98, 146, 103, 151, 109, 157, 100, 148, 108, 156, 104, 152)(105, 153, 117, 165, 120, 168, 107, 155, 119, 167, 118, 166)(110, 158, 121, 169, 124, 172, 111, 159, 123, 171, 122, 170)(113, 161, 125, 173, 128, 176, 114, 162, 127, 175, 126, 174)(115, 163, 129, 177, 132, 180, 116, 164, 131, 179, 130, 178)(133, 181, 141, 189, 136, 184, 134, 182, 142, 190, 135, 183)(137, 185, 143, 191, 140, 188, 138, 186, 144, 192, 139, 187)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 113)(8, 115)(9, 112)(10, 111)(11, 99)(12, 114)(13, 116)(14, 106)(15, 101)(16, 107)(17, 108)(18, 103)(19, 109)(20, 104)(21, 132)(22, 133)(23, 130)(24, 134)(25, 135)(26, 127)(27, 136)(28, 125)(29, 122)(30, 137)(31, 124)(32, 138)(33, 139)(34, 117)(35, 140)(36, 119)(37, 120)(38, 118)(39, 123)(40, 121)(41, 128)(42, 126)(43, 131)(44, 129)(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, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.761
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4 * Y2, (Y3^-1 * Y1)^3, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 11, 59, 3, 51, 8, 56, 15, 63, 5, 53)(4, 52, 12, 60, 25, 73, 18, 66, 6, 54, 17, 65, 28, 76, 13, 61)(9, 57, 21, 69, 35, 83, 24, 72, 10, 58, 23, 71, 36, 84, 22, 70)(14, 62, 29, 77, 40, 88, 27, 75, 16, 64, 30, 78, 39, 87, 26, 74)(19, 67, 31, 79, 41, 89, 34, 82, 20, 68, 33, 81, 42, 90, 32, 80)(37, 85, 45, 93, 48, 96, 44, 92, 38, 86, 46, 94, 47, 95, 43, 91)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 102, 150)(101, 149, 107, 155)(103, 151, 111, 159)(105, 153, 106, 154)(108, 156, 113, 161)(109, 157, 114, 162)(110, 158, 112, 160)(115, 163, 116, 164)(117, 165, 119, 167)(118, 166, 120, 168)(121, 169, 124, 172)(122, 170, 123, 171)(125, 173, 126, 174)(127, 175, 129, 177)(128, 176, 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, 100)(2, 105)(3, 102)(4, 99)(5, 110)(6, 97)(7, 115)(8, 106)(9, 104)(10, 98)(11, 112)(12, 122)(13, 119)(14, 107)(15, 116)(16, 101)(17, 123)(18, 117)(19, 111)(20, 103)(21, 109)(22, 129)(23, 114)(24, 127)(25, 133)(26, 113)(27, 108)(28, 134)(29, 130)(30, 128)(31, 118)(32, 125)(33, 120)(34, 126)(35, 139)(36, 140)(37, 124)(38, 121)(39, 142)(40, 141)(41, 143)(42, 144)(43, 132)(44, 131)(45, 135)(46, 136)(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, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.760
Graph:: bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3), Y3^2 * Y2^-2, (Y3^-1 * Y2)^2, Y3^-3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y1^-2 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3^2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 17, 65, 22, 70, 5, 53)(3, 51, 13, 61, 19, 67, 4, 52, 18, 66, 16, 64)(6, 54, 23, 71, 9, 57, 7, 55, 24, 72, 10, 58)(11, 59, 27, 75, 21, 69, 12, 60, 28, 76, 20, 68)(14, 62, 31, 79, 34, 82, 15, 63, 33, 81, 32, 80)(25, 73, 38, 86, 40, 88, 26, 74, 37, 85, 39, 87)(29, 77, 41, 89, 36, 84, 30, 78, 42, 90, 35, 83)(43, 91, 48, 96, 46, 94, 44, 92, 47, 95, 45, 93)(97, 145, 99, 147, 110, 158, 103, 151, 113, 161, 100, 148, 111, 159, 102, 150)(98, 146, 105, 153, 121, 169, 108, 156, 118, 166, 106, 154, 122, 170, 107, 155)(101, 149, 116, 164, 125, 173, 109, 157, 104, 152, 117, 165, 126, 174, 114, 162)(112, 160, 131, 179, 139, 187, 127, 175, 115, 163, 132, 180, 140, 188, 129, 177)(119, 167, 128, 176, 141, 189, 134, 182, 120, 168, 130, 178, 142, 190, 133, 181)(123, 171, 135, 183, 143, 191, 138, 186, 124, 172, 136, 184, 144, 192, 137, 185)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 117)(6, 113)(7, 97)(8, 116)(9, 122)(10, 121)(11, 118)(12, 98)(13, 101)(14, 102)(15, 103)(16, 132)(17, 99)(18, 104)(19, 131)(20, 126)(21, 125)(22, 105)(23, 130)(24, 128)(25, 107)(26, 108)(27, 136)(28, 135)(29, 114)(30, 109)(31, 112)(32, 142)(33, 115)(34, 141)(35, 140)(36, 139)(37, 120)(38, 119)(39, 144)(40, 143)(41, 124)(42, 123)(43, 129)(44, 127)(45, 133)(46, 134)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.759
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3 * Y1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^4 * Y1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3 * Y2 * Y3^2 * Y2^-1 * Y3^-1 * 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, 21, 69)(12, 60, 15, 63)(13, 61, 22, 70)(14, 62, 20, 68)(16, 64, 18, 66)(17, 65, 23, 71)(19, 67, 24, 72)(25, 73, 33, 81)(26, 74, 27, 75)(28, 76, 37, 85)(29, 77, 31, 79)(30, 78, 36, 84)(32, 80, 34, 82)(35, 83, 38, 86)(39, 87, 45, 93)(40, 88, 41, 89)(42, 90, 43, 91)(44, 92, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 98, 146, 103, 151, 101, 149)(100, 148, 109, 157, 108, 156, 104, 152, 118, 166, 111, 159)(102, 150, 114, 162, 120, 168, 106, 154, 112, 160, 115, 163)(107, 155, 121, 169, 119, 167, 117, 165, 129, 177, 113, 161)(110, 158, 126, 174, 125, 173, 116, 164, 132, 180, 127, 175)(122, 170, 124, 172, 136, 184, 123, 171, 133, 181, 137, 185)(128, 176, 141, 189, 131, 179, 130, 178, 135, 183, 134, 182)(138, 186, 140, 188, 144, 192, 139, 187, 142, 190, 143, 191)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 117)(8, 116)(9, 114)(10, 98)(11, 122)(12, 99)(13, 124)(14, 106)(15, 103)(16, 128)(17, 101)(18, 130)(19, 126)(20, 102)(21, 123)(22, 133)(23, 105)(24, 132)(25, 135)(26, 111)(27, 108)(28, 138)(29, 109)(30, 140)(31, 118)(32, 119)(33, 141)(34, 113)(35, 115)(36, 142)(37, 139)(38, 120)(39, 143)(40, 121)(41, 129)(42, 127)(43, 125)(44, 134)(45, 144)(46, 131)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.764
Graph:: bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, R * Y2^-1 * R * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-3, (R * Y2 * Y3^-1)^2, R * Y2 * Y1^-1 * Y2 * R * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 26, 74, 16, 64, 27, 75)(20, 68, 32, 80, 24, 72, 33, 81)(25, 73, 37, 85, 28, 76, 38, 86)(29, 77, 39, 87, 30, 78, 40, 88)(31, 79, 41, 89, 34, 82, 42, 90)(35, 83, 43, 91, 36, 84, 44, 92)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 114, 162, 102, 150, 113, 161, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 109, 157, 100, 148, 108, 156, 120, 168, 104, 152)(105, 153, 118, 166, 131, 179, 124, 172, 107, 155, 119, 167, 132, 180, 121, 169)(110, 158, 125, 173, 127, 175, 115, 163, 111, 159, 126, 174, 130, 178, 117, 165)(122, 170, 133, 181, 141, 189, 136, 184, 123, 171, 134, 182, 142, 190, 135, 183)(128, 176, 137, 185, 143, 191, 140, 188, 129, 177, 138, 186, 144, 192, 139, 187)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 122)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 123)(17, 107)(18, 111)(19, 108)(20, 128)(21, 103)(22, 109)(23, 104)(24, 129)(25, 133)(26, 112)(27, 106)(28, 134)(29, 135)(30, 136)(31, 137)(32, 120)(33, 116)(34, 138)(35, 139)(36, 140)(37, 124)(38, 121)(39, 126)(40, 125)(41, 130)(42, 127)(43, 132)(44, 131)(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 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.763
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 8^12, 16^6 ]

E24.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, (Y1 * Y2^-1 * Y3)^2, (Y2^-1 * Y3 * Y1)^2, Y2^2 * Y3 * Y2^2 * Y3^-1, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y3^-1 * Y2^2 * Y3, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1)^2, (Y2^-2 * Y1)^2, (Y2 * Y3)^3, (Y1 * Y2 * Y3)^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, 20, 68)(9, 57, 29, 77)(10, 58, 16, 64)(12, 60, 25, 73)(13, 61, 32, 80)(14, 62, 40, 88)(17, 65, 44, 92)(19, 67, 31, 79)(22, 70, 30, 78)(23, 71, 26, 74)(27, 75, 36, 84)(28, 76, 37, 85)(33, 81, 46, 94)(34, 82, 45, 93)(35, 83, 38, 86)(39, 87, 43, 91)(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, 112, 160, 132, 180, 113, 161)(102, 150, 118, 166, 133, 181, 119, 167)(104, 152, 117, 165, 136, 184, 124, 172)(106, 154, 127, 175, 140, 188, 128, 176)(107, 155, 129, 177, 114, 162, 130, 178)(109, 157, 134, 182, 115, 163, 135, 183)(110, 158, 137, 185, 116, 164, 138, 186)(111, 159, 139, 187, 123, 171, 131, 179)(120, 168, 141, 189, 125, 173, 142, 190)(122, 170, 143, 191, 126, 174, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 115)(6, 97)(7, 122)(8, 106)(9, 126)(10, 98)(11, 117)(12, 132)(13, 110)(14, 99)(15, 105)(16, 137)(17, 138)(18, 124)(19, 116)(20, 101)(21, 131)(22, 141)(23, 142)(24, 112)(25, 136)(26, 123)(27, 103)(28, 139)(29, 113)(30, 111)(31, 129)(32, 130)(33, 144)(34, 143)(35, 107)(36, 133)(37, 108)(38, 119)(39, 118)(40, 140)(41, 120)(42, 125)(43, 114)(44, 121)(45, 135)(46, 134)(47, 128)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.771
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^2 * Y2^-2 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, (Y1 * Y2^-1 * Y3)^2, (Y2^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y1 * Y3^2 * Y1 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, (Y2 * Y1 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
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, 14, 62)(9, 57, 31, 79)(10, 58, 18, 66)(12, 60, 27, 75)(13, 61, 35, 83)(16, 64, 30, 78)(17, 65, 29, 77)(20, 68, 34, 82)(21, 69, 36, 84)(23, 71, 32, 80)(24, 72, 28, 76)(25, 73, 33, 81)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 41, 89)(40, 88, 44, 92)(42, 90, 47, 95)(43, 91, 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, 125, 173, 132, 180, 118, 166)(106, 154, 130, 178, 126, 174, 131, 179)(107, 155, 133, 181, 115, 163, 134, 182)(109, 157, 136, 184, 116, 164, 137, 185)(110, 158, 138, 186, 117, 165, 139, 187)(111, 159, 140, 188, 129, 177, 135, 183)(122, 170, 142, 190, 127, 175, 141, 189)(124, 172, 143, 191, 128, 176, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 113)(5, 116)(6, 97)(7, 124)(8, 126)(9, 128)(10, 98)(11, 125)(12, 121)(13, 117)(14, 99)(15, 103)(16, 138)(17, 108)(18, 139)(19, 118)(20, 110)(21, 101)(22, 135)(23, 141)(24, 142)(25, 102)(26, 112)(27, 132)(28, 129)(29, 140)(30, 123)(31, 114)(32, 111)(33, 105)(34, 134)(35, 133)(36, 106)(37, 144)(38, 143)(39, 107)(40, 120)(41, 119)(42, 127)(43, 122)(44, 115)(45, 136)(46, 137)(47, 131)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.772
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^-2 * Y2^3, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y3^-4 * Y1^-1, Y1^-1 * R * Y2^-1 * R * Y2^-2, Y3^-2 * Y1 * Y3^2 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 28, 76, 16, 64)(4, 52, 18, 66, 31, 79, 12, 60)(6, 54, 25, 73, 14, 62, 27, 75)(7, 55, 23, 71, 32, 80, 10, 58)(9, 57, 33, 81, 22, 70, 35, 83)(11, 59, 38, 86, 24, 72, 40, 88)(15, 63, 44, 92, 48, 96, 34, 82)(17, 65, 36, 84, 47, 95, 21, 69)(19, 67, 45, 93, 39, 87, 29, 77)(20, 68, 42, 90, 30, 78, 37, 85)(26, 74, 46, 94, 43, 91, 41, 89)(97, 145, 99, 147, 110, 158, 104, 152, 124, 172, 102, 150)(98, 146, 105, 153, 120, 168, 101, 149, 118, 166, 107, 155)(100, 148, 115, 163, 132, 180, 127, 175, 135, 183, 117, 165)(103, 151, 125, 173, 144, 192, 128, 176, 141, 189, 111, 159)(106, 154, 122, 170, 143, 191, 119, 167, 139, 187, 113, 161)(108, 156, 137, 185, 140, 188, 114, 162, 142, 190, 130, 178)(109, 157, 136, 184, 126, 174, 112, 160, 134, 182, 116, 164)(121, 169, 138, 186, 131, 179, 123, 171, 133, 181, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 116)(5, 119)(6, 122)(7, 97)(8, 127)(9, 130)(10, 133)(11, 135)(12, 98)(13, 117)(14, 139)(15, 131)(16, 132)(17, 99)(18, 101)(19, 102)(20, 128)(21, 118)(22, 140)(23, 138)(24, 115)(25, 125)(26, 107)(27, 141)(28, 144)(29, 136)(30, 103)(31, 126)(32, 104)(33, 113)(34, 109)(35, 143)(36, 105)(37, 114)(38, 137)(39, 110)(40, 142)(41, 121)(42, 108)(43, 120)(44, 112)(45, 134)(46, 123)(47, 124)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E24.770
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2^2, Y1^-1 * R * Y2^-1 * R * Y2, Y1 * Y2^-1 * Y3^2 * Y2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y2 * Y1 * Y3, (Y2^-1 * Y1 * Y3^-1)^2, Y1^-1 * Y3^-4 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 28, 76, 16, 64)(4, 52, 18, 66, 31, 79, 12, 60)(6, 54, 25, 73, 14, 62, 27, 75)(7, 55, 23, 71, 32, 80, 10, 58)(9, 57, 33, 81, 22, 70, 35, 83)(11, 59, 39, 87, 24, 72, 40, 88)(15, 63, 45, 93, 48, 96, 34, 82)(17, 65, 21, 69, 38, 86, 43, 91)(19, 67, 29, 77, 44, 92, 46, 94)(20, 68, 42, 90, 30, 78, 37, 85)(26, 74, 47, 95, 36, 84, 41, 89)(97, 145, 99, 147, 110, 158, 104, 152, 124, 172, 102, 150)(98, 146, 105, 153, 120, 168, 101, 149, 118, 166, 107, 155)(100, 148, 115, 163, 139, 187, 127, 175, 140, 188, 117, 165)(103, 151, 125, 173, 144, 192, 128, 176, 142, 190, 111, 159)(106, 154, 132, 180, 113, 161, 119, 167, 122, 170, 134, 182)(108, 156, 137, 185, 141, 189, 114, 162, 143, 191, 130, 178)(109, 157, 135, 183, 116, 164, 112, 160, 136, 184, 126, 174)(121, 169, 138, 186, 129, 177, 123, 171, 133, 181, 131, 179)
	L = (1, 100)(2, 106)(3, 111)(4, 116)(5, 119)(6, 122)(7, 97)(8, 127)(9, 130)(10, 133)(11, 115)(12, 98)(13, 139)(14, 132)(15, 131)(16, 117)(17, 99)(18, 101)(19, 102)(20, 128)(21, 105)(22, 141)(23, 138)(24, 140)(25, 142)(26, 120)(27, 125)(28, 144)(29, 136)(30, 103)(31, 126)(32, 104)(33, 113)(34, 109)(35, 134)(36, 107)(37, 114)(38, 124)(39, 143)(40, 137)(41, 121)(42, 108)(43, 118)(44, 110)(45, 112)(46, 135)(47, 123)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E24.769
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 8^12, 12^8 ]

E24.769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^3, Y3 * Y2 * Y3^-3 * Y2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 41, 89, 38, 86, 14, 62, 5, 53)(3, 51, 11, 59, 35, 83, 44, 92, 24, 72, 21, 69, 6, 54, 13, 61)(4, 52, 15, 63, 39, 87, 47, 95, 37, 85, 45, 93, 25, 73, 17, 65)(8, 56, 26, 74, 46, 94, 48, 96, 42, 90, 33, 81, 10, 58, 28, 76)(9, 57, 29, 77, 19, 67, 36, 84, 18, 66, 40, 88, 43, 91, 31, 79)(12, 60, 30, 78, 22, 70, 27, 75, 20, 68, 34, 82, 16, 64, 32, 80)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 103, 151)(101, 149, 114, 162)(102, 150, 116, 164)(105, 153, 119, 167)(106, 154, 128, 176)(107, 155, 132, 180)(108, 156, 131, 179)(109, 157, 122, 170)(110, 158, 133, 181)(111, 159, 124, 172)(112, 160, 135, 183)(113, 161, 125, 173)(115, 163, 126, 174)(117, 165, 127, 175)(118, 166, 121, 169)(120, 168, 137, 185)(123, 171, 142, 190)(129, 177, 140, 188)(130, 178, 139, 187)(134, 182, 138, 186)(136, 184, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 104)(6, 97)(7, 120)(8, 123)(9, 126)(10, 98)(11, 129)(12, 121)(13, 132)(14, 99)(15, 136)(16, 131)(17, 124)(18, 130)(19, 101)(20, 135)(21, 122)(22, 102)(23, 138)(24, 116)(25, 103)(26, 141)(27, 139)(28, 109)(29, 107)(30, 142)(31, 113)(32, 115)(33, 111)(34, 106)(35, 137)(36, 143)(37, 118)(38, 114)(39, 110)(40, 117)(41, 133)(42, 128)(43, 119)(44, 127)(45, 125)(46, 134)(47, 144)(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, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.768
Graph:: bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-1)^3, Y3^-1 * Y1^2 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y3^-3 * Y2 * Y1^-1, Y3^2 * Y1^-2 * Y3^-1 * Y2, (Y3^2 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2, Y1^8, (Y2 * Y1^-2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 42, 90, 41, 89, 15, 63, 5, 53)(3, 51, 11, 59, 6, 54, 20, 68, 40, 88, 47, 95, 38, 86, 13, 61)(4, 52, 14, 62, 39, 87, 46, 94, 24, 72, 45, 93, 25, 73, 17, 65)(8, 56, 26, 74, 10, 58, 32, 80, 18, 66, 36, 84, 48, 96, 28, 76)(9, 57, 29, 77, 19, 67, 35, 83, 43, 91, 37, 85, 44, 92, 31, 79)(12, 60, 34, 82, 16, 64, 27, 75, 21, 69, 30, 78, 22, 70, 33, 81)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 105, 153)(102, 150, 117, 165)(103, 151, 120, 168)(106, 154, 129, 177)(107, 155, 131, 179)(108, 156, 134, 182)(109, 157, 132, 180)(110, 158, 124, 172)(112, 160, 121, 169)(113, 161, 133, 181)(114, 162, 137, 185)(115, 163, 130, 178)(116, 164, 122, 170)(118, 166, 135, 183)(119, 167, 139, 187)(123, 171, 144, 192)(125, 173, 142, 190)(126, 174, 140, 188)(127, 175, 143, 191)(128, 176, 141, 189)(136, 184, 138, 186)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 99)(8, 123)(9, 126)(10, 98)(11, 132)(12, 135)(13, 127)(14, 133)(15, 136)(16, 134)(17, 128)(18, 129)(19, 101)(20, 131)(21, 121)(22, 102)(23, 104)(24, 118)(25, 103)(26, 110)(27, 115)(28, 109)(29, 143)(30, 144)(31, 113)(32, 116)(33, 140)(34, 106)(35, 142)(36, 141)(37, 107)(38, 138)(39, 111)(40, 117)(41, 139)(42, 120)(43, 130)(44, 119)(45, 125)(46, 124)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.767
Graph:: bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2 * Y1^-1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1, Y1 * Y3 * Y1^-2 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y1^6, (Y3 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 28, 76, 22, 70, 5, 53)(3, 51, 13, 61, 37, 85, 32, 80, 35, 83, 11, 59)(4, 52, 17, 65, 42, 90, 45, 93, 23, 71, 19, 67)(6, 54, 20, 68, 27, 75, 39, 87, 16, 64, 25, 73)(7, 55, 26, 74, 10, 58, 33, 81, 38, 86, 14, 62)(9, 57, 31, 79, 18, 66, 15, 63, 41, 89, 30, 78)(12, 60, 36, 84, 29, 77, 40, 88, 46, 94, 21, 69)(24, 72, 44, 92, 48, 96, 47, 95, 43, 91, 34, 82)(97, 145, 99, 147, 110, 158, 135, 183, 124, 172, 128, 176, 106, 154, 102, 150)(98, 146, 105, 153, 117, 165, 133, 181, 118, 166, 111, 159, 125, 173, 107, 155)(100, 148, 114, 162, 101, 149, 116, 164, 141, 189, 126, 174, 104, 152, 112, 160)(103, 151, 120, 168, 115, 163, 121, 169, 129, 177, 143, 191, 138, 186, 123, 171)(108, 156, 130, 178, 122, 170, 131, 179, 136, 184, 144, 192, 134, 182, 109, 157)(113, 161, 139, 187, 132, 180, 137, 185, 119, 167, 140, 188, 142, 190, 127, 175)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 117)(6, 120)(7, 97)(8, 125)(9, 116)(10, 108)(11, 130)(12, 98)(13, 102)(14, 136)(15, 112)(16, 99)(17, 104)(18, 140)(19, 132)(20, 128)(21, 119)(22, 110)(23, 101)(24, 109)(25, 126)(26, 138)(27, 114)(28, 141)(29, 113)(30, 139)(31, 107)(32, 105)(33, 124)(34, 127)(35, 135)(36, 134)(37, 144)(38, 115)(39, 143)(40, 118)(41, 133)(42, 142)(43, 121)(44, 123)(45, 129)(46, 122)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.765
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2^-1 * Y1^-1, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^2, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3, Y1^6, (Y3^-1 * Y2^-1 * Y3^-1)^2, (Y3^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 29, 77, 20, 68, 5, 53)(3, 51, 13, 61, 38, 86, 47, 95, 26, 74, 11, 59)(4, 52, 15, 63, 41, 89, 28, 76, 22, 70, 18, 66)(6, 54, 14, 62, 39, 87, 33, 81, 30, 78, 24, 72)(7, 55, 27, 75, 10, 58, 17, 65, 43, 91, 25, 73)(9, 57, 32, 80, 21, 69, 40, 88, 36, 84, 16, 64)(12, 60, 37, 85, 31, 79, 34, 82, 45, 93, 19, 67)(23, 71, 46, 94, 48, 96, 44, 92, 42, 90, 35, 83)(97, 145, 99, 147, 106, 154, 129, 177, 125, 173, 143, 191, 121, 169, 102, 150)(98, 146, 105, 153, 127, 175, 134, 182, 116, 164, 136, 184, 115, 163, 107, 155)(100, 148, 112, 160, 104, 152, 126, 174, 124, 172, 117, 165, 101, 149, 110, 158)(103, 151, 119, 167, 114, 162, 135, 183, 113, 161, 140, 188, 137, 185, 120, 168)(108, 156, 131, 179, 123, 171, 109, 157, 130, 178, 144, 192, 139, 187, 122, 170)(111, 159, 138, 186, 133, 181, 128, 176, 118, 166, 142, 190, 141, 189, 132, 180)
	L = (1, 100)(2, 106)(3, 105)(4, 113)(5, 115)(6, 119)(7, 97)(8, 127)(9, 126)(10, 130)(11, 131)(12, 98)(13, 129)(14, 99)(15, 104)(16, 138)(17, 125)(18, 141)(19, 111)(20, 121)(21, 142)(22, 101)(23, 109)(24, 117)(25, 108)(26, 102)(27, 114)(28, 103)(29, 124)(30, 143)(31, 118)(32, 134)(33, 140)(34, 116)(35, 128)(36, 107)(37, 123)(38, 144)(39, 112)(40, 110)(41, 133)(42, 120)(43, 137)(44, 122)(45, 139)(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, 8, 4, 8, 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 E24.766
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 12^8, 16^6 ]

E24.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y3 * Y1, Y2^2 * Y3 * Y2^-1 * Y3, Y2^-1 * R * Y2^-2 * Y3 * R, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y2^6 ]
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, 28, 76)(12, 60, 30, 78)(13, 61, 26, 74)(16, 64, 25, 73)(17, 65, 41, 89)(18, 66, 23, 71)(21, 69, 35, 83)(22, 70, 24, 72)(27, 75, 33, 81)(29, 77, 37, 85)(31, 79, 43, 91)(32, 80, 48, 96)(34, 82, 46, 94)(36, 84, 40, 88)(38, 86, 47, 95)(39, 87, 45, 93)(42, 90, 44, 92)(97, 145, 99, 147, 107, 155, 127, 175, 114, 162, 101, 149)(98, 146, 103, 151, 119, 167, 139, 187, 124, 172, 105, 153)(100, 148, 111, 159, 109, 157, 130, 178, 135, 183, 112, 160)(102, 150, 117, 165, 134, 182, 138, 186, 113, 161, 118, 166)(104, 152, 110, 158, 121, 169, 141, 189, 142, 190, 122, 170)(106, 154, 125, 173, 132, 180, 144, 192, 123, 171, 126, 174)(108, 156, 129, 177, 128, 176, 136, 184, 133, 181, 115, 163)(116, 164, 120, 168, 137, 185, 140, 188, 143, 191, 131, 179)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 113)(6, 97)(7, 120)(8, 106)(9, 123)(10, 98)(11, 117)(12, 109)(13, 99)(14, 131)(15, 133)(16, 114)(17, 115)(18, 136)(19, 101)(20, 105)(21, 128)(22, 135)(23, 125)(24, 121)(25, 103)(26, 124)(27, 116)(28, 143)(29, 140)(30, 142)(31, 130)(32, 107)(33, 118)(34, 138)(35, 132)(36, 110)(37, 134)(38, 111)(39, 129)(40, 112)(41, 126)(42, 127)(43, 141)(44, 119)(45, 144)(46, 137)(47, 122)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.775
Graph:: simple bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * Y3 * R * Y2^-1, Y1 * Y3 * Y2 * Y1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3^-2, Y2^2 * Y3 * Y2^-1 * Y3, (Y3^-1 * Y1 * Y2)^2, (Y3 * Y1 * Y2)^2, Y3 * Y2^-3 * Y3^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 21, 69)(8, 56, 15, 63)(10, 58, 20, 68)(11, 59, 31, 79)(12, 60, 33, 81)(13, 61, 29, 77)(16, 64, 40, 88)(17, 65, 27, 75)(18, 66, 39, 87)(19, 67, 25, 73)(22, 70, 44, 92)(23, 71, 26, 74)(24, 72, 45, 93)(28, 76, 36, 84)(30, 78, 37, 85)(32, 80, 43, 91)(34, 82, 42, 90)(35, 83, 46, 94)(38, 86, 48, 96)(41, 89, 47, 95)(97, 145, 99, 147, 107, 155, 131, 179, 115, 163, 101, 149)(98, 146, 103, 151, 121, 169, 142, 190, 127, 175, 105, 153)(100, 148, 111, 159, 109, 157, 120, 168, 138, 186, 113, 161)(102, 150, 118, 166, 137, 185, 112, 160, 114, 162, 119, 167)(104, 152, 110, 158, 123, 171, 130, 178, 141, 189, 125, 173)(106, 154, 128, 176, 144, 192, 124, 172, 126, 174, 129, 177)(108, 156, 133, 181, 132, 180, 134, 182, 139, 187, 116, 164)(117, 165, 122, 170, 135, 183, 136, 184, 143, 191, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 114)(6, 97)(7, 122)(8, 124)(9, 126)(10, 98)(11, 118)(12, 113)(13, 99)(14, 135)(15, 133)(16, 131)(17, 115)(18, 132)(19, 134)(20, 101)(21, 105)(22, 116)(23, 111)(24, 102)(25, 128)(26, 125)(27, 103)(28, 142)(29, 127)(30, 136)(31, 143)(32, 117)(33, 110)(34, 106)(35, 120)(36, 107)(37, 137)(38, 109)(39, 144)(40, 121)(41, 138)(42, 139)(43, 119)(44, 129)(45, 140)(46, 130)(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) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.776
Graph:: simple bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y2 * Y3)^2, Y1^-1 * Y2^-2 * Y1^-1 * Y2^2, Y2^2 * R * Y2^2 * R * Y1, Y3 * Y2^-2 * Y1 * Y3 * Y2^-2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 10, 58)(4, 52, 14, 62, 21, 69, 9, 57)(6, 54, 17, 65, 22, 70, 8, 56)(12, 60, 28, 76, 19, 67, 23, 71)(13, 61, 27, 75, 43, 91, 29, 77)(15, 63, 26, 74, 44, 92, 34, 82)(16, 64, 25, 73, 45, 93, 33, 81)(18, 66, 24, 72, 46, 94, 39, 87)(30, 78, 35, 83, 42, 90, 38, 86)(31, 79, 47, 95, 37, 85, 40, 88)(32, 80, 41, 89, 48, 96, 36, 84)(97, 145, 99, 147, 108, 156, 118, 166, 103, 151, 116, 164, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 107, 155, 101, 149, 113, 161, 124, 172, 106, 154)(100, 148, 111, 159, 131, 179, 141, 189, 117, 165, 140, 188, 134, 182, 112, 160)(105, 153, 121, 169, 138, 186, 130, 178, 110, 158, 129, 177, 126, 174, 122, 170)(109, 157, 127, 175, 135, 183, 144, 192, 139, 187, 133, 181, 120, 168, 128, 176)(114, 162, 136, 184, 123, 171, 132, 180, 142, 190, 143, 191, 125, 173, 137, 185)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 120)(9, 98)(10, 123)(11, 125)(12, 126)(13, 99)(14, 101)(15, 132)(16, 133)(17, 135)(18, 102)(19, 138)(20, 139)(21, 103)(22, 142)(23, 131)(24, 104)(25, 143)(26, 144)(27, 106)(28, 134)(29, 107)(30, 108)(31, 141)(32, 130)(33, 136)(34, 128)(35, 119)(36, 111)(37, 112)(38, 124)(39, 113)(40, 129)(41, 140)(42, 115)(43, 116)(44, 137)(45, 127)(46, 118)(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) :: { ( 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 E24.773
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 8^12, 16^6 ]

E24.776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (Y2 * Y1^-1)^2, (Y1 * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, Y2 * Y1^-2 * Y2^3, Y2^-1 * Y1 * R * Y2^-2 * R * Y2^-1, Y3 * Y1 * Y2^-2 * Y3 * Y2^-2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 10, 58)(4, 52, 14, 62, 21, 69, 9, 57)(6, 54, 17, 65, 22, 70, 8, 56)(12, 60, 28, 76, 19, 67, 23, 71)(13, 61, 27, 75, 43, 91, 29, 77)(15, 63, 26, 74, 44, 92, 34, 82)(16, 64, 25, 73, 45, 93, 33, 81)(18, 66, 24, 72, 46, 94, 39, 87)(30, 78, 38, 86, 42, 90, 35, 83)(31, 79, 40, 88, 37, 85, 48, 96)(32, 80, 36, 84, 47, 95, 41, 89)(97, 145, 99, 147, 108, 156, 118, 166, 103, 151, 116, 164, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 107, 155, 101, 149, 113, 161, 124, 172, 106, 154)(100, 148, 111, 159, 131, 179, 141, 189, 117, 165, 140, 188, 134, 182, 112, 160)(105, 153, 121, 169, 126, 174, 130, 178, 110, 158, 129, 177, 138, 186, 122, 170)(109, 157, 127, 175, 120, 168, 143, 191, 139, 187, 133, 181, 135, 183, 128, 176)(114, 162, 136, 184, 125, 173, 132, 180, 142, 190, 144, 192, 123, 171, 137, 185)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 120)(9, 98)(10, 123)(11, 125)(12, 126)(13, 99)(14, 101)(15, 132)(16, 133)(17, 135)(18, 102)(19, 138)(20, 139)(21, 103)(22, 142)(23, 134)(24, 104)(25, 136)(26, 128)(27, 106)(28, 131)(29, 107)(30, 108)(31, 141)(32, 122)(33, 144)(34, 143)(35, 124)(36, 111)(37, 112)(38, 119)(39, 113)(40, 121)(41, 140)(42, 115)(43, 116)(44, 137)(45, 127)(46, 118)(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) :: { ( 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 E24.774
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 8^12, 16^6 ]

E24.777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3, R * Y2 * R * Y2^-1, Y2 * Y3^-2 * Y2^-1 * Y3^2, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y2^-1 * Y3^3 * Y1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-2 * Y1 * Y3 * Y2^-1 * Y1, Y3^8, (Y3 * Y1)^12 ]
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, 21, 69)(10, 58, 25, 73)(11, 59, 27, 75)(12, 60, 29, 77)(14, 62, 32, 80)(15, 63, 26, 74)(16, 64, 36, 84)(18, 66, 23, 71)(19, 67, 40, 88)(20, 68, 42, 90)(22, 70, 35, 83)(24, 72, 39, 87)(28, 76, 38, 86)(30, 78, 33, 81)(31, 79, 46, 94)(34, 82, 43, 91)(37, 85, 41, 89)(44, 92, 45, 93)(47, 95, 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, 118, 166, 115, 163)(106, 154, 120, 168, 116, 164)(109, 157, 123, 171, 128, 176)(111, 159, 124, 172, 130, 178)(113, 161, 125, 173, 132, 180)(114, 162, 126, 174, 133, 181)(117, 165, 136, 184, 131, 179)(119, 167, 137, 185, 129, 177)(121, 169, 138, 186, 135, 183)(122, 170, 139, 187, 134, 182)(127, 175, 143, 191, 141, 189)(140, 188, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 107)(4, 111)(5, 110)(6, 97)(7, 115)(8, 119)(9, 118)(10, 98)(11, 124)(12, 99)(13, 127)(14, 130)(15, 131)(16, 101)(17, 134)(18, 102)(19, 137)(20, 103)(21, 140)(22, 129)(23, 128)(24, 105)(25, 133)(26, 106)(27, 141)(28, 136)(29, 139)(30, 108)(31, 113)(32, 143)(33, 109)(34, 117)(35, 144)(36, 122)(37, 112)(38, 120)(39, 114)(40, 142)(41, 123)(42, 126)(43, 116)(44, 121)(45, 125)(46, 138)(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) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E24.786
Graph:: simple bipartite
	v = 40 e = 96 f = 10
	degree seq :: [ 4^24, 6^16 ]

E24.778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^2 * Y1)^2, Y1 * Y2^-1 * Y1 * Y3 * Y2^-2 * Y3^-1, Y1 * Y3 * Y2^-1 * Y1 * Y3^-3, Y3^8, 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:: 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, 21, 69)(10, 58, 25, 73)(11, 59, 27, 75)(12, 60, 29, 77)(14, 62, 32, 80)(15, 63, 26, 74)(16, 64, 36, 84)(18, 66, 23, 71)(19, 67, 35, 83)(20, 68, 39, 87)(22, 70, 41, 89)(24, 72, 43, 91)(28, 76, 44, 92)(30, 78, 42, 90)(31, 79, 46, 94)(33, 81, 37, 85)(34, 82, 38, 86)(40, 88, 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, 118, 166, 115, 163)(106, 154, 120, 168, 116, 164)(109, 157, 123, 171, 128, 176)(111, 159, 124, 172, 130, 178)(113, 161, 125, 173, 132, 180)(114, 162, 126, 174, 133, 181)(117, 165, 131, 179, 137, 185)(119, 167, 129, 177, 138, 186)(121, 169, 135, 183, 139, 187)(122, 170, 134, 182, 140, 188)(127, 175, 143, 191, 141, 189)(136, 184, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 111)(5, 110)(6, 97)(7, 115)(8, 119)(9, 118)(10, 98)(11, 124)(12, 99)(13, 127)(14, 130)(15, 131)(16, 101)(17, 134)(18, 102)(19, 129)(20, 103)(21, 136)(22, 138)(23, 123)(24, 105)(25, 126)(26, 106)(27, 141)(28, 117)(29, 122)(30, 108)(31, 113)(32, 143)(33, 109)(34, 137)(35, 144)(36, 140)(37, 112)(38, 116)(39, 114)(40, 121)(41, 142)(42, 128)(43, 133)(44, 120)(45, 125)(46, 139)(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) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E24.787
Graph:: simple bipartite
	v = 40 e = 96 f = 10
	degree seq :: [ 4^24, 6^16 ]

E24.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y3^3 * Y1 * Y3^-1, Y2 * Y1 * Y3^-2 * Y1 * Y3^-2, Y3^8 * Y2, (Y3^-1 * Y1)^12 ]
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, 34, 82)(15, 63, 32, 80)(16, 64, 37, 85)(18, 66, 41, 89)(19, 67, 43, 91)(20, 68, 42, 90)(22, 70, 30, 78)(23, 71, 35, 83)(24, 72, 45, 93)(26, 74, 36, 84)(28, 76, 39, 87)(31, 79, 44, 92)(33, 81, 38, 86)(40, 88, 46, 94)(47, 95, 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, 128, 176)(110, 158, 124, 172, 132, 180)(113, 161, 125, 173, 133, 181)(114, 162, 126, 174, 134, 182)(117, 165, 139, 187, 131, 179)(118, 166, 129, 177, 137, 185)(121, 169, 138, 186, 141, 189)(122, 170, 130, 178, 135, 183)(127, 175, 143, 191, 136, 184)(140, 188, 144, 192, 142, 190)
	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, 127)(14, 131)(15, 132)(16, 101)(17, 135)(18, 102)(19, 129)(20, 103)(21, 140)(22, 128)(23, 137)(24, 105)(25, 134)(26, 106)(27, 143)(28, 117)(29, 122)(30, 108)(31, 125)(32, 136)(33, 109)(34, 116)(35, 142)(36, 139)(37, 130)(38, 112)(39, 120)(40, 113)(41, 123)(42, 114)(43, 144)(44, 138)(45, 126)(46, 121)(47, 133)(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, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E24.788
Graph:: simple bipartite
	v = 40 e = 96 f = 10
	degree seq :: [ 4^24, 6^16 ]

E24.780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^3 * Y3^-1 * Y2^-1 * Y3, (Y3^-1 * Y2 * Y3 * Y2)^2, (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, 23, 71, 31, 79)(12, 60, 24, 72, 14, 62)(15, 63, 25, 73, 21, 69)(16, 64, 26, 74, 22, 70)(18, 66, 27, 75, 20, 68)(19, 67, 28, 76, 40, 88)(29, 77, 37, 85, 41, 89)(30, 78, 43, 91, 32, 80)(33, 81, 44, 92, 35, 83)(34, 82, 45, 93, 36, 84)(38, 86, 42, 90, 39, 87)(46, 94, 47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 125, 173, 142, 190, 135, 183, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 133, 181, 143, 191, 134, 182, 124, 172, 106, 154)(100, 148, 111, 159, 130, 178, 108, 156, 129, 177, 114, 162, 126, 174, 112, 160)(101, 149, 109, 157, 127, 175, 137, 185, 144, 192, 138, 186, 136, 184, 113, 161)(103, 151, 117, 165, 132, 180, 110, 158, 131, 179, 116, 164, 128, 176, 118, 166)(105, 153, 121, 169, 141, 189, 120, 168, 140, 188, 123, 171, 139, 187, 122, 170)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 120)(9, 101)(10, 123)(11, 126)(12, 104)(13, 110)(14, 99)(15, 133)(16, 134)(17, 116)(18, 106)(19, 130)(20, 102)(21, 125)(22, 135)(23, 139)(24, 109)(25, 137)(26, 138)(27, 113)(28, 141)(29, 111)(30, 119)(31, 128)(32, 107)(33, 143)(34, 124)(35, 142)(36, 115)(37, 121)(38, 122)(39, 112)(40, 132)(41, 117)(42, 118)(43, 127)(44, 144)(45, 136)(46, 129)(47, 140)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.783
Graph:: simple bipartite
	v = 22 e = 96 f = 28
	degree seq :: [ 6^16, 16^6 ]

E24.781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y1^-2 * Y2 * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y2^-3, Y2^8, (Y3 * Y2)^12 ]
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, 19, 67, 25, 73)(12, 60, 20, 68, 26, 74)(14, 62, 21, 69, 31, 79)(15, 63, 22, 70, 32, 80)(17, 65, 23, 71, 36, 84)(18, 66, 24, 72, 37, 85)(27, 75, 34, 82, 40, 88)(28, 76, 43, 91, 38, 86)(29, 77, 45, 93, 41, 89)(30, 78, 33, 81, 42, 90)(35, 83, 44, 92, 39, 87)(46, 94, 47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 123, 171, 142, 190, 135, 183, 114, 162, 102, 150)(98, 146, 103, 151, 115, 163, 136, 184, 143, 191, 140, 188, 120, 168, 105, 153)(100, 148, 110, 158, 129, 177, 122, 170, 141, 189, 132, 180, 124, 172, 111, 159)(101, 149, 106, 154, 121, 169, 130, 178, 144, 192, 131, 179, 133, 181, 112, 160)(104, 152, 117, 165, 126, 174, 108, 156, 125, 173, 113, 161, 134, 182, 118, 166)(109, 157, 127, 175, 138, 186, 116, 164, 137, 185, 119, 167, 139, 187, 128, 176)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 109)(6, 113)(7, 116)(8, 98)(9, 119)(10, 122)(11, 124)(12, 99)(13, 101)(14, 130)(15, 131)(16, 132)(17, 102)(18, 129)(19, 134)(20, 103)(21, 123)(22, 135)(23, 105)(24, 126)(25, 139)(26, 106)(27, 117)(28, 107)(29, 143)(30, 120)(31, 136)(32, 140)(33, 114)(34, 110)(35, 111)(36, 112)(37, 138)(38, 115)(39, 118)(40, 127)(41, 144)(42, 133)(43, 121)(44, 128)(45, 142)(46, 141)(47, 125)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.784
Graph:: simple bipartite
	v = 22 e = 96 f = 28
	degree seq :: [ 6^16, 16^6 ]

E24.782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y1 * Y2^-1 * Y1 * Y2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2^3 * Y3, Y2^2 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^8, (Y3 * Y2)^12 ]
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, 19, 67, 25, 73)(12, 60, 20, 68, 26, 74)(14, 62, 21, 69, 31, 79)(15, 63, 22, 70, 32, 80)(17, 65, 23, 71, 36, 84)(18, 66, 24, 72, 37, 85)(27, 75, 43, 91, 34, 82)(28, 76, 38, 86, 40, 88)(29, 77, 45, 93, 41, 89)(30, 78, 42, 90, 33, 81)(35, 83, 39, 87, 44, 92)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 123, 171, 142, 190, 135, 183, 114, 162, 102, 150)(98, 146, 103, 151, 115, 163, 130, 178, 144, 192, 131, 179, 120, 168, 105, 153)(100, 148, 110, 158, 129, 177, 116, 164, 137, 185, 119, 167, 124, 172, 111, 159)(101, 149, 106, 154, 121, 169, 139, 187, 143, 191, 140, 188, 133, 181, 112, 160)(104, 152, 117, 165, 138, 186, 122, 170, 141, 189, 132, 180, 136, 184, 118, 166)(108, 156, 125, 173, 113, 161, 134, 182, 128, 176, 109, 157, 127, 175, 126, 174)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 109)(6, 113)(7, 116)(8, 98)(9, 119)(10, 122)(11, 124)(12, 99)(13, 101)(14, 130)(15, 131)(16, 132)(17, 102)(18, 129)(19, 136)(20, 103)(21, 139)(22, 140)(23, 105)(24, 138)(25, 134)(26, 106)(27, 127)(28, 107)(29, 143)(30, 133)(31, 123)(32, 135)(33, 114)(34, 110)(35, 111)(36, 112)(37, 126)(38, 121)(39, 128)(40, 115)(41, 142)(42, 120)(43, 117)(44, 118)(45, 144)(46, 137)(47, 125)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.785
Graph:: simple bipartite
	v = 22 e = 96 f = 28
	degree seq :: [ 6^16, 16^6 ]

E24.783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, (R * Y2)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y1^-2 * Y2 * Y3^-1 * Y1^-2, Y2 * Y1^2 * Y2 * Y1^-2, (Y3^-1 * Y1^2)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
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, 47, 95, 41, 89, 44, 92, 37, 85, 46, 94, 40, 88, 43, 91, 36, 84, 48, 96, 39, 87, 45, 93)(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, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.780
Graph:: bipartite
	v = 28 e = 96 f = 22
	degree seq :: [ 4^24, 24^4 ]

E24.784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1^-2 * Y3 * Y1, Y3 * Y2 * Y1^-4, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y2)^3, Y3 * Y1^-3 * Y2 * Y3 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^2 * Y3 * Y1^-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, 46, 94, 32, 80, 41, 89, 34, 82, 44, 92, 35, 83, 40, 88, 29, 77, 43, 91, 33, 81, 45, 93)(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, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.781
Graph:: bipartite
	v = 28 e = 96 f = 22
	degree seq :: [ 4^24, 24^4 ]

E24.785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3)^2, Y1 * Y3 * Y1^-2 * Y2 * Y1, (Y3 * Y2)^3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
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, 44, 92, 30, 78, 45, 93, 28, 76, 46, 94, 31, 79, 40, 88, 33, 81, 43, 91, 35, 83, 41, 89)(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, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.782
Graph:: bipartite
	v = 28 e = 96 f = 22
	degree seq :: [ 4^24, 24^4 ]

E24.786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y2^-1 * R * Y2 * R * Y1^-2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y1^-2 * Y2 * R * Y2^-1 * R, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3^-1, R * Y3^-1 * Y1 * Y2^-1 * R * Y2^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3^-3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y3^-1)^2, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 26, 74, 44, 92, 43, 91, 19, 67, 5, 53)(3, 51, 13, 61, 39, 87, 23, 71, 42, 90, 18, 66, 27, 75, 11, 59)(4, 52, 17, 65, 7, 55, 25, 73, 29, 77, 14, 62, 37, 85, 20, 68)(6, 54, 21, 69, 36, 84, 48, 96, 34, 82, 45, 93, 28, 76, 9, 57)(10, 58, 33, 81, 12, 60, 38, 86, 24, 72, 30, 78, 22, 70, 35, 83)(15, 63, 40, 88, 16, 64, 31, 79, 47, 95, 32, 80, 46, 94, 41, 89)(97, 145, 99, 147, 110, 158, 128, 176, 106, 154, 130, 178, 140, 188, 138, 186, 113, 161, 136, 184, 120, 168, 102, 150)(98, 146, 105, 153, 126, 174, 111, 159, 103, 151, 119, 167, 139, 187, 144, 192, 129, 177, 143, 191, 133, 181, 107, 155)(100, 148, 114, 162, 122, 170, 141, 189, 131, 179, 142, 190, 125, 173, 109, 157, 101, 149, 117, 165, 134, 182, 112, 160)(104, 152, 123, 171, 116, 164, 127, 175, 108, 156, 132, 180, 115, 163, 135, 183, 121, 169, 137, 185, 118, 166, 124, 172)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 119)(7, 97)(8, 103)(9, 127)(10, 101)(11, 132)(12, 98)(13, 130)(14, 134)(15, 123)(16, 99)(17, 131)(18, 102)(19, 133)(20, 126)(21, 128)(22, 139)(23, 124)(24, 122)(25, 129)(26, 108)(27, 142)(28, 109)(29, 104)(30, 110)(31, 141)(32, 105)(33, 113)(34, 107)(35, 116)(36, 114)(37, 140)(38, 121)(39, 112)(40, 144)(41, 117)(42, 143)(43, 120)(44, 125)(45, 136)(46, 138)(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, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E24.777
Graph:: bipartite
	v = 10 e = 96 f = 40
	degree seq :: [ 16^6, 24^4 ]

E24.787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y3^2 * Y1^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-2 * Y1^-3, Y1^-1 * R * Y2 * R * Y3^-1 * Y2^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y2^-4 * Y3, Y1^-1 * Y2^-1 * Y1 * R * Y2^-1 * R, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 26, 74, 44, 92, 41, 89, 19, 67, 5, 53)(3, 51, 13, 61, 31, 79, 48, 96, 32, 80, 45, 93, 27, 75, 11, 59)(4, 52, 17, 65, 7, 55, 25, 73, 29, 77, 24, 72, 30, 78, 20, 68)(6, 54, 21, 69, 43, 91, 15, 63, 42, 90, 16, 64, 28, 76, 9, 57)(10, 58, 33, 81, 12, 60, 38, 86, 14, 62, 37, 85, 22, 70, 35, 83)(18, 66, 36, 84, 47, 95, 34, 82, 46, 94, 39, 87, 23, 71, 40, 88)(97, 145, 99, 147, 110, 158, 136, 184, 113, 161, 138, 186, 140, 188, 128, 176, 106, 154, 130, 178, 120, 168, 102, 150)(98, 146, 105, 153, 126, 174, 143, 191, 129, 177, 144, 192, 137, 185, 111, 159, 103, 151, 119, 167, 133, 181, 107, 155)(100, 148, 114, 162, 134, 182, 109, 157, 101, 149, 117, 165, 125, 173, 142, 190, 131, 179, 141, 189, 122, 170, 112, 160)(104, 152, 123, 171, 118, 166, 135, 183, 121, 169, 139, 187, 115, 163, 127, 175, 108, 156, 132, 180, 116, 164, 124, 172)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 119)(7, 97)(8, 103)(9, 127)(10, 101)(11, 132)(12, 98)(13, 130)(14, 122)(15, 123)(16, 99)(17, 131)(18, 102)(19, 126)(20, 133)(21, 128)(22, 137)(23, 124)(24, 134)(25, 129)(26, 108)(27, 117)(28, 142)(29, 104)(30, 140)(31, 112)(32, 105)(33, 113)(34, 107)(35, 116)(36, 141)(37, 120)(38, 121)(39, 109)(40, 144)(41, 110)(42, 143)(43, 114)(44, 125)(45, 136)(46, 138)(47, 139)(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, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E24.778
Graph:: bipartite
	v = 10 e = 96 f = 40
	degree seq :: [ 16^6, 24^4 ]

E24.788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1 * Y3)^3, Y2 * Y1^2 * Y2 * Y3 * Y1^-1, Y2^3 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2^2 * Y1^-2, Y2^-3 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * R * Y2^-1 * R * Y3, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-2, Y3^2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^2 * Y1^5 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 28, 76, 46, 94, 44, 92, 21, 69, 5, 53)(3, 51, 13, 61, 35, 83, 9, 57, 33, 81, 20, 68, 29, 77, 15, 63)(4, 52, 10, 58, 30, 78, 27, 75, 42, 90, 26, 74, 41, 89, 19, 67)(6, 54, 17, 65, 40, 88, 11, 59, 37, 85, 22, 70, 31, 79, 25, 73)(7, 55, 12, 60, 32, 80, 14, 62, 34, 82, 18, 66, 38, 86, 23, 71)(16, 64, 43, 91, 24, 72, 36, 84, 48, 96, 39, 87, 47, 95, 45, 93)(97, 145, 99, 147, 110, 158, 132, 180, 106, 154, 133, 181, 142, 190, 129, 177, 119, 167, 141, 189, 122, 170, 102, 150)(98, 146, 105, 153, 130, 178, 143, 191, 126, 174, 121, 169, 140, 188, 111, 159, 103, 151, 120, 168, 137, 185, 107, 155)(100, 148, 113, 161, 124, 172, 109, 157, 134, 182, 144, 192, 138, 186, 118, 166, 101, 149, 116, 164, 128, 176, 112, 160)(104, 152, 125, 173, 114, 162, 139, 187, 123, 171, 136, 184, 117, 165, 131, 179, 108, 156, 135, 183, 115, 163, 127, 175)
	L = (1, 100)(2, 106)(3, 107)(4, 114)(5, 115)(6, 120)(7, 97)(8, 126)(9, 127)(10, 134)(11, 135)(12, 98)(13, 133)(14, 124)(15, 136)(16, 99)(17, 132)(18, 140)(19, 130)(20, 102)(21, 137)(22, 141)(23, 101)(24, 131)(25, 139)(26, 128)(27, 103)(28, 123)(29, 113)(30, 119)(31, 112)(32, 104)(33, 121)(34, 142)(35, 118)(36, 105)(37, 143)(38, 117)(39, 116)(40, 144)(41, 110)(42, 108)(43, 109)(44, 122)(45, 111)(46, 138)(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, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E24.779
Graph:: bipartite
	v = 10 e = 96 f = 40
	degree seq :: [ 16^6, 24^4 ]

E24.789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y2^-2 * Y1, (Y2^2 * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, Y3 * Y1 * Y2^-2 * Y3^-1 * Y1, Y2 * Y1 * Y2^-3 * Y1, (Y2^-1 * Y3)^3, (Y2 * Y1 * Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 23, 71)(8, 56, 27, 75)(9, 57, 30, 78)(10, 58, 33, 81)(12, 60, 31, 79)(13, 61, 34, 82)(14, 62, 26, 74)(16, 64, 32, 80)(17, 65, 29, 77)(19, 67, 24, 72)(20, 68, 28, 76)(22, 70, 25, 73)(35, 83, 42, 90)(36, 84, 43, 91)(37, 85, 45, 93)(38, 86, 44, 92)(39, 87, 48, 96)(40, 88, 47, 95)(41, 89, 46, 94)(97, 145, 99, 147, 108, 156, 119, 167, 138, 186, 126, 174, 115, 163, 101, 149)(98, 146, 103, 151, 120, 168, 107, 155, 131, 179, 114, 162, 127, 175, 105, 153)(100, 148, 109, 157, 123, 171, 139, 187, 137, 185, 118, 166, 135, 183, 113, 161)(102, 150, 110, 158, 133, 181, 112, 160, 134, 182, 143, 191, 129, 177, 116, 164)(104, 152, 121, 169, 111, 159, 132, 180, 144, 192, 130, 178, 142, 190, 125, 173)(106, 154, 122, 170, 140, 188, 124, 172, 141, 189, 136, 184, 117, 165, 128, 176)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 113)(6, 97)(7, 121)(8, 124)(9, 125)(10, 98)(11, 132)(12, 123)(13, 134)(14, 99)(15, 136)(16, 119)(17, 133)(18, 130)(19, 135)(20, 101)(21, 127)(22, 102)(23, 139)(24, 111)(25, 141)(26, 103)(27, 143)(28, 107)(29, 140)(30, 118)(31, 142)(32, 105)(33, 115)(34, 106)(35, 144)(36, 117)(37, 108)(38, 138)(39, 110)(40, 114)(41, 116)(42, 137)(43, 129)(44, 120)(45, 131)(46, 122)(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) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E24.790
Graph:: simple bipartite
	v = 30 e = 96 f = 20
	degree seq :: [ 4^24, 16^6 ]

E24.790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-4 * Y1^-1, Y3^-1 * Y2^2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, (R * Y2^-2)^2, (Y2 * R * Y2 * Y1^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 10, 58, 17, 65)(11, 59, 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, 144, 192, 134, 182, 143, 191, 131, 179, 141, 189, 137, 185, 139, 187, 136, 184, 142, 190, 132, 180, 140, 188)
	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, 16, 4, 16, 4, 16 ), ( 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 E24.789
Graph:: bipartite
	v = 20 e = 96 f = 30
	degree seq :: [ 6^16, 24^4 ]

E24.791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ 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, Y3^5 * Y2 * Y3^5 * Y2^-1, Y3^-12 * Y1 ]
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, 12, 60)(11, 59, 15, 63)(14, 62, 16, 64)(17, 65, 21, 69)(18, 66, 20, 68)(19, 67, 23, 71)(22, 70, 24, 72)(25, 73, 29, 77)(26, 74, 28, 76)(27, 75, 31, 79)(30, 78, 32, 80)(33, 81, 37, 85)(34, 82, 36, 84)(35, 83, 39, 87)(38, 86, 40, 88)(41, 89, 45, 93)(42, 90, 44, 92)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 98, 146, 101, 149)(100, 148, 106, 154, 103, 151, 108, 156)(102, 150, 105, 153, 104, 152, 109, 157)(107, 155, 114, 162, 111, 159, 116, 164)(110, 158, 113, 161, 112, 160, 117, 165)(115, 163, 122, 170, 119, 167, 124, 172)(118, 166, 121, 169, 120, 168, 125, 173)(123, 171, 130, 178, 127, 175, 132, 180)(126, 174, 129, 177, 128, 176, 133, 181)(131, 179, 138, 186, 135, 183, 140, 188)(134, 182, 137, 185, 136, 184, 141, 189)(139, 187, 144, 192, 142, 190, 143, 191)
	L = (1, 100)(2, 103)(3, 105)(4, 107)(5, 109)(6, 97)(7, 111)(8, 98)(9, 113)(10, 99)(11, 115)(12, 101)(13, 117)(14, 102)(15, 119)(16, 104)(17, 121)(18, 106)(19, 123)(20, 108)(21, 125)(22, 110)(23, 127)(24, 112)(25, 129)(26, 114)(27, 131)(28, 116)(29, 133)(30, 118)(31, 135)(32, 120)(33, 137)(34, 122)(35, 139)(36, 124)(37, 141)(38, 126)(39, 142)(40, 128)(41, 143)(42, 130)(43, 136)(44, 132)(45, 144)(46, 134)(47, 140)(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, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.798
Graph:: bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2, Y2^4, (R * Y3)^2, Y3^4, Y3^-1 * Y2^2 * Y3^-1, R * Y2 * R * Y2^-1, (Y2 * Y1)^2, (R * Y1)^2, Y1 * Y2^2 * Y1 * Y2^-2, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1)^24 ]
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, 47, 95)(40, 88, 48, 96)(43, 91, 45, 93)(44, 92, 46, 94)(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, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.799
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2^2 * Y3^-2, R * Y2 * R * Y2^-1, Y3 * Y2^2 * Y3, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y3^-2 * Y1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * 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, 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, 47, 95)(40, 88, 48, 96)(43, 91, 46, 94)(44, 92, 45, 93)(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, 143, 191, 140, 188, 144, 192)
	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, 144)(42, 143)(43, 132)(44, 131)(45, 134)(46, 133)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.800
Graph:: simple bipartite
	v = 36 e = 96 f = 14
	degree seq :: [ 4^24, 8^12 ]

E24.794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y1^4, Y1^-1 * Y2^2 * Y1^-1, (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2, Y3^-1), Y3^4 * Y2 * Y3^2, Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-2 * Y2 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: 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, 46, 94, 45, 93, 44, 92)(36, 84, 48, 96, 47, 95, 41, 89)(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, 132, 180, 141, 189, 143, 191)(137, 185, 140, 188, 144, 192, 142, 190)
	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, 132)(30, 110)(31, 111)(32, 131)(33, 143)(34, 144)(35, 115)(36, 116)(37, 141)(38, 118)(39, 140)(40, 120)(41, 139)(42, 142)(43, 123)(44, 124)(45, 126)(46, 127)(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) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.797
Graph:: bipartite
	v = 24 e = 96 f = 26
	degree seq :: [ 8^24 ]

E24.795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, Y2^4, Y1^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^2 * Y2^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2, Y3^-1), Y2^-1 * Y3^6, Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^2 * Y2 * Y3^2 * Y1^-1 * Y3^-1, Y2^-1 * Y3^-2 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: 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, 46, 94, 48, 96, 44, 92)(36, 84, 47, 95, 45, 93, 41, 89)(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, 144, 192, 132, 180)(137, 185, 142, 190, 143, 191, 140, 188)
	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, 126)(33, 132)(34, 143)(35, 115)(36, 116)(37, 144)(38, 118)(39, 142)(40, 120)(41, 136)(42, 140)(43, 123)(44, 124)(45, 134)(46, 127)(47, 139)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.796
Graph:: bipartite
	v = 24 e = 96 f = 26
	degree seq :: [ 8^24 ]

E24.796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, Y2 * Y1 * R * Y2 * R * Y1, (Y2 * Y1^2)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y2 * Y1^2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 30, 78, 10, 58, 22, 70, 39, 87, 47, 95, 45, 93, 28, 76, 43, 91, 31, 79, 44, 92, 48, 96, 46, 94, 29, 77, 13, 61, 25, 73, 41, 89, 35, 83, 17, 65, 5, 53)(3, 51, 9, 57, 27, 75, 42, 90, 20, 68, 14, 62, 4, 52, 12, 60, 32, 80, 37, 85, 23, 71, 7, 55, 21, 69, 15, 63, 33, 81, 38, 86, 26, 74, 8, 56, 24, 72, 16, 64, 34, 82, 40, 88, 19, 67, 11, 59)(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, 133, 181)(116, 164, 137, 185)(117, 165, 139, 187)(119, 167, 140, 188)(122, 170, 135, 183)(128, 176, 142, 190)(129, 177, 141, 189)(130, 178, 132, 180)(131, 179, 134, 182)(136, 184, 144, 192)(138, 186, 143, 191)
	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, 134)(19, 135)(20, 102)(21, 109)(22, 103)(23, 137)(24, 139)(25, 107)(26, 140)(27, 132)(28, 108)(29, 105)(30, 111)(31, 110)(32, 113)(33, 142)(34, 141)(35, 136)(36, 123)(37, 143)(38, 114)(39, 115)(40, 131)(41, 119)(42, 144)(43, 120)(44, 122)(45, 130)(46, 129)(47, 133)(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) :: { ( 8^4 ), ( 8^48 ) }
Outer automorphisms :: reflexible
Dual of E24.795
Graph:: bipartite
	v = 26 e = 96 f = 24
	degree seq :: [ 4^24, 48^2 ]

E24.797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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, Y3^2, (Y3 * R)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3)^2, (Y1^-2 * Y2)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, Y3 * Y1^4 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 29, 77, 13, 61, 25, 73, 41, 89, 47, 95, 46, 94, 28, 76, 43, 91, 31, 79, 44, 92, 48, 96, 45, 93, 30, 78, 10, 58, 22, 70, 39, 87, 35, 83, 17, 65, 5, 53)(3, 51, 9, 57, 27, 75, 38, 86, 26, 74, 8, 56, 24, 72, 16, 64, 34, 82, 37, 85, 23, 71, 7, 55, 21, 69, 15, 63, 33, 81, 42, 90, 20, 68, 14, 62, 4, 52, 12, 60, 32, 80, 40, 88, 19, 67, 11, 59)(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, 133, 181)(116, 164, 137, 185)(117, 165, 139, 187)(119, 167, 140, 188)(122, 170, 135, 183)(128, 176, 132, 180)(129, 177, 142, 190)(130, 178, 141, 189)(131, 179, 138, 186)(134, 182, 143, 191)(136, 184, 144, 192)
	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, 134)(19, 135)(20, 102)(21, 109)(22, 103)(23, 137)(24, 139)(25, 107)(26, 140)(27, 141)(28, 108)(29, 105)(30, 111)(31, 110)(32, 113)(33, 132)(34, 142)(35, 133)(36, 129)(37, 131)(38, 114)(39, 115)(40, 143)(41, 119)(42, 144)(43, 120)(44, 122)(45, 123)(46, 130)(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) :: { ( 8^4 ), ( 8^48 ) }
Outer automorphisms :: reflexible
Dual of E24.794
Graph:: bipartite
	v = 26 e = 96 f = 24
	degree seq :: [ 4^24, 48^2 ]

E24.798 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y1^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y1^-2 * Y3 * Y2^-1, (R * Y2)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-5 * Y1 * Y2^-5 * Y1^-1, Y2^-5 * Y3^-1 * Y2^-6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 4, 52, 12, 60)(6, 54, 9, 57, 7, 55, 10, 58)(13, 61, 19, 67, 14, 62, 20, 68)(15, 63, 17, 65, 16, 64, 18, 66)(21, 69, 27, 75, 22, 70, 28, 76)(23, 71, 25, 73, 24, 72, 26, 74)(29, 77, 35, 83, 30, 78, 36, 84)(31, 79, 33, 81, 32, 80, 34, 82)(37, 85, 43, 91, 38, 86, 44, 92)(39, 87, 41, 89, 40, 88, 42, 90)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 136, 184, 128, 176, 120, 168, 112, 160, 103, 151, 104, 152, 100, 148, 110, 158, 118, 166, 126, 174, 134, 182, 142, 190, 135, 183, 127, 175, 119, 167, 111, 159, 102, 150)(98, 146, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 143, 191, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 144, 192, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155)
	L = (1, 100)(2, 106)(3, 110)(4, 109)(5, 105)(6, 104)(7, 97)(8, 99)(9, 114)(10, 113)(11, 101)(12, 98)(13, 118)(14, 117)(15, 103)(16, 102)(17, 122)(18, 121)(19, 108)(20, 107)(21, 126)(22, 125)(23, 112)(24, 111)(25, 130)(26, 129)(27, 116)(28, 115)(29, 134)(30, 133)(31, 120)(32, 119)(33, 138)(34, 137)(35, 124)(36, 123)(37, 142)(38, 141)(39, 128)(40, 127)(41, 144)(42, 143)(43, 132)(44, 131)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.791
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 8^12, 48^2 ]

E24.799 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y1^-1 * Y3^-2 * Y1^-1, Y1^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-5 * Y1 * Y3^-1 * Y2^-1 ]
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, 37, 85, 29, 77)(15, 63, 27, 75, 16, 64, 26, 74)(17, 65, 25, 73, 19, 67, 24, 72)(20, 68, 23, 71, 38, 86, 34, 82)(30, 78, 45, 93, 47, 95, 44, 92)(31, 79, 43, 91, 32, 80, 42, 90)(33, 81, 41, 89, 35, 83, 40, 88)(36, 84, 46, 94, 48, 96, 39, 87)(97, 145, 99, 147, 110, 158, 126, 174, 137, 185, 120, 168, 108, 156, 123, 171, 139, 187, 144, 192, 134, 182, 118, 166, 104, 152, 117, 165, 133, 181, 143, 191, 136, 184, 121, 169, 106, 154, 122, 170, 138, 186, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 135, 183, 127, 175, 112, 160, 100, 148, 113, 161, 129, 177, 141, 189, 125, 173, 109, 157, 101, 149, 114, 162, 130, 178, 142, 190, 128, 176, 111, 159, 103, 151, 115, 163, 131, 179, 140, 188, 124, 172, 107, 155)
	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, 136)(24, 114)(25, 105)(26, 107)(27, 109)(28, 138)(29, 139)(30, 142)(31, 133)(32, 110)(33, 134)(34, 137)(35, 116)(36, 140)(37, 128)(38, 131)(39, 126)(40, 130)(41, 119)(42, 125)(43, 124)(44, 144)(45, 132)(46, 143)(47, 135)(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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.792
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 8^12, 48^2 ]

E24.800 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y1^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-4 * Y3 * Y2^2 * Y1^-1, Y2^3 * Y3 * Y2^-3 * Y1^-1 ]
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, 37, 85, 29, 77)(15, 63, 27, 75, 16, 64, 26, 74)(17, 65, 25, 73, 19, 67, 24, 72)(20, 68, 23, 71, 38, 86, 34, 82)(30, 78, 45, 93, 47, 95, 44, 92)(31, 79, 43, 91, 32, 80, 42, 90)(33, 81, 41, 89, 35, 83, 40, 88)(36, 84, 46, 94, 48, 96, 39, 87)(97, 145, 99, 147, 110, 158, 126, 174, 136, 184, 121, 169, 106, 154, 122, 170, 138, 186, 144, 192, 134, 182, 118, 166, 104, 152, 117, 165, 133, 181, 143, 191, 137, 185, 120, 168, 108, 156, 123, 171, 139, 187, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 135, 183, 128, 176, 111, 159, 103, 151, 115, 163, 131, 179, 141, 189, 125, 173, 109, 157, 101, 149, 114, 162, 130, 178, 142, 190, 127, 175, 112, 160, 100, 148, 113, 161, 129, 177, 140, 188, 124, 172, 107, 155)
	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, 136)(24, 114)(25, 105)(26, 107)(27, 109)(28, 138)(29, 139)(30, 135)(31, 133)(32, 110)(33, 134)(34, 137)(35, 116)(36, 141)(37, 128)(38, 131)(39, 143)(40, 130)(41, 119)(42, 125)(43, 124)(44, 132)(45, 144)(46, 126)(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, 4, 8, 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 E24.793
Graph:: bipartite
	v = 14 e = 96 f = 36
	degree seq :: [ 8^12, 48^2 ]

E24.801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3 * Y2^-1 * Y3, Y1 * Y2^-1 * Y1 * Y2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 12, 60)(5, 53, 9, 57)(6, 54, 13, 61)(8, 56, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(14, 62, 21, 69)(18, 66, 25, 73)(19, 67, 26, 74)(20, 68, 27, 75)(22, 70, 28, 76)(23, 71, 29, 77)(24, 72, 30, 78)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(35, 83, 41, 89)(36, 84, 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, 102, 150)(104, 152, 110, 158, 106, 154)(108, 156, 113, 161, 109, 157)(111, 159, 117, 165, 112, 160)(114, 162, 116, 164, 115, 163)(118, 166, 120, 168, 119, 167)(121, 169, 123, 171, 122, 170)(124, 172, 126, 174, 125, 173)(127, 175, 129, 177, 128, 176)(130, 178, 132, 180, 131, 179)(133, 181, 135, 183, 134, 182)(136, 184, 138, 186, 137, 185)(139, 187, 141, 189, 140, 188)(142, 190, 144, 192, 143, 191)
	L = (1, 100)(2, 104)(3, 107)(4, 99)(5, 102)(6, 97)(7, 110)(8, 103)(9, 106)(10, 98)(11, 101)(12, 114)(13, 115)(14, 105)(15, 118)(16, 119)(17, 116)(18, 113)(19, 108)(20, 109)(21, 120)(22, 117)(23, 111)(24, 112)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 123)(32, 121)(33, 122)(34, 126)(35, 124)(36, 125)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 135)(44, 133)(45, 134)(46, 138)(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) :: { ( 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.804
Graph:: simple bipartite
	v = 40 e = 96 f = 10
	degree seq :: [ 4^24, 6^16 ]

E24.802 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y1^3, Y1 * Y3^-2, (R * Y3)^2, (Y1 * Y2^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 6, 54, 9, 57)(4, 52, 8, 56, 7, 55)(10, 58, 14, 62, 11, 59)(12, 60, 13, 61, 15, 63)(16, 64, 17, 65, 18, 66)(19, 67, 21, 69, 20, 68)(22, 70, 24, 72, 23, 71)(25, 73, 26, 74, 27, 75)(28, 76, 29, 77, 30, 78)(31, 79, 33, 81, 32, 80)(34, 82, 36, 84, 35, 83)(37, 85, 38, 86, 39, 87)(40, 88, 41, 89, 42, 90)(43, 91, 45, 93, 44, 92)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 101, 149, 105, 153, 98, 146, 102, 150)(100, 148, 108, 156, 103, 151, 111, 159, 104, 152, 109, 157)(106, 154, 112, 160, 107, 155, 114, 162, 110, 158, 113, 161)(115, 163, 121, 169, 116, 164, 123, 171, 117, 165, 122, 170)(118, 166, 124, 172, 119, 167, 126, 174, 120, 168, 125, 173)(127, 175, 133, 181, 128, 176, 135, 183, 129, 177, 134, 182)(130, 178, 136, 184, 131, 179, 138, 186, 132, 180, 137, 185)(139, 187, 142, 190, 140, 188, 143, 191, 141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 98)(5, 103)(6, 110)(7, 97)(8, 101)(9, 107)(10, 102)(11, 99)(12, 115)(13, 117)(14, 105)(15, 116)(16, 118)(17, 120)(18, 119)(19, 109)(20, 108)(21, 111)(22, 113)(23, 112)(24, 114)(25, 127)(26, 129)(27, 128)(28, 130)(29, 132)(30, 131)(31, 122)(32, 121)(33, 123)(34, 125)(35, 124)(36, 126)(37, 139)(38, 141)(39, 140)(40, 142)(41, 144)(42, 143)(43, 134)(44, 133)(45, 135)(46, 137)(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) :: { ( 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.803
Graph:: bipartite
	v = 24 e = 96 f = 26
	degree seq :: [ 6^16, 12^8 ]

E24.803 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^3, Y2 * Y3^-1 * Y2 * Y3, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^3 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 29, 77, 41, 89, 37, 85, 24, 72, 13, 61, 22, 70, 34, 82, 46, 94, 48, 96, 47, 95, 36, 84, 25, 73, 12, 60, 21, 69, 33, 81, 45, 93, 40, 88, 28, 76, 16, 64, 5, 53)(3, 51, 11, 59, 23, 71, 35, 83, 42, 90, 32, 80, 19, 67, 8, 56, 6, 54, 15, 63, 27, 75, 39, 87, 44, 92, 31, 79, 18, 66, 10, 58, 4, 52, 14, 62, 26, 74, 38, 86, 43, 91, 30, 78, 20, 68, 9, 57)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 110, 158)(102, 150, 109, 157)(103, 151, 114, 162)(105, 153, 117, 165)(106, 154, 118, 166)(107, 155, 120, 168)(111, 159, 121, 169)(112, 160, 123, 171)(113, 161, 126, 174)(115, 163, 129, 177)(116, 164, 130, 178)(119, 167, 132, 180)(122, 170, 133, 181)(124, 172, 131, 179)(125, 173, 138, 186)(127, 175, 141, 189)(128, 176, 142, 190)(134, 182, 143, 191)(135, 183, 137, 185)(136, 184, 139, 187)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 109)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 101)(12, 102)(13, 99)(14, 121)(15, 120)(16, 119)(17, 127)(18, 129)(19, 130)(20, 103)(21, 106)(22, 104)(23, 133)(24, 110)(25, 107)(26, 112)(27, 132)(28, 134)(29, 139)(30, 141)(31, 142)(32, 113)(33, 116)(34, 114)(35, 143)(36, 122)(37, 123)(38, 137)(39, 124)(40, 140)(41, 131)(42, 136)(43, 144)(44, 125)(45, 128)(46, 126)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.802
Graph:: bipartite
	v = 26 e = 96 f = 24
	degree seq :: [ 4^24, 48^2 ]

E24.804 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^2, R * Y2^-1 * R * Y1^-1 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1, Y1^6, Y2^7 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 12, 60, 4, 52)(3, 51, 9, 57, 17, 65, 13, 61, 21, 69, 8, 56)(5, 53, 11, 59, 18, 66, 7, 55, 19, 67, 14, 62)(10, 58, 24, 72, 29, 77, 22, 70, 33, 81, 23, 71)(15, 63, 27, 75, 30, 78, 26, 74, 31, 79, 20, 68)(25, 73, 34, 82, 41, 89, 35, 83, 45, 93, 36, 84)(28, 76, 32, 80, 42, 90, 39, 87, 43, 91, 38, 86)(37, 85, 44, 92, 48, 96, 47, 95, 40, 88, 46, 94)(97, 145, 99, 147, 106, 154, 121, 169, 133, 181, 138, 186, 126, 174, 114, 162, 102, 150, 113, 161, 125, 173, 137, 185, 144, 192, 139, 187, 127, 175, 115, 163, 108, 156, 117, 165, 129, 177, 141, 189, 136, 184, 124, 172, 111, 159, 101, 149)(98, 146, 103, 151, 116, 164, 128, 176, 140, 188, 131, 179, 119, 167, 105, 153, 112, 160, 110, 158, 123, 171, 135, 183, 143, 191, 132, 180, 120, 168, 109, 157, 100, 148, 107, 155, 122, 170, 134, 182, 142, 190, 130, 178, 118, 166, 104, 152)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 112)(7, 115)(8, 99)(9, 113)(10, 120)(11, 114)(12, 100)(13, 117)(14, 101)(15, 123)(16, 108)(17, 109)(18, 103)(19, 110)(20, 111)(21, 104)(22, 129)(23, 106)(24, 125)(25, 130)(26, 127)(27, 126)(28, 128)(29, 118)(30, 122)(31, 116)(32, 138)(33, 119)(34, 137)(35, 141)(36, 121)(37, 140)(38, 124)(39, 139)(40, 142)(41, 131)(42, 135)(43, 134)(44, 144)(45, 132)(46, 133)(47, 136)(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 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E24.801
Graph:: bipartite
	v = 10 e = 96 f = 40
	degree seq :: [ 12^8, 48^2 ]

E24.805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y3 * Y1 * Y3^-2 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, (Y3 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 23, 71)(16, 64, 25, 73)(17, 65, 24, 72)(18, 66, 26, 74)(19, 67, 27, 75)(20, 68, 29, 77)(21, 69, 28, 76)(22, 70, 30, 78)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(35, 83, 41, 89)(36, 84, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 117, 165, 110, 158, 102, 150)(103, 151, 111, 159, 120, 168, 114, 162, 105, 153, 112, 160)(107, 155, 115, 163, 124, 172, 118, 166, 109, 157, 116, 164)(119, 167, 127, 175, 122, 170, 129, 177, 121, 169, 128, 176)(123, 171, 130, 178, 126, 174, 132, 180, 125, 173, 131, 179)(133, 181, 139, 187, 135, 183, 141, 189, 134, 182, 140, 188)(136, 184, 142, 190, 138, 186, 144, 192, 137, 185, 143, 191)
	L = (1, 100)(2, 102)(3, 97)(4, 106)(5, 98)(6, 110)(7, 112)(8, 99)(9, 114)(10, 113)(11, 116)(12, 101)(13, 118)(14, 117)(15, 103)(16, 105)(17, 104)(18, 120)(19, 107)(20, 109)(21, 108)(22, 124)(23, 128)(24, 111)(25, 129)(26, 127)(27, 131)(28, 115)(29, 132)(30, 130)(31, 119)(32, 121)(33, 122)(34, 123)(35, 125)(36, 126)(37, 140)(38, 141)(39, 139)(40, 143)(41, 144)(42, 142)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.806
Graph:: bipartite
	v = 32 e = 96 f = 18
	degree seq :: [ 4^24, 12^8 ]

E24.806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y1, (Y2^-1, Y1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, R * Y2 * Y1 * R * Y2^-1, Y3^-1 * Y2^3 * Y3 * Y2^3, Y2^-8 * Y1^-1, Y2^2 * Y1^-1 * Y3^-1 * Y2^3 * Y3^-1 * Y1^-1 * Y2 ]
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, 21, 69, 25, 73)(12, 60, 16, 64, 14, 62)(15, 63, 18, 66, 20, 68)(19, 67, 22, 70, 29, 77)(23, 71, 33, 81, 37, 85)(24, 72, 27, 75, 26, 74)(28, 76, 30, 78, 31, 79)(32, 80, 34, 82, 41, 89)(35, 83, 44, 92, 45, 93)(36, 84, 39, 87, 38, 86)(40, 88, 42, 90, 43, 91)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 119, 167, 131, 179, 137, 185, 125, 173, 113, 161, 101, 149, 109, 157, 121, 169, 133, 181, 141, 189, 130, 178, 118, 166, 106, 154, 98, 146, 104, 152, 117, 165, 129, 177, 140, 188, 128, 176, 115, 163, 102, 150)(100, 148, 111, 159, 124, 172, 136, 184, 142, 190, 134, 182, 123, 171, 108, 156, 103, 151, 116, 164, 127, 175, 139, 187, 143, 191, 135, 183, 120, 168, 110, 158, 105, 153, 114, 162, 126, 174, 138, 186, 144, 192, 132, 180, 122, 170, 112, 160)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 112)(9, 101)(10, 116)(11, 120)(12, 104)(13, 110)(14, 99)(15, 102)(16, 109)(17, 111)(18, 106)(19, 127)(20, 113)(21, 123)(22, 124)(23, 132)(24, 117)(25, 122)(26, 107)(27, 121)(28, 125)(29, 126)(30, 115)(31, 118)(32, 136)(33, 135)(34, 138)(35, 142)(36, 129)(37, 134)(38, 119)(39, 133)(40, 130)(41, 139)(42, 137)(43, 128)(44, 144)(45, 143)(46, 140)(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) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E24.805
Graph:: bipartite
	v = 18 e = 96 f = 32
	degree seq :: [ 6^16, 48^2 ]

E24.807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^24 * Y1, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 6, 54)(7, 55, 9, 57)(8, 56, 10, 58)(11, 59, 13, 61)(12, 60, 14, 62)(15, 63, 17, 65)(16, 64, 18, 66)(19, 67, 21, 69)(20, 68, 22, 70)(23, 71, 25, 73)(24, 72, 26, 74)(27, 75, 29, 77)(28, 76, 30, 78)(31, 79, 33, 81)(32, 80, 34, 82)(35, 83, 37, 85)(36, 84, 38, 86)(39, 87, 41, 89)(40, 88, 42, 90)(43, 91, 45, 93)(44, 92, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 103, 151, 107, 155, 111, 159, 115, 163, 119, 167, 123, 171, 127, 175, 131, 179, 135, 183, 139, 187, 143, 191, 142, 190, 138, 186, 134, 182, 130, 178, 126, 174, 122, 170, 118, 166, 114, 162, 110, 158, 106, 154, 102, 150, 98, 146, 101, 149, 105, 153, 109, 157, 113, 161, 117, 165, 121, 169, 125, 173, 129, 177, 133, 181, 137, 185, 141, 189, 144, 192, 140, 188, 136, 184, 132, 180, 128, 176, 124, 172, 120, 168, 116, 164, 112, 160, 108, 156, 104, 152, 100, 148)
	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, 96, 4, 96 ), ( 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 25 e = 96 f = 25
	degree seq :: [ 4^24, 96 ]

E24.808 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^24, (T2^-1 * T1^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 48, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 49, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(50, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 72, 75, 76, 79, 80, 83, 84, 87, 88, 91, 92, 95, 96, 98, 97, 94, 93, 90, 89, 86, 85, 82, 81, 78, 77, 74, 73, 70, 69, 66, 65, 62, 61, 58, 57, 54, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.828
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.809 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T2^-24 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 46, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 49, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(50, 51, 54, 55, 58, 59, 62, 63, 66, 67, 70, 71, 74, 75, 78, 79, 82, 83, 86, 87, 90, 91, 94, 95, 98, 96, 97, 92, 93, 88, 89, 84, 85, 80, 81, 76, 77, 72, 73, 68, 69, 64, 65, 60, 61, 56, 57, 52, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.825
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.810 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^16, (T2^-1 * T1^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 46, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 48, 49, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 47, 41, 35, 29, 23, 17, 11, 5)(50, 51, 55, 52, 56, 61, 58, 62, 67, 64, 68, 73, 70, 74, 79, 76, 80, 85, 82, 86, 91, 88, 92, 97, 94, 96, 98, 95, 90, 93, 89, 84, 87, 83, 78, 81, 77, 72, 75, 71, 66, 69, 65, 60, 63, 59, 54, 57, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.830
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.811 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, T1 * T2^-16 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 48, 42, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 40, 46, 47, 41, 35, 29, 23, 17, 11, 5)(50, 51, 55, 54, 57, 61, 60, 63, 67, 66, 69, 73, 72, 75, 79, 78, 81, 85, 84, 87, 91, 90, 93, 97, 96, 94, 98, 95, 88, 92, 89, 82, 86, 83, 76, 80, 77, 70, 74, 71, 64, 68, 65, 58, 62, 59, 52, 56, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.826
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.812 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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^-3, T2 * T1 * T2^11, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 44, 36, 28, 20, 12, 4, 10, 18, 26, 34, 42, 48, 49, 43, 35, 27, 19, 11, 6, 14, 22, 30, 38, 46, 47, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 45, 37, 29, 21, 13, 5)(50, 51, 55, 59, 52, 56, 63, 67, 58, 64, 71, 75, 66, 72, 79, 83, 74, 80, 87, 91, 82, 88, 95, 97, 90, 94, 96, 98, 93, 86, 89, 92, 85, 78, 81, 84, 77, 70, 73, 76, 69, 62, 65, 68, 61, 54, 57, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.832
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.813 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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, (T2, T1^-1), T1 * T2 * T1^3, T2^-1 * T1 * T2^-11, 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, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 46, 38, 30, 22, 14, 6, 11, 19, 27, 35, 43, 48, 49, 44, 36, 28, 20, 12, 4, 10, 18, 26, 34, 42, 45, 37, 29, 21, 13, 5)(50, 51, 55, 61, 54, 57, 63, 69, 62, 65, 71, 77, 70, 73, 79, 85, 78, 81, 87, 93, 86, 89, 95, 98, 94, 90, 96, 97, 91, 82, 88, 92, 83, 74, 80, 84, 75, 66, 72, 76, 67, 58, 64, 68, 59, 52, 56, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.827
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.814 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T1^-2 * T2^3 * T1 * T2^-1 * T1 * T2^-2, T2^9 * T1^-1 * T2, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 46, 36, 26, 16, 6, 15, 25, 35, 45, 48, 41, 31, 21, 11, 14, 24, 34, 44, 49, 42, 32, 22, 12, 4, 10, 20, 30, 40, 43, 33, 23, 13, 5)(50, 51, 55, 63, 59, 52, 56, 64, 73, 69, 58, 66, 74, 83, 79, 68, 76, 84, 93, 89, 78, 86, 94, 98, 92, 88, 96, 97, 91, 82, 87, 95, 90, 81, 72, 77, 85, 80, 71, 62, 67, 75, 70, 61, 54, 57, 65, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.833
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.815 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T2^-8 * T1^-1 * T2^-2, T2^-1 * T1 * T2^-3 * T1^2 * T2^-5 * T1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 42, 32, 22, 12, 4, 10, 20, 30, 40, 48, 44, 34, 24, 14, 11, 21, 31, 41, 49, 46, 36, 26, 16, 6, 15, 25, 35, 45, 47, 38, 28, 18, 8, 2, 7, 17, 27, 37, 43, 33, 23, 13, 5)(50, 51, 55, 63, 61, 54, 57, 65, 73, 71, 62, 67, 75, 83, 81, 72, 77, 85, 93, 91, 82, 87, 95, 97, 88, 92, 96, 98, 89, 78, 86, 94, 90, 79, 68, 76, 84, 80, 69, 58, 66, 74, 70, 59, 52, 56, 64, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.829
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.816 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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), T1^3 * T2 * T1^3, T2^-8 * T1, T1 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * 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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-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, 31, 30, 18, 8, 2, 7, 17, 29, 41, 40, 28, 16, 6, 15, 27, 39, 47, 46, 38, 26, 14, 22, 34, 43, 48, 49, 44, 35, 23, 11, 21, 33, 42, 45, 36, 24, 12, 4, 10, 20, 32, 37, 25, 13, 5)(50, 51, 55, 63, 72, 61, 54, 57, 65, 75, 84, 73, 62, 67, 77, 87, 93, 85, 74, 79, 89, 95, 98, 94, 86, 80, 90, 96, 97, 91, 81, 68, 78, 88, 92, 82, 69, 58, 66, 76, 83, 70, 59, 52, 56, 64, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.831
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.817 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1 * T2^4, T1^-3 * T2 * T1^-6, T1 * T2^-1 * T1 * T2^-2 * T1^2 * T2^-3 * T1, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 37, 42, 46, 32, 18, 8, 2, 7, 17, 31, 38, 22, 36, 49, 45, 30, 16, 6, 15, 29, 39, 23, 11, 21, 35, 48, 44, 28, 14, 27, 40, 24, 12, 4, 10, 20, 34, 47, 43, 26, 41, 25, 13, 5)(50, 51, 55, 63, 75, 91, 85, 70, 59, 52, 56, 64, 76, 90, 95, 98, 84, 69, 58, 66, 78, 89, 74, 81, 94, 97, 83, 68, 80, 88, 73, 62, 67, 79, 93, 96, 82, 87, 72, 61, 54, 57, 65, 77, 92, 86, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.835
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.818 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T1)^2, (F * T2)^2, T1^2 * T2^-2 * T1^2 * T2^-3, T1^-2 * T2^2 * T1^3 * T2^-2 * T1^-1, T1^5 * T2 * T1^4, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^-4 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 26, 43, 49, 40, 24, 12, 4, 10, 20, 34, 28, 14, 27, 44, 48, 39, 23, 11, 21, 35, 30, 16, 6, 15, 29, 45, 47, 38, 22, 36, 32, 18, 8, 2, 7, 17, 31, 46, 42, 37, 41, 25, 13, 5)(50, 51, 55, 63, 75, 91, 87, 72, 61, 54, 57, 65, 77, 82, 95, 96, 88, 73, 62, 67, 79, 83, 68, 80, 94, 97, 89, 74, 81, 84, 69, 58, 66, 78, 93, 98, 90, 85, 70, 59, 52, 56, 64, 76, 92, 86, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.834
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.819 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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, (T1^-1, T2^-1), (F * T1)^2, T2^3 * T1 * T2 * T1^2, T1^-10 * T2^3, T2^15 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 49, 44, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 48, 43, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 47, 42, 45, 36, 27, 14, 25, 13, 5)(50, 51, 55, 63, 75, 83, 91, 95, 87, 79, 68, 72, 61, 54, 57, 65, 76, 84, 92, 96, 88, 80, 69, 58, 66, 73, 62, 67, 77, 85, 93, 97, 89, 81, 70, 59, 52, 56, 64, 74, 78, 86, 94, 98, 90, 82, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.836
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.820 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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, (T2^-1, T1^-1), (F * T1)^2, T2 * T1^-1 * T2^2 * T1^-1, T1^8 * T2 * T1 * T2 * T1^6, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 46, 44, 48, 41, 43, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 45, 47, 49, 42, 35, 37, 30, 23, 25, 18, 11, 13, 5)(50, 51, 55, 63, 69, 75, 81, 87, 93, 98, 92, 86, 80, 74, 68, 62, 59, 52, 56, 64, 70, 76, 82, 88, 94, 97, 91, 85, 79, 73, 67, 61, 54, 57, 58, 65, 71, 77, 83, 89, 95, 96, 90, 84, 78, 72, 66, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.840
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.821 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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, (T2, T1^-1), T2^-1 * T1^-1 * T2^-2 * T1^-1, T1^14 * T2^-1 * T1 * T2^-1, T1^-1 * T2^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 47, 49, 45, 38, 40, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 43, 48, 44, 46, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(50, 51, 55, 63, 69, 75, 81, 87, 93, 96, 90, 84, 78, 72, 66, 58, 61, 54, 57, 64, 70, 76, 82, 88, 94, 97, 91, 85, 79, 73, 67, 59, 52, 56, 62, 65, 71, 77, 83, 89, 95, 98, 92, 86, 80, 74, 68, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.837
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.822 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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), T2^2 * T1^-1 * T2 * T1^-4, T1^-2 * T2^-1 * T1^-1 * T2^-7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 44, 34, 22, 30, 16, 6, 15, 29, 40, 46, 36, 24, 12, 4, 10, 20, 26, 38, 48, 49, 42, 32, 18, 8, 2, 7, 17, 31, 41, 45, 35, 23, 11, 21, 28, 14, 27, 39, 47, 37, 25, 13, 5)(50, 51, 55, 63, 75, 68, 80, 89, 96, 98, 93, 84, 73, 62, 67, 79, 70, 59, 52, 56, 64, 76, 87, 82, 90, 95, 86, 91, 83, 72, 61, 54, 57, 65, 77, 69, 58, 66, 78, 88, 97, 92, 94, 85, 74, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.839
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.823 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-4 * T2^-1, T1 * T2^-1 * T1 * T2^-7 * T1, T1^2 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 39, 28, 14, 27, 23, 11, 21, 35, 45, 42, 32, 18, 8, 2, 7, 17, 31, 41, 49, 48, 38, 26, 24, 12, 4, 10, 20, 34, 44, 40, 30, 16, 6, 15, 29, 22, 36, 46, 47, 37, 25, 13, 5)(50, 51, 55, 63, 75, 74, 81, 89, 92, 98, 95, 84, 69, 58, 66, 78, 72, 61, 54, 57, 65, 77, 87, 86, 91, 93, 82, 90, 85, 70, 59, 52, 56, 64, 76, 73, 62, 67, 79, 88, 97, 96, 94, 83, 68, 80, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.838
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.824 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {49, 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^-1 * T1^-1 * T2^-4, T1^7 * T2^-1 * T1 * T2^-1 * T1, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 41, 45, 34, 43, 36, 46, 47, 39, 28, 14, 27, 30, 18, 8, 2, 7, 17, 24, 12, 4, 10, 20, 31, 35, 22, 33, 42, 48, 49, 44, 38, 26, 37, 40, 29, 16, 6, 15, 25, 13, 5)(50, 51, 55, 63, 75, 85, 91, 81, 69, 58, 66, 74, 79, 89, 96, 98, 94, 84, 72, 61, 54, 57, 65, 77, 87, 92, 82, 70, 59, 52, 56, 64, 76, 86, 95, 97, 90, 80, 68, 73, 62, 67, 78, 88, 93, 83, 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) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.841
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.825 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1, (F * T2)^2, (F * T1)^2, T1^49, T2^49, (T2^-1 * T1^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 41, 90, 45, 94, 49, 98, 36, 85, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 40, 89, 25, 74, 32, 81, 44, 93, 48, 97, 35, 84, 20, 69, 9, 58, 17, 66, 29, 78, 39, 88, 24, 73, 13, 62, 18, 67, 30, 79, 43, 92, 47, 96, 34, 83, 19, 68, 31, 80, 38, 87, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 42, 91, 46, 95, 33, 82, 37, 86, 22, 71, 11, 60, 4, 53)
	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, 90)(27, 89)(28, 91)(29, 88)(30, 92)(31, 87)(32, 93)(33, 86)(34, 68)(35, 69)(36, 70)(37, 71)(38, 72)(39, 73)(40, 74)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 82)(47, 83)(48, 84)(49, 85)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.809
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.826 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^24, (T2^-1 * T1^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 7, 56, 11, 60, 15, 64, 19, 68, 23, 72, 27, 76, 31, 80, 35, 84, 39, 88, 43, 92, 47, 96, 48, 97, 44, 93, 40, 89, 36, 85, 32, 81, 28, 77, 24, 73, 20, 69, 16, 65, 12, 61, 8, 57, 4, 53, 2, 51, 6, 55, 10, 59, 14, 63, 18, 67, 22, 71, 26, 75, 30, 79, 34, 83, 38, 87, 42, 91, 46, 95, 49, 98, 45, 94, 41, 90, 37, 86, 33, 82, 29, 78, 25, 74, 21, 70, 17, 66, 13, 62, 9, 58, 5, 54)
	L = (1, 51)(2, 52)(3, 55)(4, 50)(5, 53)(6, 56)(7, 59)(8, 54)(9, 57)(10, 60)(11, 63)(12, 58)(13, 61)(14, 64)(15, 67)(16, 62)(17, 65)(18, 68)(19, 71)(20, 66)(21, 69)(22, 72)(23, 75)(24, 70)(25, 73)(26, 76)(27, 79)(28, 74)(29, 77)(30, 80)(31, 83)(32, 78)(33, 81)(34, 84)(35, 87)(36, 82)(37, 85)(38, 88)(39, 91)(40, 86)(41, 89)(42, 92)(43, 95)(44, 90)(45, 93)(46, 96)(47, 98)(48, 94)(49, 97)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.811
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.827 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^16, (T2^-1 * T1^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 15, 64, 21, 70, 27, 76, 33, 82, 39, 88, 45, 94, 46, 95, 40, 89, 34, 83, 28, 77, 22, 71, 16, 65, 10, 59, 4, 53, 6, 55, 12, 61, 18, 67, 24, 73, 30, 79, 36, 85, 42, 91, 48, 97, 49, 98, 44, 93, 38, 87, 32, 81, 26, 75, 20, 69, 14, 63, 8, 57, 2, 51, 7, 56, 13, 62, 19, 68, 25, 74, 31, 80, 37, 86, 43, 92, 47, 96, 41, 90, 35, 84, 29, 78, 23, 72, 17, 66, 11, 60, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 52)(7, 61)(8, 53)(9, 62)(10, 54)(11, 63)(12, 58)(13, 67)(14, 59)(15, 68)(16, 60)(17, 69)(18, 64)(19, 73)(20, 65)(21, 74)(22, 66)(23, 75)(24, 70)(25, 79)(26, 71)(27, 80)(28, 72)(29, 81)(30, 76)(31, 85)(32, 77)(33, 86)(34, 78)(35, 87)(36, 82)(37, 91)(38, 83)(39, 92)(40, 84)(41, 93)(42, 88)(43, 97)(44, 89)(45, 96)(46, 90)(47, 98)(48, 94)(49, 95)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.813
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.828 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, T1 * T2^-16 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 15, 64, 21, 70, 27, 76, 33, 82, 39, 88, 45, 94, 44, 93, 38, 87, 32, 81, 26, 75, 20, 69, 14, 63, 8, 57, 2, 51, 7, 56, 13, 62, 19, 68, 25, 74, 31, 80, 37, 86, 43, 92, 49, 98, 48, 97, 42, 91, 36, 85, 30, 79, 24, 73, 18, 67, 12, 61, 6, 55, 4, 53, 10, 59, 16, 65, 22, 71, 28, 77, 34, 83, 40, 89, 46, 95, 47, 96, 41, 90, 35, 84, 29, 78, 23, 72, 17, 66, 11, 60, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 54)(7, 53)(8, 61)(9, 62)(10, 52)(11, 63)(12, 60)(13, 59)(14, 67)(15, 68)(16, 58)(17, 69)(18, 66)(19, 65)(20, 73)(21, 74)(22, 64)(23, 75)(24, 72)(25, 71)(26, 79)(27, 80)(28, 70)(29, 81)(30, 78)(31, 77)(32, 85)(33, 86)(34, 76)(35, 87)(36, 84)(37, 83)(38, 91)(39, 92)(40, 82)(41, 93)(42, 90)(43, 89)(44, 97)(45, 98)(46, 88)(47, 94)(48, 96)(49, 95)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.808
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.829 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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^-1 * T2 * T1^-3, T2 * T1 * T2^11, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 17, 66, 25, 74, 33, 82, 41, 90, 44, 93, 36, 85, 28, 77, 20, 69, 12, 61, 4, 53, 10, 59, 18, 67, 26, 75, 34, 83, 42, 91, 48, 97, 49, 98, 43, 92, 35, 84, 27, 76, 19, 68, 11, 60, 6, 55, 14, 63, 22, 71, 30, 79, 38, 87, 46, 95, 47, 96, 40, 89, 32, 81, 24, 73, 16, 65, 8, 57, 2, 51, 7, 56, 15, 64, 23, 72, 31, 80, 39, 88, 45, 94, 37, 86, 29, 78, 21, 70, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 59)(7, 63)(8, 60)(9, 64)(10, 52)(11, 53)(12, 54)(13, 65)(14, 67)(15, 71)(16, 68)(17, 72)(18, 58)(19, 61)(20, 62)(21, 73)(22, 75)(23, 79)(24, 76)(25, 80)(26, 66)(27, 69)(28, 70)(29, 81)(30, 83)(31, 87)(32, 84)(33, 88)(34, 74)(35, 77)(36, 78)(37, 89)(38, 91)(39, 95)(40, 92)(41, 94)(42, 82)(43, 85)(44, 86)(45, 96)(46, 97)(47, 98)(48, 90)(49, 93)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.815
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.830 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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, T1^-1), T1 * T2 * T1^3, T2^-1 * T1 * T2^-11, T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 17, 66, 25, 74, 33, 82, 41, 90, 40, 89, 32, 81, 24, 73, 16, 65, 8, 57, 2, 51, 7, 56, 15, 64, 23, 72, 31, 80, 39, 88, 47, 96, 46, 95, 38, 87, 30, 79, 22, 71, 14, 63, 6, 55, 11, 60, 19, 68, 27, 76, 35, 84, 43, 92, 48, 97, 49, 98, 44, 93, 36, 85, 28, 77, 20, 69, 12, 61, 4, 53, 10, 59, 18, 67, 26, 75, 34, 83, 42, 91, 45, 94, 37, 86, 29, 78, 21, 70, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 61)(7, 60)(8, 63)(9, 64)(10, 52)(11, 53)(12, 54)(13, 65)(14, 69)(15, 68)(16, 71)(17, 72)(18, 58)(19, 59)(20, 62)(21, 73)(22, 77)(23, 76)(24, 79)(25, 80)(26, 66)(27, 67)(28, 70)(29, 81)(30, 85)(31, 84)(32, 87)(33, 88)(34, 74)(35, 75)(36, 78)(37, 89)(38, 93)(39, 92)(40, 95)(41, 96)(42, 82)(43, 83)(44, 86)(45, 90)(46, 98)(47, 97)(48, 91)(49, 94)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.810
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.831 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T1^-2 * T2^3 * T1 * T2^-1 * T1 * T2^-2, T2^9 * T1^-1 * T2, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 29, 78, 39, 88, 38, 87, 28, 77, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 27, 76, 37, 86, 47, 96, 46, 95, 36, 85, 26, 75, 16, 65, 6, 55, 15, 64, 25, 74, 35, 84, 45, 94, 48, 97, 41, 90, 31, 80, 21, 70, 11, 60, 14, 63, 24, 73, 34, 83, 44, 93, 49, 98, 42, 91, 32, 81, 22, 71, 12, 61, 4, 53, 10, 59, 20, 69, 30, 79, 40, 89, 43, 92, 33, 82, 23, 72, 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, 59)(15, 73)(16, 60)(17, 74)(18, 75)(19, 76)(20, 58)(21, 61)(22, 62)(23, 77)(24, 69)(25, 83)(26, 70)(27, 84)(28, 85)(29, 86)(30, 68)(31, 71)(32, 72)(33, 87)(34, 79)(35, 93)(36, 80)(37, 94)(38, 95)(39, 96)(40, 78)(41, 81)(42, 82)(43, 88)(44, 89)(45, 98)(46, 90)(47, 97)(48, 91)(49, 92)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.816
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.832 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T2^-8 * T1^-1 * T2^-2, T2^-1 * T1 * T2^-3 * T1^2 * T2^-5 * T1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 29, 78, 39, 88, 42, 91, 32, 81, 22, 71, 12, 61, 4, 53, 10, 59, 20, 69, 30, 79, 40, 89, 48, 97, 44, 93, 34, 83, 24, 73, 14, 63, 11, 60, 21, 70, 31, 80, 41, 90, 49, 98, 46, 95, 36, 85, 26, 75, 16, 65, 6, 55, 15, 64, 25, 74, 35, 84, 45, 94, 47, 96, 38, 87, 28, 77, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 27, 76, 37, 86, 43, 92, 33, 82, 23, 72, 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, 61)(15, 60)(16, 73)(17, 74)(18, 75)(19, 76)(20, 58)(21, 59)(22, 62)(23, 77)(24, 71)(25, 70)(26, 83)(27, 84)(28, 85)(29, 86)(30, 68)(31, 69)(32, 72)(33, 87)(34, 81)(35, 80)(36, 93)(37, 94)(38, 95)(39, 92)(40, 78)(41, 79)(42, 82)(43, 96)(44, 91)(45, 90)(46, 97)(47, 98)(48, 88)(49, 89)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.812
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.833 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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), T1^3 * T2 * T1^3, T2^-8 * T1, T1 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * 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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-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, 50, 3, 52, 9, 58, 19, 68, 31, 80, 30, 79, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 29, 78, 41, 90, 40, 89, 28, 77, 16, 65, 6, 55, 15, 64, 27, 76, 39, 88, 47, 96, 46, 95, 38, 87, 26, 75, 14, 63, 22, 71, 34, 83, 43, 92, 48, 97, 49, 98, 44, 93, 35, 84, 23, 72, 11, 60, 21, 70, 33, 82, 42, 91, 45, 94, 36, 85, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 32, 81, 37, 86, 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, 72)(15, 71)(16, 75)(17, 76)(18, 77)(19, 78)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 79)(26, 84)(27, 83)(28, 87)(29, 88)(30, 89)(31, 90)(32, 68)(33, 69)(34, 70)(35, 73)(36, 74)(37, 80)(38, 93)(39, 92)(40, 95)(41, 96)(42, 81)(43, 82)(44, 85)(45, 86)(46, 98)(47, 97)(48, 91)(49, 94)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.814
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.834 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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 * T1 * T2^5, T1^-1 * T2 * T1^-7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 32, 81, 37, 86, 23, 72, 11, 60, 21, 70, 33, 82, 42, 91, 45, 94, 36, 85, 22, 71, 34, 83, 43, 92, 48, 97, 49, 98, 44, 93, 35, 84, 26, 75, 38, 87, 46, 95, 47, 96, 40, 89, 28, 77, 14, 63, 27, 76, 39, 88, 41, 90, 30, 79, 16, 65, 6, 55, 15, 64, 29, 78, 31, 80, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 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, 75)(15, 76)(16, 77)(17, 78)(18, 79)(19, 74)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 80)(26, 83)(27, 87)(28, 84)(29, 88)(30, 89)(31, 90)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(37, 73)(38, 92)(39, 95)(40, 93)(41, 96)(42, 81)(43, 82)(44, 85)(45, 86)(46, 97)(47, 98)(48, 91)(49, 94)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.818
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.835 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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^-1 * T2^-2 * T1 * T2^2, T2^-3 * T1^-1 * T2^-2, T1^-9 * T2^-1 * T1^-1, T1 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1, T1^3 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-2 * T1, 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 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 12, 61, 4, 53, 10, 59, 20, 69, 29, 78, 23, 72, 11, 60, 21, 70, 30, 79, 39, 88, 33, 82, 22, 71, 31, 80, 40, 89, 47, 96, 43, 92, 32, 81, 41, 90, 48, 97, 44, 93, 34, 83, 42, 91, 49, 98, 46, 95, 36, 85, 24, 73, 35, 84, 45, 94, 38, 87, 26, 75, 14, 63, 25, 74, 37, 86, 28, 77, 16, 65, 6, 55, 15, 64, 27, 76, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 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, 73)(15, 74)(16, 75)(17, 76)(18, 77)(19, 62)(20, 58)(21, 59)(22, 60)(23, 61)(24, 83)(25, 84)(26, 85)(27, 86)(28, 87)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 92)(35, 91)(36, 93)(37, 94)(38, 95)(39, 78)(40, 79)(41, 80)(42, 81)(43, 82)(44, 96)(45, 98)(46, 97)(47, 88)(48, 89)(49, 90)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.817
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.836 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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, T1), T2 * T1 * T2^3, T1^-1 * T2 * T1^-11, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 12, 61, 4, 53, 10, 59, 18, 67, 21, 70, 11, 60, 19, 68, 26, 75, 29, 78, 20, 69, 27, 76, 34, 83, 37, 86, 28, 77, 35, 84, 42, 91, 45, 94, 36, 85, 43, 92, 48, 97, 49, 98, 44, 93, 38, 87, 46, 95, 47, 96, 40, 89, 30, 79, 39, 88, 41, 90, 32, 81, 22, 71, 31, 80, 33, 82, 24, 73, 14, 63, 23, 72, 25, 74, 16, 65, 6, 55, 15, 64, 17, 66, 8, 57, 2, 51, 7, 56, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 62)(10, 52)(11, 53)(12, 54)(13, 66)(14, 71)(15, 72)(16, 73)(17, 74)(18, 58)(19, 59)(20, 60)(21, 61)(22, 79)(23, 80)(24, 81)(25, 82)(26, 67)(27, 68)(28, 69)(29, 70)(30, 87)(31, 88)(32, 89)(33, 90)(34, 75)(35, 76)(36, 77)(37, 78)(38, 92)(39, 95)(40, 93)(41, 96)(42, 83)(43, 84)(44, 85)(45, 86)(46, 97)(47, 98)(48, 91)(49, 94)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.819
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.837 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-16 * T2 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 4, 53, 10, 59, 15, 64, 11, 60, 16, 65, 21, 70, 17, 66, 22, 71, 27, 76, 23, 72, 28, 77, 33, 82, 29, 78, 34, 83, 39, 88, 35, 84, 40, 89, 45, 94, 41, 90, 46, 95, 49, 98, 47, 96, 42, 91, 48, 97, 44, 93, 36, 85, 43, 92, 38, 87, 30, 79, 37, 86, 32, 81, 24, 73, 31, 80, 26, 75, 18, 67, 25, 74, 20, 69, 12, 61, 19, 68, 14, 63, 6, 55, 13, 62, 8, 57, 2, 51, 7, 56, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 61)(7, 62)(8, 63)(9, 54)(10, 52)(11, 53)(12, 67)(13, 68)(14, 69)(15, 58)(16, 59)(17, 60)(18, 73)(19, 74)(20, 75)(21, 64)(22, 65)(23, 66)(24, 79)(25, 80)(26, 81)(27, 70)(28, 71)(29, 72)(30, 85)(31, 86)(32, 87)(33, 76)(34, 77)(35, 78)(36, 91)(37, 92)(38, 93)(39, 82)(40, 83)(41, 84)(42, 95)(43, 97)(44, 96)(45, 88)(46, 89)(47, 90)(48, 98)(49, 94)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.821
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.838 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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^-1, T1^-1), (F * T1)^2, T2 * T1^-1 * T2^2 * T1^-1, T1^8 * T2 * T1 * T2 * T1^6, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 6, 55, 15, 64, 22, 71, 20, 69, 27, 76, 34, 83, 32, 81, 39, 88, 46, 95, 44, 93, 48, 97, 41, 90, 43, 92, 36, 85, 29, 78, 31, 80, 24, 73, 17, 66, 19, 68, 12, 61, 4, 53, 10, 59, 8, 57, 2, 51, 7, 56, 16, 65, 14, 63, 21, 70, 28, 77, 26, 75, 33, 82, 40, 89, 38, 87, 45, 94, 47, 96, 49, 98, 42, 91, 35, 84, 37, 86, 30, 79, 23, 72, 25, 74, 18, 67, 11, 60, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 58)(9, 65)(10, 52)(11, 53)(12, 54)(13, 59)(14, 69)(15, 70)(16, 71)(17, 60)(18, 61)(19, 62)(20, 75)(21, 76)(22, 77)(23, 66)(24, 67)(25, 68)(26, 81)(27, 82)(28, 83)(29, 72)(30, 73)(31, 74)(32, 87)(33, 88)(34, 89)(35, 78)(36, 79)(37, 80)(38, 93)(39, 94)(40, 95)(41, 84)(42, 85)(43, 86)(44, 98)(45, 97)(46, 96)(47, 90)(48, 91)(49, 92)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.823
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.839 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 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), T2^2 * T1^-1 * T2 * T1^-4, T1^-2 * T2^-1 * T1^-1 * T2^-7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 33, 82, 43, 92, 44, 93, 34, 83, 22, 71, 30, 79, 16, 65, 6, 55, 15, 64, 29, 78, 40, 89, 46, 95, 36, 85, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 26, 75, 38, 87, 48, 97, 49, 98, 42, 91, 32, 81, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 31, 80, 41, 90, 45, 94, 35, 84, 23, 72, 11, 60, 21, 70, 28, 77, 14, 63, 27, 76, 39, 88, 47, 96, 37, 86, 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, 75)(15, 76)(16, 77)(17, 78)(18, 79)(19, 80)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 81)(26, 68)(27, 87)(28, 69)(29, 88)(30, 70)(31, 89)(32, 71)(33, 90)(34, 72)(35, 73)(36, 74)(37, 91)(38, 82)(39, 97)(40, 96)(41, 95)(42, 83)(43, 94)(44, 84)(45, 85)(46, 86)(47, 98)(48, 92)(49, 93)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.822
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.840 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-4 * T2^-1, T1 * T2^-1 * T1 * T2^-7 * T1, T1^2 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 33, 82, 43, 92, 39, 88, 28, 77, 14, 63, 27, 76, 23, 72, 11, 60, 21, 70, 35, 84, 45, 94, 42, 91, 32, 81, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 31, 80, 41, 90, 49, 98, 48, 97, 38, 87, 26, 75, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 34, 83, 44, 93, 40, 89, 30, 79, 16, 65, 6, 55, 15, 64, 29, 78, 22, 71, 36, 85, 46, 95, 47, 96, 37, 86, 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, 75)(15, 76)(16, 77)(17, 78)(18, 79)(19, 80)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 81)(26, 74)(27, 73)(28, 87)(29, 72)(30, 88)(31, 71)(32, 89)(33, 90)(34, 68)(35, 69)(36, 70)(37, 91)(38, 86)(39, 97)(40, 92)(41, 85)(42, 93)(43, 98)(44, 82)(45, 83)(46, 84)(47, 94)(48, 96)(49, 95)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.820
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.841 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {49, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-5, T1^4 * T2^-1 * T1^4 * T2^-2, T1^-49, 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 * T2^3 * T1^-2 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 33, 82, 22, 71, 36, 85, 45, 94, 38, 87, 48, 97, 42, 91, 30, 79, 16, 65, 6, 55, 15, 64, 29, 78, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 34, 83, 43, 92, 37, 86, 46, 95, 40, 89, 26, 75, 39, 88, 32, 81, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 31, 80, 23, 72, 11, 60, 21, 70, 35, 84, 44, 93, 49, 98, 47, 96, 41, 90, 28, 77, 14, 63, 27, 76, 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, 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, 88)(28, 89)(29, 74)(30, 90)(31, 73)(32, 91)(33, 72)(34, 68)(35, 69)(36, 70)(37, 71)(38, 93)(39, 97)(40, 94)(41, 95)(42, 96)(43, 82)(44, 83)(45, 84)(46, 85)(47, 86)(48, 98)(49, 92)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.824
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^24 * Y2, Y2 * Y1^-24 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 10, 59, 14, 63, 18, 67, 22, 71, 26, 75, 30, 79, 34, 83, 38, 87, 42, 91, 46, 95, 48, 97, 44, 93, 40, 89, 36, 85, 32, 81, 28, 77, 24, 73, 20, 69, 16, 65, 12, 61, 8, 57, 3, 52, 5, 54, 7, 56, 11, 60, 15, 64, 19, 68, 23, 72, 27, 76, 31, 80, 35, 84, 39, 88, 43, 92, 47, 96, 49, 98, 45, 94, 41, 90, 37, 86, 33, 82, 29, 78, 25, 74, 21, 70, 17, 66, 13, 62, 9, 58, 4, 53)(99, 148, 101, 150, 102, 151, 106, 155, 107, 156, 110, 159, 111, 160, 114, 163, 115, 164, 118, 167, 119, 168, 122, 171, 123, 172, 126, 175, 127, 176, 130, 179, 131, 180, 134, 183, 135, 184, 138, 187, 139, 188, 142, 191, 143, 192, 146, 195, 147, 196, 144, 193, 145, 194, 140, 189, 141, 190, 136, 185, 137, 186, 132, 181, 133, 182, 128, 177, 129, 178, 124, 173, 125, 174, 120, 169, 121, 170, 116, 165, 117, 166, 112, 161, 113, 162, 108, 157, 109, 158, 104, 153, 105, 154, 100, 149, 103, 152)
	L = (1, 102)(2, 99)(3, 106)(4, 107)(5, 101)(6, 100)(7, 103)(8, 110)(9, 111)(10, 104)(11, 105)(12, 114)(13, 115)(14, 108)(15, 109)(16, 118)(17, 119)(18, 112)(19, 113)(20, 122)(21, 123)(22, 116)(23, 117)(24, 126)(25, 127)(26, 120)(27, 121)(28, 130)(29, 131)(30, 124)(31, 125)(32, 134)(33, 135)(34, 128)(35, 129)(36, 138)(37, 139)(38, 132)(39, 133)(40, 142)(41, 143)(42, 136)(43, 137)(44, 146)(45, 147)(46, 140)(47, 141)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.859
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.843 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, Y3 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2^-1 * Y3^11 * Y2^-1 * Y3^-12, Y1^12 * Y2 * Y1 * Y3^-11, Y2 * Y3^-24, (Y3 * Y2^-1)^49 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 10, 59, 14, 63, 18, 67, 22, 71, 26, 75, 30, 79, 34, 83, 38, 87, 42, 91, 46, 95, 49, 98, 45, 94, 41, 90, 37, 86, 33, 82, 29, 78, 25, 74, 21, 70, 17, 66, 13, 62, 9, 58, 5, 54, 3, 52, 7, 56, 11, 60, 15, 64, 19, 68, 23, 72, 27, 76, 31, 80, 35, 84, 39, 88, 43, 92, 47, 96, 48, 97, 44, 93, 40, 89, 36, 85, 32, 81, 28, 77, 24, 73, 20, 69, 16, 65, 12, 61, 8, 57, 4, 53)(99, 148, 101, 150, 100, 149, 105, 154, 104, 153, 109, 158, 108, 157, 113, 162, 112, 161, 117, 166, 116, 165, 121, 170, 120, 169, 125, 174, 124, 173, 129, 178, 128, 177, 133, 182, 132, 181, 137, 186, 136, 185, 141, 190, 140, 189, 145, 194, 144, 193, 146, 195, 147, 196, 142, 191, 143, 192, 138, 187, 139, 188, 134, 183, 135, 184, 130, 179, 131, 180, 126, 175, 127, 176, 122, 171, 123, 172, 118, 167, 119, 168, 114, 163, 115, 164, 110, 159, 111, 160, 106, 155, 107, 156, 102, 151, 103, 152)
	L = (1, 102)(2, 99)(3, 103)(4, 106)(5, 107)(6, 100)(7, 101)(8, 110)(9, 111)(10, 104)(11, 105)(12, 114)(13, 115)(14, 108)(15, 109)(16, 118)(17, 119)(18, 112)(19, 113)(20, 122)(21, 123)(22, 116)(23, 117)(24, 126)(25, 127)(26, 120)(27, 121)(28, 130)(29, 131)(30, 124)(31, 125)(32, 134)(33, 135)(34, 128)(35, 129)(36, 138)(37, 139)(38, 132)(39, 133)(40, 142)(41, 143)(42, 136)(43, 137)(44, 146)(45, 147)(46, 140)(47, 141)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.870
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.844 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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^-1 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2), (Y3^-1, Y2^-1), Y1^-1 * Y2 * Y3^14 * Y1^-1, Y3 * Y2 * Y3^6 * Y2 * Y1^-5 * Y3^-7 * Y2 * Y3^7 * 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 * 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, 12, 61, 18, 67, 24, 73, 30, 79, 36, 85, 42, 91, 46, 95, 40, 89, 34, 83, 28, 77, 22, 71, 16, 65, 10, 59, 3, 52, 7, 56, 13, 62, 19, 68, 25, 74, 31, 80, 37, 86, 43, 92, 48, 97, 49, 98, 45, 94, 39, 88, 33, 82, 27, 76, 21, 70, 15, 64, 9, 58, 5, 54, 8, 57, 14, 63, 20, 69, 26, 75, 32, 81, 38, 87, 44, 93, 47, 96, 41, 90, 35, 84, 29, 78, 23, 72, 17, 66, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 102, 151, 108, 157, 113, 162, 109, 158, 114, 163, 119, 168, 115, 164, 120, 169, 125, 174, 121, 170, 126, 175, 131, 180, 127, 176, 132, 181, 137, 186, 133, 182, 138, 187, 143, 192, 139, 188, 144, 193, 147, 196, 145, 194, 140, 189, 146, 195, 142, 191, 134, 183, 141, 190, 136, 185, 128, 177, 135, 184, 130, 179, 122, 171, 129, 178, 124, 173, 116, 165, 123, 172, 118, 167, 110, 159, 117, 166, 112, 161, 104, 153, 111, 160, 106, 155, 100, 149, 105, 154, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 107)(6, 100)(7, 101)(8, 103)(9, 113)(10, 114)(11, 115)(12, 104)(13, 105)(14, 106)(15, 119)(16, 120)(17, 121)(18, 110)(19, 111)(20, 112)(21, 125)(22, 126)(23, 127)(24, 116)(25, 117)(26, 118)(27, 131)(28, 132)(29, 133)(30, 122)(31, 123)(32, 124)(33, 137)(34, 138)(35, 139)(36, 128)(37, 129)(38, 130)(39, 143)(40, 144)(41, 145)(42, 134)(43, 135)(44, 136)(45, 147)(46, 140)(47, 142)(48, 141)(49, 146)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.875
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1 * Y2^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2 * Y1^16, 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, 12, 61, 18, 67, 24, 73, 30, 79, 36, 85, 42, 91, 47, 96, 41, 90, 35, 84, 29, 78, 23, 72, 17, 66, 11, 60, 5, 54, 8, 57, 14, 63, 20, 69, 26, 75, 32, 81, 38, 87, 44, 93, 48, 97, 49, 98, 45, 94, 39, 88, 33, 82, 27, 76, 21, 70, 15, 64, 9, 58, 3, 52, 7, 56, 13, 62, 19, 68, 25, 74, 31, 80, 37, 86, 43, 92, 46, 95, 40, 89, 34, 83, 28, 77, 22, 71, 16, 65, 10, 59, 4, 53)(99, 148, 101, 150, 106, 155, 100, 149, 105, 154, 112, 161, 104, 153, 111, 160, 118, 167, 110, 159, 117, 166, 124, 173, 116, 165, 123, 172, 130, 179, 122, 171, 129, 178, 136, 185, 128, 177, 135, 184, 142, 191, 134, 183, 141, 190, 146, 195, 140, 189, 144, 193, 147, 196, 145, 194, 138, 187, 143, 192, 139, 188, 132, 181, 137, 186, 133, 182, 126, 175, 131, 180, 127, 176, 120, 169, 125, 174, 121, 170, 114, 163, 119, 168, 115, 164, 108, 157, 113, 162, 109, 158, 102, 151, 107, 156, 103, 152)
	L = (1, 102)(2, 99)(3, 107)(4, 108)(5, 109)(6, 100)(7, 101)(8, 103)(9, 113)(10, 114)(11, 115)(12, 104)(13, 105)(14, 106)(15, 119)(16, 120)(17, 121)(18, 110)(19, 111)(20, 112)(21, 125)(22, 126)(23, 127)(24, 116)(25, 117)(26, 118)(27, 131)(28, 132)(29, 133)(30, 122)(31, 123)(32, 124)(33, 137)(34, 138)(35, 139)(36, 128)(37, 129)(38, 130)(39, 143)(40, 144)(41, 145)(42, 134)(43, 135)(44, 136)(45, 147)(46, 141)(47, 140)(48, 142)(49, 146)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.868
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, Y2^2 * Y3^-1 * Y2^2, Y1^-12 * Y2, Y3 * Y2 * Y3^4 * Y2 * Y3^5 * Y2 * Y3^5 * Y2 * Y3^5 * Y2 * Y3^5 * Y2 * Y3^5 * Y2 * Y3^5, 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 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^4 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 22, 71, 30, 79, 38, 87, 43, 92, 35, 84, 27, 76, 19, 68, 10, 59, 3, 52, 7, 56, 15, 64, 23, 72, 31, 80, 39, 88, 46, 95, 48, 97, 42, 91, 34, 83, 26, 75, 18, 67, 9, 58, 13, 62, 17, 66, 25, 74, 33, 82, 41, 90, 47, 96, 49, 98, 45, 94, 37, 86, 29, 78, 21, 70, 12, 61, 5, 54, 8, 57, 16, 65, 24, 73, 32, 81, 40, 89, 44, 93, 36, 85, 28, 77, 20, 69, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 110, 159, 102, 151, 108, 157, 116, 165, 119, 168, 109, 158, 117, 166, 124, 173, 127, 176, 118, 167, 125, 174, 132, 181, 135, 184, 126, 175, 133, 182, 140, 189, 143, 192, 134, 183, 141, 190, 146, 195, 147, 196, 142, 191, 136, 185, 144, 193, 145, 194, 138, 187, 128, 177, 137, 186, 139, 188, 130, 179, 120, 169, 129, 178, 131, 180, 122, 171, 112, 161, 121, 170, 123, 172, 114, 163, 104, 153, 113, 162, 115, 164, 106, 155, 100, 149, 105, 154, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 116)(10, 117)(11, 118)(12, 119)(13, 107)(14, 104)(15, 105)(16, 106)(17, 111)(18, 124)(19, 125)(20, 126)(21, 127)(22, 112)(23, 113)(24, 114)(25, 115)(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, 146)(43, 136)(44, 138)(45, 147)(46, 137)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.869
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2^-3, Y2 * Y3^4 * Y2^-1 * Y1^4, Y1^5 * Y2 * Y1^2 * Y3^-5, Y3^4 * Y2^-1 * Y3^6 * Y2^-1 * Y3^5 * Y2^-1 * Y3^5 * Y2^-1 * Y3^5 * Y2^-1 * Y3^5 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 30, 79, 38, 87, 44, 93, 36, 85, 28, 77, 20, 69, 12, 61, 5, 54, 8, 57, 16, 65, 24, 73, 32, 81, 40, 89, 46, 95, 49, 98, 45, 94, 37, 86, 29, 78, 21, 70, 13, 62, 9, 58, 17, 66, 25, 74, 33, 82, 41, 90, 47, 96, 48, 97, 42, 91, 34, 83, 26, 75, 18, 67, 10, 59, 3, 52, 7, 56, 15, 64, 23, 72, 31, 80, 39, 88, 43, 92, 35, 84, 27, 76, 19, 68, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 106, 155, 100, 149, 105, 154, 115, 164, 114, 163, 104, 153, 113, 162, 123, 172, 122, 171, 112, 161, 121, 170, 131, 180, 130, 179, 120, 169, 129, 178, 139, 188, 138, 187, 128, 177, 137, 186, 145, 194, 144, 193, 136, 185, 141, 190, 146, 195, 147, 196, 142, 191, 133, 182, 140, 189, 143, 192, 134, 183, 125, 174, 132, 181, 135, 184, 126, 175, 117, 166, 124, 173, 127, 176, 118, 167, 109, 158, 116, 165, 119, 168, 110, 159, 102, 151, 108, 157, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 111)(10, 116)(11, 117)(12, 118)(13, 119)(14, 104)(15, 105)(16, 106)(17, 107)(18, 124)(19, 125)(20, 126)(21, 127)(22, 112)(23, 113)(24, 114)(25, 115)(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, 146)(43, 137)(44, 136)(45, 147)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.865
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^-3 * Y1^-1 * Y2^-2, Y1^-9 * Y2^-1 * Y1^-1, Y1^3 * Y2^-1 * Y1^3 * Y3^-3 * Y2^2 * Y1, Y1^3 * Y2^-3 * Y1 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 24, 73, 34, 83, 43, 92, 33, 82, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 26, 75, 36, 85, 44, 93, 47, 96, 39, 88, 29, 78, 19, 68, 13, 62, 18, 67, 28, 77, 38, 87, 46, 95, 48, 97, 40, 89, 30, 79, 20, 69, 9, 58, 17, 66, 27, 76, 37, 86, 45, 94, 49, 98, 41, 90, 31, 80, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 25, 74, 35, 84, 42, 91, 32, 81, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 110, 159, 102, 151, 108, 157, 118, 167, 127, 176, 121, 170, 109, 158, 119, 168, 128, 177, 137, 186, 131, 180, 120, 169, 129, 178, 138, 187, 145, 194, 141, 190, 130, 179, 139, 188, 146, 195, 142, 191, 132, 181, 140, 189, 147, 196, 144, 193, 134, 183, 122, 171, 133, 182, 143, 192, 136, 185, 124, 173, 112, 161, 123, 172, 135, 184, 126, 175, 114, 163, 104, 153, 113, 162, 125, 174, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 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, 117)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 145)(40, 146)(41, 147)(42, 133)(43, 132)(44, 134)(45, 135)(46, 136)(47, 142)(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) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 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 E24.867
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y2^-1), (R * Y1)^2, Y2^5 * Y3, Y2 * Y1 * Y3^-1 * Y2^-2 * Y3 * Y1^-1 * Y2, Y3^-4 * Y1^5 * Y2^-1 * Y1, Y3^4 * Y2^2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 24, 73, 34, 83, 40, 89, 30, 79, 20, 69, 10, 59, 3, 52, 7, 56, 15, 64, 25, 74, 35, 84, 44, 93, 47, 96, 39, 88, 29, 78, 19, 68, 9, 58, 17, 66, 27, 76, 37, 86, 45, 94, 49, 98, 43, 92, 33, 82, 23, 72, 13, 62, 18, 67, 28, 77, 38, 87, 46, 95, 48, 97, 42, 91, 32, 81, 22, 71, 12, 61, 5, 54, 8, 57, 16, 65, 26, 75, 36, 85, 41, 90, 31, 80, 21, 70, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 126, 175, 114, 163, 104, 153, 113, 162, 125, 174, 136, 185, 124, 173, 112, 161, 123, 172, 135, 184, 144, 193, 134, 183, 122, 171, 133, 182, 143, 192, 146, 195, 139, 188, 132, 181, 142, 191, 147, 196, 140, 189, 129, 178, 138, 187, 145, 194, 141, 190, 130, 179, 119, 168, 128, 177, 137, 186, 131, 180, 120, 169, 109, 158, 118, 167, 127, 176, 121, 170, 110, 159, 102, 151, 108, 157, 117, 166, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 145)(40, 132)(41, 134)(42, 146)(43, 147)(44, 133)(45, 135)(46, 136)(47, 142)(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) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 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 E24.864
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y2^2 * Y1 * Y2^4, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y3^-2, Y1^2 * Y2^-1 * Y1^2 * Y3^-4, Y1^5 * Y3^-1 * Y2^-1 * Y3^-2, Y2 * Y3^2 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 34, 83, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 38, 87, 43, 92, 33, 82, 20, 69, 9, 58, 17, 66, 29, 78, 39, 88, 46, 95, 48, 97, 42, 91, 32, 81, 19, 68, 25, 74, 31, 80, 41, 90, 47, 96, 49, 98, 45, 94, 37, 86, 24, 73, 13, 62, 18, 67, 30, 79, 40, 89, 44, 93, 36, 85, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 35, 84, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 130, 179, 135, 184, 121, 170, 109, 158, 119, 168, 131, 180, 140, 189, 143, 192, 134, 183, 120, 169, 132, 181, 141, 190, 146, 195, 147, 196, 142, 191, 133, 182, 124, 173, 136, 185, 144, 193, 145, 194, 138, 187, 126, 175, 112, 161, 125, 174, 137, 186, 139, 188, 128, 177, 114, 163, 104, 153, 113, 162, 127, 176, 129, 178, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 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, 133)(23, 134)(24, 135)(25, 117)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 123)(32, 140)(33, 141)(34, 124)(35, 126)(36, 142)(37, 143)(38, 125)(39, 127)(40, 128)(41, 129)(42, 146)(43, 136)(44, 138)(45, 147)(46, 137)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.866
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.851 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1 * Y2^2 * Y3 * Y2^-2, Y1^3 * Y2^-1 * Y1 * Y2^-3 * Y3^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y3^-3 * Y2^-1, Y2^-1 * Y3 * Y2^-8, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y3^-2, Y2^3 * Y3^-2 * Y2^2 * Y1 * Y3^-3, Y1^49, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 33, 82, 45, 94, 47, 96, 38, 87, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 34, 83, 19, 68, 31, 80, 44, 93, 48, 97, 39, 88, 24, 73, 13, 62, 18, 67, 30, 79, 35, 84, 20, 69, 9, 58, 17, 66, 29, 78, 43, 92, 49, 98, 40, 89, 25, 74, 32, 81, 36, 85, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 42, 91, 46, 95, 41, 90, 37, 86, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 131, 180, 144, 193, 138, 187, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 132, 181, 124, 173, 140, 189, 147, 196, 137, 186, 121, 170, 109, 158, 119, 168, 133, 182, 126, 175, 112, 161, 125, 174, 141, 190, 146, 195, 136, 185, 120, 169, 134, 183, 128, 177, 114, 163, 104, 153, 113, 162, 127, 176, 142, 191, 145, 194, 135, 184, 130, 179, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 129, 178, 143, 192, 139, 188, 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, 132)(20, 133)(21, 134)(22, 135)(23, 136)(24, 137)(25, 138)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 123)(33, 124)(34, 126)(35, 128)(36, 130)(37, 139)(38, 145)(39, 146)(40, 147)(41, 144)(42, 125)(43, 127)(44, 129)(45, 131)(46, 140)(47, 143)(48, 142)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.863
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.852 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, Y3^-1 * Y2^3 * Y1^-1 * Y2^-3, Y2^3 * Y1 * Y2 * Y1 * Y3^-3, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-3, Y2^7 * Y1^-1 * Y2^2, Y3^-2 * Y1 * Y2^-3 * Y3^-3 * Y2^-2, Y2^-1 * Y3^2 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 41, 90, 45, 94, 49, 98, 36, 85, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 40, 89, 25, 74, 32, 81, 44, 93, 48, 97, 35, 84, 20, 69, 9, 58, 17, 66, 29, 78, 39, 88, 24, 73, 13, 62, 18, 67, 30, 79, 43, 92, 47, 96, 34, 83, 19, 68, 31, 80, 38, 87, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 42, 91, 46, 95, 33, 82, 37, 86, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 131, 180, 143, 192, 130, 179, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 129, 178, 135, 184, 147, 196, 142, 191, 128, 177, 114, 163, 104, 153, 113, 162, 127, 176, 136, 185, 120, 169, 134, 183, 146, 195, 141, 190, 126, 175, 112, 161, 125, 174, 137, 186, 121, 170, 109, 158, 119, 168, 133, 182, 145, 194, 140, 189, 124, 173, 138, 187, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 132, 181, 144, 193, 139, 188, 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, 132)(20, 133)(21, 134)(22, 135)(23, 136)(24, 137)(25, 138)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 123)(33, 144)(34, 145)(35, 146)(36, 147)(37, 131)(38, 129)(39, 127)(40, 125)(41, 124)(42, 126)(43, 128)(44, 130)(45, 139)(46, 140)(47, 141)(48, 142)(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) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 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 E24.862
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.853 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y2^-4 * Y3^-1 * Y2^4 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-4 * Y3^-1 * Y2^-5, Y2^23 * Y3^2, Y2^-24 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 25, 74, 28, 77, 35, 84, 42, 91, 49, 98, 47, 96, 38, 87, 29, 78, 32, 81, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 24, 73, 13, 62, 18, 67, 27, 76, 34, 83, 41, 90, 44, 93, 46, 95, 37, 86, 40, 89, 31, 80, 20, 69, 9, 58, 17, 66, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 26, 75, 33, 82, 36, 85, 43, 92, 45, 94, 48, 97, 39, 88, 30, 79, 19, 68, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 127, 176, 135, 184, 143, 192, 140, 189, 132, 181, 124, 173, 112, 161, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 128, 177, 136, 185, 144, 193, 141, 190, 133, 182, 125, 174, 114, 163, 104, 153, 113, 162, 121, 170, 109, 158, 119, 168, 129, 178, 137, 186, 145, 194, 142, 191, 134, 183, 126, 175, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 120, 169, 130, 179, 138, 187, 146, 195, 147, 196, 139, 188, 131, 180, 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, 128)(20, 129)(21, 130)(22, 117)(23, 115)(24, 113)(25, 112)(26, 114)(27, 116)(28, 123)(29, 136)(30, 137)(31, 138)(32, 127)(33, 124)(34, 125)(35, 126)(36, 131)(37, 144)(38, 145)(39, 146)(40, 135)(41, 132)(42, 133)(43, 134)(44, 139)(45, 141)(46, 142)(47, 147)(48, 143)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.861
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.854 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), Y2^2 * Y1 * Y3^-2, Y2^-15 * Y1^2, Y3^2 * Y2^-6 * Y1^2 * Y2^-6 * Y1^2 * Y2^-6 * Y1^2 * Y2^-6 * Y1^2 * Y2^-4 * Y1, Y1^49, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^358 * Y3^2 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 13, 62, 15, 64, 20, 69, 25, 74, 27, 76, 32, 81, 37, 86, 39, 88, 44, 93, 49, 98, 47, 96, 40, 89, 42, 91, 35, 84, 28, 77, 30, 79, 23, 72, 16, 65, 18, 67, 10, 59, 3, 52, 7, 56, 12, 61, 5, 54, 8, 57, 14, 63, 19, 68, 21, 70, 26, 75, 31, 80, 33, 82, 38, 87, 43, 92, 45, 94, 46, 95, 48, 97, 41, 90, 34, 83, 36, 85, 29, 78, 22, 71, 24, 73, 17, 66, 9, 58, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 114, 163, 120, 169, 126, 175, 132, 181, 138, 187, 144, 193, 142, 191, 136, 185, 130, 179, 124, 173, 118, 167, 112, 161, 104, 153, 110, 159, 102, 151, 108, 157, 115, 164, 121, 170, 127, 176, 133, 182, 139, 188, 145, 194, 143, 192, 137, 186, 131, 180, 125, 174, 119, 168, 113, 162, 106, 155, 100, 149, 105, 154, 109, 158, 116, 165, 122, 171, 128, 177, 134, 183, 140, 189, 146, 195, 147, 196, 141, 190, 135, 184, 129, 178, 123, 172, 117, 166, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 115)(10, 116)(11, 107)(12, 105)(13, 104)(14, 106)(15, 111)(16, 121)(17, 122)(18, 114)(19, 112)(20, 113)(21, 117)(22, 127)(23, 128)(24, 120)(25, 118)(26, 119)(27, 123)(28, 133)(29, 134)(30, 126)(31, 124)(32, 125)(33, 129)(34, 139)(35, 140)(36, 132)(37, 130)(38, 131)(39, 135)(40, 145)(41, 146)(42, 138)(43, 136)(44, 137)(45, 141)(46, 143)(47, 147)(48, 144)(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, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 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 E24.860
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, Y3^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3, Y2^15 * Y1^2, Y1^49, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-358 * Y3 * Y1^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 9, 58, 15, 64, 20, 69, 22, 71, 27, 76, 32, 81, 34, 83, 39, 88, 44, 93, 46, 95, 48, 97, 43, 92, 41, 90, 36, 85, 31, 80, 29, 78, 24, 73, 19, 68, 17, 66, 12, 61, 5, 54, 8, 57, 10, 59, 3, 52, 7, 56, 14, 63, 16, 65, 21, 70, 26, 75, 28, 77, 33, 82, 38, 87, 40, 89, 45, 94, 49, 98, 47, 96, 42, 91, 37, 86, 35, 84, 30, 79, 25, 74, 23, 72, 18, 67, 13, 62, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 114, 163, 120, 169, 126, 175, 132, 181, 138, 187, 144, 193, 145, 194, 139, 188, 133, 182, 127, 176, 121, 170, 115, 164, 109, 158, 106, 155, 100, 149, 105, 154, 113, 162, 119, 168, 125, 174, 131, 180, 137, 186, 143, 192, 146, 195, 140, 189, 134, 183, 128, 177, 122, 171, 116, 165, 110, 159, 102, 151, 108, 157, 104, 153, 112, 161, 118, 167, 124, 173, 130, 179, 136, 185, 142, 191, 147, 196, 141, 190, 135, 184, 129, 178, 123, 172, 117, 166, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 104)(10, 106)(11, 111)(12, 115)(13, 116)(14, 105)(15, 107)(16, 112)(17, 117)(18, 121)(19, 122)(20, 113)(21, 114)(22, 118)(23, 123)(24, 127)(25, 128)(26, 119)(27, 120)(28, 124)(29, 129)(30, 133)(31, 134)(32, 125)(33, 126)(34, 130)(35, 135)(36, 139)(37, 140)(38, 131)(39, 132)(40, 136)(41, 141)(42, 145)(43, 146)(44, 137)(45, 138)(46, 142)(47, 147)(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) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 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 E24.873
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, Y1 * Y3, Y3 * Y1, Y3 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y3^-5, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-4 * Y2^-1, Y1^6 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3 * Y3^-2 * Y2^-3 * Y3^-1, Y2^2 * Y3 * Y2 * Y3 * Y2^3 * Y3^2 * Y2^3 * Y3^2 * Y2^3 * Y3^2 * Y2^3 * Y3^2 * Y2^3 * Y3^2 * Y2^3 * Y3^2 * Y2^3 * Y3, Y2 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^2 * Y3 * Y1^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 38, 87, 44, 93, 34, 83, 19, 68, 31, 80, 24, 73, 13, 62, 18, 67, 30, 79, 41, 90, 46, 95, 36, 85, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 39, 88, 48, 97, 49, 98, 43, 92, 33, 82, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 40, 89, 45, 94, 35, 84, 20, 69, 9, 58, 17, 66, 29, 78, 25, 74, 32, 81, 42, 91, 47, 96, 37, 86, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 131, 180, 120, 169, 134, 183, 143, 192, 136, 185, 146, 195, 140, 189, 128, 177, 114, 163, 104, 153, 113, 162, 127, 176, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 132, 181, 141, 190, 135, 184, 144, 193, 138, 187, 124, 173, 137, 186, 130, 179, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 129, 178, 121, 170, 109, 158, 119, 168, 133, 182, 142, 191, 147, 196, 145, 194, 139, 188, 126, 175, 112, 161, 125, 174, 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, 132)(20, 133)(21, 134)(22, 135)(23, 131)(24, 129)(25, 127)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 123)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 124)(39, 125)(40, 126)(41, 128)(42, 130)(43, 147)(44, 136)(45, 138)(46, 139)(47, 140)(48, 137)(49, 146)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.874
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2^-1, Y1^-1), Y1 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y2^2 * Y1 * Y2^-2 * Y3, Y2 * Y1^-1 * Y2^2 * Y3 * Y2^2 * Y1^-1, Y3^-2 * Y2 * Y1 * Y2^2 * Y3^-5, Y1^12 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1^18, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 38, 87, 47, 96, 37, 86, 25, 74, 32, 81, 20, 69, 9, 58, 17, 66, 29, 78, 41, 90, 45, 94, 35, 84, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 40, 89, 48, 97, 49, 98, 43, 92, 33, 82, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 39, 88, 46, 95, 36, 85, 24, 73, 13, 62, 18, 67, 30, 79, 19, 68, 31, 80, 42, 91, 44, 93, 34, 83, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 126, 175, 112, 161, 125, 174, 139, 188, 142, 191, 147, 196, 145, 194, 134, 183, 121, 170, 109, 158, 119, 168, 130, 179, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 129, 178, 138, 187, 124, 173, 137, 186, 143, 192, 132, 181, 141, 190, 135, 184, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 128, 177, 114, 163, 104, 153, 113, 162, 127, 176, 140, 189, 146, 195, 136, 185, 144, 193, 133, 182, 120, 169, 131, 180, 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, 128)(20, 130)(21, 131)(22, 132)(23, 133)(24, 134)(25, 135)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 123)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 124)(39, 125)(40, 126)(41, 127)(42, 129)(43, 147)(44, 140)(45, 139)(46, 137)(47, 136)(48, 138)(49, 146)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.872
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2), Y1^3 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y2^2 * Y3^-3 * Y1, Y1 * Y2 * Y1^2 * Y2 * Y3^-2, Y2^-1 * Y1 * Y2^-8 * Y1, Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2, (Y3 * Y2^-1)^49 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 24, 73, 13, 62, 18, 67, 27, 76, 36, 85, 44, 93, 35, 84, 39, 88, 40, 89, 47, 96, 48, 97, 42, 91, 31, 80, 19, 68, 28, 77, 33, 82, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 26, 75, 34, 83, 25, 74, 29, 78, 37, 86, 46, 95, 49, 98, 45, 94, 41, 90, 30, 79, 38, 87, 43, 92, 32, 81, 20, 69, 9, 58, 17, 66, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 128, 177, 138, 187, 135, 184, 125, 174, 114, 163, 104, 153, 113, 162, 120, 169, 131, 180, 141, 190, 146, 195, 147, 196, 142, 191, 132, 181, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 129, 178, 139, 188, 137, 186, 127, 176, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 126, 175, 136, 185, 145, 194, 144, 193, 134, 183, 124, 173, 112, 161, 121, 170, 109, 158, 119, 168, 130, 179, 140, 189, 143, 192, 133, 182, 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, 129)(20, 130)(21, 131)(22, 115)(23, 113)(24, 112)(25, 132)(26, 114)(27, 116)(28, 117)(29, 123)(30, 139)(31, 140)(32, 141)(33, 126)(34, 124)(35, 142)(36, 125)(37, 127)(38, 128)(39, 133)(40, 137)(41, 143)(42, 146)(43, 136)(44, 134)(45, 147)(46, 135)(47, 138)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.871
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^49, (Y3 * Y2^-1)^49, (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, 102, 151, 104, 153, 106, 155, 108, 157, 110, 159, 112, 161, 121, 170, 130, 179, 140, 189, 147, 196, 146, 195, 145, 194, 144, 193, 142, 191, 131, 180, 141, 190, 143, 192, 139, 188, 138, 187, 137, 186, 136, 185, 135, 184, 134, 183, 133, 182, 132, 181, 129, 178, 128, 177, 127, 176, 126, 175, 125, 174, 124, 173, 123, 172, 122, 171, 120, 169, 119, 168, 118, 167, 117, 166, 116, 165, 115, 164, 114, 163, 113, 162, 111, 160, 109, 158, 107, 156, 105, 154, 103, 152, 101, 150)
	L = (1, 101)(2, 99)(3, 103)(4, 100)(5, 105)(6, 102)(7, 107)(8, 104)(9, 109)(10, 106)(11, 111)(12, 108)(13, 113)(14, 110)(15, 114)(16, 115)(17, 116)(18, 117)(19, 118)(20, 119)(21, 120)(22, 122)(23, 112)(24, 123)(25, 124)(26, 125)(27, 126)(28, 127)(29, 128)(30, 129)(31, 132)(32, 121)(33, 142)(34, 133)(35, 134)(36, 135)(37, 136)(38, 137)(39, 138)(40, 139)(41, 143)(42, 130)(43, 131)(44, 144)(45, 141)(46, 145)(47, 146)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.842
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-24, (Y3^-1 * Y1^-1)^49, (Y3 * Y2^-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, 103, 152, 104, 153, 107, 156, 108, 157, 111, 160, 112, 161, 115, 164, 116, 165, 119, 168, 120, 169, 123, 172, 124, 173, 127, 176, 128, 177, 131, 180, 132, 181, 135, 184, 136, 185, 139, 188, 140, 189, 143, 192, 144, 193, 147, 196, 145, 194, 146, 195, 141, 190, 142, 191, 137, 186, 138, 187, 133, 182, 134, 183, 129, 178, 130, 179, 125, 174, 126, 175, 121, 170, 122, 171, 117, 166, 118, 167, 113, 162, 114, 163, 109, 158, 110, 159, 105, 154, 106, 155, 101, 150, 102, 151)
	L = (1, 101)(2, 102)(3, 105)(4, 106)(5, 99)(6, 100)(7, 109)(8, 110)(9, 103)(10, 104)(11, 113)(12, 114)(13, 107)(14, 108)(15, 117)(16, 118)(17, 111)(18, 112)(19, 121)(20, 122)(21, 115)(22, 116)(23, 125)(24, 126)(25, 119)(26, 120)(27, 129)(28, 130)(29, 123)(30, 124)(31, 133)(32, 134)(33, 127)(34, 128)(35, 137)(36, 138)(37, 131)(38, 132)(39, 141)(40, 142)(41, 135)(42, 136)(43, 145)(44, 146)(45, 139)(46, 140)(47, 144)(48, 147)(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 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.854
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 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^-15, (Y2^-1 * Y3)^49, (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, 103, 152, 106, 155, 110, 159, 109, 158, 112, 161, 116, 165, 115, 164, 118, 167, 122, 171, 121, 170, 124, 173, 128, 177, 127, 176, 130, 179, 134, 183, 133, 182, 136, 185, 140, 189, 139, 188, 142, 191, 146, 195, 145, 194, 143, 192, 147, 196, 144, 193, 137, 186, 141, 190, 138, 187, 131, 180, 135, 184, 132, 181, 125, 174, 129, 178, 126, 175, 119, 168, 123, 172, 120, 169, 113, 162, 117, 166, 114, 163, 107, 156, 111, 160, 108, 157, 101, 150, 105, 154, 102, 151)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 102)(7, 111)(8, 100)(9, 113)(10, 114)(11, 103)(12, 104)(13, 117)(14, 106)(15, 119)(16, 120)(17, 109)(18, 110)(19, 123)(20, 112)(21, 125)(22, 126)(23, 115)(24, 116)(25, 129)(26, 118)(27, 131)(28, 132)(29, 121)(30, 122)(31, 135)(32, 124)(33, 137)(34, 138)(35, 127)(36, 128)(37, 141)(38, 130)(39, 143)(40, 144)(41, 133)(42, 134)(43, 147)(44, 136)(45, 142)(46, 145)(47, 139)(48, 140)(49, 146)(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 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.853
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, Y2^-1), Y3 * Y2^4, Y3^-1 * Y2 * Y3^-11, (Y2^-1 * Y3)^49, (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, 110, 159, 103, 152, 106, 155, 112, 161, 118, 167, 111, 160, 114, 163, 120, 169, 126, 175, 119, 168, 122, 171, 128, 177, 134, 183, 127, 176, 130, 179, 136, 185, 142, 191, 135, 184, 138, 187, 144, 193, 147, 196, 143, 192, 139, 188, 145, 194, 146, 195, 140, 189, 131, 180, 137, 186, 141, 190, 132, 181, 123, 172, 129, 178, 133, 182, 124, 173, 115, 164, 121, 170, 125, 174, 116, 165, 107, 156, 113, 162, 117, 166, 108, 157, 101, 150, 105, 154, 109, 158, 102, 151)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 109)(7, 113)(8, 100)(9, 115)(10, 116)(11, 117)(12, 102)(13, 103)(14, 104)(15, 121)(16, 106)(17, 123)(18, 124)(19, 125)(20, 110)(21, 111)(22, 112)(23, 129)(24, 114)(25, 131)(26, 132)(27, 133)(28, 118)(29, 119)(30, 120)(31, 137)(32, 122)(33, 139)(34, 140)(35, 141)(36, 126)(37, 127)(38, 128)(39, 145)(40, 130)(41, 138)(42, 143)(43, 146)(44, 134)(45, 135)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.852
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3^-1 * Y2^-5, Y3^-8 * Y2^-1 * Y3^-2, Y3^-1 * Y2 * Y3^-3 * Y2^2 * Y3^-5 * Y2, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^4, (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, 110, 159, 103, 152, 106, 155, 114, 163, 122, 171, 120, 169, 111, 160, 116, 165, 124, 173, 132, 181, 130, 179, 121, 170, 126, 175, 134, 183, 142, 191, 140, 189, 131, 180, 136, 185, 144, 193, 146, 195, 137, 186, 141, 190, 145, 194, 147, 196, 138, 187, 127, 176, 135, 184, 143, 192, 139, 188, 128, 177, 117, 166, 125, 174, 133, 182, 129, 178, 118, 167, 107, 156, 115, 164, 123, 172, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 109, 158, 102, 151)
	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, 109)(15, 123)(16, 104)(17, 125)(18, 106)(19, 127)(20, 128)(21, 129)(22, 110)(23, 111)(24, 112)(25, 133)(26, 114)(27, 135)(28, 116)(29, 137)(30, 138)(31, 139)(32, 120)(33, 121)(34, 122)(35, 143)(36, 124)(37, 141)(38, 126)(39, 140)(40, 146)(41, 147)(42, 130)(43, 131)(44, 132)(45, 145)(46, 134)(47, 136)(48, 142)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.851
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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), Y3 * Y2^-1 * Y3^5, Y2^4 * Y3 * Y2^4, Y2^3 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^3 * Y2, Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^2, (Y3^-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, 124, 173, 133, 182, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 126, 175, 136, 185, 142, 191, 134, 183, 122, 171, 111, 160, 116, 165, 128, 177, 138, 187, 144, 193, 147, 196, 143, 192, 135, 184, 123, 172, 117, 166, 129, 178, 139, 188, 145, 194, 146, 195, 140, 189, 130, 179, 118, 167, 107, 156, 115, 164, 127, 176, 137, 186, 141, 190, 131, 180, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 125, 174, 132, 181, 120, 169, 109, 158, 102, 151)
	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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.849
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y2^-2 * Y3^5 * Y2^-2, Y2^3 * Y3^-1 * Y2 * Y3^-4, Y2^-2 * Y3^-1 * Y2^-7, (Y2^-1 * Y3)^49, (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, 124, 173, 140, 189, 136, 185, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 126, 175, 131, 180, 144, 193, 145, 194, 137, 186, 122, 171, 111, 160, 116, 165, 128, 177, 132, 181, 117, 166, 129, 178, 143, 192, 146, 195, 138, 187, 123, 172, 130, 179, 133, 182, 118, 167, 107, 156, 115, 164, 127, 176, 142, 191, 147, 196, 139, 188, 134, 183, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 125, 174, 141, 190, 135, 184, 120, 169, 109, 158, 102, 151)
	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, 131)(20, 132)(21, 133)(22, 134)(23, 109)(24, 110)(25, 111)(26, 141)(27, 142)(28, 112)(29, 143)(30, 114)(31, 144)(32, 116)(33, 124)(34, 126)(35, 128)(36, 130)(37, 139)(38, 120)(39, 121)(40, 122)(41, 123)(42, 135)(43, 147)(44, 146)(45, 145)(46, 140)(47, 136)(48, 137)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.847
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^-2 * Y2 * Y3^2, Y3^-3 * Y2^-1 * Y3^-2, Y2^3 * Y3 * Y2^7, Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2^4 * Y3^-2 * Y2, Y2^-3 * 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 * 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, 122, 171, 132, 181, 141, 190, 131, 180, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 124, 173, 134, 183, 142, 191, 145, 194, 137, 186, 127, 176, 117, 166, 111, 160, 116, 165, 126, 175, 136, 185, 144, 193, 146, 195, 138, 187, 128, 177, 118, 167, 107, 156, 115, 164, 125, 174, 135, 184, 143, 192, 147, 196, 139, 188, 129, 178, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 123, 172, 133, 182, 140, 189, 130, 179, 120, 169, 109, 158, 102, 151)
	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, 123)(15, 125)(16, 104)(17, 111)(18, 106)(19, 110)(20, 127)(21, 128)(22, 129)(23, 109)(24, 133)(25, 135)(26, 112)(27, 116)(28, 114)(29, 121)(30, 137)(31, 138)(32, 139)(33, 120)(34, 140)(35, 143)(36, 122)(37, 126)(38, 124)(39, 131)(40, 145)(41, 146)(42, 147)(43, 130)(44, 132)(45, 136)(46, 134)(47, 141)(48, 142)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.850
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y3^-3 * Y2^3, Y3^-9 * Y2^-1, (Y2^-1 * Y3)^49, (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, 124, 173, 131, 180, 143, 192, 145, 194, 136, 185, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 126, 175, 132, 181, 117, 166, 129, 178, 142, 191, 146, 195, 137, 186, 122, 171, 111, 160, 116, 165, 128, 177, 133, 182, 118, 167, 107, 156, 115, 164, 127, 176, 141, 190, 147, 196, 138, 187, 123, 172, 130, 179, 134, 183, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 125, 174, 140, 189, 144, 193, 139, 188, 135, 184, 120, 169, 109, 158, 102, 151)
	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, 131)(20, 132)(21, 133)(22, 134)(23, 109)(24, 110)(25, 111)(26, 140)(27, 141)(28, 112)(29, 142)(30, 114)(31, 143)(32, 116)(33, 144)(34, 124)(35, 126)(36, 128)(37, 130)(38, 120)(39, 121)(40, 122)(41, 123)(42, 147)(43, 146)(44, 145)(45, 139)(46, 138)(47, 135)(48, 136)(49, 137)(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 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.848
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y3^-4 * Y2, Y2^6 * Y3 * Y2^6, Y2^-3 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-2 * Y2^-2 * Y3, (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, 128, 177, 136, 185, 142, 191, 134, 183, 126, 175, 118, 167, 110, 159, 103, 152, 106, 155, 114, 163, 122, 171, 130, 179, 138, 187, 144, 193, 147, 196, 143, 192, 135, 184, 127, 176, 119, 168, 111, 160, 107, 156, 115, 164, 123, 172, 131, 180, 139, 188, 145, 194, 146, 195, 140, 189, 132, 181, 124, 173, 116, 165, 108, 157, 101, 150, 105, 154, 113, 162, 121, 170, 129, 178, 137, 186, 141, 190, 133, 182, 125, 174, 117, 166, 109, 158, 102, 151)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 106)(10, 111)(11, 116)(12, 102)(13, 103)(14, 121)(15, 123)(16, 104)(17, 114)(18, 119)(19, 124)(20, 109)(21, 110)(22, 129)(23, 131)(24, 112)(25, 122)(26, 127)(27, 132)(28, 117)(29, 118)(30, 137)(31, 139)(32, 120)(33, 130)(34, 135)(35, 140)(36, 125)(37, 126)(38, 141)(39, 145)(40, 128)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.845
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y3 * Y2^-1 * Y3^2, Y3^10 * Y2^3, Y3^10 * 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, 117, 166, 126, 175, 133, 182, 140, 189, 143, 192, 145, 194, 138, 187, 131, 180, 128, 177, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 118, 167, 107, 156, 115, 164, 125, 174, 132, 181, 135, 184, 142, 191, 146, 195, 139, 188, 136, 185, 129, 178, 122, 171, 111, 160, 116, 165, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 124, 173, 127, 176, 134, 183, 141, 190, 147, 196, 144, 193, 137, 186, 130, 179, 123, 172, 120, 169, 109, 158, 102, 151)
	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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.846
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^2 * Y2^-1 * Y3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^8 * Y3 * Y2^8, (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, 110, 159, 116, 165, 122, 171, 128, 177, 134, 183, 140, 189, 145, 194, 139, 188, 133, 182, 127, 176, 121, 170, 115, 164, 109, 158, 103, 152, 106, 155, 112, 161, 118, 167, 124, 173, 130, 179, 136, 185, 142, 191, 146, 195, 147, 196, 143, 192, 137, 186, 131, 180, 125, 174, 119, 168, 113, 162, 107, 156, 101, 150, 105, 154, 111, 160, 117, 166, 123, 172, 129, 178, 135, 184, 141, 190, 144, 193, 138, 187, 132, 181, 126, 175, 120, 169, 114, 163, 108, 157, 102, 151)
	L = (1, 101)(2, 105)(3, 106)(4, 107)(5, 99)(6, 111)(7, 112)(8, 100)(9, 103)(10, 113)(11, 102)(12, 117)(13, 118)(14, 104)(15, 109)(16, 119)(17, 108)(18, 123)(19, 124)(20, 110)(21, 115)(22, 125)(23, 114)(24, 129)(25, 130)(26, 116)(27, 121)(28, 131)(29, 120)(30, 135)(31, 136)(32, 122)(33, 127)(34, 137)(35, 126)(36, 141)(37, 142)(38, 128)(39, 133)(40, 143)(41, 132)(42, 144)(43, 146)(44, 134)(45, 139)(46, 147)(47, 138)(48, 140)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.843
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3 * Y2 * Y3^2 * Y2, Y2^6 * Y3^-1 * Y2^9 * Y3^-1, Y2^4 * Y3 * Y2^-6 * Y3^2 * Y2^-6 * Y3^2 * Y2^-6 * Y3^2 * Y2^-6 * Y3^2 * Y2^-6 * Y3, (Y2^-1 * Y3)^49, (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, 118, 167, 124, 173, 130, 179, 136, 185, 142, 191, 145, 194, 139, 188, 133, 182, 127, 176, 121, 170, 115, 164, 107, 156, 110, 159, 103, 152, 106, 155, 113, 162, 119, 168, 125, 174, 131, 180, 137, 186, 143, 192, 146, 195, 140, 189, 134, 183, 128, 177, 122, 171, 116, 165, 108, 157, 101, 150, 105, 154, 111, 160, 114, 163, 120, 169, 126, 175, 132, 181, 138, 187, 144, 193, 147, 196, 141, 190, 135, 184, 129, 178, 123, 172, 117, 166, 109, 158, 102, 151)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 111)(7, 110)(8, 100)(9, 109)(10, 115)(11, 116)(12, 102)(13, 103)(14, 114)(15, 104)(16, 106)(17, 117)(18, 121)(19, 122)(20, 120)(21, 112)(22, 113)(23, 123)(24, 127)(25, 128)(26, 126)(27, 118)(28, 119)(29, 129)(30, 133)(31, 134)(32, 132)(33, 124)(34, 125)(35, 135)(36, 139)(37, 140)(38, 138)(39, 130)(40, 131)(41, 141)(42, 145)(43, 146)(44, 144)(45, 136)(46, 137)(47, 147)(48, 142)(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 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.858
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-4 * Y3^-1, Y3^2 * Y2^-1 * Y3 * Y2^-2 * Y3^5, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^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, 124, 173, 123, 172, 130, 179, 138, 187, 141, 190, 147, 196, 144, 193, 133, 182, 118, 167, 107, 156, 115, 164, 127, 176, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 126, 175, 136, 185, 135, 184, 140, 189, 142, 191, 131, 180, 139, 188, 134, 183, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 125, 174, 122, 171, 111, 160, 116, 165, 128, 177, 137, 186, 146, 195, 145, 194, 143, 192, 132, 181, 117, 166, 129, 178, 120, 169, 109, 158, 102, 151)
	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, 131)(20, 132)(21, 133)(22, 134)(23, 109)(24, 110)(25, 111)(26, 122)(27, 121)(28, 112)(29, 120)(30, 114)(31, 139)(32, 116)(33, 141)(34, 142)(35, 143)(36, 144)(37, 123)(38, 124)(39, 126)(40, 128)(41, 147)(42, 130)(43, 137)(44, 138)(45, 140)(46, 145)(47, 135)(48, 136)(49, 146)(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 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.857
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y3^-2 * Y2 * Y3^-1 * Y2^2 * Y3^-2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-7, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 124, 173, 136, 185, 145, 194, 135, 184, 123, 172, 130, 179, 118, 167, 107, 156, 115, 164, 127, 176, 139, 188, 143, 192, 133, 182, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 126, 175, 138, 187, 146, 195, 147, 196, 141, 190, 131, 180, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 125, 174, 137, 186, 144, 193, 134, 183, 122, 171, 111, 160, 116, 165, 128, 177, 117, 166, 129, 178, 140, 189, 142, 191, 132, 181, 120, 169, 109, 158, 102, 151)
	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, 126)(20, 128)(21, 130)(22, 131)(23, 109)(24, 110)(25, 111)(26, 137)(27, 139)(28, 112)(29, 140)(30, 114)(31, 138)(32, 116)(33, 123)(34, 141)(35, 120)(36, 121)(37, 122)(38, 144)(39, 143)(40, 124)(41, 142)(42, 146)(43, 135)(44, 147)(45, 132)(46, 133)(47, 134)(48, 136)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.855
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^-1 * Y3 * Y2^-4, Y2 * Y3 * Y2 * Y3^8, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^3 * Y2^2, (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, 118, 167, 107, 156, 115, 164, 125, 174, 134, 183, 139, 188, 128, 177, 136, 185, 143, 192, 145, 194, 147, 196, 141, 190, 132, 181, 123, 172, 127, 176, 130, 179, 121, 170, 110, 159, 103, 152, 106, 155, 114, 163, 119, 168, 108, 157, 101, 150, 105, 154, 113, 162, 124, 173, 129, 178, 117, 166, 126, 175, 135, 184, 144, 193, 146, 195, 138, 187, 142, 191, 133, 182, 137, 186, 140, 189, 131, 180, 122, 171, 111, 160, 116, 165, 120, 169, 109, 158, 102, 151)
	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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.856
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {49, 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 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * Y3^5 * Y2^-1 * Y3^-5, Y3^13 * Y2 * Y3 * Y2 * Y3, (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, 107, 156, 113, 162, 118, 167, 120, 169, 125, 174, 130, 179, 132, 181, 137, 186, 142, 191, 144, 193, 146, 195, 141, 190, 139, 188, 134, 183, 129, 178, 127, 176, 122, 171, 117, 166, 115, 164, 110, 159, 103, 152, 106, 155, 108, 157, 101, 150, 105, 154, 112, 161, 114, 163, 119, 168, 124, 173, 126, 175, 131, 180, 136, 185, 138, 187, 143, 192, 147, 196, 145, 194, 140, 189, 135, 184, 133, 182, 128, 177, 123, 172, 121, 170, 116, 165, 111, 160, 109, 158, 102, 151)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 112)(7, 113)(8, 100)(9, 114)(10, 104)(11, 106)(12, 102)(13, 103)(14, 118)(15, 119)(16, 120)(17, 109)(18, 110)(19, 111)(20, 124)(21, 125)(22, 126)(23, 115)(24, 116)(25, 117)(26, 130)(27, 131)(28, 132)(29, 121)(30, 122)(31, 123)(32, 136)(33, 137)(34, 138)(35, 127)(36, 128)(37, 129)(38, 142)(39, 143)(40, 144)(41, 133)(42, 134)(43, 135)(44, 147)(45, 146)(46, 145)(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) :: { ( 98, 98 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.844
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.876 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y1^25 ]
Map::
	R = (1, 52, 2, 55, 5, 59, 9, 63, 13, 67, 17, 71, 21, 75, 25, 79, 29, 83, 33, 87, 37, 91, 41, 95, 45, 98, 48, 94, 44, 90, 40, 86, 36, 82, 32, 78, 28, 74, 24, 70, 20, 66, 16, 62, 12, 58, 8, 54, 4, 51)(3, 57, 7, 61, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 100, 50, 99, 49, 96, 46, 92, 42, 88, 38, 84, 34, 80, 30, 76, 26, 72, 22, 68, 18, 64, 14, 60, 10, 56, 6, 53)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 49)(48, 50)(51, 53)(52, 56)(54, 57)(55, 60)(58, 61)(59, 64)(62, 65)(63, 68)(66, 69)(67, 72)(70, 73)(71, 76)(74, 77)(75, 80)(78, 81)(79, 84)(82, 85)(83, 88)(86, 89)(87, 92)(90, 93)(91, 96)(94, 97)(95, 99)(98, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.877 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^5 * Y2, (Y3 * Y2)^5, Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2, Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 73, 23, 62, 12, 68, 18, 77, 27, 86, 36, 94, 44, 85, 35, 89, 39, 96, 46, 99, 49, 92, 42, 83, 33, 88, 38, 90, 40, 81, 31, 70, 20, 60, 10, 67, 17, 75, 25, 63, 13, 55, 5, 51)(3, 59, 9, 69, 19, 80, 30, 78, 28, 71, 21, 82, 32, 91, 41, 98, 48, 97, 47, 93, 43, 100, 50, 95, 45, 87, 37, 79, 29, 74, 24, 84, 34, 76, 26, 66, 16, 58, 8, 54, 4, 61, 11, 72, 22, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 22)(16, 27)(17, 28)(20, 32)(24, 35)(25, 30)(26, 36)(29, 39)(31, 41)(33, 43)(34, 44)(37, 46)(38, 47)(40, 48)(42, 50)(45, 49)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 70)(62, 74)(63, 72)(64, 76)(65, 75)(68, 79)(69, 81)(71, 83)(73, 84)(77, 87)(78, 88)(80, 90)(82, 92)(85, 93)(86, 95)(89, 97)(91, 99)(94, 100)(96, 98)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.880
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.878 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|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^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-5 * Y3 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 60, 10, 67, 17, 74, 24, 81, 31, 77, 27, 83, 33, 90, 40, 97, 47, 93, 43, 96, 46, 99, 49, 94, 44, 87, 37, 80, 30, 84, 34, 78, 28, 71, 21, 62, 12, 68, 18, 63, 13, 55, 5, 51)(3, 59, 9, 66, 16, 58, 8, 54, 4, 61, 11, 70, 20, 76, 26, 72, 22, 79, 29, 86, 36, 92, 42, 88, 38, 95, 45, 100, 50, 98, 48, 91, 41, 85, 35, 89, 39, 82, 32, 75, 25, 69, 19, 73, 23, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 23)(17, 25)(20, 28)(22, 30)(24, 32)(26, 34)(27, 35)(29, 37)(31, 39)(33, 41)(36, 44)(38, 46)(40, 48)(42, 49)(43, 45)(47, 50)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 64)(62, 72)(63, 70)(65, 74)(68, 76)(69, 77)(71, 79)(73, 81)(75, 83)(78, 86)(80, 88)(82, 90)(84, 92)(85, 93)(87, 95)(89, 97)(91, 96)(94, 100)(98, 99)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.885
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.879 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-8 * Y3 * Y2, Y1^-3 * Y3 * Y2 * Y1^-5, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 76, 26, 88, 38, 85, 35, 73, 23, 62, 12, 68, 18, 80, 30, 92, 42, 98, 48, 100, 50, 95, 45, 83, 33, 70, 20, 60, 10, 67, 17, 79, 29, 91, 41, 87, 37, 75, 25, 63, 13, 55, 5, 51)(3, 59, 9, 69, 19, 82, 32, 94, 44, 99, 49, 93, 43, 81, 31, 71, 21, 74, 24, 86, 36, 96, 46, 97, 47, 90, 40, 78, 28, 66, 16, 58, 8, 54, 4, 61, 11, 72, 22, 84, 34, 89, 39, 77, 27, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 24)(22, 35)(25, 32)(26, 39)(28, 42)(29, 43)(33, 36)(34, 38)(37, 44)(40, 48)(41, 49)(45, 46)(47, 50)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 70)(62, 74)(63, 72)(64, 78)(65, 79)(68, 71)(69, 83)(73, 86)(75, 84)(76, 90)(77, 91)(80, 81)(82, 95)(85, 96)(87, 89)(88, 97)(92, 93)(94, 100)(98, 99)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.881
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.880 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, R * Y3 * R * Y2, Y2 * Y1^5 * Y3, (Y3 * Y2)^5, Y3 * Y1^3 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 70, 20, 60, 10, 67, 17, 77, 27, 86, 36, 90, 40, 81, 31, 88, 38, 96, 46, 100, 50, 94, 44, 85, 35, 89, 39, 92, 42, 83, 33, 73, 23, 62, 12, 68, 18, 75, 25, 63, 13, 55, 5, 51)(3, 59, 9, 69, 19, 66, 16, 58, 8, 54, 4, 61, 11, 72, 22, 82, 32, 79, 29, 74, 24, 84, 34, 93, 43, 99, 49, 97, 47, 91, 41, 98, 48, 95, 45, 87, 37, 78, 28, 71, 21, 80, 30, 76, 26, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 25)(17, 28)(20, 30)(22, 33)(24, 35)(27, 37)(29, 39)(31, 41)(32, 42)(34, 44)(36, 45)(38, 47)(40, 48)(43, 50)(46, 49)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 70)(62, 74)(63, 72)(64, 69)(65, 77)(68, 79)(71, 81)(73, 84)(75, 82)(76, 86)(78, 88)(80, 90)(83, 93)(85, 91)(87, 96)(89, 97)(92, 99)(94, 98)(95, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.877
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.881 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y2)^2, (Y1 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y2, Y1 * Y3 * Y1^-3 * Y2 * Y3 * Y1^-1 * Y2, (Y3 * Y2)^5, Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, Y1^2 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 76, 26, 86, 36, 95, 45, 98, 48, 88, 38, 73, 23, 62, 12, 68, 18, 80, 30, 84, 34, 70, 20, 60, 10, 67, 17, 79, 29, 93, 43, 100, 50, 90, 40, 91, 41, 75, 25, 63, 13, 55, 5, 51)(3, 59, 9, 69, 19, 83, 33, 82, 32, 74, 24, 89, 39, 99, 49, 94, 44, 81, 31, 71, 21, 85, 35, 78, 28, 66, 16, 58, 8, 54, 4, 61, 11, 72, 22, 87, 37, 97, 47, 96, 46, 92, 42, 77, 27, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 34)(29, 44)(32, 41)(36, 46)(37, 48)(39, 50)(43, 49)(45, 47)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 70)(62, 74)(63, 72)(64, 78)(65, 79)(68, 82)(69, 84)(71, 86)(73, 89)(75, 87)(76, 85)(77, 93)(80, 83)(81, 95)(88, 99)(90, 96)(91, 97)(92, 100)(94, 98)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.879
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.882 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1 * Y2 * Y3, Y2 * Y1^-1 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^25 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 60, 10, 64, 14, 68, 18, 72, 22, 76, 26, 80, 30, 84, 34, 88, 38, 92, 42, 96, 46, 99, 49, 95, 45, 91, 41, 87, 37, 83, 33, 79, 29, 75, 25, 71, 21, 67, 17, 63, 13, 59, 9, 55, 5, 51)(3, 58, 8, 62, 12, 66, 16, 70, 20, 74, 24, 78, 28, 82, 32, 86, 36, 90, 40, 94, 44, 98, 48, 100, 50, 97, 47, 93, 43, 89, 39, 85, 35, 81, 31, 77, 27, 73, 23, 69, 19, 65, 15, 61, 11, 57, 7, 54, 4, 53)
	L = (1, 3)(2, 4)(5, 8)(6, 7)(9, 12)(10, 11)(13, 16)(14, 15)(17, 20)(18, 19)(21, 24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31)(33, 36)(34, 35)(37, 40)(38, 39)(41, 44)(42, 43)(45, 48)(46, 47)(49, 50)(51, 54)(52, 57)(53, 55)(56, 61)(58, 59)(60, 65)(62, 63)(64, 69)(66, 67)(68, 73)(70, 71)(72, 77)(74, 75)(76, 81)(78, 79)(80, 85)(82, 83)(84, 89)(86, 87)(88, 93)(90, 91)(92, 97)(94, 95)(96, 100)(98, 99)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.884
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.883 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3, Y3 * Y2 * Y1^2 * Y2 * Y3 * Y1^-2, Y1^-3 * Y2 * Y3 * Y1^-5, 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 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 76, 26, 88, 38, 83, 33, 70, 20, 60, 10, 67, 17, 79, 29, 91, 41, 98, 48, 100, 50, 96, 46, 86, 36, 73, 23, 62, 12, 68, 18, 80, 30, 92, 42, 87, 37, 75, 25, 63, 13, 55, 5, 51)(3, 59, 9, 69, 19, 82, 32, 90, 40, 78, 28, 66, 16, 58, 8, 54, 4, 61, 11, 72, 22, 85, 35, 95, 45, 99, 49, 93, 43, 81, 31, 74, 24, 71, 21, 84, 34, 94, 44, 97, 47, 89, 39, 77, 27, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 24)(20, 34)(22, 36)(25, 32)(26, 39)(28, 42)(29, 31)(33, 44)(35, 46)(37, 40)(38, 47)(41, 43)(45, 50)(48, 49)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 70)(62, 74)(63, 72)(64, 78)(65, 79)(68, 81)(69, 83)(71, 73)(75, 85)(76, 90)(77, 91)(80, 93)(82, 88)(84, 86)(87, 95)(89, 98)(92, 99)(94, 96)(97, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.884 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2, Y1^-10 * Y3 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 72, 22, 80, 30, 88, 38, 96, 46, 94, 44, 86, 36, 78, 28, 70, 20, 62, 12, 60, 10, 67, 17, 75, 25, 83, 33, 91, 41, 99, 49, 95, 45, 87, 37, 79, 29, 71, 21, 63, 13, 55, 5, 51)(3, 59, 9, 68, 18, 76, 26, 84, 34, 92, 42, 100, 50, 98, 48, 90, 40, 82, 32, 74, 24, 66, 16, 58, 8, 54, 4, 61, 11, 69, 19, 77, 27, 85, 35, 93, 43, 97, 47, 89, 39, 81, 31, 73, 23, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 10)(11, 20)(13, 18)(14, 23)(16, 17)(19, 28)(21, 26)(22, 31)(24, 25)(27, 36)(29, 34)(30, 39)(32, 33)(35, 44)(37, 42)(38, 47)(40, 41)(43, 46)(45, 50)(48, 49)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 62)(63, 69)(64, 74)(65, 75)(68, 70)(71, 77)(72, 82)(73, 83)(76, 78)(79, 85)(80, 90)(81, 91)(84, 86)(87, 93)(88, 98)(89, 99)(92, 94)(95, 97)(96, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.882
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.885 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: halfedge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1)^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y1^2 * Y3 * Y1^-7 * Y2, Y3 * Y2 * Y1^-1 * Y3 * Y1^5 * Y2 * Y1^-1, Y1^2 * Y2 * Y1^-2 * Y3 * Y1 * Y2 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 52, 2, 56, 6, 64, 14, 76, 26, 89, 39, 96, 46, 84, 34, 70, 20, 60, 10, 67, 17, 79, 29, 92, 42, 98, 48, 86, 36, 73, 23, 62, 12, 68, 18, 80, 30, 93, 43, 100, 50, 88, 38, 75, 25, 63, 13, 55, 5, 51)(3, 59, 9, 69, 19, 83, 33, 95, 45, 91, 41, 78, 28, 66, 16, 58, 8, 54, 4, 61, 11, 72, 22, 85, 35, 97, 47, 94, 44, 81, 31, 71, 21, 82, 32, 74, 24, 87, 37, 99, 49, 90, 40, 77, 27, 65, 15, 57, 7, 53)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 32)(22, 36)(24, 34)(25, 33)(26, 40)(28, 43)(29, 44)(35, 48)(37, 46)(38, 45)(39, 49)(41, 50)(42, 47)(51, 54)(52, 58)(53, 60)(55, 61)(56, 66)(57, 67)(59, 70)(62, 74)(63, 72)(64, 78)(65, 79)(68, 82)(69, 84)(71, 80)(73, 87)(75, 85)(76, 91)(77, 92)(81, 93)(83, 96)(86, 99)(88, 97)(89, 95)(90, 98)(94, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.878
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.886 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^25 ]
Map::
	R = (1, 51, 3, 53, 7, 57, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 93, 47, 97, 48, 98, 44, 94, 40, 90, 36, 86, 32, 82, 28, 78, 24, 74, 20, 70, 16, 66, 12, 62, 8, 58, 4, 54)(2, 52, 5, 55, 9, 59, 13, 63, 17, 67, 21, 71, 25, 75, 29, 79, 33, 83, 37, 87, 41, 91, 45, 95, 49, 99, 50, 100, 46, 96, 42, 92, 38, 88, 34, 84, 30, 80, 26, 76, 22, 72, 18, 68, 14, 64, 10, 60, 6, 56)(101, 102)(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, 134)(132, 133)(135, 138)(136, 137)(139, 142)(140, 141)(143, 146)(144, 145)(147, 150)(148, 149)(151, 152)(153, 156)(154, 155)(157, 160)(158, 159)(161, 164)(162, 163)(165, 168)(166, 167)(169, 172)(170, 171)(173, 176)(174, 175)(177, 180)(178, 179)(181, 184)(182, 183)(185, 188)(186, 187)(189, 192)(190, 191)(193, 196)(194, 195)(197, 200)(198, 199)
	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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.897
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.887 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 51, 4, 54, 12, 62, 21, 71, 9, 59, 20, 70, 30, 80, 37, 87, 27, 77, 36, 86, 46, 96, 49, 99, 43, 93, 39, 89, 47, 97, 42, 92, 33, 83, 23, 73, 32, 82, 26, 76, 16, 66, 6, 56, 15, 65, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 25, 75, 14, 64, 24, 74, 34, 84, 41, 91, 31, 81, 40, 90, 48, 98, 50, 100, 45, 95, 35, 85, 44, 94, 38, 88, 29, 79, 19, 69, 28, 78, 22, 72, 11, 61, 3, 53, 10, 60, 18, 68, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 114)(110, 121)(111, 120)(112, 118)(113, 117)(115, 125)(116, 124)(119, 127)(122, 130)(123, 131)(126, 134)(128, 137)(129, 136)(132, 141)(133, 140)(135, 143)(138, 146)(139, 145)(142, 148)(144, 149)(147, 150)(151, 153)(152, 156)(154, 161)(155, 160)(157, 166)(158, 165)(159, 169)(162, 172)(163, 168)(164, 173)(167, 176)(170, 179)(171, 178)(174, 183)(175, 182)(177, 185)(180, 188)(181, 189)(184, 192)(186, 195)(187, 194)(190, 193)(191, 197)(196, 200)(198, 199)
	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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.901
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.888 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3 * Y1 * Y3^-4, (Y2 * Y1)^5, Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 51, 4, 54, 12, 62, 24, 74, 21, 71, 9, 59, 20, 70, 34, 84, 44, 94, 42, 92, 31, 81, 41, 91, 49, 99, 47, 97, 38, 88, 26, 76, 37, 87, 40, 90, 29, 79, 16, 66, 6, 56, 15, 65, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 30, 80, 28, 78, 14, 64, 27, 77, 39, 89, 48, 98, 46, 96, 36, 86, 45, 95, 50, 100, 43, 93, 33, 83, 19, 69, 32, 82, 35, 85, 23, 73, 11, 61, 3, 53, 10, 60, 22, 72, 18, 68, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 114)(110, 121)(111, 120)(112, 118)(113, 117)(115, 128)(116, 127)(119, 131)(122, 124)(123, 134)(125, 130)(126, 136)(129, 139)(132, 142)(133, 141)(135, 144)(137, 146)(138, 145)(140, 148)(143, 149)(147, 150)(151, 153)(152, 156)(154, 161)(155, 160)(157, 166)(158, 165)(159, 169)(162, 173)(163, 172)(164, 176)(167, 179)(168, 175)(170, 183)(171, 182)(174, 185)(177, 188)(178, 187)(180, 190)(181, 186)(184, 193)(189, 197)(191, 196)(192, 195)(194, 200)(198, 199)
	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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.902
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.889 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, Y3^7 * Y1 * Y3^-1 * Y2, (Y3 * Y1 * Y2)^25 ]
Map::
	R = (1, 51, 4, 54, 12, 62, 24, 74, 36, 86, 45, 95, 33, 83, 21, 71, 9, 59, 20, 70, 32, 82, 44, 94, 50, 100, 48, 98, 40, 90, 28, 78, 16, 66, 6, 56, 15, 65, 27, 77, 39, 89, 37, 87, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 29, 79, 41, 91, 47, 97, 38, 88, 26, 76, 14, 64, 19, 69, 31, 81, 43, 93, 49, 99, 46, 96, 35, 85, 23, 73, 11, 61, 3, 53, 10, 60, 22, 72, 34, 84, 42, 92, 30, 80, 18, 68, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 114)(110, 121)(111, 120)(112, 118)(113, 117)(115, 126)(116, 119)(122, 133)(123, 132)(124, 130)(125, 129)(127, 138)(128, 131)(134, 145)(135, 144)(136, 142)(137, 141)(139, 147)(140, 143)(146, 150)(148, 149)(151, 153)(152, 156)(154, 161)(155, 160)(157, 166)(158, 165)(159, 169)(162, 173)(163, 172)(164, 170)(167, 178)(168, 177)(171, 181)(174, 185)(175, 184)(176, 182)(179, 190)(180, 189)(183, 193)(186, 196)(187, 192)(188, 194)(191, 198)(195, 199)(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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.900
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.890 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^2 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y2, Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^5, (Y3 * Y1 * Y2)^25 ]
Map::
	R = (1, 51, 4, 54, 12, 62, 24, 74, 37, 87, 49, 99, 39, 89, 26, 76, 21, 71, 9, 59, 20, 70, 34, 84, 46, 96, 42, 92, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 41, 91, 50, 100, 38, 88, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 43, 93, 45, 95, 33, 83, 19, 69, 28, 78, 14, 64, 27, 77, 40, 90, 48, 98, 36, 86, 23, 73, 11, 61, 3, 53, 10, 60, 22, 72, 35, 85, 47, 97, 44, 94, 32, 82, 18, 68, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 114)(110, 121)(111, 120)(112, 118)(113, 117)(115, 128)(116, 127)(119, 129)(122, 126)(123, 134)(124, 132)(125, 131)(130, 140)(133, 141)(135, 139)(136, 146)(137, 144)(138, 143)(142, 148)(145, 150)(147, 149)(151, 153)(152, 156)(154, 161)(155, 160)(157, 166)(158, 165)(159, 169)(162, 173)(163, 172)(164, 176)(167, 180)(168, 179)(170, 183)(171, 178)(174, 186)(175, 185)(177, 189)(181, 192)(182, 191)(184, 195)(187, 198)(188, 197)(190, 199)(193, 196)(194, 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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.898
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.891 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-5 * Y1, (Y2 * Y1)^5, 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 ]
Map::
	R = (1, 51, 4, 54, 12, 62, 24, 74, 16, 66, 6, 56, 15, 65, 29, 79, 40, 90, 38, 88, 26, 76, 37, 87, 47, 97, 49, 99, 42, 92, 31, 81, 41, 91, 44, 94, 34, 84, 21, 71, 9, 59, 20, 70, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 23, 73, 11, 61, 3, 53, 10, 60, 22, 72, 35, 85, 33, 83, 19, 69, 32, 82, 43, 93, 50, 100, 46, 96, 36, 86, 45, 95, 48, 98, 39, 89, 28, 78, 14, 64, 27, 77, 30, 80, 18, 68, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 114)(110, 121)(111, 120)(112, 118)(113, 117)(115, 128)(116, 127)(119, 131)(122, 134)(123, 125)(124, 130)(126, 136)(129, 139)(132, 142)(133, 141)(135, 144)(137, 146)(138, 145)(140, 148)(143, 149)(147, 150)(151, 153)(152, 156)(154, 161)(155, 160)(157, 166)(158, 165)(159, 169)(162, 173)(163, 172)(164, 176)(167, 174)(168, 179)(170, 183)(171, 182)(175, 185)(177, 188)(178, 187)(180, 190)(181, 186)(184, 193)(189, 197)(191, 196)(192, 195)(194, 200)(198, 199)
	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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.899
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.892 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y3^2)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^4, (Y1 * Y2)^5, Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^3 * Y1 * Y2, (Y3 * Y1 * Y2)^25 ]
Map::
	R = (1, 51, 4, 54, 12, 62, 24, 74, 40, 90, 26, 76, 43, 93, 49, 99, 37, 87, 21, 71, 9, 59, 20, 70, 36, 86, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 45, 95, 47, 97, 33, 83, 41, 91, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 35, 85, 19, 69, 34, 84, 48, 98, 44, 94, 28, 78, 14, 64, 27, 77, 39, 89, 23, 73, 11, 61, 3, 53, 10, 60, 22, 72, 38, 88, 50, 100, 42, 92, 46, 96, 32, 82, 18, 68, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 114)(110, 121)(111, 120)(112, 118)(113, 117)(115, 128)(116, 127)(119, 133)(122, 137)(123, 136)(124, 132)(125, 131)(126, 142)(129, 144)(130, 139)(134, 147)(135, 141)(138, 149)(140, 146)(143, 150)(145, 148)(151, 153)(152, 156)(154, 161)(155, 160)(157, 166)(158, 165)(159, 169)(162, 173)(163, 172)(164, 176)(167, 180)(168, 179)(170, 185)(171, 184)(174, 189)(175, 188)(177, 190)(178, 193)(181, 186)(182, 195)(183, 192)(187, 198)(191, 200)(194, 199)(196, 197)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.904
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.893 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^11 * Y1, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * 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, 51, 4, 54, 12, 62, 20, 70, 28, 78, 36, 86, 44, 94, 49, 99, 41, 91, 33, 83, 25, 75, 17, 67, 9, 59, 6, 56, 14, 64, 22, 72, 30, 80, 38, 88, 46, 96, 45, 95, 37, 87, 29, 79, 21, 71, 13, 63, 5, 55)(2, 52, 7, 57, 15, 65, 23, 73, 31, 81, 39, 89, 47, 97, 50, 100, 43, 93, 35, 85, 27, 77, 19, 69, 11, 61, 3, 53, 10, 60, 18, 68, 26, 76, 34, 84, 42, 92, 48, 98, 40, 90, 32, 82, 24, 74, 16, 66, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 111)(110, 117)(112, 116)(113, 115)(114, 119)(118, 125)(120, 124)(121, 123)(122, 127)(126, 133)(128, 132)(129, 131)(130, 135)(134, 141)(136, 140)(137, 139)(138, 143)(142, 149)(144, 148)(145, 147)(146, 150)(151, 153)(152, 156)(154, 161)(155, 160)(157, 159)(158, 164)(162, 169)(163, 168)(165, 167)(166, 172)(170, 177)(171, 176)(173, 175)(174, 180)(178, 185)(179, 184)(181, 183)(182, 188)(186, 193)(187, 192)(189, 191)(190, 196)(194, 200)(195, 198)(197, 199)
	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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.903
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.894 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-10 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 51, 4, 54, 12, 62, 20, 70, 28, 78, 36, 86, 44, 94, 46, 96, 38, 88, 30, 80, 22, 72, 14, 64, 6, 56, 9, 59, 17, 67, 25, 75, 33, 83, 41, 91, 49, 99, 45, 95, 37, 87, 29, 79, 21, 71, 13, 63, 5, 55)(2, 52, 7, 57, 15, 65, 23, 73, 31, 81, 39, 89, 47, 97, 43, 93, 35, 85, 27, 77, 19, 69, 11, 61, 3, 53, 10, 60, 18, 68, 26, 76, 34, 84, 42, 92, 50, 100, 48, 98, 40, 90, 32, 82, 24, 74, 16, 66, 8, 58)(101, 102)(103, 109)(104, 108)(105, 107)(106, 110)(111, 117)(112, 116)(113, 115)(114, 118)(119, 125)(120, 124)(121, 123)(122, 126)(127, 133)(128, 132)(129, 131)(130, 134)(135, 141)(136, 140)(137, 139)(138, 142)(143, 149)(144, 148)(145, 147)(146, 150)(151, 153)(152, 156)(154, 161)(155, 160)(157, 164)(158, 159)(162, 169)(163, 168)(165, 172)(166, 167)(170, 177)(171, 176)(173, 180)(174, 175)(178, 185)(179, 184)(181, 188)(182, 183)(186, 193)(187, 192)(189, 196)(190, 191)(194, 197)(195, 200)(198, 199)
	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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.906
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.895 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3, Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^25 ]
Map::
	R = (1, 51, 4, 54, 8, 58, 12, 62, 16, 66, 20, 70, 24, 74, 28, 78, 32, 82, 36, 86, 40, 90, 44, 94, 48, 98, 49, 99, 45, 95, 41, 91, 37, 87, 33, 83, 29, 79, 25, 75, 21, 71, 17, 67, 13, 63, 9, 59, 5, 55)(2, 52, 3, 53, 7, 57, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 93, 47, 97, 50, 100, 46, 96, 42, 92, 38, 88, 34, 84, 30, 80, 26, 76, 22, 72, 18, 68, 14, 64, 10, 60, 6, 56)(101, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 121)(120, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 133)(132, 134)(135, 137)(136, 138)(139, 141)(140, 142)(143, 145)(144, 146)(147, 149)(148, 150)(151, 153)(152, 154)(155, 157)(156, 158)(159, 161)(160, 162)(163, 165)(164, 166)(167, 169)(168, 170)(171, 173)(172, 174)(175, 177)(176, 178)(179, 181)(180, 182)(183, 185)(184, 186)(187, 189)(188, 190)(191, 193)(192, 194)(195, 197)(196, 198)(199, 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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.905
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.896 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 25, 25})
Quotient :: edge^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2^25, Y1^25 ]
Map:: non-degenerate
	R = (1, 51, 4, 54)(2, 52, 6, 56)(3, 53, 8, 58)(5, 55, 10, 60)(7, 57, 12, 62)(9, 59, 14, 64)(11, 61, 16, 66)(13, 63, 18, 68)(15, 65, 20, 70)(17, 67, 22, 72)(19, 69, 24, 74)(21, 71, 26, 76)(23, 73, 28, 78)(25, 75, 30, 80)(27, 77, 32, 82)(29, 79, 34, 84)(31, 81, 36, 86)(33, 83, 38, 88)(35, 85, 40, 90)(37, 87, 42, 92)(39, 89, 44, 94)(41, 91, 46, 96)(43, 93, 48, 98)(45, 95, 49, 99)(47, 97, 50, 100)(101, 102, 105, 109, 113, 117, 121, 125, 129, 133, 137, 141, 145, 147, 143, 139, 135, 131, 127, 123, 119, 115, 111, 107, 103)(104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 150, 149, 146, 142, 138, 134, 130, 126, 122, 118, 114, 110, 106)(151, 153, 157, 161, 165, 169, 173, 177, 181, 185, 189, 193, 197, 195, 191, 187, 183, 179, 175, 171, 167, 163, 159, 155, 152)(154, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 199, 200, 198, 194, 190, 186, 182, 178, 174, 170, 166, 162, 158)
	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 ), ( 8^25 ) }
Outer automorphisms :: reflexible
Dual of E24.907
Graph:: simple bipartite
	v = 29 e = 100 f = 25
	degree seq :: [ 4^25, 25^4 ]

E24.897 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^25 ]
Map::
	R = (1, 51, 101, 151, 3, 53, 103, 153, 7, 57, 107, 157, 11, 61, 111, 161, 15, 65, 115, 165, 19, 69, 119, 169, 23, 73, 123, 173, 27, 77, 127, 177, 31, 81, 131, 181, 35, 85, 135, 185, 39, 89, 139, 189, 43, 93, 143, 193, 47, 97, 147, 197, 48, 98, 148, 198, 44, 94, 144, 194, 40, 90, 140, 190, 36, 86, 136, 186, 32, 82, 132, 182, 28, 78, 128, 178, 24, 74, 124, 174, 20, 70, 120, 170, 16, 66, 116, 166, 12, 62, 112, 162, 8, 58, 108, 158, 4, 54, 104, 154)(2, 52, 102, 152, 5, 55, 105, 155, 9, 59, 109, 159, 13, 63, 113, 163, 17, 67, 117, 167, 21, 71, 121, 171, 25, 75, 125, 175, 29, 79, 129, 179, 33, 83, 133, 183, 37, 87, 137, 187, 41, 91, 141, 191, 45, 95, 145, 195, 49, 99, 149, 199, 50, 100, 150, 200, 46, 96, 146, 196, 42, 92, 142, 192, 38, 88, 138, 188, 34, 84, 134, 184, 30, 80, 130, 180, 26, 76, 126, 176, 22, 72, 122, 172, 18, 68, 118, 168, 14, 64, 114, 164, 10, 60, 110, 160, 6, 56, 106, 156)
	L = (1, 52)(2, 51)(3, 56)(4, 55)(5, 54)(6, 53)(7, 60)(8, 59)(9, 58)(10, 57)(11, 64)(12, 63)(13, 62)(14, 61)(15, 68)(16, 67)(17, 66)(18, 65)(19, 72)(20, 71)(21, 70)(22, 69)(23, 76)(24, 75)(25, 74)(26, 73)(27, 80)(28, 79)(29, 78)(30, 77)(31, 84)(32, 83)(33, 82)(34, 81)(35, 88)(36, 87)(37, 86)(38, 85)(39, 92)(40, 91)(41, 90)(42, 89)(43, 96)(44, 95)(45, 94)(46, 93)(47, 100)(48, 99)(49, 98)(50, 97)(101, 152)(102, 151)(103, 156)(104, 155)(105, 154)(106, 153)(107, 160)(108, 159)(109, 158)(110, 157)(111, 164)(112, 163)(113, 162)(114, 161)(115, 168)(116, 167)(117, 166)(118, 165)(119, 172)(120, 171)(121, 170)(122, 169)(123, 176)(124, 175)(125, 174)(126, 173)(127, 180)(128, 179)(129, 178)(130, 177)(131, 184)(132, 183)(133, 182)(134, 181)(135, 188)(136, 187)(137, 186)(138, 185)(139, 192)(140, 191)(141, 190)(142, 189)(143, 196)(144, 195)(145, 194)(146, 193)(147, 200)(148, 199)(149, 198)(150, 197)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.886
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.898 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 21, 71, 121, 171, 9, 59, 109, 159, 20, 70, 120, 170, 30, 80, 130, 180, 37, 87, 137, 187, 27, 77, 127, 177, 36, 86, 136, 186, 46, 96, 146, 196, 49, 99, 149, 199, 43, 93, 143, 193, 39, 89, 139, 189, 47, 97, 147, 197, 42, 92, 142, 192, 33, 83, 133, 183, 23, 73, 123, 173, 32, 82, 132, 182, 26, 76, 126, 176, 16, 66, 116, 166, 6, 56, 106, 156, 15, 65, 115, 165, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 17, 67, 117, 167, 25, 75, 125, 175, 14, 64, 114, 164, 24, 74, 124, 174, 34, 84, 134, 184, 41, 91, 141, 191, 31, 81, 131, 181, 40, 90, 140, 190, 48, 98, 148, 198, 50, 100, 150, 200, 45, 95, 145, 195, 35, 85, 135, 185, 44, 94, 144, 194, 38, 88, 138, 188, 29, 79, 129, 179, 19, 69, 119, 169, 28, 78, 128, 178, 22, 72, 122, 172, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 18, 68, 118, 168, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 64)(7, 55)(8, 54)(9, 53)(10, 71)(11, 70)(12, 68)(13, 67)(14, 56)(15, 75)(16, 74)(17, 63)(18, 62)(19, 77)(20, 61)(21, 60)(22, 80)(23, 81)(24, 66)(25, 65)(26, 84)(27, 69)(28, 87)(29, 86)(30, 72)(31, 73)(32, 91)(33, 90)(34, 76)(35, 93)(36, 79)(37, 78)(38, 96)(39, 95)(40, 83)(41, 82)(42, 98)(43, 85)(44, 99)(45, 89)(46, 88)(47, 100)(48, 92)(49, 94)(50, 97)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 166)(108, 165)(109, 169)(110, 155)(111, 154)(112, 172)(113, 168)(114, 173)(115, 158)(116, 157)(117, 176)(118, 163)(119, 159)(120, 179)(121, 178)(122, 162)(123, 164)(124, 183)(125, 182)(126, 167)(127, 185)(128, 171)(129, 170)(130, 188)(131, 189)(132, 175)(133, 174)(134, 192)(135, 177)(136, 195)(137, 194)(138, 180)(139, 181)(140, 193)(141, 197)(142, 184)(143, 190)(144, 187)(145, 186)(146, 200)(147, 191)(148, 199)(149, 198)(150, 196)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.890
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.899 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3 * Y1 * Y3^-4, (Y2 * Y1)^5, Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 24, 74, 124, 174, 21, 71, 121, 171, 9, 59, 109, 159, 20, 70, 120, 170, 34, 84, 134, 184, 44, 94, 144, 194, 42, 92, 142, 192, 31, 81, 131, 181, 41, 91, 141, 191, 49, 99, 149, 199, 47, 97, 147, 197, 38, 88, 138, 188, 26, 76, 126, 176, 37, 87, 137, 187, 40, 90, 140, 190, 29, 79, 129, 179, 16, 66, 116, 166, 6, 56, 106, 156, 15, 65, 115, 165, 25, 75, 125, 175, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 17, 67, 117, 167, 30, 80, 130, 180, 28, 78, 128, 178, 14, 64, 114, 164, 27, 77, 127, 177, 39, 89, 139, 189, 48, 98, 148, 198, 46, 96, 146, 196, 36, 86, 136, 186, 45, 95, 145, 195, 50, 100, 150, 200, 43, 93, 143, 193, 33, 83, 133, 183, 19, 69, 119, 169, 32, 82, 132, 182, 35, 85, 135, 185, 23, 73, 123, 173, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 22, 72, 122, 172, 18, 68, 118, 168, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 64)(7, 55)(8, 54)(9, 53)(10, 71)(11, 70)(12, 68)(13, 67)(14, 56)(15, 78)(16, 77)(17, 63)(18, 62)(19, 81)(20, 61)(21, 60)(22, 74)(23, 84)(24, 72)(25, 80)(26, 86)(27, 66)(28, 65)(29, 89)(30, 75)(31, 69)(32, 92)(33, 91)(34, 73)(35, 94)(36, 76)(37, 96)(38, 95)(39, 79)(40, 98)(41, 83)(42, 82)(43, 99)(44, 85)(45, 88)(46, 87)(47, 100)(48, 90)(49, 93)(50, 97)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 166)(108, 165)(109, 169)(110, 155)(111, 154)(112, 173)(113, 172)(114, 176)(115, 158)(116, 157)(117, 179)(118, 175)(119, 159)(120, 183)(121, 182)(122, 163)(123, 162)(124, 185)(125, 168)(126, 164)(127, 188)(128, 187)(129, 167)(130, 190)(131, 186)(132, 171)(133, 170)(134, 193)(135, 174)(136, 181)(137, 178)(138, 177)(139, 197)(140, 180)(141, 196)(142, 195)(143, 184)(144, 200)(145, 192)(146, 191)(147, 189)(148, 199)(149, 198)(150, 194)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.891
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.900 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, Y3^7 * Y1 * Y3^-1 * Y2, (Y3 * Y1 * Y2)^25 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 24, 74, 124, 174, 36, 86, 136, 186, 45, 95, 145, 195, 33, 83, 133, 183, 21, 71, 121, 171, 9, 59, 109, 159, 20, 70, 120, 170, 32, 82, 132, 182, 44, 94, 144, 194, 50, 100, 150, 200, 48, 98, 148, 198, 40, 90, 140, 190, 28, 78, 128, 178, 16, 66, 116, 166, 6, 56, 106, 156, 15, 65, 115, 165, 27, 77, 127, 177, 39, 89, 139, 189, 37, 87, 137, 187, 25, 75, 125, 175, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 17, 67, 117, 167, 29, 79, 129, 179, 41, 91, 141, 191, 47, 97, 147, 197, 38, 88, 138, 188, 26, 76, 126, 176, 14, 64, 114, 164, 19, 69, 119, 169, 31, 81, 131, 181, 43, 93, 143, 193, 49, 99, 149, 199, 46, 96, 146, 196, 35, 85, 135, 185, 23, 73, 123, 173, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 22, 72, 122, 172, 34, 84, 134, 184, 42, 92, 142, 192, 30, 80, 130, 180, 18, 68, 118, 168, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 64)(7, 55)(8, 54)(9, 53)(10, 71)(11, 70)(12, 68)(13, 67)(14, 56)(15, 76)(16, 69)(17, 63)(18, 62)(19, 66)(20, 61)(21, 60)(22, 83)(23, 82)(24, 80)(25, 79)(26, 65)(27, 88)(28, 81)(29, 75)(30, 74)(31, 78)(32, 73)(33, 72)(34, 95)(35, 94)(36, 92)(37, 91)(38, 77)(39, 97)(40, 93)(41, 87)(42, 86)(43, 90)(44, 85)(45, 84)(46, 100)(47, 89)(48, 99)(49, 98)(50, 96)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 166)(108, 165)(109, 169)(110, 155)(111, 154)(112, 173)(113, 172)(114, 170)(115, 158)(116, 157)(117, 178)(118, 177)(119, 159)(120, 164)(121, 181)(122, 163)(123, 162)(124, 185)(125, 184)(126, 182)(127, 168)(128, 167)(129, 190)(130, 189)(131, 171)(132, 176)(133, 193)(134, 175)(135, 174)(136, 196)(137, 192)(138, 194)(139, 180)(140, 179)(141, 198)(142, 187)(143, 183)(144, 188)(145, 199)(146, 186)(147, 200)(148, 191)(149, 195)(150, 197)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.889
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.901 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^2 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y2, Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^5, (Y3 * Y1 * Y2)^25 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 24, 74, 124, 174, 37, 87, 137, 187, 49, 99, 149, 199, 39, 89, 139, 189, 26, 76, 126, 176, 21, 71, 121, 171, 9, 59, 109, 159, 20, 70, 120, 170, 34, 84, 134, 184, 46, 96, 146, 196, 42, 92, 142, 192, 30, 80, 130, 180, 16, 66, 116, 166, 6, 56, 106, 156, 15, 65, 115, 165, 29, 79, 129, 179, 41, 91, 141, 191, 50, 100, 150, 200, 38, 88, 138, 188, 25, 75, 125, 175, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 17, 67, 117, 167, 31, 81, 131, 181, 43, 93, 143, 193, 45, 95, 145, 195, 33, 83, 133, 183, 19, 69, 119, 169, 28, 78, 128, 178, 14, 64, 114, 164, 27, 77, 127, 177, 40, 90, 140, 190, 48, 98, 148, 198, 36, 86, 136, 186, 23, 73, 123, 173, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 22, 72, 122, 172, 35, 85, 135, 185, 47, 97, 147, 197, 44, 94, 144, 194, 32, 82, 132, 182, 18, 68, 118, 168, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 64)(7, 55)(8, 54)(9, 53)(10, 71)(11, 70)(12, 68)(13, 67)(14, 56)(15, 78)(16, 77)(17, 63)(18, 62)(19, 79)(20, 61)(21, 60)(22, 76)(23, 84)(24, 82)(25, 81)(26, 72)(27, 66)(28, 65)(29, 69)(30, 90)(31, 75)(32, 74)(33, 91)(34, 73)(35, 89)(36, 96)(37, 94)(38, 93)(39, 85)(40, 80)(41, 83)(42, 98)(43, 88)(44, 87)(45, 100)(46, 86)(47, 99)(48, 92)(49, 97)(50, 95)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 166)(108, 165)(109, 169)(110, 155)(111, 154)(112, 173)(113, 172)(114, 176)(115, 158)(116, 157)(117, 180)(118, 179)(119, 159)(120, 183)(121, 178)(122, 163)(123, 162)(124, 186)(125, 185)(126, 164)(127, 189)(128, 171)(129, 168)(130, 167)(131, 192)(132, 191)(133, 170)(134, 195)(135, 175)(136, 174)(137, 198)(138, 197)(139, 177)(140, 199)(141, 182)(142, 181)(143, 196)(144, 200)(145, 184)(146, 193)(147, 188)(148, 187)(149, 190)(150, 194)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.887
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.902 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-5 * Y1, (Y2 * Y1)^5, 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 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 24, 74, 124, 174, 16, 66, 116, 166, 6, 56, 106, 156, 15, 65, 115, 165, 29, 79, 129, 179, 40, 90, 140, 190, 38, 88, 138, 188, 26, 76, 126, 176, 37, 87, 137, 187, 47, 97, 147, 197, 49, 99, 149, 199, 42, 92, 142, 192, 31, 81, 131, 181, 41, 91, 141, 191, 44, 94, 144, 194, 34, 84, 134, 184, 21, 71, 121, 171, 9, 59, 109, 159, 20, 70, 120, 170, 25, 75, 125, 175, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 17, 67, 117, 167, 23, 73, 123, 173, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 22, 72, 122, 172, 35, 85, 135, 185, 33, 83, 133, 183, 19, 69, 119, 169, 32, 82, 132, 182, 43, 93, 143, 193, 50, 100, 150, 200, 46, 96, 146, 196, 36, 86, 136, 186, 45, 95, 145, 195, 48, 98, 148, 198, 39, 89, 139, 189, 28, 78, 128, 178, 14, 64, 114, 164, 27, 77, 127, 177, 30, 80, 130, 180, 18, 68, 118, 168, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 64)(7, 55)(8, 54)(9, 53)(10, 71)(11, 70)(12, 68)(13, 67)(14, 56)(15, 78)(16, 77)(17, 63)(18, 62)(19, 81)(20, 61)(21, 60)(22, 84)(23, 75)(24, 80)(25, 73)(26, 86)(27, 66)(28, 65)(29, 89)(30, 74)(31, 69)(32, 92)(33, 91)(34, 72)(35, 94)(36, 76)(37, 96)(38, 95)(39, 79)(40, 98)(41, 83)(42, 82)(43, 99)(44, 85)(45, 88)(46, 87)(47, 100)(48, 90)(49, 93)(50, 97)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 166)(108, 165)(109, 169)(110, 155)(111, 154)(112, 173)(113, 172)(114, 176)(115, 158)(116, 157)(117, 174)(118, 179)(119, 159)(120, 183)(121, 182)(122, 163)(123, 162)(124, 167)(125, 185)(126, 164)(127, 188)(128, 187)(129, 168)(130, 190)(131, 186)(132, 171)(133, 170)(134, 193)(135, 175)(136, 181)(137, 178)(138, 177)(139, 197)(140, 180)(141, 196)(142, 195)(143, 184)(144, 200)(145, 192)(146, 191)(147, 189)(148, 199)(149, 198)(150, 194)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.888
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.903 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y3^2)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^4, (Y1 * Y2)^5, Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^3 * Y1 * Y2, (Y3 * Y1 * Y2)^25 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 24, 74, 124, 174, 40, 90, 140, 190, 26, 76, 126, 176, 43, 93, 143, 193, 49, 99, 149, 199, 37, 87, 137, 187, 21, 71, 121, 171, 9, 59, 109, 159, 20, 70, 120, 170, 36, 86, 136, 186, 30, 80, 130, 180, 16, 66, 116, 166, 6, 56, 106, 156, 15, 65, 115, 165, 29, 79, 129, 179, 45, 95, 145, 195, 47, 97, 147, 197, 33, 83, 133, 183, 41, 91, 141, 191, 25, 75, 125, 175, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 17, 67, 117, 167, 31, 81, 131, 181, 35, 85, 135, 185, 19, 69, 119, 169, 34, 84, 134, 184, 48, 98, 148, 198, 44, 94, 144, 194, 28, 78, 128, 178, 14, 64, 114, 164, 27, 77, 127, 177, 39, 89, 139, 189, 23, 73, 123, 173, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 22, 72, 122, 172, 38, 88, 138, 188, 50, 100, 150, 200, 42, 92, 142, 192, 46, 96, 146, 196, 32, 82, 132, 182, 18, 68, 118, 168, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 64)(7, 55)(8, 54)(9, 53)(10, 71)(11, 70)(12, 68)(13, 67)(14, 56)(15, 78)(16, 77)(17, 63)(18, 62)(19, 83)(20, 61)(21, 60)(22, 87)(23, 86)(24, 82)(25, 81)(26, 92)(27, 66)(28, 65)(29, 94)(30, 89)(31, 75)(32, 74)(33, 69)(34, 97)(35, 91)(36, 73)(37, 72)(38, 99)(39, 80)(40, 96)(41, 85)(42, 76)(43, 100)(44, 79)(45, 98)(46, 90)(47, 84)(48, 95)(49, 88)(50, 93)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 166)(108, 165)(109, 169)(110, 155)(111, 154)(112, 173)(113, 172)(114, 176)(115, 158)(116, 157)(117, 180)(118, 179)(119, 159)(120, 185)(121, 184)(122, 163)(123, 162)(124, 189)(125, 188)(126, 164)(127, 190)(128, 193)(129, 168)(130, 167)(131, 186)(132, 195)(133, 192)(134, 171)(135, 170)(136, 181)(137, 198)(138, 175)(139, 174)(140, 177)(141, 200)(142, 183)(143, 178)(144, 199)(145, 182)(146, 197)(147, 196)(148, 187)(149, 194)(150, 191)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.893
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.904 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^11 * Y1, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * 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, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 20, 70, 120, 170, 28, 78, 128, 178, 36, 86, 136, 186, 44, 94, 144, 194, 49, 99, 149, 199, 41, 91, 141, 191, 33, 83, 133, 183, 25, 75, 125, 175, 17, 67, 117, 167, 9, 59, 109, 159, 6, 56, 106, 156, 14, 64, 114, 164, 22, 72, 122, 172, 30, 80, 130, 180, 38, 88, 138, 188, 46, 96, 146, 196, 45, 95, 145, 195, 37, 87, 137, 187, 29, 79, 129, 179, 21, 71, 121, 171, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 15, 65, 115, 165, 23, 73, 123, 173, 31, 81, 131, 181, 39, 89, 139, 189, 47, 97, 147, 197, 50, 100, 150, 200, 43, 93, 143, 193, 35, 85, 135, 185, 27, 77, 127, 177, 19, 69, 119, 169, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 18, 68, 118, 168, 26, 76, 126, 176, 34, 84, 134, 184, 42, 92, 142, 192, 48, 98, 148, 198, 40, 90, 140, 190, 32, 82, 132, 182, 24, 74, 124, 174, 16, 66, 116, 166, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 61)(7, 55)(8, 54)(9, 53)(10, 67)(11, 56)(12, 66)(13, 65)(14, 69)(15, 63)(16, 62)(17, 60)(18, 75)(19, 64)(20, 74)(21, 73)(22, 77)(23, 71)(24, 70)(25, 68)(26, 83)(27, 72)(28, 82)(29, 81)(30, 85)(31, 79)(32, 78)(33, 76)(34, 91)(35, 80)(36, 90)(37, 89)(38, 93)(39, 87)(40, 86)(41, 84)(42, 99)(43, 88)(44, 98)(45, 97)(46, 100)(47, 95)(48, 94)(49, 92)(50, 96)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 159)(108, 164)(109, 157)(110, 155)(111, 154)(112, 169)(113, 168)(114, 158)(115, 167)(116, 172)(117, 165)(118, 163)(119, 162)(120, 177)(121, 176)(122, 166)(123, 175)(124, 180)(125, 173)(126, 171)(127, 170)(128, 185)(129, 184)(130, 174)(131, 183)(132, 188)(133, 181)(134, 179)(135, 178)(136, 193)(137, 192)(138, 182)(139, 191)(140, 196)(141, 189)(142, 187)(143, 186)(144, 200)(145, 198)(146, 190)(147, 199)(148, 195)(149, 197)(150, 194)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.892
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.905 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-10 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 12, 62, 112, 162, 20, 70, 120, 170, 28, 78, 128, 178, 36, 86, 136, 186, 44, 94, 144, 194, 46, 96, 146, 196, 38, 88, 138, 188, 30, 80, 130, 180, 22, 72, 122, 172, 14, 64, 114, 164, 6, 56, 106, 156, 9, 59, 109, 159, 17, 67, 117, 167, 25, 75, 125, 175, 33, 83, 133, 183, 41, 91, 141, 191, 49, 99, 149, 199, 45, 95, 145, 195, 37, 87, 137, 187, 29, 79, 129, 179, 21, 71, 121, 171, 13, 63, 113, 163, 5, 55, 105, 155)(2, 52, 102, 152, 7, 57, 107, 157, 15, 65, 115, 165, 23, 73, 123, 173, 31, 81, 131, 181, 39, 89, 139, 189, 47, 97, 147, 197, 43, 93, 143, 193, 35, 85, 135, 185, 27, 77, 127, 177, 19, 69, 119, 169, 11, 61, 111, 161, 3, 53, 103, 153, 10, 60, 110, 160, 18, 68, 118, 168, 26, 76, 126, 176, 34, 84, 134, 184, 42, 92, 142, 192, 50, 100, 150, 200, 48, 98, 148, 198, 40, 90, 140, 190, 32, 82, 132, 182, 24, 74, 124, 174, 16, 66, 116, 166, 8, 58, 108, 158)
	L = (1, 52)(2, 51)(3, 59)(4, 58)(5, 57)(6, 60)(7, 55)(8, 54)(9, 53)(10, 56)(11, 67)(12, 66)(13, 65)(14, 68)(15, 63)(16, 62)(17, 61)(18, 64)(19, 75)(20, 74)(21, 73)(22, 76)(23, 71)(24, 70)(25, 69)(26, 72)(27, 83)(28, 82)(29, 81)(30, 84)(31, 79)(32, 78)(33, 77)(34, 80)(35, 91)(36, 90)(37, 89)(38, 92)(39, 87)(40, 86)(41, 85)(42, 88)(43, 99)(44, 98)(45, 97)(46, 100)(47, 95)(48, 94)(49, 93)(50, 96)(101, 153)(102, 156)(103, 151)(104, 161)(105, 160)(106, 152)(107, 164)(108, 159)(109, 158)(110, 155)(111, 154)(112, 169)(113, 168)(114, 157)(115, 172)(116, 167)(117, 166)(118, 163)(119, 162)(120, 177)(121, 176)(122, 165)(123, 180)(124, 175)(125, 174)(126, 171)(127, 170)(128, 185)(129, 184)(130, 173)(131, 188)(132, 183)(133, 182)(134, 179)(135, 178)(136, 193)(137, 192)(138, 181)(139, 196)(140, 191)(141, 190)(142, 187)(143, 186)(144, 197)(145, 200)(146, 189)(147, 194)(148, 199)(149, 198)(150, 195)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.895
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.906 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3, Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^25 ]
Map::
	R = (1, 51, 101, 151, 4, 54, 104, 154, 8, 58, 108, 158, 12, 62, 112, 162, 16, 66, 116, 166, 20, 70, 120, 170, 24, 74, 124, 174, 28, 78, 128, 178, 32, 82, 132, 182, 36, 86, 136, 186, 40, 90, 140, 190, 44, 94, 144, 194, 48, 98, 148, 198, 49, 99, 149, 199, 45, 95, 145, 195, 41, 91, 141, 191, 37, 87, 137, 187, 33, 83, 133, 183, 29, 79, 129, 179, 25, 75, 125, 175, 21, 71, 121, 171, 17, 67, 117, 167, 13, 63, 113, 163, 9, 59, 109, 159, 5, 55, 105, 155)(2, 52, 102, 152, 3, 53, 103, 153, 7, 57, 107, 157, 11, 61, 111, 161, 15, 65, 115, 165, 19, 69, 119, 169, 23, 73, 123, 173, 27, 77, 127, 177, 31, 81, 131, 181, 35, 85, 135, 185, 39, 89, 139, 189, 43, 93, 143, 193, 47, 97, 147, 197, 50, 100, 150, 200, 46, 96, 146, 196, 42, 92, 142, 192, 38, 88, 138, 188, 34, 84, 134, 184, 30, 80, 130, 180, 26, 76, 126, 176, 22, 72, 122, 172, 18, 68, 118, 168, 14, 64, 114, 164, 10, 60, 110, 160, 6, 56, 106, 156)
	L = (1, 52)(2, 51)(3, 55)(4, 56)(5, 53)(6, 54)(7, 59)(8, 60)(9, 57)(10, 58)(11, 63)(12, 64)(13, 61)(14, 62)(15, 67)(16, 68)(17, 65)(18, 66)(19, 71)(20, 72)(21, 69)(22, 70)(23, 75)(24, 76)(25, 73)(26, 74)(27, 79)(28, 80)(29, 77)(30, 78)(31, 83)(32, 84)(33, 81)(34, 82)(35, 87)(36, 88)(37, 85)(38, 86)(39, 91)(40, 92)(41, 89)(42, 90)(43, 95)(44, 96)(45, 93)(46, 94)(47, 99)(48, 100)(49, 97)(50, 98)(101, 153)(102, 154)(103, 151)(104, 152)(105, 157)(106, 158)(107, 155)(108, 156)(109, 161)(110, 162)(111, 159)(112, 160)(113, 165)(114, 166)(115, 163)(116, 164)(117, 169)(118, 170)(119, 167)(120, 168)(121, 173)(122, 174)(123, 171)(124, 172)(125, 177)(126, 178)(127, 175)(128, 176)(129, 181)(130, 182)(131, 179)(132, 180)(133, 185)(134, 186)(135, 183)(136, 184)(137, 189)(138, 190)(139, 187)(140, 188)(141, 193)(142, 194)(143, 191)(144, 192)(145, 197)(146, 198)(147, 195)(148, 196)(149, 200)(150, 199)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.894
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.907 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 25, 25})
Quotient :: loop^2
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2^25, Y1^25 ]
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, 10, 60, 110, 160)(7, 57, 107, 157, 12, 62, 112, 162)(9, 59, 109, 159, 14, 64, 114, 164)(11, 61, 111, 161, 16, 66, 116, 166)(13, 63, 113, 163, 18, 68, 118, 168)(15, 65, 115, 165, 20, 70, 120, 170)(17, 67, 117, 167, 22, 72, 122, 172)(19, 69, 119, 169, 24, 74, 124, 174)(21, 71, 121, 171, 26, 76, 126, 176)(23, 73, 123, 173, 28, 78, 128, 178)(25, 75, 125, 175, 30, 80, 130, 180)(27, 77, 127, 177, 32, 82, 132, 182)(29, 79, 129, 179, 34, 84, 134, 184)(31, 81, 131, 181, 36, 86, 136, 186)(33, 83, 133, 183, 38, 88, 138, 188)(35, 85, 135, 185, 40, 90, 140, 190)(37, 87, 137, 187, 42, 92, 142, 192)(39, 89, 139, 189, 44, 94, 144, 194)(41, 91, 141, 191, 46, 96, 146, 196)(43, 93, 143, 193, 48, 98, 148, 198)(45, 95, 145, 195, 49, 99, 149, 199)(47, 97, 147, 197, 50, 100, 150, 200)
	L = (1, 52)(2, 55)(3, 51)(4, 58)(5, 59)(6, 54)(7, 53)(8, 62)(9, 63)(10, 56)(11, 57)(12, 66)(13, 67)(14, 60)(15, 61)(16, 70)(17, 71)(18, 64)(19, 65)(20, 74)(21, 75)(22, 68)(23, 69)(24, 78)(25, 79)(26, 72)(27, 73)(28, 82)(29, 83)(30, 76)(31, 77)(32, 86)(33, 87)(34, 80)(35, 81)(36, 90)(37, 91)(38, 84)(39, 85)(40, 94)(41, 95)(42, 88)(43, 89)(44, 98)(45, 97)(46, 92)(47, 93)(48, 100)(49, 96)(50, 99)(101, 153)(102, 151)(103, 157)(104, 156)(105, 152)(106, 160)(107, 161)(108, 154)(109, 155)(110, 164)(111, 165)(112, 158)(113, 159)(114, 168)(115, 169)(116, 162)(117, 163)(118, 172)(119, 173)(120, 166)(121, 167)(122, 176)(123, 177)(124, 170)(125, 171)(126, 180)(127, 181)(128, 174)(129, 175)(130, 184)(131, 185)(132, 178)(133, 179)(134, 188)(135, 189)(136, 182)(137, 183)(138, 192)(139, 193)(140, 186)(141, 187)(142, 196)(143, 197)(144, 190)(145, 191)(146, 199)(147, 195)(148, 194)(149, 200)(150, 198)
	local type(s) :: { ( 4, 25, 4, 25, 4, 25, 4, 25 ) }
Outer automorphisms :: reflexible
Dual of E24.896
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 29
	degree seq :: [ 8^25 ]

E24.908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^25, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 51, 2, 52)(3, 53, 5, 55)(4, 54, 6, 56)(7, 57, 9, 59)(8, 58, 10, 60)(11, 61, 13, 63)(12, 62, 14, 64)(15, 65, 17, 67)(16, 66, 18, 68)(19, 69, 21, 71)(20, 70, 22, 72)(23, 73, 25, 75)(24, 74, 26, 76)(27, 77, 29, 79)(28, 78, 30, 80)(31, 81, 33, 83)(32, 82, 34, 84)(35, 85, 37, 87)(36, 86, 38, 88)(39, 89, 41, 91)(40, 90, 42, 92)(43, 93, 45, 95)(44, 94, 46, 96)(47, 97, 49, 99)(48, 98, 50, 100)(101, 151, 103, 153, 107, 157, 111, 161, 115, 165, 119, 169, 123, 173, 127, 177, 131, 181, 135, 185, 139, 189, 143, 193, 147, 197, 148, 198, 144, 194, 140, 190, 136, 186, 132, 182, 128, 178, 124, 174, 120, 170, 116, 166, 112, 162, 108, 158, 104, 154)(102, 152, 105, 155, 109, 159, 113, 163, 117, 167, 121, 171, 125, 175, 129, 179, 133, 183, 137, 187, 141, 191, 145, 195, 149, 199, 150, 200, 146, 196, 142, 192, 138, 188, 134, 184, 130, 180, 126, 176, 122, 172, 118, 168, 114, 164, 110, 160, 106, 156)
	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, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^25, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 51, 2, 52)(3, 53, 6, 56)(4, 54, 5, 55)(7, 57, 10, 60)(8, 58, 9, 59)(11, 61, 14, 64)(12, 62, 13, 63)(15, 65, 18, 68)(16, 66, 17, 67)(19, 69, 22, 72)(20, 70, 21, 71)(23, 73, 26, 76)(24, 74, 25, 75)(27, 77, 30, 80)(28, 78, 29, 79)(31, 81, 34, 84)(32, 82, 33, 83)(35, 85, 38, 88)(36, 86, 37, 87)(39, 89, 42, 92)(40, 90, 41, 91)(43, 93, 46, 96)(44, 94, 45, 95)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 107, 157, 111, 161, 115, 165, 119, 169, 123, 173, 127, 177, 131, 181, 135, 185, 139, 189, 143, 193, 147, 197, 148, 198, 144, 194, 140, 190, 136, 186, 132, 182, 128, 178, 124, 174, 120, 170, 116, 166, 112, 162, 108, 158, 104, 154)(102, 152, 105, 155, 109, 159, 113, 163, 117, 167, 121, 171, 125, 175, 129, 179, 133, 183, 137, 187, 141, 191, 145, 195, 149, 199, 150, 200, 146, 196, 142, 192, 138, 188, 134, 184, 130, 180, 126, 176, 122, 172, 118, 168, 114, 164, 110, 160, 106, 156)
	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, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|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, Y3^5, Y3 * Y2^-5, Y2^-1 * Y3^2 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 37, 87)(28, 78, 41, 91)(29, 79, 35, 85)(30, 80, 42, 92)(31, 81, 40, 90)(32, 82, 39, 89)(33, 83, 36, 86)(34, 84, 38, 88)(43, 93, 49, 99)(44, 94, 50, 100)(45, 95, 47, 97)(46, 96, 48, 98)(101, 151, 103, 153, 111, 161, 127, 177, 115, 165, 104, 154, 112, 162, 128, 178, 143, 193, 132, 182, 114, 164, 130, 180, 144, 194, 146, 196, 134, 184, 118, 168, 131, 181, 145, 195, 133, 183, 117, 167, 106, 156, 113, 163, 129, 179, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 135, 185, 123, 173, 108, 158, 120, 170, 136, 186, 147, 197, 140, 190, 122, 172, 138, 188, 148, 198, 150, 200, 142, 192, 126, 176, 139, 189, 149, 199, 141, 191, 125, 175, 110, 160, 121, 171, 137, 187, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 130)(13, 103)(14, 118)(15, 132)(16, 127)(17, 105)(18, 106)(19, 136)(20, 138)(21, 107)(22, 126)(23, 140)(24, 135)(25, 109)(26, 110)(27, 143)(28, 144)(29, 111)(30, 131)(31, 113)(32, 134)(33, 116)(34, 117)(35, 147)(36, 148)(37, 119)(38, 139)(39, 121)(40, 142)(41, 124)(42, 125)(43, 146)(44, 145)(45, 129)(46, 133)(47, 150)(48, 149)(49, 137)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.911
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y2)^2, Y3^5, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y3^-1 * Y2^-5, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 36, 86)(28, 78, 35, 85)(29, 79, 41, 91)(30, 80, 42, 92)(31, 81, 40, 90)(32, 82, 39, 89)(33, 83, 37, 87)(34, 84, 38, 88)(43, 93, 48, 98)(44, 94, 47, 97)(45, 95, 50, 100)(46, 96, 49, 99)(101, 151, 103, 153, 111, 161, 127, 177, 117, 167, 106, 156, 113, 163, 129, 179, 143, 193, 134, 184, 118, 168, 131, 181, 145, 195, 146, 196, 132, 182, 114, 164, 130, 180, 144, 194, 133, 183, 115, 165, 104, 154, 112, 162, 128, 178, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 135, 185, 125, 175, 110, 160, 121, 171, 137, 187, 147, 197, 142, 192, 126, 176, 139, 189, 149, 199, 150, 200, 140, 190, 122, 172, 138, 188, 148, 198, 141, 191, 123, 173, 108, 158, 120, 170, 136, 186, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 130)(13, 103)(14, 118)(15, 132)(16, 133)(17, 105)(18, 106)(19, 136)(20, 138)(21, 107)(22, 126)(23, 140)(24, 141)(25, 109)(26, 110)(27, 116)(28, 144)(29, 111)(30, 131)(31, 113)(32, 134)(33, 146)(34, 117)(35, 124)(36, 148)(37, 119)(38, 139)(39, 121)(40, 142)(41, 150)(42, 125)(43, 127)(44, 145)(45, 129)(46, 143)(47, 135)(48, 149)(49, 137)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.910
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^-5, Y3^-2 * Y2^5, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 44, 94)(28, 78, 45, 95)(29, 79, 43, 93)(30, 80, 46, 96)(31, 81, 42, 92)(32, 82, 41, 91)(33, 83, 39, 89)(34, 84, 37, 87)(35, 85, 38, 88)(36, 86, 40, 90)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 111, 161, 127, 177, 132, 182, 114, 164, 130, 180, 148, 198, 135, 185, 117, 167, 106, 156, 113, 163, 129, 179, 133, 183, 115, 165, 104, 154, 112, 162, 128, 178, 147, 197, 136, 186, 118, 168, 131, 181, 134, 184, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 137, 187, 142, 192, 122, 172, 140, 190, 150, 200, 145, 195, 125, 175, 110, 160, 121, 171, 139, 189, 143, 193, 123, 173, 108, 158, 120, 170, 138, 188, 149, 199, 146, 196, 126, 176, 141, 191, 144, 194, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 130)(13, 103)(14, 118)(15, 132)(16, 133)(17, 105)(18, 106)(19, 138)(20, 140)(21, 107)(22, 126)(23, 142)(24, 143)(25, 109)(26, 110)(27, 147)(28, 148)(29, 111)(30, 131)(31, 113)(32, 136)(33, 127)(34, 129)(35, 116)(36, 117)(37, 149)(38, 150)(39, 119)(40, 141)(41, 121)(42, 146)(43, 137)(44, 139)(45, 124)(46, 125)(47, 135)(48, 134)(49, 145)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.913
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^5, Y3^5, Y2^5 * Y3^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 * Y3, Y2 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 44, 94)(28, 78, 45, 95)(29, 79, 43, 93)(30, 80, 46, 96)(31, 81, 42, 92)(32, 82, 41, 91)(33, 83, 39, 89)(34, 84, 37, 87)(35, 85, 38, 88)(36, 86, 40, 90)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 111, 161, 127, 177, 136, 186, 118, 168, 131, 181, 148, 198, 133, 183, 115, 165, 104, 154, 112, 162, 128, 178, 135, 185, 117, 167, 106, 156, 113, 163, 129, 179, 147, 197, 132, 182, 114, 164, 130, 180, 134, 184, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 137, 187, 146, 196, 126, 176, 141, 191, 150, 200, 143, 193, 123, 173, 108, 158, 120, 170, 138, 188, 145, 195, 125, 175, 110, 160, 121, 171, 139, 189, 149, 199, 142, 192, 122, 172, 140, 190, 144, 194, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 130)(13, 103)(14, 118)(15, 132)(16, 133)(17, 105)(18, 106)(19, 138)(20, 140)(21, 107)(22, 126)(23, 142)(24, 143)(25, 109)(26, 110)(27, 135)(28, 134)(29, 111)(30, 131)(31, 113)(32, 136)(33, 147)(34, 148)(35, 116)(36, 117)(37, 145)(38, 144)(39, 119)(40, 141)(41, 121)(42, 146)(43, 149)(44, 150)(45, 124)(46, 125)(47, 127)(48, 129)(49, 137)(50, 139)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.912
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^25, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 6, 56)(4, 54, 5, 55)(7, 57, 10, 60)(8, 58, 9, 59)(11, 61, 14, 64)(12, 62, 13, 63)(15, 65, 18, 68)(16, 66, 17, 67)(19, 69, 22, 72)(20, 70, 21, 71)(23, 73, 26, 76)(24, 74, 25, 75)(27, 77, 30, 80)(28, 78, 29, 79)(31, 81, 34, 84)(32, 82, 33, 83)(35, 85, 38, 88)(36, 86, 37, 87)(39, 89, 42, 92)(40, 90, 41, 91)(43, 93, 46, 96)(44, 94, 45, 95)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 107, 157, 111, 161, 115, 165, 119, 169, 123, 173, 127, 177, 131, 181, 135, 185, 139, 189, 143, 193, 147, 197, 148, 198, 144, 194, 140, 190, 136, 186, 132, 182, 128, 178, 124, 174, 120, 170, 116, 166, 112, 162, 108, 158, 104, 154)(102, 152, 105, 155, 109, 159, 113, 163, 117, 167, 121, 171, 125, 175, 129, 179, 133, 183, 137, 187, 141, 191, 145, 195, 149, 199, 150, 200, 146, 196, 142, 192, 138, 188, 134, 184, 130, 180, 126, 176, 122, 172, 118, 168, 114, 164, 110, 160, 106, 156)
	L = (1, 104)(2, 106)(3, 101)(4, 108)(5, 102)(6, 110)(7, 103)(8, 112)(9, 105)(10, 114)(11, 107)(12, 116)(13, 109)(14, 118)(15, 111)(16, 120)(17, 113)(18, 122)(19, 115)(20, 124)(21, 117)(22, 126)(23, 119)(24, 128)(25, 121)(26, 130)(27, 123)(28, 132)(29, 125)(30, 134)(31, 127)(32, 136)(33, 129)(34, 138)(35, 131)(36, 140)(37, 133)(38, 142)(39, 135)(40, 144)(41, 137)(42, 146)(43, 139)(44, 148)(45, 141)(46, 150)(47, 143)(48, 147)(49, 145)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.928
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^12 * Y2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 17, 67)(12, 62, 18, 68)(13, 63, 15, 65)(14, 64, 16, 66)(19, 69, 25, 75)(20, 70, 26, 76)(21, 71, 23, 73)(22, 72, 24, 74)(27, 77, 33, 83)(28, 78, 34, 84)(29, 79, 31, 81)(30, 80, 32, 82)(35, 85, 41, 91)(36, 86, 42, 92)(37, 87, 39, 89)(38, 88, 40, 90)(43, 93, 49, 99)(44, 94, 50, 100)(45, 95, 47, 97)(46, 96, 48, 98)(101, 151, 103, 153, 104, 154, 111, 161, 112, 162, 119, 169, 120, 170, 127, 177, 128, 178, 135, 185, 136, 186, 143, 193, 144, 194, 146, 196, 145, 195, 138, 188, 137, 187, 130, 180, 129, 179, 122, 172, 121, 171, 114, 164, 113, 163, 106, 156, 105, 155)(102, 152, 107, 157, 108, 158, 115, 165, 116, 166, 123, 173, 124, 174, 131, 181, 132, 182, 139, 189, 140, 190, 147, 197, 148, 198, 150, 200, 149, 199, 142, 192, 141, 191, 134, 184, 133, 183, 126, 176, 125, 175, 118, 168, 117, 167, 110, 160, 109, 159)
	L = (1, 104)(2, 108)(3, 111)(4, 112)(5, 103)(6, 101)(7, 115)(8, 116)(9, 107)(10, 102)(11, 119)(12, 120)(13, 105)(14, 106)(15, 123)(16, 124)(17, 109)(18, 110)(19, 127)(20, 128)(21, 113)(22, 114)(23, 131)(24, 132)(25, 117)(26, 118)(27, 135)(28, 136)(29, 121)(30, 122)(31, 139)(32, 140)(33, 125)(34, 126)(35, 143)(36, 144)(37, 129)(38, 130)(39, 147)(40, 148)(41, 133)(42, 134)(43, 146)(44, 145)(45, 137)(46, 138)(47, 150)(48, 149)(49, 141)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2 * Y3^-12, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 17, 67)(12, 62, 18, 68)(13, 63, 15, 65)(14, 64, 16, 66)(19, 69, 25, 75)(20, 70, 26, 76)(21, 71, 23, 73)(22, 72, 24, 74)(27, 77, 33, 83)(28, 78, 34, 84)(29, 79, 31, 81)(30, 80, 32, 82)(35, 85, 41, 91)(36, 86, 42, 92)(37, 87, 39, 89)(38, 88, 40, 90)(43, 93, 49, 99)(44, 94, 50, 100)(45, 95, 47, 97)(46, 96, 48, 98)(101, 151, 103, 153, 106, 156, 111, 161, 114, 164, 119, 169, 122, 172, 127, 177, 130, 180, 135, 185, 138, 188, 143, 193, 146, 196, 144, 194, 145, 195, 136, 186, 137, 187, 128, 178, 129, 179, 120, 170, 121, 171, 112, 162, 113, 163, 104, 154, 105, 155)(102, 152, 107, 157, 110, 160, 115, 165, 118, 168, 123, 173, 126, 176, 131, 181, 134, 184, 139, 189, 142, 192, 147, 197, 150, 200, 148, 198, 149, 199, 140, 190, 141, 191, 132, 182, 133, 183, 124, 174, 125, 175, 116, 166, 117, 167, 108, 158, 109, 159)
	L = (1, 104)(2, 108)(3, 105)(4, 112)(5, 113)(6, 101)(7, 109)(8, 116)(9, 117)(10, 102)(11, 103)(12, 120)(13, 121)(14, 106)(15, 107)(16, 124)(17, 125)(18, 110)(19, 111)(20, 128)(21, 129)(22, 114)(23, 115)(24, 132)(25, 133)(26, 118)(27, 119)(28, 136)(29, 137)(30, 122)(31, 123)(32, 140)(33, 141)(34, 126)(35, 127)(36, 144)(37, 145)(38, 130)(39, 131)(40, 148)(41, 149)(42, 134)(43, 135)(44, 143)(45, 146)(46, 138)(47, 139)(48, 147)(49, 150)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.925
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^4 * Y2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 19, 69)(12, 62, 21, 71)(13, 63, 17, 67)(14, 64, 22, 72)(15, 65, 18, 68)(16, 66, 20, 70)(23, 73, 31, 81)(24, 74, 33, 83)(25, 75, 29, 79)(26, 76, 34, 84)(27, 77, 30, 80)(28, 78, 32, 82)(35, 85, 43, 93)(36, 86, 45, 95)(37, 87, 41, 91)(38, 88, 46, 96)(39, 89, 42, 92)(40, 90, 44, 94)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 111, 161, 104, 154, 112, 162, 123, 173, 114, 164, 124, 174, 135, 185, 126, 176, 136, 186, 147, 197, 138, 188, 140, 190, 148, 198, 139, 189, 128, 178, 137, 187, 127, 177, 116, 166, 125, 175, 115, 165, 106, 156, 113, 163, 105, 155)(102, 152, 107, 157, 117, 167, 108, 158, 118, 168, 129, 179, 120, 170, 130, 180, 141, 191, 132, 182, 142, 192, 149, 199, 144, 194, 146, 196, 150, 200, 145, 195, 134, 184, 143, 193, 133, 183, 122, 172, 131, 181, 121, 171, 110, 160, 119, 169, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 111)(6, 101)(7, 118)(8, 120)(9, 117)(10, 102)(11, 123)(12, 124)(13, 103)(14, 126)(15, 105)(16, 106)(17, 129)(18, 130)(19, 107)(20, 132)(21, 109)(22, 110)(23, 135)(24, 136)(25, 113)(26, 138)(27, 115)(28, 116)(29, 141)(30, 142)(31, 119)(32, 144)(33, 121)(34, 122)(35, 147)(36, 140)(37, 125)(38, 139)(39, 127)(40, 128)(41, 149)(42, 146)(43, 131)(44, 145)(45, 133)(46, 134)(47, 148)(48, 137)(49, 150)(50, 143)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.926
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-3, (Y3, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^-1 * Y2 * Y3^-7, (Y2^-1 * Y3)^25 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 18, 68)(12, 62, 17, 67)(13, 63, 21, 71)(14, 64, 22, 72)(15, 65, 19, 69)(16, 66, 20, 70)(23, 73, 30, 80)(24, 74, 29, 79)(25, 75, 33, 83)(26, 76, 34, 84)(27, 77, 31, 81)(28, 78, 32, 82)(35, 85, 42, 92)(36, 86, 41, 91)(37, 87, 45, 95)(38, 88, 46, 96)(39, 89, 43, 93)(40, 90, 44, 94)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 111, 161, 106, 156, 113, 163, 123, 173, 116, 166, 125, 175, 135, 185, 128, 178, 137, 187, 147, 197, 140, 190, 138, 188, 148, 198, 139, 189, 126, 176, 136, 186, 127, 177, 114, 164, 124, 174, 115, 165, 104, 154, 112, 162, 105, 155)(102, 152, 107, 157, 117, 167, 110, 160, 119, 169, 129, 179, 122, 172, 131, 181, 141, 191, 134, 184, 143, 193, 149, 199, 146, 196, 144, 194, 150, 200, 145, 195, 132, 182, 142, 192, 133, 183, 120, 170, 130, 180, 121, 171, 108, 158, 118, 168, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 118)(8, 120)(9, 121)(10, 102)(11, 105)(12, 124)(13, 103)(14, 126)(15, 127)(16, 106)(17, 109)(18, 130)(19, 107)(20, 132)(21, 133)(22, 110)(23, 111)(24, 136)(25, 113)(26, 138)(27, 139)(28, 116)(29, 117)(30, 142)(31, 119)(32, 144)(33, 145)(34, 122)(35, 123)(36, 148)(37, 125)(38, 137)(39, 140)(40, 128)(41, 129)(42, 150)(43, 131)(44, 143)(45, 146)(46, 134)(47, 135)(48, 147)(49, 141)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.921
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^2 * Y3^-1 * Y2^2, Y3 * Y2 * Y3^5, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-3 * Y2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 40, 90)(28, 78, 41, 91)(29, 79, 39, 89)(30, 80, 42, 92)(31, 81, 37, 87)(32, 82, 35, 85)(33, 83, 36, 86)(34, 84, 38, 88)(43, 93, 50, 100)(44, 94, 49, 99)(45, 95, 48, 98)(46, 96, 47, 97)(101, 151, 103, 153, 111, 161, 115, 165, 104, 154, 112, 162, 127, 177, 131, 181, 114, 164, 128, 178, 143, 193, 145, 195, 130, 180, 134, 184, 144, 194, 146, 196, 133, 183, 118, 168, 129, 179, 132, 182, 117, 167, 106, 156, 113, 163, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 123, 173, 108, 158, 120, 170, 135, 185, 139, 189, 122, 172, 136, 186, 147, 197, 149, 199, 138, 188, 142, 192, 148, 198, 150, 200, 141, 191, 126, 176, 137, 187, 140, 190, 125, 175, 110, 160, 121, 171, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 127)(12, 128)(13, 103)(14, 130)(15, 131)(16, 111)(17, 105)(18, 106)(19, 135)(20, 136)(21, 107)(22, 138)(23, 139)(24, 119)(25, 109)(26, 110)(27, 143)(28, 134)(29, 113)(30, 133)(31, 145)(32, 116)(33, 117)(34, 118)(35, 147)(36, 142)(37, 121)(38, 141)(39, 149)(40, 124)(41, 125)(42, 126)(43, 144)(44, 129)(45, 146)(46, 132)(47, 148)(48, 137)(49, 150)(50, 140)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.922
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^-4 * Y2, Y2^3 * Y3 * Y2^3, Y2 * Y3^2 * Y2^2 * Y3^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 40, 90)(28, 78, 41, 91)(29, 79, 39, 89)(30, 80, 42, 92)(31, 81, 37, 87)(32, 82, 35, 85)(33, 83, 36, 86)(34, 84, 38, 88)(43, 93, 49, 99)(44, 94, 50, 100)(45, 95, 47, 97)(46, 96, 48, 98)(101, 151, 103, 153, 111, 161, 127, 177, 133, 183, 117, 167, 106, 156, 113, 163, 129, 179, 143, 193, 146, 196, 134, 184, 118, 168, 114, 164, 130, 180, 144, 194, 145, 195, 131, 181, 115, 165, 104, 154, 112, 162, 128, 178, 132, 182, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 135, 185, 141, 191, 125, 175, 110, 160, 121, 171, 137, 187, 147, 197, 150, 200, 142, 192, 126, 176, 122, 172, 138, 188, 148, 198, 149, 199, 139, 189, 123, 173, 108, 158, 120, 170, 136, 186, 140, 190, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 130)(13, 103)(14, 113)(15, 118)(16, 131)(17, 105)(18, 106)(19, 136)(20, 138)(21, 107)(22, 121)(23, 126)(24, 139)(25, 109)(26, 110)(27, 132)(28, 144)(29, 111)(30, 129)(31, 134)(32, 145)(33, 116)(34, 117)(35, 140)(36, 148)(37, 119)(38, 137)(39, 142)(40, 149)(41, 124)(42, 125)(43, 127)(44, 143)(45, 146)(46, 133)(47, 135)(48, 147)(49, 150)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.923
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^3 * Y3 * Y2 * Y3^2, Y3^-2 * Y2^2 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 47, 97)(28, 78, 48, 98)(29, 79, 46, 96)(30, 80, 49, 99)(31, 81, 45, 95)(32, 82, 50, 100)(33, 83, 43, 93)(34, 84, 41, 91)(35, 85, 39, 89)(36, 86, 40, 90)(37, 87, 42, 92)(38, 88, 44, 94)(101, 151, 103, 153, 111, 161, 127, 177, 138, 188, 134, 184, 115, 165, 104, 154, 112, 162, 128, 178, 137, 187, 118, 168, 131, 181, 133, 183, 114, 164, 130, 180, 136, 186, 117, 167, 106, 156, 113, 163, 129, 179, 132, 182, 135, 185, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 139, 189, 150, 200, 146, 196, 123, 173, 108, 158, 120, 170, 140, 190, 149, 199, 126, 176, 143, 193, 145, 195, 122, 172, 142, 192, 148, 198, 125, 175, 110, 160, 121, 171, 141, 191, 144, 194, 147, 197, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 130)(13, 103)(14, 132)(15, 133)(16, 134)(17, 105)(18, 106)(19, 140)(20, 142)(21, 107)(22, 144)(23, 145)(24, 146)(25, 109)(26, 110)(27, 137)(28, 136)(29, 111)(30, 135)(31, 113)(32, 127)(33, 129)(34, 131)(35, 138)(36, 116)(37, 117)(38, 118)(39, 149)(40, 148)(41, 119)(42, 147)(43, 121)(44, 139)(45, 141)(46, 143)(47, 150)(48, 124)(49, 125)(50, 126)(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, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.918
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (Y2^-1, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, (R * Y1)^2, Y3^2 * Y2 * Y3^2 * Y2^2, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 47, 97)(28, 78, 48, 98)(29, 79, 46, 96)(30, 80, 49, 99)(31, 81, 45, 95)(32, 82, 50, 100)(33, 83, 43, 93)(34, 84, 41, 91)(35, 85, 39, 89)(36, 86, 40, 90)(37, 87, 42, 92)(38, 88, 44, 94)(101, 151, 103, 153, 111, 161, 127, 177, 132, 182, 136, 186, 117, 167, 106, 156, 113, 163, 129, 179, 133, 183, 114, 164, 130, 180, 137, 187, 118, 168, 131, 181, 134, 184, 115, 165, 104, 154, 112, 162, 128, 178, 138, 188, 135, 185, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 139, 189, 144, 194, 148, 198, 125, 175, 110, 160, 121, 171, 141, 191, 145, 195, 122, 172, 142, 192, 149, 199, 126, 176, 143, 193, 146, 196, 123, 173, 108, 158, 120, 170, 140, 190, 150, 200, 147, 197, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 130)(13, 103)(14, 132)(15, 133)(16, 134)(17, 105)(18, 106)(19, 140)(20, 142)(21, 107)(22, 144)(23, 145)(24, 146)(25, 109)(26, 110)(27, 138)(28, 137)(29, 111)(30, 136)(31, 113)(32, 135)(33, 127)(34, 129)(35, 131)(36, 116)(37, 117)(38, 118)(39, 150)(40, 149)(41, 119)(42, 148)(43, 121)(44, 147)(45, 139)(46, 141)(47, 143)(48, 124)(49, 125)(50, 126)(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, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.919
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 22, 72)(12, 62, 20, 70)(13, 63, 21, 71)(14, 64, 18, 68)(15, 65, 19, 69)(16, 66, 17, 67)(23, 73, 34, 84)(24, 74, 32, 82)(25, 75, 33, 83)(26, 76, 30, 80)(27, 77, 31, 81)(28, 78, 29, 79)(35, 85, 46, 96)(36, 86, 44, 94)(37, 87, 45, 95)(38, 88, 42, 92)(39, 89, 43, 93)(40, 90, 41, 91)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 111, 161, 123, 173, 135, 185, 139, 189, 127, 177, 115, 165, 104, 154, 112, 162, 124, 174, 136, 186, 147, 197, 148, 198, 138, 188, 126, 176, 114, 164, 106, 156, 113, 163, 125, 175, 137, 187, 140, 190, 128, 178, 116, 166, 105, 155)(102, 152, 107, 157, 117, 167, 129, 179, 141, 191, 145, 195, 133, 183, 121, 171, 108, 158, 118, 168, 130, 180, 142, 192, 149, 199, 150, 200, 144, 194, 132, 182, 120, 170, 110, 160, 119, 169, 131, 181, 143, 193, 146, 196, 134, 184, 122, 172, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 118)(8, 120)(9, 121)(10, 102)(11, 124)(12, 106)(13, 103)(14, 105)(15, 126)(16, 127)(17, 130)(18, 110)(19, 107)(20, 109)(21, 132)(22, 133)(23, 136)(24, 113)(25, 111)(26, 116)(27, 138)(28, 139)(29, 142)(30, 119)(31, 117)(32, 122)(33, 144)(34, 145)(35, 147)(36, 125)(37, 123)(38, 128)(39, 148)(40, 135)(41, 149)(42, 131)(43, 129)(44, 134)(45, 150)(46, 141)(47, 137)(48, 140)(49, 143)(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, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.920
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2^4 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 21, 71)(12, 62, 22, 72)(13, 63, 20, 70)(14, 64, 19, 69)(15, 65, 17, 67)(16, 66, 18, 68)(23, 73, 33, 83)(24, 74, 34, 84)(25, 75, 32, 82)(26, 76, 31, 81)(27, 77, 29, 79)(28, 78, 30, 80)(35, 85, 45, 95)(36, 86, 46, 96)(37, 87, 44, 94)(38, 88, 43, 93)(39, 89, 41, 91)(40, 90, 42, 92)(47, 97, 50, 100)(48, 98, 49, 99)(101, 151, 103, 153, 111, 161, 123, 173, 135, 185, 140, 190, 128, 178, 116, 166, 106, 156, 113, 163, 125, 175, 137, 187, 147, 197, 148, 198, 138, 188, 126, 176, 114, 164, 104, 154, 112, 162, 124, 174, 136, 186, 139, 189, 127, 177, 115, 165, 105, 155)(102, 152, 107, 157, 117, 167, 129, 179, 141, 191, 146, 196, 134, 184, 122, 172, 110, 160, 119, 169, 131, 181, 143, 193, 149, 199, 150, 200, 144, 194, 132, 182, 120, 170, 108, 158, 118, 168, 130, 180, 142, 192, 145, 195, 133, 183, 121, 171, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 113)(5, 114)(6, 101)(7, 118)(8, 119)(9, 120)(10, 102)(11, 124)(12, 125)(13, 103)(14, 106)(15, 126)(16, 105)(17, 130)(18, 131)(19, 107)(20, 110)(21, 132)(22, 109)(23, 136)(24, 137)(25, 111)(26, 116)(27, 138)(28, 115)(29, 142)(30, 143)(31, 117)(32, 122)(33, 144)(34, 121)(35, 139)(36, 147)(37, 123)(38, 128)(39, 148)(40, 127)(41, 145)(42, 149)(43, 129)(44, 134)(45, 150)(46, 133)(47, 135)(48, 140)(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, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.927
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^-1 * Y2 * Y3^-2 * Y2, Y2^2 * Y3 * Y2^2 * Y3 * Y2^3, Y3^-1 * Y2^-1 * Y3^-10 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 36, 86)(28, 78, 37, 87)(29, 79, 38, 88)(30, 80, 33, 83)(31, 81, 34, 84)(32, 82, 35, 85)(39, 89, 48, 98)(40, 90, 49, 99)(41, 91, 50, 100)(42, 92, 45, 95)(43, 93, 46, 96)(44, 94, 47, 97)(101, 151, 103, 153, 111, 161, 127, 177, 139, 189, 144, 194, 132, 182, 118, 168, 115, 165, 104, 154, 112, 162, 128, 178, 140, 190, 143, 193, 131, 181, 117, 167, 106, 156, 113, 163, 114, 164, 129, 179, 141, 191, 142, 192, 130, 180, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 133, 183, 145, 195, 150, 200, 138, 188, 126, 176, 123, 173, 108, 158, 120, 170, 134, 184, 146, 196, 149, 199, 137, 187, 125, 175, 110, 160, 121, 171, 122, 172, 135, 185, 147, 197, 148, 198, 136, 186, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 128)(12, 129)(13, 103)(14, 111)(15, 113)(16, 118)(17, 105)(18, 106)(19, 134)(20, 135)(21, 107)(22, 119)(23, 121)(24, 126)(25, 109)(26, 110)(27, 140)(28, 141)(29, 127)(30, 132)(31, 116)(32, 117)(33, 146)(34, 147)(35, 133)(36, 138)(37, 124)(38, 125)(39, 143)(40, 142)(41, 139)(42, 144)(43, 130)(44, 131)(45, 149)(46, 148)(47, 145)(48, 150)(49, 136)(50, 137)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.916
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y3^6 * Y2 * Y3 * Y2, Y3 * Y2^11 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 24, 74)(12, 62, 25, 75)(13, 63, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 19, 69)(17, 67, 20, 70)(18, 68, 22, 72)(27, 77, 36, 86)(28, 78, 37, 87)(29, 79, 38, 88)(30, 80, 33, 83)(31, 81, 34, 84)(32, 82, 35, 85)(39, 89, 48, 98)(40, 90, 49, 99)(41, 91, 50, 100)(42, 92, 45, 95)(43, 93, 46, 96)(44, 94, 47, 97)(101, 151, 103, 153, 111, 161, 114, 164, 128, 178, 139, 189, 141, 191, 143, 193, 132, 182, 130, 180, 117, 167, 106, 156, 113, 163, 115, 165, 104, 154, 112, 162, 127, 177, 129, 179, 140, 190, 144, 194, 142, 192, 131, 181, 118, 168, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 122, 172, 134, 184, 145, 195, 147, 197, 149, 199, 138, 188, 136, 186, 125, 175, 110, 160, 121, 171, 123, 173, 108, 158, 120, 170, 133, 183, 135, 185, 146, 196, 150, 200, 148, 198, 137, 187, 126, 176, 124, 174, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 127)(12, 128)(13, 103)(14, 129)(15, 111)(16, 113)(17, 105)(18, 106)(19, 133)(20, 134)(21, 107)(22, 135)(23, 119)(24, 121)(25, 109)(26, 110)(27, 139)(28, 140)(29, 141)(30, 116)(31, 117)(32, 118)(33, 145)(34, 146)(35, 147)(36, 124)(37, 125)(38, 126)(39, 144)(40, 143)(41, 142)(42, 130)(43, 131)(44, 132)(45, 150)(46, 149)(47, 148)(48, 136)(49, 137)(50, 138)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.917
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^12 * Y3^-1, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 18, 68)(12, 62, 17, 67)(13, 63, 16, 66)(14, 64, 15, 65)(19, 69, 26, 76)(20, 70, 25, 75)(21, 71, 24, 74)(22, 72, 23, 73)(27, 77, 34, 84)(28, 78, 33, 83)(29, 79, 32, 82)(30, 80, 31, 81)(35, 85, 42, 92)(36, 86, 41, 91)(37, 87, 40, 90)(38, 88, 39, 89)(43, 93, 50, 100)(44, 94, 49, 99)(45, 95, 48, 98)(46, 96, 47, 97)(101, 151, 103, 153, 111, 161, 119, 169, 127, 177, 135, 185, 143, 193, 145, 195, 137, 187, 129, 179, 121, 171, 113, 163, 104, 154, 106, 156, 112, 162, 120, 170, 128, 178, 136, 186, 144, 194, 146, 196, 138, 188, 130, 180, 122, 172, 114, 164, 105, 155)(102, 152, 107, 157, 115, 165, 123, 173, 131, 181, 139, 189, 147, 197, 149, 199, 141, 191, 133, 183, 125, 175, 117, 167, 108, 158, 110, 160, 116, 166, 124, 174, 132, 182, 140, 190, 148, 198, 150, 200, 142, 192, 134, 184, 126, 176, 118, 168, 109, 159)
	L = (1, 104)(2, 108)(3, 106)(4, 105)(5, 113)(6, 101)(7, 110)(8, 109)(9, 117)(10, 102)(11, 112)(12, 103)(13, 114)(14, 121)(15, 116)(16, 107)(17, 118)(18, 125)(19, 120)(20, 111)(21, 122)(22, 129)(23, 124)(24, 115)(25, 126)(26, 133)(27, 128)(28, 119)(29, 130)(30, 137)(31, 132)(32, 123)(33, 134)(34, 141)(35, 136)(36, 127)(37, 138)(38, 145)(39, 140)(40, 131)(41, 142)(42, 149)(43, 144)(44, 135)(45, 146)(46, 143)(47, 148)(48, 139)(49, 150)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.924
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 25, 25})
Quotient :: dipole
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^-12 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 10, 60)(5, 55, 7, 57)(6, 56, 8, 58)(11, 61, 17, 67)(12, 62, 18, 68)(13, 63, 15, 65)(14, 64, 16, 66)(19, 69, 25, 75)(20, 70, 26, 76)(21, 71, 23, 73)(22, 72, 24, 74)(27, 77, 33, 83)(28, 78, 34, 84)(29, 79, 31, 81)(30, 80, 32, 82)(35, 85, 41, 91)(36, 86, 42, 92)(37, 87, 39, 89)(38, 88, 40, 90)(43, 93, 49, 99)(44, 94, 50, 100)(45, 95, 47, 97)(46, 96, 48, 98)(101, 151, 103, 153, 111, 161, 119, 169, 127, 177, 135, 185, 143, 193, 146, 196, 138, 188, 130, 180, 122, 172, 114, 164, 106, 156, 104, 154, 112, 162, 120, 170, 128, 178, 136, 186, 144, 194, 145, 195, 137, 187, 129, 179, 121, 171, 113, 163, 105, 155)(102, 152, 107, 157, 115, 165, 123, 173, 131, 181, 139, 189, 147, 197, 150, 200, 142, 192, 134, 184, 126, 176, 118, 168, 110, 160, 108, 158, 116, 166, 124, 174, 132, 182, 140, 190, 148, 198, 149, 199, 141, 191, 133, 183, 125, 175, 117, 167, 109, 159)
	L = (1, 104)(2, 108)(3, 112)(4, 103)(5, 106)(6, 101)(7, 116)(8, 107)(9, 110)(10, 102)(11, 120)(12, 111)(13, 114)(14, 105)(15, 124)(16, 115)(17, 118)(18, 109)(19, 128)(20, 119)(21, 122)(22, 113)(23, 132)(24, 123)(25, 126)(26, 117)(27, 136)(28, 127)(29, 130)(30, 121)(31, 140)(32, 131)(33, 134)(34, 125)(35, 144)(36, 135)(37, 138)(38, 129)(39, 148)(40, 139)(41, 142)(42, 133)(43, 145)(44, 143)(45, 146)(46, 137)(47, 149)(48, 147)(49, 150)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 50, 4, 50 ), ( 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.914
Graph:: bipartite
	v = 27 e = 100 f = 27
	degree seq :: [ 4^25, 50^2 ]

E24.929 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-2, T2^24 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 6, 12, 15, 20, 23, 28, 31, 36, 39, 44, 47, 50, 45, 42, 37, 34, 29, 26, 21, 18, 13, 10, 4, 8, 2, 7, 11, 16, 19, 24, 27, 32, 35, 40, 43, 48, 49, 46, 41, 38, 33, 30, 25, 22, 17, 14, 9, 5)(51, 52, 56, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 99, 95, 91, 87, 83, 79, 75, 71, 67, 63, 59, 54)(53, 57, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, 100, 96, 92, 88, 84, 80, 76, 72, 68, 64, 60, 55, 58)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.964
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.930 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-4 * T2^2 * T1^-2, T2 * T1 * T2^7, (T1^-1 * T2^-1)^50 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 37, 24, 12, 4, 10, 20, 34, 44, 46, 36, 23, 11, 21, 26, 39, 47, 50, 45, 35, 22, 28, 14, 27, 40, 48, 49, 42, 30, 16, 6, 15, 29, 41, 43, 32, 18, 8, 2, 7, 17, 31, 38, 25, 13, 5)(51, 52, 56, 64, 76, 70, 59, 67, 79, 90, 97, 94, 83, 88, 93, 99, 95, 86, 74, 63, 68, 80, 72, 61, 54)(53, 57, 65, 77, 89, 84, 69, 81, 91, 98, 100, 96, 87, 75, 82, 92, 85, 73, 62, 55, 58, 66, 78, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.963
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.931 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (T2, T1), (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-5, T2^-8 * T1, T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-3 * T1, T1^91 * T2^-2 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 32, 18, 8, 2, 7, 17, 31, 43, 42, 30, 16, 6, 15, 29, 41, 49, 48, 40, 28, 14, 27, 22, 36, 45, 50, 47, 39, 26, 23, 11, 21, 35, 44, 46, 37, 24, 12, 4, 10, 20, 34, 38, 25, 13, 5)(51, 52, 56, 64, 76, 74, 63, 68, 80, 90, 97, 96, 88, 83, 93, 99, 95, 85, 70, 59, 67, 79, 72, 61, 54)(53, 57, 65, 77, 73, 62, 55, 58, 66, 78, 89, 87, 75, 82, 92, 98, 100, 94, 84, 69, 81, 91, 86, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.965
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.932 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^2 * T2^-2, T1^6 * T2 * T1 * T2 * T1^4, (T1^-1 * T2^-1)^50 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 45, 42, 47, 38, 41, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 44, 50, 48, 39, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 43, 46, 49, 40, 31, 22, 25, 13, 5)(51, 52, 56, 64, 76, 84, 92, 98, 90, 82, 74, 63, 68, 70, 59, 67, 78, 86, 94, 96, 88, 80, 72, 61, 54)(53, 57, 65, 77, 85, 93, 97, 89, 81, 73, 62, 55, 58, 66, 69, 79, 87, 95, 100, 99, 91, 83, 75, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.960
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.933 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-4, T1^-11 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 49, 43, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 47, 50, 44, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 48, 42, 45, 36, 27, 14, 25, 13, 5)(51, 52, 56, 64, 76, 84, 92, 97, 89, 81, 70, 59, 67, 74, 63, 68, 78, 86, 94, 99, 91, 83, 72, 61, 54)(53, 57, 65, 75, 79, 87, 95, 100, 96, 88, 80, 69, 73, 62, 55, 58, 66, 77, 85, 93, 98, 90, 82, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.962
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.934 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^6 * T2^-1 * T1 * T2^-1, T1^-2 * T2^-1 * T1^-1 * T2^-5 * T1^-1, T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-4, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 48, 37, 28, 14, 27, 43, 40, 24, 12, 4, 10, 20, 34, 49, 45, 30, 16, 6, 15, 29, 44, 39, 23, 11, 21, 35, 50, 47, 32, 18, 8, 2, 7, 17, 31, 46, 38, 22, 36, 26, 42, 41, 25, 13, 5)(51, 52, 56, 64, 76, 85, 70, 59, 67, 79, 93, 91, 97, 99, 83, 96, 89, 74, 63, 68, 80, 87, 72, 61, 54)(53, 57, 65, 77, 92, 100, 84, 69, 81, 94, 90, 75, 82, 95, 98, 88, 73, 62, 55, 58, 66, 78, 86, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.961
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.935 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1^-1), T2^2 * T1^3, T1 * T2^-16 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 46, 45, 39, 33, 27, 21, 15, 8, 2, 7, 11, 18, 24, 30, 36, 42, 48, 50, 44, 38, 32, 26, 20, 14, 6, 12, 4, 10, 17, 23, 29, 35, 41, 47, 49, 43, 37, 31, 25, 19, 13, 5)(51, 52, 56, 63, 65, 70, 75, 77, 82, 87, 89, 94, 99, 96, 98, 91, 84, 86, 79, 72, 74, 67, 59, 61, 54)(53, 57, 62, 55, 58, 64, 69, 71, 76, 81, 83, 88, 93, 95, 100, 97, 90, 92, 85, 78, 80, 73, 66, 68, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.958
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.936 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^25, (T2^-1 * T1^-1)^50 ]
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, 47, 46, 50, 48, 49, 44, 45, 40, 41, 36, 37, 32, 33, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(51, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 98, 94, 90, 86, 82, 78, 74, 70, 66, 62, 58, 54)(53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 100, 99, 95, 91, 87, 83, 79, 75, 71, 67, 63, 59, 55)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.957
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.937 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^25 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 36, 37, 40, 41, 44, 45, 48, 49, 50, 46, 47, 42, 43, 38, 39, 34, 35, 30, 31, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(51, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 99, 95, 91, 87, 83, 79, 75, 71, 67, 63, 59, 54)(53, 55, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 100, 98, 94, 90, 86, 82, 78, 74, 70, 66, 62, 58)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.959
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.938 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T2^3 * T1^-1 * T2 * T1^-1 * T2^2, T1^7 * T2^4, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 44, 47, 41, 26, 40, 49, 36, 22, 34, 45, 38, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 43, 28, 14, 27, 42, 48, 35, 46, 39, 50, 37, 23, 11, 21, 33, 25, 13, 5)(51, 52, 56, 64, 76, 89, 95, 83, 70, 59, 67, 79, 92, 99, 87, 74, 63, 68, 80, 93, 97, 85, 72, 61, 54)(53, 57, 65, 77, 90, 100, 88, 75, 82, 69, 81, 94, 98, 86, 73, 62, 55, 58, 66, 78, 91, 96, 84, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.954
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.939 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-5 * T1^-1, T1^6 * T2^-1 * T1 * T2^-3, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 * T2^3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 46, 39, 50, 37, 48, 43, 28, 14, 27, 42, 32, 18, 8, 2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 45, 38, 22, 36, 47, 41, 26, 40, 49, 44, 30, 16, 6, 15, 29, 25, 13, 5)(51, 52, 56, 64, 76, 89, 95, 83, 74, 63, 68, 80, 93, 97, 85, 70, 59, 67, 79, 92, 99, 87, 72, 61, 54)(53, 57, 65, 77, 90, 100, 88, 73, 62, 55, 58, 66, 78, 91, 96, 84, 69, 81, 75, 82, 94, 98, 86, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.956
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.940 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T1^4 * T2^-1 * T1 * T2^-1 * T1^7, (T2^2 * T1^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 26, 29, 20, 27, 34, 37, 28, 35, 42, 45, 36, 43, 46, 50, 44, 48, 38, 47, 49, 40, 30, 39, 41, 32, 22, 31, 33, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(51, 52, 56, 64, 72, 80, 88, 96, 92, 84, 76, 68, 59, 63, 67, 75, 83, 91, 99, 94, 86, 78, 70, 61, 54)(53, 57, 65, 73, 81, 89, 97, 100, 95, 87, 79, 71, 62, 55, 58, 66, 74, 82, 90, 98, 93, 85, 77, 69, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.955
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.941 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-1 * T2^-2 * T1 * T2^2, T2^-6 * T1, T1 * T2 * T1^7 * T2, T1^3 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 ]
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, 49, 48, 40, 26, 39, 34, 45, 50, 47, 38, 35, 22, 33, 44, 46, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(51, 52, 56, 64, 76, 88, 86, 74, 63, 68, 80, 92, 98, 100, 94, 82, 70, 59, 67, 79, 91, 84, 72, 61, 54)(53, 57, 65, 77, 89, 85, 73, 62, 55, 58, 66, 78, 90, 97, 96, 87, 75, 69, 81, 93, 99, 95, 83, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.952
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.942 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-12 * T1, T1 * T2^-1 * T1 * T2^-4 * T1^2 * T2^-5 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 43, 42, 34, 26, 18, 8, 2, 7, 17, 25, 33, 41, 49, 48, 40, 32, 24, 16, 6, 15, 11, 21, 29, 37, 45, 50, 47, 39, 31, 23, 14, 12, 4, 10, 20, 28, 36, 44, 46, 38, 30, 22, 13, 5)(51, 52, 56, 64, 63, 68, 74, 81, 80, 84, 90, 97, 96, 93, 99, 95, 86, 77, 83, 79, 70, 59, 67, 61, 54)(53, 57, 65, 62, 55, 58, 66, 73, 72, 76, 82, 89, 88, 92, 98, 100, 94, 85, 91, 87, 78, 69, 75, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.951
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.943 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T2^12 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 43, 45, 37, 29, 21, 12, 4, 10, 14, 23, 31, 39, 47, 50, 44, 36, 28, 20, 11, 16, 6, 15, 24, 32, 40, 48, 49, 42, 34, 26, 18, 8, 2, 7, 17, 25, 33, 41, 46, 38, 30, 22, 13, 5)(51, 52, 56, 64, 59, 67, 74, 81, 77, 83, 90, 97, 93, 96, 99, 94, 87, 80, 84, 78, 71, 63, 68, 61, 54)(53, 57, 65, 73, 69, 75, 82, 89, 85, 91, 98, 100, 95, 88, 92, 86, 79, 72, 76, 70, 62, 55, 58, 66, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^25 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.953
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 1
	degree seq :: [ 25^2, 50 ]

E24.944 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^16, (T2^-1 * T1^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 50, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 46, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 48, 47, 41, 35, 29, 23, 17, 11, 5)(51, 52, 56, 53, 57, 62, 59, 63, 68, 65, 69, 74, 71, 75, 80, 77, 81, 86, 83, 87, 92, 89, 93, 98, 95, 99, 97, 100, 96, 91, 94, 90, 85, 88, 84, 79, 82, 78, 73, 76, 72, 67, 70, 66, 61, 64, 60, 55, 58, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.970
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.945 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-16 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 48, 42, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 40, 46, 50, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 47, 41, 35, 29, 23, 17, 11, 5)(51, 52, 56, 55, 58, 62, 61, 64, 68, 67, 70, 74, 73, 76, 80, 79, 82, 86, 85, 88, 92, 91, 94, 98, 97, 100, 95, 99, 96, 89, 93, 90, 83, 87, 84, 77, 81, 78, 71, 75, 72, 65, 69, 66, 59, 63, 60, 53, 57, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.967
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.946 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2^-3 * T1 * T2^3, T2 * T1^-3 * T2^-1 * T1^3, T1^-2 * T2 * T1^-5, T2^-5 * T1^-1 * T2^-2, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 24, 12, 4, 10, 20, 34, 43, 37, 23, 11, 21, 35, 44, 49, 45, 36, 22, 26, 38, 46, 50, 48, 40, 28, 14, 27, 39, 47, 42, 30, 16, 6, 15, 29, 41, 32, 18, 8, 2, 7, 17, 31, 25, 13, 5)(51, 52, 56, 64, 76, 71, 60, 53, 57, 65, 77, 88, 85, 70, 59, 67, 79, 89, 96, 94, 84, 69, 81, 91, 97, 100, 99, 93, 83, 75, 82, 92, 98, 95, 87, 74, 63, 68, 80, 90, 86, 73, 62, 55, 58, 66, 78, 72, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.971
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.947 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^-3 * T1^-1 * T2^-3 * T1^-3, T1^-3 * T2^-1 * T1^-6, T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 * T2 * T1^-1 * T2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 37, 50, 32, 18, 8, 2, 7, 17, 31, 49, 38, 22, 36, 48, 30, 16, 6, 15, 29, 47, 39, 23, 11, 21, 35, 46, 28, 14, 27, 45, 40, 24, 12, 4, 10, 20, 34, 44, 26, 43, 41, 25, 13, 5)(51, 52, 56, 64, 76, 92, 88, 73, 62, 55, 58, 66, 78, 94, 83, 99, 89, 74, 63, 68, 80, 96, 84, 69, 81, 97, 90, 75, 82, 98, 85, 70, 59, 67, 79, 95, 91, 100, 86, 71, 60, 53, 57, 65, 77, 93, 87, 72, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.972
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.948 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-3 * T1, T1^-3 * T2^-2 * T1^-1 * T2^-1 * T1^-7, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 49, 39, 48, 45, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 50, 44, 47, 46, 37, 28, 35, 30, 21, 11, 19, 13, 5)(51, 52, 56, 64, 73, 81, 89, 97, 93, 85, 77, 69, 60, 53, 57, 65, 74, 82, 90, 98, 96, 88, 80, 72, 63, 68, 59, 67, 76, 84, 92, 100, 95, 87, 79, 71, 62, 55, 58, 66, 75, 83, 91, 99, 94, 86, 78, 70, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.969
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.949 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-3, T2^2 * T1^-1 * T2 * T1^-10, T1^-3 * T2^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 47, 46, 50, 41, 31, 40, 34, 25, 14, 24, 18, 8, 2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 45, 49, 39, 48, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(51, 52, 56, 64, 73, 81, 89, 97, 93, 85, 77, 69, 62, 55, 58, 66, 75, 83, 91, 99, 94, 86, 78, 70, 59, 67, 63, 68, 76, 84, 92, 100, 95, 87, 79, 71, 60, 53, 57, 65, 74, 82, 90, 98, 96, 88, 80, 72, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.966
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.950 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {25, 50, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-2 * T2^5 * T1^-3, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-7 * T1^-1, T2^4 * T1^26 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 39, 23, 11, 21, 35, 46, 28, 14, 27, 45, 37, 50, 32, 18, 8, 2, 7, 17, 31, 49, 40, 24, 12, 4, 10, 20, 34, 44, 26, 43, 38, 22, 36, 48, 30, 16, 6, 15, 29, 47, 41, 25, 13, 5)(51, 52, 56, 64, 76, 92, 90, 75, 82, 98, 85, 70, 59, 67, 79, 95, 88, 73, 62, 55, 58, 66, 78, 94, 83, 99, 91, 100, 86, 71, 60, 53, 57, 65, 77, 93, 89, 74, 63, 68, 80, 96, 84, 69, 81, 97, 87, 72, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.968
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.951 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-2, T2^24 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 6, 56, 12, 62, 15, 65, 20, 70, 23, 73, 28, 78, 31, 81, 36, 86, 39, 89, 44, 94, 47, 97, 50, 100, 45, 95, 42, 92, 37, 87, 34, 84, 29, 79, 26, 76, 21, 71, 18, 68, 13, 63, 10, 60, 4, 54, 8, 58, 2, 52, 7, 57, 11, 61, 16, 66, 19, 69, 24, 74, 27, 77, 32, 82, 35, 85, 40, 90, 43, 93, 48, 98, 49, 99, 46, 96, 41, 91, 38, 88, 33, 83, 30, 80, 25, 75, 22, 72, 17, 67, 14, 64, 9, 59, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 61)(7, 62)(8, 53)(9, 54)(10, 55)(11, 65)(12, 66)(13, 59)(14, 60)(15, 69)(16, 70)(17, 63)(18, 64)(19, 73)(20, 74)(21, 67)(22, 68)(23, 77)(24, 78)(25, 71)(26, 72)(27, 81)(28, 82)(29, 75)(30, 76)(31, 85)(32, 86)(33, 79)(34, 80)(35, 89)(36, 90)(37, 83)(38, 84)(39, 93)(40, 94)(41, 87)(42, 88)(43, 97)(44, 98)(45, 91)(46, 92)(47, 99)(48, 100)(49, 95)(50, 96)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.942
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.952 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-4 * T2^2 * T1^-2, T2 * T1 * T2^7, (T1^-1 * T2^-1)^50 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 37, 87, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 44, 94, 46, 96, 36, 86, 23, 73, 11, 61, 21, 71, 26, 76, 39, 89, 47, 97, 50, 100, 45, 95, 35, 85, 22, 72, 28, 78, 14, 64, 27, 77, 40, 90, 48, 98, 49, 99, 42, 92, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 41, 91, 43, 93, 32, 82, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 31, 81, 38, 88, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 70)(27, 89)(28, 71)(29, 90)(30, 72)(31, 91)(32, 92)(33, 88)(34, 69)(35, 73)(36, 74)(37, 75)(38, 93)(39, 84)(40, 97)(41, 98)(42, 85)(43, 99)(44, 83)(45, 86)(46, 87)(47, 94)(48, 100)(49, 95)(50, 96)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.941
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.953 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (T2, T1), (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-5, T2^-8 * T1, T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-3 * T1, T1^91 * T2^-2 * T1^3 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 32, 82, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 31, 81, 43, 93, 42, 92, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 41, 91, 49, 99, 48, 98, 40, 90, 28, 78, 14, 64, 27, 77, 22, 72, 36, 86, 45, 95, 50, 100, 47, 97, 39, 89, 26, 76, 23, 73, 11, 61, 21, 71, 35, 85, 44, 94, 46, 96, 37, 87, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 38, 88, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 74)(27, 73)(28, 89)(29, 72)(30, 90)(31, 91)(32, 92)(33, 93)(34, 69)(35, 70)(36, 71)(37, 75)(38, 83)(39, 87)(40, 97)(41, 86)(42, 98)(43, 99)(44, 84)(45, 85)(46, 88)(47, 96)(48, 100)(49, 95)(50, 94)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.943
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.954 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^2 * T2^-2, T1^6 * T2 * T1 * T2 * T1^4, (T1^-1 * T2^-1)^50 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 14, 64, 27, 77, 36, 86, 45, 95, 42, 92, 47, 97, 38, 88, 41, 91, 32, 82, 23, 73, 11, 61, 21, 71, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 29, 79, 26, 76, 35, 85, 44, 94, 50, 100, 48, 98, 39, 89, 30, 80, 33, 83, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 16, 66, 6, 56, 15, 65, 28, 78, 37, 87, 34, 84, 43, 93, 46, 96, 49, 99, 40, 90, 31, 81, 22, 72, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 69)(17, 78)(18, 70)(19, 79)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 71)(26, 84)(27, 85)(28, 86)(29, 87)(30, 72)(31, 73)(32, 74)(33, 75)(34, 92)(35, 93)(36, 94)(37, 95)(38, 80)(39, 81)(40, 82)(41, 83)(42, 98)(43, 97)(44, 96)(45, 100)(46, 88)(47, 89)(48, 90)(49, 91)(50, 99)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.938
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.955 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-4, T1^-11 * T2^2 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 22, 72, 32, 82, 39, 89, 46, 96, 49, 99, 43, 93, 34, 84, 37, 87, 28, 78, 16, 66, 6, 56, 15, 65, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 30, 80, 33, 83, 40, 90, 47, 97, 50, 100, 44, 94, 35, 85, 26, 76, 29, 79, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 23, 73, 11, 61, 21, 71, 31, 81, 38, 88, 41, 91, 48, 98, 42, 92, 45, 95, 36, 86, 27, 77, 14, 64, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 75)(16, 77)(17, 74)(18, 78)(19, 73)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 79)(26, 84)(27, 85)(28, 86)(29, 87)(30, 69)(31, 70)(32, 71)(33, 72)(34, 92)(35, 93)(36, 94)(37, 95)(38, 80)(39, 81)(40, 82)(41, 83)(42, 97)(43, 98)(44, 99)(45, 100)(46, 88)(47, 89)(48, 90)(49, 91)(50, 96)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.940
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.956 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^6 * T2^-1 * T1 * T2^-1, T1^-2 * T2^-1 * T1^-1 * T2^-5 * T1^-1, T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-4, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 48, 98, 37, 87, 28, 78, 14, 64, 27, 77, 43, 93, 40, 90, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 49, 99, 45, 95, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 44, 94, 39, 89, 23, 73, 11, 61, 21, 71, 35, 85, 50, 100, 47, 97, 32, 82, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 31, 81, 46, 96, 38, 88, 22, 72, 36, 86, 26, 76, 42, 92, 41, 91, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 85)(27, 92)(28, 86)(29, 93)(30, 87)(31, 94)(32, 95)(33, 96)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 74)(40, 75)(41, 97)(42, 100)(43, 91)(44, 90)(45, 98)(46, 89)(47, 99)(48, 88)(49, 83)(50, 84)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.939
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.957 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1^-1), T2^2 * T1^3, T1 * T2^-16 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 16, 66, 22, 72, 28, 78, 34, 84, 40, 90, 46, 96, 45, 95, 39, 89, 33, 83, 27, 77, 21, 71, 15, 65, 8, 58, 2, 52, 7, 57, 11, 61, 18, 68, 24, 74, 30, 80, 36, 86, 42, 92, 48, 98, 50, 100, 44, 94, 38, 88, 32, 82, 26, 76, 20, 70, 14, 64, 6, 56, 12, 62, 4, 54, 10, 60, 17, 67, 23, 73, 29, 79, 35, 85, 41, 91, 47, 97, 49, 99, 43, 93, 37, 87, 31, 81, 25, 75, 19, 69, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 63)(7, 62)(8, 64)(9, 61)(10, 53)(11, 54)(12, 55)(13, 65)(14, 69)(15, 70)(16, 68)(17, 59)(18, 60)(19, 71)(20, 75)(21, 76)(22, 74)(23, 66)(24, 67)(25, 77)(26, 81)(27, 82)(28, 80)(29, 72)(30, 73)(31, 83)(32, 87)(33, 88)(34, 86)(35, 78)(36, 79)(37, 89)(38, 93)(39, 94)(40, 92)(41, 84)(42, 85)(43, 95)(44, 99)(45, 100)(46, 98)(47, 90)(48, 91)(49, 96)(50, 97)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.936
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.958 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^25, (T2^-1 * T1^-1)^50 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 2, 52, 7, 57, 6, 56, 11, 61, 10, 60, 15, 65, 14, 64, 19, 69, 18, 68, 23, 73, 22, 72, 27, 77, 26, 76, 31, 81, 30, 80, 35, 85, 34, 84, 39, 89, 38, 88, 43, 93, 42, 92, 47, 97, 46, 96, 50, 100, 48, 98, 49, 99, 44, 94, 45, 95, 40, 90, 41, 91, 36, 86, 37, 87, 32, 82, 33, 83, 28, 78, 29, 79, 24, 74, 25, 75, 20, 70, 21, 71, 16, 66, 17, 67, 12, 62, 13, 63, 8, 58, 9, 59, 4, 54, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 53)(6, 60)(7, 61)(8, 54)(9, 55)(10, 64)(11, 65)(12, 58)(13, 59)(14, 68)(15, 69)(16, 62)(17, 63)(18, 72)(19, 73)(20, 66)(21, 67)(22, 76)(23, 77)(24, 70)(25, 71)(26, 80)(27, 81)(28, 74)(29, 75)(30, 84)(31, 85)(32, 78)(33, 79)(34, 88)(35, 89)(36, 82)(37, 83)(38, 92)(39, 93)(40, 86)(41, 87)(42, 96)(43, 97)(44, 90)(45, 91)(46, 98)(47, 100)(48, 94)(49, 95)(50, 99)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.935
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.959 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^25 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 4, 54, 8, 58, 9, 59, 12, 62, 13, 63, 16, 66, 17, 67, 20, 70, 21, 71, 24, 74, 25, 75, 28, 78, 29, 79, 32, 82, 33, 83, 36, 86, 37, 87, 40, 90, 41, 91, 44, 94, 45, 95, 48, 98, 49, 99, 50, 100, 46, 96, 47, 97, 42, 92, 43, 93, 38, 88, 39, 89, 34, 84, 35, 85, 30, 80, 31, 81, 26, 76, 27, 77, 22, 72, 23, 73, 18, 68, 19, 69, 14, 64, 15, 65, 10, 60, 11, 61, 6, 56, 7, 57, 2, 52, 5, 55)
	L = (1, 52)(2, 56)(3, 55)(4, 51)(5, 57)(6, 60)(7, 61)(8, 53)(9, 54)(10, 64)(11, 65)(12, 58)(13, 59)(14, 68)(15, 69)(16, 62)(17, 63)(18, 72)(19, 73)(20, 66)(21, 67)(22, 76)(23, 77)(24, 70)(25, 71)(26, 80)(27, 81)(28, 74)(29, 75)(30, 84)(31, 85)(32, 78)(33, 79)(34, 88)(35, 89)(36, 82)(37, 83)(38, 92)(39, 93)(40, 86)(41, 87)(42, 96)(43, 97)(44, 90)(45, 91)(46, 99)(47, 100)(48, 94)(49, 95)(50, 98)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.937
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.960 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T2^3 * T1^-1 * T2 * T1^-1 * T2^2, T1^7 * T2^4, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 44, 94, 47, 97, 41, 91, 26, 76, 40, 90, 49, 99, 36, 86, 22, 72, 34, 84, 45, 95, 38, 88, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 32, 82, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 31, 81, 43, 93, 28, 78, 14, 64, 27, 77, 42, 92, 48, 98, 35, 85, 46, 96, 39, 89, 50, 100, 37, 87, 23, 73, 11, 61, 21, 71, 33, 83, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(38, 75)(39, 95)(40, 100)(41, 96)(42, 99)(43, 97)(44, 98)(45, 83)(46, 84)(47, 85)(48, 86)(49, 87)(50, 88)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.932
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.961 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-5 * T1^-1, T1^6 * T2^-1 * T1 * T2^-3, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 * T2^3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 23, 73, 11, 61, 21, 71, 35, 85, 46, 96, 39, 89, 50, 100, 37, 87, 48, 98, 43, 93, 28, 78, 14, 64, 27, 77, 42, 92, 32, 82, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 31, 81, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 45, 95, 38, 88, 22, 72, 36, 86, 47, 97, 41, 91, 26, 76, 40, 90, 49, 99, 44, 94, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 75)(32, 94)(33, 74)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 95)(40, 100)(41, 96)(42, 99)(43, 97)(44, 98)(45, 83)(46, 84)(47, 85)(48, 86)(49, 87)(50, 88)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.934
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.962 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T1^4 * T2^-1 * T1 * T2^-1 * T1^7, (T2^2 * T1^-1)^25 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 12, 62, 4, 54, 10, 60, 18, 68, 21, 71, 11, 61, 19, 69, 26, 76, 29, 79, 20, 70, 27, 77, 34, 84, 37, 87, 28, 78, 35, 85, 42, 92, 45, 95, 36, 86, 43, 93, 46, 96, 50, 100, 44, 94, 48, 98, 38, 88, 47, 97, 49, 99, 40, 90, 30, 80, 39, 89, 41, 91, 32, 82, 22, 72, 31, 81, 33, 83, 24, 74, 14, 64, 23, 73, 25, 75, 16, 66, 6, 56, 15, 65, 17, 67, 8, 58, 2, 52, 7, 57, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 63)(10, 53)(11, 54)(12, 55)(13, 67)(14, 72)(15, 73)(16, 74)(17, 75)(18, 59)(19, 60)(20, 61)(21, 62)(22, 80)(23, 81)(24, 82)(25, 83)(26, 68)(27, 69)(28, 70)(29, 71)(30, 88)(31, 89)(32, 90)(33, 91)(34, 76)(35, 77)(36, 78)(37, 79)(38, 96)(39, 97)(40, 98)(41, 99)(42, 84)(43, 85)(44, 86)(45, 87)(46, 92)(47, 100)(48, 93)(49, 94)(50, 95)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.933
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.963 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-1 * T2^-2 * T1 * T2^2, T2^-6 * T1, T1 * T2 * T1^7 * T2, T1^3 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 31, 81, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 43, 93, 42, 92, 28, 78, 14, 64, 27, 77, 41, 91, 49, 99, 48, 98, 40, 90, 26, 76, 39, 89, 34, 84, 45, 95, 50, 100, 47, 97, 38, 88, 35, 85, 22, 72, 33, 83, 44, 94, 46, 96, 36, 86, 23, 73, 11, 61, 21, 71, 32, 82, 37, 87, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 69)(26, 88)(27, 89)(28, 90)(29, 91)(30, 92)(31, 93)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 86)(39, 85)(40, 97)(41, 84)(42, 98)(43, 99)(44, 82)(45, 83)(46, 87)(47, 96)(48, 100)(49, 95)(50, 94)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.930
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.964 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-12 * T1, T1 * T2^-1 * T1 * T2^-4 * T1^2 * T2^-5 * T1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 27, 77, 35, 85, 43, 93, 42, 92, 34, 84, 26, 76, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 25, 75, 33, 83, 41, 91, 49, 99, 48, 98, 40, 90, 32, 82, 24, 74, 16, 66, 6, 56, 15, 65, 11, 61, 21, 71, 29, 79, 37, 87, 45, 95, 50, 100, 47, 97, 39, 89, 31, 81, 23, 73, 14, 64, 12, 62, 4, 54, 10, 60, 20, 70, 28, 78, 36, 86, 44, 94, 46, 96, 38, 88, 30, 80, 22, 72, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 63)(15, 62)(16, 73)(17, 61)(18, 74)(19, 75)(20, 59)(21, 60)(22, 76)(23, 72)(24, 81)(25, 71)(26, 82)(27, 83)(28, 69)(29, 70)(30, 84)(31, 80)(32, 89)(33, 79)(34, 90)(35, 91)(36, 77)(37, 78)(38, 92)(39, 88)(40, 97)(41, 87)(42, 98)(43, 99)(44, 85)(45, 86)(46, 93)(47, 96)(48, 100)(49, 95)(50, 94)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.929
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.965 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T2^12 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 27, 77, 35, 85, 43, 93, 45, 95, 37, 87, 29, 79, 21, 71, 12, 62, 4, 54, 10, 60, 14, 64, 23, 73, 31, 81, 39, 89, 47, 97, 50, 100, 44, 94, 36, 86, 28, 78, 20, 70, 11, 61, 16, 66, 6, 56, 15, 65, 24, 74, 32, 82, 40, 90, 48, 98, 49, 99, 42, 92, 34, 84, 26, 76, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 25, 75, 33, 83, 41, 91, 46, 96, 38, 88, 30, 80, 22, 72, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 59)(15, 73)(16, 60)(17, 74)(18, 61)(19, 75)(20, 62)(21, 63)(22, 76)(23, 69)(24, 81)(25, 82)(26, 70)(27, 83)(28, 71)(29, 72)(30, 84)(31, 77)(32, 89)(33, 90)(34, 78)(35, 91)(36, 79)(37, 80)(38, 92)(39, 85)(40, 97)(41, 98)(42, 86)(43, 96)(44, 87)(45, 88)(46, 99)(47, 93)(48, 100)(49, 94)(50, 95)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.931
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 3
	degree seq :: [ 100 ]

E24.966 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2^-1, T2^11 * T1 * T2^-11 * T1^-1, T1^2 * T2^23, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 6, 56, 12, 62, 15, 65, 20, 70, 23, 73, 28, 78, 31, 81, 36, 86, 39, 89, 44, 94, 47, 97, 49, 99, 46, 96, 41, 91, 38, 88, 33, 83, 30, 80, 25, 75, 22, 72, 17, 67, 14, 64, 9, 59, 5, 55)(2, 52, 7, 57, 11, 61, 16, 66, 19, 69, 24, 74, 27, 77, 32, 82, 35, 85, 40, 90, 43, 93, 48, 98, 50, 100, 45, 95, 42, 92, 37, 87, 34, 84, 29, 79, 26, 76, 21, 71, 18, 68, 13, 63, 10, 60, 4, 54, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 61)(7, 62)(8, 53)(9, 54)(10, 55)(11, 65)(12, 66)(13, 59)(14, 60)(15, 69)(16, 70)(17, 63)(18, 64)(19, 73)(20, 74)(21, 67)(22, 68)(23, 77)(24, 78)(25, 71)(26, 72)(27, 81)(28, 82)(29, 75)(30, 76)(31, 85)(32, 86)(33, 79)(34, 80)(35, 89)(36, 90)(37, 83)(38, 84)(39, 93)(40, 94)(41, 87)(42, 88)(43, 97)(44, 98)(45, 91)(46, 92)(47, 100)(48, 99)(49, 95)(50, 96)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.949
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.967 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^25, (T2^-1 * T1^-1)^50 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 7, 57, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 93, 47, 97, 49, 99, 45, 95, 41, 91, 37, 87, 33, 83, 29, 79, 25, 75, 21, 71, 17, 67, 13, 63, 9, 59, 5, 55)(2, 52, 6, 56, 10, 60, 14, 64, 18, 68, 22, 72, 26, 76, 30, 80, 34, 84, 38, 88, 42, 92, 46, 96, 50, 100, 48, 98, 44, 94, 40, 90, 36, 86, 32, 82, 28, 78, 24, 74, 20, 70, 16, 66, 12, 62, 8, 58, 4, 54)
	L = (1, 52)(2, 53)(3, 56)(4, 51)(5, 54)(6, 57)(7, 60)(8, 55)(9, 58)(10, 61)(11, 64)(12, 59)(13, 62)(14, 65)(15, 68)(16, 63)(17, 66)(18, 69)(19, 72)(20, 67)(21, 70)(22, 73)(23, 76)(24, 71)(25, 74)(26, 77)(27, 80)(28, 75)(29, 78)(30, 81)(31, 84)(32, 79)(33, 82)(34, 85)(35, 88)(36, 83)(37, 86)(38, 89)(39, 92)(40, 87)(41, 90)(42, 93)(43, 96)(44, 91)(45, 94)(46, 97)(47, 100)(48, 95)(49, 98)(50, 99)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.945
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.968 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2 * T1^-5, T2 * T1 * T2^6 * T1^3, T2^-4 * T1 * T2^-5 * T1, (T1^-1 * T2^-1)^50 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 45, 95, 42, 92, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 41, 91, 48, 98, 36, 86, 23, 73, 11, 61, 21, 71, 26, 76, 39, 89, 50, 100, 38, 88, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 43, 93, 47, 97, 35, 85, 22, 72, 28, 78, 14, 64, 27, 77, 40, 90, 49, 99, 37, 87, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 46, 96, 44, 94, 32, 82, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 70)(27, 89)(28, 71)(29, 90)(30, 72)(31, 91)(32, 92)(33, 93)(34, 69)(35, 73)(36, 74)(37, 75)(38, 94)(39, 84)(40, 100)(41, 99)(42, 85)(43, 98)(44, 95)(45, 97)(46, 83)(47, 86)(48, 87)(49, 88)(50, 96)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.950
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.969 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^-5 * T2^-1, T2^3 * T1 * T2^5 * T1 * T2, T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-2 * T1, T1^91 * T2^-2 * T1^3 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 45, 95, 39, 89, 26, 76, 23, 73, 11, 61, 21, 71, 35, 85, 47, 97, 42, 92, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 41, 91, 50, 100, 38, 88, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 43, 93, 49, 99, 37, 87, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 46, 96, 40, 90, 28, 78, 14, 64, 27, 77, 22, 72, 36, 86, 48, 98, 44, 94, 32, 82, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 74)(27, 73)(28, 89)(29, 72)(30, 90)(31, 91)(32, 92)(33, 93)(34, 69)(35, 70)(36, 71)(37, 75)(38, 94)(39, 87)(40, 95)(41, 86)(42, 96)(43, 100)(44, 97)(45, 99)(46, 83)(47, 84)(48, 85)(49, 88)(50, 98)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.948
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.970 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1 * T2 * T1^3, T1 * T2^-1 * T1 * T2^-11, T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 17, 67, 25, 75, 33, 83, 41, 91, 46, 96, 38, 88, 30, 80, 22, 72, 14, 64, 6, 56, 11, 61, 19, 69, 27, 77, 35, 85, 43, 93, 49, 99, 45, 95, 37, 87, 29, 79, 21, 71, 13, 63, 5, 55)(2, 52, 7, 57, 15, 65, 23, 73, 31, 81, 39, 89, 47, 97, 50, 100, 44, 94, 36, 86, 28, 78, 20, 70, 12, 62, 4, 54, 10, 60, 18, 68, 26, 76, 34, 84, 42, 92, 48, 98, 40, 90, 32, 82, 24, 74, 16, 66, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 62)(7, 61)(8, 64)(9, 65)(10, 53)(11, 54)(12, 55)(13, 66)(14, 70)(15, 69)(16, 72)(17, 73)(18, 59)(19, 60)(20, 63)(21, 74)(22, 78)(23, 77)(24, 80)(25, 81)(26, 67)(27, 68)(28, 71)(29, 82)(30, 86)(31, 85)(32, 88)(33, 89)(34, 75)(35, 76)(36, 79)(37, 90)(38, 94)(39, 93)(40, 96)(41, 97)(42, 83)(43, 84)(44, 87)(45, 98)(46, 100)(47, 99)(48, 91)(49, 92)(50, 95)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.944
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.971 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-1 * T2 * 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^-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, 51, 3, 53, 9, 59, 19, 69, 31, 81, 43, 93, 35, 85, 23, 73, 11, 61, 21, 71, 33, 83, 45, 95, 50, 100, 48, 98, 40, 90, 28, 78, 16, 66, 6, 56, 15, 65, 27, 77, 39, 89, 37, 87, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 29, 79, 41, 91, 36, 86, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 32, 82, 44, 94, 49, 99, 46, 96, 34, 84, 22, 72, 14, 64, 26, 76, 38, 88, 47, 97, 42, 92, 30, 80, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 71)(15, 76)(16, 72)(17, 77)(18, 78)(19, 79)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 80)(26, 83)(27, 88)(28, 84)(29, 89)(30, 90)(31, 91)(32, 69)(33, 70)(34, 73)(35, 74)(36, 75)(37, 92)(38, 95)(39, 97)(40, 96)(41, 87)(42, 98)(43, 86)(44, 81)(45, 82)(46, 85)(47, 100)(48, 99)(49, 93)(50, 94)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.946
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.972 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {25, 50, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-4, T1 * T2^-1 * T1^7, T2^-1 * T1^-2 * T2^14 * T1^-2, T2^91 * T1^-2 * T2^3 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 23, 73, 11, 61, 21, 71, 35, 85, 44, 94, 49, 99, 46, 96, 37, 87, 26, 76, 39, 89, 47, 97, 42, 92, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 43, 93, 38, 88, 22, 72, 36, 86, 45, 95, 50, 100, 48, 98, 41, 91, 28, 78, 14, 64, 27, 77, 40, 90, 32, 82, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 86)(27, 89)(28, 87)(29, 90)(30, 91)(31, 75)(32, 92)(33, 74)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 95)(40, 97)(41, 96)(42, 98)(43, 83)(44, 84)(45, 85)(46, 88)(47, 100)(48, 99)(49, 93)(50, 94)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E24.947
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, Y2^-2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y1^10 * Y2^2 * Y3^-11, Y3^-2 * Y1^23, Y3^-2 * Y2^48, Y3 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 93, 47, 97, 49, 99, 45, 95, 41, 91, 37, 87, 33, 83, 29, 79, 25, 75, 21, 71, 17, 67, 13, 63, 9, 59, 4, 54)(3, 53, 7, 57, 12, 62, 16, 66, 20, 70, 24, 74, 28, 78, 32, 82, 36, 86, 40, 90, 44, 94, 48, 98, 50, 100, 46, 96, 42, 92, 38, 88, 34, 84, 30, 80, 26, 76, 22, 72, 18, 68, 14, 64, 10, 60, 5, 55, 8, 58)(101, 151, 103, 153, 106, 156, 112, 162, 115, 165, 120, 170, 123, 173, 128, 178, 131, 181, 136, 186, 139, 189, 144, 194, 147, 197, 150, 200, 145, 195, 142, 192, 137, 187, 134, 184, 129, 179, 126, 176, 121, 171, 118, 168, 113, 163, 110, 160, 104, 154, 108, 158, 102, 152, 107, 157, 111, 161, 116, 166, 119, 169, 124, 174, 127, 177, 132, 182, 135, 185, 140, 190, 143, 193, 148, 198, 149, 199, 146, 196, 141, 191, 138, 188, 133, 183, 130, 180, 125, 175, 122, 172, 117, 167, 114, 164, 109, 159, 105, 155)
	L = (1, 104)(2, 101)(3, 108)(4, 109)(5, 110)(6, 102)(7, 103)(8, 105)(9, 113)(10, 114)(11, 106)(12, 107)(13, 117)(14, 118)(15, 111)(16, 112)(17, 121)(18, 122)(19, 115)(20, 116)(21, 125)(22, 126)(23, 119)(24, 120)(25, 129)(26, 130)(27, 123)(28, 124)(29, 133)(30, 134)(31, 127)(32, 128)(33, 137)(34, 138)(35, 131)(36, 132)(37, 141)(38, 142)(39, 135)(40, 136)(41, 145)(42, 146)(43, 139)(44, 140)(45, 149)(46, 150)(47, 143)(48, 144)(49, 147)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1015
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^25, Y1^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 10, 60, 14, 64, 18, 68, 22, 72, 26, 76, 30, 80, 34, 84, 38, 88, 42, 92, 46, 96, 49, 99, 45, 95, 41, 91, 37, 87, 33, 83, 29, 79, 25, 75, 21, 71, 17, 67, 13, 63, 9, 59, 4, 54)(3, 53, 5, 55, 7, 57, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 93, 47, 97, 50, 100, 48, 98, 44, 94, 40, 90, 36, 86, 32, 82, 28, 78, 24, 74, 20, 70, 16, 66, 12, 62, 8, 58)(101, 151, 103, 153, 104, 154, 108, 158, 109, 159, 112, 162, 113, 163, 116, 166, 117, 167, 120, 170, 121, 171, 124, 174, 125, 175, 128, 178, 129, 179, 132, 182, 133, 183, 136, 186, 137, 187, 140, 190, 141, 191, 144, 194, 145, 195, 148, 198, 149, 199, 150, 200, 146, 196, 147, 197, 142, 192, 143, 193, 138, 188, 139, 189, 134, 184, 135, 185, 130, 180, 131, 181, 126, 176, 127, 177, 122, 172, 123, 173, 118, 168, 119, 169, 114, 164, 115, 165, 110, 160, 111, 161, 106, 156, 107, 157, 102, 152, 105, 155)
	L = (1, 104)(2, 101)(3, 108)(4, 109)(5, 103)(6, 102)(7, 105)(8, 112)(9, 113)(10, 106)(11, 107)(12, 116)(13, 117)(14, 110)(15, 111)(16, 120)(17, 121)(18, 114)(19, 115)(20, 124)(21, 125)(22, 118)(23, 119)(24, 128)(25, 129)(26, 122)(27, 123)(28, 132)(29, 133)(30, 126)(31, 127)(32, 136)(33, 137)(34, 130)(35, 131)(36, 140)(37, 141)(38, 134)(39, 135)(40, 144)(41, 145)(42, 138)(43, 139)(44, 148)(45, 149)(46, 142)(47, 143)(48, 150)(49, 146)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1010
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3^25, Y1^25, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 10, 60, 14, 64, 18, 68, 22, 72, 26, 76, 30, 80, 34, 84, 38, 88, 42, 92, 46, 96, 48, 98, 44, 94, 40, 90, 36, 86, 32, 82, 28, 78, 24, 74, 20, 70, 16, 66, 12, 62, 8, 58, 4, 54)(3, 53, 7, 57, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 93, 47, 97, 50, 100, 49, 99, 45, 95, 41, 91, 37, 87, 33, 83, 29, 79, 25, 75, 21, 71, 17, 67, 13, 63, 9, 59, 5, 55)(101, 151, 103, 153, 102, 152, 107, 157, 106, 156, 111, 161, 110, 160, 115, 165, 114, 164, 119, 169, 118, 168, 123, 173, 122, 172, 127, 177, 126, 176, 131, 181, 130, 180, 135, 185, 134, 184, 139, 189, 138, 188, 143, 193, 142, 192, 147, 197, 146, 196, 150, 200, 148, 198, 149, 199, 144, 194, 145, 195, 140, 190, 141, 191, 136, 186, 137, 187, 132, 182, 133, 183, 128, 178, 129, 179, 124, 174, 125, 175, 120, 170, 121, 171, 116, 166, 117, 167, 112, 162, 113, 163, 108, 158, 109, 159, 104, 154, 105, 155)
	L = (1, 104)(2, 101)(3, 105)(4, 108)(5, 109)(6, 102)(7, 103)(8, 112)(9, 113)(10, 106)(11, 107)(12, 116)(13, 117)(14, 110)(15, 111)(16, 120)(17, 121)(18, 114)(19, 115)(20, 124)(21, 125)(22, 118)(23, 119)(24, 128)(25, 129)(26, 122)(27, 123)(28, 132)(29, 133)(30, 126)(31, 127)(32, 136)(33, 137)(34, 130)(35, 131)(36, 140)(37, 141)(38, 134)(39, 135)(40, 144)(41, 145)(42, 138)(43, 139)(44, 148)(45, 149)(46, 142)(47, 143)(48, 146)(49, 150)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1008
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, Y1 * Y3, (R * Y2)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-3 * Y3 * Y1^-1 * Y2^-3, Y3^2 * Y2^-2 * Y1 * Y3^-1 * Y2^2, Y1^-9 * Y2^-2, Y1^2 * Y2^-1 * Y1^3 * Y3^-2 * Y2^-3, Y1 * Y2^2 * Y1 * Y3^-1 * Y1 * Y3^-5, Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y3^-4 * Y2^-1, Y1^25, Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 39, 89, 45, 95, 33, 83, 24, 74, 13, 63, 18, 68, 30, 80, 43, 93, 47, 97, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 42, 92, 49, 99, 37, 87, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 40, 90, 50, 100, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 41, 91, 46, 96, 34, 84, 19, 69, 31, 81, 25, 75, 32, 82, 44, 94, 48, 98, 36, 86, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 123, 173, 111, 161, 121, 171, 135, 185, 146, 196, 139, 189, 150, 200, 137, 187, 148, 198, 143, 193, 128, 178, 114, 164, 127, 177, 142, 192, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 145, 195, 138, 188, 122, 172, 136, 186, 147, 197, 141, 191, 126, 176, 140, 190, 149, 199, 144, 194, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 134)(20, 135)(21, 136)(22, 137)(23, 138)(24, 133)(25, 131)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 126)(40, 127)(41, 128)(42, 129)(43, 130)(44, 132)(45, 139)(46, 141)(47, 143)(48, 144)(49, 142)(50, 140)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1007
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y1^2 * Y2^-2 * Y3^2 * Y2^2, Y2^3 * Y3 * Y2^3 * Y1^-1, Y1^3 * Y2^-1 * Y1^2 * Y3^-4 * Y2^-1, Y1^6 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^2 * Y2^-2 * Y3^-7, Y3^2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y2^3 * Y1^-2 * Y2^2 * Y1^-2 * Y3^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 51, 2, 52, 6, 56, 14, 64, 26, 76, 39, 89, 45, 95, 33, 83, 20, 70, 9, 59, 17, 67, 29, 79, 42, 92, 49, 99, 37, 87, 24, 74, 13, 63, 18, 68, 30, 80, 43, 93, 47, 97, 35, 85, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 40, 90, 50, 100, 38, 88, 25, 75, 32, 82, 19, 69, 31, 81, 44, 94, 48, 98, 36, 86, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 41, 91, 46, 96, 34, 84, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 144, 194, 147, 197, 141, 191, 126, 176, 140, 190, 149, 199, 136, 186, 122, 172, 134, 184, 145, 195, 138, 188, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 143, 193, 128, 178, 114, 164, 127, 177, 142, 192, 148, 198, 135, 185, 146, 196, 139, 189, 150, 200, 137, 187, 123, 173, 111, 161, 121, 171, 133, 183, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 132)(20, 133)(21, 134)(22, 135)(23, 136)(24, 137)(25, 138)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 126)(40, 127)(41, 128)(42, 129)(43, 130)(44, 131)(45, 139)(46, 141)(47, 143)(48, 144)(49, 142)(50, 140)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1005
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^3 * Y1 * Y2, Y3^4 * Y2 * Y3^-4 * Y2^-1, Y2 * Y1^-1 * Y2 * Y3^4 * Y1^-7, Y1^5 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-6, Y2 * Y1^-1 * Y2 * Y1^14, Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 22, 72, 30, 80, 38, 88, 46, 96, 42, 92, 34, 84, 26, 76, 18, 68, 9, 59, 13, 63, 17, 67, 25, 75, 33, 83, 41, 91, 49, 99, 44, 94, 36, 86, 28, 78, 20, 70, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 23, 73, 31, 81, 39, 89, 47, 97, 50, 100, 45, 95, 37, 87, 29, 79, 21, 71, 12, 62, 5, 55, 8, 58, 16, 66, 24, 74, 32, 82, 40, 90, 48, 98, 43, 93, 35, 85, 27, 77, 19, 69, 10, 60)(101, 151, 103, 153, 109, 159, 112, 162, 104, 154, 110, 160, 118, 168, 121, 171, 111, 161, 119, 169, 126, 176, 129, 179, 120, 170, 127, 177, 134, 184, 137, 187, 128, 178, 135, 185, 142, 192, 145, 195, 136, 186, 143, 193, 146, 196, 150, 200, 144, 194, 148, 198, 138, 188, 147, 197, 149, 199, 140, 190, 130, 180, 139, 189, 141, 191, 132, 182, 122, 172, 131, 181, 133, 183, 124, 174, 114, 164, 123, 173, 125, 175, 116, 166, 106, 156, 115, 165, 117, 167, 108, 158, 102, 152, 107, 157, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 118)(10, 119)(11, 120)(12, 121)(13, 109)(14, 106)(15, 107)(16, 108)(17, 113)(18, 126)(19, 127)(20, 128)(21, 129)(22, 114)(23, 115)(24, 116)(25, 117)(26, 134)(27, 135)(28, 136)(29, 137)(30, 122)(31, 123)(32, 124)(33, 125)(34, 142)(35, 143)(36, 144)(37, 145)(38, 130)(39, 131)(40, 132)(41, 133)(42, 146)(43, 148)(44, 149)(45, 150)(46, 138)(47, 139)(48, 140)(49, 141)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1006
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y1 * Y2, (R * Y2)^2, Y2^2 * Y1^-1 * Y2^4, Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-5, Y2 * Y1 * Y2 * Y3^-7, Y1^4 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-4 * Y2^-2, Y2^-1 * Y1^-2 * Y2^-1 * Y1^19, (Y2^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 38, 88, 36, 86, 24, 74, 13, 63, 18, 68, 30, 80, 42, 92, 48, 98, 50, 100, 44, 94, 32, 82, 20, 70, 9, 59, 17, 67, 29, 79, 41, 91, 34, 84, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 35, 85, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 40, 90, 47, 97, 46, 96, 37, 87, 25, 75, 19, 69, 31, 81, 43, 93, 49, 99, 45, 95, 33, 83, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 143, 193, 142, 192, 128, 178, 114, 164, 127, 177, 141, 191, 149, 199, 148, 198, 140, 190, 126, 176, 139, 189, 134, 184, 145, 195, 150, 200, 147, 197, 138, 188, 135, 185, 122, 172, 133, 183, 144, 194, 146, 196, 136, 186, 123, 173, 111, 161, 121, 171, 132, 182, 137, 187, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 125)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 144)(33, 145)(34, 141)(35, 139)(36, 138)(37, 146)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 150)(45, 149)(46, 147)(47, 140)(48, 142)(49, 143)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1003
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y3^-2 * Y2^-4 * Y3^-1, Y1^3 * Y2 * Y3^-2 * Y2 * Y3^-6, Y1^25, (Y2^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 34, 84, 42, 92, 48, 98, 40, 90, 32, 82, 24, 74, 13, 63, 18, 68, 20, 70, 9, 59, 17, 67, 28, 78, 36, 86, 44, 94, 46, 96, 38, 88, 30, 80, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 35, 85, 43, 93, 47, 97, 39, 89, 31, 81, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 19, 69, 29, 79, 37, 87, 45, 95, 50, 100, 49, 99, 41, 91, 33, 83, 25, 75, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 114, 164, 127, 177, 136, 186, 145, 195, 142, 192, 147, 197, 138, 188, 141, 191, 132, 182, 123, 173, 111, 161, 121, 171, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 129, 179, 126, 176, 135, 185, 144, 194, 150, 200, 148, 198, 139, 189, 130, 180, 133, 183, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 116, 166, 106, 156, 115, 165, 128, 178, 137, 187, 134, 184, 143, 193, 146, 196, 149, 199, 140, 190, 131, 181, 122, 172, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 116)(20, 118)(21, 125)(22, 130)(23, 131)(24, 132)(25, 133)(26, 114)(27, 115)(28, 117)(29, 119)(30, 138)(31, 139)(32, 140)(33, 141)(34, 126)(35, 127)(36, 128)(37, 129)(38, 146)(39, 147)(40, 148)(41, 149)(42, 134)(43, 135)(44, 136)(45, 137)(46, 144)(47, 143)(48, 142)(49, 150)(50, 145)(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) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1011
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2), (Y3^-1, Y2^-1), (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y3^-1, Y2^2 * Y1^2 * Y2 * Y3^-1 * Y2, Y3^2 * Y2 * Y3 * Y2 * Y3^8, Y1^7 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^3 * Y2^-1 * Y1^3 * Y3^-5 * Y2^-1, Y1^3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-6, Y2^-2 * Y3^-4 * Y2^-2 * Y3^-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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 51, 2, 52, 6, 56, 14, 64, 26, 76, 34, 84, 42, 92, 47, 97, 39, 89, 31, 81, 20, 70, 9, 59, 17, 67, 24, 74, 13, 63, 18, 68, 28, 78, 36, 86, 44, 94, 49, 99, 41, 91, 33, 83, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 25, 75, 29, 79, 37, 87, 45, 95, 50, 100, 46, 96, 38, 88, 30, 80, 19, 69, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 27, 77, 35, 85, 43, 93, 48, 98, 40, 90, 32, 82, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 122, 172, 132, 182, 139, 189, 146, 196, 149, 199, 143, 193, 134, 184, 137, 187, 128, 178, 116, 166, 106, 156, 115, 165, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 130, 180, 133, 183, 140, 190, 147, 197, 150, 200, 144, 194, 135, 185, 126, 176, 129, 179, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 123, 173, 111, 161, 121, 171, 131, 181, 138, 188, 141, 191, 148, 198, 142, 192, 145, 195, 136, 186, 127, 177, 114, 164, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 130)(20, 131)(21, 132)(22, 133)(23, 119)(24, 117)(25, 115)(26, 114)(27, 116)(28, 118)(29, 125)(30, 138)(31, 139)(32, 140)(33, 141)(34, 126)(35, 127)(36, 128)(37, 129)(38, 146)(39, 147)(40, 148)(41, 149)(42, 134)(43, 135)(44, 136)(45, 137)(46, 150)(47, 142)(48, 143)(49, 144)(50, 145)(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) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1013
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1, Y2^3 * Y1^-1 * Y2^-3 * Y3^-1, Y3^2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-2, Y1^-2 * Y2^2 * Y1^-4, Y2^5 * Y3^-1 * Y2^3, Y1^-2 * Y2^-3 * Y3 * Y2 * Y1^3 * Y2^2, (Y2^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 20, 70, 9, 59, 17, 67, 29, 79, 40, 90, 47, 97, 44, 94, 33, 83, 38, 88, 43, 93, 49, 99, 45, 95, 36, 86, 24, 74, 13, 63, 18, 68, 30, 80, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 34, 84, 19, 69, 31, 81, 41, 91, 48, 98, 50, 100, 46, 96, 37, 87, 25, 75, 32, 82, 42, 92, 35, 85, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 137, 187, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 144, 194, 146, 196, 136, 186, 123, 173, 111, 161, 121, 171, 126, 176, 139, 189, 147, 197, 150, 200, 145, 195, 135, 185, 122, 172, 128, 178, 114, 164, 127, 177, 140, 190, 148, 198, 149, 199, 142, 192, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 141, 191, 143, 193, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 138, 188, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 134)(20, 126)(21, 128)(22, 130)(23, 135)(24, 136)(25, 137)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 144)(34, 139)(35, 142)(36, 145)(37, 146)(38, 133)(39, 127)(40, 129)(41, 131)(42, 132)(43, 138)(44, 147)(45, 149)(46, 150)(47, 140)(48, 141)(49, 143)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1014
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-1 * Y3 * Y2 * Y1, (Y2, Y1), Y3^2 * Y1^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2 * Y1 * Y2 * Y1^5, Y3^3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-7, Y1^3 * Y2^-1 * Y1 * Y2^-2 * Y3^-3 * Y2^-3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 24, 74, 13, 63, 18, 68, 30, 80, 40, 90, 47, 97, 46, 96, 38, 88, 33, 83, 43, 93, 49, 99, 45, 95, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 39, 89, 37, 87, 25, 75, 32, 82, 42, 92, 48, 98, 50, 100, 44, 94, 34, 84, 19, 69, 31, 81, 41, 91, 36, 86, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 143, 193, 142, 192, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 141, 191, 149, 199, 148, 198, 140, 190, 128, 178, 114, 164, 127, 177, 122, 172, 136, 186, 145, 195, 150, 200, 147, 197, 139, 189, 126, 176, 123, 173, 111, 161, 121, 171, 135, 185, 144, 194, 146, 196, 137, 187, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 138, 188, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 134)(20, 135)(21, 136)(22, 129)(23, 127)(24, 126)(25, 137)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 138)(34, 144)(35, 145)(36, 141)(37, 139)(38, 146)(39, 128)(40, 130)(41, 131)(42, 132)(43, 133)(44, 150)(45, 149)(46, 147)(47, 140)(48, 142)(49, 143)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1016
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2 * Y1 * Y2 * Y1^2, Y2^-1 * Y1 * Y2^-15, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 13, 63, 15, 65, 20, 70, 25, 75, 27, 77, 32, 82, 37, 87, 39, 89, 44, 94, 49, 99, 46, 96, 48, 98, 41, 91, 34, 84, 36, 86, 29, 79, 22, 72, 24, 74, 17, 67, 9, 59, 11, 61, 4, 54)(3, 53, 7, 57, 12, 62, 5, 55, 8, 58, 14, 64, 19, 69, 21, 71, 26, 76, 31, 81, 33, 83, 38, 88, 43, 93, 45, 95, 50, 100, 47, 97, 40, 90, 42, 92, 35, 85, 28, 78, 30, 80, 23, 73, 16, 66, 18, 68, 10, 60)(101, 151, 103, 153, 109, 159, 116, 166, 122, 172, 128, 178, 134, 184, 140, 190, 146, 196, 145, 195, 139, 189, 133, 183, 127, 177, 121, 171, 115, 165, 108, 158, 102, 152, 107, 157, 111, 161, 118, 168, 124, 174, 130, 180, 136, 186, 142, 192, 148, 198, 150, 200, 144, 194, 138, 188, 132, 182, 126, 176, 120, 170, 114, 164, 106, 156, 112, 162, 104, 154, 110, 160, 117, 167, 123, 173, 129, 179, 135, 185, 141, 191, 147, 197, 149, 199, 143, 193, 137, 187, 131, 181, 125, 175, 119, 169, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 117)(10, 118)(11, 109)(12, 107)(13, 106)(14, 108)(15, 113)(16, 123)(17, 124)(18, 116)(19, 114)(20, 115)(21, 119)(22, 129)(23, 130)(24, 122)(25, 120)(26, 121)(27, 125)(28, 135)(29, 136)(30, 128)(31, 126)(32, 127)(33, 131)(34, 141)(35, 142)(36, 134)(37, 132)(38, 133)(39, 137)(40, 147)(41, 148)(42, 140)(43, 138)(44, 139)(45, 143)(46, 149)(47, 150)(48, 146)(49, 144)(50, 145)(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) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1009
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y1^3 * Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1, Y1^3 * Y2^-2 * Y3^-4, Y1^5 * Y2^-1 * Y1^2 * Y2^-1, Y1^2 * Y2^3 * Y1^-2 * Y2^-3, Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-3 * Y1^-2, Y2^-5 * Y3^4 * Y2^-1, Y2^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2^2 * Y3^2 * Y2^2 * Y3^2 * Y2^2 * Y3^2 * Y2^2 * Y3^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 43, 93, 41, 91, 47, 97, 49, 99, 33, 83, 46, 96, 39, 89, 24, 74, 13, 63, 18, 68, 30, 80, 37, 87, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 42, 92, 50, 100, 34, 84, 19, 69, 31, 81, 44, 94, 40, 90, 25, 75, 32, 82, 45, 95, 48, 98, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 36, 86, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 148, 198, 137, 187, 128, 178, 114, 164, 127, 177, 143, 193, 140, 190, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 149, 199, 145, 195, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 144, 194, 139, 189, 123, 173, 111, 161, 121, 171, 135, 185, 150, 200, 147, 197, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 146, 196, 138, 188, 122, 172, 136, 186, 126, 176, 142, 192, 141, 191, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 134)(20, 135)(21, 136)(22, 137)(23, 138)(24, 139)(25, 140)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 149)(34, 150)(35, 126)(36, 128)(37, 130)(38, 148)(39, 146)(40, 144)(41, 143)(42, 127)(43, 129)(44, 131)(45, 132)(46, 133)(47, 141)(48, 145)(49, 147)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1012
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2 * Y1^-2, Y3^3 * Y2^2 * Y1^-1, Y2 * Y3^-1 * Y2^11, Y2 * Y1^21 * Y2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 9, 59, 17, 67, 24, 74, 31, 81, 27, 77, 33, 83, 40, 90, 47, 97, 43, 93, 46, 96, 49, 99, 44, 94, 37, 87, 30, 80, 34, 84, 28, 78, 21, 71, 13, 63, 18, 68, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 23, 73, 19, 69, 25, 75, 32, 82, 39, 89, 35, 85, 41, 91, 48, 98, 50, 100, 45, 95, 38, 88, 42, 92, 36, 86, 29, 79, 22, 72, 26, 76, 20, 70, 12, 62, 5, 55, 8, 58, 16, 66, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 127, 177, 135, 185, 143, 193, 145, 195, 137, 187, 129, 179, 121, 171, 112, 162, 104, 154, 110, 160, 114, 164, 123, 173, 131, 181, 139, 189, 147, 197, 150, 200, 144, 194, 136, 186, 128, 178, 120, 170, 111, 161, 116, 166, 106, 156, 115, 165, 124, 174, 132, 182, 140, 190, 148, 198, 149, 199, 142, 192, 134, 184, 126, 176, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 125, 175, 133, 183, 141, 191, 146, 196, 138, 188, 130, 180, 122, 172, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 114)(10, 116)(11, 118)(12, 120)(13, 121)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 123)(20, 126)(21, 128)(22, 129)(23, 115)(24, 117)(25, 119)(26, 122)(27, 131)(28, 134)(29, 136)(30, 137)(31, 124)(32, 125)(33, 127)(34, 130)(35, 139)(36, 142)(37, 144)(38, 145)(39, 132)(40, 133)(41, 135)(42, 138)(43, 147)(44, 149)(45, 150)(46, 143)(47, 140)(48, 141)(49, 146)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1004
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-3, Y2^-1 * Y1 * Y2^-11, Y1^2 * Y2^-1 * Y1 * Y2^-4 * Y3^-2 * Y2^-5, Y2^-2 * Y1^21, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-2 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 13, 63, 18, 68, 24, 74, 31, 81, 30, 80, 34, 84, 40, 90, 47, 97, 46, 96, 43, 93, 49, 99, 45, 95, 36, 86, 27, 77, 33, 83, 29, 79, 20, 70, 9, 59, 17, 67, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 12, 62, 5, 55, 8, 58, 16, 66, 23, 73, 22, 72, 26, 76, 32, 82, 39, 89, 38, 88, 42, 92, 48, 98, 50, 100, 44, 94, 35, 85, 41, 91, 37, 87, 28, 78, 19, 69, 25, 75, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 127, 177, 135, 185, 143, 193, 142, 192, 134, 184, 126, 176, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 125, 175, 133, 183, 141, 191, 149, 199, 148, 198, 140, 190, 132, 182, 124, 174, 116, 166, 106, 156, 115, 165, 111, 161, 121, 171, 129, 179, 137, 187, 145, 195, 150, 200, 147, 197, 139, 189, 131, 181, 123, 173, 114, 164, 112, 162, 104, 154, 110, 160, 120, 170, 128, 178, 136, 186, 144, 194, 146, 196, 138, 188, 130, 180, 122, 172, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 117)(12, 115)(13, 114)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 128)(20, 129)(21, 125)(22, 123)(23, 116)(24, 118)(25, 119)(26, 122)(27, 136)(28, 137)(29, 133)(30, 131)(31, 124)(32, 126)(33, 127)(34, 130)(35, 144)(36, 145)(37, 141)(38, 139)(39, 132)(40, 134)(41, 135)(42, 138)(43, 146)(44, 150)(45, 149)(46, 147)(47, 140)(48, 142)(49, 143)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1002
Graph:: bipartite
	v = 3 e = 100 f = 51
	degree seq :: [ 50^2, 100 ]

E24.988 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^16, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 12, 62, 18, 68, 24, 74, 30, 80, 36, 86, 42, 92, 48, 98, 45, 95, 39, 89, 33, 83, 27, 77, 21, 71, 15, 65, 9, 59, 3, 53, 7, 57, 13, 63, 19, 69, 25, 75, 31, 81, 37, 87, 43, 93, 49, 99, 47, 97, 41, 91, 35, 85, 29, 79, 23, 73, 17, 67, 11, 61, 5, 55, 8, 58, 14, 64, 20, 70, 26, 76, 32, 82, 38, 88, 44, 94, 50, 100, 46, 96, 40, 90, 34, 84, 28, 78, 22, 72, 16, 66, 10, 60, 4, 54)(101, 151, 103, 153, 108, 158, 102, 152, 107, 157, 114, 164, 106, 156, 113, 163, 120, 170, 112, 162, 119, 169, 126, 176, 118, 168, 125, 175, 132, 182, 124, 174, 131, 181, 138, 188, 130, 180, 137, 187, 144, 194, 136, 186, 143, 193, 150, 200, 142, 192, 149, 199, 146, 196, 148, 198, 147, 197, 140, 190, 145, 195, 141, 191, 134, 184, 139, 189, 135, 185, 128, 178, 133, 183, 129, 179, 122, 172, 127, 177, 123, 173, 116, 166, 121, 171, 117, 167, 110, 160, 115, 165, 111, 161, 104, 154, 109, 159, 105, 155)
	L = (1, 103)(2, 107)(3, 108)(4, 109)(5, 101)(6, 113)(7, 114)(8, 102)(9, 105)(10, 115)(11, 104)(12, 119)(13, 120)(14, 106)(15, 111)(16, 121)(17, 110)(18, 125)(19, 126)(20, 112)(21, 117)(22, 127)(23, 116)(24, 131)(25, 132)(26, 118)(27, 123)(28, 133)(29, 122)(30, 137)(31, 138)(32, 124)(33, 129)(34, 139)(35, 128)(36, 143)(37, 144)(38, 130)(39, 135)(40, 145)(41, 134)(42, 149)(43, 150)(44, 136)(45, 141)(46, 148)(47, 140)(48, 147)(49, 146)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.998
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|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^-17, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 12, 62, 18, 68, 24, 74, 30, 80, 36, 86, 42, 92, 48, 98, 45, 95, 39, 89, 33, 83, 27, 77, 21, 71, 15, 65, 9, 59, 5, 55, 8, 58, 14, 64, 20, 70, 26, 76, 32, 82, 38, 88, 44, 94, 50, 100, 46, 96, 40, 90, 34, 84, 28, 78, 22, 72, 16, 66, 10, 60, 3, 53, 7, 57, 13, 63, 19, 69, 25, 75, 31, 81, 37, 87, 43, 93, 49, 99, 47, 97, 41, 91, 35, 85, 29, 79, 23, 73, 17, 67, 11, 61, 4, 54)(101, 151, 103, 153, 109, 159, 104, 154, 110, 160, 115, 165, 111, 161, 116, 166, 121, 171, 117, 167, 122, 172, 127, 177, 123, 173, 128, 178, 133, 183, 129, 179, 134, 184, 139, 189, 135, 185, 140, 190, 145, 195, 141, 191, 146, 196, 148, 198, 147, 197, 150, 200, 142, 192, 149, 199, 144, 194, 136, 186, 143, 193, 138, 188, 130, 180, 137, 187, 132, 182, 124, 174, 131, 181, 126, 176, 118, 168, 125, 175, 120, 170, 112, 162, 119, 169, 114, 164, 106, 156, 113, 163, 108, 158, 102, 152, 107, 157, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 113)(7, 105)(8, 102)(9, 104)(10, 115)(11, 116)(12, 119)(13, 108)(14, 106)(15, 111)(16, 121)(17, 122)(18, 125)(19, 114)(20, 112)(21, 117)(22, 127)(23, 128)(24, 131)(25, 120)(26, 118)(27, 123)(28, 133)(29, 134)(30, 137)(31, 126)(32, 124)(33, 129)(34, 139)(35, 140)(36, 143)(37, 132)(38, 130)(39, 135)(40, 145)(41, 146)(42, 149)(43, 138)(44, 136)(45, 141)(46, 148)(47, 150)(48, 147)(49, 144)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1001
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2 * Y1^3 * Y2^-1 * Y1^-3, Y1^-1 * Y2^3 * Y1 * Y2^-3, Y2^-1 * Y1^-7, Y2^5 * Y1^-1 * Y2^2, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 38, 88, 36, 86, 24, 74, 13, 63, 18, 68, 30, 80, 40, 90, 46, 96, 45, 95, 37, 87, 25, 75, 32, 82, 42, 92, 48, 98, 50, 100, 49, 99, 43, 93, 33, 83, 19, 69, 31, 81, 41, 91, 47, 97, 44, 94, 34, 84, 20, 70, 9, 59, 17, 67, 29, 79, 39, 89, 35, 85, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 22, 72, 11, 61, 4, 54)(101, 151, 103, 153, 109, 159, 119, 169, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 142, 192, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 141, 191, 148, 198, 140, 190, 128, 178, 114, 164, 127, 177, 139, 189, 147, 197, 150, 200, 146, 196, 138, 188, 126, 176, 122, 172, 135, 185, 144, 194, 149, 199, 145, 195, 136, 186, 123, 173, 111, 161, 121, 171, 134, 184, 143, 193, 137, 187, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 133, 183, 125, 175, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 132)(20, 133)(21, 134)(22, 135)(23, 111)(24, 112)(25, 113)(26, 122)(27, 139)(28, 114)(29, 141)(30, 116)(31, 142)(32, 118)(33, 125)(34, 143)(35, 144)(36, 123)(37, 124)(38, 126)(39, 147)(40, 128)(41, 148)(42, 130)(43, 137)(44, 149)(45, 136)(46, 138)(47, 150)(48, 140)(49, 145)(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) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.997
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y2^-9 * Y1^-1, Y2^-4 * Y1^-6, Y2^5 * Y1^-5, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 42, 92, 41, 91, 50, 100, 36, 86, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 43, 93, 40, 90, 25, 75, 32, 82, 48, 98, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 45, 95, 39, 89, 24, 74, 13, 63, 18, 68, 30, 80, 46, 96, 34, 84, 19, 69, 31, 81, 47, 97, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 44, 94, 33, 83, 49, 99, 37, 87, 22, 72, 11, 61, 4, 54)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 142, 192, 140, 190, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 144, 194, 126, 176, 143, 193, 139, 189, 123, 173, 111, 161, 121, 171, 135, 185, 146, 196, 128, 178, 114, 164, 127, 177, 145, 195, 138, 188, 122, 172, 136, 186, 148, 198, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 147, 197, 137, 187, 150, 200, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 149, 199, 141, 191, 125, 175, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 143)(27, 145)(28, 114)(29, 147)(30, 116)(31, 149)(32, 118)(33, 142)(34, 144)(35, 146)(36, 148)(37, 150)(38, 122)(39, 123)(40, 124)(41, 125)(42, 140)(43, 139)(44, 126)(45, 138)(46, 128)(47, 137)(48, 130)(49, 141)(50, 132)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.996
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y1^-3, Y2^-1 * Y1^-1 * Y2^-9 * Y1^-2 * Y2^-1, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 9, 59, 17, 67, 24, 74, 31, 81, 27, 77, 33, 83, 40, 90, 47, 97, 43, 93, 49, 99, 45, 95, 38, 88, 42, 92, 36, 86, 29, 79, 22, 72, 26, 76, 20, 70, 12, 62, 5, 55, 8, 58, 16, 66, 10, 60, 3, 53, 7, 57, 15, 65, 23, 73, 19, 69, 25, 75, 32, 82, 39, 89, 35, 85, 41, 91, 48, 98, 46, 96, 50, 100, 44, 94, 37, 87, 30, 80, 34, 84, 28, 78, 21, 71, 13, 63, 18, 68, 11, 61, 4, 54)(101, 151, 103, 153, 109, 159, 119, 169, 127, 177, 135, 185, 143, 193, 150, 200, 142, 192, 134, 184, 126, 176, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 125, 175, 133, 183, 141, 191, 149, 199, 144, 194, 136, 186, 128, 178, 120, 170, 111, 161, 116, 166, 106, 156, 115, 165, 124, 174, 132, 182, 140, 190, 148, 198, 145, 195, 137, 187, 129, 179, 121, 171, 112, 162, 104, 154, 110, 160, 114, 164, 123, 173, 131, 181, 139, 189, 147, 197, 146, 196, 138, 188, 130, 180, 122, 172, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 114)(11, 116)(12, 104)(13, 105)(14, 123)(15, 124)(16, 106)(17, 125)(18, 108)(19, 127)(20, 111)(21, 112)(22, 113)(23, 131)(24, 132)(25, 133)(26, 118)(27, 135)(28, 120)(29, 121)(30, 122)(31, 139)(32, 140)(33, 141)(34, 126)(35, 143)(36, 128)(37, 129)(38, 130)(39, 147)(40, 148)(41, 149)(42, 134)(43, 150)(44, 136)(45, 137)(46, 138)(47, 146)(48, 145)(49, 144)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1000
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^3 * Y1^2 * Y2^-4 * Y1^-2 * Y2, Y2^-11 * Y1^3, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 13, 63, 18, 68, 24, 74, 31, 81, 30, 80, 34, 84, 40, 90, 47, 97, 46, 96, 50, 100, 44, 94, 35, 85, 41, 91, 37, 87, 28, 78, 19, 69, 25, 75, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 12, 62, 5, 55, 8, 58, 16, 66, 23, 73, 22, 72, 26, 76, 32, 82, 39, 89, 38, 88, 42, 92, 48, 98, 43, 93, 49, 99, 45, 95, 36, 86, 27, 77, 33, 83, 29, 79, 20, 70, 9, 59, 17, 67, 11, 61, 4, 54)(101, 151, 103, 153, 109, 159, 119, 169, 127, 177, 135, 185, 143, 193, 147, 197, 139, 189, 131, 181, 123, 173, 114, 164, 112, 162, 104, 154, 110, 160, 120, 170, 128, 178, 136, 186, 144, 194, 148, 198, 140, 190, 132, 182, 124, 174, 116, 166, 106, 156, 115, 165, 111, 161, 121, 171, 129, 179, 137, 187, 145, 195, 150, 200, 142, 192, 134, 184, 126, 176, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 125, 175, 133, 183, 141, 191, 149, 199, 146, 196, 138, 188, 130, 180, 122, 172, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 112)(15, 111)(16, 106)(17, 125)(18, 108)(19, 127)(20, 128)(21, 129)(22, 113)(23, 114)(24, 116)(25, 133)(26, 118)(27, 135)(28, 136)(29, 137)(30, 122)(31, 123)(32, 124)(33, 141)(34, 126)(35, 143)(36, 144)(37, 145)(38, 130)(39, 131)(40, 132)(41, 149)(42, 134)(43, 147)(44, 148)(45, 150)(46, 138)(47, 139)(48, 140)(49, 146)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.995
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2 * Y1^-2 * Y2^3 * Y1^-1 * Y2 * Y1^-2, Y2^-2 * Y1^-2 * Y2^-5 * Y1^-1, Y2^4 * Y1^-5 * Y2, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 42, 92, 39, 89, 24, 74, 13, 63, 18, 68, 30, 80, 46, 96, 34, 84, 19, 69, 31, 81, 47, 97, 41, 91, 50, 100, 36, 86, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 43, 93, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 44, 94, 33, 83, 49, 99, 40, 90, 25, 75, 32, 82, 48, 98, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 45, 95, 37, 87, 22, 72, 11, 61, 4, 54)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 142, 192, 138, 188, 122, 172, 136, 186, 148, 198, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 147, 197, 140, 190, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 144, 194, 126, 176, 143, 193, 137, 187, 150, 200, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 149, 199, 139, 189, 123, 173, 111, 161, 121, 171, 135, 185, 146, 196, 128, 178, 114, 164, 127, 177, 145, 195, 141, 191, 125, 175, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 143)(27, 145)(28, 114)(29, 147)(30, 116)(31, 149)(32, 118)(33, 142)(34, 144)(35, 146)(36, 148)(37, 150)(38, 122)(39, 123)(40, 124)(41, 125)(42, 138)(43, 137)(44, 126)(45, 141)(46, 128)(47, 140)(48, 130)(49, 139)(50, 132)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.999
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^-2, Y3^-2 * Y2^23, Y3^-2 * Y2^10 * Y3^-1 * Y2 * Y3^-11, (Y3^-1 * Y1^-1)^50, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 111, 161, 115, 165, 119, 169, 123, 173, 127, 177, 131, 181, 135, 185, 139, 189, 143, 193, 147, 197, 149, 199, 146, 196, 141, 191, 138, 188, 133, 183, 130, 180, 125, 175, 122, 172, 117, 167, 114, 164, 109, 159, 104, 154)(103, 153, 107, 157, 105, 155, 108, 158, 112, 162, 116, 166, 120, 170, 124, 174, 128, 178, 132, 182, 136, 186, 140, 190, 144, 194, 148, 198, 150, 200, 145, 195, 142, 192, 137, 187, 134, 184, 129, 179, 126, 176, 121, 171, 118, 168, 113, 163, 110, 160)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 105)(7, 104)(8, 102)(9, 113)(10, 114)(11, 108)(12, 106)(13, 117)(14, 118)(15, 112)(16, 111)(17, 121)(18, 122)(19, 116)(20, 115)(21, 125)(22, 126)(23, 120)(24, 119)(25, 129)(26, 130)(27, 124)(28, 123)(29, 133)(30, 134)(31, 128)(32, 127)(33, 137)(34, 138)(35, 132)(36, 131)(37, 141)(38, 142)(39, 136)(40, 135)(41, 145)(42, 146)(43, 140)(44, 139)(45, 149)(46, 150)(47, 144)(48, 143)(49, 148)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.993
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^-4 * Y3^2 * Y2^-2, Y3^2 * Y2 * Y3^6, 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 * Y3^2 * Y2^-2 * Y3^6, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 126, 176, 120, 170, 109, 159, 117, 167, 129, 179, 140, 190, 147, 197, 144, 194, 133, 183, 138, 188, 143, 193, 149, 199, 145, 195, 136, 186, 124, 174, 113, 163, 118, 168, 130, 180, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 127, 177, 139, 189, 134, 184, 119, 169, 131, 181, 141, 191, 148, 198, 150, 200, 146, 196, 137, 187, 125, 175, 132, 182, 142, 192, 135, 185, 123, 173, 112, 162, 105, 155, 108, 158, 116, 166, 128, 178, 121, 171, 110, 160)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 126)(22, 128)(23, 111)(24, 112)(25, 113)(26, 139)(27, 140)(28, 114)(29, 141)(30, 116)(31, 138)(32, 118)(33, 137)(34, 144)(35, 122)(36, 123)(37, 124)(38, 125)(39, 147)(40, 148)(41, 143)(42, 130)(43, 132)(44, 146)(45, 135)(46, 136)(47, 150)(48, 149)(49, 142)(50, 145)(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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.991
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (Y3, Y2), (R * Y2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-5, Y3^2 * Y2^-1 * Y3^6, Y2^2 * Y3^-1 * Y2 * Y3^-2 * Y2^3 * Y3^-3 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-3 * Y2^2, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 126, 176, 124, 174, 113, 163, 118, 168, 130, 180, 140, 190, 147, 197, 146, 196, 138, 188, 133, 183, 143, 193, 149, 199, 145, 195, 135, 185, 120, 170, 109, 159, 117, 167, 129, 179, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 127, 177, 123, 173, 112, 162, 105, 155, 108, 158, 116, 166, 128, 178, 139, 189, 137, 187, 125, 175, 132, 182, 142, 192, 148, 198, 150, 200, 144, 194, 134, 184, 119, 169, 131, 181, 141, 191, 136, 186, 121, 171, 110, 160)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 123)(27, 122)(28, 114)(29, 141)(30, 116)(31, 143)(32, 118)(33, 132)(34, 138)(35, 144)(36, 145)(37, 124)(38, 125)(39, 126)(40, 128)(41, 149)(42, 130)(43, 142)(44, 146)(45, 150)(46, 137)(47, 139)(48, 140)(49, 148)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.990
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.998 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^-3 * Y2, Y2^4 * Y3 * Y2 * Y3 * Y2^6, Y2^-11 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 126, 176, 134, 184, 142, 192, 148, 198, 140, 190, 132, 182, 124, 174, 113, 163, 118, 168, 120, 170, 109, 159, 117, 167, 128, 178, 136, 186, 144, 194, 146, 196, 138, 188, 130, 180, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 127, 177, 135, 185, 143, 193, 147, 197, 139, 189, 131, 181, 123, 173, 112, 162, 105, 155, 108, 158, 116, 166, 119, 169, 129, 179, 137, 187, 145, 195, 150, 200, 149, 199, 141, 191, 133, 183, 125, 175, 121, 171, 110, 160)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 128)(16, 106)(17, 129)(18, 108)(19, 114)(20, 116)(21, 118)(22, 125)(23, 111)(24, 112)(25, 113)(26, 135)(27, 136)(28, 137)(29, 126)(30, 133)(31, 122)(32, 123)(33, 124)(34, 143)(35, 144)(36, 145)(37, 134)(38, 141)(39, 130)(40, 131)(41, 132)(42, 147)(43, 146)(44, 150)(45, 142)(46, 149)(47, 138)(48, 139)(49, 140)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.988
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y3^2 * Y2 * Y3 * Y2^2 * Y3, Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2^7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 126, 176, 134, 184, 142, 192, 147, 197, 139, 189, 131, 181, 120, 170, 109, 159, 117, 167, 124, 174, 113, 163, 118, 168, 128, 178, 136, 186, 144, 194, 149, 199, 141, 191, 133, 183, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 125, 175, 129, 179, 137, 187, 145, 195, 150, 200, 146, 196, 138, 188, 130, 180, 119, 169, 123, 173, 112, 162, 105, 155, 108, 158, 116, 166, 127, 177, 135, 185, 143, 193, 148, 198, 140, 190, 132, 182, 121, 171, 110, 160)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 125)(15, 124)(16, 106)(17, 123)(18, 108)(19, 122)(20, 130)(21, 131)(22, 132)(23, 111)(24, 112)(25, 113)(26, 129)(27, 114)(28, 116)(29, 118)(30, 133)(31, 138)(32, 139)(33, 140)(34, 137)(35, 126)(36, 127)(37, 128)(38, 141)(39, 146)(40, 147)(41, 148)(42, 145)(43, 134)(44, 135)(45, 136)(46, 149)(47, 150)(48, 142)(49, 143)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.994
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.1000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^4 * Y3 * Y2 * Y3 * Y2^2, Y3^5 * Y2^-1 * Y3 * Y2^-3, Y3^-3 * Y2^2 * Y3^3 * Y2^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 126, 176, 139, 189, 124, 174, 113, 163, 118, 168, 130, 180, 143, 193, 133, 183, 146, 196, 150, 200, 141, 191, 147, 197, 135, 185, 120, 170, 109, 159, 117, 167, 129, 179, 137, 187, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 127, 177, 138, 188, 123, 173, 112, 162, 105, 155, 108, 158, 116, 166, 128, 178, 142, 192, 149, 199, 140, 190, 125, 175, 132, 182, 145, 195, 134, 184, 119, 169, 131, 181, 144, 194, 148, 198, 136, 186, 121, 171, 110, 160)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 138)(27, 137)(28, 114)(29, 144)(30, 116)(31, 146)(32, 118)(33, 142)(34, 143)(35, 145)(36, 147)(37, 148)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 128)(44, 150)(45, 130)(46, 149)(47, 132)(48, 141)(49, 139)(50, 140)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.992
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.1001 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-2 * Y2^3, Y2 * Y3^16, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 109, 159, 115, 165, 120, 170, 122, 172, 127, 177, 132, 182, 134, 184, 139, 189, 144, 194, 146, 196, 149, 199, 147, 197, 142, 192, 137, 187, 135, 185, 130, 180, 125, 175, 123, 173, 118, 168, 113, 163, 111, 161, 104, 154)(103, 153, 107, 157, 114, 164, 116, 166, 121, 171, 126, 176, 128, 178, 133, 183, 138, 188, 140, 190, 145, 195, 150, 200, 148, 198, 143, 193, 141, 191, 136, 186, 131, 181, 129, 179, 124, 174, 119, 169, 117, 167, 112, 162, 105, 155, 108, 158, 110, 160)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 114)(7, 115)(8, 102)(9, 116)(10, 106)(11, 108)(12, 104)(13, 105)(14, 120)(15, 121)(16, 122)(17, 111)(18, 112)(19, 113)(20, 126)(21, 127)(22, 128)(23, 117)(24, 118)(25, 119)(26, 132)(27, 133)(28, 134)(29, 123)(30, 124)(31, 125)(32, 138)(33, 139)(34, 140)(35, 129)(36, 130)(37, 131)(38, 144)(39, 145)(40, 146)(41, 135)(42, 136)(43, 137)(44, 150)(45, 149)(46, 148)(47, 141)(48, 142)(49, 143)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.989
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.1002 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1^-1)^2, (Y3, Y1^-1), Y3^-1 * Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^12 * Y1 * Y3^11 * Y1, (Y3 * Y2^-1)^25, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 93, 47, 97, 50, 100, 46, 96, 42, 92, 38, 88, 34, 84, 30, 80, 26, 76, 22, 72, 18, 68, 14, 64, 10, 60, 5, 55, 8, 58, 3, 53, 7, 57, 12, 62, 16, 66, 20, 70, 24, 74, 28, 78, 32, 82, 36, 86, 40, 90, 44, 94, 48, 98, 49, 99, 45, 95, 41, 91, 37, 87, 33, 83, 29, 79, 25, 75, 21, 71, 17, 67, 13, 63, 9, 59, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 106)(4, 108)(5, 101)(6, 112)(7, 111)(8, 102)(9, 105)(10, 104)(11, 116)(12, 115)(13, 110)(14, 109)(15, 120)(16, 119)(17, 114)(18, 113)(19, 124)(20, 123)(21, 118)(22, 117)(23, 128)(24, 127)(25, 122)(26, 121)(27, 132)(28, 131)(29, 126)(30, 125)(31, 136)(32, 135)(33, 130)(34, 129)(35, 140)(36, 139)(37, 134)(38, 133)(39, 144)(40, 143)(41, 138)(42, 137)(43, 148)(44, 147)(45, 142)(46, 141)(47, 149)(48, 150)(49, 146)(50, 145)(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) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.987
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1003 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^4 * Y1^-1 * Y3, Y1^3 * Y3 * Y1^5, (Y3 * Y2^-1)^25, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 36, 86, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 39, 89, 45, 95, 37, 87, 24, 74, 13, 63, 18, 68, 30, 80, 41, 91, 47, 97, 50, 100, 46, 96, 38, 88, 25, 75, 32, 82, 19, 69, 31, 81, 42, 92, 48, 98, 49, 99, 43, 93, 33, 83, 20, 70, 9, 59, 17, 67, 29, 79, 40, 90, 44, 94, 34, 84, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 35, 85, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 130)(20, 132)(21, 133)(22, 134)(23, 111)(24, 112)(25, 113)(26, 135)(27, 140)(28, 114)(29, 142)(30, 116)(31, 141)(32, 118)(33, 125)(34, 143)(35, 144)(36, 122)(37, 123)(38, 124)(39, 126)(40, 148)(41, 128)(42, 147)(43, 138)(44, 149)(45, 136)(46, 137)(47, 139)(48, 150)(49, 146)(50, 145)(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) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.979
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^7, (Y3 * Y2^-1)^25, (Y1^-1 * Y3^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 36, 86, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 45, 95, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 40, 90, 47, 97, 50, 100, 44, 94, 34, 84, 19, 69, 31, 81, 25, 75, 32, 82, 42, 92, 48, 98, 49, 99, 43, 93, 33, 83, 24, 74, 13, 63, 18, 68, 30, 80, 41, 91, 46, 96, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 37, 87, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 139)(27, 140)(28, 114)(29, 125)(30, 116)(31, 124)(32, 118)(33, 123)(34, 143)(35, 144)(36, 145)(37, 126)(38, 122)(39, 147)(40, 132)(41, 128)(42, 130)(43, 138)(44, 149)(45, 150)(46, 137)(47, 142)(48, 141)(49, 146)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.986
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3^-3, Y3^5 * Y1 * Y3^6 * Y1, Y3^-25, Y3^25, (Y3 * Y2^-1)^25, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 19, 69, 28, 78, 35, 85, 42, 92, 45, 95, 48, 98, 41, 91, 38, 88, 31, 81, 24, 74, 13, 63, 18, 68, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 26, 76, 29, 79, 36, 86, 43, 93, 50, 100, 47, 97, 40, 90, 33, 83, 30, 80, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 20, 70, 9, 59, 17, 67, 27, 77, 34, 84, 37, 87, 44, 94, 49, 99, 46, 96, 39, 89, 32, 82, 25, 75, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 126)(15, 127)(16, 106)(17, 128)(18, 108)(19, 129)(20, 114)(21, 116)(22, 118)(23, 111)(24, 112)(25, 113)(26, 134)(27, 135)(28, 136)(29, 137)(30, 122)(31, 123)(32, 124)(33, 125)(34, 142)(35, 143)(36, 144)(37, 145)(38, 130)(39, 131)(40, 132)(41, 133)(42, 150)(43, 149)(44, 148)(45, 147)(46, 138)(47, 139)(48, 140)(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) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.977
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-4, Y1^3 * Y3 * Y1 * Y3^2, Y3^-5 * Y1^-1 * Y3^5 * Y1, Y3^-11 * Y1^2, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 25, 75, 28, 78, 35, 85, 42, 92, 49, 99, 46, 96, 37, 87, 40, 90, 31, 81, 20, 70, 9, 59, 17, 67, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 26, 76, 33, 83, 36, 86, 43, 93, 50, 100, 47, 97, 38, 88, 29, 79, 32, 82, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 24, 74, 13, 63, 18, 68, 27, 77, 34, 84, 41, 91, 44, 94, 45, 95, 48, 98, 39, 89, 30, 80, 19, 69, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 124)(15, 123)(16, 106)(17, 122)(18, 108)(19, 129)(20, 130)(21, 131)(22, 132)(23, 111)(24, 112)(25, 113)(26, 114)(27, 116)(28, 118)(29, 137)(30, 138)(31, 139)(32, 140)(33, 125)(34, 126)(35, 127)(36, 128)(37, 145)(38, 146)(39, 147)(40, 148)(41, 133)(42, 134)(43, 135)(44, 136)(45, 143)(46, 144)(47, 149)(48, 150)(49, 141)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.978
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^4, Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-5 * Y3^-1, (Y3 * Y2^-1)^25, (Y1^-1 * Y3^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 42, 92, 41, 91, 34, 84, 19, 69, 31, 81, 47, 97, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 44, 94, 49, 99, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 45, 95, 39, 89, 24, 74, 13, 63, 18, 68, 30, 80, 46, 96, 50, 100, 36, 86, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 43, 93, 40, 90, 25, 75, 32, 82, 33, 83, 48, 98, 37, 87, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 143)(27, 145)(28, 114)(29, 147)(30, 116)(31, 148)(32, 118)(33, 130)(34, 132)(35, 141)(36, 149)(37, 150)(38, 122)(39, 123)(40, 124)(41, 125)(42, 140)(43, 139)(44, 126)(45, 138)(46, 128)(47, 137)(48, 146)(49, 142)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.976
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|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^-16 * Y3, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 20, 70, 26, 76, 32, 82, 38, 88, 44, 94, 48, 98, 42, 92, 36, 86, 30, 80, 24, 74, 18, 68, 10, 60, 3, 53, 7, 57, 13, 63, 16, 66, 22, 72, 28, 78, 34, 84, 40, 90, 46, 96, 50, 100, 47, 97, 41, 91, 35, 85, 29, 79, 23, 73, 17, 67, 9, 59, 12, 62, 5, 55, 8, 58, 15, 65, 21, 71, 27, 77, 33, 83, 39, 89, 45, 95, 49, 99, 43, 93, 37, 87, 31, 81, 25, 75, 19, 69, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 113)(7, 112)(8, 102)(9, 111)(10, 117)(11, 118)(12, 104)(13, 105)(14, 116)(15, 106)(16, 108)(17, 119)(18, 123)(19, 124)(20, 122)(21, 114)(22, 115)(23, 125)(24, 129)(25, 130)(26, 128)(27, 120)(28, 121)(29, 131)(30, 135)(31, 136)(32, 134)(33, 126)(34, 127)(35, 137)(36, 141)(37, 142)(38, 140)(39, 132)(40, 133)(41, 143)(42, 147)(43, 148)(44, 146)(45, 138)(46, 139)(47, 149)(48, 150)(49, 144)(50, 145)(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) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.975
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^25, (Y3 * Y2^-1)^25, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 3, 53, 6, 56, 7, 57, 10, 60, 11, 61, 14, 64, 15, 65, 18, 68, 19, 69, 22, 72, 23, 73, 26, 76, 27, 77, 30, 80, 31, 81, 34, 84, 35, 85, 38, 88, 39, 89, 42, 92, 43, 93, 46, 96, 47, 97, 50, 100, 49, 99, 48, 98, 45, 95, 44, 94, 41, 91, 40, 90, 37, 87, 36, 86, 33, 83, 32, 82, 29, 79, 28, 78, 25, 75, 24, 74, 21, 71, 20, 70, 17, 67, 16, 66, 13, 63, 12, 62, 9, 59, 8, 58, 5, 55, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 106)(3, 107)(4, 102)(5, 101)(6, 110)(7, 111)(8, 104)(9, 105)(10, 114)(11, 115)(12, 108)(13, 109)(14, 118)(15, 119)(16, 112)(17, 113)(18, 122)(19, 123)(20, 116)(21, 117)(22, 126)(23, 127)(24, 120)(25, 121)(26, 130)(27, 131)(28, 124)(29, 125)(30, 134)(31, 135)(32, 128)(33, 129)(34, 138)(35, 139)(36, 132)(37, 133)(38, 142)(39, 143)(40, 136)(41, 137)(42, 146)(43, 147)(44, 140)(45, 141)(46, 150)(47, 149)(48, 144)(49, 145)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.984
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^25, (Y3^12 * Y1^-1)^2, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 5, 55, 6, 56, 9, 59, 10, 60, 13, 63, 14, 64, 17, 67, 18, 68, 21, 71, 22, 72, 25, 75, 26, 76, 29, 79, 30, 80, 33, 83, 34, 84, 37, 87, 38, 88, 41, 91, 42, 92, 45, 95, 46, 96, 49, 99, 50, 100, 47, 97, 48, 98, 43, 93, 44, 94, 39, 89, 40, 90, 35, 85, 36, 86, 31, 81, 32, 82, 27, 77, 28, 78, 23, 73, 24, 74, 19, 69, 20, 70, 15, 65, 16, 66, 11, 61, 12, 62, 7, 57, 8, 58, 3, 53, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 104)(3, 107)(4, 108)(5, 101)(6, 102)(7, 111)(8, 112)(9, 105)(10, 106)(11, 115)(12, 116)(13, 109)(14, 110)(15, 119)(16, 120)(17, 113)(18, 114)(19, 123)(20, 124)(21, 117)(22, 118)(23, 127)(24, 128)(25, 121)(26, 122)(27, 131)(28, 132)(29, 125)(30, 126)(31, 135)(32, 136)(33, 129)(34, 130)(35, 139)(36, 140)(37, 133)(38, 134)(39, 143)(40, 144)(41, 137)(42, 138)(43, 147)(44, 148)(45, 141)(46, 142)(47, 149)(48, 150)(49, 145)(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) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.974
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-3, Y3^-4 * Y1 * Y3^-5 * Y1, Y3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1^2, (Y3 * Y2^-1)^25, (Y1^-1 * Y3^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 20, 70, 9, 59, 17, 67, 29, 79, 40, 90, 50, 100, 46, 96, 33, 83, 43, 93, 48, 98, 37, 87, 25, 75, 32, 82, 42, 92, 35, 85, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 34, 84, 19, 69, 31, 81, 41, 91, 49, 99, 38, 88, 44, 94, 45, 95, 47, 97, 36, 86, 24, 74, 13, 63, 18, 68, 30, 80, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 126)(22, 128)(23, 111)(24, 112)(25, 113)(26, 139)(27, 140)(28, 114)(29, 141)(30, 116)(31, 143)(32, 118)(33, 145)(34, 146)(35, 122)(36, 123)(37, 124)(38, 125)(39, 150)(40, 149)(41, 148)(42, 130)(43, 147)(44, 132)(45, 142)(46, 144)(47, 135)(48, 136)(49, 137)(50, 138)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.980
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-5, Y3 * Y1 * Y3^3 * Y1 * Y3^5, Y3^-4 * Y1^3 * Y3^-3 * Y1, (Y3 * Y2^-1)^25, Y1^91 * Y3^-2 * Y1^3 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 24, 74, 13, 63, 18, 68, 30, 80, 40, 90, 45, 95, 49, 99, 38, 88, 44, 94, 47, 97, 34, 84, 19, 69, 31, 81, 41, 91, 36, 86, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 39, 89, 37, 87, 25, 75, 32, 82, 42, 92, 46, 96, 33, 83, 43, 93, 50, 100, 48, 98, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 123)(27, 122)(28, 114)(29, 141)(30, 116)(31, 143)(32, 118)(33, 145)(34, 146)(35, 147)(36, 148)(37, 124)(38, 125)(39, 126)(40, 128)(41, 150)(42, 130)(43, 149)(44, 132)(45, 139)(46, 140)(47, 142)(48, 144)(49, 137)(50, 138)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.985
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), Y3 * Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-11, (Y3 * Y2^-1)^25, Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^2 * Y3^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 12, 62, 5, 55, 8, 58, 14, 64, 20, 70, 13, 63, 16, 66, 22, 72, 28, 78, 21, 71, 24, 74, 30, 80, 36, 86, 29, 79, 32, 82, 38, 88, 44, 94, 37, 87, 40, 90, 46, 96, 50, 100, 45, 95, 48, 98, 41, 91, 47, 97, 49, 99, 42, 92, 33, 83, 39, 89, 43, 93, 34, 84, 25, 75, 31, 81, 35, 85, 26, 76, 17, 67, 23, 73, 27, 77, 18, 68, 9, 59, 15, 65, 19, 69, 10, 60, 3, 53, 7, 57, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 111)(7, 115)(8, 102)(9, 117)(10, 118)(11, 119)(12, 104)(13, 105)(14, 106)(15, 123)(16, 108)(17, 125)(18, 126)(19, 127)(20, 112)(21, 113)(22, 114)(23, 131)(24, 116)(25, 133)(26, 134)(27, 135)(28, 120)(29, 121)(30, 122)(31, 139)(32, 124)(33, 141)(34, 142)(35, 143)(36, 128)(37, 129)(38, 130)(39, 147)(40, 132)(41, 146)(42, 148)(43, 149)(44, 136)(45, 137)(46, 138)(47, 150)(48, 140)(49, 145)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.981
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, Y1 * Y3 * Y1 * Y3^7, (Y3 * Y2^-1)^25, Y3^3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-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, 51, 2, 52, 6, 56, 14, 64, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 26, 76, 33, 83, 20, 70, 9, 59, 17, 67, 27, 77, 38, 88, 45, 95, 32, 82, 19, 69, 29, 79, 39, 89, 47, 97, 50, 100, 44, 94, 31, 81, 41, 91, 37, 87, 42, 92, 48, 98, 49, 99, 43, 93, 36, 86, 25, 75, 30, 80, 40, 90, 46, 96, 35, 85, 24, 74, 13, 63, 18, 68, 28, 78, 34, 84, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 126)(15, 127)(16, 106)(17, 129)(18, 108)(19, 131)(20, 132)(21, 133)(22, 114)(23, 111)(24, 112)(25, 113)(26, 138)(27, 139)(28, 116)(29, 141)(30, 118)(31, 143)(32, 144)(33, 145)(34, 122)(35, 123)(36, 124)(37, 125)(38, 147)(39, 137)(40, 128)(41, 136)(42, 130)(43, 135)(44, 149)(45, 150)(46, 134)(47, 142)(48, 140)(49, 146)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.982
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^4, (R * Y2 * Y3^-1)^2, Y1^12 * Y3^-1, Y3^2 * Y1^-24, (Y3 * Y2^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 23, 73, 31, 81, 39, 89, 45, 95, 37, 87, 29, 79, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 24, 74, 32, 82, 40, 90, 47, 97, 50, 100, 44, 94, 36, 86, 28, 78, 20, 70, 9, 59, 17, 67, 13, 63, 18, 68, 26, 76, 34, 84, 42, 92, 48, 98, 49, 99, 43, 93, 35, 85, 27, 77, 19, 69, 12, 62, 5, 55, 8, 58, 16, 66, 25, 75, 33, 83, 41, 91, 46, 96, 38, 88, 30, 80, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 124)(15, 113)(16, 106)(17, 112)(18, 108)(19, 111)(20, 127)(21, 128)(22, 129)(23, 132)(24, 118)(25, 114)(26, 116)(27, 122)(28, 135)(29, 136)(30, 137)(31, 140)(32, 126)(33, 123)(34, 125)(35, 130)(36, 143)(37, 144)(38, 145)(39, 147)(40, 134)(41, 131)(42, 133)(43, 138)(44, 149)(45, 150)(46, 139)(47, 142)(48, 141)(49, 146)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.973
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {25, 50, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^6 * Y3 * Y1^6, (Y3 * Y2^-1)^25, (Y1^-1 * Y3^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 23, 73, 31, 81, 39, 89, 45, 95, 37, 87, 29, 79, 21, 71, 12, 62, 5, 55, 8, 58, 16, 66, 25, 75, 33, 83, 41, 91, 47, 97, 50, 100, 46, 96, 38, 88, 30, 80, 22, 72, 13, 63, 18, 68, 9, 59, 17, 67, 26, 76, 34, 84, 42, 92, 48, 98, 49, 99, 43, 93, 35, 85, 27, 77, 19, 69, 10, 60, 3, 53, 7, 57, 15, 65, 24, 74, 32, 82, 40, 90, 44, 94, 36, 86, 28, 78, 20, 70, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 116)(10, 118)(11, 119)(12, 104)(13, 105)(14, 124)(15, 126)(16, 106)(17, 125)(18, 108)(19, 113)(20, 127)(21, 111)(22, 112)(23, 132)(24, 134)(25, 114)(26, 133)(27, 122)(28, 135)(29, 120)(30, 121)(31, 140)(32, 142)(33, 123)(34, 141)(35, 130)(36, 143)(37, 128)(38, 129)(39, 144)(40, 148)(41, 131)(42, 147)(43, 138)(44, 149)(45, 136)(46, 137)(47, 139)(48, 150)(49, 146)(50, 145)(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) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.983
Graph:: bipartite
	v = 51 e = 100 f = 3
	degree seq :: [ 2^50, 100 ]

E24.1017 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^-3 * T1^3, T2^12 * T1^5, T2^3 * T1^14, T2^51 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 41, 48, 49, 45, 38, 31, 27, 20, 11, 18, 8, 2, 7, 17, 22, 29, 36, 40, 47, 50, 43, 39, 32, 25, 21, 12, 4, 10, 16, 6, 15, 24, 28, 35, 42, 46, 51, 44, 37, 33, 26, 19, 13, 5)(52, 53, 57, 65, 73, 79, 85, 91, 97, 100, 94, 88, 82, 76, 70, 62, 55)(54, 58, 66, 74, 80, 86, 92, 98, 102, 96, 90, 84, 78, 72, 64, 69, 61)(56, 59, 67, 60, 68, 75, 81, 87, 93, 99, 101, 95, 89, 83, 77, 71, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1041
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1018 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2^-1 * T1 * T2^-2 * T1, T2^7 * T1^-1 * T2^2, T2^3 * T1^2 * T2 * T1 * T2 * T1 * T2 * T1, T2^-1 * T1^-3 * T2^-2 * T1 * T2^-2 * T1^-3 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 32, 18, 8, 2, 7, 17, 31, 45, 48, 37, 30, 16, 6, 15, 29, 44, 49, 38, 22, 36, 28, 14, 27, 43, 50, 39, 23, 11, 21, 35, 26, 42, 51, 40, 24, 12, 4, 10, 20, 34, 47, 41, 25, 13, 5)(52, 53, 57, 65, 77, 85, 70, 82, 95, 101, 91, 76, 83, 88, 73, 62, 55)(54, 58, 66, 78, 93, 98, 84, 96, 100, 90, 75, 64, 69, 81, 87, 72, 61)(56, 59, 67, 79, 86, 71, 60, 68, 80, 94, 102, 92, 97, 99, 89, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1052
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1019 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^-5 * T2^-1 * T1^-1 * T2^-2, T2^-7 * T1^-1 * T2^-2, T1^2 * T2^-2 * T1 * T2^-1 * T1 * T2^-3 * T1, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 40, 24, 12, 4, 10, 20, 34, 48, 42, 26, 39, 23, 11, 21, 35, 49, 43, 28, 14, 27, 38, 22, 36, 50, 44, 30, 16, 6, 15, 29, 37, 51, 46, 32, 18, 8, 2, 7, 17, 31, 45, 41, 25, 13, 5)(52, 53, 57, 65, 77, 91, 76, 83, 95, 100, 85, 70, 82, 88, 73, 62, 55)(54, 58, 66, 78, 90, 75, 64, 69, 81, 94, 99, 84, 96, 102, 87, 72, 61)(56, 59, 67, 79, 93, 98, 92, 97, 101, 86, 71, 60, 68, 80, 89, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1039
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1020 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-8 * T1, T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-3 * T1, T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 40, 30, 16, 6, 15, 29, 22, 36, 46, 51, 48, 38, 26, 24, 12, 4, 10, 20, 34, 44, 42, 32, 18, 8, 2, 7, 17, 31, 41, 50, 49, 39, 28, 14, 27, 23, 11, 21, 35, 45, 47, 37, 25, 13, 5)(52, 53, 57, 65, 77, 76, 83, 91, 100, 102, 96, 85, 70, 82, 73, 62, 55)(54, 58, 66, 78, 75, 64, 69, 81, 90, 99, 98, 95, 84, 92, 87, 72, 61)(56, 59, 67, 79, 89, 88, 93, 94, 101, 97, 86, 71, 60, 68, 80, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1045
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1021 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, T1 * T2 * T1 * T2^8, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 45, 35, 23, 11, 21, 28, 14, 27, 39, 49, 50, 42, 32, 18, 8, 2, 7, 17, 31, 41, 46, 36, 24, 12, 4, 10, 20, 26, 38, 48, 51, 44, 34, 22, 30, 16, 6, 15, 29, 40, 47, 37, 25, 13, 5)(52, 53, 57, 65, 77, 70, 82, 91, 100, 102, 96, 87, 76, 83, 73, 62, 55)(54, 58, 66, 78, 89, 84, 92, 98, 101, 95, 86, 75, 64, 69, 81, 72, 61)(56, 59, 67, 79, 71, 60, 68, 80, 90, 99, 94, 97, 88, 93, 85, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1053
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1022 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^17, T1^-17, T1^17, T1^-7 * T2^2 * T1^-8 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 47, 49, 51, 45, 38, 40, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 43, 48, 50, 44, 46, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(52, 53, 57, 65, 71, 77, 83, 89, 95, 100, 94, 88, 82, 76, 70, 62, 55)(54, 58, 64, 67, 73, 79, 85, 91, 97, 102, 99, 93, 87, 81, 75, 69, 61)(56, 59, 66, 72, 78, 84, 90, 96, 101, 98, 92, 86, 80, 74, 68, 60, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1050
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1023 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^-17, T1^17, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 46, 44, 50, 48, 41, 43, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 45, 51, 47, 49, 42, 35, 37, 30, 23, 25, 18, 11, 13, 5)(52, 53, 57, 65, 71, 77, 83, 89, 95, 98, 92, 86, 80, 74, 68, 62, 55)(54, 58, 66, 72, 78, 84, 90, 96, 101, 100, 94, 88, 82, 76, 70, 64, 61)(56, 59, 60, 67, 73, 79, 85, 91, 97, 102, 99, 93, 87, 81, 75, 69, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1042
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1024 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2 * T1^-1 * T2^2, T2^12 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 37, 45, 48, 40, 32, 24, 12, 4, 10, 20, 14, 26, 34, 42, 50, 47, 39, 31, 23, 11, 21, 16, 6, 15, 27, 35, 43, 51, 46, 38, 30, 22, 18, 8, 2, 7, 17, 28, 36, 44, 49, 41, 33, 25, 13, 5)(52, 53, 57, 65, 70, 79, 86, 93, 96, 100, 97, 90, 83, 76, 73, 62, 55)(54, 58, 66, 77, 80, 87, 94, 101, 99, 92, 89, 82, 75, 64, 69, 72, 61)(56, 59, 67, 71, 60, 68, 78, 85, 88, 95, 102, 98, 91, 84, 81, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1049
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1025 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T1^3 * T2 * T1 * T2^2, T2^3 * T1^-1 * T2^-6 * T1^-3, T2^-12 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 37, 45, 44, 36, 28, 18, 8, 2, 7, 17, 22, 32, 40, 48, 51, 43, 35, 27, 16, 6, 15, 23, 11, 21, 31, 39, 47, 50, 42, 34, 26, 14, 24, 12, 4, 10, 20, 30, 38, 46, 49, 41, 33, 25, 13, 5)(52, 53, 57, 65, 76, 79, 86, 93, 100, 96, 99, 90, 81, 70, 73, 62, 55)(54, 58, 66, 75, 64, 69, 78, 85, 92, 95, 102, 98, 89, 80, 83, 72, 61)(56, 59, 67, 77, 84, 87, 94, 101, 97, 88, 91, 82, 71, 60, 68, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1051
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1026 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^2 * T2^2 * T1 * T2, T1^-1 * T2 * T1^-2 * T2^2 * T1^-4, T2^-2 * T1^2 * T2^-3 * T1^2 * T2^-4, T2^2 * T1^10 * T2, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 44, 26, 43, 47, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 42, 50, 51, 46, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 48, 49, 37, 45, 28, 14, 27, 41, 25, 13, 5)(52, 53, 57, 65, 77, 93, 85, 70, 82, 91, 76, 83, 97, 88, 73, 62, 55)(54, 58, 66, 78, 94, 101, 99, 84, 90, 75, 64, 69, 81, 96, 87, 72, 61)(56, 59, 67, 79, 95, 86, 71, 60, 68, 80, 92, 98, 102, 100, 89, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1048
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1027 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1 * T2^-1 * T1 * T2^-5 * T1, T1^-3 * T2^-1 * T1^-1 * T2^-2 * T1^-3, T1^-3 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 45, 37, 48, 49, 40, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 46, 51, 50, 42, 39, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 47, 44, 26, 43, 38, 22, 36, 41, 25, 13, 5)(52, 53, 57, 65, 77, 93, 91, 76, 83, 85, 70, 82, 97, 88, 73, 62, 55)(54, 58, 66, 78, 94, 90, 75, 64, 69, 81, 84, 98, 102, 99, 87, 72, 61)(56, 59, 67, 79, 95, 101, 100, 92, 86, 71, 60, 68, 80, 96, 89, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1046
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1028 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T2)^2, (F * T1)^2, T1^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 4, 10, 15, 11, 16, 21, 17, 22, 27, 23, 28, 33, 29, 34, 39, 35, 40, 45, 41, 46, 50, 47, 51, 49, 42, 48, 44, 36, 43, 38, 30, 37, 32, 24, 31, 26, 18, 25, 20, 12, 19, 14, 6, 13, 8, 2, 7, 5)(52, 53, 57, 63, 69, 75, 81, 87, 93, 98, 92, 86, 80, 74, 68, 62, 55)(54, 58, 64, 70, 76, 82, 88, 94, 99, 102, 97, 91, 85, 79, 73, 67, 61)(56, 59, 65, 71, 77, 83, 89, 95, 100, 101, 96, 90, 84, 78, 72, 66, 60)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1044
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1029 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^17, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 49, 42, 48, 51, 46, 50, 47, 40, 45, 41, 34, 39, 35, 28, 33, 29, 22, 27, 23, 16, 21, 17, 10, 15, 11, 4, 9, 5)(52, 53, 57, 63, 69, 75, 81, 87, 93, 97, 91, 85, 79, 73, 67, 61, 55)(54, 58, 64, 70, 76, 82, 88, 94, 99, 101, 96, 90, 84, 78, 72, 66, 60)(56, 59, 65, 71, 77, 83, 89, 95, 100, 102, 98, 92, 86, 80, 74, 68, 62)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1047
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1030 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^5, T2 * T1^-2 * T2 * T1^-4 * T2 * T1^-2, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 44, 49, 36, 22, 34, 45, 38, 50, 48, 35, 46, 40, 26, 39, 51, 47, 42, 28, 14, 27, 41, 43, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(52, 53, 57, 65, 77, 89, 95, 83, 70, 76, 82, 94, 98, 86, 73, 62, 55)(54, 58, 66, 78, 90, 101, 100, 88, 75, 64, 69, 81, 93, 97, 85, 72, 61)(56, 59, 67, 79, 91, 96, 84, 71, 60, 68, 80, 92, 102, 99, 87, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1040
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1031 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^-6 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^3 * T1 * T2, T2 * T1 * T2 * T1^7 * T2, (T1^-1 * T2^-1)^51 ]
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, 46, 51, 40, 26, 39, 47, 34, 45, 50, 38, 48, 35, 22, 33, 44, 49, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(52, 53, 57, 65, 77, 89, 100, 88, 76, 70, 82, 94, 97, 85, 73, 62, 55)(54, 58, 66, 78, 90, 99, 87, 75, 64, 69, 81, 93, 102, 96, 84, 72, 61)(56, 59, 67, 79, 91, 101, 95, 83, 71, 60, 68, 80, 92, 98, 86, 74, 63)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^17 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1043
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 51 f = 1
	degree seq :: [ 17^3, 51 ]

E24.1032 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^25, (T2^-1 * T1^-1)^17 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 48, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 49, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(52, 53, 54, 57, 58, 61, 62, 65, 66, 69, 70, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 97, 98, 101, 102, 100, 99, 96, 95, 92, 91, 88, 87, 84, 83, 80, 79, 76, 75, 72, 71, 68, 67, 64, 63, 60, 59, 56, 55)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1057
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1033 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^-2 * T2^-1 * T1^-2, T2^-12 * T1^-1 * T2^-1, T1 * T2^-1 * T1 * T2^-5 * T1 * T2^-6, T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 44, 36, 28, 20, 12, 4, 10, 18, 26, 34, 42, 50, 46, 38, 30, 22, 14, 6, 11, 19, 27, 35, 43, 51, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 45, 37, 29, 21, 13, 5)(52, 53, 57, 63, 56, 59, 65, 71, 64, 67, 73, 79, 72, 75, 81, 87, 80, 83, 89, 95, 88, 91, 97, 100, 96, 99, 101, 92, 98, 102, 93, 84, 90, 94, 85, 76, 82, 86, 77, 68, 74, 78, 69, 60, 66, 70, 61, 54, 58, 62, 55)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1056
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1034 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|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 * T1 * T2^9, (T1^-1 * T2^-1)^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 42, 32, 22, 12, 4, 10, 20, 30, 40, 48, 49, 41, 31, 21, 11, 14, 24, 34, 44, 50, 51, 46, 36, 26, 16, 6, 15, 25, 35, 45, 47, 38, 28, 18, 8, 2, 7, 17, 27, 37, 43, 33, 23, 13, 5)(52, 53, 57, 65, 61, 54, 58, 66, 75, 71, 60, 68, 76, 85, 81, 70, 78, 86, 95, 91, 80, 88, 96, 101, 99, 90, 94, 98, 102, 100, 93, 84, 89, 97, 92, 83, 74, 79, 87, 82, 73, 64, 69, 77, 72, 63, 56, 59, 67, 62, 55)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1060
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1035 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^3 * T2^-1 * T1^-3, T1^-1 * T2^-1 * T1^-6, T2^2 * T1^-1 * T2 * T1^-1 * T2^4, (T1^-1 * T2^-1)^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 30, 16, 6, 15, 29, 43, 50, 48, 40, 26, 22, 36, 45, 47, 38, 24, 12, 4, 10, 20, 34, 32, 18, 8, 2, 7, 17, 31, 44, 42, 28, 14, 27, 41, 49, 51, 46, 37, 23, 11, 21, 35, 39, 25, 13, 5)(52, 53, 57, 65, 77, 74, 63, 56, 59, 67, 79, 91, 88, 75, 64, 69, 81, 93, 99, 97, 89, 76, 83, 84, 95, 101, 102, 98, 90, 85, 70, 82, 94, 100, 96, 86, 71, 60, 68, 80, 92, 87, 72, 61, 54, 58, 66, 78, 73, 62, 55)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1058
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1036 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^3 * T1^2 * T2, T1 * T2^-1 * T1^7, (T1^-1 * T2^-1)^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 48, 51, 44, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 46, 49, 37, 26, 42, 45, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 47, 50, 43, 28, 14, 27, 41, 25, 13, 5)(52, 53, 57, 65, 77, 87, 72, 61, 54, 58, 66, 78, 93, 99, 86, 71, 60, 68, 80, 92, 96, 102, 98, 85, 70, 82, 91, 76, 83, 95, 101, 97, 84, 90, 75, 64, 69, 81, 94, 100, 89, 74, 63, 56, 59, 67, 79, 88, 73, 62, 55)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1054
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1037 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1), T1^4 * T2^-5, T2^2 * T1^3 * T2^2 * T1^4, T2^-1 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-2 * T1^4, T1^-1 * T2^-1 * T1^-2 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^40, T2^-1 * T1^-40 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 26, 43, 49, 38, 22, 36, 32, 18, 8, 2, 7, 17, 31, 46, 42, 50, 39, 23, 11, 21, 35, 30, 16, 6, 15, 29, 45, 47, 51, 40, 24, 12, 4, 10, 20, 34, 28, 14, 27, 44, 48, 37, 41, 25, 13, 5)(52, 53, 57, 65, 77, 93, 102, 92, 87, 72, 61, 54, 58, 66, 78, 94, 101, 91, 76, 83, 86, 71, 60, 68, 80, 95, 100, 90, 75, 64, 69, 81, 85, 70, 82, 96, 99, 89, 74, 63, 56, 59, 67, 79, 84, 97, 98, 88, 73, 62, 55)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1055
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1038 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2^-1 * T1^-1 * T2^-4, T1^-3 * T2 * T1^-1 * T2^2 * T1^-5, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 41, 45, 34, 43, 48, 36, 47, 50, 39, 28, 14, 27, 30, 18, 8, 2, 7, 17, 24, 12, 4, 10, 20, 31, 35, 22, 33, 42, 46, 51, 44, 49, 38, 26, 37, 40, 29, 16, 6, 15, 25, 13, 5)(52, 53, 57, 65, 77, 87, 97, 92, 82, 70, 75, 64, 69, 80, 90, 100, 94, 84, 72, 61, 54, 58, 66, 78, 88, 98, 102, 96, 86, 74, 63, 56, 59, 67, 79, 89, 99, 93, 83, 71, 60, 68, 76, 81, 91, 101, 95, 85, 73, 62, 55)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1059
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1039 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^-3 * T1^3, T2^12 * T1^5, T2^3 * T1^14, T2^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 14, 65, 23, 74, 30, 81, 34, 85, 41, 92, 48, 99, 49, 100, 45, 96, 38, 89, 31, 82, 27, 78, 20, 71, 11, 62, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 22, 73, 29, 80, 36, 87, 40, 91, 47, 98, 50, 101, 43, 94, 39, 90, 32, 83, 25, 76, 21, 72, 12, 63, 4, 55, 10, 61, 16, 67, 6, 57, 15, 66, 24, 75, 28, 79, 35, 86, 42, 93, 46, 97, 51, 102, 44, 95, 37, 88, 33, 84, 26, 77, 19, 70, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 73)(15, 74)(16, 60)(17, 75)(18, 61)(19, 62)(20, 63)(21, 64)(22, 79)(23, 80)(24, 81)(25, 70)(26, 71)(27, 72)(28, 85)(29, 86)(30, 87)(31, 76)(32, 77)(33, 78)(34, 91)(35, 92)(36, 93)(37, 82)(38, 83)(39, 84)(40, 97)(41, 98)(42, 99)(43, 88)(44, 89)(45, 90)(46, 100)(47, 102)(48, 101)(49, 94)(50, 95)(51, 96)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1019
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1040 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2^-1 * T1 * T2^-2 * T1, T2^7 * T1^-1 * T2^2, T2^3 * T1^2 * T2 * T1 * T2 * T1 * T2 * T1, T2^-1 * T1^-3 * T2^-2 * T1 * T2^-2 * T1^-3 * T2^-1 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 46, 97, 32, 83, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 31, 82, 45, 96, 48, 99, 37, 88, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 44, 95, 49, 100, 38, 89, 22, 73, 36, 87, 28, 79, 14, 65, 27, 78, 43, 94, 50, 101, 39, 90, 23, 74, 11, 62, 21, 72, 35, 86, 26, 77, 42, 93, 51, 102, 40, 91, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 34, 85, 47, 98, 41, 92, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 85)(27, 93)(28, 86)(29, 94)(30, 87)(31, 95)(32, 88)(33, 96)(34, 70)(35, 71)(36, 72)(37, 73)(38, 74)(39, 75)(40, 76)(41, 97)(42, 98)(43, 102)(44, 101)(45, 100)(46, 99)(47, 84)(48, 89)(49, 90)(50, 91)(51, 92)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1030
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1041 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^-5 * T2^-1 * T1^-1 * T2^-2, T2^-7 * T1^-1 * T2^-2, T1^2 * T2^-2 * T1 * T2^-1 * T1 * T2^-3 * T1, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 47, 98, 40, 91, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 34, 85, 48, 99, 42, 93, 26, 77, 39, 90, 23, 74, 11, 62, 21, 72, 35, 86, 49, 100, 43, 94, 28, 79, 14, 65, 27, 78, 38, 89, 22, 73, 36, 87, 50, 101, 44, 95, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 37, 88, 51, 102, 46, 97, 32, 83, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 31, 82, 45, 96, 41, 92, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 91)(27, 90)(28, 93)(29, 89)(30, 94)(31, 88)(32, 95)(33, 96)(34, 70)(35, 71)(36, 72)(37, 73)(38, 74)(39, 75)(40, 76)(41, 97)(42, 98)(43, 99)(44, 100)(45, 102)(46, 101)(47, 92)(48, 84)(49, 85)(50, 86)(51, 87)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1017
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1042 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-8 * T1, T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-3 * T1, T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 43, 94, 40, 91, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 22, 73, 36, 87, 46, 97, 51, 102, 48, 99, 38, 89, 26, 77, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 34, 85, 44, 95, 42, 93, 32, 83, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 31, 82, 41, 92, 50, 101, 49, 100, 39, 90, 28, 79, 14, 65, 27, 78, 23, 74, 11, 62, 21, 72, 35, 86, 45, 96, 47, 98, 37, 88, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 76)(27, 75)(28, 89)(29, 74)(30, 90)(31, 73)(32, 91)(33, 92)(34, 70)(35, 71)(36, 72)(37, 93)(38, 88)(39, 99)(40, 100)(41, 87)(42, 94)(43, 101)(44, 84)(45, 85)(46, 86)(47, 95)(48, 98)(49, 102)(50, 97)(51, 96)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1023
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1043 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, T1 * T2 * T1 * T2^8, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 43, 94, 45, 96, 35, 86, 23, 74, 11, 62, 21, 72, 28, 79, 14, 65, 27, 78, 39, 90, 49, 100, 50, 101, 42, 93, 32, 83, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 31, 82, 41, 92, 46, 97, 36, 87, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 26, 77, 38, 89, 48, 99, 51, 102, 44, 95, 34, 85, 22, 73, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 40, 91, 47, 98, 37, 88, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 70)(27, 89)(28, 71)(29, 90)(30, 72)(31, 91)(32, 73)(33, 92)(34, 74)(35, 75)(36, 76)(37, 93)(38, 84)(39, 99)(40, 100)(41, 98)(42, 85)(43, 97)(44, 86)(45, 87)(46, 88)(47, 101)(48, 94)(49, 102)(50, 95)(51, 96)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1031
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1044 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^17, T1^-17, T1^17, T1^-7 * T2^2 * T1^-8 * T2 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 11, 62, 18, 69, 23, 74, 25, 76, 30, 81, 35, 86, 37, 88, 42, 93, 47, 98, 49, 100, 51, 102, 45, 96, 38, 89, 40, 91, 33, 84, 26, 77, 28, 79, 21, 72, 14, 65, 16, 67, 8, 59, 2, 53, 7, 58, 12, 63, 4, 55, 10, 61, 17, 68, 19, 70, 24, 75, 29, 80, 31, 82, 36, 87, 41, 92, 43, 94, 48, 99, 50, 101, 44, 95, 46, 97, 39, 90, 32, 83, 34, 85, 27, 78, 20, 71, 22, 73, 15, 66, 6, 57, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 64)(8, 66)(9, 63)(10, 54)(11, 55)(12, 56)(13, 67)(14, 71)(15, 72)(16, 73)(17, 60)(18, 61)(19, 62)(20, 77)(21, 78)(22, 79)(23, 68)(24, 69)(25, 70)(26, 83)(27, 84)(28, 85)(29, 74)(30, 75)(31, 76)(32, 89)(33, 90)(34, 91)(35, 80)(36, 81)(37, 82)(38, 95)(39, 96)(40, 97)(41, 86)(42, 87)(43, 88)(44, 100)(45, 101)(46, 102)(47, 92)(48, 93)(49, 94)(50, 98)(51, 99)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1028
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1045 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^-17, T1^17, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 6, 57, 15, 66, 22, 73, 20, 71, 27, 78, 34, 85, 32, 83, 39, 90, 46, 97, 44, 95, 50, 101, 48, 99, 41, 92, 43, 94, 36, 87, 29, 80, 31, 82, 24, 75, 17, 68, 19, 70, 12, 63, 4, 55, 10, 61, 8, 59, 2, 53, 7, 58, 16, 67, 14, 65, 21, 72, 28, 79, 26, 77, 33, 84, 40, 91, 38, 89, 45, 96, 51, 102, 47, 98, 49, 100, 42, 93, 35, 86, 37, 88, 30, 81, 23, 74, 25, 76, 18, 69, 11, 62, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 60)(9, 67)(10, 54)(11, 55)(12, 56)(13, 61)(14, 71)(15, 72)(16, 73)(17, 62)(18, 63)(19, 64)(20, 77)(21, 78)(22, 79)(23, 68)(24, 69)(25, 70)(26, 83)(27, 84)(28, 85)(29, 74)(30, 75)(31, 76)(32, 89)(33, 90)(34, 91)(35, 80)(36, 81)(37, 82)(38, 95)(39, 96)(40, 97)(41, 86)(42, 87)(43, 88)(44, 98)(45, 101)(46, 102)(47, 92)(48, 93)(49, 94)(50, 100)(51, 99)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1020
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1046 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2 * T1^-1 * T2^2, T2^12 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 29, 80, 37, 88, 45, 96, 48, 99, 40, 91, 32, 83, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 14, 65, 26, 77, 34, 85, 42, 93, 50, 101, 47, 98, 39, 90, 31, 82, 23, 74, 11, 62, 21, 72, 16, 67, 6, 57, 15, 66, 27, 78, 35, 86, 43, 94, 51, 102, 46, 97, 38, 89, 30, 81, 22, 73, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 28, 79, 36, 87, 44, 95, 49, 100, 41, 92, 33, 84, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 70)(15, 77)(16, 71)(17, 78)(18, 72)(19, 79)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 73)(26, 80)(27, 85)(28, 86)(29, 87)(30, 74)(31, 75)(32, 76)(33, 81)(34, 88)(35, 93)(36, 94)(37, 95)(38, 82)(39, 83)(40, 84)(41, 89)(42, 96)(43, 101)(44, 102)(45, 100)(46, 90)(47, 91)(48, 92)(49, 97)(50, 99)(51, 98)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1027
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1047 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T1^3 * T2 * T1 * T2^2, T2^3 * T1^-1 * T2^-6 * T1^-3, T2^-12 * T1 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 29, 80, 37, 88, 45, 96, 44, 95, 36, 87, 28, 79, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 22, 73, 32, 83, 40, 91, 48, 99, 51, 102, 43, 94, 35, 86, 27, 78, 16, 67, 6, 57, 15, 66, 23, 74, 11, 62, 21, 72, 31, 82, 39, 90, 47, 98, 50, 101, 42, 93, 34, 85, 26, 77, 14, 65, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 30, 81, 38, 89, 46, 97, 49, 100, 41, 92, 33, 84, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 76)(15, 75)(16, 77)(17, 74)(18, 78)(19, 73)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 79)(26, 84)(27, 85)(28, 86)(29, 83)(30, 70)(31, 71)(32, 72)(33, 87)(34, 92)(35, 93)(36, 94)(37, 91)(38, 80)(39, 81)(40, 82)(41, 95)(42, 100)(43, 101)(44, 102)(45, 99)(46, 88)(47, 89)(48, 90)(49, 96)(50, 97)(51, 98)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1029
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1048 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^2 * T2^2 * T1 * T2, T1^-1 * T2 * T1^-2 * T2^2 * T1^-4, T2^-2 * T1^2 * T2^-3 * T1^2 * T2^-4, T2^2 * T1^10 * T2, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 38, 89, 22, 73, 36, 87, 44, 95, 26, 77, 43, 94, 47, 98, 32, 83, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 31, 82, 39, 90, 23, 74, 11, 62, 21, 72, 35, 86, 42, 93, 50, 101, 51, 102, 46, 97, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 40, 91, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 34, 85, 48, 99, 49, 100, 37, 88, 45, 96, 28, 79, 14, 65, 27, 78, 41, 92, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 93)(27, 94)(28, 95)(29, 92)(30, 96)(31, 91)(32, 97)(33, 90)(34, 70)(35, 71)(36, 72)(37, 73)(38, 74)(39, 75)(40, 76)(41, 98)(42, 85)(43, 101)(44, 86)(45, 87)(46, 88)(47, 102)(48, 84)(49, 89)(50, 99)(51, 100)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1026
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1049 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1 * T2^-1 * T1 * T2^-5 * T1, T1^-3 * T2^-1 * T1^-1 * T2^-2 * T1^-3, T1^-3 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 28, 79, 14, 65, 27, 78, 45, 96, 37, 88, 48, 99, 49, 100, 40, 91, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 34, 85, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 46, 97, 51, 102, 50, 101, 42, 93, 39, 90, 23, 74, 11, 62, 21, 72, 35, 86, 32, 83, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 31, 82, 47, 98, 44, 95, 26, 77, 43, 94, 38, 89, 22, 73, 36, 87, 41, 92, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 93)(27, 94)(28, 95)(29, 96)(30, 84)(31, 97)(32, 85)(33, 98)(34, 70)(35, 71)(36, 72)(37, 73)(38, 74)(39, 75)(40, 76)(41, 86)(42, 91)(43, 90)(44, 101)(45, 89)(46, 88)(47, 102)(48, 87)(49, 92)(50, 100)(51, 99)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1024
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1050 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T2)^2, (F * T1)^2, T1^17 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 4, 55, 10, 61, 15, 66, 11, 62, 16, 67, 21, 72, 17, 68, 22, 73, 27, 78, 23, 74, 28, 79, 33, 84, 29, 80, 34, 85, 39, 90, 35, 86, 40, 91, 45, 96, 41, 92, 46, 97, 50, 101, 47, 98, 51, 102, 49, 100, 42, 93, 48, 99, 44, 95, 36, 87, 43, 94, 38, 89, 30, 81, 37, 88, 32, 83, 24, 75, 31, 82, 26, 77, 18, 69, 25, 76, 20, 71, 12, 63, 19, 70, 14, 65, 6, 57, 13, 64, 8, 59, 2, 53, 7, 58, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 63)(7, 64)(8, 65)(9, 56)(10, 54)(11, 55)(12, 69)(13, 70)(14, 71)(15, 60)(16, 61)(17, 62)(18, 75)(19, 76)(20, 77)(21, 66)(22, 67)(23, 68)(24, 81)(25, 82)(26, 83)(27, 72)(28, 73)(29, 74)(30, 87)(31, 88)(32, 89)(33, 78)(34, 79)(35, 80)(36, 93)(37, 94)(38, 95)(39, 84)(40, 85)(41, 86)(42, 98)(43, 99)(44, 100)(45, 90)(46, 91)(47, 92)(48, 102)(49, 101)(50, 96)(51, 97)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1022
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1051 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^17, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 52, 3, 54, 8, 59, 2, 53, 7, 58, 14, 65, 6, 57, 13, 64, 20, 71, 12, 63, 19, 70, 26, 77, 18, 69, 25, 76, 32, 83, 24, 75, 31, 82, 38, 89, 30, 81, 37, 88, 44, 95, 36, 87, 43, 94, 49, 100, 42, 93, 48, 99, 51, 102, 46, 97, 50, 101, 47, 98, 40, 91, 45, 96, 41, 92, 34, 85, 39, 90, 35, 86, 28, 79, 33, 84, 29, 80, 22, 73, 27, 78, 23, 74, 16, 67, 21, 72, 17, 68, 10, 61, 15, 66, 11, 62, 4, 55, 9, 60, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 63)(7, 64)(8, 65)(9, 54)(10, 55)(11, 56)(12, 69)(13, 70)(14, 71)(15, 60)(16, 61)(17, 62)(18, 75)(19, 76)(20, 77)(21, 66)(22, 67)(23, 68)(24, 81)(25, 82)(26, 83)(27, 72)(28, 73)(29, 74)(30, 87)(31, 88)(32, 89)(33, 78)(34, 79)(35, 80)(36, 93)(37, 94)(38, 95)(39, 84)(40, 85)(41, 86)(42, 97)(43, 99)(44, 100)(45, 90)(46, 91)(47, 92)(48, 101)(49, 102)(50, 96)(51, 98)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1025
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1052 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^5, T2 * T1^-2 * T2 * T1^-4 * T2 * T1^-2, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 32, 83, 37, 88, 23, 74, 11, 62, 21, 72, 33, 84, 44, 95, 49, 100, 36, 87, 22, 73, 34, 85, 45, 96, 38, 89, 50, 101, 48, 99, 35, 86, 46, 97, 40, 91, 26, 77, 39, 90, 51, 102, 47, 98, 42, 93, 28, 79, 14, 65, 27, 78, 41, 92, 43, 94, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 31, 82, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 76)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 82)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 95)(39, 101)(40, 96)(41, 102)(42, 97)(43, 98)(44, 83)(45, 84)(46, 85)(47, 86)(48, 87)(49, 88)(50, 100)(51, 99)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1018
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1053 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^-6 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^3 * T1 * T2, T2 * T1 * T2 * T1^7 * T2, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 18, 69, 8, 59, 2, 53, 7, 58, 17, 68, 31, 82, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 43, 94, 42, 93, 28, 79, 14, 65, 27, 78, 41, 92, 46, 97, 51, 102, 40, 91, 26, 77, 39, 90, 47, 98, 34, 85, 45, 96, 50, 101, 38, 89, 48, 99, 35, 86, 22, 73, 33, 84, 44, 95, 49, 100, 36, 87, 23, 74, 11, 62, 21, 72, 32, 83, 37, 88, 24, 75, 12, 63, 4, 55, 10, 61, 20, 71, 25, 76, 13, 64, 5, 56)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 70)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 100)(39, 99)(40, 101)(41, 98)(42, 102)(43, 97)(44, 83)(45, 84)(46, 85)(47, 86)(48, 87)(49, 88)(50, 95)(51, 96)
	local type(s) :: { ( 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51, 17, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1021
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 4
	degree seq :: [ 102 ]

E24.1054 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^3 * T1^-3, T1^-15 * T2^-2, T1^-1 * T2^-3 * T1^-1 * T2^-2 * T1^-1 * T2^-4 * T1^-2 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^2 * T2^2 * T1 * T2 * T1^8, T2^17, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 52, 3, 54, 9, 60, 14, 65, 23, 74, 30, 81, 34, 85, 41, 92, 48, 99, 51, 102, 44, 95, 37, 88, 33, 84, 26, 77, 19, 70, 13, 64, 5, 56)(2, 53, 7, 58, 17, 68, 22, 73, 29, 80, 36, 87, 40, 91, 47, 98, 49, 100, 45, 96, 38, 89, 31, 82, 27, 78, 20, 71, 11, 62, 18, 69, 8, 59)(4, 55, 10, 61, 16, 67, 6, 57, 15, 66, 24, 75, 28, 79, 35, 86, 42, 93, 46, 97, 50, 101, 43, 94, 39, 90, 32, 83, 25, 76, 21, 72, 12, 63)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 73)(15, 74)(16, 60)(17, 75)(18, 61)(19, 62)(20, 63)(21, 64)(22, 79)(23, 80)(24, 81)(25, 70)(26, 71)(27, 72)(28, 85)(29, 86)(30, 87)(31, 76)(32, 77)(33, 78)(34, 91)(35, 92)(36, 93)(37, 82)(38, 83)(39, 84)(40, 97)(41, 98)(42, 99)(43, 88)(44, 89)(45, 90)(46, 102)(47, 101)(48, 100)(49, 94)(50, 95)(51, 96)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1036
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1055 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2), (F * T1)^2, T2^2 * T1^-1 * T2 * T1^-5, T2^-2 * T1^-2 * T2^-5 * T1^-1, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 47, 98, 38, 89, 22, 73, 36, 87, 28, 79, 14, 65, 27, 78, 43, 94, 41, 92, 25, 76, 13, 64, 5, 56)(2, 53, 7, 58, 17, 68, 31, 82, 45, 96, 39, 90, 23, 74, 11, 62, 21, 72, 35, 86, 26, 77, 42, 93, 50, 101, 46, 97, 32, 83, 18, 69, 8, 59)(4, 55, 10, 61, 20, 71, 34, 85, 48, 99, 51, 102, 49, 100, 37, 88, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 44, 95, 40, 91, 24, 75, 12, 63)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 85)(27, 93)(28, 86)(29, 94)(30, 87)(31, 95)(32, 88)(33, 96)(34, 70)(35, 71)(36, 72)(37, 73)(38, 74)(39, 75)(40, 76)(41, 97)(42, 99)(43, 101)(44, 92)(45, 91)(46, 100)(47, 90)(48, 84)(49, 89)(50, 102)(51, 98)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1037
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1056 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^17, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 15, 66, 21, 72, 27, 78, 33, 84, 39, 90, 45, 96, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 11, 62, 5, 56)(2, 53, 7, 58, 13, 64, 19, 70, 25, 76, 31, 82, 37, 88, 43, 94, 49, 100, 50, 101, 44, 95, 38, 89, 32, 83, 26, 77, 20, 71, 14, 65, 8, 59)(4, 55, 6, 57, 12, 63, 18, 69, 24, 75, 30, 81, 36, 87, 42, 93, 48, 99, 51, 102, 46, 97, 40, 91, 34, 85, 28, 79, 22, 73, 16, 67, 10, 61)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 54)(7, 63)(8, 55)(9, 64)(10, 56)(11, 65)(12, 60)(13, 69)(14, 61)(15, 70)(16, 62)(17, 71)(18, 66)(19, 75)(20, 67)(21, 76)(22, 68)(23, 77)(24, 72)(25, 81)(26, 73)(27, 82)(28, 74)(29, 83)(30, 78)(31, 87)(32, 79)(33, 88)(34, 80)(35, 89)(36, 84)(37, 93)(38, 85)(39, 94)(40, 86)(41, 95)(42, 90)(43, 99)(44, 91)(45, 100)(46, 92)(47, 101)(48, 96)(49, 102)(50, 97)(51, 98)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1033
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1057 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^17 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 15, 66, 21, 72, 27, 78, 33, 84, 39, 90, 45, 96, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 11, 62, 5, 56)(2, 53, 7, 58, 13, 64, 19, 70, 25, 76, 31, 82, 37, 88, 43, 94, 49, 100, 50, 101, 44, 95, 38, 89, 32, 83, 26, 77, 20, 71, 14, 65, 8, 59)(4, 55, 10, 61, 16, 67, 22, 73, 28, 79, 34, 85, 40, 91, 46, 97, 51, 102, 48, 99, 42, 93, 36, 87, 30, 81, 24, 75, 18, 69, 12, 63, 6, 57)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 56)(7, 55)(8, 63)(9, 64)(10, 54)(11, 65)(12, 62)(13, 61)(14, 69)(15, 70)(16, 60)(17, 71)(18, 68)(19, 67)(20, 75)(21, 76)(22, 66)(23, 77)(24, 74)(25, 73)(26, 81)(27, 82)(28, 72)(29, 83)(30, 80)(31, 79)(32, 87)(33, 88)(34, 78)(35, 89)(36, 86)(37, 85)(38, 93)(39, 94)(40, 84)(41, 95)(42, 92)(43, 91)(44, 99)(45, 100)(46, 90)(47, 101)(48, 98)(49, 97)(50, 102)(51, 96)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1032
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1058 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^2 * T1^-1 * T2^2 * T1^-2 * T2, T2^-2 * T1 * T2^-1 * T1^2 * T2^-2, T2 * T1 * T2 * T1^8, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^5 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 28, 79, 14, 65, 27, 78, 41, 92, 49, 100, 51, 102, 46, 97, 35, 86, 22, 73, 33, 84, 25, 76, 13, 64, 5, 56)(2, 53, 7, 58, 17, 68, 31, 82, 40, 91, 26, 77, 39, 90, 44, 95, 50, 101, 47, 98, 36, 87, 23, 74, 11, 62, 21, 72, 32, 83, 18, 69, 8, 59)(4, 55, 10, 61, 20, 71, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 42, 93, 48, 99, 38, 89, 45, 96, 34, 85, 43, 94, 37, 88, 24, 75, 12, 63)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 89)(27, 90)(28, 91)(29, 92)(30, 70)(31, 93)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 97)(39, 96)(40, 99)(41, 95)(42, 100)(43, 84)(44, 85)(45, 86)(46, 87)(47, 88)(48, 102)(49, 101)(50, 94)(51, 98)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1035
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1059 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2^-1 * T1^-1 * T2^-4, T2 * T1^-1 * T2 * T1^-8, 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 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^2 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 33, 84, 22, 73, 36, 87, 45, 96, 51, 102, 49, 100, 41, 92, 28, 79, 14, 65, 27, 78, 25, 76, 13, 64, 5, 56)(2, 53, 7, 58, 17, 68, 31, 82, 23, 74, 11, 62, 21, 72, 35, 86, 44, 95, 50, 101, 47, 98, 40, 91, 26, 77, 39, 90, 32, 83, 18, 69, 8, 59)(4, 55, 10, 61, 20, 71, 34, 85, 43, 94, 37, 88, 46, 97, 38, 89, 48, 99, 42, 93, 30, 81, 16, 67, 6, 57, 15, 66, 29, 80, 24, 75, 12, 63)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 83)(26, 89)(27, 90)(28, 91)(29, 76)(30, 92)(31, 75)(32, 93)(33, 74)(34, 70)(35, 71)(36, 72)(37, 73)(38, 96)(39, 99)(40, 97)(41, 98)(42, 100)(43, 84)(44, 85)(45, 86)(46, 87)(47, 88)(48, 102)(49, 101)(50, 94)(51, 95)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1038
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1060 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2 * T1^3, T2^2 * T1^-1 * T2 * T1^-2 * T2^5, T2^-5 * T1^-1 * T2^-4 * T1^-2, T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-3 * T1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^3 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 9, 60, 19, 70, 31, 82, 43, 94, 38, 89, 26, 77, 14, 65, 22, 73, 34, 85, 46, 97, 49, 100, 37, 88, 25, 76, 13, 64, 5, 56)(2, 53, 7, 58, 17, 68, 29, 80, 41, 92, 51, 102, 47, 98, 35, 86, 23, 74, 11, 62, 21, 72, 33, 84, 45, 96, 42, 93, 30, 81, 18, 69, 8, 59)(4, 55, 10, 61, 20, 71, 32, 83, 44, 95, 40, 91, 28, 79, 16, 67, 6, 57, 15, 66, 27, 78, 39, 90, 50, 101, 48, 99, 36, 87, 24, 75, 12, 63)
	L = (1, 53)(2, 57)(3, 58)(4, 52)(5, 59)(6, 65)(7, 66)(8, 67)(9, 68)(10, 54)(11, 55)(12, 56)(13, 69)(14, 74)(15, 73)(16, 77)(17, 78)(18, 79)(19, 80)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 81)(26, 86)(27, 85)(28, 89)(29, 90)(30, 91)(31, 92)(32, 70)(33, 71)(34, 72)(35, 75)(36, 76)(37, 93)(38, 98)(39, 97)(40, 94)(41, 101)(42, 95)(43, 102)(44, 82)(45, 83)(46, 84)(47, 87)(48, 88)(49, 96)(50, 100)(51, 99)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1034
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1061 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1^3 * Y2 * Y1^4 * Y3^-1 * Y2^2 * Y3^-6, Y1^17, Y2^51, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 22, 73, 28, 79, 34, 85, 40, 91, 46, 97, 49, 100, 43, 94, 37, 88, 31, 82, 25, 76, 19, 70, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 23, 74, 29, 80, 35, 86, 41, 92, 47, 98, 51, 102, 45, 96, 39, 90, 33, 84, 27, 78, 21, 72, 13, 64, 18, 69, 10, 61)(5, 56, 8, 59, 16, 67, 9, 60, 17, 68, 24, 75, 30, 81, 36, 87, 42, 93, 48, 99, 50, 101, 44, 95, 38, 89, 32, 83, 26, 77, 20, 71, 12, 63)(103, 154, 105, 156, 111, 162, 116, 167, 125, 176, 132, 183, 136, 187, 143, 194, 150, 201, 151, 202, 147, 198, 140, 191, 133, 184, 129, 180, 122, 173, 113, 164, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 124, 175, 131, 182, 138, 189, 142, 193, 149, 200, 152, 203, 145, 196, 141, 192, 134, 185, 127, 178, 123, 174, 114, 165, 106, 157, 112, 163, 118, 169, 108, 159, 117, 168, 126, 177, 130, 181, 137, 188, 144, 195, 148, 199, 153, 204, 146, 197, 139, 190, 135, 186, 128, 179, 121, 172, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 118)(10, 120)(11, 121)(12, 122)(13, 123)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 127)(20, 128)(21, 129)(22, 116)(23, 117)(24, 119)(25, 133)(26, 134)(27, 135)(28, 124)(29, 125)(30, 126)(31, 139)(32, 140)(33, 141)(34, 130)(35, 131)(36, 132)(37, 145)(38, 146)(39, 147)(40, 136)(41, 137)(42, 138)(43, 151)(44, 152)(45, 153)(46, 142)(47, 143)(48, 144)(49, 148)(50, 150)(51, 149)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1092
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1, (R * Y3)^2, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y2^2 * Y1^-1 * Y2 * Y1^-5, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3^-15 * Y1^2, (Y2^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 42, 93, 34, 85, 19, 70, 31, 82, 40, 91, 25, 76, 32, 83, 46, 97, 37, 88, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 43, 94, 50, 101, 48, 99, 33, 84, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 45, 96, 36, 87, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 44, 95, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 41, 92, 47, 98, 51, 102, 49, 100, 38, 89, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 140, 191, 124, 175, 138, 189, 146, 197, 128, 179, 145, 196, 149, 200, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 141, 192, 125, 176, 113, 164, 123, 174, 137, 188, 144, 195, 152, 203, 153, 204, 148, 199, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 142, 193, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 150, 201, 151, 202, 139, 190, 147, 198, 130, 181, 116, 167, 129, 180, 143, 194, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 127)(33, 150)(34, 144)(35, 146)(36, 147)(37, 148)(38, 151)(39, 135)(40, 133)(41, 131)(42, 128)(43, 129)(44, 130)(45, 132)(46, 134)(47, 143)(48, 152)(49, 153)(50, 145)(51, 149)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1099
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1 * Y3, Y3 * Y2^-1 * Y1 * Y2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-4, Y3^3 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3^-11 * Y2^-2 * Y3 * Y2^-1, Y1^17, Y3^-2 * Y2^-3 * Y1^-2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 52, 2, 53, 6, 57, 14, 65, 26, 77, 42, 93, 40, 91, 25, 76, 32, 83, 34, 85, 19, 70, 31, 82, 46, 97, 37, 88, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 43, 94, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 33, 84, 47, 98, 51, 102, 48, 99, 36, 87, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 44, 95, 50, 101, 49, 100, 41, 92, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 45, 96, 38, 89, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 130, 181, 116, 167, 129, 180, 147, 198, 139, 190, 150, 201, 151, 202, 142, 193, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 148, 199, 153, 204, 152, 203, 144, 195, 141, 192, 125, 176, 113, 164, 123, 174, 137, 188, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 149, 200, 146, 197, 128, 179, 145, 196, 140, 191, 124, 175, 138, 189, 143, 194, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 127)(33, 132)(34, 134)(35, 143)(36, 150)(37, 148)(38, 147)(39, 145)(40, 144)(41, 151)(42, 128)(43, 129)(44, 130)(45, 131)(46, 133)(47, 135)(48, 153)(49, 152)(50, 146)(51, 149)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1097
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^17, 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 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 12, 63, 18, 69, 24, 75, 30, 81, 36, 87, 42, 93, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 11, 62, 4, 55)(3, 54, 7, 58, 13, 64, 19, 70, 25, 76, 31, 82, 37, 88, 43, 94, 48, 99, 51, 102, 46, 97, 40, 91, 34, 85, 28, 79, 22, 73, 16, 67, 10, 61)(5, 56, 8, 59, 14, 65, 20, 71, 26, 77, 32, 83, 38, 89, 44, 95, 49, 100, 50, 101, 45, 96, 39, 90, 33, 84, 27, 78, 21, 72, 15, 66, 9, 60)(103, 154, 105, 156, 111, 162, 106, 157, 112, 163, 117, 168, 113, 164, 118, 169, 123, 174, 119, 170, 124, 175, 129, 180, 125, 176, 130, 181, 135, 186, 131, 182, 136, 187, 141, 192, 137, 188, 142, 193, 147, 198, 143, 194, 148, 199, 152, 203, 149, 200, 153, 204, 151, 202, 144, 195, 150, 201, 146, 197, 138, 189, 145, 196, 140, 191, 132, 183, 139, 190, 134, 185, 126, 177, 133, 184, 128, 179, 120, 171, 127, 178, 122, 173, 114, 165, 121, 172, 116, 167, 108, 159, 115, 166, 110, 161, 104, 155, 109, 160, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 111)(6, 104)(7, 105)(8, 107)(9, 117)(10, 118)(11, 119)(12, 108)(13, 109)(14, 110)(15, 123)(16, 124)(17, 125)(18, 114)(19, 115)(20, 116)(21, 129)(22, 130)(23, 131)(24, 120)(25, 121)(26, 122)(27, 135)(28, 136)(29, 137)(30, 126)(31, 127)(32, 128)(33, 141)(34, 142)(35, 143)(36, 132)(37, 133)(38, 134)(39, 147)(40, 148)(41, 149)(42, 138)(43, 139)(44, 140)(45, 152)(46, 153)(47, 144)(48, 145)(49, 146)(50, 151)(51, 150)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1095
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^17, 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 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 12, 63, 18, 69, 24, 75, 30, 81, 36, 87, 42, 93, 46, 97, 40, 91, 34, 85, 28, 79, 22, 73, 16, 67, 10, 61, 4, 55)(3, 54, 7, 58, 13, 64, 19, 70, 25, 76, 31, 82, 37, 88, 43, 94, 48, 99, 50, 101, 45, 96, 39, 90, 33, 84, 27, 78, 21, 72, 15, 66, 9, 60)(5, 56, 8, 59, 14, 65, 20, 71, 26, 77, 32, 83, 38, 89, 44, 95, 49, 100, 51, 102, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 11, 62)(103, 154, 105, 156, 110, 161, 104, 155, 109, 160, 116, 167, 108, 159, 115, 166, 122, 173, 114, 165, 121, 172, 128, 179, 120, 171, 127, 178, 134, 185, 126, 177, 133, 184, 140, 191, 132, 183, 139, 190, 146, 197, 138, 189, 145, 196, 151, 202, 144, 195, 150, 201, 153, 204, 148, 199, 152, 203, 149, 200, 142, 193, 147, 198, 143, 194, 136, 187, 141, 192, 137, 188, 130, 181, 135, 186, 131, 182, 124, 175, 129, 180, 125, 176, 118, 169, 123, 174, 119, 170, 112, 163, 117, 168, 113, 164, 106, 157, 111, 162, 107, 158)
	L = (1, 106)(2, 103)(3, 111)(4, 112)(5, 113)(6, 104)(7, 105)(8, 107)(9, 117)(10, 118)(11, 119)(12, 108)(13, 109)(14, 110)(15, 123)(16, 124)(17, 125)(18, 114)(19, 115)(20, 116)(21, 129)(22, 130)(23, 131)(24, 120)(25, 121)(26, 122)(27, 135)(28, 136)(29, 137)(30, 126)(31, 127)(32, 128)(33, 141)(34, 142)(35, 143)(36, 132)(37, 133)(38, 134)(39, 147)(40, 148)(41, 149)(42, 138)(43, 139)(44, 140)(45, 152)(46, 144)(47, 153)(48, 145)(49, 146)(50, 150)(51, 151)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1098
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-2 * Y1^-4, Y2^2 * Y3 * Y2 * Y3 * Y1 * Y2^-3 * Y1, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-5, Y1^3 * Y2^-1 * Y1 * Y2^-2 * Y3^-3 * Y2^-3, Y3^-10 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * Y2^-2 * Y1^13, Y2^-1 * Y3^2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^3 * Y3 * Y2^-1 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 25, 76, 32, 83, 40, 91, 49, 100, 51, 102, 45, 96, 34, 85, 19, 70, 31, 82, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 24, 75, 13, 64, 18, 69, 30, 81, 39, 90, 48, 99, 47, 98, 44, 95, 33, 84, 41, 92, 36, 87, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 38, 89, 37, 88, 42, 93, 43, 94, 50, 101, 46, 97, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 145, 196, 142, 193, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 124, 175, 138, 189, 148, 199, 153, 204, 150, 201, 140, 191, 128, 179, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 146, 197, 144, 195, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 143, 194, 152, 203, 151, 202, 141, 192, 130, 181, 116, 167, 129, 180, 125, 176, 113, 164, 123, 174, 137, 188, 147, 198, 149, 200, 139, 190, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 136)(20, 137)(21, 138)(22, 133)(23, 131)(24, 129)(25, 128)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 127)(33, 146)(34, 147)(35, 148)(36, 143)(37, 140)(38, 130)(39, 132)(40, 134)(41, 135)(42, 139)(43, 144)(44, 149)(45, 153)(46, 152)(47, 150)(48, 141)(49, 142)(50, 145)(51, 151)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1096
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-8 * 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 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 19, 70, 31, 82, 40, 91, 49, 100, 51, 102, 45, 96, 36, 87, 25, 76, 32, 83, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 38, 89, 33, 84, 41, 92, 47, 98, 50, 101, 44, 95, 35, 86, 24, 75, 13, 64, 18, 69, 30, 81, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 20, 71, 9, 60, 17, 68, 29, 80, 39, 90, 48, 99, 43, 94, 46, 97, 37, 88, 42, 93, 34, 85, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 145, 196, 147, 198, 137, 188, 125, 176, 113, 164, 123, 174, 130, 181, 116, 167, 129, 180, 141, 192, 151, 202, 152, 203, 144, 195, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 143, 194, 148, 199, 138, 189, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 128, 179, 140, 191, 150, 201, 153, 204, 146, 197, 136, 187, 124, 175, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 142, 193, 149, 200, 139, 190, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 128)(20, 130)(21, 132)(22, 134)(23, 136)(24, 137)(25, 138)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 127)(33, 140)(34, 144)(35, 146)(36, 147)(37, 148)(38, 129)(39, 131)(40, 133)(41, 135)(42, 139)(43, 150)(44, 152)(45, 153)(46, 145)(47, 143)(48, 141)(49, 142)(50, 149)(51, 151)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1104
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2 * Y3^-1 * Y2 * Y3^-3 * Y2, Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y2^3 * Y3 * Y2^-6 * Y1^-3, Y2^-12 * Y3^-1 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 25, 76, 28, 79, 35, 86, 42, 93, 49, 100, 45, 96, 48, 99, 39, 90, 30, 81, 19, 70, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 24, 75, 13, 64, 18, 69, 27, 78, 34, 85, 41, 92, 44, 95, 51, 102, 47, 98, 38, 89, 29, 80, 32, 83, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 26, 77, 33, 84, 36, 87, 43, 94, 50, 101, 46, 97, 37, 88, 40, 91, 31, 82, 20, 71, 9, 60, 17, 68, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 131, 182, 139, 190, 147, 198, 146, 197, 138, 189, 130, 181, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 124, 175, 134, 185, 142, 193, 150, 201, 153, 204, 145, 196, 137, 188, 129, 180, 118, 169, 108, 159, 117, 168, 125, 176, 113, 164, 123, 174, 133, 184, 141, 192, 149, 200, 152, 203, 144, 195, 136, 187, 128, 179, 116, 167, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 132, 183, 140, 191, 148, 199, 151, 202, 143, 194, 135, 186, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 132)(20, 133)(21, 134)(22, 121)(23, 119)(24, 117)(25, 116)(26, 118)(27, 120)(28, 127)(29, 140)(30, 141)(31, 142)(32, 131)(33, 128)(34, 129)(35, 130)(36, 135)(37, 148)(38, 149)(39, 150)(40, 139)(41, 136)(42, 137)(43, 138)(44, 143)(45, 151)(46, 152)(47, 153)(48, 147)(49, 144)(50, 145)(51, 146)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1102
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (Y1^-1, Y2), (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y3 * Y1^-2 * Y2^3 * Y3, Y2^12 * 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 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 19, 70, 28, 79, 35, 86, 42, 93, 45, 96, 49, 100, 46, 97, 39, 90, 32, 83, 25, 76, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 26, 77, 29, 80, 36, 87, 43, 94, 50, 101, 48, 99, 41, 92, 38, 89, 31, 82, 24, 75, 13, 64, 18, 69, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 20, 71, 9, 60, 17, 68, 27, 78, 34, 85, 37, 88, 44, 95, 51, 102, 47, 98, 40, 91, 33, 84, 30, 81, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 131, 182, 139, 190, 147, 198, 150, 201, 142, 193, 134, 185, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 116, 167, 128, 179, 136, 187, 144, 195, 152, 203, 149, 200, 141, 192, 133, 184, 125, 176, 113, 164, 123, 174, 118, 169, 108, 159, 117, 168, 129, 180, 137, 188, 145, 196, 153, 204, 148, 199, 140, 191, 132, 183, 124, 175, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 130, 181, 138, 189, 146, 197, 151, 202, 143, 194, 135, 186, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 116)(20, 118)(21, 120)(22, 127)(23, 132)(24, 133)(25, 134)(26, 117)(27, 119)(28, 121)(29, 128)(30, 135)(31, 140)(32, 141)(33, 142)(34, 129)(35, 130)(36, 131)(37, 136)(38, 143)(39, 148)(40, 149)(41, 150)(42, 137)(43, 138)(44, 139)(45, 144)(46, 151)(47, 153)(48, 152)(49, 147)(50, 145)(51, 146)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1100
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^4 * Y3^-1 * Y2^2, Y1 * Y2 * Y1 * Y2^2 * Y3 * Y2^3, Y3^2 * Y2 * Y3 * Y2^2 * Y3 * Y1^-4, Y1^6 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-4 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 38, 89, 44, 95, 32, 83, 19, 70, 25, 76, 31, 82, 43, 94, 47, 98, 35, 86, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 39, 90, 50, 101, 49, 100, 37, 88, 24, 75, 13, 64, 18, 69, 30, 81, 42, 93, 46, 97, 34, 85, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 40, 91, 45, 96, 33, 84, 20, 71, 9, 60, 17, 68, 29, 80, 41, 92, 51, 102, 48, 99, 36, 87, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 134, 185, 139, 190, 125, 176, 113, 164, 123, 174, 135, 186, 146, 197, 151, 202, 138, 189, 124, 175, 136, 187, 147, 198, 140, 191, 152, 203, 150, 201, 137, 188, 148, 199, 142, 193, 128, 179, 141, 192, 153, 204, 149, 200, 144, 195, 130, 181, 116, 167, 129, 180, 143, 194, 145, 196, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 133, 184, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 134)(20, 135)(21, 136)(22, 137)(23, 138)(24, 139)(25, 121)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 127)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 140)(45, 142)(46, 144)(47, 145)(48, 153)(49, 152)(50, 141)(51, 143)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1091
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y2^-6 * Y1, Y3^-1 * Y1 * Y2 * Y1^5 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 52, 2, 53, 6, 57, 14, 65, 26, 77, 38, 89, 49, 100, 37, 88, 25, 76, 19, 70, 31, 82, 43, 94, 46, 97, 34, 85, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 39, 90, 48, 99, 36, 87, 24, 75, 13, 64, 18, 69, 30, 81, 42, 93, 51, 102, 45, 96, 33, 84, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 40, 91, 50, 101, 44, 95, 32, 83, 20, 71, 9, 60, 17, 68, 29, 80, 41, 92, 47, 98, 35, 86, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 145, 196, 144, 195, 130, 181, 116, 167, 129, 180, 143, 194, 148, 199, 153, 204, 142, 193, 128, 179, 141, 192, 149, 200, 136, 187, 147, 198, 152, 203, 140, 191, 150, 201, 137, 188, 124, 175, 135, 186, 146, 197, 151, 202, 138, 189, 125, 176, 113, 164, 123, 174, 134, 185, 139, 190, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 127)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 152)(45, 153)(46, 145)(47, 143)(48, 141)(49, 140)(50, 142)(51, 144)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1094
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), Y2^-2 * Y1 * Y3^-1 * Y2^-1, Y1^17, Y3^7 * Y2^-1 * Y3 * Y2^-2 * Y1^-7, (Y1 * Y3^-1)^17, 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 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 20, 71, 26, 77, 32, 83, 38, 89, 44, 95, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 21, 72, 27, 78, 33, 84, 39, 90, 45, 96, 50, 101, 49, 100, 43, 94, 37, 88, 31, 82, 25, 76, 19, 70, 13, 64, 10, 61)(5, 56, 8, 59, 9, 60, 16, 67, 22, 73, 28, 79, 34, 85, 40, 91, 46, 97, 51, 102, 48, 99, 42, 93, 36, 87, 30, 81, 24, 75, 18, 69, 12, 63)(103, 154, 105, 156, 111, 162, 108, 159, 117, 168, 124, 175, 122, 173, 129, 180, 136, 187, 134, 185, 141, 192, 148, 199, 146, 197, 152, 203, 150, 201, 143, 194, 145, 196, 138, 189, 131, 182, 133, 184, 126, 177, 119, 170, 121, 172, 114, 165, 106, 157, 112, 163, 110, 161, 104, 155, 109, 160, 118, 169, 116, 167, 123, 174, 130, 181, 128, 179, 135, 186, 142, 193, 140, 191, 147, 198, 153, 204, 149, 200, 151, 202, 144, 195, 137, 188, 139, 190, 132, 183, 125, 176, 127, 178, 120, 171, 113, 164, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 110)(10, 115)(11, 119)(12, 120)(13, 121)(14, 108)(15, 109)(16, 111)(17, 125)(18, 126)(19, 127)(20, 116)(21, 117)(22, 118)(23, 131)(24, 132)(25, 133)(26, 122)(27, 123)(28, 124)(29, 137)(30, 138)(31, 139)(32, 128)(33, 129)(34, 130)(35, 143)(36, 144)(37, 145)(38, 134)(39, 135)(40, 136)(41, 149)(42, 150)(43, 151)(44, 140)(45, 141)(46, 142)(47, 146)(48, 153)(49, 152)(50, 147)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1093
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, Y2^3 * Y1^2, Y1^17, Y1^17, Y3 * Y2 * Y3^6 * Y2^2 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 20, 71, 26, 77, 32, 83, 38, 89, 44, 95, 49, 100, 43, 94, 37, 88, 31, 82, 25, 76, 19, 70, 11, 62, 4, 55)(3, 54, 7, 58, 13, 64, 16, 67, 22, 73, 28, 79, 34, 85, 40, 91, 46, 97, 51, 102, 48, 99, 42, 93, 36, 87, 30, 81, 24, 75, 18, 69, 10, 61)(5, 56, 8, 59, 15, 66, 21, 72, 27, 78, 33, 84, 39, 90, 45, 96, 50, 101, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 9, 60, 12, 63)(103, 154, 105, 156, 111, 162, 113, 164, 120, 171, 125, 176, 127, 178, 132, 183, 137, 188, 139, 190, 144, 195, 149, 200, 151, 202, 153, 204, 147, 198, 140, 191, 142, 193, 135, 186, 128, 179, 130, 181, 123, 174, 116, 167, 118, 169, 110, 161, 104, 155, 109, 160, 114, 165, 106, 157, 112, 163, 119, 170, 121, 172, 126, 177, 131, 182, 133, 184, 138, 189, 143, 194, 145, 196, 150, 201, 152, 203, 146, 197, 148, 199, 141, 192, 134, 185, 136, 187, 129, 180, 122, 173, 124, 175, 117, 168, 108, 159, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 119)(10, 120)(11, 121)(12, 111)(13, 109)(14, 108)(15, 110)(16, 115)(17, 125)(18, 126)(19, 127)(20, 116)(21, 117)(22, 118)(23, 131)(24, 132)(25, 133)(26, 122)(27, 123)(28, 124)(29, 137)(30, 138)(31, 139)(32, 128)(33, 129)(34, 130)(35, 143)(36, 144)(37, 145)(38, 134)(39, 135)(40, 136)(41, 149)(42, 150)(43, 151)(44, 140)(45, 141)(46, 142)(47, 152)(48, 153)(49, 146)(50, 147)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1101
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1 * Y3, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y1^3 * Y3^-2 * Y2^-2, Y1^3 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y3^-1, Y2^5 * Y3 * Y2^4, Y1^2 * Y2 * Y1 * Y2 * Y1 * Y2^4 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 34, 85, 19, 70, 31, 82, 44, 95, 50, 101, 40, 91, 25, 76, 32, 83, 37, 88, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 42, 93, 47, 98, 33, 84, 45, 96, 49, 100, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 36, 87, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 43, 94, 51, 102, 41, 92, 46, 97, 48, 99, 38, 89, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 148, 199, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 147, 198, 150, 201, 139, 190, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 146, 197, 151, 202, 140, 191, 124, 175, 138, 189, 130, 181, 116, 167, 129, 180, 145, 196, 152, 203, 141, 192, 125, 176, 113, 164, 123, 174, 137, 188, 128, 179, 144, 195, 153, 204, 142, 193, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 149, 200, 143, 194, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 127)(33, 149)(34, 128)(35, 130)(36, 132)(37, 134)(38, 150)(39, 151)(40, 152)(41, 153)(42, 129)(43, 131)(44, 133)(45, 135)(46, 143)(47, 144)(48, 148)(49, 147)(50, 146)(51, 145)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1103
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y2 * Y3^-2 * Y2^2 * Y1^4, Y2^-1 * Y1^-1 * Y2^-8, Y2^-1 * Y3^-2 * Y2^-3 * Y3^-3 * Y2^-2, Y1^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-3, Y3^-16 * Y1, (Y2^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 40, 91, 25, 76, 32, 83, 44, 95, 49, 100, 34, 85, 19, 70, 31, 82, 37, 88, 22, 73, 11, 62, 4, 55)(3, 54, 7, 58, 15, 66, 27, 78, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 43, 94, 48, 99, 33, 84, 45, 96, 51, 102, 36, 87, 21, 72, 10, 61)(5, 56, 8, 59, 16, 67, 28, 79, 42, 93, 47, 98, 41, 92, 46, 97, 50, 101, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 38, 89, 23, 74, 12, 63)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 149, 200, 142, 193, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 150, 201, 144, 195, 128, 179, 141, 192, 125, 176, 113, 164, 123, 174, 137, 188, 151, 202, 145, 196, 130, 181, 116, 167, 129, 180, 140, 191, 124, 175, 138, 189, 152, 203, 146, 197, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 139, 190, 153, 204, 148, 199, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 147, 198, 143, 194, 127, 178, 115, 166, 107, 158)
	L = (1, 106)(2, 103)(3, 112)(4, 113)(5, 114)(6, 104)(7, 105)(8, 107)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 108)(15, 109)(16, 110)(17, 111)(18, 115)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 127)(33, 150)(34, 151)(35, 152)(36, 153)(37, 133)(38, 131)(39, 129)(40, 128)(41, 149)(42, 130)(43, 132)(44, 134)(45, 135)(46, 143)(47, 144)(48, 145)(49, 146)(50, 148)(51, 147)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1090
Graph:: bipartite
	v = 4 e = 102 f = 52
	degree seq :: [ 34^3, 102 ]

E24.1076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1 * Y2^-2, R * Y2 * R * Y3, (R * Y1)^2, Y2 * Y1^25, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 10, 61, 14, 65, 18, 69, 22, 73, 26, 77, 30, 81, 34, 85, 38, 89, 42, 93, 46, 97, 50, 101, 49, 100, 45, 96, 41, 92, 37, 88, 33, 84, 29, 80, 25, 76, 21, 72, 17, 68, 13, 64, 9, 60, 5, 56, 3, 54, 7, 58, 11, 62, 15, 66, 19, 70, 23, 74, 27, 78, 31, 82, 35, 86, 39, 90, 43, 94, 47, 98, 51, 102, 48, 99, 44, 95, 40, 91, 36, 87, 32, 83, 28, 79, 24, 75, 20, 71, 16, 67, 12, 63, 8, 59, 4, 55)(103, 154, 105, 156, 104, 155, 109, 160, 108, 159, 113, 164, 112, 163, 117, 168, 116, 167, 121, 172, 120, 171, 125, 176, 124, 175, 129, 180, 128, 179, 133, 184, 132, 183, 137, 188, 136, 187, 141, 192, 140, 191, 145, 196, 144, 195, 149, 200, 148, 199, 153, 204, 152, 203, 150, 201, 151, 202, 146, 197, 147, 198, 142, 193, 143, 194, 138, 189, 139, 190, 134, 185, 135, 186, 130, 181, 131, 182, 126, 177, 127, 178, 122, 173, 123, 174, 118, 169, 119, 170, 114, 165, 115, 166, 110, 161, 111, 162, 106, 157, 107, 158)
	L = (1, 105)(2, 109)(3, 104)(4, 107)(5, 103)(6, 113)(7, 108)(8, 111)(9, 106)(10, 117)(11, 112)(12, 115)(13, 110)(14, 121)(15, 116)(16, 119)(17, 114)(18, 125)(19, 120)(20, 123)(21, 118)(22, 129)(23, 124)(24, 127)(25, 122)(26, 133)(27, 128)(28, 131)(29, 126)(30, 137)(31, 132)(32, 135)(33, 130)(34, 141)(35, 136)(36, 139)(37, 134)(38, 145)(39, 140)(40, 143)(41, 138)(42, 149)(43, 144)(44, 147)(45, 142)(46, 153)(47, 148)(48, 151)(49, 146)(50, 150)(51, 152)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1087
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^4 * Y1, Y1^-11 * Y2^-1 * Y1^-2, Y1^6 * Y2^-1 * Y1^6 * Y2^-2, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 22, 73, 30, 81, 38, 89, 46, 97, 45, 96, 37, 88, 29, 80, 21, 72, 12, 63, 5, 56, 8, 59, 16, 67, 24, 75, 32, 83, 40, 91, 48, 99, 50, 101, 42, 93, 34, 85, 26, 77, 18, 69, 9, 60, 13, 64, 17, 68, 25, 76, 33, 84, 41, 92, 49, 100, 51, 102, 43, 94, 35, 86, 27, 78, 19, 70, 10, 61, 3, 54, 7, 58, 15, 66, 23, 74, 31, 82, 39, 90, 47, 98, 44, 95, 36, 87, 28, 79, 20, 71, 11, 62, 4, 55)(103, 154, 105, 156, 111, 162, 114, 165, 106, 157, 112, 163, 120, 171, 123, 174, 113, 164, 121, 172, 128, 179, 131, 182, 122, 173, 129, 180, 136, 187, 139, 190, 130, 181, 137, 188, 144, 195, 147, 198, 138, 189, 145, 196, 152, 203, 148, 199, 146, 197, 153, 204, 150, 201, 140, 191, 149, 200, 151, 202, 142, 193, 132, 183, 141, 192, 143, 194, 134, 185, 124, 175, 133, 184, 135, 186, 126, 177, 116, 167, 125, 176, 127, 178, 118, 169, 108, 159, 117, 168, 119, 170, 110, 161, 104, 155, 109, 160, 115, 166, 107, 158)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 115)(8, 104)(9, 114)(10, 120)(11, 121)(12, 106)(13, 107)(14, 125)(15, 119)(16, 108)(17, 110)(18, 123)(19, 128)(20, 129)(21, 113)(22, 133)(23, 127)(24, 116)(25, 118)(26, 131)(27, 136)(28, 137)(29, 122)(30, 141)(31, 135)(32, 124)(33, 126)(34, 139)(35, 144)(36, 145)(37, 130)(38, 149)(39, 143)(40, 132)(41, 134)(42, 147)(43, 152)(44, 153)(45, 138)(46, 146)(47, 151)(48, 140)(49, 142)(50, 148)(51, 150)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1088
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|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^-5 * Y1, Y1^5 * Y2 * Y1^5, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 24, 75, 34, 85, 42, 93, 32, 83, 22, 73, 12, 63, 5, 56, 8, 59, 16, 67, 26, 77, 36, 87, 44, 95, 49, 100, 43, 94, 33, 84, 23, 74, 13, 64, 18, 69, 28, 79, 38, 89, 46, 97, 50, 101, 51, 102, 47, 98, 39, 90, 29, 80, 19, 70, 9, 60, 17, 68, 27, 78, 37, 88, 45, 96, 48, 99, 40, 91, 30, 81, 20, 71, 10, 61, 3, 54, 7, 58, 15, 66, 25, 76, 35, 86, 41, 92, 31, 82, 21, 72, 11, 62, 4, 55)(103, 154, 105, 156, 111, 162, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 130, 181, 118, 169, 108, 159, 117, 168, 129, 180, 140, 191, 128, 179, 116, 167, 127, 178, 139, 190, 148, 199, 138, 189, 126, 177, 137, 188, 147, 198, 152, 203, 146, 197, 136, 187, 143, 194, 150, 201, 153, 204, 151, 202, 144, 195, 133, 184, 142, 193, 149, 200, 145, 196, 134, 185, 123, 174, 132, 183, 141, 192, 135, 186, 124, 175, 113, 164, 122, 173, 131, 182, 125, 176, 114, 165, 106, 157, 112, 163, 121, 172, 115, 166, 107, 158)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 120)(10, 121)(11, 122)(12, 106)(13, 107)(14, 127)(15, 129)(16, 108)(17, 130)(18, 110)(19, 115)(20, 131)(21, 132)(22, 113)(23, 114)(24, 137)(25, 139)(26, 116)(27, 140)(28, 118)(29, 125)(30, 141)(31, 142)(32, 123)(33, 124)(34, 143)(35, 147)(36, 126)(37, 148)(38, 128)(39, 135)(40, 149)(41, 150)(42, 133)(43, 134)(44, 136)(45, 152)(46, 138)(47, 145)(48, 153)(49, 144)(50, 146)(51, 151)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1084
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2), Y2^-5 * Y1^-1 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y1^6, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 41, 92, 48, 99, 50, 101, 44, 95, 33, 84, 25, 76, 32, 83, 43, 94, 46, 97, 38, 89, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 40, 91, 45, 96, 34, 85, 19, 70, 31, 82, 42, 93, 49, 100, 51, 102, 47, 98, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 146, 197, 141, 192, 125, 176, 113, 164, 123, 174, 137, 188, 147, 198, 152, 203, 149, 200, 140, 191, 124, 175, 138, 189, 128, 179, 142, 193, 150, 201, 153, 204, 148, 199, 139, 190, 130, 181, 116, 167, 129, 180, 143, 194, 151, 202, 145, 196, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 144, 195, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 127, 178, 115, 166, 107, 158)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 142)(27, 143)(28, 116)(29, 144)(30, 118)(31, 127)(32, 120)(33, 126)(34, 146)(35, 147)(36, 128)(37, 130)(38, 124)(39, 125)(40, 150)(41, 151)(42, 134)(43, 132)(44, 141)(45, 152)(46, 139)(47, 140)(48, 153)(49, 145)(50, 149)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1085
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y2 * Y1^5 * Y2, Y2^3 * Y1^-1 * Y2^5, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^3 * Y1^-4, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 40, 91, 25, 76, 32, 83, 44, 95, 51, 102, 47, 98, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 38, 89, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 42, 93, 49, 100, 41, 92, 33, 84, 45, 96, 48, 99, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 43, 94, 50, 101, 46, 97, 34, 85, 19, 70, 31, 82, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 147, 198, 146, 197, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 139, 190, 150, 201, 153, 204, 145, 196, 130, 181, 116, 167, 129, 180, 140, 191, 124, 175, 138, 189, 149, 200, 152, 203, 144, 195, 128, 179, 141, 192, 125, 176, 113, 164, 123, 174, 137, 188, 148, 199, 151, 202, 142, 193, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 143, 194, 127, 178, 115, 166, 107, 158)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 141)(27, 140)(28, 116)(29, 139)(30, 118)(31, 147)(32, 120)(33, 134)(34, 143)(35, 148)(36, 149)(37, 150)(38, 124)(39, 125)(40, 126)(41, 127)(42, 128)(43, 130)(44, 132)(45, 146)(46, 151)(47, 152)(48, 153)(49, 142)(50, 144)(51, 145)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1083
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1081 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2), Y1^3 * Y2^-1 * Y1 * Y2^-3 * Y1, Y2 * Y1 * Y2^3 * Y1 * Y2^3 * Y1^2, Y2^18 * Y1^3, Y2^29 * Y1^2, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 33, 84, 45, 96, 49, 100, 40, 91, 25, 76, 32, 83, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 42, 93, 46, 97, 48, 99, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 43, 94, 51, 102, 47, 98, 38, 89, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 34, 85, 19, 70, 31, 82, 44, 95, 50, 101, 41, 92, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154, 105, 156, 111, 162, 121, 172, 135, 186, 148, 199, 149, 200, 139, 190, 134, 185, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 133, 184, 147, 198, 150, 201, 140, 191, 124, 175, 138, 189, 132, 183, 118, 169, 108, 159, 117, 168, 131, 182, 146, 197, 151, 202, 141, 192, 125, 176, 113, 164, 123, 174, 137, 188, 130, 181, 116, 167, 129, 180, 145, 196, 152, 203, 142, 193, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 136, 187, 128, 179, 144, 195, 153, 204, 143, 194, 127, 178, 115, 166, 107, 158)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 144)(27, 145)(28, 116)(29, 146)(30, 118)(31, 147)(32, 120)(33, 148)(34, 128)(35, 130)(36, 132)(37, 134)(38, 124)(39, 125)(40, 126)(41, 127)(42, 153)(43, 152)(44, 151)(45, 150)(46, 149)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1089
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1082 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^3 * Y2 * Y1 * Y2 * Y1, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^6 * Y1^-1, Y2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-2 * Y1^4, (Y3^-1 * Y1^-1)^17, Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1^3 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 24, 75, 13, 64, 18, 69, 27, 78, 36, 87, 44, 95, 35, 86, 39, 90, 47, 98, 40, 91, 48, 99, 50, 101, 42, 93, 31, 82, 19, 70, 28, 79, 33, 84, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 26, 77, 34, 85, 25, 76, 29, 80, 37, 88, 46, 97, 51, 102, 45, 96, 49, 100, 41, 92, 30, 81, 38, 89, 43, 94, 32, 83, 20, 71, 9, 60, 17, 68, 22, 73, 11, 62, 4, 55)(103, 154, 105, 156, 111, 162, 121, 172, 132, 183, 142, 193, 148, 199, 138, 189, 128, 179, 116, 167, 125, 176, 113, 164, 123, 174, 134, 185, 144, 195, 151, 202, 141, 192, 131, 182, 120, 171, 110, 161, 104, 155, 109, 160, 119, 170, 130, 181, 140, 191, 150, 201, 153, 204, 146, 197, 136, 187, 126, 177, 114, 165, 106, 157, 112, 163, 122, 173, 133, 184, 143, 194, 149, 200, 139, 190, 129, 180, 118, 169, 108, 159, 117, 168, 124, 175, 135, 186, 145, 196, 152, 203, 147, 198, 137, 188, 127, 178, 115, 166, 107, 158)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 125)(15, 124)(16, 108)(17, 130)(18, 110)(19, 132)(20, 133)(21, 134)(22, 135)(23, 113)(24, 114)(25, 115)(26, 116)(27, 118)(28, 140)(29, 120)(30, 142)(31, 143)(32, 144)(33, 145)(34, 126)(35, 127)(36, 128)(37, 129)(38, 150)(39, 131)(40, 148)(41, 149)(42, 151)(43, 152)(44, 136)(45, 137)(46, 138)(47, 139)(48, 153)(49, 141)(50, 147)(51, 146)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1086
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1083 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2^-3, Y3^-15 * Y2^2, Y2^6 * Y3^-1 * Y2 * Y3^-8 * Y2, Y2^17, 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^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)(103, 154, 104, 155, 108, 159, 116, 167, 124, 175, 130, 181, 136, 187, 142, 193, 148, 199, 153, 204, 146, 197, 139, 190, 135, 186, 128, 179, 121, 172, 113, 164, 106, 157)(105, 156, 109, 160, 117, 168, 115, 166, 120, 171, 126, 177, 132, 183, 138, 189, 144, 195, 150, 201, 152, 203, 145, 196, 141, 192, 134, 185, 127, 178, 123, 174, 112, 163)(107, 158, 110, 161, 118, 169, 125, 176, 131, 182, 137, 188, 143, 194, 149, 200, 151, 202, 147, 198, 140, 191, 133, 184, 129, 180, 122, 173, 111, 162, 119, 170, 114, 165)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 115)(15, 114)(16, 108)(17, 113)(18, 110)(19, 127)(20, 128)(21, 129)(22, 120)(23, 116)(24, 118)(25, 133)(26, 134)(27, 135)(28, 126)(29, 124)(30, 125)(31, 139)(32, 140)(33, 141)(34, 132)(35, 130)(36, 131)(37, 145)(38, 146)(39, 147)(40, 138)(41, 136)(42, 137)(43, 151)(44, 152)(45, 153)(46, 144)(47, 142)(48, 143)(49, 148)(50, 149)(51, 150)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1080
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1084 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^3 * Y3 * Y2 * Y3^2 * Y2^2, Y3^-7 * Y2^-1 * Y3^-2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-4 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)(103, 154, 104, 155, 108, 159, 116, 167, 128, 179, 142, 193, 127, 178, 134, 185, 146, 197, 151, 202, 136, 187, 121, 172, 133, 184, 139, 190, 124, 175, 113, 164, 106, 157)(105, 156, 109, 160, 117, 168, 129, 180, 141, 192, 126, 177, 115, 166, 120, 171, 132, 183, 145, 196, 150, 201, 135, 186, 147, 198, 153, 204, 138, 189, 123, 174, 112, 163)(107, 158, 110, 161, 118, 169, 130, 181, 144, 195, 149, 200, 143, 194, 148, 199, 152, 203, 137, 188, 122, 173, 111, 162, 119, 170, 131, 182, 140, 191, 125, 176, 114, 165)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 141)(27, 140)(28, 116)(29, 139)(30, 118)(31, 147)(32, 120)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 124)(39, 125)(40, 126)(41, 127)(42, 128)(43, 130)(44, 132)(45, 143)(46, 134)(47, 142)(48, 144)(49, 145)(50, 146)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1078
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-3 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y2 * Y3^-8 * Y2, Y2^2 * Y3^-1 * Y2 * Y3^-2 * Y2^3 * Y3^-3 * Y2, Y2^-1 * Y3^-5 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^51 ]
Map::
	R = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)(103, 154, 104, 155, 108, 159, 116, 167, 128, 179, 127, 178, 134, 185, 142, 193, 151, 202, 153, 204, 147, 198, 136, 187, 121, 172, 133, 184, 124, 175, 113, 164, 106, 157)(105, 156, 109, 160, 117, 168, 129, 180, 126, 177, 115, 166, 120, 171, 132, 183, 141, 192, 150, 201, 149, 200, 146, 197, 135, 186, 143, 194, 138, 189, 123, 174, 112, 163)(107, 158, 110, 161, 118, 169, 130, 181, 140, 191, 139, 190, 144, 195, 145, 196, 152, 203, 148, 199, 137, 188, 122, 173, 111, 162, 119, 170, 131, 182, 125, 176, 114, 165)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 126)(27, 125)(28, 116)(29, 124)(30, 118)(31, 143)(32, 120)(33, 145)(34, 146)(35, 147)(36, 148)(37, 127)(38, 128)(39, 130)(40, 132)(41, 152)(42, 134)(43, 142)(44, 144)(45, 149)(46, 153)(47, 139)(48, 140)(49, 141)(50, 151)(51, 150)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1079
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^2 * Y2^-1 * Y3 * Y2^-4, Y2 * Y3 * Y2 * Y3^8, Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^2 * Y3 * Y2, (Y3^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)(103, 154, 104, 155, 108, 159, 116, 167, 128, 179, 121, 172, 133, 184, 142, 193, 151, 202, 153, 204, 147, 198, 138, 189, 127, 178, 134, 185, 124, 175, 113, 164, 106, 157)(105, 156, 109, 160, 117, 168, 129, 180, 140, 191, 135, 186, 143, 194, 149, 200, 152, 203, 146, 197, 137, 188, 126, 177, 115, 166, 120, 171, 132, 183, 123, 174, 112, 163)(107, 158, 110, 161, 118, 169, 130, 181, 122, 173, 111, 162, 119, 170, 131, 182, 141, 192, 150, 201, 145, 196, 148, 199, 139, 190, 144, 195, 136, 187, 125, 176, 114, 165)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 128)(21, 130)(22, 132)(23, 113)(24, 114)(25, 115)(26, 140)(27, 141)(28, 116)(29, 142)(30, 118)(31, 143)(32, 120)(33, 145)(34, 124)(35, 125)(36, 126)(37, 127)(38, 150)(39, 151)(40, 149)(41, 148)(42, 134)(43, 147)(44, 136)(45, 137)(46, 138)(47, 139)(48, 153)(49, 152)(50, 144)(51, 146)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1082
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1087 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3^3 * Y2^-2, Y2^-17, Y2^-17, Y2^17, (Y3^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)(103, 154, 104, 155, 108, 159, 116, 167, 122, 173, 128, 179, 134, 185, 140, 191, 146, 197, 149, 200, 143, 194, 137, 188, 131, 182, 125, 176, 119, 170, 113, 164, 106, 157)(105, 156, 109, 160, 117, 168, 123, 174, 129, 180, 135, 186, 141, 192, 147, 198, 152, 203, 151, 202, 145, 196, 139, 190, 133, 184, 127, 178, 121, 172, 115, 166, 112, 163)(107, 158, 110, 161, 111, 162, 118, 169, 124, 175, 130, 181, 136, 187, 142, 193, 148, 199, 153, 204, 150, 201, 144, 195, 138, 189, 132, 183, 126, 177, 120, 171, 114, 165)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 118)(8, 104)(9, 108)(10, 110)(11, 115)(12, 106)(13, 107)(14, 123)(15, 124)(16, 116)(17, 121)(18, 113)(19, 114)(20, 129)(21, 130)(22, 122)(23, 127)(24, 119)(25, 120)(26, 135)(27, 136)(28, 128)(29, 133)(30, 125)(31, 126)(32, 141)(33, 142)(34, 134)(35, 139)(36, 131)(37, 132)(38, 147)(39, 148)(40, 140)(41, 145)(42, 137)(43, 138)(44, 152)(45, 153)(46, 146)(47, 151)(48, 143)(49, 144)(50, 150)(51, 149)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1076
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1088 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|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, Y3^12 * Y2, (Y3^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)(103, 154, 104, 155, 108, 159, 116, 167, 121, 172, 130, 181, 137, 188, 144, 195, 147, 198, 151, 202, 148, 199, 141, 192, 134, 185, 127, 178, 124, 175, 113, 164, 106, 157)(105, 156, 109, 160, 117, 168, 128, 179, 131, 182, 138, 189, 145, 196, 152, 203, 150, 201, 143, 194, 140, 191, 133, 184, 126, 177, 115, 166, 120, 171, 123, 174, 112, 163)(107, 158, 110, 161, 118, 169, 122, 173, 111, 162, 119, 170, 129, 180, 136, 187, 139, 190, 146, 197, 153, 204, 149, 200, 142, 193, 135, 186, 132, 183, 125, 176, 114, 165)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 128)(15, 129)(16, 108)(17, 130)(18, 110)(19, 131)(20, 116)(21, 118)(22, 120)(23, 113)(24, 114)(25, 115)(26, 136)(27, 137)(28, 138)(29, 139)(30, 124)(31, 125)(32, 126)(33, 127)(34, 144)(35, 145)(36, 146)(37, 147)(38, 132)(39, 133)(40, 134)(41, 135)(42, 152)(43, 153)(44, 151)(45, 150)(46, 140)(47, 141)(48, 142)(49, 143)(50, 149)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1077
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^3 * Y3 * Y2 * Y3^2, Y3^3 * Y2^-1 * Y3^-6 * Y2^-3, Y3^-12 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)(103, 154, 104, 155, 108, 159, 116, 167, 127, 178, 130, 181, 137, 188, 144, 195, 151, 202, 147, 198, 150, 201, 141, 192, 132, 183, 121, 172, 124, 175, 113, 164, 106, 157)(105, 156, 109, 160, 117, 168, 126, 177, 115, 166, 120, 171, 129, 180, 136, 187, 143, 194, 146, 197, 153, 204, 149, 200, 140, 191, 131, 182, 134, 185, 123, 174, 112, 163)(107, 158, 110, 161, 118, 169, 128, 179, 135, 186, 138, 189, 145, 196, 152, 203, 148, 199, 139, 190, 142, 193, 133, 184, 122, 173, 111, 162, 119, 170, 125, 176, 114, 165)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 126)(15, 125)(16, 108)(17, 124)(18, 110)(19, 131)(20, 132)(21, 133)(22, 134)(23, 113)(24, 114)(25, 115)(26, 116)(27, 118)(28, 120)(29, 139)(30, 140)(31, 141)(32, 142)(33, 127)(34, 128)(35, 129)(36, 130)(37, 147)(38, 148)(39, 149)(40, 150)(41, 135)(42, 136)(43, 137)(44, 138)(45, 146)(46, 151)(47, 152)(48, 153)(49, 143)(50, 144)(51, 145)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1081
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-3 * Y3, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-5 * Y3^-1, Y1^6 * Y3 * Y1^2 * Y3^2 * Y1^4 * Y3^2, (Y3 * Y2^-1)^17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 22, 73, 28, 79, 34, 85, 40, 91, 46, 97, 51, 102, 45, 96, 39, 90, 33, 84, 27, 78, 21, 72, 13, 64, 18, 69, 10, 61, 3, 54, 7, 58, 15, 66, 23, 74, 29, 80, 35, 86, 41, 92, 47, 98, 50, 101, 44, 95, 38, 89, 32, 83, 26, 77, 20, 71, 12, 63, 5, 56, 8, 59, 16, 67, 9, 60, 17, 68, 24, 75, 30, 81, 36, 87, 42, 93, 48, 99, 49, 100, 43, 94, 37, 88, 31, 82, 25, 76, 19, 70, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 116)(10, 118)(11, 120)(12, 106)(13, 107)(14, 125)(15, 126)(16, 108)(17, 124)(18, 110)(19, 115)(20, 113)(21, 114)(22, 131)(23, 132)(24, 130)(25, 123)(26, 121)(27, 122)(28, 137)(29, 138)(30, 136)(31, 129)(32, 127)(33, 128)(34, 143)(35, 144)(36, 142)(37, 135)(38, 133)(39, 134)(40, 149)(41, 150)(42, 148)(43, 141)(44, 139)(45, 140)(46, 152)(47, 151)(48, 153)(49, 147)(50, 145)(51, 146)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1075
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1091 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^-2 * Y3^2 * Y1^-1, Y1^5 * Y3^-1 * Y1^4, Y1^3 * Y3 * Y1^2 * Y3^4 * Y1, (Y3 * Y2^-1)^17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 42, 93, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 43, 94, 51, 102, 41, 92, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 45, 96, 50, 101, 40, 91, 25, 76, 32, 83, 34, 85, 19, 70, 31, 82, 46, 97, 49, 100, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 33, 84, 47, 98, 48, 99, 38, 89, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 44, 95, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 145)(27, 147)(28, 116)(29, 148)(30, 118)(31, 149)(32, 120)(33, 130)(34, 132)(35, 134)(36, 143)(37, 144)(38, 124)(39, 125)(40, 126)(41, 127)(42, 153)(43, 152)(44, 128)(45, 151)(46, 150)(47, 146)(48, 139)(49, 140)(50, 141)(51, 142)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1070
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1092 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^5 * Y1^2, Y1^-2 * Y3^-1 * Y1^-7, (Y3 * Y2^-1)^17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 42, 93, 38, 89, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 44, 95, 48, 99, 33, 84, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 45, 96, 49, 100, 34, 85, 19, 70, 31, 82, 40, 91, 25, 76, 32, 83, 46, 97, 50, 101, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 41, 92, 47, 98, 51, 102, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 43, 94, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 145)(27, 143)(28, 116)(29, 142)(30, 118)(31, 141)(32, 120)(33, 140)(34, 150)(35, 151)(36, 152)(37, 153)(38, 124)(39, 125)(40, 126)(41, 127)(42, 139)(43, 149)(44, 128)(45, 130)(46, 132)(47, 134)(48, 144)(49, 146)(50, 147)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1061
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1093 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-4 * Y1^-1, Y1^-1 * Y3 * Y1^-8 * Y3, (Y3 * Y2^-1)^17, Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^2 * Y1^-1 * Y3 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 38, 89, 45, 96, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 25, 76, 32, 83, 42, 93, 49, 100, 50, 101, 43, 94, 33, 84, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 40, 91, 46, 97, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 39, 90, 48, 99, 51, 102, 44, 95, 34, 85, 19, 70, 31, 82, 24, 75, 13, 64, 18, 69, 30, 81, 41, 92, 47, 98, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 141)(27, 127)(28, 116)(29, 126)(30, 118)(31, 125)(32, 120)(33, 124)(34, 145)(35, 146)(36, 147)(37, 148)(38, 150)(39, 134)(40, 128)(41, 130)(42, 132)(43, 139)(44, 152)(45, 153)(46, 140)(47, 142)(48, 144)(49, 143)(50, 149)(51, 151)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1072
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1^2 * Y3^-2, Y1^4 * Y3 * Y1 * Y3 * Y1^4, (Y3 * Y2^-1)^17, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^5 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 38, 89, 46, 97, 36, 87, 24, 75, 13, 64, 18, 69, 30, 81, 19, 70, 31, 82, 42, 93, 49, 100, 50, 101, 43, 94, 33, 84, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 39, 90, 45, 96, 35, 86, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 40, 91, 48, 99, 51, 102, 47, 98, 37, 88, 25, 76, 32, 83, 20, 71, 9, 60, 17, 68, 29, 80, 41, 92, 44, 95, 34, 85, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 130)(20, 132)(21, 134)(22, 135)(23, 113)(24, 114)(25, 115)(26, 141)(27, 143)(28, 116)(29, 144)(30, 118)(31, 142)(32, 120)(33, 127)(34, 145)(35, 124)(36, 125)(37, 126)(38, 147)(39, 146)(40, 128)(41, 151)(42, 150)(43, 139)(44, 152)(45, 136)(46, 137)(47, 138)(48, 140)(49, 153)(50, 149)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1071
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 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, Y3^17, Y3^17, Y3^5 * Y1^-1 * Y3 * Y1^-1 * Y3^8 * Y1^-1 * Y3, (Y3 * Y2^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 13, 64, 15, 66, 20, 71, 25, 76, 27, 78, 32, 83, 37, 88, 39, 90, 44, 95, 49, 100, 51, 102, 47, 98, 40, 91, 42, 93, 35, 86, 28, 79, 30, 81, 23, 74, 16, 67, 18, 69, 10, 61, 3, 54, 7, 58, 12, 63, 5, 56, 8, 59, 14, 65, 19, 70, 21, 72, 26, 77, 31, 82, 33, 84, 38, 89, 43, 94, 45, 96, 50, 101, 46, 97, 48, 99, 41, 92, 34, 85, 36, 87, 29, 80, 22, 73, 24, 75, 17, 68, 9, 60, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 114)(7, 113)(8, 104)(9, 118)(10, 119)(11, 120)(12, 106)(13, 107)(14, 108)(15, 110)(16, 124)(17, 125)(18, 126)(19, 115)(20, 116)(21, 117)(22, 130)(23, 131)(24, 132)(25, 121)(26, 122)(27, 123)(28, 136)(29, 137)(30, 138)(31, 127)(32, 128)(33, 129)(34, 142)(35, 143)(36, 144)(37, 133)(38, 134)(39, 135)(40, 148)(41, 149)(42, 150)(43, 139)(44, 140)(45, 141)(46, 151)(47, 152)(48, 153)(49, 145)(50, 146)(51, 147)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1064
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1096 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^-17, Y3^34, (Y3 * Y2^-1)^17, Y3^-51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 9, 60, 15, 66, 20, 71, 22, 73, 27, 78, 32, 83, 34, 85, 39, 90, 44, 95, 46, 97, 51, 102, 48, 99, 43, 94, 41, 92, 36, 87, 31, 82, 29, 80, 24, 75, 19, 70, 17, 68, 12, 63, 5, 56, 8, 59, 10, 61, 3, 54, 7, 58, 14, 65, 16, 67, 21, 72, 26, 77, 28, 79, 33, 84, 38, 89, 40, 91, 45, 96, 50, 101, 49, 100, 47, 98, 42, 93, 37, 88, 35, 86, 30, 81, 25, 76, 23, 74, 18, 69, 13, 64, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 116)(7, 117)(8, 104)(9, 118)(10, 108)(11, 110)(12, 106)(13, 107)(14, 122)(15, 123)(16, 124)(17, 113)(18, 114)(19, 115)(20, 128)(21, 129)(22, 130)(23, 119)(24, 120)(25, 121)(26, 134)(27, 135)(28, 136)(29, 125)(30, 126)(31, 127)(32, 140)(33, 141)(34, 142)(35, 131)(36, 132)(37, 133)(38, 146)(39, 147)(40, 148)(41, 137)(42, 138)(43, 139)(44, 152)(45, 153)(46, 151)(47, 143)(48, 144)(49, 145)(50, 150)(51, 149)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1066
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-3 * Y1, Y1^5 * Y3 * Y1^7, (Y3 * Y2^-1)^17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 34, 85, 42, 93, 47, 98, 39, 90, 31, 82, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 19, 70, 29, 80, 37, 88, 45, 96, 51, 102, 48, 99, 40, 91, 32, 83, 24, 75, 13, 64, 18, 69, 20, 71, 9, 60, 17, 68, 28, 79, 36, 87, 44, 95, 50, 101, 49, 100, 41, 92, 33, 84, 25, 76, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 35, 86, 43, 94, 46, 97, 38, 89, 30, 81, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 130)(16, 108)(17, 131)(18, 110)(19, 116)(20, 118)(21, 120)(22, 127)(23, 113)(24, 114)(25, 115)(26, 137)(27, 138)(28, 139)(29, 128)(30, 135)(31, 124)(32, 125)(33, 126)(34, 145)(35, 146)(36, 147)(37, 136)(38, 143)(39, 132)(40, 133)(41, 134)(42, 148)(43, 152)(44, 153)(45, 144)(46, 151)(47, 140)(48, 141)(49, 142)(50, 150)(51, 149)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1063
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 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^-12 * Y3, Y3^2 * Y1^-1 * Y3 * Y1^-3 * Y3^2 * Y1^-5, (Y3 * Y2^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 34, 85, 42, 93, 48, 99, 40, 91, 32, 83, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 25, 76, 29, 80, 37, 88, 45, 96, 51, 102, 47, 98, 39, 90, 31, 82, 20, 71, 9, 60, 17, 68, 24, 75, 13, 64, 18, 69, 28, 79, 36, 87, 44, 95, 50, 101, 46, 97, 38, 89, 30, 81, 19, 70, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 27, 78, 35, 86, 43, 94, 49, 100, 41, 92, 33, 84, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 127)(15, 126)(16, 108)(17, 125)(18, 110)(19, 124)(20, 132)(21, 133)(22, 134)(23, 113)(24, 114)(25, 115)(26, 131)(27, 116)(28, 118)(29, 120)(30, 135)(31, 140)(32, 141)(33, 142)(34, 139)(35, 128)(36, 129)(37, 130)(38, 143)(39, 148)(40, 149)(41, 150)(42, 147)(43, 136)(44, 137)(45, 138)(46, 151)(47, 152)(48, 153)(49, 144)(50, 145)(51, 146)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1065
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-5 * Y3^-1, Y3^6 * Y1^-1 * Y3 * Y1^-2, (Y3 * Y2^-1)^17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 40, 91, 25, 76, 32, 83, 44, 95, 33, 84, 45, 96, 48, 99, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 43, 94, 50, 101, 51, 102, 47, 98, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 38, 89, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 42, 93, 49, 100, 41, 92, 46, 97, 34, 85, 19, 70, 31, 82, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 141)(27, 140)(28, 116)(29, 139)(30, 118)(31, 147)(32, 120)(33, 145)(34, 146)(35, 148)(36, 149)(37, 150)(38, 124)(39, 125)(40, 126)(41, 127)(42, 128)(43, 130)(44, 132)(45, 152)(46, 134)(47, 143)(48, 153)(49, 142)(50, 144)(51, 151)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1062
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^2 * Y1^-4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-6 * Y1^-1, (Y3 * Y2^-1)^17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 26, 77, 34, 85, 19, 70, 31, 82, 44, 95, 41, 92, 46, 97, 49, 100, 38, 89, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 28, 79, 35, 86, 20, 71, 9, 60, 17, 68, 29, 80, 43, 94, 50, 101, 51, 102, 47, 98, 39, 90, 24, 75, 13, 64, 18, 69, 30, 81, 36, 87, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 27, 78, 42, 93, 48, 99, 33, 84, 45, 96, 40, 91, 25, 76, 32, 83, 37, 88, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 129)(15, 131)(16, 108)(17, 133)(18, 110)(19, 135)(20, 136)(21, 137)(22, 138)(23, 113)(24, 114)(25, 115)(26, 144)(27, 145)(28, 116)(29, 146)(30, 118)(31, 147)(32, 120)(33, 149)(34, 150)(35, 128)(36, 130)(37, 132)(38, 124)(39, 125)(40, 126)(41, 127)(42, 152)(43, 143)(44, 142)(45, 141)(46, 134)(47, 140)(48, 153)(49, 139)(50, 148)(51, 151)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1069
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 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, Y3^17, (Y3 * Y2^-1)^17 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 5, 56, 8, 59, 12, 63, 11, 62, 14, 65, 18, 69, 17, 68, 20, 71, 24, 75, 23, 74, 26, 77, 30, 81, 29, 80, 32, 83, 36, 87, 35, 86, 38, 89, 42, 93, 41, 92, 44, 95, 48, 99, 47, 98, 50, 101, 51, 102, 45, 96, 49, 100, 46, 97, 39, 90, 43, 94, 40, 91, 33, 84, 37, 88, 34, 85, 27, 78, 31, 82, 28, 79, 21, 72, 25, 76, 22, 73, 15, 66, 19, 70, 16, 67, 9, 60, 13, 64, 10, 61, 3, 54, 7, 58, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 106)(7, 115)(8, 104)(9, 117)(10, 118)(11, 107)(12, 108)(13, 121)(14, 110)(15, 123)(16, 124)(17, 113)(18, 114)(19, 127)(20, 116)(21, 129)(22, 130)(23, 119)(24, 120)(25, 133)(26, 122)(27, 135)(28, 136)(29, 125)(30, 126)(31, 139)(32, 128)(33, 141)(34, 142)(35, 131)(36, 132)(37, 145)(38, 134)(39, 147)(40, 148)(41, 137)(42, 138)(43, 151)(44, 140)(45, 149)(46, 153)(47, 143)(48, 144)(49, 152)(50, 146)(51, 150)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1073
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-1 * Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^17, (Y3 * Y2^-1)^17, (Y3^-1 * Y1^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 3, 54, 7, 58, 12, 63, 9, 60, 13, 64, 18, 69, 15, 66, 19, 70, 24, 75, 21, 72, 25, 76, 30, 81, 27, 78, 31, 82, 36, 87, 33, 84, 37, 88, 42, 93, 39, 90, 43, 94, 48, 99, 45, 96, 49, 100, 51, 102, 47, 98, 50, 101, 46, 97, 41, 92, 44, 95, 40, 91, 35, 86, 38, 89, 34, 85, 29, 80, 32, 83, 28, 79, 23, 74, 26, 77, 22, 73, 17, 68, 20, 71, 16, 67, 11, 62, 14, 65, 10, 61, 5, 56, 8, 59, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 108)(5, 103)(6, 114)(7, 115)(8, 104)(9, 117)(10, 106)(11, 107)(12, 120)(13, 121)(14, 110)(15, 123)(16, 112)(17, 113)(18, 126)(19, 127)(20, 116)(21, 129)(22, 118)(23, 119)(24, 132)(25, 133)(26, 122)(27, 135)(28, 124)(29, 125)(30, 138)(31, 139)(32, 128)(33, 141)(34, 130)(35, 131)(36, 144)(37, 145)(38, 134)(39, 147)(40, 136)(41, 137)(42, 150)(43, 151)(44, 140)(45, 149)(46, 142)(47, 143)(48, 153)(49, 152)(50, 146)(51, 148)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1068
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|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, Y3^2 * Y1^-1 * Y3 * Y1^-2 * Y3^5, Y3^-5 * Y1^-1 * Y3^-4 * Y1^-2, Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-3 * Y1, (Y3 * Y2^-1)^17, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 26, 77, 35, 86, 24, 75, 13, 64, 18, 69, 28, 79, 38, 89, 47, 98, 36, 87, 25, 76, 30, 81, 40, 91, 43, 94, 51, 102, 48, 99, 37, 88, 42, 93, 44, 95, 31, 82, 41, 92, 50, 101, 49, 100, 45, 96, 32, 83, 19, 70, 29, 80, 39, 90, 46, 97, 33, 84, 20, 71, 9, 60, 17, 68, 27, 78, 34, 85, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 124)(15, 129)(16, 108)(17, 131)(18, 110)(19, 133)(20, 134)(21, 135)(22, 136)(23, 113)(24, 114)(25, 115)(26, 116)(27, 141)(28, 118)(29, 143)(30, 120)(31, 145)(32, 146)(33, 147)(34, 148)(35, 125)(36, 126)(37, 127)(38, 128)(39, 152)(40, 130)(41, 153)(42, 132)(43, 140)(44, 142)(45, 144)(46, 151)(47, 137)(48, 138)(49, 139)(50, 150)(51, 149)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1074
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 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^-2 * Y3^-2 * Y1, Y1 * Y3^3 * Y1^2 * Y3^5, Y3^3 * Y1^-1 * Y3 * Y1^-1 * Y3^5 * Y1^-1, (Y3 * Y2^-1)^17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 14, 65, 21, 72, 10, 61, 3, 54, 7, 58, 15, 66, 26, 77, 33, 84, 20, 71, 9, 60, 17, 68, 27, 78, 38, 89, 45, 96, 32, 83, 19, 70, 29, 80, 39, 90, 49, 100, 51, 102, 44, 95, 31, 82, 41, 92, 48, 99, 37, 88, 42, 93, 50, 101, 43, 94, 47, 98, 36, 87, 25, 76, 30, 81, 40, 91, 46, 97, 35, 86, 24, 75, 13, 64, 18, 69, 28, 79, 34, 85, 23, 74, 12, 63, 5, 56, 8, 59, 16, 67, 22, 73, 11, 62, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 111)(4, 112)(5, 103)(6, 117)(7, 119)(8, 104)(9, 121)(10, 122)(11, 123)(12, 106)(13, 107)(14, 128)(15, 129)(16, 108)(17, 131)(18, 110)(19, 133)(20, 134)(21, 135)(22, 116)(23, 113)(24, 114)(25, 115)(26, 140)(27, 141)(28, 118)(29, 143)(30, 120)(31, 145)(32, 146)(33, 147)(34, 124)(35, 125)(36, 126)(37, 127)(38, 151)(39, 150)(40, 130)(41, 149)(42, 132)(43, 148)(44, 152)(45, 153)(46, 136)(47, 137)(48, 138)(49, 139)(50, 142)(51, 144)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 34, 102 ), ( 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102, 34, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1067
Graph:: bipartite
	v = 52 e = 102 f = 4
	degree seq :: [ 2^51, 102 ]

E24.1105 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y1^6 * Y2 * Y1^-7 * Y3, Y1^-11 * Y2 * Y1^2 * Y3 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 65, 13, 73, 21, 81, 29, 89, 37, 97, 45, 102, 50, 94, 42, 86, 34, 78, 26, 70, 18, 62, 10, 68, 16, 76, 24, 84, 32, 92, 40, 100, 48, 104, 52, 96, 44, 88, 36, 80, 28, 72, 20, 64, 12, 57, 5, 53)(3, 61, 9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 99, 47, 91, 39, 83, 31, 75, 23, 67, 15, 60, 8, 56, 4, 63, 11, 71, 19, 79, 27, 87, 35, 95, 43, 103, 51, 98, 46, 90, 38, 82, 30, 74, 22, 66, 14, 59, 7, 55)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 22)(15, 24)(19, 26)(20, 25)(21, 30)(23, 32)(27, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 41)(37, 46)(39, 48)(43, 50)(44, 49)(45, 51)(47, 52)(53, 56)(54, 60)(55, 62)(57, 63)(58, 67)(59, 68)(61, 70)(64, 71)(65, 75)(66, 76)(69, 78)(72, 79)(73, 83)(74, 84)(77, 86)(80, 87)(81, 91)(82, 92)(85, 94)(88, 95)(89, 99)(90, 100)(93, 102)(96, 103)(97, 101)(98, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1111
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1106 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2, Y1^4 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-2 * Y2, Y1^26, 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 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 78, 26, 89, 37, 97, 45, 102, 50, 94, 42, 86, 34, 72, 20, 62, 10, 69, 17, 81, 29, 75, 23, 64, 12, 70, 18, 82, 30, 91, 39, 99, 47, 104, 52, 96, 44, 88, 36, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 85, 33, 93, 41, 101, 49, 98, 46, 90, 38, 80, 28, 68, 16, 60, 8, 56, 4, 63, 11, 74, 22, 83, 31, 73, 21, 87, 35, 95, 43, 103, 51, 100, 48, 92, 40, 84, 32, 76, 24, 79, 27, 67, 15, 59, 7, 55)
	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, 29)(24, 26)(25, 33)(28, 39)(32, 37)(34, 43)(36, 41)(38, 47)(40, 45)(42, 51)(44, 49)(46, 52)(48, 50)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 80)(67, 81)(70, 84)(71, 86)(73, 88)(75, 79)(77, 83)(78, 90)(82, 92)(85, 94)(87, 96)(89, 98)(91, 100)(93, 102)(95, 104)(97, 101)(99, 103)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1114
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1107 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y1^2 * Y2)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-5 * Y2 * Y1 * Y3 * Y1^-3, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 78, 26, 90, 38, 97, 45, 85, 33, 72, 20, 62, 10, 69, 17, 81, 29, 93, 41, 103, 51, 99, 47, 87, 35, 75, 23, 64, 12, 70, 18, 82, 30, 94, 42, 101, 49, 89, 37, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 84, 32, 96, 44, 92, 40, 80, 28, 68, 16, 60, 8, 56, 4, 63, 11, 74, 22, 86, 34, 98, 46, 104, 52, 95, 43, 83, 31, 73, 21, 76, 24, 88, 36, 100, 48, 102, 50, 91, 39, 79, 27, 67, 15, 59, 7, 55)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 24)(22, 35)(25, 32)(26, 39)(28, 42)(29, 43)(33, 36)(34, 47)(37, 44)(38, 50)(40, 49)(41, 52)(45, 48)(46, 51)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 80)(67, 81)(70, 73)(71, 85)(75, 88)(77, 86)(78, 92)(79, 93)(82, 83)(84, 97)(87, 100)(89, 98)(90, 96)(91, 103)(94, 95)(99, 102)(101, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1112
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1108 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y3 * Y1)^2, Y1^3 * Y3 * Y1^-4 * Y2, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-3 * Y3, Y1^2 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2, (Y2 * Y1 * Y3)^13 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 78, 26, 86, 34, 72, 20, 62, 10, 69, 17, 81, 29, 95, 43, 104, 52, 92, 40, 99, 47, 88, 36, 98, 46, 102, 50, 90, 38, 75, 23, 64, 12, 70, 18, 82, 30, 93, 41, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 85, 33, 80, 28, 68, 16, 60, 8, 56, 4, 63, 11, 74, 22, 89, 37, 101, 49, 97, 45, 84, 32, 76, 24, 91, 39, 103, 51, 96, 44, 83, 31, 73, 21, 87, 35, 100, 48, 94, 42, 79, 27, 67, 15, 59, 7, 55)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 41)(29, 44)(32, 47)(34, 48)(36, 45)(37, 50)(39, 52)(43, 51)(46, 49)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 80)(67, 81)(70, 84)(71, 86)(73, 88)(75, 91)(77, 89)(78, 85)(79, 95)(82, 97)(83, 98)(87, 99)(90, 103)(92, 100)(93, 101)(94, 104)(96, 102)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1116
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1109 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-3 * Y2, Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1^-2 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, (Y2 * Y1 * Y3)^13 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 72, 20, 62, 10, 69, 17, 79, 27, 88, 36, 92, 40, 83, 31, 90, 38, 99, 47, 104, 52, 103, 51, 96, 44, 87, 35, 91, 39, 94, 42, 85, 33, 75, 23, 64, 12, 70, 18, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 68, 16, 60, 8, 56, 4, 63, 11, 74, 22, 84, 32, 81, 29, 76, 24, 86, 34, 95, 43, 102, 50, 100, 48, 97, 45, 93, 41, 101, 49, 98, 46, 89, 37, 80, 28, 73, 21, 82, 30, 78, 26, 67, 15, 59, 7, 55)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 25)(17, 28)(20, 30)(22, 33)(24, 35)(27, 37)(29, 39)(31, 41)(32, 42)(34, 44)(36, 46)(38, 45)(40, 49)(43, 51)(47, 48)(50, 52)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 71)(67, 79)(70, 81)(73, 83)(75, 86)(77, 84)(78, 88)(80, 90)(82, 92)(85, 95)(87, 97)(89, 99)(91, 100)(93, 96)(94, 102)(98, 104)(101, 103)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1113
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1110 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1 * Y3 * Y1^-2 * Y2, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 62, 10, 67, 15, 72, 20, 74, 22, 79, 27, 84, 32, 86, 34, 91, 39, 96, 44, 98, 46, 103, 51, 101, 49, 99, 47, 94, 42, 89, 37, 87, 35, 82, 30, 77, 25, 75, 23, 70, 18, 64, 12, 65, 13, 57, 5, 53)(3, 61, 9, 60, 8, 56, 4, 63, 11, 69, 17, 71, 19, 76, 24, 81, 29, 83, 31, 88, 36, 93, 41, 95, 43, 100, 48, 104, 52, 102, 50, 97, 45, 92, 40, 90, 38, 85, 33, 80, 28, 78, 26, 73, 21, 68, 16, 66, 14, 59, 7, 55)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 21)(17, 23)(19, 25)(20, 26)(22, 28)(24, 30)(27, 33)(29, 35)(31, 37)(32, 38)(34, 40)(36, 42)(39, 45)(41, 47)(43, 49)(44, 50)(46, 52)(48, 51)(53, 56)(54, 60)(55, 62)(57, 63)(58, 61)(59, 67)(64, 71)(65, 69)(66, 72)(68, 74)(70, 76)(73, 79)(75, 81)(77, 83)(78, 84)(80, 86)(82, 88)(85, 91)(87, 93)(89, 95)(90, 96)(92, 98)(94, 100)(97, 103)(99, 104)(101, 102)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1115
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1111 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|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, Y1^13 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 65, 13, 73, 21, 81, 29, 89, 37, 96, 44, 88, 36, 80, 28, 72, 20, 64, 12, 57, 5, 53)(3, 61, 9, 69, 17, 77, 25, 85, 33, 93, 41, 100, 48, 97, 45, 90, 38, 82, 30, 74, 22, 66, 14, 59, 7, 55)(4, 63, 11, 71, 19, 79, 27, 87, 35, 95, 43, 102, 50, 98, 46, 91, 39, 83, 31, 75, 23, 67, 15, 60, 8, 56)(10, 68, 16, 76, 24, 84, 32, 92, 40, 99, 47, 103, 51, 104, 52, 101, 49, 94, 42, 86, 34, 78, 26, 70, 18, 62)
	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, 45)(39, 47)(43, 49)(44, 48)(46, 51)(50, 52)(53, 56)(54, 60)(55, 62)(57, 63)(58, 67)(59, 68)(61, 70)(64, 71)(65, 75)(66, 76)(69, 78)(72, 79)(73, 83)(74, 84)(77, 86)(80, 87)(81, 91)(82, 92)(85, 94)(88, 95)(89, 98)(90, 99)(93, 101)(96, 102)(97, 103)(100, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1105
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1112 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, (Y1 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^2 * Y2, Y1^2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2, Y1^4 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 78, 26, 88, 36, 97, 45, 102, 50, 92, 40, 93, 41, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 85, 33, 84, 32, 76, 24, 91, 39, 101, 49, 98, 46, 94, 42, 79, 27, 67, 15, 59, 7, 55)(4, 63, 11, 74, 22, 89, 37, 99, 47, 103, 51, 96, 44, 83, 31, 73, 21, 87, 35, 80, 28, 68, 16, 60, 8, 56)(10, 69, 17, 81, 29, 95, 43, 104, 52, 100, 48, 90, 38, 75, 23, 64, 12, 70, 18, 82, 30, 86, 34, 72, 20, 62)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 34)(29, 44)(32, 41)(36, 46)(37, 48)(39, 50)(43, 51)(45, 49)(47, 52)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 80)(67, 81)(70, 84)(71, 86)(73, 88)(75, 91)(77, 89)(78, 87)(79, 95)(82, 85)(83, 97)(90, 101)(92, 103)(93, 99)(94, 104)(96, 102)(98, 100)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1107
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1113 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y2)^2, (Y1^-1 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y1^4 * Y2 * Y1^-1 * Y3 * Y2 * Y3, Y1 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 78, 26, 92, 40, 97, 45, 101, 49, 88, 36, 93, 41, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 85, 33, 98, 46, 102, 50, 96, 44, 84, 32, 76, 24, 91, 39, 79, 27, 67, 15, 59, 7, 55)(4, 63, 11, 74, 22, 89, 37, 83, 31, 73, 21, 87, 35, 100, 48, 103, 51, 94, 42, 80, 28, 68, 16, 60, 8, 56)(10, 69, 17, 81, 29, 90, 38, 75, 23, 64, 12, 70, 18, 82, 30, 95, 43, 104, 52, 99, 47, 86, 34, 72, 20, 62)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 39)(28, 43)(29, 37)(32, 45)(34, 48)(36, 50)(41, 46)(42, 52)(44, 49)(47, 51)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 80)(67, 81)(70, 84)(71, 86)(73, 88)(75, 91)(77, 89)(78, 94)(79, 90)(82, 96)(83, 93)(85, 99)(87, 101)(92, 103)(95, 102)(97, 100)(98, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1109
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1114 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-2 * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y1^3, Y2 * Y3 * Y1 * Y2 * Y1^-2 * Y3, Y1^13, 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 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 78, 26, 86, 34, 94, 42, 101, 49, 93, 41, 85, 33, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 82, 30, 90, 38, 98, 46, 104, 52, 97, 45, 89, 37, 81, 29, 76, 24, 67, 15, 59, 7, 55)(4, 63, 11, 74, 22, 73, 21, 84, 32, 92, 40, 100, 48, 102, 50, 95, 43, 87, 35, 79, 27, 68, 16, 60, 8, 56)(10, 69, 17, 75, 23, 64, 12, 70, 18, 80, 28, 88, 36, 96, 44, 103, 51, 99, 47, 91, 39, 83, 31, 72, 20, 62)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 24)(16, 28)(17, 22)(20, 32)(25, 30)(26, 29)(27, 36)(31, 40)(33, 38)(34, 37)(35, 44)(39, 48)(41, 46)(42, 45)(43, 51)(47, 50)(49, 52)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 79)(67, 75)(70, 81)(71, 83)(73, 77)(78, 87)(80, 89)(82, 91)(84, 85)(86, 95)(88, 97)(90, 99)(92, 93)(94, 102)(96, 104)(98, 103)(100, 101)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1106
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1115 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y2)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y2, Y1^13, Y1^-1 * Y3 * Y1^4 * Y2 * Y3 * Y2 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 78, 26, 86, 34, 94, 42, 101, 49, 93, 41, 85, 33, 77, 25, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 76, 24, 84, 32, 92, 40, 100, 48, 102, 50, 95, 43, 87, 35, 79, 27, 67, 15, 59, 7, 55)(4, 63, 11, 74, 22, 82, 30, 90, 38, 98, 46, 104, 52, 97, 45, 89, 37, 81, 29, 73, 21, 68, 16, 60, 8, 56)(10, 69, 17, 80, 28, 88, 36, 96, 44, 103, 51, 99, 47, 91, 39, 83, 31, 75, 23, 64, 12, 70, 18, 72, 20, 62)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 20)(17, 29)(22, 31)(24, 25)(26, 35)(28, 37)(30, 39)(32, 33)(34, 43)(36, 45)(38, 47)(40, 41)(42, 50)(44, 52)(46, 51)(48, 49)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 76)(65, 74)(66, 73)(67, 80)(70, 71)(75, 84)(77, 82)(78, 81)(79, 88)(83, 92)(85, 90)(86, 89)(87, 96)(91, 100)(93, 98)(94, 97)(95, 103)(99, 102)(101, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1110
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1116 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: halfedge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, Y3 * Y1^2 * Y2 * Y3 * Y2, Y1^13, Y1^5 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-5 * Y2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 54, 2, 58, 6, 66, 14, 75, 23, 83, 31, 91, 39, 98, 46, 90, 38, 82, 30, 74, 22, 65, 13, 57, 5, 53)(3, 61, 9, 71, 19, 79, 27, 87, 35, 95, 43, 102, 50, 99, 47, 92, 40, 84, 32, 76, 24, 67, 15, 59, 7, 55)(4, 63, 11, 73, 21, 81, 29, 89, 37, 97, 45, 104, 52, 100, 48, 93, 41, 85, 33, 77, 25, 68, 16, 60, 8, 56)(10, 69, 17, 64, 12, 70, 18, 78, 26, 86, 34, 94, 42, 101, 49, 103, 51, 96, 44, 88, 36, 80, 28, 72, 20, 62)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 17)(13, 19)(14, 24)(16, 26)(20, 29)(22, 27)(23, 32)(25, 34)(28, 37)(30, 35)(31, 40)(33, 42)(36, 45)(38, 43)(39, 47)(41, 49)(44, 52)(46, 50)(48, 51)(53, 56)(54, 60)(55, 62)(57, 63)(58, 68)(59, 69)(61, 72)(64, 67)(65, 73)(66, 77)(70, 76)(71, 80)(74, 81)(75, 85)(78, 84)(79, 88)(82, 89)(83, 93)(86, 92)(87, 96)(90, 97)(91, 100)(94, 99)(95, 103)(98, 104)(101, 102)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1108
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1117 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|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, Y3^13, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 53, 4, 56, 11, 63, 19, 71, 27, 79, 35, 87, 43, 95, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57)(2, 54, 7, 59, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 48, 100, 40, 92, 32, 84, 24, 76, 16, 68, 8, 60)(3, 55, 9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 49, 101, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70, 10, 62)(6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 51, 103, 52, 104, 46, 98, 38, 90, 30, 82, 22, 74, 14, 66)(105, 106)(107, 110)(108, 112)(109, 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, 142)(138, 141)(139, 144)(140, 143)(145, 150)(146, 149)(147, 152)(148, 151)(153, 156)(154, 155)(157, 159)(158, 162)(160, 166)(161, 165)(163, 170)(164, 169)(167, 174)(168, 173)(171, 178)(172, 177)(175, 182)(176, 181)(179, 186)(180, 185)(183, 190)(184, 189)(187, 194)(188, 193)(191, 198)(192, 197)(195, 202)(196, 201)(199, 206)(200, 205)(203, 208)(204, 207)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1135
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1118 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^4, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^26 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 40, 92, 26, 78, 43, 95, 48, 100, 33, 85, 41, 93, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 35, 87, 19, 71, 34, 86, 49, 101, 42, 94, 46, 98, 32, 84, 18, 70, 8, 60)(3, 55, 10, 62, 22, 74, 38, 90, 51, 103, 47, 99, 44, 96, 28, 80, 14, 66, 27, 79, 39, 91, 23, 75, 11, 63)(6, 58, 15, 67, 29, 81, 45, 97, 52, 104, 50, 102, 37, 89, 21, 73, 9, 61, 20, 72, 36, 88, 30, 82, 16, 68)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 132)(120, 131)(123, 137)(126, 141)(127, 140)(128, 136)(129, 135)(130, 146)(133, 148)(134, 143)(138, 152)(139, 145)(142, 154)(144, 150)(147, 153)(149, 151)(155, 156)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 182)(173, 186)(174, 185)(176, 191)(177, 190)(180, 195)(181, 194)(183, 196)(184, 199)(187, 192)(188, 201)(189, 203)(193, 205)(197, 207)(198, 206)(200, 204)(202, 208)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1139
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1119 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-1, Y3^2 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^39 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 40, 92, 33, 85, 48, 100, 43, 95, 26, 78, 41, 93, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 46, 98, 42, 94, 49, 101, 35, 87, 19, 71, 34, 86, 32, 84, 18, 70, 8, 60)(3, 55, 10, 62, 22, 74, 38, 90, 28, 80, 14, 66, 27, 79, 44, 96, 47, 99, 51, 103, 39, 91, 23, 75, 11, 63)(6, 58, 15, 67, 29, 81, 37, 89, 21, 73, 9, 61, 20, 72, 36, 88, 50, 102, 52, 104, 45, 97, 30, 82, 16, 68)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 132)(120, 131)(123, 137)(126, 141)(127, 140)(128, 136)(129, 135)(130, 146)(133, 142)(134, 148)(138, 144)(139, 152)(143, 154)(145, 150)(147, 153)(149, 151)(155, 156)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 182)(173, 186)(174, 185)(176, 191)(177, 190)(180, 195)(181, 194)(183, 199)(184, 197)(187, 201)(188, 193)(189, 203)(192, 205)(196, 207)(198, 206)(200, 204)(202, 208)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1137
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1120 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^13, Y3 * Y2 * Y3^-4 * Y1 * Y3^5 * Y2 * Y1, (Y3 * Y1 * Y2)^26 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 32, 84, 40, 92, 48, 100, 49, 101, 41, 93, 33, 85, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 28, 80, 36, 88, 44, 96, 52, 104, 45, 97, 37, 89, 29, 81, 19, 71, 18, 70, 8, 60)(3, 55, 10, 62, 22, 74, 14, 66, 26, 78, 34, 86, 42, 94, 50, 102, 47, 99, 39, 91, 31, 83, 23, 75, 11, 63)(6, 58, 15, 67, 21, 73, 9, 61, 20, 72, 30, 82, 38, 90, 46, 98, 51, 103, 43, 95, 35, 87, 27, 79, 16, 68)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 126)(120, 130)(123, 128)(127, 134)(129, 132)(131, 138)(133, 136)(135, 142)(137, 140)(139, 146)(141, 144)(143, 150)(145, 148)(147, 154)(149, 152)(151, 155)(153, 156)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 181)(173, 183)(174, 177)(176, 185)(180, 187)(182, 189)(184, 191)(186, 193)(188, 195)(190, 197)(192, 199)(194, 201)(196, 203)(198, 205)(200, 207)(202, 208)(204, 206)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1140
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1121 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^13, Y2 * Y3^4 * Y1 * Y2 * Y3^6 * Y1, (Y3 * Y1 * Y2)^26 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 32, 84, 40, 92, 48, 100, 49, 101, 41, 93, 33, 85, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 19, 71, 29, 81, 37, 89, 45, 97, 52, 104, 44, 96, 36, 88, 28, 80, 18, 70, 8, 60)(3, 55, 10, 62, 22, 74, 31, 83, 39, 91, 47, 99, 50, 102, 42, 94, 34, 86, 26, 78, 14, 66, 23, 75, 11, 63)(6, 58, 15, 67, 27, 79, 35, 87, 43, 95, 51, 103, 46, 98, 38, 90, 30, 82, 21, 73, 9, 61, 20, 72, 16, 68)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 130)(120, 127)(123, 129)(126, 134)(128, 132)(131, 138)(133, 137)(135, 142)(136, 140)(139, 146)(141, 145)(143, 150)(144, 148)(147, 154)(149, 153)(151, 155)(152, 156)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 180)(173, 176)(174, 183)(177, 185)(181, 187)(182, 188)(184, 191)(186, 193)(189, 195)(190, 196)(192, 199)(194, 201)(197, 203)(198, 204)(200, 207)(202, 208)(205, 206)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1136
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1122 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^13, Y1 * Y3^-5 * Y2 * Y1 * Y3^-6 * Y2, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * 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, 53, 4, 56, 12, 64, 21, 73, 29, 81, 37, 89, 45, 97, 46, 98, 38, 90, 30, 82, 22, 74, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 25, 77, 33, 85, 41, 93, 49, 101, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70, 8, 60)(3, 55, 10, 62, 20, 72, 28, 80, 36, 88, 44, 96, 52, 104, 47, 99, 39, 91, 31, 83, 23, 75, 14, 66, 11, 63)(6, 58, 15, 67, 24, 76, 32, 84, 40, 92, 48, 100, 51, 103, 43, 95, 35, 87, 27, 79, 19, 71, 9, 61, 16, 68)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 123)(115, 120)(116, 122)(117, 121)(119, 127)(124, 131)(125, 130)(126, 129)(128, 135)(132, 139)(133, 138)(134, 137)(136, 143)(140, 147)(141, 146)(142, 145)(144, 151)(148, 155)(149, 154)(150, 153)(152, 156)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 173)(168, 170)(169, 176)(174, 180)(175, 181)(177, 179)(178, 184)(182, 188)(183, 189)(185, 187)(186, 192)(190, 196)(191, 197)(193, 195)(194, 200)(198, 204)(199, 205)(201, 203)(202, 208)(206, 207)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1138
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1123 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y2 * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y3^13, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 53, 4, 56, 11, 63, 19, 71, 27, 79, 35, 87, 43, 95, 51, 103, 46, 98, 38, 90, 30, 82, 22, 74, 14, 66, 6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 52, 104, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57)(2, 54, 7, 59, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70, 10, 62, 3, 55, 9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 49, 101, 48, 100, 40, 92, 32, 84, 24, 76, 16, 68, 8, 60)(105, 106)(107, 110)(108, 112)(109, 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, 142)(138, 141)(139, 144)(140, 143)(145, 150)(146, 149)(147, 152)(148, 151)(153, 155)(154, 156)(157, 159)(158, 162)(160, 166)(161, 165)(163, 170)(164, 169)(167, 174)(168, 173)(171, 178)(172, 177)(175, 182)(176, 181)(179, 186)(180, 185)(183, 190)(184, 189)(187, 194)(188, 193)(191, 198)(192, 197)(195, 202)(196, 201)(199, 206)(200, 205)(203, 207)(204, 208)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1129
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1124 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (Y1 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^26, 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 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 26, 78, 38, 90, 47, 99, 49, 101, 44, 96, 35, 87, 21, 73, 9, 61, 20, 72, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 40, 92, 45, 97, 51, 103, 42, 94, 33, 85, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 19, 71, 34, 86, 43, 95, 52, 104, 48, 100, 39, 91, 28, 80, 14, 66, 27, 79, 23, 75, 11, 63, 3, 55, 10, 62, 22, 74, 36, 88, 41, 93, 50, 102, 46, 98, 37, 89, 32, 84, 18, 70, 8, 60)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 132)(120, 131)(123, 137)(126, 139)(127, 134)(128, 136)(129, 135)(130, 141)(133, 143)(138, 146)(140, 148)(142, 150)(144, 152)(145, 153)(147, 155)(149, 156)(151, 154)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 182)(173, 186)(174, 185)(176, 187)(177, 190)(180, 183)(181, 192)(184, 194)(188, 196)(189, 197)(191, 199)(193, 201)(195, 203)(198, 206)(200, 208)(202, 207)(204, 205)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1133
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1125 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-3 * Y2, Y3^7 * Y1 * Y3^-2 * Y2, Y3 * Y2 * Y3^-3 * Y1 * Y3^4 * Y2 * Y1 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 36, 88, 48, 100, 45, 97, 33, 85, 21, 73, 9, 61, 20, 72, 32, 84, 44, 96, 51, 103, 40, 92, 28, 80, 16, 68, 6, 58, 15, 67, 27, 79, 39, 91, 49, 101, 37, 89, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 29, 81, 41, 93, 52, 104, 43, 95, 31, 83, 19, 71, 14, 66, 26, 78, 38, 90, 50, 102, 47, 99, 35, 87, 23, 75, 11, 63, 3, 55, 10, 62, 22, 74, 34, 86, 46, 98, 42, 94, 30, 82, 18, 70, 8, 60)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 123)(120, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 135)(132, 142)(138, 149)(139, 148)(140, 146)(141, 145)(143, 147)(144, 154)(150, 152)(151, 155)(153, 156)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 177)(173, 184)(174, 183)(176, 187)(180, 191)(181, 190)(182, 189)(185, 196)(186, 195)(188, 199)(192, 203)(193, 202)(194, 201)(197, 207)(198, 205)(200, 208)(204, 206)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1131
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1126 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-3 * Y2 * Y1 * Y3^-4, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^4 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 40, 92, 37, 89, 21, 73, 9, 61, 20, 72, 36, 88, 51, 103, 44, 96, 26, 78, 43, 95, 33, 85, 49, 101, 47, 99, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 41, 93, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 48, 100, 46, 98, 28, 80, 14, 66, 27, 79, 45, 97, 50, 102, 35, 87, 19, 71, 34, 86, 42, 94, 52, 104, 39, 91, 23, 75, 11, 63, 3, 55, 10, 62, 22, 74, 38, 90, 32, 84, 18, 70, 8, 60)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 132)(120, 131)(123, 137)(126, 141)(127, 140)(128, 136)(129, 135)(130, 146)(133, 150)(134, 149)(138, 147)(139, 153)(142, 144)(143, 155)(145, 152)(148, 156)(151, 154)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 182)(173, 186)(174, 185)(176, 191)(177, 190)(180, 195)(181, 194)(183, 200)(184, 199)(187, 203)(188, 197)(189, 202)(192, 206)(193, 198)(196, 208)(201, 207)(204, 205)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1134
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1127 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^5 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3^2 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 24, 76, 21, 73, 9, 61, 20, 72, 34, 86, 45, 97, 43, 95, 31, 83, 42, 94, 50, 102, 52, 104, 47, 99, 38, 90, 26, 78, 37, 89, 40, 92, 29, 81, 16, 68, 6, 58, 15, 67, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 30, 82, 28, 80, 14, 66, 27, 79, 39, 91, 48, 100, 46, 98, 36, 88, 41, 93, 49, 101, 51, 103, 44, 96, 33, 85, 19, 71, 32, 84, 35, 87, 23, 75, 11, 63, 3, 55, 10, 62, 22, 74, 18, 70, 8, 60)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 132)(120, 131)(123, 135)(126, 128)(127, 138)(129, 134)(130, 140)(133, 143)(136, 147)(137, 146)(139, 149)(141, 150)(142, 145)(144, 152)(148, 154)(151, 153)(155, 156)(157, 159)(158, 162)(160, 167)(161, 166)(163, 172)(164, 171)(165, 175)(168, 179)(169, 178)(170, 182)(173, 185)(174, 181)(176, 189)(177, 188)(180, 191)(183, 194)(184, 193)(186, 196)(187, 197)(190, 200)(192, 198)(195, 203)(199, 205)(201, 207)(202, 206)(204, 208)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1130
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1128 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 13, 26})
Quotient :: edge^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 53, 4, 56, 12, 64, 9, 61, 18, 70, 25, 77, 23, 75, 30, 82, 37, 89, 35, 87, 42, 94, 49, 101, 47, 99, 51, 103, 44, 96, 46, 98, 39, 91, 32, 84, 34, 86, 27, 79, 20, 72, 22, 74, 15, 67, 6, 58, 13, 65, 5, 57)(2, 54, 7, 59, 16, 68, 14, 66, 21, 73, 28, 80, 26, 78, 33, 85, 40, 92, 38, 90, 45, 97, 52, 104, 50, 102, 48, 100, 41, 93, 43, 95, 36, 88, 29, 81, 31, 83, 24, 76, 17, 69, 19, 71, 11, 63, 3, 55, 10, 62, 8, 60)(105, 106)(107, 113)(108, 112)(109, 111)(110, 118)(114, 116)(115, 122)(117, 120)(119, 125)(121, 127)(123, 129)(124, 130)(126, 132)(128, 134)(131, 137)(133, 139)(135, 141)(136, 142)(138, 144)(140, 146)(143, 149)(145, 151)(147, 153)(148, 154)(150, 156)(152, 155)(157, 159)(158, 162)(160, 167)(161, 166)(163, 171)(164, 169)(165, 173)(168, 175)(170, 176)(172, 178)(174, 180)(177, 183)(179, 185)(181, 187)(182, 188)(184, 190)(186, 192)(189, 195)(191, 197)(193, 199)(194, 200)(196, 202)(198, 204)(201, 207)(203, 208)(205, 206)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1132
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1129 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|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, Y3^13, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 11, 63, 115, 167, 19, 71, 123, 175, 27, 79, 131, 183, 35, 87, 139, 191, 43, 95, 147, 199, 44, 96, 148, 200, 36, 88, 140, 192, 28, 80, 132, 184, 20, 72, 124, 176, 12, 64, 116, 168, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 15, 67, 119, 171, 23, 75, 127, 179, 31, 83, 135, 187, 39, 91, 143, 195, 47, 99, 151, 203, 48, 100, 152, 204, 40, 92, 144, 196, 32, 84, 136, 188, 24, 76, 128, 180, 16, 68, 120, 172, 8, 60, 112, 164)(3, 55, 107, 159, 9, 61, 113, 165, 17, 69, 121, 173, 25, 77, 129, 181, 33, 85, 137, 189, 41, 93, 145, 197, 49, 101, 153, 205, 50, 102, 154, 206, 42, 94, 146, 198, 34, 86, 138, 190, 26, 78, 130, 182, 18, 70, 122, 174, 10, 62, 114, 166)(6, 58, 110, 162, 13, 65, 117, 169, 21, 73, 125, 177, 29, 81, 133, 185, 37, 89, 141, 193, 45, 97, 149, 201, 51, 103, 155, 207, 52, 104, 156, 208, 46, 98, 150, 202, 38, 90, 142, 194, 30, 82, 134, 186, 22, 74, 126, 178, 14, 66, 118, 170)
	L = (1, 54)(2, 53)(3, 58)(4, 60)(5, 59)(6, 55)(7, 57)(8, 56)(9, 66)(10, 65)(11, 68)(12, 67)(13, 62)(14, 61)(15, 64)(16, 63)(17, 74)(18, 73)(19, 76)(20, 75)(21, 70)(22, 69)(23, 72)(24, 71)(25, 82)(26, 81)(27, 84)(28, 83)(29, 78)(30, 77)(31, 80)(32, 79)(33, 90)(34, 89)(35, 92)(36, 91)(37, 86)(38, 85)(39, 88)(40, 87)(41, 98)(42, 97)(43, 100)(44, 99)(45, 94)(46, 93)(47, 96)(48, 95)(49, 104)(50, 103)(51, 102)(52, 101)(105, 159)(106, 162)(107, 157)(108, 166)(109, 165)(110, 158)(111, 170)(112, 169)(113, 161)(114, 160)(115, 174)(116, 173)(117, 164)(118, 163)(119, 178)(120, 177)(121, 168)(122, 167)(123, 182)(124, 181)(125, 172)(126, 171)(127, 186)(128, 185)(129, 176)(130, 175)(131, 190)(132, 189)(133, 180)(134, 179)(135, 194)(136, 193)(137, 184)(138, 183)(139, 198)(140, 197)(141, 188)(142, 187)(143, 202)(144, 201)(145, 192)(146, 191)(147, 206)(148, 205)(149, 196)(150, 195)(151, 208)(152, 207)(153, 200)(154, 199)(155, 204)(156, 203)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1123
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1130 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^4, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^26 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 40, 92, 144, 196, 26, 78, 130, 182, 43, 95, 147, 199, 48, 100, 152, 204, 33, 85, 137, 189, 41, 93, 145, 197, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 31, 83, 135, 187, 35, 87, 139, 191, 19, 71, 123, 175, 34, 86, 138, 190, 49, 101, 153, 205, 42, 94, 146, 198, 46, 98, 150, 202, 32, 84, 136, 188, 18, 70, 122, 174, 8, 60, 112, 164)(3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 38, 90, 142, 194, 51, 103, 155, 207, 47, 99, 151, 203, 44, 96, 148, 200, 28, 80, 132, 184, 14, 66, 118, 170, 27, 79, 131, 183, 39, 91, 143, 195, 23, 75, 127, 179, 11, 63, 115, 167)(6, 58, 110, 162, 15, 67, 119, 171, 29, 81, 133, 185, 45, 97, 149, 201, 52, 104, 156, 208, 50, 102, 154, 206, 37, 89, 141, 193, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 36, 88, 140, 192, 30, 82, 134, 186, 16, 68, 120, 172)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 80)(16, 79)(17, 65)(18, 64)(19, 85)(20, 63)(21, 62)(22, 89)(23, 88)(24, 84)(25, 83)(26, 94)(27, 68)(28, 67)(29, 96)(30, 91)(31, 77)(32, 76)(33, 71)(34, 100)(35, 93)(36, 75)(37, 74)(38, 102)(39, 82)(40, 98)(41, 87)(42, 78)(43, 101)(44, 81)(45, 99)(46, 92)(47, 97)(48, 86)(49, 95)(50, 90)(51, 104)(52, 103)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 182)(119, 164)(120, 163)(121, 186)(122, 185)(123, 165)(124, 191)(125, 190)(126, 169)(127, 168)(128, 195)(129, 194)(130, 170)(131, 196)(132, 199)(133, 174)(134, 173)(135, 192)(136, 201)(137, 203)(138, 177)(139, 176)(140, 187)(141, 205)(142, 181)(143, 180)(144, 183)(145, 207)(146, 206)(147, 184)(148, 204)(149, 188)(150, 208)(151, 189)(152, 200)(153, 193)(154, 198)(155, 197)(156, 202)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1127
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1131 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-1, Y3^2 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^39 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 40, 92, 144, 196, 33, 85, 137, 189, 48, 100, 152, 204, 43, 95, 147, 199, 26, 78, 130, 182, 41, 93, 145, 197, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 31, 83, 135, 187, 46, 98, 150, 202, 42, 94, 146, 198, 49, 101, 153, 205, 35, 87, 139, 191, 19, 71, 123, 175, 34, 86, 138, 190, 32, 84, 136, 188, 18, 70, 122, 174, 8, 60, 112, 164)(3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 38, 90, 142, 194, 28, 80, 132, 184, 14, 66, 118, 170, 27, 79, 131, 183, 44, 96, 148, 200, 47, 99, 151, 203, 51, 103, 155, 207, 39, 91, 143, 195, 23, 75, 127, 179, 11, 63, 115, 167)(6, 58, 110, 162, 15, 67, 119, 171, 29, 81, 133, 185, 37, 89, 141, 193, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 36, 88, 140, 192, 50, 102, 154, 206, 52, 104, 156, 208, 45, 97, 149, 201, 30, 82, 134, 186, 16, 68, 120, 172)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 80)(16, 79)(17, 65)(18, 64)(19, 85)(20, 63)(21, 62)(22, 89)(23, 88)(24, 84)(25, 83)(26, 94)(27, 68)(28, 67)(29, 90)(30, 96)(31, 77)(32, 76)(33, 71)(34, 92)(35, 100)(36, 75)(37, 74)(38, 81)(39, 102)(40, 86)(41, 98)(42, 78)(43, 101)(44, 82)(45, 99)(46, 93)(47, 97)(48, 87)(49, 95)(50, 91)(51, 104)(52, 103)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 182)(119, 164)(120, 163)(121, 186)(122, 185)(123, 165)(124, 191)(125, 190)(126, 169)(127, 168)(128, 195)(129, 194)(130, 170)(131, 199)(132, 197)(133, 174)(134, 173)(135, 201)(136, 193)(137, 203)(138, 177)(139, 176)(140, 205)(141, 188)(142, 181)(143, 180)(144, 207)(145, 184)(146, 206)(147, 183)(148, 204)(149, 187)(150, 208)(151, 189)(152, 200)(153, 192)(154, 198)(155, 196)(156, 202)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1125
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1132 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^13, Y3 * Y2 * Y3^-4 * Y1 * Y3^5 * Y2 * Y1, (Y3 * Y1 * Y2)^26 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 32, 84, 136, 188, 40, 92, 144, 196, 48, 100, 152, 204, 49, 101, 153, 205, 41, 93, 145, 197, 33, 85, 137, 189, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 28, 80, 132, 184, 36, 88, 140, 192, 44, 96, 148, 200, 52, 104, 156, 208, 45, 97, 149, 201, 37, 89, 141, 193, 29, 81, 133, 185, 19, 71, 123, 175, 18, 70, 122, 174, 8, 60, 112, 164)(3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 14, 66, 118, 170, 26, 78, 130, 182, 34, 86, 138, 190, 42, 94, 146, 198, 50, 102, 154, 206, 47, 99, 151, 203, 39, 91, 143, 195, 31, 83, 135, 187, 23, 75, 127, 179, 11, 63, 115, 167)(6, 58, 110, 162, 15, 67, 119, 171, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 30, 82, 134, 186, 38, 90, 142, 194, 46, 98, 150, 202, 51, 103, 155, 207, 43, 95, 147, 199, 35, 87, 139, 191, 27, 79, 131, 183, 16, 68, 120, 172)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 74)(16, 78)(17, 65)(18, 64)(19, 76)(20, 63)(21, 62)(22, 67)(23, 82)(24, 71)(25, 80)(26, 68)(27, 86)(28, 77)(29, 84)(30, 75)(31, 90)(32, 81)(33, 88)(34, 79)(35, 94)(36, 85)(37, 92)(38, 83)(39, 98)(40, 89)(41, 96)(42, 87)(43, 102)(44, 93)(45, 100)(46, 91)(47, 103)(48, 97)(49, 104)(50, 95)(51, 99)(52, 101)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 181)(119, 164)(120, 163)(121, 183)(122, 177)(123, 165)(124, 185)(125, 174)(126, 169)(127, 168)(128, 187)(129, 170)(130, 189)(131, 173)(132, 191)(133, 176)(134, 193)(135, 180)(136, 195)(137, 182)(138, 197)(139, 184)(140, 199)(141, 186)(142, 201)(143, 188)(144, 203)(145, 190)(146, 205)(147, 192)(148, 207)(149, 194)(150, 208)(151, 196)(152, 206)(153, 198)(154, 204)(155, 200)(156, 202)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1128
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1133 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^13, Y2 * Y3^4 * Y1 * Y2 * Y3^6 * Y1, (Y3 * Y1 * Y2)^26 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 32, 84, 136, 188, 40, 92, 144, 196, 48, 100, 152, 204, 49, 101, 153, 205, 41, 93, 145, 197, 33, 85, 137, 189, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 19, 71, 123, 175, 29, 81, 133, 185, 37, 89, 141, 193, 45, 97, 149, 201, 52, 104, 156, 208, 44, 96, 148, 200, 36, 88, 140, 192, 28, 80, 132, 184, 18, 70, 122, 174, 8, 60, 112, 164)(3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 31, 83, 135, 187, 39, 91, 143, 195, 47, 99, 151, 203, 50, 102, 154, 206, 42, 94, 146, 198, 34, 86, 138, 190, 26, 78, 130, 182, 14, 66, 118, 170, 23, 75, 127, 179, 11, 63, 115, 167)(6, 58, 110, 162, 15, 67, 119, 171, 27, 79, 131, 183, 35, 87, 139, 191, 43, 95, 147, 199, 51, 103, 155, 207, 46, 98, 150, 202, 38, 90, 142, 194, 30, 82, 134, 186, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 16, 68, 120, 172)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 78)(16, 75)(17, 65)(18, 64)(19, 77)(20, 63)(21, 62)(22, 82)(23, 68)(24, 80)(25, 71)(26, 67)(27, 86)(28, 76)(29, 85)(30, 74)(31, 90)(32, 88)(33, 81)(34, 79)(35, 94)(36, 84)(37, 93)(38, 83)(39, 98)(40, 96)(41, 89)(42, 87)(43, 102)(44, 92)(45, 101)(46, 91)(47, 103)(48, 104)(49, 97)(50, 95)(51, 99)(52, 100)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 180)(119, 164)(120, 163)(121, 176)(122, 183)(123, 165)(124, 173)(125, 185)(126, 169)(127, 168)(128, 170)(129, 187)(130, 188)(131, 174)(132, 191)(133, 177)(134, 193)(135, 181)(136, 182)(137, 195)(138, 196)(139, 184)(140, 199)(141, 186)(142, 201)(143, 189)(144, 190)(145, 203)(146, 204)(147, 192)(148, 207)(149, 194)(150, 208)(151, 197)(152, 198)(153, 206)(154, 205)(155, 200)(156, 202)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1124
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1134 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^13, Y1 * Y3^-5 * Y2 * Y1 * Y3^-6 * Y2, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * 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, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 21, 73, 125, 177, 29, 81, 133, 185, 37, 89, 141, 193, 45, 97, 149, 201, 46, 98, 150, 202, 38, 90, 142, 194, 30, 82, 134, 186, 22, 74, 126, 178, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 25, 77, 129, 181, 33, 85, 137, 189, 41, 93, 145, 197, 49, 101, 153, 205, 50, 102, 154, 206, 42, 94, 146, 198, 34, 86, 138, 190, 26, 78, 130, 182, 18, 70, 122, 174, 8, 60, 112, 164)(3, 55, 107, 159, 10, 62, 114, 166, 20, 72, 124, 176, 28, 80, 132, 184, 36, 88, 140, 192, 44, 96, 148, 200, 52, 104, 156, 208, 47, 99, 151, 203, 39, 91, 143, 195, 31, 83, 135, 187, 23, 75, 127, 179, 14, 66, 118, 170, 11, 63, 115, 167)(6, 58, 110, 162, 15, 67, 119, 171, 24, 76, 128, 180, 32, 84, 136, 188, 40, 92, 144, 196, 48, 100, 152, 204, 51, 103, 155, 207, 43, 95, 147, 199, 35, 87, 139, 191, 27, 79, 131, 183, 19, 71, 123, 175, 9, 61, 113, 165, 16, 68, 120, 172)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 71)(11, 68)(12, 70)(13, 69)(14, 58)(15, 75)(16, 63)(17, 65)(18, 64)(19, 62)(20, 79)(21, 78)(22, 77)(23, 67)(24, 83)(25, 74)(26, 73)(27, 72)(28, 87)(29, 86)(30, 85)(31, 76)(32, 91)(33, 82)(34, 81)(35, 80)(36, 95)(37, 94)(38, 93)(39, 84)(40, 99)(41, 90)(42, 89)(43, 88)(44, 103)(45, 102)(46, 101)(47, 92)(48, 104)(49, 98)(50, 97)(51, 96)(52, 100)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 173)(114, 161)(115, 160)(116, 170)(117, 176)(118, 168)(119, 164)(120, 163)(121, 165)(122, 180)(123, 181)(124, 169)(125, 179)(126, 184)(127, 177)(128, 174)(129, 175)(130, 188)(131, 189)(132, 178)(133, 187)(134, 192)(135, 185)(136, 182)(137, 183)(138, 196)(139, 197)(140, 186)(141, 195)(142, 200)(143, 193)(144, 190)(145, 191)(146, 204)(147, 205)(148, 194)(149, 203)(150, 208)(151, 201)(152, 198)(153, 199)(154, 207)(155, 206)(156, 202)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1126
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1135 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y2 * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y3^13, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 11, 63, 115, 167, 19, 71, 123, 175, 27, 79, 131, 183, 35, 87, 139, 191, 43, 95, 147, 199, 51, 103, 155, 207, 46, 98, 150, 202, 38, 90, 142, 194, 30, 82, 134, 186, 22, 74, 126, 178, 14, 66, 118, 170, 6, 58, 110, 162, 13, 65, 117, 169, 21, 73, 125, 177, 29, 81, 133, 185, 37, 89, 141, 193, 45, 97, 149, 201, 52, 104, 156, 208, 44, 96, 148, 200, 36, 88, 140, 192, 28, 80, 132, 184, 20, 72, 124, 176, 12, 64, 116, 168, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 15, 67, 119, 171, 23, 75, 127, 179, 31, 83, 135, 187, 39, 91, 143, 195, 47, 99, 151, 203, 50, 102, 154, 206, 42, 94, 146, 198, 34, 86, 138, 190, 26, 78, 130, 182, 18, 70, 122, 174, 10, 62, 114, 166, 3, 55, 107, 159, 9, 61, 113, 165, 17, 69, 121, 173, 25, 77, 129, 181, 33, 85, 137, 189, 41, 93, 145, 197, 49, 101, 153, 205, 48, 100, 152, 204, 40, 92, 144, 196, 32, 84, 136, 188, 24, 76, 128, 180, 16, 68, 120, 172, 8, 60, 112, 164)
	L = (1, 54)(2, 53)(3, 58)(4, 60)(5, 59)(6, 55)(7, 57)(8, 56)(9, 66)(10, 65)(11, 68)(12, 67)(13, 62)(14, 61)(15, 64)(16, 63)(17, 74)(18, 73)(19, 76)(20, 75)(21, 70)(22, 69)(23, 72)(24, 71)(25, 82)(26, 81)(27, 84)(28, 83)(29, 78)(30, 77)(31, 80)(32, 79)(33, 90)(34, 89)(35, 92)(36, 91)(37, 86)(38, 85)(39, 88)(40, 87)(41, 98)(42, 97)(43, 100)(44, 99)(45, 94)(46, 93)(47, 96)(48, 95)(49, 103)(50, 104)(51, 101)(52, 102)(105, 159)(106, 162)(107, 157)(108, 166)(109, 165)(110, 158)(111, 170)(112, 169)(113, 161)(114, 160)(115, 174)(116, 173)(117, 164)(118, 163)(119, 178)(120, 177)(121, 168)(122, 167)(123, 182)(124, 181)(125, 172)(126, 171)(127, 186)(128, 185)(129, 176)(130, 175)(131, 190)(132, 189)(133, 180)(134, 179)(135, 194)(136, 193)(137, 184)(138, 183)(139, 198)(140, 197)(141, 188)(142, 187)(143, 202)(144, 201)(145, 192)(146, 191)(147, 206)(148, 205)(149, 196)(150, 195)(151, 207)(152, 208)(153, 200)(154, 199)(155, 203)(156, 204)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1117
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1136 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (Y1 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^26, 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 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 26, 78, 130, 182, 38, 90, 142, 194, 47, 99, 151, 203, 49, 101, 153, 205, 44, 96, 148, 200, 35, 87, 139, 191, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 30, 82, 134, 186, 16, 68, 120, 172, 6, 58, 110, 162, 15, 67, 119, 171, 29, 81, 133, 185, 40, 92, 144, 196, 45, 97, 149, 201, 51, 103, 155, 207, 42, 94, 146, 198, 33, 85, 137, 189, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 31, 83, 135, 187, 19, 71, 123, 175, 34, 86, 138, 190, 43, 95, 147, 199, 52, 104, 156, 208, 48, 100, 152, 204, 39, 91, 143, 195, 28, 80, 132, 184, 14, 66, 118, 170, 27, 79, 131, 183, 23, 75, 127, 179, 11, 63, 115, 167, 3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 36, 88, 140, 192, 41, 93, 145, 197, 50, 102, 154, 206, 46, 98, 150, 202, 37, 89, 141, 193, 32, 84, 136, 188, 18, 70, 122, 174, 8, 60, 112, 164)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 80)(16, 79)(17, 65)(18, 64)(19, 85)(20, 63)(21, 62)(22, 87)(23, 82)(24, 84)(25, 83)(26, 89)(27, 68)(28, 67)(29, 91)(30, 75)(31, 77)(32, 76)(33, 71)(34, 94)(35, 74)(36, 96)(37, 78)(38, 98)(39, 81)(40, 100)(41, 101)(42, 86)(43, 103)(44, 88)(45, 104)(46, 90)(47, 102)(48, 92)(49, 93)(50, 99)(51, 95)(52, 97)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 182)(119, 164)(120, 163)(121, 186)(122, 185)(123, 165)(124, 187)(125, 190)(126, 169)(127, 168)(128, 183)(129, 192)(130, 170)(131, 180)(132, 194)(133, 174)(134, 173)(135, 176)(136, 196)(137, 197)(138, 177)(139, 199)(140, 181)(141, 201)(142, 184)(143, 203)(144, 188)(145, 189)(146, 206)(147, 191)(148, 208)(149, 193)(150, 207)(151, 195)(152, 205)(153, 204)(154, 198)(155, 202)(156, 200)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1121
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1137 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-3 * Y2, Y3^7 * Y1 * Y3^-2 * Y2, Y3 * Y2 * Y3^-3 * Y1 * Y3^4 * Y2 * Y1 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 36, 88, 140, 192, 48, 100, 152, 204, 45, 97, 149, 201, 33, 85, 137, 189, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 32, 84, 136, 188, 44, 96, 148, 200, 51, 103, 155, 207, 40, 92, 144, 196, 28, 80, 132, 184, 16, 68, 120, 172, 6, 58, 110, 162, 15, 67, 119, 171, 27, 79, 131, 183, 39, 91, 143, 195, 49, 101, 153, 205, 37, 89, 141, 193, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 29, 81, 133, 185, 41, 93, 145, 197, 52, 104, 156, 208, 43, 95, 147, 199, 31, 83, 135, 187, 19, 71, 123, 175, 14, 66, 118, 170, 26, 78, 130, 182, 38, 90, 142, 194, 50, 102, 154, 206, 47, 99, 151, 203, 35, 87, 139, 191, 23, 75, 127, 179, 11, 63, 115, 167, 3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 34, 86, 138, 190, 46, 98, 150, 202, 42, 94, 146, 198, 30, 82, 134, 186, 18, 70, 122, 174, 8, 60, 112, 164)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 71)(16, 78)(17, 65)(18, 64)(19, 67)(20, 63)(21, 62)(22, 85)(23, 84)(24, 82)(25, 81)(26, 68)(27, 83)(28, 90)(29, 77)(30, 76)(31, 79)(32, 75)(33, 74)(34, 97)(35, 96)(36, 94)(37, 93)(38, 80)(39, 95)(40, 102)(41, 89)(42, 88)(43, 91)(44, 87)(45, 86)(46, 100)(47, 103)(48, 98)(49, 104)(50, 92)(51, 99)(52, 101)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 177)(119, 164)(120, 163)(121, 184)(122, 183)(123, 165)(124, 187)(125, 170)(126, 169)(127, 168)(128, 191)(129, 190)(130, 189)(131, 174)(132, 173)(133, 196)(134, 195)(135, 176)(136, 199)(137, 182)(138, 181)(139, 180)(140, 203)(141, 202)(142, 201)(143, 186)(144, 185)(145, 207)(146, 205)(147, 188)(148, 208)(149, 194)(150, 193)(151, 192)(152, 206)(153, 198)(154, 204)(155, 197)(156, 200)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1119
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1138 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-3 * Y2 * Y1 * Y3^-4, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^4 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 40, 92, 144, 196, 37, 89, 141, 193, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 36, 88, 140, 192, 51, 103, 155, 207, 44, 96, 148, 200, 26, 78, 130, 182, 43, 95, 147, 199, 33, 85, 137, 189, 49, 101, 153, 205, 47, 99, 151, 203, 30, 82, 134, 186, 16, 68, 120, 172, 6, 58, 110, 162, 15, 67, 119, 171, 29, 81, 133, 185, 41, 93, 145, 197, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 31, 83, 135, 187, 48, 100, 152, 204, 46, 98, 150, 202, 28, 80, 132, 184, 14, 66, 118, 170, 27, 79, 131, 183, 45, 97, 149, 201, 50, 102, 154, 206, 35, 87, 139, 191, 19, 71, 123, 175, 34, 86, 138, 190, 42, 94, 146, 198, 52, 104, 156, 208, 39, 91, 143, 195, 23, 75, 127, 179, 11, 63, 115, 167, 3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 38, 90, 142, 194, 32, 84, 136, 188, 18, 70, 122, 174, 8, 60, 112, 164)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 80)(16, 79)(17, 65)(18, 64)(19, 85)(20, 63)(21, 62)(22, 89)(23, 88)(24, 84)(25, 83)(26, 94)(27, 68)(28, 67)(29, 98)(30, 97)(31, 77)(32, 76)(33, 71)(34, 95)(35, 101)(36, 75)(37, 74)(38, 92)(39, 103)(40, 90)(41, 100)(42, 78)(43, 86)(44, 104)(45, 82)(46, 81)(47, 102)(48, 93)(49, 87)(50, 99)(51, 91)(52, 96)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 182)(119, 164)(120, 163)(121, 186)(122, 185)(123, 165)(124, 191)(125, 190)(126, 169)(127, 168)(128, 195)(129, 194)(130, 170)(131, 200)(132, 199)(133, 174)(134, 173)(135, 203)(136, 197)(137, 202)(138, 177)(139, 176)(140, 206)(141, 198)(142, 181)(143, 180)(144, 208)(145, 188)(146, 193)(147, 184)(148, 183)(149, 207)(150, 189)(151, 187)(152, 205)(153, 204)(154, 192)(155, 201)(156, 196)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1122
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1139 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^5 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3^2 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 24, 76, 128, 180, 21, 73, 125, 177, 9, 61, 113, 165, 20, 72, 124, 176, 34, 86, 138, 190, 45, 97, 149, 201, 43, 95, 147, 199, 31, 83, 135, 187, 42, 94, 146, 198, 50, 102, 154, 206, 52, 104, 156, 208, 47, 99, 151, 203, 38, 90, 142, 194, 26, 78, 130, 182, 37, 89, 141, 193, 40, 92, 144, 196, 29, 81, 133, 185, 16, 68, 120, 172, 6, 58, 110, 162, 15, 67, 119, 171, 25, 77, 129, 181, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 17, 69, 121, 173, 30, 82, 134, 186, 28, 80, 132, 184, 14, 66, 118, 170, 27, 79, 131, 183, 39, 91, 143, 195, 48, 100, 152, 204, 46, 98, 150, 202, 36, 88, 140, 192, 41, 93, 145, 197, 49, 101, 153, 205, 51, 103, 155, 207, 44, 96, 148, 200, 33, 85, 137, 189, 19, 71, 123, 175, 32, 84, 136, 188, 35, 87, 139, 191, 23, 75, 127, 179, 11, 63, 115, 167, 3, 55, 107, 159, 10, 62, 114, 166, 22, 74, 126, 178, 18, 70, 122, 174, 8, 60, 112, 164)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 73)(11, 72)(12, 70)(13, 69)(14, 58)(15, 80)(16, 79)(17, 65)(18, 64)(19, 83)(20, 63)(21, 62)(22, 76)(23, 86)(24, 74)(25, 82)(26, 88)(27, 68)(28, 67)(29, 91)(30, 77)(31, 71)(32, 95)(33, 94)(34, 75)(35, 97)(36, 78)(37, 98)(38, 93)(39, 81)(40, 100)(41, 90)(42, 85)(43, 84)(44, 102)(45, 87)(46, 89)(47, 101)(48, 92)(49, 99)(50, 96)(51, 104)(52, 103)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 172)(112, 171)(113, 175)(114, 161)(115, 160)(116, 179)(117, 178)(118, 182)(119, 164)(120, 163)(121, 185)(122, 181)(123, 165)(124, 189)(125, 188)(126, 169)(127, 168)(128, 191)(129, 174)(130, 170)(131, 194)(132, 193)(133, 173)(134, 196)(135, 197)(136, 177)(137, 176)(138, 200)(139, 180)(140, 198)(141, 184)(142, 183)(143, 203)(144, 186)(145, 187)(146, 192)(147, 205)(148, 190)(149, 207)(150, 206)(151, 195)(152, 208)(153, 199)(154, 202)(155, 201)(156, 204)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1118
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1140 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 13, 26})
Quotient :: loop^2
Aut^+ = D52 (small group id <52, 4>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 53, 105, 157, 4, 56, 108, 160, 12, 64, 116, 168, 9, 61, 113, 165, 18, 70, 122, 174, 25, 77, 129, 181, 23, 75, 127, 179, 30, 82, 134, 186, 37, 89, 141, 193, 35, 87, 139, 191, 42, 94, 146, 198, 49, 101, 153, 205, 47, 99, 151, 203, 51, 103, 155, 207, 44, 96, 148, 200, 46, 98, 150, 202, 39, 91, 143, 195, 32, 84, 136, 188, 34, 86, 138, 190, 27, 79, 131, 183, 20, 72, 124, 176, 22, 74, 126, 178, 15, 67, 119, 171, 6, 58, 110, 162, 13, 65, 117, 169, 5, 57, 109, 161)(2, 54, 106, 158, 7, 59, 111, 163, 16, 68, 120, 172, 14, 66, 118, 170, 21, 73, 125, 177, 28, 80, 132, 184, 26, 78, 130, 182, 33, 85, 137, 189, 40, 92, 144, 196, 38, 90, 142, 194, 45, 97, 149, 201, 52, 104, 156, 208, 50, 102, 154, 206, 48, 100, 152, 204, 41, 93, 145, 197, 43, 95, 147, 199, 36, 88, 140, 192, 29, 81, 133, 185, 31, 83, 135, 187, 24, 76, 128, 180, 17, 69, 121, 173, 19, 71, 123, 175, 11, 63, 115, 167, 3, 55, 107, 159, 10, 62, 114, 166, 8, 60, 112, 164)
	L = (1, 54)(2, 53)(3, 61)(4, 60)(5, 59)(6, 66)(7, 57)(8, 56)(9, 55)(10, 64)(11, 70)(12, 62)(13, 68)(14, 58)(15, 73)(16, 65)(17, 75)(18, 63)(19, 77)(20, 78)(21, 67)(22, 80)(23, 69)(24, 82)(25, 71)(26, 72)(27, 85)(28, 74)(29, 87)(30, 76)(31, 89)(32, 90)(33, 79)(34, 92)(35, 81)(36, 94)(37, 83)(38, 84)(39, 97)(40, 86)(41, 99)(42, 88)(43, 101)(44, 102)(45, 91)(46, 104)(47, 93)(48, 103)(49, 95)(50, 96)(51, 100)(52, 98)(105, 159)(106, 162)(107, 157)(108, 167)(109, 166)(110, 158)(111, 171)(112, 169)(113, 173)(114, 161)(115, 160)(116, 175)(117, 164)(118, 176)(119, 163)(120, 178)(121, 165)(122, 180)(123, 168)(124, 170)(125, 183)(126, 172)(127, 185)(128, 174)(129, 187)(130, 188)(131, 177)(132, 190)(133, 179)(134, 192)(135, 181)(136, 182)(137, 195)(138, 184)(139, 197)(140, 186)(141, 199)(142, 200)(143, 189)(144, 202)(145, 191)(146, 204)(147, 193)(148, 194)(149, 207)(150, 196)(151, 208)(152, 198)(153, 206)(154, 205)(155, 201)(156, 203)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1120
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 6, 58)(4, 56, 7, 59)(5, 57, 8, 60)(9, 61, 13, 65)(10, 62, 14, 66)(11, 63, 15, 67)(12, 64, 16, 68)(17, 69, 21, 73)(18, 70, 22, 74)(19, 71, 23, 75)(20, 72, 24, 76)(25, 77, 29, 81)(26, 78, 30, 82)(27, 79, 31, 83)(28, 80, 32, 84)(33, 85, 37, 89)(34, 86, 38, 90)(35, 87, 39, 91)(36, 88, 40, 92)(41, 93, 45, 97)(42, 94, 46, 98)(43, 95, 47, 99)(44, 96, 48, 100)(49, 101, 51, 103)(50, 102, 52, 104)(105, 157, 107, 159, 113, 165, 121, 173, 129, 181, 137, 189, 145, 197, 148, 200, 140, 192, 132, 184, 124, 176, 116, 168, 109, 161)(106, 158, 110, 162, 117, 169, 125, 177, 133, 185, 141, 193, 149, 201, 152, 204, 144, 196, 136, 188, 128, 180, 120, 172, 112, 164)(108, 160, 114, 166, 122, 174, 130, 182, 138, 190, 146, 198, 153, 205, 154, 206, 147, 199, 139, 191, 131, 183, 123, 175, 115, 167)(111, 163, 118, 170, 126, 178, 134, 186, 142, 194, 150, 202, 155, 207, 156, 208, 151, 203, 143, 195, 135, 187, 127, 179, 119, 171)
	L = (1, 108)(2, 111)(3, 114)(4, 105)(5, 115)(6, 118)(7, 106)(8, 119)(9, 122)(10, 107)(11, 109)(12, 123)(13, 126)(14, 110)(15, 112)(16, 127)(17, 130)(18, 113)(19, 116)(20, 131)(21, 134)(22, 117)(23, 120)(24, 135)(25, 138)(26, 121)(27, 124)(28, 139)(29, 142)(30, 125)(31, 128)(32, 143)(33, 146)(34, 129)(35, 132)(36, 147)(37, 150)(38, 133)(39, 136)(40, 151)(41, 153)(42, 137)(43, 140)(44, 154)(45, 155)(46, 141)(47, 144)(48, 156)(49, 145)(50, 148)(51, 149)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1154
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, Y2^13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 8, 60)(4, 56, 7, 59)(5, 57, 6, 58)(9, 61, 16, 68)(10, 62, 15, 67)(11, 63, 14, 66)(12, 64, 13, 65)(17, 69, 24, 76)(18, 70, 23, 75)(19, 71, 22, 74)(20, 72, 21, 73)(25, 77, 32, 84)(26, 78, 31, 83)(27, 79, 30, 82)(28, 80, 29, 81)(33, 85, 40, 92)(34, 86, 39, 91)(35, 87, 38, 90)(36, 88, 37, 89)(41, 93, 48, 100)(42, 94, 47, 99)(43, 95, 46, 98)(44, 96, 45, 97)(49, 101, 52, 104)(50, 102, 51, 103)(105, 157, 107, 159, 113, 165, 121, 173, 129, 181, 137, 189, 145, 197, 148, 200, 140, 192, 132, 184, 124, 176, 116, 168, 109, 161)(106, 158, 110, 162, 117, 169, 125, 177, 133, 185, 141, 193, 149, 201, 152, 204, 144, 196, 136, 188, 128, 180, 120, 172, 112, 164)(108, 160, 114, 166, 122, 174, 130, 182, 138, 190, 146, 198, 153, 205, 154, 206, 147, 199, 139, 191, 131, 183, 123, 175, 115, 167)(111, 163, 118, 170, 126, 178, 134, 186, 142, 194, 150, 202, 155, 207, 156, 208, 151, 203, 143, 195, 135, 187, 127, 179, 119, 171)
	L = (1, 108)(2, 111)(3, 114)(4, 105)(5, 115)(6, 118)(7, 106)(8, 119)(9, 122)(10, 107)(11, 109)(12, 123)(13, 126)(14, 110)(15, 112)(16, 127)(17, 130)(18, 113)(19, 116)(20, 131)(21, 134)(22, 117)(23, 120)(24, 135)(25, 138)(26, 121)(27, 124)(28, 139)(29, 142)(30, 125)(31, 128)(32, 143)(33, 146)(34, 129)(35, 132)(36, 147)(37, 150)(38, 133)(39, 136)(40, 151)(41, 153)(42, 137)(43, 140)(44, 154)(45, 155)(46, 141)(47, 144)(48, 156)(49, 145)(50, 148)(51, 149)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1155
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, (Y2 * Y1)^2, (R * Y2)^2, Y3^-2 * Y2^11, Y3^-2 * Y2^4 * Y3^-1 * Y2 * Y3^-5, (Y2^-1 * Y3)^26 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 19, 71)(12, 64, 17, 69)(13, 65, 20, 72)(14, 66, 16, 68)(15, 67, 18, 70)(21, 73, 28, 80)(22, 74, 27, 79)(23, 75, 26, 78)(24, 76, 25, 77)(29, 81, 35, 87)(30, 82, 36, 88)(31, 83, 33, 85)(32, 84, 34, 86)(37, 89, 44, 96)(38, 90, 43, 95)(39, 91, 42, 94)(40, 92, 41, 93)(45, 97, 51, 103)(46, 98, 52, 104)(47, 99, 49, 101)(48, 100, 50, 102)(105, 157, 107, 159, 115, 167, 125, 177, 133, 185, 141, 193, 149, 201, 151, 203, 144, 196, 135, 187, 128, 180, 118, 170, 109, 161)(106, 158, 111, 163, 120, 172, 129, 181, 137, 189, 145, 197, 153, 205, 155, 207, 148, 200, 139, 191, 132, 184, 123, 175, 113, 165)(108, 160, 116, 168, 110, 162, 117, 169, 126, 178, 134, 186, 142, 194, 150, 202, 152, 204, 143, 195, 136, 188, 127, 179, 119, 171)(112, 164, 121, 173, 114, 166, 122, 174, 130, 182, 138, 190, 146, 198, 154, 206, 156, 208, 147, 199, 140, 192, 131, 183, 124, 176)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 121)(8, 123)(9, 124)(10, 106)(11, 110)(12, 109)(13, 107)(14, 127)(15, 128)(16, 114)(17, 113)(18, 111)(19, 131)(20, 132)(21, 117)(22, 115)(23, 135)(24, 136)(25, 122)(26, 120)(27, 139)(28, 140)(29, 126)(30, 125)(31, 143)(32, 144)(33, 130)(34, 129)(35, 147)(36, 148)(37, 134)(38, 133)(39, 151)(40, 152)(41, 138)(42, 137)(43, 155)(44, 156)(45, 142)(46, 141)(47, 150)(48, 149)(49, 146)(50, 145)(51, 154)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1165
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, Y2 * Y3^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-4, Y2^45 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 41, 93)(28, 80, 42, 94)(29, 81, 40, 92)(30, 82, 39, 91)(31, 83, 38, 90)(32, 84, 37, 89)(33, 85, 35, 87)(34, 86, 36, 88)(43, 95, 51, 103)(44, 96, 52, 104)(45, 97, 50, 102)(46, 98, 48, 100)(47, 99, 49, 101)(105, 157, 107, 159, 115, 167, 131, 183, 147, 199, 135, 187, 118, 170, 122, 174, 134, 186, 150, 202, 137, 189, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 139, 191, 152, 204, 143, 195, 126, 178, 130, 182, 142, 194, 155, 207, 145, 197, 128, 180, 113, 165)(108, 160, 116, 168, 132, 184, 148, 200, 151, 203, 138, 190, 121, 173, 110, 162, 117, 169, 133, 185, 149, 201, 136, 188, 119, 171)(112, 164, 124, 176, 140, 192, 153, 205, 156, 208, 146, 198, 129, 181, 114, 166, 125, 177, 141, 193, 154, 206, 144, 196, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 132)(12, 122)(13, 107)(14, 121)(15, 135)(16, 136)(17, 109)(18, 110)(19, 140)(20, 130)(21, 111)(22, 129)(23, 143)(24, 144)(25, 113)(26, 114)(27, 148)(28, 134)(29, 115)(30, 117)(31, 138)(32, 147)(33, 149)(34, 120)(35, 153)(36, 142)(37, 123)(38, 125)(39, 146)(40, 152)(41, 154)(42, 128)(43, 151)(44, 150)(45, 131)(46, 133)(47, 137)(48, 156)(49, 155)(50, 139)(51, 141)(52, 145)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1160
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2^-1 * Y3^4, (Y3^-1 * Y2^-3)^2, Y2^3 * Y3^-1 * Y2^4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 40, 92)(28, 80, 41, 93)(29, 81, 39, 91)(30, 82, 42, 94)(31, 83, 37, 89)(32, 84, 35, 87)(33, 85, 36, 88)(34, 86, 38, 90)(43, 95, 51, 103)(44, 96, 49, 101)(45, 97, 52, 104)(46, 98, 48, 100)(47, 99, 50, 102)(105, 157, 107, 159, 115, 167, 131, 183, 147, 199, 138, 190, 122, 174, 118, 170, 134, 186, 150, 202, 136, 188, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 139, 191, 152, 204, 146, 198, 130, 182, 126, 178, 142, 194, 155, 207, 144, 196, 128, 180, 113, 165)(108, 160, 116, 168, 132, 184, 148, 200, 137, 189, 121, 173, 110, 162, 117, 169, 133, 185, 149, 201, 151, 203, 135, 187, 119, 171)(112, 164, 124, 176, 140, 192, 153, 205, 145, 197, 129, 181, 114, 166, 125, 177, 141, 193, 154, 206, 156, 208, 143, 195, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 132)(12, 134)(13, 107)(14, 117)(15, 122)(16, 135)(17, 109)(18, 110)(19, 140)(20, 142)(21, 111)(22, 125)(23, 130)(24, 143)(25, 113)(26, 114)(27, 148)(28, 150)(29, 115)(30, 133)(31, 138)(32, 151)(33, 120)(34, 121)(35, 153)(36, 155)(37, 123)(38, 141)(39, 146)(40, 156)(41, 128)(42, 129)(43, 137)(44, 136)(45, 131)(46, 149)(47, 147)(48, 145)(49, 144)(50, 139)(51, 154)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1157
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2 * Y1)^2, Y2 * Y3 * Y2^2 * Y3, Y3^-8 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 37, 89)(28, 80, 36, 88)(29, 81, 38, 90)(30, 82, 34, 86)(31, 83, 33, 85)(32, 84, 35, 87)(39, 91, 49, 101)(40, 92, 48, 100)(41, 93, 50, 102)(42, 94, 46, 98)(43, 95, 45, 97)(44, 96, 47, 99)(51, 103, 52, 104)(105, 157, 107, 159, 115, 167, 122, 174, 132, 184, 143, 195, 148, 200, 145, 197, 147, 199, 134, 186, 118, 170, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 130, 182, 138, 190, 149, 201, 154, 206, 151, 203, 153, 205, 140, 192, 126, 178, 128, 180, 113, 165)(108, 160, 116, 168, 121, 173, 110, 162, 117, 169, 131, 183, 136, 188, 144, 196, 155, 207, 146, 198, 133, 185, 135, 187, 119, 171)(112, 164, 124, 176, 129, 181, 114, 166, 125, 177, 137, 189, 142, 194, 150, 202, 156, 208, 152, 204, 139, 191, 141, 193, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 121)(12, 120)(13, 107)(14, 133)(15, 134)(16, 135)(17, 109)(18, 110)(19, 129)(20, 128)(21, 111)(22, 139)(23, 140)(24, 141)(25, 113)(26, 114)(27, 115)(28, 117)(29, 145)(30, 146)(31, 147)(32, 122)(33, 123)(34, 125)(35, 151)(36, 152)(37, 153)(38, 130)(39, 131)(40, 132)(41, 144)(42, 148)(43, 155)(44, 136)(45, 137)(46, 138)(47, 150)(48, 154)(49, 156)(50, 142)(51, 143)(52, 149)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1161
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^-2 * Y2^3, Y2 * Y3^8 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 36, 88)(28, 80, 37, 89)(29, 81, 38, 90)(30, 82, 33, 85)(31, 83, 34, 86)(32, 84, 35, 87)(39, 91, 48, 100)(40, 92, 49, 101)(41, 93, 50, 102)(42, 94, 45, 97)(43, 95, 46, 98)(44, 96, 47, 99)(51, 103, 52, 104)(105, 157, 107, 159, 115, 167, 118, 170, 132, 184, 143, 195, 145, 197, 148, 200, 146, 198, 135, 187, 122, 174, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 126, 178, 138, 190, 149, 201, 151, 203, 154, 206, 152, 204, 141, 193, 130, 182, 128, 180, 113, 165)(108, 160, 116, 168, 131, 183, 133, 185, 144, 196, 155, 207, 147, 199, 136, 188, 134, 186, 121, 173, 110, 162, 117, 169, 119, 171)(112, 164, 124, 176, 137, 189, 139, 191, 150, 202, 156, 208, 153, 205, 142, 194, 140, 192, 129, 181, 114, 166, 125, 177, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 131)(12, 132)(13, 107)(14, 133)(15, 115)(16, 117)(17, 109)(18, 110)(19, 137)(20, 138)(21, 111)(22, 139)(23, 123)(24, 125)(25, 113)(26, 114)(27, 143)(28, 144)(29, 145)(30, 120)(31, 121)(32, 122)(33, 149)(34, 150)(35, 151)(36, 128)(37, 129)(38, 130)(39, 155)(40, 148)(41, 147)(42, 134)(43, 135)(44, 136)(45, 156)(46, 154)(47, 153)(48, 140)(49, 141)(50, 142)(51, 146)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1164
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, Y2^13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 17, 69)(12, 64, 18, 70)(13, 65, 15, 67)(14, 66, 16, 68)(19, 71, 25, 77)(20, 72, 26, 78)(21, 73, 23, 75)(22, 74, 24, 76)(27, 79, 33, 85)(28, 80, 34, 86)(29, 81, 31, 83)(30, 82, 32, 84)(35, 87, 41, 93)(36, 88, 42, 94)(37, 89, 39, 91)(38, 90, 40, 92)(43, 95, 49, 101)(44, 96, 50, 102)(45, 97, 47, 99)(46, 98, 48, 100)(51, 103, 52, 104)(105, 157, 107, 159, 115, 167, 123, 175, 131, 183, 139, 191, 147, 199, 149, 201, 141, 193, 133, 185, 125, 177, 117, 169, 109, 161)(106, 158, 111, 163, 119, 171, 127, 179, 135, 187, 143, 195, 151, 203, 153, 205, 145, 197, 137, 189, 129, 181, 121, 173, 113, 165)(108, 160, 116, 168, 124, 176, 132, 184, 140, 192, 148, 200, 155, 207, 150, 202, 142, 194, 134, 186, 126, 178, 118, 170, 110, 162)(112, 164, 120, 172, 128, 180, 136, 188, 144, 196, 152, 204, 156, 208, 154, 206, 146, 198, 138, 190, 130, 182, 122, 174, 114, 166)
	L = (1, 108)(2, 112)(3, 116)(4, 107)(5, 110)(6, 105)(7, 120)(8, 111)(9, 114)(10, 106)(11, 124)(12, 115)(13, 118)(14, 109)(15, 128)(16, 119)(17, 122)(18, 113)(19, 132)(20, 123)(21, 126)(22, 117)(23, 136)(24, 127)(25, 130)(26, 121)(27, 140)(28, 131)(29, 134)(30, 125)(31, 144)(32, 135)(33, 138)(34, 129)(35, 148)(36, 139)(37, 142)(38, 133)(39, 152)(40, 143)(41, 146)(42, 137)(43, 155)(44, 147)(45, 150)(46, 141)(47, 156)(48, 151)(49, 154)(50, 145)(51, 149)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1156
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^13, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 18, 70)(12, 64, 17, 69)(13, 65, 16, 68)(14, 66, 15, 67)(19, 71, 26, 78)(20, 72, 25, 77)(21, 73, 24, 76)(22, 74, 23, 75)(27, 79, 34, 86)(28, 80, 33, 85)(29, 81, 32, 84)(30, 82, 31, 83)(35, 87, 42, 94)(36, 88, 41, 93)(37, 89, 40, 92)(38, 90, 39, 91)(43, 95, 50, 102)(44, 96, 49, 101)(45, 97, 48, 100)(46, 98, 47, 99)(51, 103, 52, 104)(105, 157, 107, 159, 115, 167, 123, 175, 131, 183, 139, 191, 147, 199, 150, 202, 142, 194, 134, 186, 126, 178, 118, 170, 109, 161)(106, 158, 111, 163, 119, 171, 127, 179, 135, 187, 143, 195, 151, 203, 154, 206, 146, 198, 138, 190, 130, 182, 122, 174, 113, 165)(108, 160, 110, 162, 116, 168, 124, 176, 132, 184, 140, 192, 148, 200, 155, 207, 149, 201, 141, 193, 133, 185, 125, 177, 117, 169)(112, 164, 114, 166, 120, 172, 128, 180, 136, 188, 144, 196, 152, 204, 156, 208, 153, 205, 145, 197, 137, 189, 129, 181, 121, 173)
	L = (1, 108)(2, 112)(3, 110)(4, 109)(5, 117)(6, 105)(7, 114)(8, 113)(9, 121)(10, 106)(11, 116)(12, 107)(13, 118)(14, 125)(15, 120)(16, 111)(17, 122)(18, 129)(19, 124)(20, 115)(21, 126)(22, 133)(23, 128)(24, 119)(25, 130)(26, 137)(27, 132)(28, 123)(29, 134)(30, 141)(31, 136)(32, 127)(33, 138)(34, 145)(35, 140)(36, 131)(37, 142)(38, 149)(39, 144)(40, 135)(41, 146)(42, 153)(43, 148)(44, 139)(45, 150)(46, 155)(47, 152)(48, 143)(49, 154)(50, 156)(51, 147)(52, 151)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1158
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^4 * Y3^-1 * Y2 * Y3^-1, Y3^2 * Y2 * Y3^2 * Y2^2, Y3 * Y2^-1 * Y3^4 * Y2^-1 * Y3, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 47, 99)(28, 80, 48, 100)(29, 81, 46, 98)(30, 82, 49, 101)(31, 83, 45, 97)(32, 84, 50, 102)(33, 85, 43, 95)(34, 86, 41, 93)(35, 87, 39, 91)(36, 88, 40, 92)(37, 89, 42, 94)(38, 90, 44, 96)(51, 103, 52, 104)(105, 157, 107, 159, 115, 167, 131, 183, 137, 189, 118, 170, 134, 186, 141, 193, 122, 174, 135, 187, 139, 191, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 143, 195, 149, 201, 126, 178, 146, 198, 153, 205, 130, 182, 147, 199, 151, 203, 128, 180, 113, 165)(108, 160, 116, 168, 132, 184, 142, 194, 155, 207, 136, 188, 140, 192, 121, 173, 110, 162, 117, 169, 133, 185, 138, 190, 119, 171)(112, 164, 124, 176, 144, 196, 154, 206, 156, 208, 148, 200, 152, 204, 129, 181, 114, 166, 125, 177, 145, 197, 150, 202, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 137)(16, 138)(17, 109)(18, 110)(19, 144)(20, 146)(21, 111)(22, 148)(23, 149)(24, 150)(25, 113)(26, 114)(27, 142)(28, 141)(29, 115)(30, 140)(31, 117)(32, 139)(33, 155)(34, 131)(35, 133)(36, 120)(37, 121)(38, 122)(39, 154)(40, 153)(41, 123)(42, 152)(43, 125)(44, 151)(45, 156)(46, 143)(47, 145)(48, 128)(49, 129)(50, 130)(51, 135)(52, 147)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1166
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-2 * Y3^3, Y2^-5 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 47, 99)(28, 80, 48, 100)(29, 81, 46, 98)(30, 82, 49, 101)(31, 83, 45, 97)(32, 84, 50, 102)(33, 85, 43, 95)(34, 86, 41, 93)(35, 87, 39, 91)(36, 88, 40, 92)(37, 89, 42, 94)(38, 90, 44, 96)(51, 103, 52, 104)(105, 157, 107, 159, 115, 167, 131, 183, 141, 193, 122, 174, 135, 187, 137, 189, 118, 170, 134, 186, 139, 191, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 143, 195, 153, 205, 130, 182, 147, 199, 149, 201, 126, 178, 146, 198, 151, 203, 128, 180, 113, 165)(108, 160, 116, 168, 132, 184, 140, 192, 121, 173, 110, 162, 117, 169, 133, 185, 136, 188, 155, 207, 142, 194, 138, 190, 119, 171)(112, 164, 124, 176, 144, 196, 152, 204, 129, 181, 114, 166, 125, 177, 145, 197, 148, 200, 156, 208, 154, 206, 150, 202, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 137)(16, 138)(17, 109)(18, 110)(19, 144)(20, 146)(21, 111)(22, 148)(23, 149)(24, 150)(25, 113)(26, 114)(27, 140)(28, 139)(29, 115)(30, 155)(31, 117)(32, 131)(33, 133)(34, 135)(35, 142)(36, 120)(37, 121)(38, 122)(39, 152)(40, 151)(41, 123)(42, 156)(43, 125)(44, 143)(45, 145)(46, 147)(47, 154)(48, 128)(49, 129)(50, 130)(51, 141)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1163
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y3^4, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-2 * Y2, Y2^-1 * Y3^-3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 39, 91)(28, 80, 37, 89)(29, 81, 43, 95)(30, 82, 36, 88)(31, 83, 42, 94)(32, 84, 44, 96)(33, 85, 40, 92)(34, 86, 38, 90)(35, 87, 41, 93)(45, 97, 51, 103)(46, 98, 52, 104)(47, 99, 49, 101)(48, 100, 50, 102)(105, 157, 107, 159, 115, 167, 131, 183, 122, 174, 135, 187, 150, 202, 152, 204, 137, 189, 118, 170, 134, 186, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 140, 192, 130, 182, 144, 196, 154, 206, 156, 208, 146, 198, 126, 178, 143, 195, 128, 180, 113, 165)(108, 160, 116, 168, 132, 184, 121, 173, 110, 162, 117, 169, 133, 185, 149, 201, 139, 191, 136, 188, 151, 203, 138, 190, 119, 171)(112, 164, 124, 176, 141, 193, 129, 181, 114, 166, 125, 177, 142, 194, 153, 205, 148, 200, 145, 197, 155, 207, 147, 199, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 137)(16, 138)(17, 109)(18, 110)(19, 141)(20, 143)(21, 111)(22, 145)(23, 146)(24, 147)(25, 113)(26, 114)(27, 121)(28, 120)(29, 115)(30, 151)(31, 117)(32, 135)(33, 139)(34, 152)(35, 122)(36, 129)(37, 128)(38, 123)(39, 155)(40, 125)(41, 144)(42, 148)(43, 156)(44, 130)(45, 131)(46, 133)(47, 150)(48, 149)(49, 140)(50, 142)(51, 154)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1159
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-3 * Y3, Y3^2 * Y2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 9, 61)(4, 56, 10, 62)(5, 57, 7, 59)(6, 58, 8, 60)(11, 63, 24, 76)(12, 64, 25, 77)(13, 65, 23, 75)(14, 66, 26, 78)(15, 67, 21, 73)(16, 68, 19, 71)(17, 69, 20, 72)(18, 70, 22, 74)(27, 79, 40, 92)(28, 80, 42, 94)(29, 81, 38, 90)(30, 82, 43, 95)(31, 83, 36, 88)(32, 84, 44, 96)(33, 85, 37, 89)(34, 86, 39, 91)(35, 87, 41, 93)(45, 97, 51, 103)(46, 98, 52, 104)(47, 99, 49, 101)(48, 100, 50, 102)(105, 157, 107, 159, 115, 167, 131, 183, 118, 170, 134, 186, 150, 202, 152, 204, 138, 190, 122, 174, 135, 187, 120, 172, 109, 161)(106, 158, 111, 163, 123, 175, 140, 192, 126, 178, 143, 195, 154, 206, 156, 208, 147, 199, 130, 182, 144, 196, 128, 180, 113, 165)(108, 160, 116, 168, 132, 184, 149, 201, 136, 188, 139, 191, 151, 203, 137, 189, 121, 173, 110, 162, 117, 169, 133, 185, 119, 171)(112, 164, 124, 176, 141, 193, 153, 205, 145, 197, 148, 200, 155, 207, 146, 198, 129, 181, 114, 166, 125, 177, 142, 194, 127, 179)
	L = (1, 108)(2, 112)(3, 116)(4, 118)(5, 119)(6, 105)(7, 124)(8, 126)(9, 127)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 131)(16, 133)(17, 109)(18, 110)(19, 141)(20, 143)(21, 111)(22, 145)(23, 140)(24, 142)(25, 113)(26, 114)(27, 149)(28, 150)(29, 115)(30, 139)(31, 117)(32, 138)(33, 120)(34, 121)(35, 122)(36, 153)(37, 154)(38, 123)(39, 148)(40, 125)(41, 147)(42, 128)(43, 129)(44, 130)(45, 152)(46, 151)(47, 135)(48, 137)(49, 156)(50, 155)(51, 144)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1162
Graph:: simple bipartite
	v = 30 e = 104 f = 28
	degree seq :: [ 4^26, 26^4 ]

E24.1154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y3 * Y2 * Y1^-2 * Y2 * Y3 * Y1^2, Y3 * Y1^-13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 43, 95, 35, 87, 27, 79, 19, 71, 11, 63, 4, 56, 8, 60, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57)(3, 55, 7, 59, 14, 66, 22, 74, 30, 82, 38, 90, 46, 98, 51, 103, 49, 101, 41, 93, 33, 85, 25, 77, 17, 69, 9, 61, 16, 68, 24, 76, 32, 84, 40, 92, 48, 100, 52, 104, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70, 10, 62)(105, 157, 107, 159)(106, 158, 111, 163)(108, 160, 113, 165)(109, 161, 114, 166)(110, 162, 118, 170)(112, 164, 120, 172)(115, 167, 121, 173)(116, 168, 122, 174)(117, 169, 126, 178)(119, 171, 128, 180)(123, 175, 129, 181)(124, 176, 130, 182)(125, 177, 134, 186)(127, 179, 136, 188)(131, 183, 137, 189)(132, 184, 138, 190)(133, 185, 142, 194)(135, 187, 144, 196)(139, 191, 145, 197)(140, 192, 146, 198)(141, 193, 150, 202)(143, 195, 152, 204)(147, 199, 153, 205)(148, 200, 154, 206)(149, 201, 155, 207)(151, 203, 156, 208)
	L = (1, 108)(2, 112)(3, 113)(4, 105)(5, 115)(6, 119)(7, 120)(8, 106)(9, 107)(10, 121)(11, 109)(12, 123)(13, 127)(14, 128)(15, 110)(16, 111)(17, 114)(18, 129)(19, 116)(20, 131)(21, 135)(22, 136)(23, 117)(24, 118)(25, 122)(26, 137)(27, 124)(28, 139)(29, 143)(30, 144)(31, 125)(32, 126)(33, 130)(34, 145)(35, 132)(36, 147)(37, 151)(38, 152)(39, 133)(40, 134)(41, 138)(42, 153)(43, 140)(44, 149)(45, 148)(46, 156)(47, 141)(48, 142)(49, 146)(50, 155)(51, 154)(52, 150)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1141
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, Y3 * Y1^-13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 43, 95, 35, 87, 27, 79, 19, 71, 11, 63, 4, 56, 8, 60, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57)(3, 55, 9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 49, 101, 52, 104, 48, 100, 40, 92, 32, 84, 24, 76, 16, 68, 10, 62, 18, 70, 26, 78, 34, 86, 42, 94, 50, 102, 51, 103, 46, 98, 38, 90, 30, 82, 22, 74, 14, 66, 7, 59)(105, 157, 107, 159)(106, 158, 111, 163)(108, 160, 114, 166)(109, 161, 113, 165)(110, 162, 118, 170)(112, 164, 120, 172)(115, 167, 122, 174)(116, 168, 121, 173)(117, 169, 126, 178)(119, 171, 128, 180)(123, 175, 130, 182)(124, 176, 129, 181)(125, 177, 134, 186)(127, 179, 136, 188)(131, 183, 138, 190)(132, 184, 137, 189)(133, 185, 142, 194)(135, 187, 144, 196)(139, 191, 146, 198)(140, 192, 145, 197)(141, 193, 150, 202)(143, 195, 152, 204)(147, 199, 154, 206)(148, 200, 153, 205)(149, 201, 155, 207)(151, 203, 156, 208)
	L = (1, 108)(2, 112)(3, 114)(4, 105)(5, 115)(6, 119)(7, 120)(8, 106)(9, 122)(10, 107)(11, 109)(12, 123)(13, 127)(14, 128)(15, 110)(16, 111)(17, 130)(18, 113)(19, 116)(20, 131)(21, 135)(22, 136)(23, 117)(24, 118)(25, 138)(26, 121)(27, 124)(28, 139)(29, 143)(30, 144)(31, 125)(32, 126)(33, 146)(34, 129)(35, 132)(36, 147)(37, 151)(38, 152)(39, 133)(40, 134)(41, 154)(42, 137)(43, 140)(44, 149)(45, 148)(46, 156)(47, 141)(48, 142)(49, 155)(50, 145)(51, 153)(52, 150)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1142
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^13, Y1^26 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 5, 57, 9, 61, 13, 65, 17, 69, 21, 73, 25, 77, 29, 81, 33, 85, 37, 89, 41, 93, 45, 97, 49, 101, 48, 100, 44, 96, 40, 92, 36, 88, 32, 84, 28, 80, 24, 76, 20, 72, 16, 68, 12, 64, 8, 60, 4, 56)(3, 55, 7, 59, 11, 63, 15, 67, 19, 71, 23, 75, 27, 79, 31, 83, 35, 87, 39, 91, 43, 95, 47, 99, 51, 103, 52, 104, 50, 102, 46, 98, 42, 94, 38, 90, 34, 86, 30, 82, 26, 78, 22, 74, 18, 70, 14, 66, 10, 62, 6, 58)(105, 157, 107, 159)(106, 158, 110, 162)(108, 160, 111, 163)(109, 161, 114, 166)(112, 164, 115, 167)(113, 165, 118, 170)(116, 168, 119, 171)(117, 169, 122, 174)(120, 172, 123, 175)(121, 173, 126, 178)(124, 176, 127, 179)(125, 177, 130, 182)(128, 180, 131, 183)(129, 181, 134, 186)(132, 184, 135, 187)(133, 185, 138, 190)(136, 188, 139, 191)(137, 189, 142, 194)(140, 192, 143, 195)(141, 193, 146, 198)(144, 196, 147, 199)(145, 197, 150, 202)(148, 200, 151, 203)(149, 201, 154, 206)(152, 204, 155, 207)(153, 205, 156, 208)
	L = (1, 106)(2, 109)(3, 111)(4, 105)(5, 113)(6, 107)(7, 115)(8, 108)(9, 117)(10, 110)(11, 119)(12, 112)(13, 121)(14, 114)(15, 123)(16, 116)(17, 125)(18, 118)(19, 127)(20, 120)(21, 129)(22, 122)(23, 131)(24, 124)(25, 133)(26, 126)(27, 135)(28, 128)(29, 137)(30, 130)(31, 139)(32, 132)(33, 141)(34, 134)(35, 143)(36, 136)(37, 145)(38, 138)(39, 147)(40, 140)(41, 149)(42, 142)(43, 151)(44, 144)(45, 153)(46, 146)(47, 155)(48, 148)(49, 152)(50, 150)(51, 156)(52, 154)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1148
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y1 * Y3^-1, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1^2 * Y2, Y1^-3 * Y3 * Y1^-6, (Y1^-1 * Y3^-1)^13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 17, 69, 29, 81, 41, 93, 38, 90, 26, 78, 14, 66, 4, 56, 9, 61, 19, 71, 31, 83, 43, 95, 40, 92, 28, 80, 16, 68, 6, 58, 10, 62, 20, 72, 32, 84, 44, 96, 39, 91, 27, 79, 15, 67, 5, 57)(3, 55, 11, 63, 23, 75, 35, 87, 47, 99, 51, 103, 45, 97, 33, 85, 21, 73, 12, 64, 24, 76, 36, 88, 48, 100, 52, 104, 46, 98, 34, 86, 22, 74, 13, 65, 25, 77, 37, 89, 49, 101, 50, 102, 42, 94, 30, 82, 18, 70, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 122, 174)(113, 165, 126, 178)(114, 166, 125, 177)(118, 170, 129, 181)(119, 171, 127, 179)(120, 172, 128, 180)(121, 173, 134, 186)(123, 175, 138, 190)(124, 176, 137, 189)(130, 182, 141, 193)(131, 183, 139, 191)(132, 184, 140, 192)(133, 185, 146, 198)(135, 187, 150, 202)(136, 188, 149, 201)(142, 194, 153, 205)(143, 195, 151, 203)(144, 196, 152, 204)(145, 197, 154, 206)(147, 199, 156, 208)(148, 200, 155, 207)
	L = (1, 108)(2, 113)(3, 116)(4, 114)(5, 118)(6, 105)(7, 123)(8, 125)(9, 124)(10, 106)(11, 128)(12, 129)(13, 107)(14, 110)(15, 130)(16, 109)(17, 135)(18, 137)(19, 136)(20, 111)(21, 117)(22, 112)(23, 140)(24, 141)(25, 115)(26, 120)(27, 142)(28, 119)(29, 147)(30, 149)(31, 148)(32, 121)(33, 126)(34, 122)(35, 152)(36, 153)(37, 127)(38, 132)(39, 145)(40, 131)(41, 144)(42, 155)(43, 143)(44, 133)(45, 138)(46, 134)(47, 156)(48, 154)(49, 139)(50, 151)(51, 150)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1145
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y3^-2, (Y3^-1, Y1^-1), (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-5 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^4 * Y3 * Y2 * Y1 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 17, 69, 29, 81, 41, 93, 38, 90, 26, 78, 14, 66, 6, 58, 10, 62, 20, 72, 32, 84, 44, 96, 39, 91, 27, 79, 15, 67, 4, 56, 9, 61, 19, 71, 31, 83, 43, 95, 40, 92, 28, 80, 16, 68, 5, 57)(3, 55, 11, 63, 23, 75, 35, 87, 47, 99, 52, 104, 46, 98, 34, 86, 22, 74, 13, 65, 25, 77, 37, 89, 49, 101, 51, 103, 45, 97, 33, 85, 21, 73, 12, 64, 24, 76, 36, 88, 48, 100, 50, 102, 42, 94, 30, 82, 18, 70, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 122, 174)(113, 165, 126, 178)(114, 166, 125, 177)(118, 170, 128, 180)(119, 171, 129, 181)(120, 172, 127, 179)(121, 173, 134, 186)(123, 175, 138, 190)(124, 176, 137, 189)(130, 182, 140, 192)(131, 183, 141, 193)(132, 184, 139, 191)(133, 185, 146, 198)(135, 187, 150, 202)(136, 188, 149, 201)(142, 194, 152, 204)(143, 195, 153, 205)(144, 196, 151, 203)(145, 197, 154, 206)(147, 199, 156, 208)(148, 200, 155, 207)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 123)(8, 125)(9, 110)(10, 106)(11, 128)(12, 126)(13, 107)(14, 109)(15, 130)(16, 131)(17, 135)(18, 137)(19, 114)(20, 111)(21, 138)(22, 112)(23, 140)(24, 117)(25, 115)(26, 120)(27, 142)(28, 143)(29, 147)(30, 149)(31, 124)(32, 121)(33, 150)(34, 122)(35, 152)(36, 129)(37, 127)(38, 132)(39, 145)(40, 148)(41, 144)(42, 155)(43, 136)(44, 133)(45, 156)(46, 134)(47, 154)(48, 141)(49, 139)(50, 153)(51, 151)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1149
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|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^-1 * Y1^-5, Y3^4 * Y1^-1 * Y3, (Y2 * Y3 * Y1)^2, Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 19, 71, 17, 69, 6, 58, 10, 62, 22, 74, 36, 88, 34, 86, 18, 70, 26, 78, 40, 92, 48, 100, 46, 98, 32, 84, 14, 66, 25, 77, 39, 91, 33, 85, 15, 67, 4, 56, 9, 61, 21, 73, 16, 68, 5, 57)(3, 55, 11, 63, 27, 79, 38, 90, 24, 76, 13, 65, 29, 81, 43, 95, 50, 102, 42, 94, 31, 83, 45, 97, 51, 103, 52, 104, 49, 101, 41, 93, 30, 82, 44, 96, 47, 99, 37, 89, 23, 75, 12, 64, 28, 80, 35, 87, 20, 72, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 124, 176)(113, 165, 128, 180)(114, 166, 127, 179)(118, 170, 135, 187)(119, 171, 133, 185)(120, 172, 131, 183)(121, 173, 132, 184)(122, 174, 134, 186)(123, 175, 139, 191)(125, 177, 142, 194)(126, 178, 141, 193)(129, 181, 146, 198)(130, 182, 145, 197)(136, 188, 149, 201)(137, 189, 147, 199)(138, 190, 148, 200)(140, 192, 151, 203)(143, 195, 154, 206)(144, 196, 153, 205)(150, 202, 155, 207)(152, 204, 156, 208)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 125)(8, 127)(9, 129)(10, 106)(11, 132)(12, 134)(13, 107)(14, 130)(15, 136)(16, 137)(17, 109)(18, 110)(19, 120)(20, 141)(21, 143)(22, 111)(23, 145)(24, 112)(25, 144)(26, 114)(27, 139)(28, 148)(29, 115)(30, 149)(31, 117)(32, 122)(33, 150)(34, 121)(35, 151)(36, 123)(37, 153)(38, 124)(39, 152)(40, 126)(41, 135)(42, 128)(43, 131)(44, 155)(45, 133)(46, 138)(47, 156)(48, 140)(49, 146)(50, 142)(51, 147)(52, 154)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1152
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|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^-3 * Y1^-1 * Y3^-2, Y1^-1 * Y3 * Y1^-4, (Y2 * Y3^-1 * Y1)^2, Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 19, 71, 15, 67, 4, 56, 9, 61, 21, 73, 36, 88, 33, 85, 14, 66, 25, 77, 39, 91, 48, 100, 46, 98, 32, 84, 18, 70, 26, 78, 40, 92, 34, 86, 17, 69, 6, 58, 10, 62, 22, 74, 16, 68, 5, 57)(3, 55, 11, 63, 27, 79, 37, 89, 23, 75, 12, 64, 28, 80, 43, 95, 49, 101, 41, 93, 30, 82, 44, 96, 51, 103, 52, 104, 50, 102, 42, 94, 31, 83, 45, 97, 47, 99, 38, 90, 24, 76, 13, 65, 29, 81, 35, 87, 20, 72, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 124, 176)(113, 165, 128, 180)(114, 166, 127, 179)(118, 170, 135, 187)(119, 171, 133, 185)(120, 172, 131, 183)(121, 173, 132, 184)(122, 174, 134, 186)(123, 175, 139, 191)(125, 177, 142, 194)(126, 178, 141, 193)(129, 181, 146, 198)(130, 182, 145, 197)(136, 188, 148, 200)(137, 189, 149, 201)(138, 190, 147, 199)(140, 192, 151, 203)(143, 195, 154, 206)(144, 196, 153, 205)(150, 202, 155, 207)(152, 204, 156, 208)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 125)(8, 127)(9, 129)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 137)(16, 123)(17, 109)(18, 110)(19, 140)(20, 141)(21, 143)(22, 111)(23, 145)(24, 112)(25, 122)(26, 114)(27, 147)(28, 148)(29, 115)(30, 146)(31, 117)(32, 121)(33, 150)(34, 120)(35, 131)(36, 152)(37, 153)(38, 124)(39, 130)(40, 126)(41, 154)(42, 128)(43, 155)(44, 135)(45, 133)(46, 138)(47, 139)(48, 144)(49, 156)(50, 142)(51, 149)(52, 151)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1144
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-3 * Y3, (R * Y2 * Y3^-1)^2, Y3^-6 * Y1 * 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 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 19, 71, 14, 66, 25, 77, 40, 92, 35, 87, 44, 96, 33, 85, 17, 69, 6, 58, 10, 62, 22, 74, 15, 67, 4, 56, 9, 61, 21, 73, 37, 89, 32, 84, 43, 95, 34, 86, 18, 70, 26, 78, 16, 68, 5, 57)(3, 55, 11, 63, 27, 79, 41, 93, 30, 82, 46, 98, 52, 104, 48, 100, 49, 101, 39, 91, 24, 76, 13, 65, 29, 81, 38, 90, 23, 75, 12, 64, 28, 80, 45, 97, 51, 103, 47, 99, 50, 102, 42, 94, 31, 83, 36, 88, 20, 72, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 124, 176)(113, 165, 128, 180)(114, 166, 127, 179)(118, 170, 135, 187)(119, 171, 133, 185)(120, 172, 131, 183)(121, 173, 132, 184)(122, 174, 134, 186)(123, 175, 140, 192)(125, 177, 143, 195)(126, 178, 142, 194)(129, 181, 146, 198)(130, 182, 145, 197)(136, 188, 152, 204)(137, 189, 149, 201)(138, 190, 150, 202)(139, 191, 151, 203)(141, 193, 153, 205)(144, 196, 154, 206)(147, 199, 156, 208)(148, 200, 155, 207)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 125)(8, 127)(9, 129)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 123)(16, 126)(17, 109)(18, 110)(19, 141)(20, 142)(21, 144)(22, 111)(23, 145)(24, 112)(25, 147)(26, 114)(27, 149)(28, 150)(29, 115)(30, 151)(31, 117)(32, 148)(33, 120)(34, 121)(35, 122)(36, 133)(37, 139)(38, 131)(39, 124)(40, 138)(41, 155)(42, 128)(43, 137)(44, 130)(45, 156)(46, 154)(47, 153)(48, 135)(49, 140)(50, 143)(51, 152)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1146
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 19, 71, 18, 70, 26, 78, 40, 92, 32, 84, 43, 95, 34, 86, 15, 67, 4, 56, 9, 61, 21, 73, 17, 69, 6, 58, 10, 62, 22, 74, 37, 89, 35, 87, 44, 96, 33, 85, 14, 66, 25, 77, 16, 68, 5, 57)(3, 55, 11, 63, 27, 79, 42, 94, 31, 83, 46, 98, 51, 103, 47, 99, 49, 101, 38, 90, 23, 75, 12, 64, 28, 80, 39, 91, 24, 76, 13, 65, 29, 81, 45, 97, 52, 104, 48, 100, 50, 102, 41, 93, 30, 82, 36, 88, 20, 72, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 124, 176)(113, 165, 128, 180)(114, 166, 127, 179)(118, 170, 135, 187)(119, 171, 133, 185)(120, 172, 131, 183)(121, 173, 132, 184)(122, 174, 134, 186)(123, 175, 140, 192)(125, 177, 143, 195)(126, 178, 142, 194)(129, 181, 146, 198)(130, 182, 145, 197)(136, 188, 152, 204)(137, 189, 150, 202)(138, 190, 149, 201)(139, 191, 151, 203)(141, 193, 153, 205)(144, 196, 154, 206)(147, 199, 156, 208)(148, 200, 155, 207)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 125)(8, 127)(9, 129)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 137)(16, 138)(17, 109)(18, 110)(19, 121)(20, 142)(21, 120)(22, 111)(23, 145)(24, 112)(25, 147)(26, 114)(27, 143)(28, 140)(29, 115)(30, 151)(31, 117)(32, 141)(33, 144)(34, 148)(35, 122)(36, 153)(37, 123)(38, 154)(39, 124)(40, 126)(41, 155)(42, 128)(43, 139)(44, 130)(45, 131)(46, 133)(47, 156)(48, 135)(49, 152)(50, 150)(51, 149)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1153
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-3, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^8, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 4, 56, 9, 61, 18, 70, 14, 66, 21, 73, 30, 82, 26, 78, 33, 85, 42, 94, 38, 90, 45, 97, 40, 92, 46, 98, 39, 91, 28, 80, 34, 86, 27, 79, 16, 68, 22, 74, 15, 67, 6, 58, 10, 62, 5, 57)(3, 55, 11, 63, 19, 71, 12, 64, 23, 75, 31, 83, 24, 76, 35, 87, 43, 95, 36, 88, 47, 99, 51, 103, 48, 100, 52, 104, 49, 101, 50, 102, 44, 96, 37, 89, 41, 93, 32, 84, 25, 77, 29, 81, 20, 72, 13, 65, 17, 69, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 121, 173)(113, 165, 124, 176)(114, 166, 123, 175)(118, 170, 129, 181)(119, 171, 127, 179)(120, 172, 128, 180)(122, 174, 133, 185)(125, 177, 136, 188)(126, 178, 135, 187)(130, 182, 141, 193)(131, 183, 139, 191)(132, 184, 140, 192)(134, 186, 145, 197)(137, 189, 148, 200)(138, 190, 147, 199)(142, 194, 153, 205)(143, 195, 151, 203)(144, 196, 152, 204)(146, 198, 154, 206)(149, 201, 156, 208)(150, 202, 155, 207)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 111)(6, 105)(7, 122)(8, 123)(9, 125)(10, 106)(11, 127)(12, 128)(13, 107)(14, 130)(15, 109)(16, 110)(17, 115)(18, 134)(19, 135)(20, 112)(21, 137)(22, 114)(23, 139)(24, 140)(25, 117)(26, 142)(27, 119)(28, 120)(29, 121)(30, 146)(31, 147)(32, 124)(33, 149)(34, 126)(35, 151)(36, 152)(37, 129)(38, 150)(39, 131)(40, 132)(41, 133)(42, 144)(43, 155)(44, 136)(45, 143)(46, 138)(47, 156)(48, 154)(49, 141)(50, 145)(51, 153)(52, 148)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1151
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-3, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-1 * Y3^4 * Y1, (Y3^4 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 6, 58, 10, 62, 18, 70, 16, 68, 22, 74, 30, 82, 28, 80, 34, 86, 42, 94, 40, 92, 46, 98, 38, 90, 45, 97, 39, 91, 26, 78, 33, 85, 27, 79, 14, 66, 21, 73, 15, 67, 4, 56, 9, 61, 5, 57)(3, 55, 11, 63, 20, 72, 13, 65, 23, 75, 32, 84, 25, 77, 35, 87, 44, 96, 37, 89, 47, 99, 52, 104, 49, 101, 51, 103, 48, 100, 50, 102, 43, 95, 36, 88, 41, 93, 31, 83, 24, 76, 29, 81, 19, 71, 12, 64, 17, 69, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 121, 173)(113, 165, 124, 176)(114, 166, 123, 175)(118, 170, 129, 181)(119, 171, 127, 179)(120, 172, 128, 180)(122, 174, 133, 185)(125, 177, 136, 188)(126, 178, 135, 187)(130, 182, 141, 193)(131, 183, 139, 191)(132, 184, 140, 192)(134, 186, 145, 197)(137, 189, 148, 200)(138, 190, 147, 199)(142, 194, 153, 205)(143, 195, 151, 203)(144, 196, 152, 204)(146, 198, 154, 206)(149, 201, 156, 208)(150, 202, 155, 207)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 109)(8, 123)(9, 125)(10, 106)(11, 121)(12, 128)(13, 107)(14, 130)(15, 131)(16, 110)(17, 133)(18, 111)(19, 135)(20, 112)(21, 137)(22, 114)(23, 115)(24, 140)(25, 117)(26, 142)(27, 143)(28, 120)(29, 145)(30, 122)(31, 147)(32, 124)(33, 149)(34, 126)(35, 127)(36, 152)(37, 129)(38, 146)(39, 150)(40, 132)(41, 154)(42, 134)(43, 155)(44, 136)(45, 144)(46, 138)(47, 139)(48, 156)(49, 141)(50, 153)(51, 151)(52, 148)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1147
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-2, Y3^3 * Y1^-5, Y1^-1 * Y2 * Y1^3 * Y3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 19, 71, 36, 88, 32, 84, 17, 69, 6, 58, 10, 62, 22, 74, 39, 91, 33, 85, 14, 66, 25, 77, 18, 70, 26, 78, 42, 94, 34, 86, 15, 67, 4, 56, 9, 61, 21, 73, 38, 90, 35, 87, 16, 68, 5, 57)(3, 55, 11, 63, 27, 79, 45, 97, 51, 103, 41, 93, 24, 76, 13, 65, 29, 81, 47, 99, 52, 104, 43, 95, 30, 82, 44, 96, 31, 83, 48, 100, 50, 102, 40, 92, 23, 75, 12, 64, 28, 80, 46, 98, 49, 101, 37, 89, 20, 72, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 124, 176)(113, 165, 128, 180)(114, 166, 127, 179)(118, 170, 135, 187)(119, 171, 133, 185)(120, 172, 131, 183)(121, 173, 132, 184)(122, 174, 134, 186)(123, 175, 141, 193)(125, 177, 145, 197)(126, 178, 144, 196)(129, 181, 148, 200)(130, 182, 147, 199)(136, 188, 150, 202)(137, 189, 152, 204)(138, 190, 151, 203)(139, 191, 149, 201)(140, 192, 153, 205)(142, 194, 155, 207)(143, 195, 154, 206)(146, 198, 156, 208)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 125)(8, 127)(9, 129)(10, 106)(11, 132)(12, 134)(13, 107)(14, 136)(15, 137)(16, 138)(17, 109)(18, 110)(19, 142)(20, 144)(21, 122)(22, 111)(23, 147)(24, 112)(25, 121)(26, 114)(27, 150)(28, 148)(29, 115)(30, 145)(31, 117)(32, 120)(33, 140)(34, 143)(35, 146)(36, 139)(37, 154)(38, 130)(39, 123)(40, 156)(41, 124)(42, 126)(43, 155)(44, 128)(45, 153)(46, 135)(47, 131)(48, 133)(49, 152)(50, 151)(51, 141)(52, 149)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1143
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 13, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y1^-1 * Y2 * Y3^2 * Y2 * Y1 * Y3^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-4 * Y3^-1, Y1^2 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 7, 59, 19, 71, 36, 88, 32, 84, 15, 67, 4, 56, 9, 61, 21, 73, 38, 90, 35, 87, 18, 70, 26, 78, 14, 66, 25, 77, 42, 94, 34, 86, 17, 69, 6, 58, 10, 62, 22, 74, 39, 91, 33, 85, 16, 68, 5, 57)(3, 55, 11, 63, 27, 79, 45, 97, 50, 102, 40, 92, 23, 75, 12, 64, 28, 80, 46, 98, 52, 104, 44, 96, 31, 83, 43, 95, 30, 82, 48, 100, 51, 103, 41, 93, 24, 76, 13, 65, 29, 81, 47, 99, 49, 101, 37, 89, 20, 72, 8, 60)(105, 157, 107, 159)(106, 158, 112, 164)(108, 160, 117, 169)(109, 161, 115, 167)(110, 162, 116, 168)(111, 163, 124, 176)(113, 165, 128, 180)(114, 166, 127, 179)(118, 170, 135, 187)(119, 171, 133, 185)(120, 172, 131, 183)(121, 173, 132, 184)(122, 174, 134, 186)(123, 175, 141, 193)(125, 177, 145, 197)(126, 178, 144, 196)(129, 181, 148, 200)(130, 182, 147, 199)(136, 188, 151, 203)(137, 189, 149, 201)(138, 190, 150, 202)(139, 191, 152, 204)(140, 192, 153, 205)(142, 194, 155, 207)(143, 195, 154, 206)(146, 198, 156, 208)
	L = (1, 108)(2, 113)(3, 116)(4, 118)(5, 119)(6, 105)(7, 125)(8, 127)(9, 129)(10, 106)(11, 132)(12, 134)(13, 107)(14, 126)(15, 130)(16, 136)(17, 109)(18, 110)(19, 142)(20, 144)(21, 146)(22, 111)(23, 147)(24, 112)(25, 143)(26, 114)(27, 150)(28, 152)(29, 115)(30, 151)(31, 117)(32, 122)(33, 140)(34, 120)(35, 121)(36, 139)(37, 154)(38, 138)(39, 123)(40, 135)(41, 124)(42, 137)(43, 133)(44, 128)(45, 156)(46, 155)(47, 131)(48, 153)(49, 149)(50, 148)(51, 141)(52, 145)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1150
Graph:: bipartite
	v = 28 e = 104 f = 30
	degree seq :: [ 4^26, 52^2 ]

E24.1167 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {26, 26, 26})
Quotient :: edge
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-4 * T2^2 * T1^-2, 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^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 45, 36, 23, 11, 21, 26, 39, 48, 52, 50, 42, 30, 16, 6, 15, 29, 41, 38, 25, 13, 5)(2, 7, 17, 31, 43, 37, 24, 12, 4, 10, 20, 34, 46, 51, 47, 35, 22, 28, 14, 27, 40, 49, 44, 32, 18, 8)(53, 54, 58, 66, 78, 72, 61, 69, 81, 92, 100, 98, 85, 95, 90, 96, 102, 99, 88, 76, 65, 70, 82, 74, 63, 56)(55, 59, 67, 79, 91, 86, 71, 83, 93, 101, 104, 103, 97, 89, 77, 84, 94, 87, 75, 64, 57, 60, 68, 80, 73, 62)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1173
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1168 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {26, 26, 26})
Quotient :: edge
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^5, T1 * T2^-1 * T1 * T2^-7, T1^3 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 30, 16, 6, 15, 29, 41, 50, 52, 48, 39, 26, 23, 11, 21, 35, 45, 38, 25, 13, 5)(2, 7, 17, 31, 43, 49, 40, 28, 14, 27, 22, 36, 46, 51, 47, 37, 24, 12, 4, 10, 20, 34, 44, 32, 18, 8)(53, 54, 58, 66, 78, 76, 65, 70, 82, 92, 100, 99, 90, 96, 85, 95, 102, 98, 87, 72, 61, 69, 81, 74, 63, 56)(55, 59, 67, 79, 75, 64, 57, 60, 68, 80, 91, 89, 77, 84, 94, 101, 104, 103, 97, 86, 71, 83, 93, 88, 73, 62)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1175
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1169 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {26, 26, 26})
Quotient :: edge
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^6, T1^-6 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 26, 43, 39, 23, 11, 21, 35, 48, 30, 16, 6, 15, 29, 47, 37, 51, 41, 25, 13, 5)(2, 7, 17, 31, 49, 52, 42, 40, 24, 12, 4, 10, 20, 34, 46, 28, 14, 27, 45, 38, 22, 36, 50, 32, 18, 8)(53, 54, 58, 66, 78, 94, 93, 102, 87, 72, 61, 69, 81, 97, 91, 76, 65, 70, 82, 98, 85, 101, 89, 74, 63, 56)(55, 59, 67, 79, 95, 92, 77, 84, 100, 86, 71, 83, 99, 90, 75, 64, 57, 60, 68, 80, 96, 104, 103, 88, 73, 62)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1176
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1170 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {26, 26, 26})
Quotient :: edge
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-3 * T1, T1 * T2 * T1^11 * T2, (T1^-1 * T2^-1)^26 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 49, 39, 48, 44, 51, 46, 37, 28, 35, 30, 21, 11, 19, 13, 5)(2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 50, 52, 47, 45, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8)(53, 54, 58, 66, 75, 83, 91, 99, 98, 90, 82, 74, 65, 70, 61, 69, 78, 86, 94, 102, 96, 88, 80, 72, 63, 56)(55, 59, 67, 76, 84, 92, 100, 97, 89, 81, 73, 64, 57, 60, 68, 77, 85, 93, 101, 104, 103, 95, 87, 79, 71, 62)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1174
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1171 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {26, 26, 26})
Quotient :: edge
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^2 * T2^4, T2^2 * T1^-12, T1^-12 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 51, 46, 49, 39, 48, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 45, 47, 52, 50, 41, 31, 40, 34, 25, 14, 24, 18, 8)(53, 54, 58, 66, 75, 83, 91, 99, 96, 88, 80, 72, 61, 69, 65, 70, 78, 86, 94, 102, 98, 90, 82, 74, 63, 56)(55, 59, 67, 76, 84, 92, 100, 104, 103, 95, 87, 79, 71, 64, 57, 60, 68, 77, 85, 93, 101, 97, 89, 81, 73, 62)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1172
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1172 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {26, 26, 26})
Quotient :: loop
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, T1^2 * T2^-2, (F * T2)^2, (F * T1)^2, T2^2 * T1^24, (T2^-1 * T1^-1)^26 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 6, 58, 12, 64, 15, 67, 20, 72, 23, 75, 28, 80, 31, 83, 36, 88, 39, 91, 44, 96, 47, 99, 52, 104, 49, 101, 46, 98, 41, 93, 38, 90, 33, 85, 30, 82, 25, 77, 22, 74, 17, 69, 14, 66, 9, 61, 5, 57)(2, 54, 7, 59, 11, 63, 16, 68, 19, 71, 24, 76, 27, 79, 32, 84, 35, 87, 40, 92, 43, 95, 48, 100, 51, 103, 50, 102, 45, 97, 42, 94, 37, 89, 34, 86, 29, 81, 26, 78, 21, 73, 18, 70, 13, 65, 10, 62, 4, 56, 8, 60)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 63)(7, 64)(8, 55)(9, 56)(10, 57)(11, 67)(12, 68)(13, 61)(14, 62)(15, 71)(16, 72)(17, 65)(18, 66)(19, 75)(20, 76)(21, 69)(22, 70)(23, 79)(24, 80)(25, 73)(26, 74)(27, 83)(28, 84)(29, 77)(30, 78)(31, 87)(32, 88)(33, 81)(34, 82)(35, 91)(36, 92)(37, 85)(38, 86)(39, 95)(40, 96)(41, 89)(42, 90)(43, 99)(44, 100)(45, 93)(46, 94)(47, 103)(48, 104)(49, 97)(50, 98)(51, 101)(52, 102)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1171
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1173 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {26, 26, 26})
Quotient :: loop
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-4 * T2^2 * T1^-2, 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^-2 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 45, 97, 36, 88, 23, 75, 11, 63, 21, 73, 26, 78, 39, 91, 48, 100, 52, 104, 50, 102, 42, 94, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 41, 93, 38, 90, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 43, 95, 37, 89, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 46, 98, 51, 103, 47, 99, 35, 87, 22, 74, 28, 80, 14, 66, 27, 79, 40, 92, 49, 101, 44, 96, 32, 84, 18, 70, 8, 60)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 72)(27, 91)(28, 73)(29, 92)(30, 74)(31, 93)(32, 94)(33, 95)(34, 71)(35, 75)(36, 76)(37, 77)(38, 96)(39, 86)(40, 100)(41, 101)(42, 87)(43, 90)(44, 102)(45, 89)(46, 85)(47, 88)(48, 98)(49, 104)(50, 99)(51, 97)(52, 103)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1167
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1174 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {26, 26, 26})
Quotient :: loop
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^5, T1 * T2^-1 * T1 * T2^-7, T1^3 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 42, 94, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 41, 93, 50, 102, 52, 104, 48, 100, 39, 91, 26, 78, 23, 75, 11, 63, 21, 73, 35, 87, 45, 97, 38, 90, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 43, 95, 49, 101, 40, 92, 28, 80, 14, 66, 27, 79, 22, 74, 36, 88, 46, 98, 51, 103, 47, 99, 37, 89, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 44, 96, 32, 84, 18, 70, 8, 60)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 76)(27, 75)(28, 91)(29, 74)(30, 92)(31, 93)(32, 94)(33, 95)(34, 71)(35, 72)(36, 73)(37, 77)(38, 96)(39, 89)(40, 100)(41, 88)(42, 101)(43, 102)(44, 85)(45, 86)(46, 87)(47, 90)(48, 99)(49, 104)(50, 98)(51, 97)(52, 103)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1170
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1175 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {26, 26, 26})
Quotient :: loop
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-4 * T2^-6, T1^-6 * T2^4 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 51, 103, 37, 89, 48, 100, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 47, 99, 39, 91, 23, 75, 11, 63, 21, 73, 35, 87, 44, 96, 26, 78, 43, 95, 41, 93, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 49, 101, 38, 90, 22, 74, 36, 88, 46, 98, 28, 80, 14, 66, 27, 79, 45, 97, 40, 92, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 42, 94, 52, 104, 50, 102, 32, 84, 18, 70, 8, 60)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 71)(35, 72)(36, 73)(37, 74)(38, 75)(39, 76)(40, 77)(41, 102)(42, 85)(43, 104)(44, 86)(45, 93)(46, 87)(47, 92)(48, 88)(49, 91)(50, 89)(51, 90)(52, 103)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1168
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1176 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {26, 26, 26})
Quotient :: loop
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-3 * T1, T1 * T2 * T1^11 * T2, (T1^-1 * T2^-1)^26 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 16, 68, 6, 58, 15, 67, 26, 78, 33, 85, 23, 75, 32, 84, 42, 94, 49, 101, 39, 91, 48, 100, 44, 96, 51, 103, 46, 98, 37, 89, 28, 80, 35, 87, 30, 82, 21, 73, 11, 63, 19, 71, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 25, 77, 14, 66, 24, 76, 34, 86, 41, 93, 31, 83, 40, 92, 50, 102, 52, 104, 47, 99, 45, 97, 36, 88, 43, 95, 38, 90, 29, 81, 20, 72, 27, 79, 22, 74, 12, 64, 4, 56, 10, 62, 18, 70, 8, 60)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 75)(15, 76)(16, 77)(17, 78)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 83)(24, 84)(25, 85)(26, 86)(27, 71)(28, 72)(29, 73)(30, 74)(31, 91)(32, 92)(33, 93)(34, 94)(35, 79)(36, 80)(37, 81)(38, 82)(39, 99)(40, 100)(41, 101)(42, 102)(43, 87)(44, 88)(45, 89)(46, 90)(47, 98)(48, 97)(49, 104)(50, 96)(51, 95)(52, 103)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1169
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y2 * Y3^2 * Y2^-1 * Y3^-2, Y3^-1 * Y2^6 * Y3^-1, Y2 * Y3 * Y2 * Y1^-7, 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 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 39, 91, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 42, 94, 49, 101, 52, 104, 51, 103, 45, 97, 33, 85, 24, 76, 13, 65, 18, 70, 30, 82, 43, 95, 37, 89, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 40, 92, 48, 100, 46, 98, 34, 86, 19, 71, 31, 83, 25, 77, 32, 84, 44, 96, 50, 102, 47, 99, 38, 90, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 41, 93, 36, 88, 21, 73, 10, 62)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 127, 179, 115, 167, 125, 177, 139, 191, 150, 202, 155, 207, 151, 203, 141, 193, 145, 197, 130, 182, 144, 196, 153, 205, 148, 200, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 129, 181, 117, 169, 109, 161)(106, 158, 111, 163, 121, 173, 135, 187, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 149, 201, 142, 194, 126, 178, 140, 192, 143, 195, 152, 204, 156, 208, 154, 206, 147, 199, 132, 184, 118, 170, 131, 183, 146, 198, 136, 188, 122, 174, 112, 164)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 138)(20, 139)(21, 140)(22, 141)(23, 142)(24, 137)(25, 135)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 149)(34, 150)(35, 143)(36, 145)(37, 147)(38, 151)(39, 130)(40, 131)(41, 132)(42, 133)(43, 134)(44, 136)(45, 155)(46, 152)(47, 154)(48, 144)(49, 146)(50, 148)(51, 156)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1186
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), Y3 * Y2^-1 * Y3^-2 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-5, Y2 * Y1 * Y2 * Y1^7, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y1^-4, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3^2 * Y2^-3 * Y1^-3, (Y2^-1 * Y3)^26 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 39, 91, 37, 89, 24, 76, 13, 65, 18, 70, 30, 82, 43, 95, 49, 101, 52, 104, 51, 103, 45, 97, 33, 85, 20, 72, 9, 61, 17, 69, 29, 81, 42, 94, 35, 87, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 40, 92, 36, 88, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 41, 93, 48, 100, 47, 99, 38, 90, 25, 77, 32, 84, 19, 71, 31, 83, 44, 96, 50, 102, 46, 98, 34, 86, 21, 73, 10, 62)(105, 157, 107, 159, 113, 165, 123, 175, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 148, 200, 153, 205, 145, 197, 130, 182, 144, 196, 139, 191, 150, 202, 155, 207, 151, 203, 141, 193, 127, 179, 115, 167, 125, 177, 137, 189, 129, 181, 117, 169, 109, 161)(106, 158, 111, 163, 121, 173, 135, 187, 147, 199, 132, 184, 118, 170, 131, 183, 146, 198, 154, 206, 156, 208, 152, 204, 143, 195, 140, 192, 126, 178, 138, 190, 149, 201, 142, 194, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 136, 188, 122, 174, 112, 164)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 149)(34, 150)(35, 146)(36, 144)(37, 143)(38, 151)(39, 130)(40, 131)(41, 132)(42, 133)(43, 134)(44, 135)(45, 155)(46, 154)(47, 152)(48, 145)(49, 147)(50, 148)(51, 156)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1184
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2^-1, Y1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^2 * Y2^-1 * Y1^2, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y3^2 * Y2^-1 * Y3^2 * Y2^-3 * Y1^-2, Y2^2 * Y3 * Y2 * Y3 * Y2^3 * Y1^-2, Y2^4 * Y1^-1 * Y2 * Y1^-3 * Y2, Y1^5 * Y2 * Y3^-1 * Y2^3, Y2^-3 * Y3 * Y2^-4 * Y3 * Y2^-4 * Y3 * Y2^-4 * Y3 * Y2^-4 * Y3 * Y2^-1 * Y1, Y3^3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-3 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 42, 94, 41, 93, 50, 102, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 45, 97, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 46, 98, 33, 85, 49, 101, 37, 89, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 43, 95, 40, 92, 25, 77, 32, 84, 48, 100, 34, 86, 19, 71, 31, 83, 47, 99, 38, 90, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 44, 96, 52, 104, 51, 103, 36, 88, 21, 73, 10, 62)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 148, 200, 130, 182, 147, 199, 143, 195, 127, 179, 115, 167, 125, 177, 139, 191, 152, 204, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 151, 203, 141, 193, 155, 207, 145, 197, 129, 181, 117, 169, 109, 161)(106, 158, 111, 163, 121, 173, 135, 187, 153, 205, 156, 208, 146, 198, 144, 196, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 150, 202, 132, 184, 118, 170, 131, 183, 149, 201, 142, 194, 126, 178, 140, 192, 154, 206, 136, 188, 122, 174, 112, 164)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 138)(20, 139)(21, 140)(22, 141)(23, 142)(24, 143)(25, 144)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 150)(34, 152)(35, 154)(36, 155)(37, 153)(38, 151)(39, 149)(40, 147)(41, 146)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 145)(51, 156)(52, 148)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1183
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, Y3 * Y2^-2 * Y1^-3, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^4 * Y3 * Y2^8 * Y1^-1, Y2^-2 * Y1 * Y3^-1 * Y2^-4 * Y1 * Y3^-1 * Y2^-4 * Y1 * Y3^-1, Y2^-2 * Y1^22, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-2 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 13, 65, 18, 70, 24, 76, 31, 83, 30, 82, 34, 86, 40, 92, 47, 99, 46, 98, 50, 102, 43, 95, 49, 101, 45, 97, 36, 88, 27, 79, 33, 85, 29, 81, 20, 72, 9, 61, 17, 69, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 12, 64, 5, 57, 8, 60, 16, 68, 23, 75, 22, 74, 26, 78, 32, 84, 39, 91, 38, 90, 42, 94, 48, 100, 52, 104, 51, 103, 44, 96, 35, 87, 41, 93, 37, 89, 28, 80, 19, 71, 25, 77, 21, 73, 10, 62)(105, 157, 107, 159, 113, 165, 123, 175, 131, 183, 139, 191, 147, 199, 152, 204, 144, 196, 136, 188, 128, 180, 120, 172, 110, 162, 119, 171, 115, 167, 125, 177, 133, 185, 141, 193, 149, 201, 155, 207, 150, 202, 142, 194, 134, 186, 126, 178, 117, 169, 109, 161)(106, 158, 111, 163, 121, 173, 129, 181, 137, 189, 145, 197, 153, 205, 156, 208, 151, 203, 143, 195, 135, 187, 127, 179, 118, 170, 116, 168, 108, 160, 114, 166, 124, 176, 132, 184, 140, 192, 148, 200, 154, 206, 146, 198, 138, 190, 130, 182, 122, 174, 112, 164)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 121)(12, 119)(13, 118)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 132)(20, 133)(21, 129)(22, 127)(23, 120)(24, 122)(25, 123)(26, 126)(27, 140)(28, 141)(29, 137)(30, 135)(31, 128)(32, 130)(33, 131)(34, 134)(35, 148)(36, 149)(37, 145)(38, 143)(39, 136)(40, 138)(41, 139)(42, 142)(43, 154)(44, 155)(45, 153)(46, 151)(47, 144)(48, 146)(49, 147)(50, 150)(51, 156)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1182
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-3, Y3^3 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-11 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^23, 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 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 9, 61, 17, 69, 24, 76, 31, 83, 27, 79, 33, 85, 40, 92, 47, 99, 43, 95, 49, 101, 46, 98, 50, 102, 44, 96, 37, 89, 30, 82, 34, 86, 28, 80, 21, 73, 13, 65, 18, 70, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 23, 75, 19, 71, 25, 77, 32, 84, 39, 91, 35, 87, 41, 93, 48, 100, 52, 104, 51, 103, 45, 97, 38, 90, 42, 94, 36, 88, 29, 81, 22, 74, 26, 78, 20, 72, 12, 64, 5, 57, 8, 60, 16, 68, 10, 62)(105, 157, 107, 159, 113, 165, 123, 175, 131, 183, 139, 191, 147, 199, 155, 207, 148, 200, 140, 192, 132, 184, 124, 176, 115, 167, 120, 172, 110, 162, 119, 171, 128, 180, 136, 188, 144, 196, 152, 204, 150, 202, 142, 194, 134, 186, 126, 178, 117, 169, 109, 161)(106, 158, 111, 163, 121, 173, 129, 181, 137, 189, 145, 197, 153, 205, 149, 201, 141, 193, 133, 185, 125, 177, 116, 168, 108, 160, 114, 166, 118, 170, 127, 179, 135, 187, 143, 195, 151, 203, 156, 208, 154, 206, 146, 198, 138, 190, 130, 182, 122, 174, 112, 164)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 118)(10, 120)(11, 122)(12, 124)(13, 125)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 127)(20, 130)(21, 132)(22, 133)(23, 119)(24, 121)(25, 123)(26, 126)(27, 135)(28, 138)(29, 140)(30, 141)(31, 128)(32, 129)(33, 131)(34, 134)(35, 143)(36, 146)(37, 148)(38, 149)(39, 136)(40, 137)(41, 139)(42, 142)(43, 151)(44, 154)(45, 155)(46, 153)(47, 144)(48, 145)(49, 147)(50, 150)(51, 156)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1185
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y2^-2, Y3^-2 * Y2^24, (Y3^-1 * Y1^-1)^26, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 115, 167, 119, 171, 123, 175, 127, 179, 131, 183, 135, 187, 139, 191, 143, 195, 147, 199, 151, 203, 155, 207, 153, 205, 150, 202, 145, 197, 142, 194, 137, 189, 134, 186, 129, 181, 126, 178, 121, 173, 118, 170, 113, 165, 108, 160)(107, 159, 111, 163, 109, 161, 112, 164, 116, 168, 120, 172, 124, 176, 128, 180, 132, 184, 136, 188, 140, 192, 144, 196, 148, 200, 152, 204, 156, 208, 154, 206, 149, 201, 146, 198, 141, 193, 138, 190, 133, 185, 130, 182, 125, 177, 122, 174, 117, 169, 114, 166)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 109)(7, 108)(8, 106)(9, 117)(10, 118)(11, 112)(12, 110)(13, 121)(14, 122)(15, 116)(16, 115)(17, 125)(18, 126)(19, 120)(20, 119)(21, 129)(22, 130)(23, 124)(24, 123)(25, 133)(26, 134)(27, 128)(28, 127)(29, 137)(30, 138)(31, 132)(32, 131)(33, 141)(34, 142)(35, 136)(36, 135)(37, 145)(38, 146)(39, 140)(40, 139)(41, 149)(42, 150)(43, 144)(44, 143)(45, 153)(46, 154)(47, 148)(48, 147)(49, 156)(50, 155)(51, 152)(52, 151)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1180
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-3, Y3^-2 * Y2^-1 * Y3^-5 * Y2^-1 * Y3^-1, Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^4, (Y3^-1 * Y1^-1)^26 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 130, 182, 124, 176, 113, 165, 121, 173, 133, 185, 144, 196, 152, 204, 150, 202, 137, 189, 147, 199, 142, 194, 148, 200, 154, 206, 151, 203, 140, 192, 128, 180, 117, 169, 122, 174, 134, 186, 126, 178, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 131, 183, 143, 195, 138, 190, 123, 175, 135, 187, 145, 197, 153, 205, 156, 208, 155, 207, 149, 201, 141, 193, 129, 181, 136, 188, 146, 198, 139, 191, 127, 179, 116, 168, 109, 161, 112, 164, 120, 172, 132, 184, 125, 177, 114, 166)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 130)(22, 132)(23, 115)(24, 116)(25, 117)(26, 143)(27, 144)(28, 118)(29, 145)(30, 120)(31, 147)(32, 122)(33, 149)(34, 150)(35, 126)(36, 127)(37, 128)(38, 129)(39, 152)(40, 153)(41, 142)(42, 134)(43, 141)(44, 136)(45, 140)(46, 155)(47, 139)(48, 156)(49, 148)(50, 146)(51, 151)(52, 154)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1179
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y2^-6, Y2 * Y3^-1 * Y2 * Y3^-7, 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^-2, (Y3^-1 * Y1^-1)^26 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 130, 182, 128, 180, 117, 169, 122, 174, 134, 186, 144, 196, 152, 204, 151, 203, 142, 194, 148, 200, 137, 189, 147, 199, 154, 206, 150, 202, 139, 191, 124, 176, 113, 165, 121, 173, 133, 185, 126, 178, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 131, 183, 127, 179, 116, 168, 109, 161, 112, 164, 120, 172, 132, 184, 143, 195, 141, 193, 129, 181, 136, 188, 146, 198, 153, 205, 156, 208, 155, 207, 149, 201, 138, 190, 123, 175, 135, 187, 145, 197, 140, 192, 125, 177, 114, 166)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 127)(27, 126)(28, 118)(29, 145)(30, 120)(31, 147)(32, 122)(33, 146)(34, 148)(35, 149)(36, 150)(37, 128)(38, 129)(39, 130)(40, 132)(41, 154)(42, 134)(43, 153)(44, 136)(45, 142)(46, 155)(47, 141)(48, 143)(49, 144)(50, 156)(51, 151)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1178
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, Y3^6 * Y2^-4, Y3^-4 * Y2^-6, (Y3^-1 * Y1^-1)^26 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 130, 182, 146, 198, 145, 197, 154, 206, 139, 191, 124, 176, 113, 165, 121, 173, 133, 185, 149, 201, 143, 195, 128, 180, 117, 169, 122, 174, 134, 186, 150, 202, 137, 189, 153, 205, 141, 193, 126, 178, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 131, 183, 147, 199, 144, 196, 129, 181, 136, 188, 152, 204, 138, 190, 123, 175, 135, 187, 151, 203, 142, 194, 127, 179, 116, 168, 109, 161, 112, 164, 120, 172, 132, 184, 148, 200, 156, 208, 155, 207, 140, 192, 125, 177, 114, 166)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 147)(27, 149)(28, 118)(29, 151)(30, 120)(31, 153)(32, 122)(33, 148)(34, 150)(35, 152)(36, 154)(37, 155)(38, 126)(39, 127)(40, 128)(41, 129)(42, 144)(43, 143)(44, 130)(45, 142)(46, 132)(47, 141)(48, 134)(49, 156)(50, 136)(51, 145)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1181
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {26, 26, 26})
Quotient :: dipole
Aut^+ = C26 x C2 (small group id <52, 5>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y2^2 * Y3^-2 * Y2^-2 * Y3^2, Y3 * Y2^-1 * Y3^2 * Y2^-5 * Y3, Y3^-3 * Y2^-1 * Y3^-3 * Y2^-3, Y3^2 * Y2^-1 * Y3^2 * Y2^21, (Y2^-1 * Y3)^26, (Y3^-1 * Y1^-1)^26 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 130, 182, 146, 198, 137, 189, 153, 205, 143, 195, 128, 180, 117, 169, 122, 174, 134, 186, 150, 202, 139, 191, 124, 176, 113, 165, 121, 173, 133, 185, 149, 201, 145, 197, 154, 206, 141, 193, 126, 178, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 131, 183, 147, 199, 156, 208, 155, 207, 142, 194, 127, 179, 116, 168, 109, 161, 112, 164, 120, 172, 132, 184, 148, 200, 138, 190, 123, 175, 135, 187, 151, 203, 144, 196, 129, 181, 136, 188, 152, 204, 140, 192, 125, 177, 114, 166)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 147)(27, 149)(28, 118)(29, 151)(30, 120)(31, 153)(32, 122)(33, 155)(34, 146)(35, 148)(36, 150)(37, 152)(38, 126)(39, 127)(40, 128)(41, 129)(42, 156)(43, 145)(44, 130)(45, 144)(46, 132)(47, 143)(48, 134)(49, 142)(50, 136)(51, 141)(52, 154)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1177
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1187 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^4 * T1^-4, T1^-1 * T2^-12, T1^13, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 26, 38, 47, 50, 41, 36, 24, 12, 4, 10, 20, 28, 14, 27, 39, 48, 49, 44, 35, 23, 11, 21, 30, 16, 6, 15, 29, 40, 45, 52, 43, 34, 22, 32, 18, 8, 2, 7, 17, 31, 37, 46, 51, 42, 33, 25, 13, 5)(53, 54, 58, 66, 78, 89, 97, 101, 93, 85, 74, 63, 56)(55, 59, 67, 79, 90, 98, 104, 96, 88, 77, 84, 73, 62)(57, 60, 68, 80, 71, 83, 92, 100, 102, 94, 86, 75, 64)(61, 69, 81, 91, 99, 103, 95, 87, 76, 65, 70, 82, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1212
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1188 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^4 * T1, T1^13, (T2^2 * T1^-1)^26 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 26, 29, 20, 27, 34, 37, 28, 35, 42, 45, 36, 43, 49, 51, 44, 50, 52, 47, 38, 46, 48, 40, 30, 39, 41, 32, 22, 31, 33, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(53, 54, 58, 66, 74, 82, 90, 96, 88, 80, 72, 63, 56)(55, 59, 67, 75, 83, 91, 98, 102, 95, 87, 79, 71, 62)(57, 60, 68, 76, 84, 92, 99, 103, 97, 89, 81, 73, 64)(61, 65, 69, 77, 85, 93, 100, 104, 101, 94, 86, 78, 70)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1210
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1189 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^13, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 25, 24, 14, 23, 33, 32, 22, 31, 41, 40, 30, 39, 48, 47, 38, 46, 52, 50, 43, 49, 51, 44, 35, 42, 45, 36, 27, 34, 37, 28, 19, 26, 29, 20, 11, 18, 21, 12, 4, 10, 13, 5)(53, 54, 58, 66, 74, 82, 90, 95, 87, 79, 71, 63, 56)(55, 59, 67, 75, 83, 91, 98, 101, 94, 86, 78, 70, 62)(57, 60, 68, 76, 84, 92, 99, 102, 96, 88, 80, 72, 64)(61, 69, 77, 85, 93, 100, 104, 103, 97, 89, 81, 73, 65)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1213
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1190 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-8 * T1, T2^2 * T1 * T2 * T1^5 * T2, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 32, 18, 8, 2, 7, 17, 31, 49, 48, 30, 16, 6, 15, 29, 47, 37, 52, 46, 28, 14, 27, 45, 38, 22, 36, 51, 44, 26, 43, 39, 23, 11, 21, 35, 50, 42, 40, 24, 12, 4, 10, 20, 34, 41, 25, 13, 5)(53, 54, 58, 66, 78, 94, 93, 85, 101, 89, 74, 63, 56)(55, 59, 67, 79, 95, 92, 77, 84, 100, 104, 88, 73, 62)(57, 60, 68, 80, 96, 102, 86, 71, 83, 99, 90, 75, 64)(61, 69, 81, 97, 91, 76, 65, 70, 82, 98, 103, 87, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1208
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1191 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^8 * T1, T1^2 * T2^-1 * T1 * T2^-3 * T1^3, T2^-1 * T1^3 * T2^2 * T1^-3 * T2^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 24, 12, 4, 10, 20, 34, 42, 52, 39, 23, 11, 21, 35, 44, 26, 43, 51, 38, 22, 36, 46, 28, 14, 27, 45, 50, 37, 48, 30, 16, 6, 15, 29, 47, 49, 32, 18, 8, 2, 7, 17, 31, 41, 25, 13, 5)(53, 54, 58, 66, 78, 94, 85, 93, 101, 89, 74, 63, 56)(55, 59, 67, 79, 95, 104, 92, 77, 84, 100, 88, 73, 62)(57, 60, 68, 80, 96, 86, 71, 83, 99, 102, 90, 75, 64)(61, 69, 81, 97, 103, 91, 76, 65, 70, 82, 98, 87, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1211
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1192 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^-4 * T1^2, T1^13, T1^13, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 48, 39, 47, 52, 45, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 49, 51, 44, 50, 46, 37, 28, 35, 30, 21, 11, 19, 13, 5)(53, 54, 58, 66, 75, 83, 91, 96, 88, 80, 72, 63, 56)(55, 59, 67, 76, 84, 92, 99, 102, 95, 87, 79, 71, 62)(57, 60, 68, 77, 85, 93, 100, 103, 97, 89, 81, 73, 64)(61, 69, 78, 86, 94, 101, 104, 98, 90, 82, 74, 65, 70)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1206
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1193 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^-13, T1^4 * T2^-1 * T1 * T2^-1 * T1^5 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 50, 46, 52, 49, 41, 31, 40, 34, 25, 14, 24, 18, 8, 2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 45, 51, 48, 39, 47, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(53, 54, 58, 66, 75, 83, 91, 98, 90, 82, 74, 63, 56)(55, 59, 67, 76, 84, 92, 99, 104, 97, 89, 81, 73, 62)(57, 60, 68, 77, 85, 93, 100, 102, 95, 87, 79, 71, 64)(61, 69, 65, 70, 78, 86, 94, 101, 103, 96, 88, 80, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1209
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1194 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^13, T1^13, T1^-1 * T2 * T1^-4 * T2^3 * T1^-5 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 49, 52, 44, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 48, 51, 43, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 47, 50, 42, 45, 36, 27, 14, 25, 13, 5)(53, 54, 58, 66, 78, 86, 94, 101, 93, 85, 74, 63, 56)(55, 59, 67, 77, 81, 89, 97, 104, 100, 92, 84, 73, 62)(57, 60, 68, 79, 87, 95, 102, 98, 90, 82, 71, 75, 64)(61, 69, 76, 65, 70, 80, 88, 96, 103, 99, 91, 83, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1204
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1195 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^4, T1^-13, T1^13, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 45, 42, 50, 48, 39, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 43, 51, 47, 38, 41, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 44, 52, 46, 49, 40, 31, 22, 25, 13, 5)(53, 54, 58, 66, 78, 86, 94, 98, 90, 82, 74, 63, 56)(55, 59, 67, 79, 87, 95, 102, 101, 93, 85, 77, 73, 62)(57, 60, 68, 71, 81, 89, 97, 104, 99, 91, 83, 75, 64)(61, 69, 80, 88, 96, 103, 100, 92, 84, 76, 65, 70, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1207
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1196 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2^-1 * T1 * T2^-3, T1 * T2 * T1 * T2^7 * T1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 48, 38, 22, 36, 30, 16, 6, 15, 29, 44, 50, 40, 24, 12, 4, 10, 20, 34, 26, 42, 52, 47, 37, 32, 18, 8, 2, 7, 17, 31, 45, 49, 39, 23, 11, 21, 35, 28, 14, 27, 43, 51, 41, 25, 13, 5)(53, 54, 58, 66, 78, 85, 97, 102, 93, 89, 74, 63, 56)(55, 59, 67, 79, 94, 98, 101, 92, 77, 84, 88, 73, 62)(57, 60, 68, 80, 86, 71, 83, 96, 103, 99, 90, 75, 64)(61, 69, 81, 95, 104, 100, 91, 76, 65, 70, 82, 87, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1203
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1197 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2 * T1 * T2^3, T1 * T2^-1 * T1 * T2^-7 * T1, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 43, 28, 14, 27, 39, 23, 11, 21, 35, 48, 45, 32, 18, 8, 2, 7, 17, 31, 37, 50, 52, 42, 26, 40, 24, 12, 4, 10, 20, 34, 47, 44, 30, 16, 6, 15, 29, 38, 22, 36, 49, 51, 41, 25, 13, 5)(53, 54, 58, 66, 78, 93, 97, 99, 85, 89, 74, 63, 56)(55, 59, 67, 79, 92, 77, 84, 96, 98, 102, 88, 73, 62)(57, 60, 68, 80, 94, 103, 100, 86, 71, 83, 90, 75, 64)(61, 69, 81, 91, 76, 65, 70, 82, 95, 104, 101, 87, 72)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^13 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1205
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 1
	degree seq :: [ 13^4, 52 ]

E24.1198 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^17, (T2^-1 * T1^-1)^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 46, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 48, 52, 50, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 47, 41, 35, 29, 23, 17, 11, 5)(53, 54, 58, 55, 59, 64, 61, 65, 70, 67, 71, 76, 73, 77, 82, 79, 83, 88, 85, 89, 94, 91, 95, 100, 97, 101, 104, 103, 99, 102, 98, 93, 96, 92, 87, 90, 86, 81, 84, 80, 75, 78, 74, 69, 72, 68, 63, 66, 62, 57, 60, 56)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1216
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1199 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T1 * T2^-1 * T1 * T2^-9, T1^-1 * T2^-4 * T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 46, 36, 26, 16, 6, 15, 25, 35, 45, 52, 50, 42, 32, 22, 12, 4, 10, 20, 30, 40, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 51, 44, 34, 24, 14, 11, 21, 31, 41, 49, 43, 33, 23, 13, 5)(53, 54, 58, 66, 64, 57, 60, 68, 76, 74, 65, 70, 78, 86, 84, 75, 80, 88, 96, 94, 85, 90, 98, 103, 102, 95, 100, 91, 99, 104, 101, 92, 81, 89, 97, 93, 82, 71, 79, 87, 83, 72, 61, 69, 77, 73, 62, 55, 59, 67, 63, 56)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1218
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1200 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-5, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 36, 22, 26, 40, 50, 46, 32, 18, 8, 2, 7, 17, 31, 45, 37, 23, 11, 21, 35, 49, 52, 44, 30, 16, 6, 15, 29, 43, 38, 24, 12, 4, 10, 20, 34, 48, 51, 42, 28, 14, 27, 41, 39, 25, 13, 5)(53, 54, 58, 66, 78, 73, 62, 55, 59, 67, 79, 92, 87, 72, 61, 69, 81, 93, 102, 101, 86, 71, 83, 95, 91, 98, 104, 100, 85, 97, 90, 77, 84, 96, 103, 99, 89, 76, 65, 70, 82, 94, 88, 75, 64, 57, 60, 68, 80, 74, 63, 56)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1217
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1201 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T1 * T2 * T1^-2 * T2 * T1 * T2^-2, T2^-3 * T1^-2 * T2^-3, T1^-2 * T2^-1 * T1^-7, T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-3 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 46, 49, 39, 37, 48, 52, 43, 28, 14, 27, 42, 32, 18, 8, 2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 45, 38, 22, 36, 47, 51, 41, 26, 40, 50, 44, 30, 16, 6, 15, 29, 25, 13, 5)(53, 54, 58, 66, 78, 91, 90, 75, 64, 57, 60, 68, 80, 93, 101, 97, 85, 76, 65, 70, 82, 95, 103, 98, 86, 71, 83, 77, 84, 96, 104, 99, 87, 72, 61, 69, 81, 94, 102, 100, 88, 73, 62, 55, 59, 67, 79, 92, 89, 74, 63, 56)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1215
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1202 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-2 * T2 * T1^-1 * T2^4, T2^-3 * T1^-1 * T2^-1 * T1^-7, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 41, 52, 44, 48, 47, 36, 23, 11, 21, 32, 18, 8, 2, 7, 17, 31, 40, 26, 39, 51, 45, 34, 43, 37, 24, 12, 4, 10, 20, 30, 16, 6, 15, 29, 42, 50, 38, 49, 46, 35, 22, 33, 25, 13, 5)(53, 54, 58, 66, 78, 90, 100, 95, 85, 73, 62, 55, 59, 67, 79, 91, 101, 99, 89, 77, 84, 72, 61, 69, 81, 93, 103, 98, 88, 76, 65, 70, 82, 71, 83, 94, 104, 97, 87, 75, 64, 57, 60, 68, 80, 92, 102, 96, 86, 74, 63, 56)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1214
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1203 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^4 * T1^-4, T1^-1 * T2^-12, T1^13, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 26, 78, 38, 90, 47, 99, 50, 102, 41, 93, 36, 88, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 28, 80, 14, 66, 27, 79, 39, 91, 48, 100, 49, 101, 44, 96, 35, 87, 23, 75, 11, 63, 21, 73, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 40, 92, 45, 97, 52, 104, 43, 95, 34, 86, 22, 74, 32, 84, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 31, 83, 37, 89, 46, 98, 51, 103, 42, 94, 33, 85, 25, 77, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 89)(27, 90)(28, 71)(29, 91)(30, 72)(31, 92)(32, 73)(33, 74)(34, 75)(35, 76)(36, 77)(37, 97)(38, 98)(39, 99)(40, 100)(41, 85)(42, 86)(43, 87)(44, 88)(45, 101)(46, 104)(47, 103)(48, 102)(49, 93)(50, 94)(51, 95)(52, 96)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1196
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1204 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^4 * T1, T1^13, (T2^2 * T1^-1)^26 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 12, 64, 4, 56, 10, 62, 18, 70, 21, 73, 11, 63, 19, 71, 26, 78, 29, 81, 20, 72, 27, 79, 34, 86, 37, 89, 28, 80, 35, 87, 42, 94, 45, 97, 36, 88, 43, 95, 49, 101, 51, 103, 44, 96, 50, 102, 52, 104, 47, 99, 38, 90, 46, 98, 48, 100, 40, 92, 30, 82, 39, 91, 41, 93, 32, 84, 22, 74, 31, 83, 33, 85, 24, 76, 14, 66, 23, 75, 25, 77, 16, 68, 6, 58, 15, 67, 17, 69, 8, 60, 2, 54, 7, 59, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 65)(10, 55)(11, 56)(12, 57)(13, 69)(14, 74)(15, 75)(16, 76)(17, 77)(18, 61)(19, 62)(20, 63)(21, 64)(22, 82)(23, 83)(24, 84)(25, 85)(26, 70)(27, 71)(28, 72)(29, 73)(30, 90)(31, 91)(32, 92)(33, 93)(34, 78)(35, 79)(36, 80)(37, 81)(38, 96)(39, 98)(40, 99)(41, 100)(42, 86)(43, 87)(44, 88)(45, 89)(46, 102)(47, 103)(48, 104)(49, 94)(50, 95)(51, 97)(52, 101)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1194
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1205 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^13, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 8, 60, 2, 54, 7, 59, 17, 69, 16, 68, 6, 58, 15, 67, 25, 77, 24, 76, 14, 66, 23, 75, 33, 85, 32, 84, 22, 74, 31, 83, 41, 93, 40, 92, 30, 82, 39, 91, 48, 100, 47, 99, 38, 90, 46, 98, 52, 104, 50, 102, 43, 95, 49, 101, 51, 103, 44, 96, 35, 87, 42, 94, 45, 97, 36, 88, 27, 79, 34, 86, 37, 89, 28, 80, 19, 71, 26, 78, 29, 81, 20, 72, 11, 63, 18, 70, 21, 73, 12, 64, 4, 56, 10, 62, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 61)(14, 74)(15, 75)(16, 76)(17, 77)(18, 62)(19, 63)(20, 64)(21, 65)(22, 82)(23, 83)(24, 84)(25, 85)(26, 70)(27, 71)(28, 72)(29, 73)(30, 90)(31, 91)(32, 92)(33, 93)(34, 78)(35, 79)(36, 80)(37, 81)(38, 95)(39, 98)(40, 99)(41, 100)(42, 86)(43, 87)(44, 88)(45, 89)(46, 101)(47, 102)(48, 104)(49, 94)(50, 96)(51, 97)(52, 103)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1197
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1206 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-8 * T1, T2^2 * T1 * T2 * T1^5 * T2, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 32, 84, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 31, 83, 49, 101, 48, 100, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 47, 99, 37, 89, 52, 104, 46, 98, 28, 80, 14, 66, 27, 79, 45, 97, 38, 90, 22, 74, 36, 88, 51, 103, 44, 96, 26, 78, 43, 95, 39, 91, 23, 75, 11, 63, 21, 73, 35, 87, 50, 102, 42, 94, 40, 92, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 41, 93, 25, 77, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 71)(35, 72)(36, 73)(37, 74)(38, 75)(39, 76)(40, 77)(41, 85)(42, 93)(43, 92)(44, 102)(45, 91)(46, 103)(47, 90)(48, 104)(49, 89)(50, 86)(51, 87)(52, 88)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1192
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1207 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^8 * T1, T1^2 * T2^-1 * T1 * T2^-3 * T1^3, T2^-1 * T1^3 * T2^2 * T1^-3 * T2^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 53, 3, 55, 9, 61, 19, 71, 33, 85, 40, 92, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 42, 94, 52, 104, 39, 91, 23, 75, 11, 63, 21, 73, 35, 87, 44, 96, 26, 78, 43, 95, 51, 103, 38, 90, 22, 74, 36, 88, 46, 98, 28, 80, 14, 66, 27, 79, 45, 97, 50, 102, 37, 89, 48, 100, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 47, 99, 49, 101, 32, 84, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 31, 83, 41, 93, 25, 77, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 93)(34, 71)(35, 72)(36, 73)(37, 74)(38, 75)(39, 76)(40, 77)(41, 101)(42, 85)(43, 104)(44, 86)(45, 103)(46, 87)(47, 102)(48, 88)(49, 89)(50, 90)(51, 91)(52, 92)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1195
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1208 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^-4 * T1^2, T1^13, T1^13, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 16, 68, 6, 58, 15, 67, 26, 78, 33, 85, 23, 75, 32, 84, 42, 94, 48, 100, 39, 91, 47, 99, 52, 104, 45, 97, 36, 88, 43, 95, 38, 90, 29, 81, 20, 72, 27, 79, 22, 74, 12, 64, 4, 56, 10, 62, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 25, 77, 14, 66, 24, 76, 34, 86, 41, 93, 31, 83, 40, 92, 49, 101, 51, 103, 44, 96, 50, 102, 46, 98, 37, 89, 28, 80, 35, 87, 30, 82, 21, 73, 11, 63, 19, 71, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 75)(15, 76)(16, 77)(17, 78)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 83)(24, 84)(25, 85)(26, 86)(27, 71)(28, 72)(29, 73)(30, 74)(31, 91)(32, 92)(33, 93)(34, 94)(35, 79)(36, 80)(37, 81)(38, 82)(39, 96)(40, 99)(41, 100)(42, 101)(43, 87)(44, 88)(45, 89)(46, 90)(47, 102)(48, 103)(49, 104)(50, 95)(51, 97)(52, 98)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1190
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1209 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^-13, T1^4 * T2^-1 * T1 * T2^-1 * T1^5 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 11, 63, 21, 73, 28, 80, 35, 87, 30, 82, 37, 89, 44, 96, 50, 102, 46, 98, 52, 104, 49, 101, 41, 93, 31, 83, 40, 92, 34, 86, 25, 77, 14, 66, 24, 76, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 12, 64, 4, 56, 10, 62, 20, 72, 27, 79, 22, 74, 29, 81, 36, 88, 43, 95, 38, 90, 45, 97, 51, 103, 48, 100, 39, 91, 47, 99, 42, 94, 33, 85, 23, 75, 32, 84, 26, 78, 16, 68, 6, 58, 15, 67, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 75)(15, 76)(16, 77)(17, 65)(18, 78)(19, 64)(20, 61)(21, 62)(22, 63)(23, 83)(24, 84)(25, 85)(26, 86)(27, 71)(28, 72)(29, 73)(30, 74)(31, 91)(32, 92)(33, 93)(34, 94)(35, 79)(36, 80)(37, 81)(38, 82)(39, 98)(40, 99)(41, 100)(42, 101)(43, 87)(44, 88)(45, 89)(46, 90)(47, 104)(48, 102)(49, 103)(50, 95)(51, 96)(52, 97)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1193
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1210 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^13, T1^13, T1^-1 * T2 * T1^-4 * T2^3 * T1^-5 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 22, 74, 32, 84, 39, 91, 46, 98, 49, 101, 52, 104, 44, 96, 35, 87, 26, 78, 29, 81, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 23, 75, 11, 63, 21, 73, 31, 83, 38, 90, 41, 93, 48, 100, 51, 103, 43, 95, 34, 86, 37, 89, 28, 80, 16, 68, 6, 58, 15, 67, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 30, 82, 33, 85, 40, 92, 47, 99, 50, 102, 42, 94, 45, 97, 36, 88, 27, 79, 14, 66, 25, 77, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 77)(16, 79)(17, 76)(18, 80)(19, 75)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 81)(26, 86)(27, 87)(28, 88)(29, 89)(30, 71)(31, 72)(32, 73)(33, 74)(34, 94)(35, 95)(36, 96)(37, 97)(38, 82)(39, 83)(40, 84)(41, 85)(42, 101)(43, 102)(44, 103)(45, 104)(46, 90)(47, 91)(48, 92)(49, 93)(50, 98)(51, 99)(52, 100)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1188
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1211 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^4, T1^-13, T1^13, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 14, 66, 27, 79, 36, 88, 45, 97, 42, 94, 50, 102, 48, 100, 39, 91, 30, 82, 33, 85, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 16, 68, 6, 58, 15, 67, 28, 80, 37, 89, 34, 86, 43, 95, 51, 103, 47, 99, 38, 90, 41, 93, 32, 84, 23, 75, 11, 63, 21, 73, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 29, 81, 26, 78, 35, 87, 44, 96, 52, 104, 46, 98, 49, 101, 40, 92, 31, 83, 22, 74, 25, 77, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 71)(17, 80)(18, 72)(19, 81)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 73)(26, 86)(27, 87)(28, 88)(29, 89)(30, 74)(31, 75)(32, 76)(33, 77)(34, 94)(35, 95)(36, 96)(37, 97)(38, 82)(39, 83)(40, 84)(41, 85)(42, 98)(43, 102)(44, 103)(45, 104)(46, 90)(47, 91)(48, 92)(49, 93)(50, 101)(51, 100)(52, 99)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1191
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1212 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2^-1 * T1 * T2^-3, T1 * T2 * T1 * T2^7 * T1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^4 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 46, 98, 48, 100, 38, 90, 22, 74, 36, 88, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 44, 96, 50, 102, 40, 92, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 26, 78, 42, 94, 52, 104, 47, 99, 37, 89, 32, 84, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 31, 83, 45, 97, 49, 101, 39, 91, 23, 75, 11, 63, 21, 73, 35, 87, 28, 80, 14, 66, 27, 79, 43, 95, 51, 103, 41, 93, 25, 77, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 85)(27, 94)(28, 86)(29, 95)(30, 87)(31, 96)(32, 88)(33, 97)(34, 71)(35, 72)(36, 73)(37, 74)(38, 75)(39, 76)(40, 77)(41, 89)(42, 98)(43, 104)(44, 103)(45, 102)(46, 101)(47, 90)(48, 91)(49, 92)(50, 93)(51, 99)(52, 100)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1187
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1213 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2 * T1 * T2^3, T1 * T2^-1 * T1 * T2^-7 * T1, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 46, 98, 43, 95, 28, 80, 14, 66, 27, 79, 39, 91, 23, 75, 11, 63, 21, 73, 35, 87, 48, 100, 45, 97, 32, 84, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 31, 83, 37, 89, 50, 102, 52, 104, 42, 94, 26, 78, 40, 92, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 47, 99, 44, 96, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 38, 90, 22, 74, 36, 88, 49, 101, 51, 103, 41, 93, 25, 77, 13, 65, 5, 57)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 93)(27, 92)(28, 94)(29, 91)(30, 95)(31, 90)(32, 96)(33, 89)(34, 71)(35, 72)(36, 73)(37, 74)(38, 75)(39, 76)(40, 77)(41, 97)(42, 103)(43, 104)(44, 98)(45, 99)(46, 102)(47, 85)(48, 86)(49, 87)(50, 88)(51, 100)(52, 101)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1189
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 5
	degree seq :: [ 104 ]

E24.1214 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^-4 * T1^4, T2^-1 * T1^-12, T2^13, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 26, 78, 38, 90, 47, 99, 51, 103, 42, 94, 33, 85, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 31, 83, 37, 89, 46, 98, 52, 104, 43, 95, 34, 86, 22, 74, 32, 84, 18, 70, 8, 60)(4, 56, 10, 62, 20, 72, 28, 80, 14, 66, 27, 79, 39, 91, 48, 100, 50, 102, 41, 93, 36, 88, 24, 76, 12, 64)(6, 58, 15, 67, 29, 81, 40, 92, 45, 97, 49, 101, 44, 96, 35, 87, 23, 75, 11, 63, 21, 73, 30, 82, 16, 68)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 84)(26, 89)(27, 90)(28, 71)(29, 91)(30, 72)(31, 92)(32, 73)(33, 74)(34, 75)(35, 76)(36, 77)(37, 97)(38, 98)(39, 99)(40, 100)(41, 85)(42, 86)(43, 87)(44, 88)(45, 102)(46, 101)(47, 104)(48, 103)(49, 93)(50, 94)(51, 95)(52, 96)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1202
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1215 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-4 * T2^2, T2^13, T2^13, T2 * T1 * T2^4 * T1 * T2^6 * T1^2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 27, 79, 35, 87, 43, 95, 46, 98, 38, 90, 30, 82, 22, 74, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 25, 77, 33, 85, 41, 93, 49, 101, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70, 8, 60)(4, 56, 10, 62, 14, 66, 23, 75, 31, 83, 39, 91, 47, 99, 52, 104, 45, 97, 37, 89, 29, 81, 21, 73, 12, 64)(6, 58, 15, 67, 24, 76, 32, 84, 40, 92, 48, 100, 51, 103, 44, 96, 36, 88, 28, 80, 20, 72, 11, 63, 16, 68)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 61)(15, 75)(16, 62)(17, 76)(18, 63)(19, 77)(20, 64)(21, 65)(22, 78)(23, 71)(24, 83)(25, 84)(26, 72)(27, 85)(28, 73)(29, 74)(30, 86)(31, 79)(32, 91)(33, 92)(34, 80)(35, 93)(36, 81)(37, 82)(38, 94)(39, 87)(40, 99)(41, 100)(42, 88)(43, 101)(44, 89)(45, 90)(46, 102)(47, 95)(48, 104)(49, 103)(50, 96)(51, 97)(52, 98)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1201
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1216 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^3 * T1^4, T2^13, T2^13, T2^3 * T1^-1 * T2 * T1^-2 * T2^6 * T1^-1 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 29, 81, 37, 89, 45, 97, 49, 101, 41, 93, 33, 85, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 22, 74, 32, 84, 40, 92, 48, 100, 52, 104, 44, 96, 36, 88, 28, 80, 18, 70, 8, 60)(4, 56, 10, 62, 20, 72, 30, 82, 38, 90, 46, 98, 50, 102, 42, 94, 34, 86, 26, 78, 14, 66, 24, 76, 12, 64)(6, 58, 15, 67, 23, 75, 11, 63, 21, 73, 31, 83, 39, 91, 47, 99, 51, 103, 43, 95, 35, 87, 27, 79, 16, 68)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 77)(15, 76)(16, 78)(17, 75)(18, 79)(19, 74)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 80)(26, 85)(27, 86)(28, 87)(29, 84)(30, 71)(31, 72)(32, 73)(33, 88)(34, 93)(35, 94)(36, 95)(37, 92)(38, 81)(39, 82)(40, 83)(41, 96)(42, 101)(43, 102)(44, 103)(45, 100)(46, 89)(47, 90)(48, 91)(49, 104)(50, 97)(51, 98)(52, 99)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1198
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1217 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^3, T2^13, T2^13, T2^-5 * T1^-1 * T2^-5 * 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 53, 3, 55, 9, 61, 19, 71, 29, 81, 37, 89, 45, 97, 49, 101, 41, 93, 33, 85, 25, 77, 13, 65, 5, 57)(2, 54, 7, 59, 17, 69, 28, 80, 36, 88, 44, 96, 52, 104, 46, 98, 38, 90, 30, 82, 22, 74, 18, 70, 8, 60)(4, 56, 10, 62, 20, 72, 14, 66, 26, 78, 34, 86, 42, 94, 50, 102, 48, 100, 40, 92, 32, 84, 24, 76, 12, 64)(6, 58, 15, 67, 27, 79, 35, 87, 43, 95, 51, 103, 47, 99, 39, 91, 31, 83, 23, 75, 11, 63, 21, 73, 16, 68)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 66)(7, 67)(8, 68)(9, 69)(10, 55)(11, 56)(12, 57)(13, 70)(14, 71)(15, 78)(16, 72)(17, 79)(18, 73)(19, 80)(20, 61)(21, 62)(22, 63)(23, 64)(24, 65)(25, 74)(26, 81)(27, 86)(28, 87)(29, 88)(30, 75)(31, 76)(32, 77)(33, 82)(34, 89)(35, 94)(36, 95)(37, 96)(38, 83)(39, 84)(40, 85)(41, 90)(42, 97)(43, 102)(44, 103)(45, 104)(46, 91)(47, 92)(48, 93)(49, 98)(50, 101)(51, 100)(52, 99)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1200
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1218 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^4, T2^13, (T1^-1 * T2^-1)^52 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 45, 97, 37, 89, 29, 81, 21, 73, 13, 65, 5, 57)(2, 54, 7, 59, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 48, 100, 40, 92, 32, 84, 24, 76, 16, 68, 8, 60)(4, 56, 10, 62, 18, 70, 26, 78, 34, 86, 42, 94, 49, 101, 51, 103, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64)(6, 58, 14, 66, 22, 74, 30, 82, 38, 90, 46, 98, 52, 104, 50, 102, 43, 95, 35, 87, 27, 79, 19, 71, 11, 63)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 62)(7, 66)(8, 63)(9, 67)(10, 55)(11, 56)(12, 57)(13, 68)(14, 70)(15, 74)(16, 71)(17, 75)(18, 61)(19, 64)(20, 65)(21, 76)(22, 78)(23, 82)(24, 79)(25, 83)(26, 69)(27, 72)(28, 73)(29, 84)(30, 86)(31, 90)(32, 87)(33, 91)(34, 77)(35, 80)(36, 81)(37, 92)(38, 94)(39, 98)(40, 95)(41, 99)(42, 85)(43, 88)(44, 89)(45, 100)(46, 101)(47, 104)(48, 102)(49, 93)(50, 96)(51, 97)(52, 103)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1199
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, Y3^2 * Y2 * Y1^2 * Y2^-1, Y3 * Y2^4 * Y1^-3, Y2^3 * Y1^2 * Y2 * Y1 * Y2^3 * Y3^-2 * Y2, Y1^13, (Y3^-1 * Y1^3)^13, (Y2^-1 * Y3)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 37, 89, 45, 97, 49, 101, 41, 93, 33, 85, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 38, 90, 46, 98, 52, 104, 44, 96, 36, 88, 25, 77, 32, 84, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 28, 80, 19, 71, 31, 83, 40, 92, 48, 100, 50, 102, 42, 94, 34, 86, 23, 75, 12, 64)(9, 61, 17, 69, 29, 81, 39, 91, 47, 99, 51, 103, 43, 95, 35, 87, 24, 76, 13, 65, 18, 70, 30, 82, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 130, 182, 142, 194, 151, 203, 154, 206, 145, 197, 140, 192, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 132, 184, 118, 170, 131, 183, 143, 195, 152, 204, 153, 205, 148, 200, 139, 191, 127, 179, 115, 167, 125, 177, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 144, 196, 149, 201, 156, 208, 147, 199, 138, 190, 126, 178, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 141, 193, 150, 202, 155, 207, 146, 198, 137, 189, 129, 181, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 132)(20, 134)(21, 136)(22, 137)(23, 138)(24, 139)(25, 140)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 145)(34, 146)(35, 147)(36, 148)(37, 130)(38, 131)(39, 133)(40, 135)(41, 153)(42, 154)(43, 155)(44, 156)(45, 141)(46, 142)(47, 143)(48, 144)(49, 149)(50, 152)(51, 151)(52, 150)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1249
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-4 * Y1^-2, Y1^-13, Y1^13, Y1^4 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-5 * Y2^-2, Y3^26, 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 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 23, 75, 31, 83, 39, 91, 46, 98, 38, 90, 30, 82, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 24, 76, 32, 84, 40, 92, 47, 99, 52, 104, 45, 97, 37, 89, 29, 81, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 25, 77, 33, 85, 41, 93, 48, 100, 50, 102, 43, 95, 35, 87, 27, 79, 19, 71, 12, 64)(9, 61, 17, 69, 13, 65, 18, 70, 26, 78, 34, 86, 42, 94, 49, 101, 51, 103, 44, 96, 36, 88, 28, 80, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 115, 167, 125, 177, 132, 184, 139, 191, 134, 186, 141, 193, 148, 200, 154, 206, 150, 202, 156, 208, 153, 205, 145, 197, 135, 187, 144, 196, 138, 190, 129, 181, 118, 170, 128, 180, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 116, 168, 108, 160, 114, 166, 124, 176, 131, 183, 126, 178, 133, 185, 140, 192, 147, 199, 142, 194, 149, 201, 155, 207, 152, 204, 143, 195, 151, 203, 146, 198, 137, 189, 127, 179, 136, 188, 130, 182, 120, 172, 110, 162, 119, 171, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 123)(13, 121)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 131)(20, 132)(21, 133)(22, 134)(23, 118)(24, 119)(25, 120)(26, 122)(27, 139)(28, 140)(29, 141)(30, 142)(31, 127)(32, 128)(33, 129)(34, 130)(35, 147)(36, 148)(37, 149)(38, 150)(39, 135)(40, 136)(41, 137)(42, 138)(43, 154)(44, 155)(45, 156)(46, 143)(47, 144)(48, 145)(49, 146)(50, 152)(51, 153)(52, 151)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1246
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y2^-4 * Y1^2, Y3^-5 * Y1 * Y3^-7, Y3^-5 * Y1^8, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 23, 75, 31, 83, 39, 91, 44, 96, 36, 88, 28, 80, 20, 72, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 24, 76, 32, 84, 40, 92, 47, 99, 50, 102, 43, 95, 35, 87, 27, 79, 19, 71, 10, 62)(5, 57, 8, 60, 16, 68, 25, 77, 33, 85, 41, 93, 48, 100, 51, 103, 45, 97, 37, 89, 29, 81, 21, 73, 12, 64)(9, 61, 17, 69, 26, 78, 34, 86, 42, 94, 49, 101, 52, 104, 46, 98, 38, 90, 30, 82, 22, 74, 13, 65, 18, 70)(105, 157, 107, 159, 113, 165, 120, 172, 110, 162, 119, 171, 130, 182, 137, 189, 127, 179, 136, 188, 146, 198, 152, 204, 143, 195, 151, 203, 156, 208, 149, 201, 140, 192, 147, 199, 142, 194, 133, 185, 124, 176, 131, 183, 126, 178, 116, 168, 108, 160, 114, 166, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 129, 181, 118, 170, 128, 180, 138, 190, 145, 197, 135, 187, 144, 196, 153, 205, 155, 207, 148, 200, 154, 206, 150, 202, 141, 193, 132, 184, 139, 191, 134, 186, 125, 177, 115, 167, 123, 175, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 122)(10, 123)(11, 124)(12, 125)(13, 126)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 131)(20, 132)(21, 133)(22, 134)(23, 118)(24, 119)(25, 120)(26, 121)(27, 139)(28, 140)(29, 141)(30, 142)(31, 127)(32, 128)(33, 129)(34, 130)(35, 147)(36, 148)(37, 149)(38, 150)(39, 135)(40, 136)(41, 137)(42, 138)(43, 154)(44, 143)(45, 155)(46, 156)(47, 144)(48, 145)(49, 146)(50, 151)(51, 152)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1243
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-2, Y3^6 * Y1^-7, Y3^26, Y2^-52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 34, 86, 42, 94, 46, 98, 38, 90, 30, 82, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 35, 87, 43, 95, 50, 102, 49, 101, 41, 93, 33, 85, 25, 77, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 19, 71, 29, 81, 37, 89, 45, 97, 52, 104, 47, 99, 39, 91, 31, 83, 23, 75, 12, 64)(9, 61, 17, 69, 28, 80, 36, 88, 44, 96, 51, 103, 48, 100, 40, 92, 32, 84, 24, 76, 13, 65, 18, 70, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 118, 170, 131, 183, 140, 192, 149, 201, 146, 198, 154, 206, 152, 204, 143, 195, 134, 186, 137, 189, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 120, 172, 110, 162, 119, 171, 132, 184, 141, 193, 138, 190, 147, 199, 155, 207, 151, 203, 142, 194, 145, 197, 136, 188, 127, 179, 115, 167, 125, 177, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 133, 185, 130, 182, 139, 191, 148, 200, 156, 208, 150, 202, 153, 205, 144, 196, 135, 187, 126, 178, 129, 181, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 120)(20, 122)(21, 129)(22, 134)(23, 135)(24, 136)(25, 137)(26, 118)(27, 119)(28, 121)(29, 123)(30, 142)(31, 143)(32, 144)(33, 145)(34, 130)(35, 131)(36, 132)(37, 133)(38, 150)(39, 151)(40, 152)(41, 153)(42, 138)(43, 139)(44, 140)(45, 141)(46, 146)(47, 156)(48, 155)(49, 154)(50, 147)(51, 148)(52, 149)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1244
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, Y2^2 * Y1 * Y2^2 * Y1 * Y3^-1, Y2^2 * Y1^2 * Y2 * Y3^-1 * Y2, Y2 * Y3^3 * Y2^-1 * Y3^-3, Y1^13, Y3 * Y2 * Y3^4 * Y2^3 * Y1^-5, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 34, 86, 42, 94, 49, 101, 41, 93, 33, 85, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 25, 77, 29, 81, 37, 89, 45, 97, 52, 104, 48, 100, 40, 92, 32, 84, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 27, 79, 35, 87, 43, 95, 50, 102, 46, 98, 38, 90, 30, 82, 19, 71, 23, 75, 12, 64)(9, 61, 17, 69, 24, 76, 13, 65, 18, 70, 28, 80, 36, 88, 44, 96, 51, 103, 47, 99, 39, 91, 31, 83, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 126, 178, 136, 188, 143, 195, 150, 202, 153, 205, 156, 208, 148, 200, 139, 191, 130, 182, 133, 185, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 127, 179, 115, 167, 125, 177, 135, 187, 142, 194, 145, 197, 152, 204, 155, 207, 147, 199, 138, 190, 141, 193, 132, 184, 120, 172, 110, 162, 119, 171, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 134, 186, 137, 189, 144, 196, 151, 203, 154, 206, 146, 198, 149, 201, 140, 192, 131, 183, 118, 170, 129, 181, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 134)(20, 135)(21, 136)(22, 137)(23, 123)(24, 121)(25, 119)(26, 118)(27, 120)(28, 122)(29, 129)(30, 142)(31, 143)(32, 144)(33, 145)(34, 130)(35, 131)(36, 132)(37, 133)(38, 150)(39, 151)(40, 152)(41, 153)(42, 138)(43, 139)(44, 140)(45, 141)(46, 154)(47, 155)(48, 156)(49, 146)(50, 147)(51, 148)(52, 149)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1241
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 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, Y1^13, 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 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^4 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 22, 74, 30, 82, 38, 90, 44, 96, 36, 88, 28, 80, 20, 72, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 23, 75, 31, 83, 39, 91, 46, 98, 50, 102, 43, 95, 35, 87, 27, 79, 19, 71, 10, 62)(5, 57, 8, 60, 16, 68, 24, 76, 32, 84, 40, 92, 47, 99, 51, 103, 45, 97, 37, 89, 29, 81, 21, 73, 12, 64)(9, 61, 13, 65, 17, 69, 25, 77, 33, 85, 41, 93, 48, 100, 52, 104, 49, 101, 42, 94, 34, 86, 26, 78, 18, 70)(105, 157, 107, 159, 113, 165, 116, 168, 108, 160, 114, 166, 122, 174, 125, 177, 115, 167, 123, 175, 130, 182, 133, 185, 124, 176, 131, 183, 138, 190, 141, 193, 132, 184, 139, 191, 146, 198, 149, 201, 140, 192, 147, 199, 153, 205, 155, 207, 148, 200, 154, 206, 156, 208, 151, 203, 142, 194, 150, 202, 152, 204, 144, 196, 134, 186, 143, 195, 145, 197, 136, 188, 126, 178, 135, 187, 137, 189, 128, 180, 118, 170, 127, 179, 129, 181, 120, 172, 110, 162, 119, 171, 121, 173, 112, 164, 106, 158, 111, 163, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 122)(10, 123)(11, 124)(12, 125)(13, 113)(14, 110)(15, 111)(16, 112)(17, 117)(18, 130)(19, 131)(20, 132)(21, 133)(22, 118)(23, 119)(24, 120)(25, 121)(26, 138)(27, 139)(28, 140)(29, 141)(30, 126)(31, 127)(32, 128)(33, 129)(34, 146)(35, 147)(36, 148)(37, 149)(38, 134)(39, 135)(40, 136)(41, 137)(42, 153)(43, 154)(44, 142)(45, 155)(46, 143)(47, 144)(48, 145)(49, 156)(50, 150)(51, 151)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1247
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), Y2^4 * Y3, Y1^13, 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 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 22, 74, 30, 82, 38, 90, 43, 95, 35, 87, 27, 79, 19, 71, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 23, 75, 31, 83, 39, 91, 46, 98, 49, 101, 42, 94, 34, 86, 26, 78, 18, 70, 10, 62)(5, 57, 8, 60, 16, 68, 24, 76, 32, 84, 40, 92, 47, 99, 50, 102, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64)(9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 48, 100, 52, 104, 51, 103, 45, 97, 37, 89, 29, 81, 21, 73, 13, 65)(105, 157, 107, 159, 113, 165, 112, 164, 106, 158, 111, 163, 121, 173, 120, 172, 110, 162, 119, 171, 129, 181, 128, 180, 118, 170, 127, 179, 137, 189, 136, 188, 126, 178, 135, 187, 145, 197, 144, 196, 134, 186, 143, 195, 152, 204, 151, 203, 142, 194, 150, 202, 156, 208, 154, 206, 147, 199, 153, 205, 155, 207, 148, 200, 139, 191, 146, 198, 149, 201, 140, 192, 131, 183, 138, 190, 141, 193, 132, 184, 123, 175, 130, 182, 133, 185, 124, 176, 115, 167, 122, 174, 125, 177, 116, 168, 108, 160, 114, 166, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 117)(10, 122)(11, 123)(12, 124)(13, 125)(14, 110)(15, 111)(16, 112)(17, 113)(18, 130)(19, 131)(20, 132)(21, 133)(22, 118)(23, 119)(24, 120)(25, 121)(26, 138)(27, 139)(28, 140)(29, 141)(30, 126)(31, 127)(32, 128)(33, 129)(34, 146)(35, 147)(36, 148)(37, 149)(38, 134)(39, 135)(40, 136)(41, 137)(42, 153)(43, 142)(44, 154)(45, 155)(46, 143)(47, 144)(48, 145)(49, 150)(50, 151)(51, 156)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1250
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2 * Y1^-3 * Y2^-1, Y2^2 * Y3 * Y2^6, Y2^2 * Y3^-1 * Y2 * Y3^-5 * Y2, Y3^2 * Y2^-1 * Y3^2 * Y2^-3 * Y1^-2, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y1^-4, Y1^4 * Y2^-1 * Y1 * Y3^-2 * Y2^-3, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^3 * Y2^-2, Y1^13, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 42, 94, 41, 93, 33, 85, 49, 101, 37, 89, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 43, 95, 40, 92, 25, 77, 32, 84, 48, 100, 52, 104, 36, 88, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 28, 80, 44, 96, 50, 102, 34, 86, 19, 71, 31, 83, 47, 99, 38, 90, 23, 75, 12, 64)(9, 61, 17, 69, 29, 81, 45, 97, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 46, 98, 51, 103, 35, 87, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 153, 205, 152, 204, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 151, 203, 141, 193, 156, 208, 150, 202, 132, 184, 118, 170, 131, 183, 149, 201, 142, 194, 126, 178, 140, 192, 155, 207, 148, 200, 130, 182, 147, 199, 143, 195, 127, 179, 115, 167, 125, 177, 139, 191, 154, 206, 146, 198, 144, 196, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 145, 197, 129, 181, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 138)(20, 139)(21, 140)(22, 141)(23, 142)(24, 143)(25, 144)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 145)(34, 154)(35, 155)(36, 156)(37, 153)(38, 151)(39, 149)(40, 147)(41, 146)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 148)(51, 150)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1245
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^6 * Y3^-1 * Y2^2, Y2^3 * Y3 * Y2 * Y3^5, Y1^4 * Y2^-1 * Y1 * Y2^-3 * Y3^-1, Y2^-2 * Y3^-3 * Y2^2 * Y1^-3, Y3^-5 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 42, 94, 33, 85, 41, 93, 49, 101, 37, 89, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 43, 95, 52, 104, 40, 92, 25, 77, 32, 84, 48, 100, 36, 88, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 28, 80, 44, 96, 34, 86, 19, 71, 31, 83, 47, 99, 50, 102, 38, 90, 23, 75, 12, 64)(9, 61, 17, 69, 29, 81, 45, 97, 51, 103, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 46, 98, 35, 87, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 144, 196, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 146, 198, 156, 208, 143, 195, 127, 179, 115, 167, 125, 177, 139, 191, 148, 200, 130, 182, 147, 199, 155, 207, 142, 194, 126, 178, 140, 192, 150, 202, 132, 184, 118, 170, 131, 183, 149, 201, 154, 206, 141, 193, 152, 204, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 151, 203, 153, 205, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 145, 197, 129, 181, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 138)(20, 139)(21, 140)(22, 141)(23, 142)(24, 143)(25, 144)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 146)(34, 148)(35, 150)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 137)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 145)(50, 151)(51, 149)(52, 147)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1248
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y3^-1 * Y1^2 * Y2 * Y1 * Y2^2 * Y3^-1 * Y2, Y2^3 * Y1 * Y2 * Y1 * Y3^-3, Y1^2 * Y2^-1 * Y1 * Y2^-7, Y3 * Y1^-2 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y2 * Y1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 41, 93, 45, 97, 47, 99, 33, 85, 37, 89, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 40, 92, 25, 77, 32, 84, 44, 96, 46, 98, 50, 102, 36, 88, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 28, 80, 42, 94, 51, 103, 48, 100, 34, 86, 19, 71, 31, 83, 38, 90, 23, 75, 12, 64)(9, 61, 17, 69, 29, 81, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 43, 95, 52, 104, 49, 101, 35, 87, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 150, 202, 147, 199, 132, 184, 118, 170, 131, 183, 143, 195, 127, 179, 115, 167, 125, 177, 139, 191, 152, 204, 149, 201, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 141, 193, 154, 206, 156, 208, 146, 198, 130, 182, 144, 196, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 151, 203, 148, 200, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 142, 194, 126, 178, 140, 192, 153, 205, 155, 207, 145, 197, 129, 181, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 138)(20, 139)(21, 140)(22, 141)(23, 142)(24, 143)(25, 144)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 151)(34, 152)(35, 153)(36, 154)(37, 137)(38, 135)(39, 133)(40, 131)(41, 130)(42, 132)(43, 134)(44, 136)(45, 145)(46, 148)(47, 149)(48, 155)(49, 156)(50, 150)(51, 146)(52, 147)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1242
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^-2 * Y1 * Y3^-1 * Y2^2 * Y1^-2, Y3^-1 * Y2^-1 * Y1^3 * Y2^-3 * Y3^-1, Y1^-2 * Y3 * Y2^4 * Y3^2, Y3^-1 * Y2 * Y1 * Y2^7 * Y3^-1, Y1^-3 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3, Y3^2 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 33, 85, 45, 97, 50, 102, 41, 93, 37, 89, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 42, 94, 46, 98, 49, 101, 40, 92, 25, 77, 32, 84, 36, 88, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 28, 80, 34, 86, 19, 71, 31, 83, 44, 96, 51, 103, 47, 99, 38, 90, 23, 75, 12, 64)(9, 61, 17, 69, 29, 81, 43, 95, 52, 104, 48, 100, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 35, 87, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 150, 202, 152, 204, 142, 194, 126, 178, 140, 192, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 148, 200, 154, 206, 144, 196, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 130, 182, 146, 198, 156, 208, 151, 203, 141, 193, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 149, 201, 153, 205, 143, 195, 127, 179, 115, 167, 125, 177, 139, 191, 132, 184, 118, 170, 131, 183, 147, 199, 155, 207, 145, 197, 129, 181, 117, 169, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 115)(5, 116)(6, 106)(7, 107)(8, 109)(9, 124)(10, 125)(11, 126)(12, 127)(13, 128)(14, 110)(15, 111)(16, 112)(17, 113)(18, 117)(19, 138)(20, 139)(21, 140)(22, 141)(23, 142)(24, 143)(25, 144)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 129)(33, 130)(34, 132)(35, 134)(36, 136)(37, 145)(38, 151)(39, 152)(40, 153)(41, 154)(42, 131)(43, 133)(44, 135)(45, 137)(46, 146)(47, 155)(48, 156)(49, 150)(50, 149)(51, 148)(52, 147)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1240
Graph:: bipartite
	v = 5 e = 104 f = 53
	degree seq :: [ 26^4, 104 ]

E24.1230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^-1 * Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^17 * Y2, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 12, 64, 18, 70, 24, 76, 30, 82, 36, 88, 42, 94, 48, 100, 47, 99, 41, 93, 35, 87, 29, 81, 23, 75, 17, 69, 11, 63, 5, 57, 8, 60, 14, 66, 20, 72, 26, 78, 32, 84, 38, 90, 44, 96, 50, 102, 52, 104, 51, 103, 45, 97, 39, 91, 33, 85, 27, 79, 21, 73, 15, 67, 9, 61, 3, 55, 7, 59, 13, 65, 19, 71, 25, 77, 31, 83, 37, 89, 43, 95, 49, 101, 46, 98, 40, 92, 34, 86, 28, 80, 22, 74, 16, 68, 10, 62, 4, 56)(105, 157, 107, 159, 112, 164, 106, 158, 111, 163, 118, 170, 110, 162, 117, 169, 124, 176, 116, 168, 123, 175, 130, 182, 122, 174, 129, 181, 136, 188, 128, 180, 135, 187, 142, 194, 134, 186, 141, 193, 148, 200, 140, 192, 147, 199, 154, 206, 146, 198, 153, 205, 156, 208, 152, 204, 150, 202, 155, 207, 151, 203, 144, 196, 149, 201, 145, 197, 138, 190, 143, 195, 139, 191, 132, 184, 137, 189, 133, 185, 126, 178, 131, 183, 127, 179, 120, 172, 125, 177, 121, 173, 114, 166, 119, 171, 115, 167, 108, 160, 113, 165, 109, 161)
	L = (1, 107)(2, 111)(3, 112)(4, 113)(5, 105)(6, 117)(7, 118)(8, 106)(9, 109)(10, 119)(11, 108)(12, 123)(13, 124)(14, 110)(15, 115)(16, 125)(17, 114)(18, 129)(19, 130)(20, 116)(21, 121)(22, 131)(23, 120)(24, 135)(25, 136)(26, 122)(27, 127)(28, 137)(29, 126)(30, 141)(31, 142)(32, 128)(33, 133)(34, 143)(35, 132)(36, 147)(37, 148)(38, 134)(39, 139)(40, 149)(41, 138)(42, 153)(43, 154)(44, 140)(45, 145)(46, 155)(47, 144)(48, 150)(49, 156)(50, 146)(51, 151)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1237
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), Y1^-1 * Y2^-2 * Y1 * Y2^2, Y2^-3 * Y1^-1 * Y2^-2, Y1^-1 * Y2 * Y1^-4 * Y2 * Y1^-5, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 24, 76, 34, 86, 44, 96, 40, 92, 30, 82, 20, 72, 9, 61, 17, 69, 27, 79, 37, 89, 47, 99, 52, 104, 50, 102, 43, 95, 33, 85, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 26, 78, 36, 88, 46, 98, 41, 93, 31, 83, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 25, 77, 35, 87, 45, 97, 51, 103, 49, 101, 39, 91, 29, 81, 19, 71, 13, 65, 18, 70, 28, 80, 38, 90, 48, 100, 42, 94, 32, 84, 22, 74, 11, 63, 4, 56)(105, 157, 107, 159, 113, 165, 123, 175, 116, 168, 108, 160, 114, 166, 124, 176, 133, 185, 127, 179, 115, 167, 125, 177, 134, 186, 143, 195, 137, 189, 126, 178, 135, 187, 144, 196, 153, 205, 147, 199, 136, 188, 145, 197, 148, 200, 155, 207, 154, 206, 146, 198, 150, 202, 138, 190, 149, 201, 156, 208, 152, 204, 140, 192, 128, 180, 139, 191, 151, 203, 142, 194, 130, 182, 118, 170, 129, 181, 141, 193, 132, 184, 120, 172, 110, 162, 119, 171, 131, 183, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 117, 169, 109, 161)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 129)(15, 131)(16, 110)(17, 117)(18, 112)(19, 116)(20, 133)(21, 134)(22, 135)(23, 115)(24, 139)(25, 141)(26, 118)(27, 122)(28, 120)(29, 127)(30, 143)(31, 144)(32, 145)(33, 126)(34, 149)(35, 151)(36, 128)(37, 132)(38, 130)(39, 137)(40, 153)(41, 148)(42, 150)(43, 136)(44, 155)(45, 156)(46, 138)(47, 142)(48, 140)(49, 147)(50, 146)(51, 154)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1236
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y2^6 * Y1^-1 * Y2, Y2^-3 * Y1^-2 * Y2^3 * Y1^2, Y2 * Y1 * Y2 * Y1^6 * Y2, Y2 * Y1^-1 * Y2 * Y1^-3 * Y2^2 * Y1^-4, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 40, 92, 39, 91, 25, 77, 32, 84, 46, 98, 52, 104, 49, 101, 35, 87, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 41, 93, 38, 90, 24, 76, 13, 65, 18, 70, 30, 82, 44, 96, 51, 103, 48, 100, 34, 86, 20, 72, 9, 61, 17, 69, 29, 81, 43, 95, 37, 89, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 42, 94, 50, 102, 47, 99, 33, 85, 19, 71, 31, 83, 45, 97, 36, 88, 22, 74, 11, 63, 4, 56)(105, 157, 107, 159, 113, 165, 123, 175, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 150, 202, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 149, 201, 156, 208, 148, 200, 132, 184, 118, 170, 131, 183, 147, 199, 140, 192, 153, 205, 155, 207, 146, 198, 130, 182, 145, 197, 141, 193, 126, 178, 139, 191, 152, 204, 154, 206, 144, 196, 142, 194, 127, 179, 115, 167, 125, 177, 138, 190, 151, 203, 143, 195, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 137, 189, 129, 181, 117, 169, 109, 161)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 136)(20, 137)(21, 138)(22, 139)(23, 115)(24, 116)(25, 117)(26, 145)(27, 147)(28, 118)(29, 149)(30, 120)(31, 150)(32, 122)(33, 129)(34, 151)(35, 152)(36, 153)(37, 126)(38, 127)(39, 128)(40, 142)(41, 141)(42, 130)(43, 140)(44, 132)(45, 156)(46, 134)(47, 143)(48, 154)(49, 155)(50, 144)(51, 146)(52, 148)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1238
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), Y2^2 * Y1^-2 * Y2^-2 * Y1^2, Y1^5 * Y2 * Y1 * Y2, Y2^-1 * Y1^-1 * Y2^-8, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 24, 76, 13, 65, 18, 70, 30, 82, 40, 92, 49, 101, 45, 97, 38, 90, 44, 96, 52, 104, 47, 99, 34, 86, 19, 71, 31, 83, 41, 93, 36, 88, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 39, 91, 37, 89, 25, 77, 32, 84, 42, 94, 50, 102, 46, 98, 33, 85, 43, 95, 51, 103, 48, 100, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 22, 74, 11, 63, 4, 56)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 149, 201, 141, 193, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 150, 202, 153, 205, 143, 195, 130, 182, 127, 179, 115, 167, 125, 177, 139, 191, 151, 203, 154, 206, 144, 196, 132, 184, 118, 170, 131, 183, 126, 178, 140, 192, 152, 204, 156, 208, 146, 198, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 145, 197, 155, 207, 148, 200, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 147, 199, 142, 194, 129, 181, 117, 169, 109, 161)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 127)(27, 126)(28, 118)(29, 145)(30, 120)(31, 147)(32, 122)(33, 149)(34, 150)(35, 151)(36, 152)(37, 128)(38, 129)(39, 130)(40, 132)(41, 155)(42, 134)(43, 142)(44, 136)(45, 141)(46, 153)(47, 154)(48, 156)(49, 143)(50, 144)(51, 148)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1239
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-4 * Y2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-7 * Y1^-1, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 19, 71, 31, 83, 40, 92, 49, 101, 47, 99, 52, 104, 44, 96, 35, 87, 24, 76, 13, 65, 18, 70, 30, 82, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 38, 90, 33, 85, 41, 93, 50, 102, 46, 98, 37, 89, 42, 94, 34, 86, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 20, 72, 9, 61, 17, 69, 29, 81, 39, 91, 48, 100, 43, 95, 51, 103, 45, 97, 36, 88, 25, 77, 32, 84, 22, 74, 11, 63, 4, 56)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 147, 199, 156, 208, 146, 198, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 145, 197, 155, 207, 148, 200, 138, 190, 126, 178, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 144, 196, 154, 206, 149, 201, 139, 191, 127, 179, 115, 167, 125, 177, 132, 184, 118, 170, 131, 183, 143, 195, 153, 205, 150, 202, 140, 192, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 130, 182, 142, 194, 152, 204, 151, 203, 141, 193, 129, 181, 117, 169, 109, 161)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 130)(21, 132)(22, 134)(23, 115)(24, 116)(25, 117)(26, 142)(27, 143)(28, 118)(29, 144)(30, 120)(31, 145)(32, 122)(33, 147)(34, 126)(35, 127)(36, 128)(37, 129)(38, 152)(39, 153)(40, 154)(41, 155)(42, 136)(43, 156)(44, 138)(45, 139)(46, 140)(47, 141)(48, 151)(49, 150)(50, 149)(51, 148)(52, 146)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1235
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3), (R * Y2)^2, Y2^4 * Y3^4, Y2^4 * Y3^4, Y2 * Y3^-12, Y2^13, (Y2^-1 * Y3)^52, (Y3^-1 * Y1^-1)^52 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 130, 182, 141, 193, 149, 201, 155, 207, 146, 198, 137, 189, 126, 178, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 131, 183, 129, 181, 136, 188, 144, 196, 152, 204, 154, 206, 145, 197, 140, 192, 125, 177, 114, 166)(109, 161, 112, 164, 120, 172, 132, 184, 142, 194, 150, 202, 156, 208, 147, 199, 138, 190, 123, 175, 135, 187, 127, 179, 116, 168)(113, 165, 121, 173, 133, 185, 128, 180, 117, 169, 122, 174, 134, 186, 143, 195, 151, 203, 153, 205, 148, 200, 139, 191, 124, 176)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 129)(27, 128)(28, 118)(29, 127)(30, 120)(31, 126)(32, 122)(33, 145)(34, 146)(35, 147)(36, 148)(37, 136)(38, 130)(39, 132)(40, 134)(41, 153)(42, 154)(43, 155)(44, 156)(45, 144)(46, 141)(47, 142)(48, 143)(49, 150)(50, 151)(51, 152)(52, 149)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1234
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^4 * Y2, Y2^13, (Y2^-1 * Y3)^52, (Y3^-1 * Y1^-1)^52 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 126, 178, 134, 186, 142, 194, 148, 200, 140, 192, 132, 184, 124, 176, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 127, 179, 135, 187, 143, 195, 150, 202, 154, 206, 147, 199, 139, 191, 131, 183, 123, 175, 114, 166)(109, 161, 112, 164, 120, 172, 128, 180, 136, 188, 144, 196, 151, 203, 155, 207, 149, 201, 141, 193, 133, 185, 125, 177, 116, 168)(113, 165, 117, 169, 121, 173, 129, 181, 137, 189, 145, 197, 152, 204, 156, 208, 153, 205, 146, 198, 138, 190, 130, 182, 122, 174)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 117)(8, 106)(9, 116)(10, 122)(11, 123)(12, 108)(13, 109)(14, 127)(15, 121)(16, 110)(17, 112)(18, 125)(19, 130)(20, 131)(21, 115)(22, 135)(23, 129)(24, 118)(25, 120)(26, 133)(27, 138)(28, 139)(29, 124)(30, 143)(31, 137)(32, 126)(33, 128)(34, 141)(35, 146)(36, 147)(37, 132)(38, 150)(39, 145)(40, 134)(41, 136)(42, 149)(43, 153)(44, 154)(45, 140)(46, 152)(47, 142)(48, 144)(49, 155)(50, 156)(51, 148)(52, 151)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1231
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y2), Y3^4 * Y2^-1, Y2^13, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-3, (Y3^-1 * Y1^-1)^52 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 126, 178, 134, 186, 142, 194, 147, 199, 139, 191, 131, 183, 123, 175, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 127, 179, 135, 187, 143, 195, 150, 202, 153, 205, 146, 198, 138, 190, 130, 182, 122, 174, 114, 166)(109, 161, 112, 164, 120, 172, 128, 180, 136, 188, 144, 196, 151, 203, 154, 206, 148, 200, 140, 192, 132, 184, 124, 176, 116, 168)(113, 165, 121, 173, 129, 181, 137, 189, 145, 197, 152, 204, 156, 208, 155, 207, 149, 201, 141, 193, 133, 185, 125, 177, 117, 169)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 112)(10, 117)(11, 122)(12, 108)(13, 109)(14, 127)(15, 129)(16, 110)(17, 120)(18, 125)(19, 130)(20, 115)(21, 116)(22, 135)(23, 137)(24, 118)(25, 128)(26, 133)(27, 138)(28, 123)(29, 124)(30, 143)(31, 145)(32, 126)(33, 136)(34, 141)(35, 146)(36, 131)(37, 132)(38, 150)(39, 152)(40, 134)(41, 144)(42, 149)(43, 153)(44, 139)(45, 140)(46, 156)(47, 142)(48, 151)(49, 155)(50, 147)(51, 148)(52, 154)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1230
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y2), (R * Y2)^2, Y3^-8 * Y2, Y2^-4 * Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1, Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2^3 * Y3^-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 * Y2^-1 * Y3 * Y2^-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 * Y2, (Y3^-1 * Y1^-1)^52 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 130, 182, 146, 198, 145, 197, 137, 189, 153, 205, 141, 193, 126, 178, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 131, 183, 147, 199, 144, 196, 129, 181, 136, 188, 152, 204, 156, 208, 140, 192, 125, 177, 114, 166)(109, 161, 112, 164, 120, 172, 132, 184, 148, 200, 154, 206, 138, 190, 123, 175, 135, 187, 151, 203, 142, 194, 127, 179, 116, 168)(113, 165, 121, 173, 133, 185, 149, 201, 143, 195, 128, 180, 117, 169, 122, 174, 134, 186, 150, 202, 155, 207, 139, 191, 124, 176)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 147)(27, 149)(28, 118)(29, 151)(30, 120)(31, 153)(32, 122)(33, 136)(34, 145)(35, 154)(36, 155)(37, 156)(38, 126)(39, 127)(40, 128)(41, 129)(42, 144)(43, 143)(44, 130)(45, 142)(46, 132)(47, 141)(48, 134)(49, 152)(50, 146)(51, 148)(52, 150)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1232
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y3^8 * Y2, Y2^2 * Y3^-1 * Y2 * Y3^-3 * Y2^3, Y3^-1 * Y2^3 * Y3^2 * Y2^-3 * Y3^-1, (Y2^-1 * Y3)^52, (Y3^-1 * Y1^-1)^52 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 118, 170, 130, 182, 146, 198, 137, 189, 145, 197, 153, 205, 141, 193, 126, 178, 115, 167, 108, 160)(107, 159, 111, 163, 119, 171, 131, 183, 147, 199, 156, 208, 144, 196, 129, 181, 136, 188, 152, 204, 140, 192, 125, 177, 114, 166)(109, 161, 112, 164, 120, 172, 132, 184, 148, 200, 138, 190, 123, 175, 135, 187, 151, 203, 154, 206, 142, 194, 127, 179, 116, 168)(113, 165, 121, 173, 133, 185, 149, 201, 155, 207, 143, 195, 128, 180, 117, 169, 122, 174, 134, 186, 150, 202, 139, 191, 124, 176)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 147)(27, 149)(28, 118)(29, 151)(30, 120)(31, 145)(32, 122)(33, 144)(34, 146)(35, 148)(36, 150)(37, 152)(38, 126)(39, 127)(40, 128)(41, 129)(42, 156)(43, 155)(44, 130)(45, 154)(46, 132)(47, 153)(48, 134)(49, 136)(50, 141)(51, 142)(52, 143)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1233
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3^-1 * Y1 * Y3^-3, Y1^3 * Y3 * Y1^9, (Y3 * Y2^-1)^13, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 37, 89, 45, 97, 50, 102, 42, 94, 34, 86, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 19, 71, 31, 83, 40, 92, 48, 100, 51, 103, 43, 95, 35, 87, 24, 76, 13, 65, 18, 70, 30, 82, 20, 72, 9, 61, 17, 69, 29, 81, 39, 91, 47, 99, 52, 104, 44, 96, 36, 88, 25, 77, 32, 84, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 38, 90, 46, 98, 49, 101, 41, 93, 33, 85, 22, 74, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 130)(20, 132)(21, 134)(22, 136)(23, 115)(24, 116)(25, 117)(26, 142)(27, 143)(28, 118)(29, 144)(30, 120)(31, 141)(32, 122)(33, 129)(34, 126)(35, 127)(36, 128)(37, 150)(38, 151)(39, 152)(40, 149)(41, 140)(42, 137)(43, 138)(44, 139)(45, 153)(46, 156)(47, 155)(48, 154)(49, 148)(50, 145)(51, 146)(52, 147)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1229
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^13, (Y3 * Y2^-1)^13, Y1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-4 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 12, 64, 5, 57, 8, 60, 14, 66, 20, 72, 13, 65, 16, 68, 22, 74, 28, 80, 21, 73, 24, 76, 30, 82, 36, 88, 29, 81, 32, 84, 38, 90, 44, 96, 37, 89, 40, 92, 46, 98, 51, 103, 45, 97, 48, 100, 52, 104, 49, 101, 41, 93, 47, 99, 50, 102, 42, 94, 33, 85, 39, 91, 43, 95, 34, 86, 25, 77, 31, 83, 35, 87, 26, 78, 17, 69, 23, 75, 27, 79, 18, 70, 9, 61, 15, 67, 19, 71, 10, 62, 3, 55, 7, 59, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 115)(7, 119)(8, 106)(9, 121)(10, 122)(11, 123)(12, 108)(13, 109)(14, 110)(15, 127)(16, 112)(17, 129)(18, 130)(19, 131)(20, 116)(21, 117)(22, 118)(23, 135)(24, 120)(25, 137)(26, 138)(27, 139)(28, 124)(29, 125)(30, 126)(31, 143)(32, 128)(33, 145)(34, 146)(35, 147)(36, 132)(37, 133)(38, 134)(39, 151)(40, 136)(41, 149)(42, 153)(43, 154)(44, 140)(45, 141)(46, 142)(47, 152)(48, 144)(49, 155)(50, 156)(51, 148)(52, 150)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1223
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-1 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^13, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 10, 62, 3, 55, 7, 59, 14, 66, 18, 70, 9, 61, 15, 67, 22, 74, 26, 78, 17, 69, 23, 75, 30, 82, 34, 86, 25, 77, 31, 83, 38, 90, 42, 94, 33, 85, 39, 91, 46, 98, 49, 101, 41, 93, 47, 99, 52, 104, 51, 103, 45, 97, 48, 100, 50, 102, 44, 96, 37, 89, 40, 92, 43, 95, 36, 88, 29, 81, 32, 84, 35, 87, 28, 80, 21, 73, 24, 76, 27, 79, 20, 72, 13, 65, 16, 68, 19, 71, 12, 64, 5, 57, 8, 60, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 118)(7, 119)(8, 106)(9, 121)(10, 122)(11, 110)(12, 108)(13, 109)(14, 126)(15, 127)(16, 112)(17, 129)(18, 130)(19, 115)(20, 116)(21, 117)(22, 134)(23, 135)(24, 120)(25, 137)(26, 138)(27, 123)(28, 124)(29, 125)(30, 142)(31, 143)(32, 128)(33, 145)(34, 146)(35, 131)(36, 132)(37, 133)(38, 150)(39, 151)(40, 136)(41, 149)(42, 153)(43, 139)(44, 140)(45, 141)(46, 156)(47, 152)(48, 144)(49, 155)(50, 147)(51, 148)(52, 154)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1228
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-3 * Y3 * Y1^2, Y1^6 * Y3^-1 * Y1^2, Y1^3 * Y3 * Y1 * Y3^5, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 36, 88, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 42, 94, 52, 104, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 43, 95, 41, 93, 48, 100, 51, 103, 34, 86, 19, 71, 31, 83, 45, 97, 40, 92, 25, 77, 32, 84, 46, 98, 50, 102, 33, 85, 47, 99, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 44, 96, 49, 101, 38, 90, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 37, 89, 22, 74, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 146)(27, 147)(28, 118)(29, 149)(30, 120)(31, 151)(32, 122)(33, 153)(34, 154)(35, 155)(36, 156)(37, 130)(38, 126)(39, 127)(40, 128)(41, 129)(42, 145)(43, 144)(44, 132)(45, 143)(46, 134)(47, 142)(48, 136)(49, 141)(50, 148)(51, 150)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1221
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^2 * Y3^2 * Y1^-2, Y1^4 * Y3 * Y1^4, Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-4 * Y1, Y1 * Y3 * Y1 * Y3^2 * Y1 * Y3^4 * Y1, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 38, 90, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 42, 94, 50, 102, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 44, 96, 33, 85, 47, 99, 51, 103, 40, 92, 25, 77, 32, 84, 46, 98, 34, 86, 19, 71, 31, 83, 45, 97, 52, 104, 41, 93, 48, 100, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 43, 95, 49, 101, 36, 88, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 37, 89, 22, 74, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 141)(27, 147)(28, 118)(29, 149)(30, 120)(31, 151)(32, 122)(33, 146)(34, 148)(35, 150)(36, 152)(37, 153)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 156)(44, 132)(45, 155)(46, 134)(47, 154)(48, 136)(49, 145)(50, 142)(51, 143)(52, 144)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1222
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^13, Y3^-13, Y3^26, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 9, 61, 17, 69, 24, 76, 31, 83, 27, 79, 33, 85, 40, 92, 47, 99, 43, 95, 49, 101, 51, 103, 45, 97, 38, 90, 42, 94, 36, 88, 29, 81, 22, 74, 26, 78, 20, 72, 12, 64, 5, 57, 8, 60, 16, 68, 10, 62, 3, 55, 7, 59, 15, 67, 23, 75, 19, 71, 25, 77, 32, 84, 39, 91, 35, 87, 41, 93, 48, 100, 52, 104, 46, 98, 50, 102, 44, 96, 37, 89, 30, 82, 34, 86, 28, 80, 21, 73, 13, 65, 18, 70, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 118)(11, 120)(12, 108)(13, 109)(14, 127)(15, 128)(16, 110)(17, 129)(18, 112)(19, 131)(20, 115)(21, 116)(22, 117)(23, 135)(24, 136)(25, 137)(26, 122)(27, 139)(28, 124)(29, 125)(30, 126)(31, 143)(32, 144)(33, 145)(34, 130)(35, 147)(36, 132)(37, 133)(38, 134)(39, 151)(40, 152)(41, 153)(42, 138)(43, 150)(44, 140)(45, 141)(46, 142)(47, 156)(48, 155)(49, 154)(50, 146)(51, 148)(52, 149)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1226
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-13, (Y3 * Y2^-1)^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 13, 65, 18, 70, 24, 76, 31, 83, 30, 82, 34, 86, 40, 92, 47, 99, 46, 98, 50, 102, 52, 104, 44, 96, 35, 87, 41, 93, 37, 89, 28, 80, 19, 71, 25, 77, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 12, 64, 5, 57, 8, 60, 16, 68, 23, 75, 22, 74, 26, 78, 32, 84, 39, 91, 38, 90, 42, 94, 48, 100, 51, 103, 43, 95, 49, 101, 45, 97, 36, 88, 27, 79, 33, 85, 29, 81, 20, 72, 9, 61, 17, 69, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 116)(15, 115)(16, 110)(17, 129)(18, 112)(19, 131)(20, 132)(21, 133)(22, 117)(23, 118)(24, 120)(25, 137)(26, 122)(27, 139)(28, 140)(29, 141)(30, 126)(31, 127)(32, 128)(33, 145)(34, 130)(35, 147)(36, 148)(37, 149)(38, 134)(39, 135)(40, 136)(41, 153)(42, 138)(43, 150)(44, 155)(45, 156)(46, 142)(47, 143)(48, 144)(49, 154)(50, 146)(51, 151)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1220
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1^4, Y3^13, Y3^13, Y3^3 * Y1^-1 * Y3 * Y1^-2 * Y3^6 * Y1^-1, (Y3 * Y2^-1)^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 25, 77, 28, 80, 35, 87, 42, 94, 49, 101, 52, 104, 47, 99, 38, 90, 29, 81, 32, 84, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 24, 76, 13, 65, 18, 70, 27, 79, 34, 86, 41, 93, 44, 96, 51, 103, 46, 98, 37, 89, 40, 92, 31, 83, 20, 72, 9, 61, 17, 69, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 26, 78, 33, 85, 36, 88, 43, 95, 50, 102, 45, 97, 48, 100, 39, 91, 30, 82, 19, 71, 22, 74, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 128)(15, 127)(16, 110)(17, 126)(18, 112)(19, 133)(20, 134)(21, 135)(22, 136)(23, 115)(24, 116)(25, 117)(26, 118)(27, 120)(28, 122)(29, 141)(30, 142)(31, 143)(32, 144)(33, 129)(34, 130)(35, 131)(36, 132)(37, 149)(38, 150)(39, 151)(40, 152)(41, 137)(42, 138)(43, 139)(44, 140)(45, 153)(46, 154)(47, 155)(48, 156)(49, 145)(50, 146)(51, 147)(52, 148)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1224
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3^-3, Y3^-13, Y3^-13, (Y3 * Y2^-1)^13, Y3^39, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 19, 71, 28, 80, 35, 87, 42, 94, 45, 97, 52, 104, 47, 99, 40, 92, 33, 85, 30, 82, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 20, 72, 9, 61, 17, 69, 27, 79, 34, 86, 37, 89, 44, 96, 51, 103, 48, 100, 41, 93, 38, 90, 31, 83, 24, 76, 13, 65, 18, 70, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 26, 78, 29, 81, 36, 88, 43, 95, 50, 102, 49, 101, 46, 98, 39, 91, 32, 84, 25, 77, 22, 74, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 130)(15, 131)(16, 110)(17, 132)(18, 112)(19, 133)(20, 118)(21, 120)(22, 122)(23, 115)(24, 116)(25, 117)(26, 138)(27, 139)(28, 140)(29, 141)(30, 126)(31, 127)(32, 128)(33, 129)(34, 146)(35, 147)(36, 148)(37, 149)(38, 134)(39, 135)(40, 136)(41, 137)(42, 154)(43, 155)(44, 156)(45, 153)(46, 142)(47, 143)(48, 144)(49, 145)(50, 152)(51, 151)(52, 150)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1227
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-5 * Y1^4, Y3^3 * Y1^8, Y3^2 * Y1^-5 * Y3 * Y1 * Y3^2, Y1 * Y3 * Y1 * Y3^2 * Y1^6, (Y3 * Y2^-1)^13, (Y3^-2 * Y1^-2)^26 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 42, 94, 50, 102, 40, 92, 25, 77, 32, 84, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 44, 96, 48, 100, 38, 90, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 33, 85, 46, 98, 52, 104, 51, 103, 41, 93, 36, 88, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 43, 95, 49, 101, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 34, 86, 19, 71, 31, 83, 45, 97, 47, 99, 37, 89, 22, 74, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 147)(27, 148)(28, 118)(29, 149)(30, 120)(31, 150)(32, 122)(33, 130)(34, 132)(35, 134)(36, 136)(37, 145)(38, 126)(39, 127)(40, 128)(41, 129)(42, 153)(43, 152)(44, 151)(45, 156)(46, 146)(47, 155)(48, 141)(49, 142)(50, 143)(51, 144)(52, 154)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1219
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^5 * Y1^4, Y3^2 * Y1 * Y3^2 * Y1^3 * Y3, Y3^-1 * Y1 * Y3^-2 * Y1^7, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 42, 94, 48, 100, 34, 86, 19, 71, 31, 83, 39, 91, 24, 76, 13, 65, 18, 70, 30, 82, 44, 96, 50, 102, 36, 88, 21, 73, 10, 62, 3, 55, 7, 59, 15, 67, 27, 79, 41, 93, 46, 98, 52, 104, 47, 99, 33, 85, 38, 90, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 43, 95, 49, 101, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 40, 92, 25, 77, 32, 84, 45, 97, 51, 103, 37, 89, 22, 74, 11, 63, 4, 56)(105, 157)(106, 158)(107, 159)(108, 160)(109, 161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(116, 168)(117, 169)(118, 170)(119, 171)(120, 172)(121, 173)(122, 174)(123, 175)(124, 176)(125, 177)(126, 178)(127, 179)(128, 180)(129, 181)(130, 182)(131, 183)(132, 184)(133, 185)(134, 186)(135, 187)(136, 188)(137, 189)(138, 190)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 203)(152, 204)(153, 205)(154, 206)(155, 207)(156, 208)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 119)(7, 121)(8, 106)(9, 123)(10, 124)(11, 125)(12, 108)(13, 109)(14, 131)(15, 133)(16, 110)(17, 135)(18, 112)(19, 137)(20, 138)(21, 139)(22, 140)(23, 115)(24, 116)(25, 117)(26, 145)(27, 144)(28, 118)(29, 143)(30, 120)(31, 142)(32, 122)(33, 141)(34, 151)(35, 152)(36, 153)(37, 154)(38, 126)(39, 127)(40, 128)(41, 129)(42, 150)(43, 130)(44, 132)(45, 134)(46, 136)(47, 155)(48, 156)(49, 146)(50, 147)(51, 148)(52, 149)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1225
Graph:: bipartite
	v = 53 e = 104 f = 5
	degree seq :: [ 2^52, 104 ]

E24.1251 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, R * Y3 * R * Y2, Y2 * Y1^4 * Y3, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 64, 10, 71, 17, 78, 24, 85, 31, 81, 27, 87, 33, 94, 40, 101, 47, 97, 43, 103, 49, 107, 53, 100, 46, 104, 50, 98, 44, 91, 37, 84, 30, 88, 34, 82, 28, 75, 21, 66, 12, 72, 18, 67, 13, 59, 5, 55)(3, 63, 9, 70, 16, 62, 8, 58, 4, 65, 11, 74, 20, 80, 26, 76, 22, 83, 29, 90, 36, 96, 42, 92, 38, 99, 45, 106, 52, 105, 51, 108, 54, 102, 48, 95, 41, 89, 35, 93, 39, 86, 32, 79, 25, 73, 19, 77, 23, 69, 15, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 23)(17, 25)(20, 28)(22, 30)(24, 32)(26, 34)(27, 35)(29, 37)(31, 39)(33, 41)(36, 44)(38, 46)(40, 48)(42, 50)(43, 51)(45, 53)(47, 54)(49, 52)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 68)(66, 76)(67, 74)(69, 78)(72, 80)(73, 81)(75, 83)(77, 85)(79, 87)(82, 90)(84, 92)(86, 94)(88, 96)(89, 97)(91, 99)(93, 101)(95, 103)(98, 106)(100, 108)(102, 107)(104, 105)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1255
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.1252 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y2)^2, (Y1 * Y2)^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y1^3 * Y2)^2, Y3 * Y1^-2 * Y2 * Y3 * Y1^-3 * Y2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 80, 26, 90, 36, 99, 45, 108, 54, 102, 48, 92, 38, 77, 23, 66, 12, 72, 18, 84, 30, 88, 34, 74, 20, 64, 10, 71, 17, 83, 29, 97, 43, 106, 52, 104, 50, 94, 40, 95, 41, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 87, 33, 86, 32, 78, 24, 93, 39, 103, 49, 107, 53, 98, 44, 85, 31, 75, 21, 89, 35, 82, 28, 70, 16, 62, 8, 58, 4, 65, 11, 76, 22, 91, 37, 101, 47, 105, 51, 100, 46, 96, 42, 81, 27, 69, 15, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 34)(29, 44)(32, 41)(36, 46)(37, 48)(39, 50)(43, 53)(45, 51)(47, 54)(49, 52)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 82)(69, 83)(72, 86)(73, 88)(75, 90)(77, 93)(79, 91)(80, 89)(81, 97)(84, 87)(85, 99)(92, 103)(94, 105)(95, 101)(96, 106)(98, 108)(100, 104)(102, 107)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1254
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.1253 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y3)^2, Y1^-4 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^2 * Y3, (Y2 * Y1 * Y3)^9 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 77, 23, 66, 12, 72, 18, 81, 27, 90, 36, 98, 44, 89, 35, 93, 39, 101, 47, 107, 53, 108, 54, 105, 51, 96, 42, 87, 33, 92, 38, 94, 40, 85, 31, 74, 20, 64, 10, 71, 17, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 84, 30, 82, 28, 75, 21, 86, 32, 95, 41, 104, 50, 102, 48, 97, 43, 103, 49, 99, 45, 106, 52, 100, 46, 91, 37, 83, 29, 78, 24, 88, 34, 80, 26, 70, 16, 62, 8, 58, 4, 65, 11, 76, 22, 69, 15, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 22)(16, 27)(17, 28)(20, 32)(24, 35)(25, 30)(26, 36)(29, 39)(31, 41)(33, 43)(34, 44)(37, 47)(38, 48)(40, 50)(42, 49)(45, 51)(46, 53)(52, 54)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 80)(69, 79)(72, 83)(73, 85)(75, 87)(77, 88)(81, 91)(82, 92)(84, 94)(86, 96)(89, 99)(90, 100)(93, 103)(95, 105)(97, 101)(98, 106)(102, 107)(104, 108)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1256
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.1254 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^9, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^4 * Y2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * 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 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 80, 26, 95, 41, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 87, 33, 104, 50, 96, 42, 81, 27, 69, 15, 61, 7, 57)(4, 65, 11, 76, 22, 91, 37, 108, 54, 97, 43, 82, 28, 70, 16, 62, 8, 58)(10, 71, 17, 83, 29, 98, 44, 94, 40, 103, 49, 105, 51, 88, 34, 74, 20, 64)(12, 72, 18, 84, 30, 99, 45, 107, 53, 90, 36, 102, 48, 92, 38, 77, 23, 66)(21, 89, 35, 106, 52, 101, 47, 86, 32, 78, 24, 93, 39, 100, 46, 85, 31, 75)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 45)(29, 46)(32, 49)(34, 52)(36, 54)(37, 48)(39, 44)(41, 50)(43, 53)(47, 51)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 82)(69, 83)(72, 86)(73, 88)(75, 90)(77, 93)(79, 91)(80, 97)(81, 98)(84, 101)(85, 102)(87, 105)(89, 107)(92, 100)(94, 96)(95, 108)(99, 106)(103, 104)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1252
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.1255 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^9, Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1^3 * Y2 * Y3 * Y1^-3, Y2 * Y1^-2 * Y3 * Y2 * Y1^-3 * Y3 * Y2 * Y3, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 80, 26, 95, 41, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 87, 33, 104, 50, 96, 42, 81, 27, 69, 15, 61, 7, 57)(4, 65, 11, 76, 22, 91, 37, 105, 51, 97, 43, 82, 28, 70, 16, 62, 8, 58)(10, 71, 17, 83, 29, 98, 44, 108, 54, 94, 40, 103, 49, 88, 34, 74, 20, 64)(12, 72, 18, 84, 30, 99, 45, 90, 36, 102, 48, 106, 52, 92, 38, 77, 23, 66)(21, 89, 35, 101, 47, 86, 32, 78, 24, 93, 39, 107, 53, 100, 46, 85, 31, 75)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 45)(29, 46)(32, 49)(34, 47)(36, 43)(37, 52)(39, 54)(41, 50)(44, 53)(48, 51)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 82)(69, 83)(72, 86)(73, 88)(75, 90)(77, 93)(79, 91)(80, 97)(81, 98)(84, 101)(85, 102)(87, 103)(89, 99)(92, 107)(94, 104)(95, 105)(96, 108)(100, 106)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1251
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.1256 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3, Y1^9, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 80, 26, 91, 37, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 86, 32, 97, 43, 92, 38, 81, 27, 69, 15, 61, 7, 57)(4, 65, 11, 76, 22, 89, 35, 100, 46, 93, 39, 82, 28, 70, 16, 62, 8, 58)(10, 71, 17, 83, 29, 94, 40, 102, 48, 105, 51, 98, 44, 87, 33, 74, 20, 64)(12, 72, 18, 84, 30, 95, 41, 103, 49, 107, 53, 101, 47, 90, 36, 77, 23, 66)(21, 88, 34, 99, 45, 106, 52, 108, 54, 104, 50, 96, 42, 85, 31, 78, 24, 75)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 24)(20, 34)(22, 36)(25, 32)(26, 38)(28, 41)(29, 31)(33, 45)(35, 47)(37, 43)(39, 49)(40, 42)(44, 52)(46, 53)(48, 50)(51, 54)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 82)(69, 83)(72, 85)(73, 87)(75, 77)(79, 89)(80, 93)(81, 94)(84, 96)(86, 98)(88, 90)(91, 100)(92, 102)(95, 104)(97, 105)(99, 101)(103, 108)(106, 107)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1253
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.1257 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y2 * Y3^-2)^2, Y3^9, Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-3 * Y2 * Y1, Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 40, 94, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 49, 103, 50, 104, 32, 86, 18, 72, 8, 62)(3, 57, 10, 64, 22, 76, 38, 92, 42, 96, 54, 108, 39, 93, 23, 77, 11, 65)(6, 60, 15, 69, 29, 83, 47, 101, 33, 87, 51, 105, 48, 102, 30, 84, 16, 70)(9, 63, 20, 74, 36, 90, 53, 107, 44, 98, 26, 80, 43, 97, 37, 91, 21, 75)(14, 68, 27, 81, 45, 99, 52, 106, 35, 89, 19, 73, 34, 88, 46, 100, 28, 82)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 136)(124, 135)(127, 141)(130, 145)(131, 144)(132, 140)(133, 139)(134, 150)(137, 154)(138, 153)(142, 155)(143, 159)(146, 151)(147, 161)(148, 158)(149, 157)(152, 162)(156, 160)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 188)(179, 192)(180, 191)(182, 197)(183, 196)(186, 201)(187, 200)(189, 206)(190, 205)(193, 210)(194, 209)(195, 212)(198, 214)(199, 208)(202, 216)(203, 204)(207, 215)(211, 213)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 108, 108 ), ( 108^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1266
Graph:: simple bipartite
	v = 60 e = 108 f = 2
	degree seq :: [ 2^54, 18^6 ]

E24.1258 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, (Y2 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y3^9, Y2 * Y1 * Y3 * Y2 * Y3^-3 * Y1 * Y2 * Y1, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 40, 94, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 49, 103, 50, 104, 32, 86, 18, 72, 8, 62)(3, 57, 10, 64, 22, 76, 38, 92, 54, 108, 42, 96, 39, 93, 23, 77, 11, 65)(6, 60, 15, 69, 29, 83, 47, 101, 51, 105, 33, 87, 48, 102, 30, 84, 16, 70)(9, 63, 20, 74, 36, 90, 44, 98, 26, 80, 43, 97, 53, 107, 37, 91, 21, 75)(14, 68, 27, 81, 45, 99, 35, 89, 19, 73, 34, 88, 52, 106, 46, 100, 28, 82)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 136)(124, 135)(127, 141)(130, 145)(131, 144)(132, 140)(133, 139)(134, 150)(137, 154)(138, 153)(142, 159)(143, 156)(146, 161)(147, 152)(148, 158)(149, 157)(151, 162)(155, 160)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 188)(179, 192)(180, 191)(182, 197)(183, 196)(186, 201)(187, 200)(189, 206)(190, 205)(193, 210)(194, 209)(195, 211)(198, 207)(199, 214)(202, 204)(203, 216)(208, 215)(212, 213)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 108, 108 ), ( 108^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1267
Graph:: simple bipartite
	v = 60 e = 108 f = 2
	degree seq :: [ 2^54, 18^6 ]

E24.1259 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, Y3^9, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 36, 90, 37, 91, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 42, 96, 30, 84, 18, 72, 8, 62)(3, 57, 10, 64, 22, 76, 34, 88, 46, 100, 47, 101, 35, 89, 23, 77, 11, 65)(6, 60, 15, 69, 27, 81, 39, 93, 49, 103, 50, 104, 40, 94, 28, 82, 16, 70)(9, 63, 20, 74, 32, 86, 44, 98, 52, 106, 53, 107, 45, 99, 33, 87, 21, 75)(14, 68, 19, 73, 31, 85, 43, 97, 51, 105, 54, 108, 48, 102, 38, 92, 26, 80)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 134)(124, 127)(130, 141)(131, 140)(132, 138)(133, 137)(135, 146)(136, 139)(142, 153)(143, 152)(144, 150)(145, 149)(147, 156)(148, 151)(154, 161)(155, 160)(157, 162)(158, 159)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 182)(179, 190)(180, 189)(183, 193)(186, 197)(187, 196)(188, 194)(191, 202)(192, 201)(195, 205)(198, 209)(199, 208)(200, 206)(203, 212)(204, 211)(207, 213)(210, 214)(215, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 108, 108 ), ( 108^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1268
Graph:: simple bipartite
	v = 60 e = 108 f = 2
	degree seq :: [ 2^54, 18^6 ]

E24.1260 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 21, 75, 9, 63, 20, 74, 30, 84, 37, 91, 27, 81, 36, 90, 46, 100, 53, 107, 43, 97, 52, 106, 49, 103, 39, 93, 48, 102, 42, 96, 33, 87, 23, 77, 32, 86, 26, 80, 16, 70, 6, 60, 15, 69, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 25, 79, 14, 68, 24, 78, 34, 88, 41, 95, 31, 85, 40, 94, 50, 104, 51, 105, 47, 101, 54, 108, 45, 99, 35, 89, 44, 98, 38, 92, 29, 83, 19, 73, 28, 82, 22, 76, 11, 65, 3, 57, 10, 64, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 133)(124, 132)(127, 135)(130, 138)(131, 139)(134, 142)(136, 145)(137, 144)(140, 149)(141, 148)(143, 151)(146, 154)(147, 155)(150, 158)(152, 161)(153, 160)(156, 159)(157, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 184)(175, 180)(176, 185)(179, 188)(182, 191)(183, 190)(186, 195)(187, 194)(189, 197)(192, 200)(193, 201)(196, 204)(198, 207)(199, 206)(202, 211)(203, 210)(205, 213)(208, 216)(209, 215)(212, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1263
Graph:: simple bipartite
	v = 56 e = 108 f = 6
	degree seq :: [ 2^54, 54^2 ]

E24.1261 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y1 * Y3^-1 * Y2 * Y3^12, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 20, 74, 28, 82, 36, 90, 44, 98, 52, 106, 49, 103, 41, 95, 33, 87, 25, 79, 17, 71, 9, 63, 6, 60, 14, 68, 22, 76, 30, 84, 38, 92, 46, 100, 53, 107, 45, 99, 37, 91, 29, 83, 21, 75, 13, 67, 5, 59)(2, 56, 7, 61, 15, 69, 23, 77, 31, 85, 39, 93, 47, 101, 54, 108, 51, 105, 43, 97, 35, 89, 27, 81, 19, 73, 11, 65, 3, 57, 10, 64, 18, 72, 26, 80, 34, 88, 42, 96, 50, 104, 48, 102, 40, 94, 32, 86, 24, 78, 16, 70, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 119)(118, 125)(120, 124)(121, 123)(122, 127)(126, 133)(128, 132)(129, 131)(130, 135)(134, 141)(136, 140)(137, 139)(138, 143)(142, 149)(144, 148)(145, 147)(146, 151)(150, 157)(152, 156)(153, 155)(154, 159)(158, 160)(161, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 171)(170, 176)(174, 181)(175, 180)(177, 179)(178, 184)(182, 189)(183, 188)(185, 187)(186, 192)(190, 197)(191, 196)(193, 195)(194, 200)(198, 205)(199, 204)(201, 203)(202, 208)(206, 213)(207, 212)(209, 211)(210, 215)(214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1264
Graph:: simple bipartite
	v = 56 e = 108 f = 6
	degree seq :: [ 2^54, 54^2 ]

E24.1262 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2, Y2 * Y3^7 * Y1, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^2 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 40, 94, 37, 91, 21, 75, 9, 63, 20, 74, 36, 90, 50, 104, 52, 106, 42, 96, 26, 80, 33, 87, 47, 101, 54, 108, 45, 99, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 46, 100, 44, 98, 28, 82, 14, 68, 27, 81, 43, 97, 53, 107, 49, 103, 35, 89, 19, 73, 34, 88, 48, 102, 51, 105, 39, 93, 23, 77, 11, 65, 3, 57, 10, 64, 22, 76, 38, 92, 32, 86, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 136)(124, 135)(127, 141)(130, 145)(131, 144)(132, 140)(133, 139)(134, 142)(137, 152)(138, 151)(143, 155)(146, 148)(147, 158)(149, 154)(150, 156)(153, 161)(157, 162)(159, 160)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 188)(179, 192)(180, 191)(182, 197)(183, 196)(186, 201)(187, 200)(189, 204)(190, 195)(193, 207)(194, 203)(198, 211)(199, 210)(202, 213)(205, 214)(206, 209)(208, 216)(212, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1265
Graph:: simple bipartite
	v = 56 e = 108 f = 6
	degree seq :: [ 2^54, 54^2 ]

E24.1263 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y2 * Y3^-2)^2, Y3^9, Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-3 * Y2 * Y1, Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 40, 94, 148, 202, 41, 95, 149, 203, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 31, 85, 139, 193, 49, 103, 157, 211, 50, 104, 158, 212, 32, 86, 140, 194, 18, 72, 126, 180, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 38, 92, 146, 200, 42, 96, 150, 204, 54, 108, 162, 216, 39, 93, 147, 201, 23, 77, 131, 185, 11, 65, 119, 173)(6, 60, 114, 168, 15, 69, 123, 177, 29, 83, 137, 191, 47, 101, 155, 209, 33, 87, 141, 195, 51, 105, 159, 213, 48, 102, 156, 210, 30, 84, 138, 192, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182, 36, 90, 144, 198, 53, 107, 161, 215, 44, 98, 152, 206, 26, 80, 134, 188, 43, 97, 151, 205, 37, 91, 145, 199, 21, 75, 129, 183)(14, 68, 122, 176, 27, 81, 135, 189, 45, 99, 153, 207, 52, 106, 160, 214, 35, 89, 143, 197, 19, 73, 127, 181, 34, 88, 142, 196, 46, 100, 154, 208, 28, 82, 136, 190)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 82)(16, 81)(17, 67)(18, 66)(19, 87)(20, 65)(21, 64)(22, 91)(23, 90)(24, 86)(25, 85)(26, 96)(27, 70)(28, 69)(29, 100)(30, 99)(31, 79)(32, 78)(33, 73)(34, 101)(35, 105)(36, 77)(37, 76)(38, 97)(39, 107)(40, 104)(41, 103)(42, 80)(43, 92)(44, 108)(45, 84)(46, 83)(47, 88)(48, 106)(49, 95)(50, 94)(51, 89)(52, 102)(53, 93)(54, 98)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 188)(123, 170)(124, 169)(125, 192)(126, 191)(127, 171)(128, 197)(129, 196)(130, 175)(131, 174)(132, 201)(133, 200)(134, 176)(135, 206)(136, 205)(137, 180)(138, 179)(139, 210)(140, 209)(141, 212)(142, 183)(143, 182)(144, 214)(145, 208)(146, 187)(147, 186)(148, 216)(149, 204)(150, 203)(151, 190)(152, 189)(153, 215)(154, 199)(155, 194)(156, 193)(157, 213)(158, 195)(159, 211)(160, 198)(161, 207)(162, 202)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1260
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 56
	degree seq :: [ 36^6 ]

E24.1264 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, (Y2 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y3^9, Y2 * Y1 * Y3 * Y2 * Y3^-3 * Y1 * Y2 * Y1, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 40, 94, 148, 202, 41, 95, 149, 203, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 31, 85, 139, 193, 49, 103, 157, 211, 50, 104, 158, 212, 32, 86, 140, 194, 18, 72, 126, 180, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 38, 92, 146, 200, 54, 108, 162, 216, 42, 96, 150, 204, 39, 93, 147, 201, 23, 77, 131, 185, 11, 65, 119, 173)(6, 60, 114, 168, 15, 69, 123, 177, 29, 83, 137, 191, 47, 101, 155, 209, 51, 105, 159, 213, 33, 87, 141, 195, 48, 102, 156, 210, 30, 84, 138, 192, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182, 36, 90, 144, 198, 44, 98, 152, 206, 26, 80, 134, 188, 43, 97, 151, 205, 53, 107, 161, 215, 37, 91, 145, 199, 21, 75, 129, 183)(14, 68, 122, 176, 27, 81, 135, 189, 45, 99, 153, 207, 35, 89, 143, 197, 19, 73, 127, 181, 34, 88, 142, 196, 52, 106, 160, 214, 46, 100, 154, 208, 28, 82, 136, 190)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 82)(16, 81)(17, 67)(18, 66)(19, 87)(20, 65)(21, 64)(22, 91)(23, 90)(24, 86)(25, 85)(26, 96)(27, 70)(28, 69)(29, 100)(30, 99)(31, 79)(32, 78)(33, 73)(34, 105)(35, 102)(36, 77)(37, 76)(38, 107)(39, 98)(40, 104)(41, 103)(42, 80)(43, 108)(44, 93)(45, 84)(46, 83)(47, 106)(48, 89)(49, 95)(50, 94)(51, 88)(52, 101)(53, 92)(54, 97)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 188)(123, 170)(124, 169)(125, 192)(126, 191)(127, 171)(128, 197)(129, 196)(130, 175)(131, 174)(132, 201)(133, 200)(134, 176)(135, 206)(136, 205)(137, 180)(138, 179)(139, 210)(140, 209)(141, 211)(142, 183)(143, 182)(144, 207)(145, 214)(146, 187)(147, 186)(148, 204)(149, 216)(150, 202)(151, 190)(152, 189)(153, 198)(154, 215)(155, 194)(156, 193)(157, 195)(158, 213)(159, 212)(160, 199)(161, 208)(162, 203)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1261
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 56
	degree seq :: [ 36^6 ]

E24.1265 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, Y3^9, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 36, 90, 144, 198, 37, 91, 145, 199, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 29, 83, 137, 191, 41, 95, 149, 203, 42, 96, 150, 204, 30, 84, 138, 192, 18, 72, 126, 180, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 34, 88, 142, 196, 46, 100, 154, 208, 47, 101, 155, 209, 35, 89, 143, 197, 23, 77, 131, 185, 11, 65, 119, 173)(6, 60, 114, 168, 15, 69, 123, 177, 27, 81, 135, 189, 39, 93, 147, 201, 49, 103, 157, 211, 50, 104, 158, 212, 40, 94, 148, 202, 28, 82, 136, 190, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182, 32, 86, 140, 194, 44, 98, 152, 206, 52, 106, 160, 214, 53, 107, 161, 215, 45, 99, 153, 207, 33, 87, 141, 195, 21, 75, 129, 183)(14, 68, 122, 176, 19, 73, 127, 181, 31, 85, 139, 193, 43, 97, 151, 205, 51, 105, 159, 213, 54, 108, 162, 216, 48, 102, 156, 210, 38, 92, 146, 200, 26, 80, 134, 188)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 80)(16, 73)(17, 67)(18, 66)(19, 70)(20, 65)(21, 64)(22, 87)(23, 86)(24, 84)(25, 83)(26, 69)(27, 92)(28, 85)(29, 79)(30, 78)(31, 82)(32, 77)(33, 76)(34, 99)(35, 98)(36, 96)(37, 95)(38, 81)(39, 102)(40, 97)(41, 91)(42, 90)(43, 94)(44, 89)(45, 88)(46, 107)(47, 106)(48, 93)(49, 108)(50, 105)(51, 104)(52, 101)(53, 100)(54, 103)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 182)(123, 170)(124, 169)(125, 190)(126, 189)(127, 171)(128, 176)(129, 193)(130, 175)(131, 174)(132, 197)(133, 196)(134, 194)(135, 180)(136, 179)(137, 202)(138, 201)(139, 183)(140, 188)(141, 205)(142, 187)(143, 186)(144, 209)(145, 208)(146, 206)(147, 192)(148, 191)(149, 212)(150, 211)(151, 195)(152, 200)(153, 213)(154, 199)(155, 198)(156, 214)(157, 204)(158, 203)(159, 207)(160, 210)(161, 216)(162, 215)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1262
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 56
	degree seq :: [ 36^6 ]

E24.1266 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 21, 75, 129, 183, 9, 63, 117, 171, 20, 74, 128, 182, 30, 84, 138, 192, 37, 91, 145, 199, 27, 81, 135, 189, 36, 90, 144, 198, 46, 100, 154, 208, 53, 107, 161, 215, 43, 97, 151, 205, 52, 106, 160, 214, 49, 103, 157, 211, 39, 93, 147, 201, 48, 102, 156, 210, 42, 96, 150, 204, 33, 87, 141, 195, 23, 77, 131, 185, 32, 86, 140, 194, 26, 80, 134, 188, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 25, 79, 133, 187, 14, 68, 122, 176, 24, 78, 132, 186, 34, 88, 142, 196, 41, 95, 149, 203, 31, 85, 139, 193, 40, 94, 148, 202, 50, 104, 158, 212, 51, 105, 159, 213, 47, 101, 155, 209, 54, 108, 162, 216, 45, 99, 153, 207, 35, 89, 143, 197, 44, 98, 152, 206, 38, 92, 146, 200, 29, 83, 137, 191, 19, 73, 127, 181, 28, 82, 136, 190, 22, 76, 130, 184, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 79)(16, 78)(17, 67)(18, 66)(19, 81)(20, 65)(21, 64)(22, 84)(23, 85)(24, 70)(25, 69)(26, 88)(27, 73)(28, 91)(29, 90)(30, 76)(31, 77)(32, 95)(33, 94)(34, 80)(35, 97)(36, 83)(37, 82)(38, 100)(39, 101)(40, 87)(41, 86)(42, 104)(43, 89)(44, 107)(45, 106)(46, 92)(47, 93)(48, 105)(49, 108)(50, 96)(51, 102)(52, 99)(53, 98)(54, 103)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 184)(121, 180)(122, 185)(123, 170)(124, 169)(125, 188)(126, 175)(127, 171)(128, 191)(129, 190)(130, 174)(131, 176)(132, 195)(133, 194)(134, 179)(135, 197)(136, 183)(137, 182)(138, 200)(139, 201)(140, 187)(141, 186)(142, 204)(143, 189)(144, 207)(145, 206)(146, 192)(147, 193)(148, 211)(149, 210)(150, 196)(151, 213)(152, 199)(153, 198)(154, 216)(155, 215)(156, 203)(157, 202)(158, 214)(159, 205)(160, 212)(161, 209)(162, 208)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1257
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 60
	degree seq :: [ 108^2 ]

E24.1267 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y1 * Y3^-1 * Y2 * Y3^12, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 20, 74, 128, 182, 28, 82, 136, 190, 36, 90, 144, 198, 44, 98, 152, 206, 52, 106, 160, 214, 49, 103, 157, 211, 41, 95, 149, 203, 33, 87, 141, 195, 25, 79, 133, 187, 17, 71, 125, 179, 9, 63, 117, 171, 6, 60, 114, 168, 14, 68, 122, 176, 22, 76, 130, 184, 30, 84, 138, 192, 38, 92, 146, 200, 46, 100, 154, 208, 53, 107, 161, 215, 45, 99, 153, 207, 37, 91, 145, 199, 29, 83, 137, 191, 21, 75, 129, 183, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 15, 69, 123, 177, 23, 77, 131, 185, 31, 85, 139, 193, 39, 93, 147, 201, 47, 101, 155, 209, 54, 108, 162, 216, 51, 105, 159, 213, 43, 97, 151, 205, 35, 89, 143, 197, 27, 81, 135, 189, 19, 73, 127, 181, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 18, 72, 126, 180, 26, 80, 134, 188, 34, 88, 142, 196, 42, 96, 150, 204, 50, 104, 158, 212, 48, 102, 156, 210, 40, 94, 148, 202, 32, 86, 140, 194, 24, 78, 132, 186, 16, 70, 124, 178, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 65)(7, 59)(8, 58)(9, 57)(10, 71)(11, 60)(12, 70)(13, 69)(14, 73)(15, 67)(16, 66)(17, 64)(18, 79)(19, 68)(20, 78)(21, 77)(22, 81)(23, 75)(24, 74)(25, 72)(26, 87)(27, 76)(28, 86)(29, 85)(30, 89)(31, 83)(32, 82)(33, 80)(34, 95)(35, 84)(36, 94)(37, 93)(38, 97)(39, 91)(40, 90)(41, 88)(42, 103)(43, 92)(44, 102)(45, 101)(46, 105)(47, 99)(48, 98)(49, 96)(50, 106)(51, 100)(52, 104)(53, 108)(54, 107)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 171)(116, 176)(117, 169)(118, 167)(119, 166)(120, 181)(121, 180)(122, 170)(123, 179)(124, 184)(125, 177)(126, 175)(127, 174)(128, 189)(129, 188)(130, 178)(131, 187)(132, 192)(133, 185)(134, 183)(135, 182)(136, 197)(137, 196)(138, 186)(139, 195)(140, 200)(141, 193)(142, 191)(143, 190)(144, 205)(145, 204)(146, 194)(147, 203)(148, 208)(149, 201)(150, 199)(151, 198)(152, 213)(153, 212)(154, 202)(155, 211)(156, 215)(157, 209)(158, 207)(159, 206)(160, 216)(161, 210)(162, 214)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1258
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 60
	degree seq :: [ 108^2 ]

E24.1268 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2, Y2 * Y3^7 * Y1, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 40, 94, 148, 202, 37, 91, 145, 199, 21, 75, 129, 183, 9, 63, 117, 171, 20, 74, 128, 182, 36, 90, 144, 198, 50, 104, 158, 212, 52, 106, 160, 214, 42, 96, 150, 204, 26, 80, 134, 188, 33, 87, 141, 195, 47, 101, 155, 209, 54, 108, 162, 216, 45, 99, 153, 207, 30, 84, 138, 192, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 29, 83, 137, 191, 41, 95, 149, 203, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 31, 85, 139, 193, 46, 100, 154, 208, 44, 98, 152, 206, 28, 82, 136, 190, 14, 68, 122, 176, 27, 81, 135, 189, 43, 97, 151, 205, 53, 107, 161, 215, 49, 103, 157, 211, 35, 89, 143, 197, 19, 73, 127, 181, 34, 88, 142, 196, 48, 102, 156, 210, 51, 105, 159, 213, 39, 93, 147, 201, 23, 77, 131, 185, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 38, 92, 146, 200, 32, 86, 140, 194, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 82)(16, 81)(17, 67)(18, 66)(19, 87)(20, 65)(21, 64)(22, 91)(23, 90)(24, 86)(25, 85)(26, 88)(27, 70)(28, 69)(29, 98)(30, 97)(31, 79)(32, 78)(33, 73)(34, 80)(35, 101)(36, 77)(37, 76)(38, 94)(39, 104)(40, 92)(41, 100)(42, 102)(43, 84)(44, 83)(45, 107)(46, 95)(47, 89)(48, 96)(49, 108)(50, 93)(51, 106)(52, 105)(53, 99)(54, 103)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 188)(123, 170)(124, 169)(125, 192)(126, 191)(127, 171)(128, 197)(129, 196)(130, 175)(131, 174)(132, 201)(133, 200)(134, 176)(135, 204)(136, 195)(137, 180)(138, 179)(139, 207)(140, 203)(141, 190)(142, 183)(143, 182)(144, 211)(145, 210)(146, 187)(147, 186)(148, 213)(149, 194)(150, 189)(151, 214)(152, 209)(153, 193)(154, 216)(155, 206)(156, 199)(157, 198)(158, 215)(159, 202)(160, 205)(161, 212)(162, 208)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1259
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 60
	degree seq :: [ 108^2 ]

E24.1269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2, (Y3, Y2), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 21, 75)(12, 66, 22, 76)(13, 67, 20, 74)(14, 68, 19, 73)(15, 69, 17, 71)(16, 70, 18, 72)(23, 77, 33, 87)(24, 78, 34, 88)(25, 79, 32, 86)(26, 80, 31, 85)(27, 81, 29, 83)(28, 82, 30, 84)(35, 89, 45, 99)(36, 90, 46, 100)(37, 91, 44, 98)(38, 92, 43, 97)(39, 93, 41, 95)(40, 94, 42, 96)(47, 101, 54, 108)(48, 102, 53, 107)(49, 103, 52, 106)(50, 104, 51, 105)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 147, 201, 135, 189, 123, 177, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 153, 207, 141, 195, 129, 183, 117, 171)(112, 166, 120, 174, 132, 186, 144, 198, 155, 209, 157, 211, 146, 200, 134, 188, 122, 176)(114, 168, 121, 175, 133, 187, 145, 199, 156, 210, 158, 212, 148, 202, 136, 190, 124, 178)(116, 170, 126, 180, 138, 192, 150, 204, 159, 213, 161, 215, 152, 206, 140, 194, 128, 182)(118, 172, 127, 181, 139, 193, 151, 205, 160, 214, 162, 216, 154, 208, 142, 196, 130, 184)
	L = (1, 112)(2, 116)(3, 120)(4, 121)(5, 122)(6, 109)(7, 126)(8, 127)(9, 128)(10, 110)(11, 132)(12, 133)(13, 111)(14, 114)(15, 134)(16, 113)(17, 138)(18, 139)(19, 115)(20, 118)(21, 140)(22, 117)(23, 144)(24, 145)(25, 119)(26, 124)(27, 146)(28, 123)(29, 150)(30, 151)(31, 125)(32, 130)(33, 152)(34, 129)(35, 155)(36, 156)(37, 131)(38, 136)(39, 157)(40, 135)(41, 159)(42, 160)(43, 137)(44, 142)(45, 161)(46, 141)(47, 158)(48, 143)(49, 148)(50, 147)(51, 162)(52, 149)(53, 154)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1275
Graph:: simple bipartite
	v = 33 e = 108 f = 29
	degree seq :: [ 4^27, 18^6 ]

E24.1270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^9, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 22, 76)(12, 66, 20, 74)(13, 67, 21, 75)(14, 68, 18, 72)(15, 69, 19, 73)(16, 70, 17, 71)(23, 77, 34, 88)(24, 78, 32, 86)(25, 79, 33, 87)(26, 80, 30, 84)(27, 81, 31, 85)(28, 82, 29, 83)(35, 89, 46, 100)(36, 90, 44, 98)(37, 91, 45, 99)(38, 92, 42, 96)(39, 93, 43, 97)(40, 94, 41, 95)(47, 101, 53, 107)(48, 102, 54, 108)(49, 103, 51, 105)(50, 104, 52, 106)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 148, 202, 136, 190, 124, 178, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 154, 208, 142, 196, 130, 184, 117, 171)(112, 166, 120, 174, 132, 186, 144, 198, 155, 209, 158, 212, 147, 201, 135, 189, 123, 177)(114, 168, 121, 175, 133, 187, 145, 199, 156, 210, 157, 211, 146, 200, 134, 188, 122, 176)(116, 170, 126, 180, 138, 192, 150, 204, 159, 213, 162, 216, 153, 207, 141, 195, 129, 183)(118, 172, 127, 181, 139, 193, 151, 205, 160, 214, 161, 215, 152, 206, 140, 194, 128, 182)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 126)(8, 128)(9, 129)(10, 110)(11, 132)(12, 114)(13, 111)(14, 113)(15, 134)(16, 135)(17, 138)(18, 118)(19, 115)(20, 117)(21, 140)(22, 141)(23, 144)(24, 121)(25, 119)(26, 124)(27, 146)(28, 147)(29, 150)(30, 127)(31, 125)(32, 130)(33, 152)(34, 153)(35, 155)(36, 133)(37, 131)(38, 136)(39, 157)(40, 158)(41, 159)(42, 139)(43, 137)(44, 142)(45, 161)(46, 162)(47, 145)(48, 143)(49, 148)(50, 156)(51, 151)(52, 149)(53, 154)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1276
Graph:: simple bipartite
	v = 33 e = 108 f = 29
	degree seq :: [ 4^27, 18^6 ]

E24.1271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^-3 * Y2^2, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 36, 90)(28, 82, 37, 91)(29, 83, 38, 92)(30, 84, 33, 87)(31, 85, 34, 88)(32, 86, 35, 89)(39, 93, 48, 102)(40, 94, 49, 103)(41, 95, 50, 104)(42, 96, 45, 99)(43, 97, 46, 100)(44, 98, 47, 101)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 147, 201, 150, 204, 138, 192, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 141, 195, 153, 207, 156, 210, 144, 198, 132, 186, 117, 171)(112, 166, 120, 174, 136, 190, 148, 202, 159, 213, 152, 206, 140, 194, 126, 180, 123, 177)(114, 168, 121, 175, 122, 176, 137, 191, 149, 203, 160, 214, 151, 205, 139, 193, 125, 179)(116, 170, 128, 182, 142, 196, 154, 208, 161, 215, 158, 212, 146, 200, 134, 188, 131, 185)(118, 172, 129, 183, 130, 184, 143, 197, 155, 209, 162, 216, 157, 211, 145, 199, 133, 187)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 137)(13, 111)(14, 119)(15, 121)(16, 126)(17, 113)(18, 114)(19, 142)(20, 143)(21, 115)(22, 127)(23, 129)(24, 134)(25, 117)(26, 118)(27, 148)(28, 149)(29, 135)(30, 140)(31, 124)(32, 125)(33, 154)(34, 155)(35, 141)(36, 146)(37, 132)(38, 133)(39, 159)(40, 160)(41, 147)(42, 152)(43, 138)(44, 139)(45, 161)(46, 162)(47, 153)(48, 158)(49, 144)(50, 145)(51, 151)(52, 150)(53, 157)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1280
Graph:: simple bipartite
	v = 33 e = 108 f = 29
	degree seq :: [ 4^27, 18^6 ]

E24.1272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^3 * Y2^2, Y2^9, Y2^9, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 38, 92)(28, 82, 37, 91)(29, 83, 36, 90)(30, 84, 35, 89)(31, 85, 34, 88)(32, 86, 33, 87)(39, 93, 50, 104)(40, 94, 49, 103)(41, 95, 48, 102)(42, 96, 47, 101)(43, 97, 46, 100)(44, 98, 45, 99)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 147, 201, 152, 206, 140, 194, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 141, 195, 153, 207, 158, 212, 146, 200, 132, 186, 117, 171)(112, 166, 120, 174, 126, 180, 137, 191, 149, 203, 160, 214, 151, 205, 139, 193, 123, 177)(114, 168, 121, 175, 136, 190, 148, 202, 159, 213, 150, 204, 138, 192, 122, 176, 125, 179)(116, 170, 128, 182, 134, 188, 143, 197, 155, 209, 162, 216, 157, 211, 145, 199, 131, 185)(118, 172, 129, 183, 142, 196, 154, 208, 161, 215, 156, 210, 144, 198, 130, 184, 133, 187)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 126)(12, 125)(13, 111)(14, 124)(15, 138)(16, 139)(17, 113)(18, 114)(19, 134)(20, 133)(21, 115)(22, 132)(23, 144)(24, 145)(25, 117)(26, 118)(27, 137)(28, 119)(29, 121)(30, 140)(31, 150)(32, 151)(33, 143)(34, 127)(35, 129)(36, 146)(37, 156)(38, 157)(39, 149)(40, 135)(41, 136)(42, 152)(43, 159)(44, 160)(45, 155)(46, 141)(47, 142)(48, 158)(49, 161)(50, 162)(51, 147)(52, 148)(53, 153)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1279
Graph:: simple bipartite
	v = 33 e = 108 f = 29
	degree seq :: [ 4^27, 18^6 ]

E24.1273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^2 * Y2 * Y3^4, Y2^3 * Y3^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 47, 101)(28, 82, 48, 102)(29, 83, 46, 100)(30, 84, 49, 103)(31, 85, 45, 99)(32, 86, 50, 104)(33, 87, 43, 97)(34, 88, 41, 95)(35, 89, 39, 93)(36, 90, 40, 94)(37, 91, 42, 96)(38, 92, 44, 98)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 140, 194, 146, 200, 143, 197, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 147, 201, 152, 206, 158, 212, 155, 209, 132, 186, 117, 171)(112, 166, 120, 174, 136, 190, 159, 213, 145, 199, 126, 180, 139, 193, 142, 196, 123, 177)(114, 168, 121, 175, 137, 191, 141, 195, 122, 176, 138, 192, 160, 214, 144, 198, 125, 179)(116, 170, 128, 182, 148, 202, 161, 215, 157, 211, 134, 188, 151, 205, 154, 208, 131, 185)(118, 172, 129, 183, 149, 203, 153, 207, 130, 184, 150, 204, 162, 216, 156, 210, 133, 187)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 138)(13, 111)(14, 140)(15, 141)(16, 142)(17, 113)(18, 114)(19, 148)(20, 150)(21, 115)(22, 152)(23, 153)(24, 154)(25, 117)(26, 118)(27, 159)(28, 160)(29, 119)(30, 146)(31, 121)(32, 145)(33, 135)(34, 137)(35, 139)(36, 124)(37, 125)(38, 126)(39, 161)(40, 162)(41, 127)(42, 158)(43, 129)(44, 157)(45, 147)(46, 149)(47, 151)(48, 132)(49, 133)(50, 134)(51, 144)(52, 143)(53, 156)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1278
Graph:: simple bipartite
	v = 33 e = 108 f = 29
	degree seq :: [ 4^27, 18^6 ]

E24.1274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^-6 * Y2, Y3 * Y2^2 * Y3^2 * Y2^2, Y2^-2 * Y3^2 * Y2^-3 * Y3, Y2^9, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 47, 101)(28, 82, 48, 102)(29, 83, 46, 100)(30, 84, 49, 103)(31, 85, 45, 99)(32, 86, 50, 104)(33, 87, 43, 97)(34, 88, 41, 95)(35, 89, 39, 93)(36, 90, 40, 94)(37, 91, 42, 96)(38, 92, 44, 98)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 146, 200, 140, 194, 143, 197, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 147, 201, 158, 212, 152, 206, 155, 209, 132, 186, 117, 171)(112, 166, 120, 174, 136, 190, 145, 199, 126, 180, 139, 193, 160, 214, 142, 196, 123, 177)(114, 168, 121, 175, 137, 191, 159, 213, 141, 195, 122, 176, 138, 192, 144, 198, 125, 179)(116, 170, 128, 182, 148, 202, 157, 211, 134, 188, 151, 205, 162, 216, 154, 208, 131, 185)(118, 172, 129, 183, 149, 203, 161, 215, 153, 207, 130, 184, 150, 204, 156, 210, 133, 187)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 138)(13, 111)(14, 140)(15, 141)(16, 142)(17, 113)(18, 114)(19, 148)(20, 150)(21, 115)(22, 152)(23, 153)(24, 154)(25, 117)(26, 118)(27, 145)(28, 144)(29, 119)(30, 143)(31, 121)(32, 139)(33, 146)(34, 159)(35, 160)(36, 124)(37, 125)(38, 126)(39, 157)(40, 156)(41, 127)(42, 155)(43, 129)(44, 151)(45, 158)(46, 161)(47, 162)(48, 132)(49, 133)(50, 134)(51, 135)(52, 137)(53, 147)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1277
Graph:: simple bipartite
	v = 33 e = 108 f = 29
	degree seq :: [ 4^27, 18^6 ]

E24.1275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-2, (Y2 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^9, Y1^27 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 15, 69, 23, 77, 31, 85, 39, 93, 47, 101, 46, 100, 38, 92, 30, 84, 22, 76, 14, 68, 6, 60, 4, 58, 9, 63, 17, 71, 25, 79, 33, 87, 41, 95, 49, 103, 45, 99, 37, 91, 29, 83, 21, 75, 13, 67, 5, 59)(3, 57, 10, 64, 19, 73, 27, 81, 35, 89, 43, 97, 51, 105, 54, 108, 50, 104, 42, 96, 34, 88, 26, 80, 18, 72, 12, 66, 11, 65, 20, 74, 28, 82, 36, 90, 44, 98, 52, 106, 53, 107, 48, 102, 40, 94, 32, 86, 24, 78, 16, 70, 8, 62)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 120, 174)(113, 167, 118, 172)(114, 168, 119, 173)(115, 169, 124, 178)(117, 171, 126, 180)(121, 175, 127, 181)(122, 176, 128, 182)(123, 177, 132, 186)(125, 179, 134, 188)(129, 183, 135, 189)(130, 184, 136, 190)(131, 185, 140, 194)(133, 187, 142, 196)(137, 191, 143, 197)(138, 192, 144, 198)(139, 193, 148, 202)(141, 195, 150, 204)(145, 199, 151, 205)(146, 200, 152, 206)(147, 201, 156, 210)(149, 203, 158, 212)(153, 207, 159, 213)(154, 208, 160, 214)(155, 209, 161, 215)(157, 211, 162, 216)
	L = (1, 112)(2, 117)(3, 119)(4, 110)(5, 114)(6, 109)(7, 125)(8, 120)(9, 115)(10, 128)(11, 118)(12, 111)(13, 122)(14, 113)(15, 133)(16, 126)(17, 123)(18, 116)(19, 136)(20, 127)(21, 130)(22, 121)(23, 141)(24, 134)(25, 131)(26, 124)(27, 144)(28, 135)(29, 138)(30, 129)(31, 149)(32, 142)(33, 139)(34, 132)(35, 152)(36, 143)(37, 146)(38, 137)(39, 157)(40, 150)(41, 147)(42, 140)(43, 160)(44, 151)(45, 154)(46, 145)(47, 153)(48, 158)(49, 155)(50, 148)(51, 161)(52, 159)(53, 162)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1269
Graph:: bipartite
	v = 29 e = 108 f = 33
	degree seq :: [ 4^27, 54^2 ]

E24.1276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3), (Y3 * Y2)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1 * Y3^2, (Y3 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-6, Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 19, 73, 35, 89, 34, 88, 17, 71, 6, 60, 10, 64, 22, 76, 38, 92, 47, 101, 31, 85, 14, 68, 18, 72, 25, 79, 41, 95, 48, 102, 32, 86, 15, 69, 4, 58, 9, 63, 21, 75, 37, 91, 33, 87, 16, 70, 5, 59)(3, 57, 11, 65, 26, 80, 43, 97, 51, 105, 40, 94, 24, 78, 13, 67, 28, 82, 45, 99, 53, 107, 52, 106, 42, 96, 29, 83, 30, 84, 46, 100, 54, 108, 50, 104, 39, 93, 23, 77, 12, 66, 27, 81, 44, 98, 49, 103, 36, 90, 20, 74, 8, 62)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 121, 175)(113, 167, 119, 173)(114, 168, 120, 174)(115, 169, 128, 182)(117, 171, 132, 186)(118, 172, 131, 185)(122, 176, 138, 192)(123, 177, 136, 190)(124, 178, 134, 188)(125, 179, 135, 189)(126, 180, 137, 191)(127, 181, 144, 198)(129, 183, 148, 202)(130, 184, 147, 201)(133, 187, 150, 204)(139, 193, 154, 208)(140, 194, 153, 207)(141, 195, 151, 205)(142, 196, 152, 206)(143, 197, 157, 211)(145, 199, 159, 213)(146, 200, 158, 212)(149, 203, 160, 214)(155, 209, 162, 216)(156, 210, 161, 215)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 123)(6, 109)(7, 129)(8, 131)(9, 126)(10, 110)(11, 135)(12, 137)(13, 111)(14, 125)(15, 139)(16, 140)(17, 113)(18, 114)(19, 145)(20, 147)(21, 133)(22, 115)(23, 150)(24, 116)(25, 118)(26, 152)(27, 138)(28, 119)(29, 132)(30, 121)(31, 142)(32, 155)(33, 156)(34, 124)(35, 141)(36, 158)(37, 149)(38, 127)(39, 160)(40, 128)(41, 130)(42, 148)(43, 157)(44, 154)(45, 134)(46, 136)(47, 143)(48, 146)(49, 162)(50, 161)(51, 144)(52, 159)(53, 151)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 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 E24.1270
Graph:: bipartite
	v = 29 e = 108 f = 33
	degree seq :: [ 4^27, 54^2 ]

E24.1277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 19, 73, 36, 90, 18, 72, 26, 80, 41, 95, 50, 104, 33, 87, 15, 69, 4, 58, 9, 63, 21, 75, 35, 89, 17, 71, 6, 60, 10, 64, 22, 76, 38, 92, 49, 103, 32, 86, 14, 68, 25, 79, 34, 88, 16, 70, 5, 59)(3, 57, 11, 65, 27, 81, 44, 98, 43, 97, 31, 85, 48, 102, 54, 108, 51, 105, 39, 93, 23, 77, 12, 66, 28, 82, 45, 99, 40, 94, 24, 78, 13, 67, 29, 83, 46, 100, 53, 107, 52, 106, 42, 96, 30, 84, 47, 101, 37, 91, 20, 74, 8, 62)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 121, 175)(113, 167, 119, 173)(114, 168, 120, 174)(115, 169, 128, 182)(117, 171, 132, 186)(118, 172, 131, 185)(122, 176, 139, 193)(123, 177, 137, 191)(124, 178, 135, 189)(125, 179, 136, 190)(126, 180, 138, 192)(127, 181, 145, 199)(129, 183, 148, 202)(130, 184, 147, 201)(133, 187, 151, 205)(134, 188, 150, 204)(140, 194, 156, 210)(141, 195, 154, 208)(142, 196, 152, 206)(143, 197, 153, 207)(144, 198, 155, 209)(146, 200, 159, 213)(149, 203, 160, 214)(157, 211, 162, 216)(158, 212, 161, 215)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 123)(6, 109)(7, 129)(8, 131)(9, 133)(10, 110)(11, 136)(12, 138)(13, 111)(14, 134)(15, 140)(16, 141)(17, 113)(18, 114)(19, 143)(20, 147)(21, 142)(22, 115)(23, 150)(24, 116)(25, 149)(26, 118)(27, 153)(28, 155)(29, 119)(30, 156)(31, 121)(32, 126)(33, 157)(34, 158)(35, 124)(36, 125)(37, 159)(38, 127)(39, 160)(40, 128)(41, 130)(42, 139)(43, 132)(44, 148)(45, 145)(46, 135)(47, 162)(48, 137)(49, 144)(50, 146)(51, 161)(52, 151)(53, 152)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 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 E24.1274
Graph:: bipartite
	v = 29 e = 108 f = 33
	degree seq :: [ 4^27, 54^2 ]

E24.1278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3, Y1^-1), (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^-6 * Y1^-1 * Y3^-1, (Y1 * Y3^-2)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 17, 71, 6, 60, 10, 64, 20, 74, 33, 87, 18, 72, 24, 78, 36, 90, 46, 100, 34, 88, 40, 94, 47, 101, 30, 84, 39, 93, 48, 102, 31, 85, 14, 68, 23, 77, 32, 86, 15, 69, 4, 58, 9, 63, 16, 70, 5, 59)(3, 57, 11, 65, 25, 79, 22, 76, 13, 67, 27, 81, 41, 95, 38, 92, 29, 83, 43, 97, 52, 106, 51, 105, 45, 99, 54, 108, 50, 104, 44, 98, 53, 107, 49, 103, 37, 91, 28, 82, 42, 96, 35, 89, 21, 75, 12, 66, 26, 80, 19, 73, 8, 62)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 121, 175)(113, 167, 119, 173)(114, 168, 120, 174)(115, 169, 127, 181)(117, 171, 130, 184)(118, 172, 129, 183)(122, 176, 137, 191)(123, 177, 135, 189)(124, 178, 133, 187)(125, 179, 134, 188)(126, 180, 136, 190)(128, 182, 143, 197)(131, 185, 146, 200)(132, 186, 145, 199)(138, 192, 153, 207)(139, 193, 151, 205)(140, 194, 149, 203)(141, 195, 150, 204)(142, 196, 152, 206)(144, 198, 157, 211)(147, 201, 159, 213)(148, 202, 158, 212)(154, 208, 161, 215)(155, 209, 162, 216)(156, 210, 160, 214)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 123)(6, 109)(7, 124)(8, 129)(9, 131)(10, 110)(11, 134)(12, 136)(13, 111)(14, 138)(15, 139)(16, 140)(17, 113)(18, 114)(19, 143)(20, 115)(21, 145)(22, 116)(23, 147)(24, 118)(25, 127)(26, 150)(27, 119)(28, 152)(29, 121)(30, 154)(31, 155)(32, 156)(33, 125)(34, 126)(35, 157)(36, 128)(37, 158)(38, 130)(39, 142)(40, 132)(41, 133)(42, 161)(43, 135)(44, 159)(45, 137)(46, 141)(47, 144)(48, 148)(49, 162)(50, 160)(51, 146)(52, 149)(53, 153)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 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 E24.1273
Graph:: bipartite
	v = 29 e = 108 f = 33
	degree seq :: [ 4^27, 54^2 ]

E24.1279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-3, (Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3^4 * Y1, Y1^-2 * Y3^-1 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 19, 73, 15, 69, 4, 58, 9, 63, 21, 75, 38, 92, 33, 87, 14, 68, 25, 79, 36, 90, 44, 98, 50, 104, 32, 86, 35, 89, 18, 72, 26, 80, 41, 95, 34, 88, 17, 71, 6, 60, 10, 64, 22, 76, 16, 70, 5, 59)(3, 57, 11, 65, 27, 81, 39, 93, 23, 77, 12, 66, 28, 82, 45, 99, 52, 106, 42, 96, 30, 84, 46, 100, 49, 103, 54, 108, 53, 107, 48, 102, 43, 97, 31, 85, 47, 101, 51, 105, 40, 94, 24, 78, 13, 67, 29, 83, 37, 91, 20, 74, 8, 62)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 121, 175)(113, 167, 119, 173)(114, 168, 120, 174)(115, 169, 128, 182)(117, 171, 132, 186)(118, 172, 131, 185)(122, 176, 139, 193)(123, 177, 137, 191)(124, 178, 135, 189)(125, 179, 136, 190)(126, 180, 138, 192)(127, 181, 145, 199)(129, 183, 148, 202)(130, 184, 147, 201)(133, 187, 151, 205)(134, 188, 150, 204)(140, 194, 157, 211)(141, 195, 155, 209)(142, 196, 153, 207)(143, 197, 154, 208)(144, 198, 156, 210)(146, 200, 159, 213)(149, 203, 160, 214)(152, 206, 161, 215)(158, 212, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 123)(6, 109)(7, 129)(8, 131)(9, 133)(10, 110)(11, 136)(12, 138)(13, 111)(14, 140)(15, 141)(16, 127)(17, 113)(18, 114)(19, 146)(20, 147)(21, 144)(22, 115)(23, 150)(24, 116)(25, 143)(26, 118)(27, 153)(28, 154)(29, 119)(30, 156)(31, 121)(32, 142)(33, 158)(34, 124)(35, 125)(36, 126)(37, 135)(38, 152)(39, 160)(40, 128)(41, 130)(42, 161)(43, 132)(44, 134)(45, 157)(46, 151)(47, 137)(48, 148)(49, 139)(50, 149)(51, 145)(52, 162)(53, 159)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1272
Graph:: bipartite
	v = 29 e = 108 f = 33
	degree seq :: [ 4^27, 54^2 ]

E24.1280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|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, Y1 * Y3^13, (Y3^-1 * Y1^-1)^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58, 8, 62, 12, 66, 16, 70, 20, 74, 24, 78, 28, 82, 32, 86, 36, 90, 40, 94, 44, 98, 48, 102, 52, 106, 46, 100, 45, 99, 38, 92, 37, 91, 30, 84, 29, 83, 22, 76, 21, 75, 14, 68, 13, 67, 6, 60, 5, 59)(3, 57, 9, 63, 10, 64, 17, 71, 18, 72, 25, 79, 26, 80, 33, 87, 34, 88, 41, 95, 42, 96, 49, 103, 50, 104, 54, 108, 53, 107, 51, 105, 47, 101, 43, 97, 39, 93, 35, 89, 31, 85, 27, 81, 23, 77, 19, 73, 15, 69, 11, 65, 7, 61)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 119, 173)(113, 167, 117, 171)(114, 168, 118, 172)(116, 170, 123, 177)(120, 174, 127, 181)(121, 175, 125, 179)(122, 176, 126, 180)(124, 178, 131, 185)(128, 182, 135, 189)(129, 183, 133, 187)(130, 184, 134, 188)(132, 186, 139, 193)(136, 190, 143, 197)(137, 191, 141, 195)(138, 192, 142, 196)(140, 194, 147, 201)(144, 198, 151, 205)(145, 199, 149, 203)(146, 200, 150, 204)(148, 202, 155, 209)(152, 206, 159, 213)(153, 207, 157, 211)(154, 208, 158, 212)(156, 210, 161, 215)(160, 214, 162, 216)
	L = (1, 112)(2, 116)(3, 118)(4, 120)(5, 110)(6, 109)(7, 117)(8, 124)(9, 125)(10, 126)(11, 111)(12, 128)(13, 113)(14, 114)(15, 115)(16, 132)(17, 133)(18, 134)(19, 119)(20, 136)(21, 121)(22, 122)(23, 123)(24, 140)(25, 141)(26, 142)(27, 127)(28, 144)(29, 129)(30, 130)(31, 131)(32, 148)(33, 149)(34, 150)(35, 135)(36, 152)(37, 137)(38, 138)(39, 139)(40, 156)(41, 157)(42, 158)(43, 143)(44, 160)(45, 145)(46, 146)(47, 147)(48, 154)(49, 162)(50, 161)(51, 151)(52, 153)(53, 155)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1271
Graph:: bipartite
	v = 29 e = 108 f = 33
	degree seq :: [ 4^27, 54^2 ]

E24.1281 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-2 * T2^6, T1^9, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 30, 16, 6, 15, 29, 43, 50, 40, 26, 39, 49, 54, 47, 36, 22, 34, 44, 38, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 42, 28, 14, 27, 41, 51, 53, 46, 35, 45, 52, 48, 37, 23, 11, 21, 33, 25, 13, 5)(55, 56, 60, 68, 80, 89, 76, 65, 58)(57, 61, 69, 81, 93, 99, 88, 75, 64)(59, 62, 70, 82, 94, 100, 90, 77, 66)(63, 71, 83, 95, 103, 106, 98, 87, 74)(67, 72, 84, 96, 104, 107, 101, 91, 78)(73, 85, 97, 105, 108, 102, 92, 79, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^9 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1292
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 54 f = 1
	degree seq :: [ 9^6, 54 ]

E24.1282 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-6 * T1^-2, T1^9, T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-3 * T1, T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^-2 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 45, 52, 48, 37, 47, 54, 51, 42, 28, 14, 27, 41, 32, 18, 8, 2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 44, 38, 22, 36, 46, 53, 50, 40, 26, 39, 49, 43, 30, 16, 6, 15, 29, 25, 13, 5)(55, 56, 60, 68, 80, 91, 76, 65, 58)(57, 61, 69, 81, 93, 101, 90, 75, 64)(59, 62, 70, 82, 94, 102, 92, 77, 66)(63, 71, 83, 95, 103, 108, 100, 89, 74)(67, 72, 84, 96, 104, 106, 98, 87, 78)(73, 85, 79, 86, 97, 105, 107, 99, 88)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^9 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1294
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 54 f = 1
	degree seq :: [ 9^6, 54 ]

E24.1283 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-6 * T1, T1^9, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 42, 41, 28, 14, 27, 40, 50, 49, 39, 26, 38, 48, 54, 52, 45, 34, 44, 51, 53, 46, 35, 22, 33, 43, 47, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(55, 56, 60, 68, 80, 88, 76, 65, 58)(57, 61, 69, 81, 92, 98, 87, 75, 64)(59, 62, 70, 82, 93, 99, 89, 77, 66)(63, 71, 83, 94, 102, 105, 97, 86, 74)(67, 72, 84, 95, 103, 106, 100, 90, 78)(73, 85, 96, 104, 108, 107, 101, 91, 79)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^9 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1290
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 54 f = 1
	degree seq :: [ 9^6, 54 ]

E24.1284 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^6, T1^9, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 43, 47, 36, 22, 34, 44, 51, 53, 46, 35, 45, 52, 54, 49, 39, 26, 38, 48, 50, 41, 28, 14, 27, 40, 42, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(55, 56, 60, 68, 80, 89, 76, 65, 58)(57, 61, 69, 81, 92, 99, 88, 75, 64)(59, 62, 70, 82, 93, 100, 90, 77, 66)(63, 71, 83, 94, 102, 106, 98, 87, 74)(67, 72, 84, 95, 103, 107, 101, 91, 78)(73, 79, 85, 96, 104, 108, 105, 97, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^9 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1295
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 54 f = 1
	degree seq :: [ 9^6, 54 ]

E24.1285 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^9, T1^-2 * T2^-2 * T1 * T2^-1 * T1 * T2^3, T1^-4 * T2^-6, T2^-1 * T1 * T2^-3 * T1^3 * T2^-2 * T1, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 50, 37, 54, 49, 32, 18, 8, 2, 7, 17, 31, 48, 38, 22, 36, 53, 47, 30, 16, 6, 15, 29, 46, 39, 23, 11, 21, 35, 52, 45, 28, 14, 27, 44, 40, 24, 12, 4, 10, 20, 34, 51, 43, 26, 42, 41, 25, 13, 5)(55, 56, 60, 68, 80, 91, 76, 65, 58)(57, 61, 69, 81, 96, 108, 90, 75, 64)(59, 62, 70, 82, 97, 104, 92, 77, 66)(63, 71, 83, 98, 95, 103, 107, 89, 74)(67, 72, 84, 99, 105, 87, 102, 93, 78)(73, 85, 100, 94, 79, 86, 101, 106, 88)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^9 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1291
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 54 f = 1
	degree seq :: [ 9^6, 54 ]

E24.1286 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-9, T1^9, T2^6 * 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 26, 42, 54, 40, 24, 12, 4, 10, 20, 34, 45, 28, 14, 27, 44, 53, 39, 23, 11, 21, 35, 47, 30, 16, 6, 15, 29, 46, 52, 38, 22, 36, 49, 32, 18, 8, 2, 7, 17, 31, 48, 51, 37, 50, 41, 25, 13, 5)(55, 56, 60, 68, 80, 91, 76, 65, 58)(57, 61, 69, 81, 96, 104, 90, 75, 64)(59, 62, 70, 82, 97, 105, 92, 77, 66)(63, 71, 83, 98, 108, 95, 103, 89, 74)(67, 72, 84, 99, 87, 102, 106, 93, 78)(73, 85, 100, 107, 94, 79, 86, 101, 88)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^9 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1293
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 54 f = 1
	degree seq :: [ 9^6, 54 ]

E24.1287 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T2^10 * T1^-1 * T2, (T1^-1 * T2^-1)^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 54, 46, 36, 26, 16, 6, 15, 25, 35, 45, 53, 50, 41, 31, 21, 11, 14, 24, 34, 44, 52, 51, 42, 32, 22, 12, 4, 10, 20, 30, 40, 49, 43, 33, 23, 13, 5)(55, 56, 60, 68, 64, 57, 61, 69, 78, 74, 63, 71, 79, 88, 84, 73, 81, 89, 98, 94, 83, 91, 99, 106, 103, 93, 101, 107, 105, 97, 102, 108, 104, 96, 87, 92, 100, 95, 86, 77, 82, 90, 85, 76, 67, 72, 80, 75, 66, 59, 62, 70, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1298
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.1288 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-2 * T2^-2 * T1^2 * T2, T1^-1 * T2^-1 * T1^-6, T2^-6 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^2 * T1^-1 * T2 * T1^-1 * T2^4 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 37, 23, 11, 21, 35, 49, 53, 42, 28, 14, 27, 41, 52, 46, 32, 18, 8, 2, 7, 17, 31, 45, 38, 24, 12, 4, 10, 20, 34, 48, 51, 40, 26, 22, 36, 50, 54, 44, 30, 16, 6, 15, 29, 43, 39, 25, 13, 5)(55, 56, 60, 68, 80, 77, 66, 59, 62, 70, 82, 94, 91, 78, 67, 72, 84, 96, 105, 101, 92, 79, 86, 98, 107, 102, 87, 99, 93, 100, 108, 103, 88, 73, 85, 97, 106, 104, 89, 74, 63, 71, 83, 95, 90, 75, 64, 57, 61, 69, 81, 76, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1296
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.1289 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T2^-1 * T1 * T2^-1 * T1 * T2^-2, T1^-3 * T2^-1 * T1^-10, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 49, 39, 48, 54, 52, 45, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 50, 53, 47, 44, 51, 46, 37, 28, 35, 30, 21, 11, 19, 13, 5)(55, 56, 60, 68, 77, 85, 93, 101, 99, 91, 83, 75, 66, 59, 62, 70, 79, 87, 95, 103, 107, 106, 100, 92, 84, 76, 67, 72, 63, 71, 80, 88, 96, 104, 108, 105, 97, 89, 81, 73, 64, 57, 61, 69, 78, 86, 94, 102, 98, 90, 82, 74, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^54 ) }
Outer automorphisms :: reflexible
Dual of E24.1297
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 6
	degree seq :: [ 54^2 ]

E24.1290 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-2 * T2^6, T1^9, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 43, 97, 50, 104, 40, 94, 26, 80, 39, 93, 49, 103, 54, 108, 47, 101, 36, 90, 22, 76, 34, 88, 44, 98, 38, 92, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 42, 96, 28, 82, 14, 68, 27, 81, 41, 95, 51, 105, 53, 107, 46, 100, 35, 89, 45, 99, 52, 106, 48, 102, 37, 91, 23, 77, 11, 65, 21, 75, 33, 87, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 89)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 73)(33, 74)(34, 75)(35, 76)(36, 77)(37, 78)(38, 79)(39, 99)(40, 100)(41, 103)(42, 104)(43, 105)(44, 87)(45, 88)(46, 90)(47, 91)(48, 92)(49, 106)(50, 107)(51, 108)(52, 98)(53, 101)(54, 102)
	local type(s) :: { ( 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1283
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 7
	degree seq :: [ 108 ]

E24.1291 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-6 * T1^-2, T1^9, T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-3 * T1, T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^-2 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 23, 77, 11, 65, 21, 75, 35, 89, 45, 99, 52, 106, 48, 102, 37, 91, 47, 101, 54, 108, 51, 105, 42, 96, 28, 82, 14, 68, 27, 81, 41, 95, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 44, 98, 38, 92, 22, 76, 36, 90, 46, 100, 53, 107, 50, 104, 40, 94, 26, 80, 39, 93, 49, 103, 43, 97, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 91)(27, 93)(28, 94)(29, 95)(30, 96)(31, 79)(32, 97)(33, 78)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 101)(40, 102)(41, 103)(42, 104)(43, 105)(44, 87)(45, 88)(46, 89)(47, 90)(48, 92)(49, 108)(50, 106)(51, 107)(52, 98)(53, 99)(54, 100)
	local type(s) :: { ( 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1285
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 7
	degree seq :: [ 108 ]

E24.1292 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-6 * T1, T1^9, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 42, 96, 41, 95, 28, 82, 14, 68, 27, 81, 40, 94, 50, 104, 49, 103, 39, 93, 26, 80, 38, 92, 48, 102, 54, 108, 52, 106, 45, 99, 34, 88, 44, 98, 51, 105, 53, 107, 46, 100, 35, 89, 22, 76, 33, 87, 43, 97, 47, 101, 36, 90, 23, 77, 11, 65, 21, 75, 32, 86, 37, 91, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 73)(26, 88)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 98)(39, 99)(40, 102)(41, 103)(42, 104)(43, 86)(44, 87)(45, 89)(46, 90)(47, 91)(48, 105)(49, 106)(50, 108)(51, 97)(52, 100)(53, 101)(54, 107)
	local type(s) :: { ( 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1281
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 7
	degree seq :: [ 108 ]

E24.1293 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^6, T1^9, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 32, 86, 37, 91, 23, 77, 11, 65, 21, 75, 33, 87, 43, 97, 47, 101, 36, 90, 22, 76, 34, 88, 44, 98, 51, 105, 53, 107, 46, 100, 35, 89, 45, 99, 52, 106, 54, 108, 49, 103, 39, 93, 26, 80, 38, 92, 48, 102, 50, 104, 41, 95, 28, 82, 14, 68, 27, 81, 40, 94, 42, 96, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 31, 85, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 79)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 85)(26, 89)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 73)(33, 74)(34, 75)(35, 76)(36, 77)(37, 78)(38, 99)(39, 100)(40, 102)(41, 103)(42, 104)(43, 86)(44, 87)(45, 88)(46, 90)(47, 91)(48, 106)(49, 107)(50, 108)(51, 97)(52, 98)(53, 101)(54, 105)
	local type(s) :: { ( 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1286
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 7
	degree seq :: [ 108 ]

E24.1294 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^9, T1^-2 * T2^-2 * T1 * T2^-1 * T1 * T2^3, T1^-4 * T2^-6, T2^-1 * T1 * T2^-3 * T1^3 * T2^-2 * T1, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 50, 104, 37, 91, 54, 108, 49, 103, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 48, 102, 38, 92, 22, 76, 36, 90, 53, 107, 47, 101, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 46, 100, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 52, 106, 45, 99, 28, 82, 14, 68, 27, 81, 44, 98, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 51, 105, 43, 97, 26, 80, 42, 96, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 91)(27, 96)(28, 97)(29, 98)(30, 99)(31, 100)(32, 101)(33, 102)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 103)(42, 108)(43, 104)(44, 95)(45, 105)(46, 94)(47, 106)(48, 93)(49, 107)(50, 92)(51, 87)(52, 88)(53, 89)(54, 90)
	local type(s) :: { ( 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1282
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 7
	degree seq :: [ 108 ]

E24.1295 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-9, T1^9, T2^6 * 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 43, 97, 26, 80, 42, 96, 54, 108, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 45, 99, 28, 82, 14, 68, 27, 81, 44, 98, 53, 107, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 47, 101, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 46, 100, 52, 106, 38, 92, 22, 76, 36, 90, 49, 103, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 48, 102, 51, 105, 37, 91, 50, 104, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 91)(27, 96)(28, 97)(29, 98)(30, 99)(31, 100)(32, 101)(33, 102)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 103)(42, 104)(43, 105)(44, 108)(45, 87)(46, 107)(47, 88)(48, 106)(49, 89)(50, 90)(51, 92)(52, 93)(53, 94)(54, 95)
	local type(s) :: { ( 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54, 9, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1284
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 7
	degree seq :: [ 108 ]

E24.1296 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^2 * T1^-6, T2^9, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 38, 92, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 43, 97, 44, 98, 32, 86, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 34, 88, 45, 99, 48, 102, 37, 91, 24, 78, 12, 66)(6, 60, 15, 69, 29, 83, 41, 95, 51, 105, 52, 106, 42, 96, 30, 84, 16, 70)(11, 65, 21, 75, 26, 80, 39, 93, 49, 103, 54, 108, 47, 101, 36, 90, 23, 77)(14, 68, 27, 81, 40, 94, 50, 104, 53, 107, 46, 100, 35, 89, 22, 76, 28, 82)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 74)(27, 93)(28, 75)(29, 94)(30, 76)(31, 95)(32, 96)(33, 97)(34, 73)(35, 77)(36, 78)(37, 79)(38, 98)(39, 88)(40, 103)(41, 104)(42, 89)(43, 105)(44, 106)(45, 87)(46, 90)(47, 91)(48, 92)(49, 99)(50, 108)(51, 107)(52, 100)(53, 101)(54, 102)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1288
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.1297 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-2 * T1^-6, T2^9, T1 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-4 * T1 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 38, 92, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 43, 97, 44, 98, 32, 86, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 34, 88, 45, 99, 48, 102, 37, 91, 24, 78, 12, 66)(6, 60, 15, 69, 29, 83, 41, 95, 51, 105, 52, 106, 42, 96, 30, 84, 16, 70)(11, 65, 21, 75, 35, 89, 46, 100, 53, 107, 49, 103, 39, 93, 26, 80, 23, 77)(14, 68, 27, 81, 22, 76, 36, 90, 47, 101, 54, 108, 50, 104, 40, 94, 28, 82)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 78)(27, 77)(28, 93)(29, 76)(30, 94)(31, 95)(32, 96)(33, 97)(34, 73)(35, 74)(36, 75)(37, 79)(38, 98)(39, 91)(40, 103)(41, 90)(42, 104)(43, 105)(44, 106)(45, 87)(46, 88)(47, 89)(48, 92)(49, 102)(50, 107)(51, 101)(52, 108)(53, 99)(54, 100)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1289
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.1298 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6 * T2, T2^9, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 31, 85, 37, 91, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 42, 96, 30, 84, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 32, 86, 43, 97, 47, 101, 36, 90, 24, 78, 12, 66)(6, 60, 15, 69, 27, 81, 39, 93, 49, 103, 50, 104, 40, 94, 28, 82, 16, 70)(11, 65, 21, 75, 33, 87, 44, 98, 51, 105, 53, 107, 46, 100, 35, 89, 23, 77)(14, 68, 22, 76, 34, 88, 45, 99, 52, 106, 54, 108, 48, 102, 38, 92, 26, 80)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 77)(15, 76)(16, 80)(17, 81)(18, 82)(19, 83)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 84)(26, 89)(27, 88)(28, 92)(29, 93)(30, 94)(31, 95)(32, 73)(33, 74)(34, 75)(35, 78)(36, 79)(37, 96)(38, 100)(39, 99)(40, 102)(41, 103)(42, 104)(43, 85)(44, 86)(45, 87)(46, 90)(47, 91)(48, 107)(49, 106)(50, 108)(51, 97)(52, 98)(53, 101)(54, 105)
	local type(s) :: { ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1287
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 2
	degree seq :: [ 18^6 ]

E24.1299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y3^-1), (R * Y1)^2, Y3 * Y2 * Y1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-5 * Y1^-1, Y3^-2 * Y1^7, Y3^-2 * Y1^2 * Y2^-3 * Y3^-2 * Y2^-1 * Y1 * Y2^-2, Y3 * Y1^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 39, 93, 47, 101, 36, 90, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 40, 94, 48, 102, 38, 92, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 41, 95, 49, 103, 54, 108, 46, 100, 35, 89, 20, 74)(13, 67, 18, 72, 30, 84, 42, 96, 50, 104, 52, 106, 44, 98, 33, 87, 24, 78)(19, 73, 31, 85, 25, 79, 32, 86, 43, 97, 51, 105, 53, 107, 45, 99, 34, 88)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 131, 185, 119, 173, 129, 183, 143, 197, 153, 207, 160, 214, 156, 210, 145, 199, 155, 209, 162, 216, 159, 213, 150, 204, 136, 190, 122, 176, 135, 189, 149, 203, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 152, 206, 146, 200, 130, 184, 144, 198, 154, 208, 161, 215, 158, 212, 148, 202, 134, 188, 147, 201, 157, 211, 151, 205, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 141)(25, 139)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 152)(34, 153)(35, 154)(36, 155)(37, 134)(38, 156)(39, 135)(40, 136)(41, 137)(42, 138)(43, 140)(44, 160)(45, 161)(46, 162)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 158)(53, 159)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1315
Graph:: bipartite
	v = 7 e = 108 f = 55
	degree seq :: [ 18^6, 108 ]

E24.1300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^5 * Y1^-1, Y1^9, Y1^3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-3, Y3^-1 * Y2^-1 * Y1 * 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, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 35, 89, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 39, 93, 45, 99, 34, 88, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 40, 94, 46, 100, 36, 90, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 41, 95, 49, 103, 52, 106, 44, 98, 33, 87, 20, 74)(13, 67, 18, 72, 30, 84, 42, 96, 50, 104, 53, 107, 47, 101, 37, 91, 24, 78)(19, 73, 31, 85, 43, 97, 51, 105, 54, 108, 48, 102, 38, 92, 25, 79, 32, 86)(109, 163, 111, 165, 117, 171, 127, 181, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 151, 205, 158, 212, 148, 202, 134, 188, 147, 201, 157, 211, 162, 216, 155, 209, 144, 198, 130, 184, 142, 196, 152, 206, 146, 200, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 150, 204, 136, 190, 122, 176, 135, 189, 149, 203, 159, 213, 161, 215, 154, 208, 143, 197, 153, 207, 160, 214, 156, 210, 145, 199, 131, 185, 119, 173, 129, 183, 141, 195, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 146)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 152)(34, 153)(35, 134)(36, 154)(37, 155)(38, 156)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 160)(45, 147)(46, 148)(47, 161)(48, 162)(49, 149)(50, 150)(51, 151)(52, 157)(53, 158)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1313
Graph:: bipartite
	v = 7 e = 108 f = 55
	degree seq :: [ 18^6, 108 ]

E24.1301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-6 * Y1, Y1^9, Y3^3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 34, 88, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 38, 92, 44, 98, 33, 87, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 39, 93, 45, 99, 35, 89, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 40, 94, 48, 102, 51, 105, 43, 97, 32, 86, 20, 74)(13, 67, 18, 72, 30, 84, 41, 95, 49, 103, 52, 106, 46, 100, 36, 90, 24, 78)(19, 73, 31, 85, 42, 96, 50, 104, 54, 108, 53, 107, 47, 101, 37, 91, 25, 79)(109, 163, 111, 165, 117, 171, 127, 181, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 150, 204, 149, 203, 136, 190, 122, 176, 135, 189, 148, 202, 158, 212, 157, 211, 147, 201, 134, 188, 146, 200, 156, 210, 162, 216, 160, 214, 153, 207, 142, 196, 152, 206, 159, 213, 161, 215, 154, 208, 143, 197, 130, 184, 141, 195, 151, 205, 155, 209, 144, 198, 131, 185, 119, 173, 129, 183, 140, 194, 145, 199, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 133)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 151)(33, 152)(34, 134)(35, 153)(36, 154)(37, 155)(38, 135)(39, 136)(40, 137)(41, 138)(42, 139)(43, 159)(44, 146)(45, 147)(46, 160)(47, 161)(48, 148)(49, 149)(50, 150)(51, 156)(52, 157)(53, 162)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1311
Graph:: bipartite
	v = 7 e = 108 f = 55
	degree seq :: [ 18^6, 108 ]

E24.1302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^4 * Y3^-1 * Y2^2, Y1^9, 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 * Y2^3 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 35, 89, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 38, 92, 45, 99, 34, 88, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 39, 93, 46, 100, 36, 90, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 40, 94, 48, 102, 52, 106, 44, 98, 33, 87, 20, 74)(13, 67, 18, 72, 30, 84, 41, 95, 49, 103, 53, 107, 47, 101, 37, 91, 24, 78)(19, 73, 25, 79, 31, 85, 42, 96, 50, 104, 54, 108, 51, 105, 43, 97, 32, 86)(109, 163, 111, 165, 117, 171, 127, 181, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 140, 194, 145, 199, 131, 185, 119, 173, 129, 183, 141, 195, 151, 205, 155, 209, 144, 198, 130, 184, 142, 196, 152, 206, 159, 213, 161, 215, 154, 208, 143, 197, 153, 207, 160, 214, 162, 216, 157, 211, 147, 201, 134, 188, 146, 200, 156, 210, 158, 212, 149, 203, 136, 190, 122, 176, 135, 189, 148, 202, 150, 204, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 139, 193, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 127)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 133)(32, 151)(33, 152)(34, 153)(35, 134)(36, 154)(37, 155)(38, 135)(39, 136)(40, 137)(41, 138)(42, 139)(43, 159)(44, 160)(45, 146)(46, 147)(47, 161)(48, 148)(49, 149)(50, 150)(51, 162)(52, 156)(53, 157)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1316
Graph:: bipartite
	v = 7 e = 108 f = 55
	degree seq :: [ 18^6, 108 ]

E24.1303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y1^9, Y3^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-2, Y3^2 * Y2^-1 * Y1^-1 * Y3 * Y2^-5, Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-3 * Y1^-2, Y1^3 * Y2^-4 * Y1^2 * Y2^-2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 54, 108, 36, 90, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 43, 97, 50, 104, 38, 92, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 44, 98, 41, 95, 49, 103, 53, 107, 35, 89, 20, 74)(13, 67, 18, 72, 30, 84, 45, 99, 51, 105, 33, 87, 48, 102, 39, 93, 24, 78)(19, 73, 31, 85, 46, 100, 40, 94, 25, 79, 32, 86, 47, 101, 52, 106, 34, 88)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 158, 212, 145, 199, 162, 216, 157, 211, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 156, 210, 146, 200, 130, 184, 144, 198, 161, 215, 155, 209, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 154, 208, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 160, 214, 153, 207, 136, 190, 122, 176, 135, 189, 152, 206, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 159, 213, 151, 205, 134, 188, 150, 204, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 147)(25, 148)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 159)(34, 160)(35, 161)(36, 162)(37, 134)(38, 158)(39, 156)(40, 154)(41, 152)(42, 135)(43, 136)(44, 137)(45, 138)(46, 139)(47, 140)(48, 141)(49, 149)(50, 151)(51, 153)(52, 155)(53, 157)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1312
Graph:: bipartite
	v = 7 e = 108 f = 55
	degree seq :: [ 18^6, 108 ]

E24.1304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y2^-1), (R * Y2)^2, Y1^9, Y2^3 * Y3 * Y2^3 * Y1^-3, Y2 * Y3 * Y2 * Y3^2 * Y2^4 * Y1^-1, Y1 * Y2 * Y1 * Y2^5 * Y1 * Y3^-2, (Y1^-3 * Y3^2)^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 50, 104, 36, 90, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 43, 97, 51, 105, 38, 92, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 44, 98, 54, 108, 41, 95, 49, 103, 35, 89, 20, 74)(13, 67, 18, 72, 30, 84, 45, 99, 33, 87, 48, 102, 52, 106, 39, 93, 24, 78)(19, 73, 31, 85, 46, 100, 53, 107, 40, 94, 25, 79, 32, 86, 47, 101, 34, 88)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 151, 205, 134, 188, 150, 204, 162, 216, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 153, 207, 136, 190, 122, 176, 135, 189, 152, 206, 161, 215, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 155, 209, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 154, 208, 160, 214, 146, 200, 130, 184, 144, 198, 157, 211, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 156, 210, 159, 213, 145, 199, 158, 212, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 147)(25, 148)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 153)(34, 155)(35, 157)(36, 158)(37, 134)(38, 159)(39, 160)(40, 161)(41, 162)(42, 135)(43, 136)(44, 137)(45, 138)(46, 139)(47, 140)(48, 141)(49, 149)(50, 150)(51, 151)(52, 156)(53, 154)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1314
Graph:: bipartite
	v = 7 e = 108 f = 55
	degree seq :: [ 18^6, 108 ]

E24.1305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^4 * Y1^-1 * Y2, Y1^9 * Y2^-1 * Y1^2, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 24, 78, 34, 88, 44, 98, 40, 94, 30, 84, 20, 74, 10, 64, 3, 57, 7, 61, 15, 69, 25, 79, 35, 89, 45, 99, 52, 106, 49, 103, 39, 93, 29, 83, 19, 73, 9, 63, 17, 71, 27, 81, 37, 91, 47, 101, 53, 107, 51, 105, 43, 97, 33, 87, 23, 77, 13, 67, 18, 72, 28, 82, 38, 92, 48, 102, 54, 108, 50, 104, 42, 96, 32, 86, 22, 76, 12, 66, 5, 59, 8, 62, 16, 70, 26, 80, 36, 90, 46, 100, 41, 95, 31, 85, 21, 75, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 136, 190, 124, 178, 114, 168, 123, 177, 135, 189, 146, 200, 134, 188, 122, 176, 133, 187, 145, 199, 156, 210, 144, 198, 132, 186, 143, 197, 155, 209, 162, 216, 154, 208, 142, 196, 153, 207, 161, 215, 158, 212, 149, 203, 152, 206, 160, 214, 159, 213, 150, 204, 139, 193, 148, 202, 157, 211, 151, 205, 140, 194, 129, 183, 138, 192, 147, 201, 141, 195, 130, 184, 119, 173, 128, 182, 137, 191, 131, 185, 120, 174, 112, 166, 118, 172, 127, 181, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 126)(10, 127)(11, 128)(12, 112)(13, 113)(14, 133)(15, 135)(16, 114)(17, 136)(18, 116)(19, 121)(20, 137)(21, 138)(22, 119)(23, 120)(24, 143)(25, 145)(26, 122)(27, 146)(28, 124)(29, 131)(30, 147)(31, 148)(32, 129)(33, 130)(34, 153)(35, 155)(36, 132)(37, 156)(38, 134)(39, 141)(40, 157)(41, 152)(42, 139)(43, 140)(44, 160)(45, 161)(46, 142)(47, 162)(48, 144)(49, 151)(50, 149)(51, 150)(52, 159)(53, 158)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1310
Graph:: bipartite
	v = 2 e = 108 f = 60
	degree seq :: [ 108^2 ]

E24.1306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-4 * Y1^-1 * Y2^-3, Y2^-7 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^2 * Y2^-3, Y1^-5 * Y2^-2 * Y1^-3, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 40, 94, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 44, 98, 52, 106, 48, 102, 34, 88, 19, 73, 31, 85, 45, 99, 53, 107, 50, 104, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 41, 95, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 51, 105, 47, 101, 33, 87, 25, 79, 32, 86, 46, 100, 54, 108, 49, 103, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 43, 97, 37, 91, 22, 76, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 155, 209, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 156, 210, 159, 213, 148, 202, 146, 200, 130, 184, 144, 198, 157, 211, 160, 214, 150, 204, 134, 188, 149, 203, 145, 199, 158, 212, 162, 216, 152, 206, 136, 190, 122, 176, 135, 189, 151, 205, 161, 215, 154, 208, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 153, 207, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 133, 187, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 149)(27, 151)(28, 122)(29, 153)(30, 124)(31, 133)(32, 126)(33, 132)(34, 155)(35, 156)(36, 157)(37, 158)(38, 130)(39, 131)(40, 146)(41, 145)(42, 134)(43, 161)(44, 136)(45, 140)(46, 138)(47, 147)(48, 159)(49, 160)(50, 162)(51, 148)(52, 150)(53, 154)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1309
Graph:: bipartite
	v = 2 e = 108 f = 60
	degree seq :: [ 108^2 ]

E24.1307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y1^-1 * Y2^-12, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 9, 63, 17, 71, 24, 78, 31, 85, 27, 81, 33, 87, 40, 94, 47, 101, 43, 97, 49, 103, 54, 108, 52, 106, 45, 99, 38, 92, 42, 96, 36, 90, 29, 83, 22, 76, 26, 80, 20, 74, 12, 66, 5, 59, 8, 62, 16, 70, 10, 64, 3, 57, 7, 61, 15, 69, 23, 77, 19, 73, 25, 79, 32, 86, 39, 93, 35, 89, 41, 95, 48, 102, 53, 107, 51, 105, 46, 100, 50, 104, 44, 98, 37, 91, 30, 84, 34, 88, 28, 82, 21, 75, 13, 67, 18, 72, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 127, 181, 135, 189, 143, 197, 151, 205, 159, 213, 153, 207, 145, 199, 137, 191, 129, 183, 120, 174, 112, 166, 118, 172, 122, 176, 131, 185, 139, 193, 147, 201, 155, 209, 161, 215, 160, 214, 152, 206, 144, 198, 136, 190, 128, 182, 119, 173, 124, 178, 114, 168, 123, 177, 132, 186, 140, 194, 148, 202, 156, 210, 162, 216, 158, 212, 150, 204, 142, 196, 134, 188, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 133, 187, 141, 195, 149, 203, 157, 211, 154, 208, 146, 200, 138, 192, 130, 184, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 122)(11, 124)(12, 112)(13, 113)(14, 131)(15, 132)(16, 114)(17, 133)(18, 116)(19, 135)(20, 119)(21, 120)(22, 121)(23, 139)(24, 140)(25, 141)(26, 126)(27, 143)(28, 128)(29, 129)(30, 130)(31, 147)(32, 148)(33, 149)(34, 134)(35, 151)(36, 136)(37, 137)(38, 138)(39, 155)(40, 156)(41, 157)(42, 142)(43, 159)(44, 144)(45, 145)(46, 146)(47, 161)(48, 162)(49, 154)(50, 150)(51, 153)(52, 152)(53, 160)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1308
Graph:: bipartite
	v = 2 e = 108 f = 60
	degree seq :: [ 108^2 ]

E24.1308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y2^-2 * Y3^6, Y2^9, 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)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 134, 188, 143, 197, 130, 184, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 135, 189, 147, 201, 153, 207, 142, 196, 129, 183, 118, 172)(113, 167, 116, 170, 124, 178, 136, 190, 148, 202, 154, 208, 144, 198, 131, 185, 120, 174)(117, 171, 125, 179, 137, 191, 149, 203, 157, 211, 160, 214, 152, 206, 141, 195, 128, 182)(121, 175, 126, 180, 138, 192, 150, 204, 158, 212, 161, 215, 155, 209, 145, 199, 132, 186)(127, 181, 139, 193, 151, 205, 159, 213, 162, 216, 156, 210, 146, 200, 133, 187, 140, 194)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 138)(20, 140)(21, 141)(22, 142)(23, 119)(24, 120)(25, 121)(26, 147)(27, 149)(28, 122)(29, 151)(30, 124)(31, 150)(32, 126)(33, 133)(34, 152)(35, 153)(36, 130)(37, 131)(38, 132)(39, 157)(40, 134)(41, 159)(42, 136)(43, 158)(44, 146)(45, 160)(46, 143)(47, 144)(48, 145)(49, 162)(50, 148)(51, 161)(52, 156)(53, 154)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 108, 108 ), ( 108^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1307
Graph:: simple bipartite
	v = 60 e = 108 f = 2
	degree seq :: [ 2^54, 18^6 ]

E24.1309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, Y2^-2 * Y3^-6, Y2^9, Y2^2 * Y3^-1 * Y2 * Y3^-2 * Y2^3 * Y3^-3 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 134, 188, 145, 199, 130, 184, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 135, 189, 147, 201, 155, 209, 144, 198, 129, 183, 118, 172)(113, 167, 116, 170, 124, 178, 136, 190, 148, 202, 156, 210, 146, 200, 131, 185, 120, 174)(117, 171, 125, 179, 137, 191, 149, 203, 157, 211, 162, 216, 154, 208, 143, 197, 128, 182)(121, 175, 126, 180, 138, 192, 150, 204, 158, 212, 160, 214, 152, 206, 141, 195, 132, 186)(127, 181, 139, 193, 133, 187, 140, 194, 151, 205, 159, 213, 161, 215, 153, 207, 142, 196)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 147)(27, 149)(28, 122)(29, 133)(30, 124)(31, 132)(32, 126)(33, 131)(34, 152)(35, 153)(36, 154)(37, 155)(38, 130)(39, 157)(40, 134)(41, 140)(42, 136)(43, 138)(44, 146)(45, 160)(46, 161)(47, 162)(48, 145)(49, 151)(50, 148)(51, 150)(52, 156)(53, 158)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 108, 108 ), ( 108^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1306
Graph:: simple bipartite
	v = 60 e = 108 f = 2
	degree seq :: [ 2^54, 18^6 ]

E24.1310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-6 * Y2, Y2^9, 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^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-3 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 134, 188, 142, 196, 130, 184, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 135, 189, 146, 200, 152, 206, 141, 195, 129, 183, 118, 172)(113, 167, 116, 170, 124, 178, 136, 190, 147, 201, 153, 207, 143, 197, 131, 185, 120, 174)(117, 171, 125, 179, 137, 191, 148, 202, 156, 210, 159, 213, 151, 205, 140, 194, 128, 182)(121, 175, 126, 180, 138, 192, 149, 203, 157, 211, 160, 214, 154, 208, 144, 198, 132, 186)(127, 181, 139, 193, 150, 204, 158, 212, 162, 216, 161, 215, 155, 209, 145, 199, 133, 187)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 126)(20, 133)(21, 140)(22, 141)(23, 119)(24, 120)(25, 121)(26, 146)(27, 148)(28, 122)(29, 150)(30, 124)(31, 138)(32, 145)(33, 151)(34, 152)(35, 130)(36, 131)(37, 132)(38, 156)(39, 134)(40, 158)(41, 136)(42, 149)(43, 155)(44, 159)(45, 142)(46, 143)(47, 144)(48, 162)(49, 147)(50, 157)(51, 161)(52, 153)(53, 154)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 108, 108 ), ( 108^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1305
Graph:: simple bipartite
	v = 60 e = 108 f = 2
	degree seq :: [ 2^54, 18^6 ]

E24.1311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-6, Y3^9, (Y3 * Y2^-1)^9, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 20, 74, 9, 63, 17, 71, 29, 83, 40, 94, 49, 103, 45, 99, 33, 87, 43, 97, 51, 105, 53, 107, 47, 101, 37, 91, 25, 79, 32, 86, 42, 96, 35, 89, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 39, 93, 34, 88, 19, 73, 31, 85, 41, 95, 50, 104, 54, 108, 48, 102, 38, 92, 44, 98, 52, 106, 46, 100, 36, 90, 24, 78, 13, 67, 18, 72, 30, 84, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 134)(22, 136)(23, 119)(24, 120)(25, 121)(26, 147)(27, 148)(28, 122)(29, 149)(30, 124)(31, 151)(32, 126)(33, 146)(34, 153)(35, 130)(36, 131)(37, 132)(38, 133)(39, 157)(40, 158)(41, 159)(42, 138)(43, 152)(44, 140)(45, 156)(46, 143)(47, 144)(48, 145)(49, 162)(50, 161)(51, 160)(52, 150)(53, 154)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 108 ), ( 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1301
Graph:: bipartite
	v = 55 e = 108 f = 7
	degree seq :: [ 2^54, 108 ]

E24.1312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-6, Y3^-9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 24, 78, 13, 67, 18, 72, 30, 84, 40, 94, 49, 103, 48, 102, 38, 92, 44, 98, 52, 106, 54, 108, 46, 100, 34, 88, 19, 73, 31, 85, 41, 95, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 39, 93, 37, 91, 25, 79, 32, 86, 42, 96, 50, 104, 53, 107, 45, 99, 33, 87, 43, 97, 51, 105, 47, 101, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 131)(27, 130)(28, 122)(29, 149)(30, 124)(31, 151)(32, 126)(33, 146)(34, 153)(35, 154)(36, 155)(37, 132)(38, 133)(39, 134)(40, 136)(41, 159)(42, 138)(43, 152)(44, 140)(45, 156)(46, 161)(47, 162)(48, 145)(49, 147)(50, 148)(51, 160)(52, 150)(53, 157)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 108 ), ( 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1303
Graph:: bipartite
	v = 55 e = 108 f = 7
	degree seq :: [ 2^54, 108 ]

E24.1313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, Y3^9, (Y3 * Y2^-1)^9, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 26, 80, 33, 87, 20, 74, 9, 63, 17, 71, 27, 81, 38, 92, 44, 98, 32, 86, 19, 73, 29, 83, 39, 93, 48, 102, 51, 105, 43, 97, 31, 85, 41, 95, 49, 103, 54, 108, 53, 107, 47, 101, 37, 91, 42, 96, 50, 104, 52, 106, 46, 100, 36, 90, 25, 79, 30, 84, 40, 94, 45, 99, 35, 89, 24, 78, 13, 67, 18, 72, 28, 82, 34, 88, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 134)(15, 135)(16, 114)(17, 137)(18, 116)(19, 139)(20, 140)(21, 141)(22, 122)(23, 119)(24, 120)(25, 121)(26, 146)(27, 147)(28, 124)(29, 149)(30, 126)(31, 145)(32, 151)(33, 152)(34, 130)(35, 131)(36, 132)(37, 133)(38, 156)(39, 157)(40, 136)(41, 150)(42, 138)(43, 155)(44, 159)(45, 142)(46, 143)(47, 144)(48, 162)(49, 158)(50, 148)(51, 161)(52, 153)(53, 154)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 108 ), ( 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1300
Graph:: bipartite
	v = 55 e = 108 f = 7
	degree seq :: [ 2^54, 108 ]

E24.1314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^3, (Y3 * Y2^-1)^9, Y1 * 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, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 26, 80, 35, 89, 24, 78, 13, 67, 18, 72, 28, 82, 38, 92, 46, 100, 36, 90, 25, 79, 30, 84, 40, 94, 48, 102, 53, 107, 47, 101, 37, 91, 42, 96, 50, 104, 54, 108, 51, 105, 43, 97, 31, 85, 41, 95, 49, 103, 52, 106, 44, 98, 32, 86, 19, 73, 29, 83, 39, 93, 45, 99, 33, 87, 20, 74, 9, 63, 17, 71, 27, 81, 34, 88, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 130)(15, 135)(16, 114)(17, 137)(18, 116)(19, 139)(20, 140)(21, 141)(22, 142)(23, 119)(24, 120)(25, 121)(26, 122)(27, 147)(28, 124)(29, 149)(30, 126)(31, 145)(32, 151)(33, 152)(34, 153)(35, 131)(36, 132)(37, 133)(38, 134)(39, 157)(40, 136)(41, 150)(42, 138)(43, 155)(44, 159)(45, 160)(46, 143)(47, 144)(48, 146)(49, 158)(50, 148)(51, 161)(52, 162)(53, 154)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 108 ), ( 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1304
Graph:: bipartite
	v = 55 e = 108 f = 7
	degree seq :: [ 2^54, 108 ]

E24.1315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-9, Y3^-4 * Y1^-6, (Y3 * Y2^-1)^9, Y3^27, Y3^36, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 42, 96, 41, 95, 50, 104, 54, 108, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 43, 97, 40, 94, 25, 79, 32, 86, 48, 102, 53, 107, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 45, 99, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 46, 100, 52, 106, 34, 88, 19, 73, 31, 85, 47, 101, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 44, 98, 51, 105, 33, 87, 49, 103, 37, 91, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 151)(27, 153)(28, 122)(29, 155)(30, 124)(31, 157)(32, 126)(33, 149)(34, 159)(35, 160)(36, 161)(37, 162)(38, 130)(39, 131)(40, 132)(41, 133)(42, 148)(43, 147)(44, 134)(45, 146)(46, 136)(47, 145)(48, 138)(49, 158)(50, 140)(51, 150)(52, 152)(53, 154)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 108 ), ( 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1299
Graph:: bipartite
	v = 55 e = 108 f = 7
	degree seq :: [ 2^54, 108 ]

E24.1316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^9, Y3^4 * Y1^-6, (Y3 * Y2^-1)^9, Y3^-27, Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2, Y3^36 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 42, 96, 33, 87, 49, 103, 51, 105, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 44, 98, 34, 88, 19, 73, 31, 85, 47, 101, 52, 106, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 46, 100, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 45, 99, 53, 107, 40, 94, 25, 79, 32, 86, 48, 102, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 43, 97, 54, 108, 41, 95, 50, 104, 37, 91, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 151)(27, 153)(28, 122)(29, 155)(30, 124)(31, 157)(32, 126)(33, 149)(34, 150)(35, 152)(36, 154)(37, 156)(38, 130)(39, 131)(40, 132)(41, 133)(42, 162)(43, 161)(44, 134)(45, 160)(46, 136)(47, 159)(48, 138)(49, 158)(50, 140)(51, 145)(52, 146)(53, 147)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 108 ), ( 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108, 18, 108 ) }
Outer automorphisms :: reflexible
Dual of E24.1302
Graph:: bipartite
	v = 55 e = 108 f = 7
	degree seq :: [ 2^54, 108 ]

E24.1317 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y2)^4, Y1^4 * Y2 * Y1^-3 * Y3, (Y2 * Y1 * Y3)^7 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 94, 38, 79, 23, 68, 12, 74, 18, 86, 30, 98, 42, 107, 51, 112, 56, 105, 49, 92, 36, 101, 45, 109, 53, 110, 54, 103, 47, 90, 34, 76, 20, 66, 10, 73, 17, 85, 29, 96, 40, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 89, 33, 102, 46, 99, 43, 87, 31, 77, 21, 91, 35, 104, 48, 111, 55, 108, 52, 100, 44, 88, 32, 80, 24, 95, 39, 106, 50, 97, 41, 84, 28, 72, 16, 64, 8, 60, 4, 67, 11, 78, 22, 93, 37, 83, 27, 71, 15, 63, 7, 59)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 36)(25, 33)(26, 37)(28, 42)(29, 43)(32, 45)(34, 48)(39, 49)(40, 46)(41, 51)(44, 53)(47, 55)(50, 56)(52, 54)(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, 97)(83, 96)(86, 100)(87, 101)(89, 103)(91, 105)(94, 106)(98, 108)(99, 109)(102, 110)(104, 112)(107, 111)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1320
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1318 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y2 * Y1^5 * Y3, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-2 * Y3, Y1^2 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 76, 20, 66, 10, 73, 17, 83, 27, 92, 36, 96, 40, 87, 31, 94, 38, 103, 47, 111, 55, 112, 56, 107, 51, 109, 53, 100, 44, 91, 35, 95, 39, 98, 42, 89, 33, 79, 23, 68, 12, 74, 18, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 72, 16, 64, 8, 60, 4, 67, 11, 78, 22, 88, 32, 85, 29, 80, 24, 90, 34, 99, 43, 108, 52, 105, 49, 101, 45, 110, 54, 104, 48, 97, 41, 106, 50, 102, 46, 93, 37, 84, 28, 77, 21, 86, 30, 82, 26, 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, 26)(16, 25)(17, 28)(20, 30)(22, 33)(24, 35)(27, 37)(29, 39)(31, 41)(32, 42)(34, 44)(36, 46)(38, 48)(40, 50)(43, 53)(45, 55)(47, 54)(49, 56)(51, 52)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 75)(71, 83)(74, 85)(77, 87)(79, 90)(81, 88)(82, 92)(84, 94)(86, 96)(89, 99)(91, 101)(93, 103)(95, 105)(97, 107)(98, 108)(100, 110)(102, 111)(104, 109)(106, 112)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1321
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1319 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^-3 * Y2 * Y3 * Y2 * Y3 * Y1^-3, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3, Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y1^-3 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 98, 42, 92, 36, 105, 49, 109, 53, 94, 38, 79, 23, 68, 12, 74, 18, 86, 30, 102, 46, 90, 34, 76, 20, 66, 10, 73, 17, 85, 29, 101, 45, 111, 55, 96, 40, 106, 50, 97, 41, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 89, 33, 104, 48, 88, 32, 80, 24, 95, 39, 110, 54, 103, 47, 87, 31, 77, 21, 91, 35, 100, 44, 84, 28, 72, 16, 64, 8, 60, 4, 67, 11, 78, 22, 93, 37, 108, 52, 107, 51, 112, 56, 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, 44)(36, 51)(37, 53)(39, 55)(41, 48)(42, 56)(45, 54)(49, 52)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 84)(71, 85)(74, 88)(75, 90)(77, 92)(79, 95)(81, 93)(82, 100)(83, 101)(86, 104)(87, 105)(89, 102)(91, 98)(94, 110)(96, 112)(97, 108)(99, 111)(103, 109)(106, 107)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1322
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1320 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^7, (Y3 * Y2)^4, (Y2 * Y1 * Y3)^28 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 88, 32, 82, 26, 71, 15, 63, 7, 59)(4, 67, 11, 78, 22, 92, 36, 83, 27, 72, 16, 64, 8, 60)(10, 73, 17, 84, 28, 95, 39, 100, 44, 89, 33, 76, 20, 66)(12, 74, 18, 85, 29, 96, 40, 103, 47, 93, 37, 79, 23, 68)(21, 90, 34, 101, 45, 108, 52, 105, 49, 97, 41, 86, 30, 77)(24, 94, 38, 104, 48, 110, 54, 106, 50, 98, 42, 87, 31, 80)(35, 99, 43, 107, 51, 111, 55, 112, 56, 109, 53, 102, 46, 91)
	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, 34)(22, 37)(24, 35)(25, 32)(27, 40)(28, 41)(31, 43)(33, 45)(36, 47)(38, 46)(39, 49)(42, 51)(44, 52)(48, 53)(50, 55)(54, 56)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 83)(71, 84)(74, 87)(75, 89)(77, 91)(79, 94)(81, 92)(82, 95)(85, 98)(86, 99)(88, 100)(90, 102)(93, 104)(96, 106)(97, 107)(101, 109)(103, 110)(105, 111)(108, 112)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1317
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1321 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^7, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^28 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 88, 32, 82, 26, 71, 15, 63, 7, 59)(4, 67, 11, 78, 22, 92, 36, 83, 27, 72, 16, 64, 8, 60)(10, 73, 17, 84, 28, 96, 40, 102, 46, 89, 33, 76, 20, 66)(12, 74, 18, 85, 29, 97, 41, 106, 50, 93, 37, 79, 23, 68)(21, 90, 34, 103, 47, 110, 54, 107, 51, 98, 42, 86, 30, 77)(24, 94, 38, 105, 49, 112, 56, 108, 52, 99, 43, 87, 31, 80)(35, 100, 44, 95, 39, 101, 45, 109, 53, 111, 55, 104, 48, 91)
	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, 34)(22, 37)(24, 39)(25, 32)(27, 41)(28, 42)(31, 45)(33, 47)(35, 49)(36, 50)(38, 44)(40, 51)(43, 53)(46, 54)(48, 56)(52, 55)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 83)(71, 84)(74, 87)(75, 89)(77, 91)(79, 94)(81, 92)(82, 96)(85, 99)(86, 100)(88, 102)(90, 104)(93, 105)(95, 98)(97, 108)(101, 107)(103, 111)(106, 112)(109, 110)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1318
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1322 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^7, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, (Y2 * Y1 * Y3)^28 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 88, 32, 82, 26, 71, 15, 63, 7, 59)(4, 67, 11, 78, 22, 92, 36, 83, 27, 72, 16, 64, 8, 60)(10, 73, 17, 84, 28, 96, 40, 102, 46, 89, 33, 76, 20, 66)(12, 74, 18, 85, 29, 97, 41, 104, 48, 93, 37, 79, 23, 68)(21, 90, 34, 103, 47, 110, 54, 107, 51, 98, 42, 86, 30, 77)(24, 94, 38, 105, 49, 111, 55, 108, 52, 99, 43, 87, 31, 80)(35, 100, 44, 109, 53, 112, 56, 106, 50, 95, 39, 101, 45, 91)
	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, 34)(22, 37)(24, 39)(25, 32)(27, 41)(28, 42)(31, 45)(33, 47)(35, 43)(36, 48)(38, 50)(40, 51)(44, 52)(46, 54)(49, 56)(53, 55)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 83)(71, 84)(74, 87)(75, 89)(77, 91)(79, 94)(81, 92)(82, 96)(85, 99)(86, 100)(88, 102)(90, 101)(93, 105)(95, 103)(97, 108)(98, 109)(104, 111)(106, 110)(107, 112)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1319
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1323 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^7, (Y2 * Y1)^4, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 32, 88, 18, 74, 8, 64)(3, 59, 10, 66, 22, 78, 37, 93, 38, 94, 23, 79, 11, 67)(6, 62, 15, 71, 29, 85, 43, 99, 44, 100, 30, 86, 16, 72)(9, 65, 20, 76, 35, 91, 47, 103, 48, 104, 36, 92, 21, 77)(14, 70, 27, 83, 41, 97, 51, 107, 52, 108, 42, 98, 28, 84)(19, 75, 33, 89, 45, 101, 53, 109, 54, 110, 46, 102, 34, 90)(26, 82, 39, 95, 49, 105, 55, 111, 56, 112, 50, 106, 40, 96)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 133)(123, 132)(124, 130)(125, 129)(127, 140)(128, 139)(131, 138)(134, 148)(135, 147)(136, 144)(137, 143)(141, 154)(142, 153)(145, 152)(146, 151)(149, 160)(150, 159)(155, 164)(156, 163)(157, 162)(158, 161)(165, 168)(166, 167)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 194)(185, 198)(186, 197)(188, 202)(189, 201)(192, 206)(193, 205)(195, 208)(196, 207)(199, 212)(200, 211)(203, 214)(204, 213)(209, 218)(210, 217)(215, 222)(216, 221)(219, 224)(220, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 112, 112 ), ( 112^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1332
Graph:: simple bipartite
	v = 64 e = 112 f = 2
	degree seq :: [ 2^56, 14^8 ]

E24.1324 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^7, Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 32, 88, 18, 74, 8, 64)(3, 59, 10, 66, 22, 78, 38, 94, 39, 95, 23, 79, 11, 67)(6, 62, 15, 71, 29, 85, 45, 101, 46, 102, 30, 86, 16, 72)(9, 65, 20, 76, 36, 92, 49, 105, 50, 106, 37, 93, 21, 77)(14, 70, 27, 83, 43, 99, 53, 109, 54, 110, 44, 100, 28, 84)(19, 75, 34, 90, 40, 96, 51, 107, 56, 112, 48, 104, 35, 91)(26, 82, 41, 97, 33, 89, 47, 103, 55, 111, 52, 108, 42, 98)(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, 152)(141, 156)(142, 155)(146, 153)(147, 159)(150, 162)(151, 161)(154, 163)(157, 166)(158, 165)(160, 167)(164, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 194)(185, 198)(186, 197)(188, 203)(189, 202)(192, 207)(193, 206)(195, 210)(196, 209)(199, 214)(200, 213)(201, 212)(204, 216)(205, 208)(211, 220)(215, 222)(217, 224)(218, 219)(221, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 112, 112 ), ( 112^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1334
Graph:: simple bipartite
	v = 64 e = 112 f = 2
	degree seq :: [ 2^56, 14^8 ]

E24.1325 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^7, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 32, 88, 18, 74, 8, 64)(3, 59, 10, 66, 22, 78, 38, 94, 39, 95, 23, 79, 11, 67)(6, 62, 15, 71, 29, 85, 45, 101, 46, 102, 30, 86, 16, 72)(9, 65, 20, 76, 36, 92, 49, 105, 50, 106, 37, 93, 21, 77)(14, 70, 27, 83, 43, 99, 53, 109, 54, 110, 44, 100, 28, 84)(19, 75, 34, 90, 48, 104, 56, 112, 51, 107, 40, 96, 35, 91)(26, 82, 41, 97, 52, 108, 55, 111, 47, 103, 33, 89, 42, 98)(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, 152)(141, 156)(142, 155)(146, 159)(147, 154)(150, 162)(151, 161)(153, 163)(157, 166)(158, 165)(160, 167)(164, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 194)(185, 198)(186, 197)(188, 203)(189, 202)(192, 207)(193, 206)(195, 210)(196, 209)(199, 214)(200, 213)(201, 211)(204, 208)(205, 216)(212, 220)(215, 221)(217, 219)(218, 224)(222, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 112, 112 ), ( 112^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1333
Graph:: simple bipartite
	v = 64 e = 112 f = 2
	degree seq :: [ 2^56, 14^8 ]

E24.1326 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^4, Y2 * Y3^-1 * Y1 * Y3^6, (Y3 * Y1 * Y2)^7 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 39, 95, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 45, 101, 54, 110, 52, 108, 42, 98, 26, 82, 41, 97, 51, 107, 56, 112, 49, 105, 36, 92, 21, 77, 9, 65, 20, 76, 35, 91, 40, 96, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 38, 94, 23, 79, 11, 67, 3, 59, 10, 66, 22, 78, 37, 93, 50, 106, 48, 104, 34, 90, 19, 75, 33, 89, 47, 103, 55, 111, 53, 109, 44, 100, 28, 84, 14, 70, 27, 83, 43, 99, 46, 102, 32, 88, 18, 74, 8, 64)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 133)(123, 132)(124, 130)(125, 129)(127, 140)(128, 139)(131, 138)(134, 148)(135, 147)(136, 144)(137, 143)(141, 156)(142, 155)(145, 154)(146, 153)(149, 161)(150, 152)(151, 158)(157, 165)(159, 164)(160, 163)(162, 168)(166, 167)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 194)(185, 198)(186, 197)(188, 202)(189, 201)(192, 206)(193, 205)(195, 210)(196, 209)(199, 207)(200, 213)(203, 216)(204, 215)(208, 218)(211, 220)(212, 219)(214, 222)(217, 223)(221, 224)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 28 ), ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1329
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1327 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 6, 62, 15, 71, 22, 78, 20, 76, 27, 83, 34, 90, 32, 88, 39, 95, 46, 102, 44, 100, 51, 107, 56, 112, 54, 110, 47, 103, 49, 105, 42, 98, 35, 91, 37, 93, 30, 86, 23, 79, 25, 81, 18, 74, 9, 65, 13, 69, 5, 61)(2, 58, 7, 63, 11, 67, 3, 59, 10, 66, 19, 75, 17, 73, 24, 80, 31, 87, 29, 85, 36, 92, 43, 99, 41, 97, 48, 104, 55, 111, 53, 109, 50, 106, 52, 108, 45, 101, 38, 94, 40, 96, 33, 89, 26, 82, 28, 84, 21, 77, 14, 70, 16, 72, 8, 64)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 130)(123, 125)(124, 128)(127, 133)(129, 135)(131, 137)(132, 138)(134, 140)(136, 142)(139, 145)(141, 147)(143, 149)(144, 150)(146, 152)(148, 154)(151, 157)(153, 159)(155, 161)(156, 162)(158, 164)(160, 166)(163, 165)(167, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 180)(176, 183)(177, 185)(181, 187)(182, 188)(184, 190)(186, 192)(189, 195)(191, 197)(193, 199)(194, 200)(196, 202)(198, 204)(201, 207)(203, 209)(205, 211)(206, 212)(208, 214)(210, 216)(213, 219)(215, 221)(217, 223)(218, 222)(220, 224)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 28 ), ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1331
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1328 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, Y3^28 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 9, 65, 16, 72, 6, 62, 15, 71, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 46, 102, 38, 94, 30, 86, 22, 78, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 56, 112, 55, 111, 47, 103, 39, 95, 31, 87, 23, 79, 14, 70, 11, 67, 3, 59, 10, 66, 20, 76, 28, 84, 36, 92, 44, 100, 52, 108, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 8, 64)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 131)(123, 128)(124, 130)(125, 129)(127, 135)(132, 139)(133, 138)(134, 137)(136, 143)(140, 147)(141, 146)(142, 145)(144, 151)(148, 155)(149, 154)(150, 153)(152, 159)(156, 163)(157, 162)(158, 161)(160, 167)(164, 165)(166, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 185)(180, 182)(181, 188)(186, 192)(187, 193)(189, 191)(190, 196)(194, 200)(195, 201)(197, 199)(198, 204)(202, 208)(203, 209)(205, 207)(206, 212)(210, 216)(211, 217)(213, 215)(214, 220)(218, 222)(219, 224)(221, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 28 ), ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1330
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1329 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^7, (Y2 * Y1)^4, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 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, 32, 88, 144, 200, 18, 74, 130, 186, 8, 64, 120, 176)(3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 37, 93, 149, 205, 38, 94, 150, 206, 23, 79, 135, 191, 11, 67, 123, 179)(6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 43, 99, 155, 211, 44, 100, 156, 212, 30, 86, 142, 198, 16, 72, 128, 184)(9, 65, 121, 177, 20, 76, 132, 188, 35, 91, 147, 203, 47, 103, 159, 215, 48, 104, 160, 216, 36, 92, 148, 204, 21, 77, 133, 189)(14, 70, 126, 182, 27, 83, 139, 195, 41, 97, 153, 209, 51, 107, 163, 219, 52, 108, 164, 220, 42, 98, 154, 210, 28, 84, 140, 196)(19, 75, 131, 187, 33, 89, 145, 201, 45, 101, 157, 213, 53, 109, 165, 221, 54, 110, 166, 222, 46, 102, 158, 214, 34, 90, 146, 202)(26, 82, 138, 194, 39, 95, 151, 207, 49, 105, 161, 217, 55, 111, 167, 223, 56, 112, 168, 224, 50, 106, 162, 218, 40, 96, 152, 208)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 77)(11, 76)(12, 74)(13, 73)(14, 62)(15, 84)(16, 83)(17, 69)(18, 68)(19, 82)(20, 67)(21, 66)(22, 92)(23, 91)(24, 88)(25, 87)(26, 75)(27, 72)(28, 71)(29, 98)(30, 97)(31, 81)(32, 80)(33, 96)(34, 95)(35, 79)(36, 78)(37, 104)(38, 103)(39, 90)(40, 89)(41, 86)(42, 85)(43, 108)(44, 107)(45, 106)(46, 105)(47, 94)(48, 93)(49, 102)(50, 101)(51, 100)(52, 99)(53, 112)(54, 111)(55, 110)(56, 109)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 187)(122, 173)(123, 172)(124, 191)(125, 190)(126, 194)(127, 176)(128, 175)(129, 198)(130, 197)(131, 177)(132, 202)(133, 201)(134, 181)(135, 180)(136, 206)(137, 205)(138, 182)(139, 208)(140, 207)(141, 186)(142, 185)(143, 212)(144, 211)(145, 189)(146, 188)(147, 214)(148, 213)(149, 193)(150, 192)(151, 196)(152, 195)(153, 218)(154, 217)(155, 200)(156, 199)(157, 204)(158, 203)(159, 222)(160, 221)(161, 210)(162, 209)(163, 224)(164, 223)(165, 216)(166, 215)(167, 220)(168, 219)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1326
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 28^8 ]

E24.1330 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^7, Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 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, 32, 88, 144, 200, 18, 74, 130, 186, 8, 64, 120, 176)(3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 38, 94, 150, 206, 39, 95, 151, 207, 23, 79, 135, 191, 11, 67, 123, 179)(6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 45, 101, 157, 213, 46, 102, 158, 214, 30, 86, 142, 198, 16, 72, 128, 184)(9, 65, 121, 177, 20, 76, 132, 188, 36, 92, 148, 204, 49, 105, 161, 217, 50, 106, 162, 218, 37, 93, 149, 205, 21, 77, 133, 189)(14, 70, 126, 182, 27, 83, 139, 195, 43, 99, 155, 211, 53, 109, 165, 221, 54, 110, 166, 222, 44, 100, 156, 212, 28, 84, 140, 196)(19, 75, 131, 187, 34, 90, 146, 202, 40, 96, 152, 208, 51, 107, 163, 219, 56, 112, 168, 224, 48, 104, 160, 216, 35, 91, 147, 203)(26, 82, 138, 194, 41, 97, 153, 209, 33, 89, 145, 201, 47, 103, 159, 215, 55, 111, 167, 223, 52, 108, 164, 220, 42, 98, 154, 210)
	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, 96)(27, 72)(28, 71)(29, 100)(30, 99)(31, 81)(32, 80)(33, 75)(34, 97)(35, 103)(36, 79)(37, 78)(38, 106)(39, 105)(40, 82)(41, 90)(42, 107)(43, 86)(44, 85)(45, 110)(46, 109)(47, 91)(48, 111)(49, 95)(50, 94)(51, 98)(52, 112)(53, 102)(54, 101)(55, 104)(56, 108)(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, 210)(140, 209)(141, 186)(142, 185)(143, 214)(144, 213)(145, 212)(146, 189)(147, 188)(148, 216)(149, 208)(150, 193)(151, 192)(152, 205)(153, 196)(154, 195)(155, 220)(156, 201)(157, 200)(158, 199)(159, 222)(160, 204)(161, 224)(162, 219)(163, 218)(164, 211)(165, 223)(166, 215)(167, 221)(168, 217)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1328
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 28^8 ]

E24.1331 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^7, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 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, 32, 88, 144, 200, 18, 74, 130, 186, 8, 64, 120, 176)(3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 38, 94, 150, 206, 39, 95, 151, 207, 23, 79, 135, 191, 11, 67, 123, 179)(6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 45, 101, 157, 213, 46, 102, 158, 214, 30, 86, 142, 198, 16, 72, 128, 184)(9, 65, 121, 177, 20, 76, 132, 188, 36, 92, 148, 204, 49, 105, 161, 217, 50, 106, 162, 218, 37, 93, 149, 205, 21, 77, 133, 189)(14, 70, 126, 182, 27, 83, 139, 195, 43, 99, 155, 211, 53, 109, 165, 221, 54, 110, 166, 222, 44, 100, 156, 212, 28, 84, 140, 196)(19, 75, 131, 187, 34, 90, 146, 202, 48, 104, 160, 216, 56, 112, 168, 224, 51, 107, 163, 219, 40, 96, 152, 208, 35, 91, 147, 203)(26, 82, 138, 194, 41, 97, 153, 209, 52, 108, 164, 220, 55, 111, 167, 223, 47, 103, 159, 215, 33, 89, 145, 201, 42, 98, 154, 210)
	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, 96)(27, 72)(28, 71)(29, 100)(30, 99)(31, 81)(32, 80)(33, 75)(34, 103)(35, 98)(36, 79)(37, 78)(38, 106)(39, 105)(40, 82)(41, 107)(42, 91)(43, 86)(44, 85)(45, 110)(46, 109)(47, 90)(48, 111)(49, 95)(50, 94)(51, 97)(52, 112)(53, 102)(54, 101)(55, 104)(56, 108)(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, 210)(140, 209)(141, 186)(142, 185)(143, 214)(144, 213)(145, 211)(146, 189)(147, 188)(148, 208)(149, 216)(150, 193)(151, 192)(152, 204)(153, 196)(154, 195)(155, 201)(156, 220)(157, 200)(158, 199)(159, 221)(160, 205)(161, 219)(162, 224)(163, 217)(164, 212)(165, 215)(166, 223)(167, 222)(168, 218)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1327
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 28^8 ]

E24.1332 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^4, Y2 * Y3^-1 * Y1 * Y3^6, (Y3 * Y1 * Y2)^7 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 39, 95, 151, 207, 30, 86, 142, 198, 16, 72, 128, 184, 6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 45, 101, 157, 213, 54, 110, 166, 222, 52, 108, 164, 220, 42, 98, 154, 210, 26, 82, 138, 194, 41, 97, 153, 209, 51, 107, 163, 219, 56, 112, 168, 224, 49, 105, 161, 217, 36, 92, 148, 204, 21, 77, 133, 189, 9, 65, 121, 177, 20, 76, 132, 188, 35, 91, 147, 203, 40, 96, 152, 208, 25, 81, 137, 193, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 17, 73, 129, 185, 31, 87, 143, 199, 38, 94, 150, 206, 23, 79, 135, 191, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 37, 93, 149, 205, 50, 106, 162, 218, 48, 104, 160, 216, 34, 90, 146, 202, 19, 75, 131, 187, 33, 89, 145, 201, 47, 103, 159, 215, 55, 111, 167, 223, 53, 109, 165, 221, 44, 100, 156, 212, 28, 84, 140, 196, 14, 70, 126, 182, 27, 83, 139, 195, 43, 99, 155, 211, 46, 102, 158, 214, 32, 88, 144, 200, 18, 74, 130, 186, 8, 64, 120, 176)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 77)(11, 76)(12, 74)(13, 73)(14, 62)(15, 84)(16, 83)(17, 69)(18, 68)(19, 82)(20, 67)(21, 66)(22, 92)(23, 91)(24, 88)(25, 87)(26, 75)(27, 72)(28, 71)(29, 100)(30, 99)(31, 81)(32, 80)(33, 98)(34, 97)(35, 79)(36, 78)(37, 105)(38, 96)(39, 102)(40, 94)(41, 90)(42, 89)(43, 86)(44, 85)(45, 109)(46, 95)(47, 108)(48, 107)(49, 93)(50, 112)(51, 104)(52, 103)(53, 101)(54, 111)(55, 110)(56, 106)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 187)(122, 173)(123, 172)(124, 191)(125, 190)(126, 194)(127, 176)(128, 175)(129, 198)(130, 197)(131, 177)(132, 202)(133, 201)(134, 181)(135, 180)(136, 206)(137, 205)(138, 182)(139, 210)(140, 209)(141, 186)(142, 185)(143, 207)(144, 213)(145, 189)(146, 188)(147, 216)(148, 215)(149, 193)(150, 192)(151, 199)(152, 218)(153, 196)(154, 195)(155, 220)(156, 219)(157, 200)(158, 222)(159, 204)(160, 203)(161, 223)(162, 208)(163, 212)(164, 211)(165, 224)(166, 214)(167, 217)(168, 221)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1323
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 112 f = 64
	degree seq :: [ 112^2 ]

E24.1333 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 6, 62, 118, 174, 15, 71, 127, 183, 22, 78, 134, 190, 20, 76, 132, 188, 27, 83, 139, 195, 34, 90, 146, 202, 32, 88, 144, 200, 39, 95, 151, 207, 46, 102, 158, 214, 44, 100, 156, 212, 51, 107, 163, 219, 56, 112, 168, 224, 54, 110, 166, 222, 47, 103, 159, 215, 49, 105, 161, 217, 42, 98, 154, 210, 35, 91, 147, 203, 37, 93, 149, 205, 30, 86, 142, 198, 23, 79, 135, 191, 25, 81, 137, 193, 18, 74, 130, 186, 9, 65, 121, 177, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 19, 75, 131, 187, 17, 73, 129, 185, 24, 80, 136, 192, 31, 87, 143, 199, 29, 85, 141, 197, 36, 92, 148, 204, 43, 99, 155, 211, 41, 97, 153, 209, 48, 104, 160, 216, 55, 111, 167, 223, 53, 109, 165, 221, 50, 106, 162, 218, 52, 108, 164, 220, 45, 101, 157, 213, 38, 94, 150, 206, 40, 96, 152, 208, 33, 89, 145, 201, 26, 82, 138, 194, 28, 84, 140, 196, 21, 77, 133, 189, 14, 70, 126, 182, 16, 72, 128, 184, 8, 64, 120, 176)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 74)(11, 69)(12, 72)(13, 67)(14, 62)(15, 77)(16, 68)(17, 79)(18, 66)(19, 81)(20, 82)(21, 71)(22, 84)(23, 73)(24, 86)(25, 75)(26, 76)(27, 89)(28, 78)(29, 91)(30, 80)(31, 93)(32, 94)(33, 83)(34, 96)(35, 85)(36, 98)(37, 87)(38, 88)(39, 101)(40, 90)(41, 103)(42, 92)(43, 105)(44, 106)(45, 95)(46, 108)(47, 97)(48, 110)(49, 99)(50, 100)(51, 109)(52, 102)(53, 107)(54, 104)(55, 112)(56, 111)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 180)(120, 183)(121, 185)(122, 173)(123, 172)(124, 175)(125, 187)(126, 188)(127, 176)(128, 190)(129, 177)(130, 192)(131, 181)(132, 182)(133, 195)(134, 184)(135, 197)(136, 186)(137, 199)(138, 200)(139, 189)(140, 202)(141, 191)(142, 204)(143, 193)(144, 194)(145, 207)(146, 196)(147, 209)(148, 198)(149, 211)(150, 212)(151, 201)(152, 214)(153, 203)(154, 216)(155, 205)(156, 206)(157, 219)(158, 208)(159, 221)(160, 210)(161, 223)(162, 222)(163, 213)(164, 224)(165, 215)(166, 218)(167, 217)(168, 220)
	local type(s) :: { ( 2, 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 E24.1325
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 112 f = 64
	degree seq :: [ 112^2 ]

E24.1334 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, Y3^28 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 21, 77, 133, 189, 29, 85, 141, 197, 37, 93, 149, 205, 45, 101, 157, 213, 53, 109, 165, 221, 51, 107, 163, 219, 43, 99, 155, 211, 35, 91, 147, 203, 27, 83, 139, 195, 19, 75, 131, 187, 9, 65, 121, 177, 16, 72, 128, 184, 6, 62, 118, 174, 15, 71, 127, 183, 24, 80, 136, 192, 32, 88, 144, 200, 40, 96, 152, 208, 48, 104, 160, 216, 54, 110, 166, 222, 46, 102, 158, 214, 38, 94, 150, 206, 30, 86, 142, 198, 22, 78, 134, 190, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 17, 73, 129, 185, 25, 81, 137, 193, 33, 89, 145, 201, 41, 97, 153, 209, 49, 105, 161, 217, 56, 112, 168, 224, 55, 111, 167, 223, 47, 103, 159, 215, 39, 95, 151, 207, 31, 87, 143, 199, 23, 79, 135, 191, 14, 70, 126, 182, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 20, 76, 132, 188, 28, 84, 140, 196, 36, 92, 148, 204, 44, 100, 156, 212, 52, 108, 164, 220, 50, 106, 162, 218, 42, 98, 154, 210, 34, 90, 146, 202, 26, 82, 138, 194, 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, 75)(11, 72)(12, 74)(13, 73)(14, 62)(15, 79)(16, 67)(17, 69)(18, 68)(19, 66)(20, 83)(21, 82)(22, 81)(23, 71)(24, 87)(25, 78)(26, 77)(27, 76)(28, 91)(29, 90)(30, 89)(31, 80)(32, 95)(33, 86)(34, 85)(35, 84)(36, 99)(37, 98)(38, 97)(39, 88)(40, 103)(41, 94)(42, 93)(43, 92)(44, 107)(45, 106)(46, 105)(47, 96)(48, 111)(49, 102)(50, 101)(51, 100)(52, 109)(53, 108)(54, 112)(55, 104)(56, 110)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 185)(122, 173)(123, 172)(124, 182)(125, 188)(126, 180)(127, 176)(128, 175)(129, 177)(130, 192)(131, 193)(132, 181)(133, 191)(134, 196)(135, 189)(136, 186)(137, 187)(138, 200)(139, 201)(140, 190)(141, 199)(142, 204)(143, 197)(144, 194)(145, 195)(146, 208)(147, 209)(148, 198)(149, 207)(150, 212)(151, 205)(152, 202)(153, 203)(154, 216)(155, 217)(156, 206)(157, 215)(158, 220)(159, 213)(160, 210)(161, 211)(162, 222)(163, 224)(164, 214)(165, 223)(166, 218)(167, 221)(168, 219)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1324
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 112 f = 64
	degree seq :: [ 112^2 ]

E24.1335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y3^4, Y2^7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 23, 79)(12, 68, 24, 80)(13, 69, 22, 78)(14, 70, 21, 77)(15, 71, 20, 76)(16, 72, 18, 74)(17, 73, 19, 75)(25, 81, 39, 95)(26, 82, 40, 96)(27, 83, 38, 94)(28, 84, 37, 93)(29, 85, 36, 92)(30, 86, 35, 91)(31, 87, 33, 89)(32, 88, 34, 90)(41, 97, 52, 108)(42, 98, 51, 107)(43, 99, 50, 106)(44, 100, 49, 105)(45, 101, 48, 104)(46, 102, 47, 103)(53, 109, 56, 112)(54, 110, 55, 111)(113, 169, 115, 171, 123, 179, 137, 193, 143, 199, 128, 184, 117, 173)(114, 170, 119, 175, 130, 186, 145, 201, 151, 207, 135, 191, 121, 177)(116, 172, 124, 180, 138, 194, 153, 209, 157, 213, 142, 198, 127, 183)(118, 174, 125, 181, 139, 195, 154, 210, 158, 214, 144, 200, 129, 185)(120, 176, 131, 187, 146, 202, 159, 215, 163, 219, 150, 206, 134, 190)(122, 178, 132, 188, 147, 203, 160, 216, 164, 220, 152, 208, 136, 192)(126, 182, 140, 196, 155, 211, 165, 221, 166, 222, 156, 212, 141, 197)(133, 189, 148, 204, 161, 217, 167, 223, 168, 224, 162, 218, 149, 205)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 138)(12, 140)(13, 115)(14, 118)(15, 141)(16, 142)(17, 117)(18, 146)(19, 148)(20, 119)(21, 122)(22, 149)(23, 150)(24, 121)(25, 153)(26, 155)(27, 123)(28, 125)(29, 129)(30, 156)(31, 157)(32, 128)(33, 159)(34, 161)(35, 130)(36, 132)(37, 136)(38, 162)(39, 163)(40, 135)(41, 165)(42, 137)(43, 139)(44, 144)(45, 166)(46, 143)(47, 167)(48, 145)(49, 147)(50, 152)(51, 168)(52, 151)(53, 154)(54, 158)(55, 160)(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, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1342
Graph:: simple bipartite
	v = 36 e = 112 f = 30
	degree seq :: [ 4^28, 14^8 ]

E24.1336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^-3 * Y3^4, Y2^7, (Y2^-1 * Y3)^28 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 47, 103)(28, 84, 48, 104)(29, 85, 46, 102)(30, 86, 49, 105)(31, 87, 45, 101)(32, 88, 50, 106)(33, 89, 43, 99)(34, 90, 41, 97)(35, 91, 39, 95)(36, 92, 40, 96)(37, 93, 42, 98)(38, 94, 44, 100)(51, 107, 56, 112)(52, 108, 55, 111)(53, 109, 54, 110)(113, 169, 115, 171, 123, 179, 139, 195, 147, 203, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 151, 207, 159, 215, 136, 192, 121, 177)(116, 172, 124, 180, 140, 196, 163, 219, 150, 206, 146, 202, 127, 183)(118, 174, 125, 181, 141, 197, 144, 200, 165, 221, 148, 204, 129, 185)(120, 176, 132, 188, 152, 208, 166, 222, 162, 218, 158, 214, 135, 191)(122, 178, 133, 189, 153, 209, 156, 212, 168, 224, 160, 216, 137, 193)(126, 182, 142, 198, 164, 220, 149, 205, 130, 186, 143, 199, 145, 201)(134, 190, 154, 210, 167, 223, 161, 217, 138, 194, 155, 211, 157, 213)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 140)(12, 142)(13, 115)(14, 144)(15, 145)(16, 146)(17, 117)(18, 118)(19, 152)(20, 154)(21, 119)(22, 156)(23, 157)(24, 158)(25, 121)(26, 122)(27, 163)(28, 164)(29, 123)(30, 165)(31, 125)(32, 139)(33, 141)(34, 143)(35, 150)(36, 128)(37, 129)(38, 130)(39, 166)(40, 167)(41, 131)(42, 168)(43, 133)(44, 151)(45, 153)(46, 155)(47, 162)(48, 136)(49, 137)(50, 138)(51, 149)(52, 148)(53, 147)(54, 161)(55, 160)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1345
Graph:: simple bipartite
	v = 36 e = 112 f = 30
	degree seq :: [ 4^28, 14^8 ]

E24.1337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 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, (Y2^-1 * Y1)^2, (R * Y2)^2, Y2^-2 * Y3^-4, Y2^7, Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2, Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 44, 100)(28, 84, 41, 97)(29, 85, 43, 99)(30, 86, 39, 95)(31, 87, 42, 98)(32, 88, 37, 93)(33, 89, 40, 96)(34, 90, 38, 94)(35, 91, 36, 92)(45, 101, 54, 110)(46, 102, 56, 112)(47, 103, 55, 111)(48, 104, 51, 107)(49, 105, 53, 109)(50, 106, 52, 108)(113, 169, 115, 171, 123, 179, 139, 195, 147, 203, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 148, 204, 156, 212, 136, 192, 121, 177)(116, 172, 124, 180, 140, 196, 157, 213, 162, 218, 146, 202, 127, 183)(118, 174, 125, 181, 141, 197, 158, 214, 160, 216, 144, 200, 129, 185)(120, 176, 132, 188, 149, 205, 163, 219, 168, 224, 155, 211, 135, 191)(122, 178, 133, 189, 150, 206, 164, 220, 166, 222, 153, 209, 137, 193)(126, 182, 142, 198, 130, 186, 143, 199, 159, 215, 161, 217, 145, 201)(134, 190, 151, 207, 138, 194, 152, 208, 165, 221, 167, 223, 154, 210)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 140)(12, 142)(13, 115)(14, 144)(15, 145)(16, 146)(17, 117)(18, 118)(19, 149)(20, 151)(21, 119)(22, 153)(23, 154)(24, 155)(25, 121)(26, 122)(27, 157)(28, 130)(29, 123)(30, 129)(31, 125)(32, 128)(33, 160)(34, 161)(35, 162)(36, 163)(37, 138)(38, 131)(39, 137)(40, 133)(41, 136)(42, 166)(43, 167)(44, 168)(45, 143)(46, 139)(47, 141)(48, 147)(49, 158)(50, 159)(51, 152)(52, 148)(53, 150)(54, 156)(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) :: { ( 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1346
Graph:: simple bipartite
	v = 36 e = 112 f = 30
	degree seq :: [ 4^28, 14^8 ]

E24.1338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, Y3^-4 * Y2^2, 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^-2 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 42, 98)(28, 84, 43, 99)(29, 85, 41, 97)(30, 86, 44, 100)(31, 87, 40, 96)(32, 88, 38, 94)(33, 89, 36, 92)(34, 90, 37, 93)(35, 91, 39, 95)(45, 101, 55, 111)(46, 102, 54, 110)(47, 103, 56, 112)(48, 104, 52, 108)(49, 105, 51, 107)(50, 106, 53, 109)(113, 169, 115, 171, 123, 179, 139, 195, 145, 201, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 148, 204, 154, 210, 136, 192, 121, 177)(116, 172, 124, 180, 140, 196, 157, 213, 160, 216, 144, 200, 127, 183)(118, 174, 125, 181, 141, 197, 158, 214, 161, 217, 146, 202, 129, 185)(120, 176, 132, 188, 149, 205, 163, 219, 166, 222, 153, 209, 135, 191)(122, 178, 133, 189, 150, 206, 164, 220, 167, 223, 155, 211, 137, 193)(126, 182, 142, 198, 159, 215, 162, 218, 147, 203, 130, 186, 143, 199)(134, 190, 151, 207, 165, 221, 168, 224, 156, 212, 138, 194, 152, 208)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 140)(12, 142)(13, 115)(14, 141)(15, 143)(16, 144)(17, 117)(18, 118)(19, 149)(20, 151)(21, 119)(22, 150)(23, 152)(24, 153)(25, 121)(26, 122)(27, 157)(28, 159)(29, 123)(30, 158)(31, 125)(32, 130)(33, 160)(34, 128)(35, 129)(36, 163)(37, 165)(38, 131)(39, 164)(40, 133)(41, 138)(42, 166)(43, 136)(44, 137)(45, 162)(46, 139)(47, 161)(48, 147)(49, 145)(50, 146)(51, 168)(52, 148)(53, 167)(54, 156)(55, 154)(56, 155)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1347
Graph:: simple bipartite
	v = 36 e = 112 f = 30
	degree seq :: [ 4^28, 14^8 ]

E24.1339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2 * Y3^4, Y2^7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 41, 97)(28, 84, 42, 98)(29, 85, 40, 96)(30, 86, 39, 95)(31, 87, 38, 94)(32, 88, 37, 93)(33, 89, 35, 91)(34, 90, 36, 92)(43, 99, 54, 110)(44, 100, 53, 109)(45, 101, 52, 108)(46, 102, 51, 107)(47, 103, 50, 106)(48, 104, 49, 105)(55, 111, 56, 112)(113, 169, 115, 171, 123, 179, 139, 195, 145, 201, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 147, 203, 153, 209, 136, 192, 121, 177)(116, 172, 124, 180, 140, 196, 155, 211, 159, 215, 144, 200, 127, 183)(118, 174, 125, 181, 141, 197, 156, 212, 160, 216, 146, 202, 129, 185)(120, 176, 132, 188, 148, 204, 161, 217, 165, 221, 152, 208, 135, 191)(122, 178, 133, 189, 149, 205, 162, 218, 166, 222, 154, 210, 137, 193)(126, 182, 130, 186, 142, 198, 157, 213, 167, 223, 158, 214, 143, 199)(134, 190, 138, 194, 150, 206, 163, 219, 168, 224, 164, 220, 151, 207)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 140)(12, 130)(13, 115)(14, 129)(15, 143)(16, 144)(17, 117)(18, 118)(19, 148)(20, 138)(21, 119)(22, 137)(23, 151)(24, 152)(25, 121)(26, 122)(27, 155)(28, 142)(29, 123)(30, 125)(31, 146)(32, 158)(33, 159)(34, 128)(35, 161)(36, 150)(37, 131)(38, 133)(39, 154)(40, 164)(41, 165)(42, 136)(43, 157)(44, 139)(45, 141)(46, 160)(47, 167)(48, 145)(49, 163)(50, 147)(51, 149)(52, 166)(53, 168)(54, 153)(55, 156)(56, 162)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1344
Graph:: simple bipartite
	v = 36 e = 112 f = 30
	degree seq :: [ 4^28, 14^8 ]

E24.1340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^4 * Y2^-1, Y2^7, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 40, 96)(28, 84, 41, 97)(29, 85, 39, 95)(30, 86, 42, 98)(31, 87, 37, 93)(32, 88, 35, 91)(33, 89, 36, 92)(34, 90, 38, 94)(43, 99, 53, 109)(44, 100, 52, 108)(45, 101, 54, 110)(46, 102, 50, 106)(47, 103, 49, 105)(48, 104, 51, 107)(55, 111, 56, 112)(113, 169, 115, 171, 123, 179, 139, 195, 144, 200, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 147, 203, 152, 208, 136, 192, 121, 177)(116, 172, 124, 180, 140, 196, 155, 211, 158, 214, 143, 199, 127, 183)(118, 174, 125, 181, 141, 197, 156, 212, 159, 215, 145, 201, 129, 185)(120, 176, 132, 188, 148, 204, 161, 217, 164, 220, 151, 207, 135, 191)(122, 178, 133, 189, 149, 205, 162, 218, 165, 221, 153, 209, 137, 193)(126, 182, 142, 198, 157, 213, 167, 223, 160, 216, 146, 202, 130, 186)(134, 190, 150, 206, 163, 219, 168, 224, 166, 222, 154, 210, 138, 194)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 140)(12, 142)(13, 115)(14, 125)(15, 130)(16, 143)(17, 117)(18, 118)(19, 148)(20, 150)(21, 119)(22, 133)(23, 138)(24, 151)(25, 121)(26, 122)(27, 155)(28, 157)(29, 123)(30, 141)(31, 146)(32, 158)(33, 128)(34, 129)(35, 161)(36, 163)(37, 131)(38, 149)(39, 154)(40, 164)(41, 136)(42, 137)(43, 167)(44, 139)(45, 156)(46, 160)(47, 144)(48, 145)(49, 168)(50, 147)(51, 162)(52, 166)(53, 152)(54, 153)(55, 159)(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, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1343
Graph:: simple bipartite
	v = 36 e = 112 f = 30
	degree seq :: [ 4^28, 14^8 ]

E24.1341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3^4, Y2^7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 7, 63)(4, 60, 10, 66)(5, 61, 9, 65)(6, 62, 8, 64)(11, 67, 18, 74)(12, 68, 20, 76)(13, 69, 19, 75)(14, 70, 21, 77)(15, 71, 24, 80)(16, 72, 23, 79)(17, 73, 22, 78)(25, 81, 33, 89)(26, 82, 35, 91)(27, 83, 34, 90)(28, 84, 36, 92)(29, 85, 37, 93)(30, 86, 40, 96)(31, 87, 39, 95)(32, 88, 38, 94)(41, 97, 48, 104)(42, 98, 47, 103)(43, 99, 49, 105)(44, 100, 50, 106)(45, 101, 52, 108)(46, 102, 51, 107)(53, 109, 55, 111)(54, 110, 56, 112)(113, 169, 115, 171, 123, 179, 137, 193, 143, 199, 128, 184, 117, 173)(114, 170, 119, 175, 130, 186, 145, 201, 151, 207, 135, 191, 121, 177)(116, 172, 124, 180, 138, 194, 153, 209, 157, 213, 142, 198, 127, 183)(118, 174, 125, 181, 139, 195, 154, 210, 158, 214, 144, 200, 129, 185)(120, 176, 131, 187, 146, 202, 159, 215, 163, 219, 150, 206, 134, 190)(122, 178, 132, 188, 147, 203, 160, 216, 164, 220, 152, 208, 136, 192)(126, 182, 140, 196, 155, 211, 165, 221, 166, 222, 156, 212, 141, 197)(133, 189, 148, 204, 161, 217, 167, 223, 168, 224, 162, 218, 149, 205)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 138)(12, 140)(13, 115)(14, 118)(15, 141)(16, 142)(17, 117)(18, 146)(19, 148)(20, 119)(21, 122)(22, 149)(23, 150)(24, 121)(25, 153)(26, 155)(27, 123)(28, 125)(29, 129)(30, 156)(31, 157)(32, 128)(33, 159)(34, 161)(35, 130)(36, 132)(37, 136)(38, 162)(39, 163)(40, 135)(41, 165)(42, 137)(43, 139)(44, 144)(45, 166)(46, 143)(47, 167)(48, 145)(49, 147)(50, 152)(51, 168)(52, 151)(53, 154)(54, 158)(55, 160)(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, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1348
Graph:: simple bipartite
	v = 36 e = 112 f = 30
	degree seq :: [ 4^28, 14^8 ]

E24.1342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 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, Y3^4, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-2 * Y3^2 * Y1^2, Y3 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 18, 74, 33, 89, 30, 86, 15, 71, 4, 60, 9, 65, 20, 76, 35, 91, 48, 104, 45, 101, 29, 85, 14, 70, 24, 80, 39, 95, 51, 107, 46, 102, 32, 88, 17, 73, 6, 62, 10, 66, 21, 77, 36, 92, 31, 87, 16, 72, 5, 61)(3, 59, 11, 67, 25, 81, 41, 97, 49, 105, 37, 93, 22, 78, 12, 68, 26, 82, 42, 98, 53, 109, 56, 112, 52, 108, 40, 96, 28, 84, 44, 100, 54, 110, 55, 111, 50, 106, 38, 94, 23, 79, 13, 69, 27, 83, 43, 99, 47, 103, 34, 90, 19, 75, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 131, 187)(121, 177, 135, 191)(122, 178, 134, 190)(126, 182, 140, 196)(127, 183, 139, 195)(128, 184, 137, 193)(129, 185, 138, 194)(130, 186, 146, 202)(132, 188, 150, 206)(133, 189, 149, 205)(136, 192, 152, 208)(141, 197, 156, 212)(142, 198, 155, 211)(143, 199, 153, 209)(144, 200, 154, 210)(145, 201, 159, 215)(147, 203, 162, 218)(148, 204, 161, 217)(151, 207, 164, 220)(157, 213, 166, 222)(158, 214, 165, 221)(160, 216, 167, 223)(163, 219, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 136)(10, 114)(11, 138)(12, 140)(13, 115)(14, 118)(15, 141)(16, 142)(17, 117)(18, 147)(19, 149)(20, 151)(21, 119)(22, 152)(23, 120)(24, 122)(25, 154)(26, 156)(27, 123)(28, 125)(29, 129)(30, 157)(31, 145)(32, 128)(33, 160)(34, 161)(35, 163)(36, 130)(37, 164)(38, 131)(39, 133)(40, 135)(41, 165)(42, 166)(43, 137)(44, 139)(45, 144)(46, 143)(47, 153)(48, 158)(49, 168)(50, 146)(51, 148)(52, 150)(53, 167)(54, 155)(55, 159)(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, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E24.1335
Graph:: bipartite
	v = 30 e = 112 f = 36
	degree seq :: [ 4^28, 56^2 ]

E24.1343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 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, Y3^2 * Y1^-1 * Y3, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-7, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 17, 73, 29, 85, 41, 97, 40, 96, 28, 84, 16, 72, 6, 62, 10, 66, 20, 76, 32, 88, 44, 100, 52, 108, 50, 106, 38, 94, 26, 82, 14, 70, 4, 60, 9, 65, 19, 75, 31, 87, 43, 99, 39, 95, 27, 83, 15, 71, 5, 61)(3, 59, 11, 67, 23, 79, 35, 91, 47, 103, 54, 110, 46, 102, 34, 90, 22, 78, 13, 69, 25, 81, 37, 93, 49, 105, 55, 111, 56, 112, 53, 109, 45, 101, 33, 89, 21, 77, 12, 68, 24, 80, 36, 92, 48, 104, 51, 107, 42, 98, 30, 86, 18, 74, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 130, 186)(121, 177, 134, 190)(122, 178, 133, 189)(126, 182, 137, 193)(127, 183, 135, 191)(128, 184, 136, 192)(129, 185, 142, 198)(131, 187, 146, 202)(132, 188, 145, 201)(138, 194, 149, 205)(139, 195, 147, 203)(140, 196, 148, 204)(141, 197, 154, 210)(143, 199, 158, 214)(144, 200, 157, 213)(150, 206, 161, 217)(151, 207, 159, 215)(152, 208, 160, 216)(153, 209, 163, 219)(155, 211, 166, 222)(156, 212, 165, 221)(162, 218, 167, 223)(164, 220, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 122)(5, 126)(6, 113)(7, 131)(8, 133)(9, 132)(10, 114)(11, 136)(12, 137)(13, 115)(14, 118)(15, 138)(16, 117)(17, 143)(18, 145)(19, 144)(20, 119)(21, 125)(22, 120)(23, 148)(24, 149)(25, 123)(26, 128)(27, 150)(28, 127)(29, 155)(30, 157)(31, 156)(32, 129)(33, 134)(34, 130)(35, 160)(36, 161)(37, 135)(38, 140)(39, 162)(40, 139)(41, 151)(42, 165)(43, 164)(44, 141)(45, 146)(46, 142)(47, 163)(48, 167)(49, 147)(50, 152)(51, 168)(52, 153)(53, 158)(54, 154)(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, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E24.1340
Graph:: bipartite
	v = 30 e = 112 f = 36
	degree seq :: [ 4^28, 56^2 ]

E24.1344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 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, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-4, Y1^-1 * Y3^2 * Y1^-4 * Y3, Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^2 * Y1^23 * Y3 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 19, 75, 37, 93, 32, 88, 18, 74, 26, 82, 44, 100, 34, 90, 15, 71, 4, 60, 9, 65, 21, 77, 39, 95, 36, 92, 17, 73, 6, 62, 10, 66, 22, 78, 40, 96, 33, 89, 14, 70, 25, 81, 43, 99, 35, 91, 16, 72, 5, 61)(3, 59, 11, 67, 27, 83, 47, 103, 56, 112, 46, 102, 31, 87, 51, 107, 53, 109, 41, 97, 23, 79, 12, 68, 28, 84, 48, 104, 54, 110, 42, 98, 24, 80, 13, 69, 29, 85, 49, 105, 55, 111, 45, 101, 30, 86, 50, 106, 52, 108, 38, 94, 20, 76, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 132, 188)(121, 177, 136, 192)(122, 178, 135, 191)(126, 182, 143, 199)(127, 183, 141, 197)(128, 184, 139, 195)(129, 185, 140, 196)(130, 186, 142, 198)(131, 187, 150, 206)(133, 189, 154, 210)(134, 190, 153, 209)(137, 193, 158, 214)(138, 194, 157, 213)(144, 200, 162, 218)(145, 201, 163, 219)(146, 202, 161, 217)(147, 203, 159, 215)(148, 204, 160, 216)(149, 205, 164, 220)(151, 207, 166, 222)(152, 208, 165, 221)(155, 211, 168, 224)(156, 212, 167, 223)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 133)(8, 135)(9, 137)(10, 114)(11, 140)(12, 142)(13, 115)(14, 144)(15, 145)(16, 146)(17, 117)(18, 118)(19, 151)(20, 153)(21, 155)(22, 119)(23, 157)(24, 120)(25, 130)(26, 122)(27, 160)(28, 162)(29, 123)(30, 158)(31, 125)(32, 129)(33, 149)(34, 152)(35, 156)(36, 128)(37, 148)(38, 165)(39, 147)(40, 131)(41, 167)(42, 132)(43, 138)(44, 134)(45, 168)(46, 136)(47, 166)(48, 164)(49, 139)(50, 143)(51, 141)(52, 163)(53, 161)(54, 150)(55, 159)(56, 154)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E24.1339
Graph:: bipartite
	v = 30 e = 112 f = 36
	degree seq :: [ 4^28, 56^2 ]

E24.1345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 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 * Y1^-3, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^8, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 4, 60, 9, 65, 18, 74, 14, 70, 21, 77, 30, 86, 26, 82, 33, 89, 42, 98, 38, 94, 45, 101, 52, 108, 50, 106, 40, 96, 46, 102, 39, 95, 28, 84, 34, 90, 27, 83, 16, 72, 22, 78, 15, 71, 6, 62, 10, 66, 5, 61)(3, 59, 11, 67, 19, 75, 12, 68, 23, 79, 31, 87, 24, 80, 35, 91, 43, 99, 36, 92, 47, 103, 53, 109, 48, 104, 55, 111, 56, 112, 54, 110, 49, 105, 51, 107, 44, 100, 37, 93, 41, 97, 32, 88, 25, 81, 29, 85, 20, 76, 13, 69, 17, 73, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 129, 185)(121, 177, 132, 188)(122, 178, 131, 187)(126, 182, 137, 193)(127, 183, 135, 191)(128, 184, 136, 192)(130, 186, 141, 197)(133, 189, 144, 200)(134, 190, 143, 199)(138, 194, 149, 205)(139, 195, 147, 203)(140, 196, 148, 204)(142, 198, 153, 209)(145, 201, 156, 212)(146, 202, 155, 211)(150, 206, 161, 217)(151, 207, 159, 215)(152, 208, 160, 216)(154, 210, 163, 219)(157, 213, 166, 222)(158, 214, 165, 221)(162, 218, 167, 223)(164, 220, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 119)(6, 113)(7, 130)(8, 131)(9, 133)(10, 114)(11, 135)(12, 136)(13, 115)(14, 138)(15, 117)(16, 118)(17, 123)(18, 142)(19, 143)(20, 120)(21, 145)(22, 122)(23, 147)(24, 148)(25, 125)(26, 150)(27, 127)(28, 128)(29, 129)(30, 154)(31, 155)(32, 132)(33, 157)(34, 134)(35, 159)(36, 160)(37, 137)(38, 162)(39, 139)(40, 140)(41, 141)(42, 164)(43, 165)(44, 144)(45, 152)(46, 146)(47, 167)(48, 166)(49, 149)(50, 151)(51, 153)(52, 158)(53, 168)(54, 156)(55, 161)(56, 163)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E24.1336
Graph:: bipartite
	v = 30 e = 112 f = 36
	degree seq :: [ 4^28, 56^2 ]

E24.1346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 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, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1^-5, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, Y3 * Y1^-1 * Y3^3 * Y1^-2 * Y3, Y1^-2 * Y3^2 * Y1^3 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 19, 75, 17, 73, 6, 62, 10, 66, 22, 78, 38, 94, 35, 91, 18, 74, 26, 82, 42, 98, 32, 88, 45, 101, 36, 92, 46, 102, 33, 89, 14, 70, 25, 81, 41, 97, 34, 90, 15, 71, 4, 60, 9, 65, 21, 77, 16, 72, 5, 61)(3, 59, 11, 67, 27, 83, 40, 96, 24, 80, 13, 69, 29, 85, 47, 103, 54, 110, 44, 100, 31, 87, 49, 105, 55, 111, 50, 106, 56, 112, 51, 107, 53, 109, 43, 99, 30, 86, 48, 104, 52, 108, 39, 95, 23, 79, 12, 68, 28, 84, 37, 93, 20, 76, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 132, 188)(121, 177, 136, 192)(122, 178, 135, 191)(126, 182, 143, 199)(127, 183, 141, 197)(128, 184, 139, 195)(129, 185, 140, 196)(130, 186, 142, 198)(131, 187, 149, 205)(133, 189, 152, 208)(134, 190, 151, 207)(137, 193, 156, 212)(138, 194, 155, 211)(144, 200, 163, 219)(145, 201, 161, 217)(146, 202, 159, 215)(147, 203, 160, 216)(148, 204, 162, 218)(150, 206, 164, 220)(153, 209, 166, 222)(154, 210, 165, 221)(157, 213, 168, 224)(158, 214, 167, 223)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 133)(8, 135)(9, 137)(10, 114)(11, 140)(12, 142)(13, 115)(14, 144)(15, 145)(16, 146)(17, 117)(18, 118)(19, 128)(20, 151)(21, 153)(22, 119)(23, 155)(24, 120)(25, 157)(26, 122)(27, 149)(28, 160)(29, 123)(30, 162)(31, 125)(32, 150)(33, 154)(34, 158)(35, 129)(36, 130)(37, 164)(38, 131)(39, 165)(40, 132)(41, 148)(42, 134)(43, 167)(44, 136)(45, 147)(46, 138)(47, 139)(48, 168)(49, 141)(50, 166)(51, 143)(52, 163)(53, 161)(54, 152)(55, 159)(56, 156)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E24.1337
Graph:: bipartite
	v = 30 e = 112 f = 36
	degree seq :: [ 4^28, 56^2 ]

E24.1347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 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 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^7, Y3^2 * Y1^26 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 16, 72, 25, 81, 33, 89, 41, 97, 49, 105, 48, 104, 40, 96, 32, 88, 24, 80, 15, 71, 6, 62, 10, 66, 4, 60, 9, 65, 18, 74, 27, 83, 35, 91, 43, 99, 51, 107, 47, 103, 39, 95, 31, 87, 23, 79, 14, 70, 5, 61)(3, 59, 11, 67, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 56, 112, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 13, 69, 19, 75, 12, 68, 22, 78, 30, 86, 38, 94, 46, 102, 54, 110, 55, 111, 50, 106, 42, 98, 34, 90, 26, 82, 17, 73, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 129, 185)(121, 177, 132, 188)(122, 178, 131, 187)(126, 182, 133, 189)(127, 183, 134, 190)(128, 184, 138, 194)(130, 186, 140, 196)(135, 191, 141, 197)(136, 192, 142, 198)(137, 193, 146, 202)(139, 195, 148, 204)(143, 199, 149, 205)(144, 200, 150, 206)(145, 201, 154, 210)(147, 203, 156, 212)(151, 207, 157, 213)(152, 208, 158, 214)(153, 209, 162, 218)(155, 211, 164, 220)(159, 215, 165, 221)(160, 216, 166, 222)(161, 217, 167, 223)(163, 219, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 119)(5, 122)(6, 113)(7, 130)(8, 131)(9, 128)(10, 114)(11, 134)(12, 133)(13, 115)(14, 118)(15, 117)(16, 139)(17, 125)(18, 137)(19, 123)(20, 120)(21, 142)(22, 141)(23, 127)(24, 126)(25, 147)(26, 132)(27, 145)(28, 129)(29, 150)(30, 149)(31, 136)(32, 135)(33, 155)(34, 140)(35, 153)(36, 138)(37, 158)(38, 157)(39, 144)(40, 143)(41, 163)(42, 148)(43, 161)(44, 146)(45, 166)(46, 165)(47, 152)(48, 151)(49, 159)(50, 156)(51, 160)(52, 154)(53, 167)(54, 168)(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, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E24.1338
Graph:: bipartite
	v = 30 e = 112 f = 36
	degree seq :: [ 4^28, 56^2 ]

E24.1348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (Y3^-1, Y1), Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y3, Y1^-2 * Y2 * Y1^2 * Y2, Y1^-7 * Y3, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 20, 76, 37, 93, 33, 89, 16, 72, 4, 60, 9, 65, 22, 78, 39, 95, 52, 108, 46, 102, 30, 86, 15, 71, 28, 84, 44, 100, 56, 112, 50, 106, 36, 92, 19, 75, 6, 62, 10, 66, 23, 79, 40, 96, 35, 91, 18, 74, 5, 61)(3, 59, 11, 67, 21, 77, 41, 97, 51, 107, 45, 101, 29, 85, 12, 68, 27, 83, 42, 98, 55, 111, 49, 105, 34, 90, 17, 73, 26, 82, 8, 64, 24, 80, 38, 94, 53, 109, 48, 104, 32, 88, 14, 70, 25, 81, 43, 99, 54, 110, 47, 103, 31, 87, 13, 69)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 126, 182)(117, 173, 129, 185)(118, 174, 124, 180)(119, 175, 133, 189)(121, 177, 139, 195)(122, 178, 137, 193)(123, 179, 140, 196)(125, 181, 142, 198)(127, 183, 138, 194)(128, 184, 141, 197)(130, 186, 143, 199)(131, 187, 144, 200)(132, 188, 150, 206)(134, 190, 155, 211)(135, 191, 154, 210)(136, 192, 156, 212)(145, 201, 160, 216)(146, 202, 158, 214)(147, 203, 161, 217)(148, 204, 157, 213)(149, 205, 163, 219)(151, 207, 167, 223)(152, 208, 166, 222)(153, 209, 168, 224)(159, 215, 164, 220)(162, 218, 165, 221)
	L = (1, 116)(2, 121)(3, 124)(4, 127)(5, 128)(6, 113)(7, 134)(8, 137)(9, 140)(10, 114)(11, 139)(12, 138)(13, 141)(14, 115)(15, 118)(16, 142)(17, 144)(18, 145)(19, 117)(20, 151)(21, 154)(22, 156)(23, 119)(24, 155)(25, 123)(26, 126)(27, 120)(28, 122)(29, 129)(30, 131)(31, 157)(32, 125)(33, 158)(34, 160)(35, 149)(36, 130)(37, 164)(38, 166)(39, 168)(40, 132)(41, 167)(42, 136)(43, 133)(44, 135)(45, 146)(46, 148)(47, 163)(48, 143)(49, 165)(50, 147)(51, 161)(52, 162)(53, 159)(54, 153)(55, 150)(56, 152)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E24.1341
Graph:: bipartite
	v = 30 e = 112 f = 36
	degree seq :: [ 4^28, 56^2 ]

E24.1349 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 28})
Quotient :: edge
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-2 * T1^-1)^2, T1^2 * T2^4, T2 * T1^2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, T1^-6 * T2^2, T1^-3 * T2^2 * T1^-3, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 13, 32, 38, 53, 43, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 30, 50, 35, 40, 18, 39, 26, 8)(9, 27, 16, 33, 11, 31, 49, 56, 42, 55, 41, 37, 15, 28)(21, 44, 25, 47, 23, 46, 36, 52, 34, 51, 54, 48, 24, 45)(57, 58, 62, 74, 94, 86, 66, 78, 73, 82, 99, 91, 69, 60)(59, 65, 75, 97, 109, 105, 85, 72, 61, 71, 76, 98, 88, 67)(63, 77, 95, 110, 106, 92, 70, 81, 64, 80, 96, 90, 68, 79)(83, 100, 93, 104, 112, 108, 89, 103, 84, 101, 111, 107, 87, 102)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1361
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1350 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 28})
Quotient :: edge
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, T2^4 * T1^-2, T2^-1 * T1^-2 * T2 * T1^2, (T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^2 * T2 * T1^4 * T2, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 42, 53, 38, 34, 13, 30, 17, 5)(2, 7, 22, 40, 18, 39, 33, 51, 36, 14, 4, 12, 26, 8)(9, 27, 43, 56, 41, 55, 49, 37, 16, 31, 11, 29, 15, 28)(21, 44, 54, 52, 35, 50, 32, 48, 25, 47, 23, 46, 24, 45)(57, 58, 62, 74, 94, 92, 73, 82, 66, 78, 98, 89, 69, 60)(59, 65, 75, 97, 90, 72, 61, 71, 76, 99, 109, 105, 86, 67)(63, 77, 95, 91, 70, 81, 64, 80, 96, 110, 107, 88, 68, 79)(83, 100, 111, 106, 87, 103, 84, 101, 112, 108, 93, 104, 85, 102)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1362
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1351 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 28})
Quotient :: edge
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T2)^2, (F * T1)^2, T1^2 * T2 * T1^-2 * T2^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^-2 * T2^-1 * T1^-3 * T2^-1 * T1^-7, T2^28, (T2^-1 * T1^-1)^14 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 28, 38, 48, 55, 49, 43, 36, 25, 12, 21, 32, 18, 6, 17, 31, 39, 45, 54, 52, 42, 33, 26, 15, 5)(2, 7, 20, 30, 37, 46, 56, 50, 41, 35, 27, 13, 4, 11, 23, 9, 16, 29, 40, 47, 53, 51, 44, 34, 24, 14, 22, 8)(57, 58, 62, 72, 84, 93, 101, 109, 105, 97, 89, 80, 68, 60)(59, 65, 73, 86, 94, 103, 110, 106, 99, 90, 82, 69, 77, 64)(61, 67, 74, 63, 75, 85, 95, 102, 111, 107, 98, 91, 81, 70)(66, 76, 87, 96, 104, 112, 108, 100, 92, 83, 71, 78, 88, 79)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.1359
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.1352 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 28})
Quotient :: edge
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1^-2 * T2^-1, T2 * T1^-2 * T2^-1 * T1^2, T2^-2 * T1 * T2^2 * T1^-1, (T1^-2 * T2 * T1^-1)^2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^14, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-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, 10, 29, 13, 32, 51, 54, 48, 24, 45, 21, 44, 25, 47, 23, 46, 36, 52, 34, 38, 53, 43, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 30, 50, 35, 42, 56, 41, 37, 15, 28, 9, 27, 16, 33, 11, 31, 49, 55, 40, 18, 39, 26, 8)(57, 58, 62, 74, 94, 87, 102, 83, 100, 93, 104, 91, 69, 60)(59, 65, 75, 97, 109, 106, 92, 70, 81, 64, 80, 96, 88, 67)(61, 71, 76, 98, 90, 68, 79, 63, 77, 95, 110, 105, 85, 72)(66, 78, 73, 82, 99, 111, 108, 89, 103, 84, 101, 112, 107, 86)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.1357
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.1353 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 28})
Quotient :: edge
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2)^2, T1^-2 * T2^-1 * T1^2 * T2, T2^3 * T1^-2 * T2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1^-1 * T2^-1 * T1^-2)^2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 42, 53, 38, 35, 50, 32, 48, 25, 47, 23, 46, 24, 45, 21, 44, 55, 52, 34, 13, 30, 17, 5)(2, 7, 22, 40, 18, 39, 54, 49, 37, 16, 31, 11, 29, 15, 28, 9, 27, 43, 56, 41, 33, 51, 36, 14, 4, 12, 26, 8)(57, 58, 62, 74, 94, 93, 104, 85, 102, 83, 100, 89, 69, 60)(59, 65, 75, 97, 91, 70, 81, 64, 80, 96, 111, 105, 86, 67)(61, 71, 76, 99, 109, 107, 88, 68, 79, 63, 77, 95, 90, 72)(66, 78, 98, 110, 106, 87, 103, 84, 101, 112, 108, 92, 73, 82)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.1360
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.1354 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 28})
Quotient :: edge
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-1 * T1^-1 * T2^-1, T2^-2 * T1 * T2^2 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, (T2 * T1^-1 * T2^2)^2, T2^28 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 47, 24, 43, 21, 13, 32, 51, 53, 38, 25, 46, 23, 45, 56, 42, 20, 6, 19, 40, 34, 52, 37, 17, 5)(2, 7, 22, 44, 55, 41, 35, 14, 4, 12, 30, 50, 36, 15, 28, 9, 27, 49, 54, 39, 18, 16, 33, 11, 31, 48, 26, 8)(57, 58, 62, 74, 94, 92, 103, 111, 108, 87, 101, 83, 69, 60)(59, 65, 75, 70, 81, 64, 80, 95, 93, 106, 112, 100, 88, 67)(61, 71, 76, 97, 109, 104, 85, 105, 90, 68, 79, 63, 77, 72)(66, 78, 96, 89, 102, 84, 99, 91, 73, 82, 98, 110, 107, 86)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.1356
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.1355 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 28})
Quotient :: edge
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1^-3, T2 * T1^2 * T2^-1 * T1^-2, T2^-2 * T1^-1 * T2^2 * T1, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-3 * T1^-1)^2, (T1^-3 * T2^-2)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 50, 34, 42, 20, 6, 19, 41, 56, 47, 25, 46, 23, 38, 53, 52, 33, 13, 24, 44, 21, 43, 37, 17, 5)(2, 7, 22, 45, 36, 16, 31, 11, 18, 39, 54, 51, 32, 15, 28, 9, 27, 49, 35, 14, 4, 12, 30, 40, 55, 48, 26, 8)(57, 58, 62, 74, 94, 83, 99, 111, 106, 92, 103, 88, 69, 60)(59, 65, 75, 96, 109, 101, 93, 107, 90, 70, 81, 64, 80, 67)(61, 71, 76, 68, 79, 63, 77, 95, 85, 105, 112, 104, 89, 72)(66, 78, 97, 110, 108, 91, 73, 82, 98, 87, 102, 84, 100, 86)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^14 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E24.1358
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 56 f = 4
	degree seq :: [ 14^4, 28^2 ]

E24.1356 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 28})
Quotient :: loop
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1, T1^-1), (T2 * T1^-1)^4, T2^14, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 6, 62, 15, 71, 26, 82, 38, 94, 45, 101, 54, 110, 49, 105, 42, 98, 33, 89, 23, 79, 11, 67, 5, 61)(2, 58, 7, 63, 14, 70, 27, 83, 37, 93, 46, 102, 53, 109, 50, 106, 41, 97, 34, 90, 22, 78, 12, 68, 4, 60, 8, 64)(9, 65, 19, 75, 28, 84, 40, 96, 47, 103, 56, 112, 51, 107, 44, 100, 35, 91, 25, 81, 13, 69, 21, 77, 10, 66, 20, 76)(16, 72, 29, 85, 39, 95, 48, 104, 55, 111, 52, 108, 43, 99, 36, 92, 24, 80, 32, 88, 18, 74, 31, 87, 17, 73, 30, 86)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 66)(6, 70)(7, 72)(8, 73)(9, 71)(10, 59)(11, 60)(12, 74)(13, 61)(14, 82)(15, 84)(16, 83)(17, 63)(18, 64)(19, 85)(20, 86)(21, 87)(22, 67)(23, 69)(24, 68)(25, 88)(26, 93)(27, 95)(28, 94)(29, 96)(30, 75)(31, 76)(32, 77)(33, 78)(34, 80)(35, 79)(36, 81)(37, 101)(38, 103)(39, 102)(40, 104)(41, 89)(42, 91)(43, 90)(44, 92)(45, 109)(46, 111)(47, 110)(48, 112)(49, 97)(50, 99)(51, 98)(52, 100)(53, 105)(54, 107)(55, 106)(56, 108)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1354
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.1357 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 28})
Quotient :: loop
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-2 * T1^-1)^2, T1^2 * T2^4, T2 * T1^2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, T1^-6 * T2^2, T1^-3 * T2^2 * T1^-3, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 29, 85, 13, 69, 32, 88, 38, 94, 53, 109, 43, 99, 20, 76, 6, 62, 19, 75, 17, 73, 5, 61)(2, 58, 7, 63, 22, 78, 14, 70, 4, 60, 12, 68, 30, 86, 50, 106, 35, 91, 40, 96, 18, 74, 39, 95, 26, 82, 8, 64)(9, 65, 27, 83, 16, 72, 33, 89, 11, 67, 31, 87, 49, 105, 56, 112, 42, 98, 55, 111, 41, 97, 37, 93, 15, 71, 28, 84)(21, 77, 44, 100, 25, 81, 47, 103, 23, 79, 46, 102, 36, 92, 52, 108, 34, 90, 51, 107, 54, 110, 48, 104, 24, 80, 45, 101)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 71)(6, 74)(7, 77)(8, 80)(9, 75)(10, 78)(11, 59)(12, 79)(13, 60)(14, 81)(15, 76)(16, 61)(17, 82)(18, 94)(19, 97)(20, 98)(21, 95)(22, 73)(23, 63)(24, 96)(25, 64)(26, 99)(27, 100)(28, 101)(29, 72)(30, 66)(31, 102)(32, 67)(33, 103)(34, 68)(35, 69)(36, 70)(37, 104)(38, 86)(39, 110)(40, 90)(41, 109)(42, 88)(43, 91)(44, 93)(45, 111)(46, 83)(47, 84)(48, 112)(49, 85)(50, 92)(51, 87)(52, 89)(53, 105)(54, 106)(55, 107)(56, 108)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1352
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.1358 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 28})
Quotient :: loop
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, T2^4 * T1^-2, T2^-1 * T1^-2 * T2 * T1^2, (T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^2 * T2 * T1^4 * T2, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 20, 76, 6, 62, 19, 75, 42, 98, 53, 109, 38, 94, 34, 90, 13, 69, 30, 86, 17, 73, 5, 61)(2, 58, 7, 63, 22, 78, 40, 96, 18, 74, 39, 95, 33, 89, 51, 107, 36, 92, 14, 70, 4, 60, 12, 68, 26, 82, 8, 64)(9, 65, 27, 83, 43, 99, 56, 112, 41, 97, 55, 111, 49, 105, 37, 93, 16, 72, 31, 87, 11, 67, 29, 85, 15, 71, 28, 84)(21, 77, 44, 100, 54, 110, 52, 108, 35, 91, 50, 106, 32, 88, 48, 104, 25, 81, 47, 103, 23, 79, 46, 102, 24, 80, 45, 101)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 71)(6, 74)(7, 77)(8, 80)(9, 75)(10, 78)(11, 59)(12, 79)(13, 60)(14, 81)(15, 76)(16, 61)(17, 82)(18, 94)(19, 97)(20, 99)(21, 95)(22, 98)(23, 63)(24, 96)(25, 64)(26, 66)(27, 100)(28, 101)(29, 102)(30, 67)(31, 103)(32, 68)(33, 69)(34, 72)(35, 70)(36, 73)(37, 104)(38, 92)(39, 91)(40, 110)(41, 90)(42, 89)(43, 109)(44, 111)(45, 112)(46, 83)(47, 84)(48, 85)(49, 86)(50, 87)(51, 88)(52, 93)(53, 105)(54, 107)(55, 106)(56, 108)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1355
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.1359 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 28})
Quotient :: loop
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^2 * T1^3, T2^-2 * T1 * T2^2 * T1^-1, T1^-2 * T2 * T1^2 * T2^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-6 * 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^-2 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 29, 85, 40, 96, 20, 76, 6, 62, 19, 75, 13, 69, 32, 88, 51, 107, 37, 93, 17, 73, 5, 61)(2, 58, 7, 63, 22, 78, 43, 99, 54, 110, 38, 94, 18, 74, 14, 70, 4, 60, 12, 68, 30, 86, 48, 104, 26, 82, 8, 64)(9, 65, 27, 83, 49, 105, 55, 111, 39, 95, 36, 92, 16, 72, 33, 89, 11, 67, 31, 87, 50, 106, 35, 91, 15, 71, 28, 84)(21, 77, 41, 97, 34, 90, 52, 108, 53, 109, 47, 103, 25, 81, 45, 101, 23, 79, 44, 100, 56, 112, 46, 102, 24, 80, 42, 98)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 71)(6, 74)(7, 77)(8, 80)(9, 75)(10, 78)(11, 59)(12, 79)(13, 60)(14, 81)(15, 76)(16, 61)(17, 82)(18, 73)(19, 72)(20, 95)(21, 70)(22, 69)(23, 63)(24, 94)(25, 64)(26, 96)(27, 97)(28, 98)(29, 105)(30, 66)(31, 100)(32, 67)(33, 101)(34, 68)(35, 102)(36, 103)(37, 106)(38, 109)(39, 93)(40, 110)(41, 89)(42, 92)(43, 90)(44, 83)(45, 84)(46, 111)(47, 91)(48, 112)(49, 88)(50, 85)(51, 86)(52, 87)(53, 104)(54, 107)(55, 108)(56, 99)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1351
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.1360 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 28})
Quotient :: loop
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T1^-4 * T2^2, (T1 * T2^-1 * T1)^2, T1^-1 * T2^-2 * T1 * T2^2, (T2^-1, T1^-1)^2, T2^2 * T1 * T2^4 * T1, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 29, 85, 50, 106, 32, 88, 13, 69, 20, 76, 6, 62, 19, 75, 40, 96, 37, 93, 17, 73, 5, 61)(2, 58, 7, 63, 22, 78, 43, 99, 34, 90, 14, 70, 4, 60, 12, 68, 18, 74, 38, 94, 54, 110, 48, 104, 26, 82, 8, 64)(9, 65, 27, 83, 49, 105, 36, 92, 16, 72, 31, 87, 11, 67, 30, 86, 39, 95, 55, 111, 51, 107, 35, 91, 15, 71, 28, 84)(21, 77, 41, 97, 56, 112, 47, 103, 25, 81, 45, 101, 23, 79, 44, 100, 53, 109, 52, 108, 33, 89, 46, 102, 24, 80, 42, 98)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 71)(6, 74)(7, 77)(8, 80)(9, 75)(10, 78)(11, 59)(12, 79)(13, 60)(14, 81)(15, 76)(16, 61)(17, 82)(18, 66)(19, 95)(20, 67)(21, 94)(22, 96)(23, 63)(24, 68)(25, 64)(26, 69)(27, 97)(28, 98)(29, 105)(30, 100)(31, 101)(32, 72)(33, 70)(34, 73)(35, 102)(36, 103)(37, 107)(38, 109)(39, 85)(40, 110)(41, 111)(42, 86)(43, 112)(44, 83)(45, 84)(46, 87)(47, 91)(48, 89)(49, 93)(50, 90)(51, 88)(52, 92)(53, 99)(54, 106)(55, 108)(56, 104)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1353
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 6
	degree seq :: [ 28^4 ]

E24.1361 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 28})
Quotient :: loop
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T2)^2, (F * T1)^2, T1^2 * T2 * T1^-2 * T2^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^-2 * T2^-1 * T1^-3 * T2^-1 * T1^-7, T2^28, (T2^-1 * T1^-1)^14 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 19, 75, 28, 84, 38, 94, 48, 104, 55, 111, 49, 105, 43, 99, 36, 92, 25, 81, 12, 68, 21, 77, 32, 88, 18, 74, 6, 62, 17, 73, 31, 87, 39, 95, 45, 101, 54, 110, 52, 108, 42, 98, 33, 89, 26, 82, 15, 71, 5, 61)(2, 58, 7, 63, 20, 76, 30, 86, 37, 93, 46, 102, 56, 112, 50, 106, 41, 97, 35, 91, 27, 83, 13, 69, 4, 60, 11, 67, 23, 79, 9, 65, 16, 72, 29, 85, 40, 96, 47, 103, 53, 109, 51, 107, 44, 100, 34, 90, 24, 80, 14, 70, 22, 78, 8, 64)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 67)(6, 72)(7, 75)(8, 59)(9, 73)(10, 76)(11, 74)(12, 60)(13, 77)(14, 61)(15, 78)(16, 84)(17, 86)(18, 63)(19, 85)(20, 87)(21, 64)(22, 88)(23, 66)(24, 68)(25, 70)(26, 69)(27, 71)(28, 93)(29, 95)(30, 94)(31, 96)(32, 79)(33, 80)(34, 82)(35, 81)(36, 83)(37, 101)(38, 103)(39, 102)(40, 104)(41, 89)(42, 91)(43, 90)(44, 92)(45, 109)(46, 111)(47, 110)(48, 112)(49, 97)(50, 99)(51, 98)(52, 100)(53, 105)(54, 106)(55, 107)(56, 108)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1349
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1362 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 28})
Quotient :: loop
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2)^2, T1^-2 * T2^-1 * T1^2 * T2, T2^3 * T1^-2 * T2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1^-1 * T2^-1 * T1^-2)^2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 20, 76, 6, 62, 19, 75, 42, 98, 53, 109, 38, 94, 35, 91, 50, 106, 32, 88, 48, 104, 25, 81, 47, 103, 23, 79, 46, 102, 24, 80, 45, 101, 21, 77, 44, 100, 55, 111, 52, 108, 34, 90, 13, 69, 30, 86, 17, 73, 5, 61)(2, 58, 7, 63, 22, 78, 40, 96, 18, 74, 39, 95, 54, 110, 49, 105, 37, 93, 16, 72, 31, 87, 11, 67, 29, 85, 15, 71, 28, 84, 9, 65, 27, 83, 43, 99, 56, 112, 41, 97, 33, 89, 51, 107, 36, 92, 14, 70, 4, 60, 12, 68, 26, 82, 8, 64)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 71)(6, 74)(7, 77)(8, 80)(9, 75)(10, 78)(11, 59)(12, 79)(13, 60)(14, 81)(15, 76)(16, 61)(17, 82)(18, 94)(19, 97)(20, 99)(21, 95)(22, 98)(23, 63)(24, 96)(25, 64)(26, 66)(27, 100)(28, 101)(29, 102)(30, 67)(31, 103)(32, 68)(33, 69)(34, 72)(35, 70)(36, 73)(37, 104)(38, 93)(39, 90)(40, 111)(41, 91)(42, 110)(43, 109)(44, 89)(45, 112)(46, 83)(47, 84)(48, 85)(49, 86)(50, 87)(51, 88)(52, 92)(53, 107)(54, 106)(55, 105)(56, 108)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1350
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-2 * Y2 * Y1^-2, Y3^4 * Y2^2, Y3 * Y1^-1 * Y3 * Y2^2 * Y1^-1, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-6 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-3 * Y1^11, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 10, 66, 22, 78, 40, 96, 54, 110, 50, 106, 34, 90, 17, 73, 26, 82, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 39, 95, 29, 85, 49, 105, 37, 93, 51, 107, 32, 88, 16, 72, 5, 61, 15, 71, 20, 76, 11, 67)(7, 63, 21, 77, 38, 94, 53, 109, 43, 99, 56, 112, 48, 104, 33, 89, 14, 70, 25, 81, 8, 64, 24, 80, 12, 68, 23, 79)(27, 83, 41, 97, 55, 111, 52, 108, 36, 92, 47, 103, 35, 91, 46, 102, 31, 87, 45, 101, 28, 84, 42, 98, 30, 86, 44, 100)(113, 169, 115, 171, 122, 178, 141, 197, 162, 218, 144, 200, 125, 181, 132, 188, 118, 174, 131, 187, 152, 208, 149, 205, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 155, 211, 146, 202, 126, 182, 116, 172, 124, 180, 130, 186, 150, 206, 166, 222, 160, 216, 138, 194, 120, 176)(121, 177, 139, 195, 161, 217, 148, 204, 128, 184, 143, 199, 123, 179, 142, 198, 151, 207, 167, 223, 163, 219, 147, 203, 127, 183, 140, 196)(133, 189, 153, 209, 168, 224, 159, 215, 137, 193, 157, 213, 135, 191, 156, 212, 165, 221, 164, 220, 145, 201, 158, 214, 136, 192, 154, 210)
	L = (1, 116)(2, 113)(3, 123)(4, 125)(5, 128)(6, 114)(7, 135)(8, 137)(9, 115)(10, 130)(11, 132)(12, 136)(13, 138)(14, 145)(15, 117)(16, 144)(17, 146)(18, 118)(19, 121)(20, 127)(21, 119)(22, 122)(23, 124)(24, 120)(25, 126)(26, 129)(27, 156)(28, 157)(29, 151)(30, 154)(31, 158)(32, 163)(33, 160)(34, 162)(35, 159)(36, 164)(37, 161)(38, 133)(39, 131)(40, 134)(41, 139)(42, 140)(43, 165)(44, 142)(45, 143)(46, 147)(47, 148)(48, 168)(49, 141)(50, 166)(51, 149)(52, 167)(53, 150)(54, 152)(55, 153)(56, 155)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1376
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 28^8 ]

E24.1364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-2)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^-1 * Y3^2 * Y2 * Y1^2, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1^-3 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-5, Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-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 * Y1 * Y2^-1 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 17, 73, 26, 82, 40, 96, 54, 110, 51, 107, 30, 86, 10, 66, 22, 78, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 16, 72, 5, 61, 15, 71, 20, 76, 39, 95, 37, 93, 50, 106, 29, 85, 49, 105, 32, 88, 11, 67)(7, 63, 21, 77, 14, 70, 25, 81, 8, 64, 24, 80, 38, 94, 53, 109, 48, 104, 56, 112, 43, 99, 34, 90, 12, 68, 23, 79)(27, 83, 41, 97, 33, 89, 45, 101, 28, 84, 42, 98, 36, 92, 47, 103, 35, 91, 46, 102, 55, 111, 52, 108, 31, 87, 44, 100)(113, 169, 115, 171, 122, 178, 141, 197, 152, 208, 132, 188, 118, 174, 131, 187, 125, 181, 144, 200, 163, 219, 149, 205, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 155, 211, 166, 222, 150, 206, 130, 186, 126, 182, 116, 172, 124, 180, 142, 198, 160, 216, 138, 194, 120, 176)(121, 177, 139, 195, 161, 217, 167, 223, 151, 207, 148, 204, 128, 184, 145, 201, 123, 179, 143, 199, 162, 218, 147, 203, 127, 183, 140, 196)(133, 189, 153, 209, 146, 202, 164, 220, 165, 221, 159, 215, 137, 193, 157, 213, 135, 191, 156, 212, 168, 224, 158, 214, 136, 192, 154, 210)
	L = (1, 116)(2, 113)(3, 123)(4, 125)(5, 128)(6, 114)(7, 135)(8, 137)(9, 115)(10, 142)(11, 144)(12, 146)(13, 134)(14, 133)(15, 117)(16, 131)(17, 130)(18, 118)(19, 121)(20, 127)(21, 119)(22, 122)(23, 124)(24, 120)(25, 126)(26, 129)(27, 156)(28, 157)(29, 162)(30, 163)(31, 164)(32, 161)(33, 153)(34, 155)(35, 159)(36, 154)(37, 151)(38, 136)(39, 132)(40, 138)(41, 139)(42, 140)(43, 168)(44, 143)(45, 145)(46, 147)(47, 148)(48, 165)(49, 141)(50, 149)(51, 166)(52, 167)(53, 150)(54, 152)(55, 158)(56, 160)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1375
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 28^8 ]

E24.1365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y2 * Y1^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^14, Y1 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1 * Y2, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 16, 72, 28, 84, 37, 93, 45, 101, 53, 109, 49, 105, 41, 97, 33, 89, 24, 80, 12, 68, 4, 60)(3, 59, 9, 65, 17, 73, 30, 86, 38, 94, 47, 103, 54, 110, 50, 106, 43, 99, 34, 90, 26, 82, 13, 69, 21, 77, 8, 64)(5, 61, 11, 67, 18, 74, 7, 63, 19, 75, 29, 85, 39, 95, 46, 102, 55, 111, 51, 107, 42, 98, 35, 91, 25, 81, 14, 70)(10, 66, 20, 76, 31, 87, 40, 96, 48, 104, 56, 112, 52, 108, 44, 100, 36, 92, 27, 83, 15, 71, 22, 78, 32, 88, 23, 79)(113, 169, 115, 171, 122, 178, 131, 187, 140, 196, 150, 206, 160, 216, 167, 223, 161, 217, 155, 211, 148, 204, 137, 193, 124, 180, 133, 189, 144, 200, 130, 186, 118, 174, 129, 185, 143, 199, 151, 207, 157, 213, 166, 222, 164, 220, 154, 210, 145, 201, 138, 194, 127, 183, 117, 173)(114, 170, 119, 175, 132, 188, 142, 198, 149, 205, 158, 214, 168, 224, 162, 218, 153, 209, 147, 203, 139, 195, 125, 181, 116, 172, 123, 179, 135, 191, 121, 177, 128, 184, 141, 197, 152, 208, 159, 215, 165, 221, 163, 219, 156, 212, 146, 202, 136, 192, 126, 182, 134, 190, 120, 176)
	L = (1, 115)(2, 119)(3, 122)(4, 123)(5, 113)(6, 129)(7, 132)(8, 114)(9, 128)(10, 131)(11, 135)(12, 133)(13, 116)(14, 134)(15, 117)(16, 141)(17, 143)(18, 118)(19, 140)(20, 142)(21, 144)(22, 120)(23, 121)(24, 126)(25, 124)(26, 127)(27, 125)(28, 150)(29, 152)(30, 149)(31, 151)(32, 130)(33, 138)(34, 136)(35, 139)(36, 137)(37, 158)(38, 160)(39, 157)(40, 159)(41, 147)(42, 145)(43, 148)(44, 146)(45, 166)(46, 168)(47, 165)(48, 167)(49, 155)(50, 153)(51, 156)(52, 154)(53, 163)(54, 164)(55, 161)(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, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1372
Graph:: bipartite
	v = 6 e = 112 f = 60
	degree seq :: [ 28^4, 56^2 ]

E24.1366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-3 * Y2^-1, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, Y2^-2 * Y1 * Y2^2 * Y1^-1, (Y2 * Y1^-1 * Y2^2)^2, Y1^9 * Y2^-1 * Y1 * Y2^-1, Y2^28, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 38, 94, 36, 92, 47, 103, 55, 111, 52, 108, 31, 87, 45, 101, 27, 83, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 14, 70, 25, 81, 8, 64, 24, 80, 39, 95, 37, 93, 50, 106, 56, 112, 44, 100, 32, 88, 11, 67)(5, 61, 15, 71, 20, 76, 41, 97, 53, 109, 48, 104, 29, 85, 49, 105, 34, 90, 12, 68, 23, 79, 7, 63, 21, 77, 16, 72)(10, 66, 22, 78, 40, 96, 33, 89, 46, 102, 28, 84, 43, 99, 35, 91, 17, 73, 26, 82, 42, 98, 54, 110, 51, 107, 30, 86)(113, 169, 115, 171, 122, 178, 141, 197, 159, 215, 136, 192, 155, 211, 133, 189, 125, 181, 144, 200, 163, 219, 165, 221, 150, 206, 137, 193, 158, 214, 135, 191, 157, 213, 168, 224, 154, 210, 132, 188, 118, 174, 131, 187, 152, 208, 146, 202, 164, 220, 149, 205, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 156, 212, 167, 223, 153, 209, 147, 203, 126, 182, 116, 172, 124, 180, 142, 198, 162, 218, 148, 204, 127, 183, 140, 196, 121, 177, 139, 195, 161, 217, 166, 222, 151, 207, 130, 186, 128, 184, 145, 201, 123, 179, 143, 199, 160, 216, 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, 143)(12, 142)(13, 144)(14, 116)(15, 140)(16, 145)(17, 117)(18, 128)(19, 152)(20, 118)(21, 125)(22, 156)(23, 157)(24, 155)(25, 158)(26, 120)(27, 161)(28, 121)(29, 159)(30, 162)(31, 160)(32, 163)(33, 123)(34, 164)(35, 126)(36, 127)(37, 129)(38, 137)(39, 130)(40, 146)(41, 147)(42, 132)(43, 133)(44, 167)(45, 168)(46, 135)(47, 136)(48, 138)(49, 166)(50, 148)(51, 165)(52, 149)(53, 150)(54, 151)(55, 153)(56, 154)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1374
Graph:: bipartite
	v = 6 e = 112 f = 60
	degree seq :: [ 28^4, 56^2 ]

E24.1367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-3 * Y2, Y2^-2 * Y1^-1 * Y2^2 * Y1, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * Y2^-2)^2, (Y1^-3 * Y2^-2)^2, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 38, 94, 27, 83, 43, 99, 55, 111, 50, 106, 36, 92, 47, 103, 32, 88, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 40, 96, 53, 109, 45, 101, 37, 93, 51, 107, 34, 90, 14, 70, 25, 81, 8, 64, 24, 80, 11, 67)(5, 61, 15, 71, 20, 76, 12, 68, 23, 79, 7, 63, 21, 77, 39, 95, 29, 85, 49, 105, 56, 112, 48, 104, 33, 89, 16, 72)(10, 66, 22, 78, 41, 97, 54, 110, 52, 108, 35, 91, 17, 73, 26, 82, 42, 98, 31, 87, 46, 102, 28, 84, 44, 100, 30, 86)(113, 169, 115, 171, 122, 178, 141, 197, 162, 218, 146, 202, 154, 210, 132, 188, 118, 174, 131, 187, 153, 209, 168, 224, 159, 215, 137, 193, 158, 214, 135, 191, 150, 206, 165, 221, 164, 220, 145, 201, 125, 181, 136, 192, 156, 212, 133, 189, 155, 211, 149, 205, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 157, 213, 148, 204, 128, 184, 143, 199, 123, 179, 130, 186, 151, 207, 166, 222, 163, 219, 144, 200, 127, 183, 140, 196, 121, 177, 139, 195, 161, 217, 147, 203, 126, 182, 116, 172, 124, 180, 142, 198, 152, 208, 167, 223, 160, 216, 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, 142)(13, 136)(14, 116)(15, 140)(16, 143)(17, 117)(18, 151)(19, 153)(20, 118)(21, 155)(22, 157)(23, 150)(24, 156)(25, 158)(26, 120)(27, 161)(28, 121)(29, 162)(30, 152)(31, 123)(32, 127)(33, 125)(34, 154)(35, 126)(36, 128)(37, 129)(38, 165)(39, 166)(40, 167)(41, 168)(42, 132)(43, 149)(44, 133)(45, 148)(46, 135)(47, 137)(48, 138)(49, 147)(50, 146)(51, 144)(52, 145)(53, 164)(54, 163)(55, 160)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1371
Graph:: bipartite
	v = 6 e = 112 f = 60
	degree seq :: [ 28^4, 56^2 ]

E24.1368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-3 * Y1^-2 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^2, (Y1^-2 * Y2 * Y1^-1)^2, (Y2, Y1^-1)^2, Y1^14, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 38, 94, 31, 87, 46, 102, 27, 83, 44, 100, 37, 93, 48, 104, 35, 91, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 41, 97, 53, 109, 50, 106, 36, 92, 14, 70, 25, 81, 8, 64, 24, 80, 40, 96, 32, 88, 11, 67)(5, 61, 15, 71, 20, 76, 42, 98, 34, 90, 12, 68, 23, 79, 7, 63, 21, 77, 39, 95, 54, 110, 49, 105, 29, 85, 16, 72)(10, 66, 22, 78, 17, 73, 26, 82, 43, 99, 55, 111, 52, 108, 33, 89, 47, 103, 28, 84, 45, 101, 56, 112, 51, 107, 30, 86)(113, 169, 115, 171, 122, 178, 141, 197, 125, 181, 144, 200, 163, 219, 166, 222, 160, 216, 136, 192, 157, 213, 133, 189, 156, 212, 137, 193, 159, 215, 135, 191, 158, 214, 148, 204, 164, 220, 146, 202, 150, 206, 165, 221, 155, 211, 132, 188, 118, 174, 131, 187, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 126, 182, 116, 172, 124, 180, 142, 198, 162, 218, 147, 203, 154, 210, 168, 224, 153, 209, 149, 205, 127, 183, 140, 196, 121, 177, 139, 195, 128, 184, 145, 201, 123, 179, 143, 199, 161, 217, 167, 223, 152, 208, 130, 186, 151, 207, 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, 143)(12, 142)(13, 144)(14, 116)(15, 140)(16, 145)(17, 117)(18, 151)(19, 129)(20, 118)(21, 156)(22, 126)(23, 158)(24, 157)(25, 159)(26, 120)(27, 128)(28, 121)(29, 125)(30, 162)(31, 161)(32, 163)(33, 123)(34, 150)(35, 154)(36, 164)(37, 127)(38, 165)(39, 138)(40, 130)(41, 149)(42, 168)(43, 132)(44, 137)(45, 133)(46, 148)(47, 135)(48, 136)(49, 167)(50, 147)(51, 166)(52, 146)(53, 155)(54, 160)(55, 152)(56, 153)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1370
Graph:: bipartite
	v = 6 e = 112 f = 60
	degree seq :: [ 28^4, 56^2 ]

E24.1369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1^-2 * Y2, Y2^-1 * Y1^-2 * Y2 * Y1^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2, Y1^-1)^2, (Y1^-2 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 38, 94, 37, 93, 48, 104, 29, 85, 46, 102, 27, 83, 44, 100, 33, 89, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 41, 97, 35, 91, 14, 70, 25, 81, 8, 64, 24, 80, 40, 96, 55, 111, 49, 105, 30, 86, 11, 67)(5, 61, 15, 71, 20, 76, 43, 99, 53, 109, 51, 107, 32, 88, 12, 68, 23, 79, 7, 63, 21, 77, 39, 95, 34, 90, 16, 72)(10, 66, 22, 78, 42, 98, 54, 110, 50, 106, 31, 87, 47, 103, 28, 84, 45, 101, 56, 112, 52, 108, 36, 92, 17, 73, 26, 82)(113, 169, 115, 171, 122, 178, 132, 188, 118, 174, 131, 187, 154, 210, 165, 221, 150, 206, 147, 203, 162, 218, 144, 200, 160, 216, 137, 193, 159, 215, 135, 191, 158, 214, 136, 192, 157, 213, 133, 189, 156, 212, 167, 223, 164, 220, 146, 202, 125, 181, 142, 198, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 152, 208, 130, 186, 151, 207, 166, 222, 161, 217, 149, 205, 128, 184, 143, 199, 123, 179, 141, 197, 127, 183, 140, 196, 121, 177, 139, 195, 155, 211, 168, 224, 153, 209, 145, 201, 163, 219, 148, 204, 126, 182, 116, 172, 124, 180, 138, 194, 120, 176)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 132)(11, 141)(12, 138)(13, 142)(14, 116)(15, 140)(16, 143)(17, 117)(18, 151)(19, 154)(20, 118)(21, 156)(22, 152)(23, 158)(24, 157)(25, 159)(26, 120)(27, 155)(28, 121)(29, 127)(30, 129)(31, 123)(32, 160)(33, 163)(34, 125)(35, 162)(36, 126)(37, 128)(38, 147)(39, 166)(40, 130)(41, 145)(42, 165)(43, 168)(44, 167)(45, 133)(46, 136)(47, 135)(48, 137)(49, 149)(50, 144)(51, 148)(52, 146)(53, 150)(54, 161)(55, 164)(56, 153)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1373
Graph:: bipartite
	v = 6 e = 112 f = 60
	degree seq :: [ 28^4, 56^2 ]

E24.1370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, Y2^-1 * Y3 * Y2^-1 * Y3^-3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3, Y3^-1 * Y2 * Y3^-1 * Y2^11, (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, 128, 184, 140, 196, 149, 205, 157, 213, 165, 221, 164, 220, 154, 210, 145, 201, 138, 194, 125, 181, 116, 172)(115, 171, 121, 177, 129, 185, 120, 176, 133, 189, 141, 197, 151, 207, 158, 214, 167, 223, 162, 218, 153, 209, 147, 203, 139, 195, 123, 179)(117, 173, 126, 182, 130, 186, 143, 199, 150, 206, 159, 215, 166, 222, 163, 219, 156, 212, 146, 202, 136, 192, 124, 180, 132, 188, 119, 175)(122, 178, 131, 187, 142, 198, 135, 191, 127, 183, 134, 190, 144, 200, 152, 208, 160, 216, 168, 224, 161, 217, 155, 211, 148, 204, 137, 193)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 129)(7, 131)(8, 114)(9, 116)(10, 136)(11, 138)(12, 137)(13, 139)(14, 135)(15, 117)(16, 126)(17, 142)(18, 118)(19, 123)(20, 125)(21, 127)(22, 120)(23, 121)(24, 145)(25, 147)(26, 146)(27, 148)(28, 133)(29, 128)(30, 132)(31, 134)(32, 130)(33, 153)(34, 155)(35, 154)(36, 156)(37, 143)(38, 140)(39, 144)(40, 141)(41, 161)(42, 163)(43, 162)(44, 164)(45, 151)(46, 149)(47, 152)(48, 150)(49, 166)(50, 165)(51, 168)(52, 167)(53, 159)(54, 157)(55, 160)(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) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1368
Graph:: simple bipartite
	v = 60 e = 112 f = 6
	degree seq :: [ 2^56, 28^4 ]

E24.1371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2^-1)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y3 * Y2^-2 * Y3^-1 * Y2^2, (Y2^-2 * Y3 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^14, (Y3 * Y2^-1)^14, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(113, 169, 114, 170, 118, 174, 130, 186, 150, 206, 143, 199, 158, 214, 139, 195, 156, 212, 149, 205, 160, 216, 147, 203, 125, 181, 116, 172)(115, 171, 121, 177, 131, 187, 153, 209, 165, 221, 162, 218, 148, 204, 126, 182, 137, 193, 120, 176, 136, 192, 152, 208, 144, 200, 123, 179)(117, 173, 127, 183, 132, 188, 154, 210, 146, 202, 124, 180, 135, 191, 119, 175, 133, 189, 151, 207, 166, 222, 161, 217, 141, 197, 128, 184)(122, 178, 134, 190, 129, 185, 138, 194, 155, 211, 167, 223, 164, 220, 145, 201, 159, 215, 140, 196, 157, 213, 168, 224, 163, 219, 142, 198)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 143)(12, 142)(13, 144)(14, 116)(15, 140)(16, 145)(17, 117)(18, 151)(19, 129)(20, 118)(21, 156)(22, 126)(23, 158)(24, 157)(25, 159)(26, 120)(27, 128)(28, 121)(29, 125)(30, 162)(31, 161)(32, 163)(33, 123)(34, 150)(35, 154)(36, 164)(37, 127)(38, 165)(39, 138)(40, 130)(41, 149)(42, 168)(43, 132)(44, 137)(45, 133)(46, 148)(47, 135)(48, 136)(49, 167)(50, 147)(51, 166)(52, 146)(53, 155)(54, 160)(55, 152)(56, 153)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1367
Graph:: simple bipartite
	v = 60 e = 112 f = 6
	degree seq :: [ 2^56, 28^4 ]

E24.1372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^3 * Y2^-2 * Y3, (Y3^2 * Y2^-1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^2, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2^-2 * Y3^-1 * Y2^-1)^2, (Y2^-1 * Y3^-1 * Y2 * Y3^-1)^7, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(113, 169, 114, 170, 118, 174, 130, 186, 150, 206, 149, 205, 160, 216, 141, 197, 158, 214, 139, 195, 156, 212, 145, 201, 125, 181, 116, 172)(115, 171, 121, 177, 131, 187, 153, 209, 147, 203, 126, 182, 137, 193, 120, 176, 136, 192, 152, 208, 167, 223, 161, 217, 142, 198, 123, 179)(117, 173, 127, 183, 132, 188, 155, 211, 165, 221, 163, 219, 144, 200, 124, 180, 135, 191, 119, 175, 133, 189, 151, 207, 146, 202, 128, 184)(122, 178, 134, 190, 154, 210, 166, 222, 162, 218, 143, 199, 159, 215, 140, 196, 157, 213, 168, 224, 164, 220, 148, 204, 129, 185, 138, 194)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 132)(11, 141)(12, 138)(13, 142)(14, 116)(15, 140)(16, 143)(17, 117)(18, 151)(19, 154)(20, 118)(21, 156)(22, 152)(23, 158)(24, 157)(25, 159)(26, 120)(27, 155)(28, 121)(29, 127)(30, 129)(31, 123)(32, 160)(33, 163)(34, 125)(35, 162)(36, 126)(37, 128)(38, 147)(39, 166)(40, 130)(41, 145)(42, 165)(43, 168)(44, 167)(45, 133)(46, 136)(47, 135)(48, 137)(49, 149)(50, 144)(51, 148)(52, 146)(53, 150)(54, 161)(55, 164)(56, 153)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1365
Graph:: simple bipartite
	v = 60 e = 112 f = 6
	degree seq :: [ 2^56, 28^4 ]

E24.1373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-3 * Y3^-1 * Y2^-1, Y3^-2 * Y2 * Y3^2 * Y2^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, (Y3 * Y2^-1 * Y3^2)^2, Y2^9 * Y3^-1 * Y2 * Y3^-1, (Y3 * Y2^-1)^14, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(113, 169, 114, 170, 118, 174, 130, 186, 150, 206, 148, 204, 159, 215, 167, 223, 164, 220, 143, 199, 157, 213, 139, 195, 125, 181, 116, 172)(115, 171, 121, 177, 131, 187, 126, 182, 137, 193, 120, 176, 136, 192, 151, 207, 149, 205, 162, 218, 168, 224, 156, 212, 144, 200, 123, 179)(117, 173, 127, 183, 132, 188, 153, 209, 165, 221, 160, 216, 141, 197, 161, 217, 146, 202, 124, 180, 135, 191, 119, 175, 133, 189, 128, 184)(122, 178, 134, 190, 152, 208, 145, 201, 158, 214, 140, 196, 155, 211, 147, 203, 129, 185, 138, 194, 154, 210, 166, 222, 163, 219, 142, 198)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 143)(12, 142)(13, 144)(14, 116)(15, 140)(16, 145)(17, 117)(18, 128)(19, 152)(20, 118)(21, 125)(22, 156)(23, 157)(24, 155)(25, 158)(26, 120)(27, 161)(28, 121)(29, 159)(30, 162)(31, 160)(32, 163)(33, 123)(34, 164)(35, 126)(36, 127)(37, 129)(38, 137)(39, 130)(40, 146)(41, 147)(42, 132)(43, 133)(44, 167)(45, 168)(46, 135)(47, 136)(48, 138)(49, 166)(50, 148)(51, 165)(52, 149)(53, 150)(54, 151)(55, 153)(56, 154)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1369
Graph:: simple bipartite
	v = 60 e = 112 f = 6
	degree seq :: [ 2^56, 28^4 ]

E24.1374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-3, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y3^-2 * Y2^-1 * Y3^2 * Y2, (Y3^-3 * Y2^-1)^2, (Y3, Y2^-1)^2, Y2^2 * Y3 * Y2^7 * Y3 * Y2, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(113, 169, 114, 170, 118, 174, 130, 186, 150, 206, 139, 195, 155, 211, 167, 223, 162, 218, 148, 204, 159, 215, 144, 200, 125, 181, 116, 172)(115, 171, 121, 177, 131, 187, 152, 208, 165, 221, 157, 213, 149, 205, 163, 219, 146, 202, 126, 182, 137, 193, 120, 176, 136, 192, 123, 179)(117, 173, 127, 183, 132, 188, 124, 180, 135, 191, 119, 175, 133, 189, 151, 207, 141, 197, 161, 217, 168, 224, 160, 216, 145, 201, 128, 184)(122, 178, 134, 190, 153, 209, 166, 222, 164, 220, 147, 203, 129, 185, 138, 194, 154, 210, 143, 199, 158, 214, 140, 196, 156, 212, 142, 198)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 130)(12, 142)(13, 136)(14, 116)(15, 140)(16, 143)(17, 117)(18, 151)(19, 153)(20, 118)(21, 155)(22, 157)(23, 150)(24, 156)(25, 158)(26, 120)(27, 161)(28, 121)(29, 162)(30, 152)(31, 123)(32, 127)(33, 125)(34, 154)(35, 126)(36, 128)(37, 129)(38, 165)(39, 166)(40, 167)(41, 168)(42, 132)(43, 149)(44, 133)(45, 148)(46, 135)(47, 137)(48, 138)(49, 147)(50, 146)(51, 144)(52, 145)(53, 164)(54, 163)(55, 160)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1366
Graph:: simple bipartite
	v = 60 e = 112 f = 6
	degree seq :: [ 2^56, 28^4 ]

E24.1375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y1^-3 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-7, Y3^28, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 16, 72, 28, 84, 37, 93, 45, 101, 53, 109, 52, 108, 44, 100, 36, 92, 27, 83, 15, 71, 22, 78, 32, 88, 23, 79, 10, 66, 20, 76, 31, 87, 40, 96, 48, 104, 56, 112, 49, 105, 41, 97, 33, 89, 24, 80, 12, 68, 4, 60)(3, 59, 9, 65, 17, 73, 30, 86, 38, 94, 47, 103, 54, 110, 51, 107, 42, 98, 35, 91, 25, 81, 14, 70, 5, 61, 11, 67, 18, 74, 7, 63, 19, 75, 29, 85, 39, 95, 46, 102, 55, 111, 50, 106, 43, 99, 34, 90, 26, 82, 13, 69, 21, 77, 8, 64)(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, 122)(4, 123)(5, 113)(6, 129)(7, 132)(8, 114)(9, 128)(10, 131)(11, 135)(12, 133)(13, 116)(14, 134)(15, 117)(16, 141)(17, 143)(18, 118)(19, 140)(20, 142)(21, 144)(22, 120)(23, 121)(24, 126)(25, 124)(26, 127)(27, 125)(28, 150)(29, 152)(30, 149)(31, 151)(32, 130)(33, 138)(34, 136)(35, 139)(36, 137)(37, 158)(38, 160)(39, 157)(40, 159)(41, 147)(42, 145)(43, 148)(44, 146)(45, 166)(46, 168)(47, 165)(48, 167)(49, 155)(50, 153)(51, 156)(52, 154)(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) :: { ( 28, 28 ), ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1364
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^2 * Y1^-4, (Y3^-1 * Y1^2)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, (Y1^-1 * Y3^-3)^2, (Y3, Y1^-1)^2, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 10, 66, 22, 78, 40, 96, 54, 110, 50, 106, 36, 92, 47, 103, 35, 91, 46, 102, 31, 87, 45, 101, 28, 84, 42, 98, 30, 86, 44, 100, 27, 83, 41, 97, 55, 111, 52, 108, 34, 90, 17, 73, 26, 82, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 39, 95, 29, 85, 49, 105, 56, 112, 48, 104, 33, 89, 14, 70, 25, 81, 8, 64, 24, 80, 12, 68, 23, 79, 7, 63, 21, 77, 38, 94, 53, 109, 43, 99, 37, 93, 51, 107, 32, 88, 16, 72, 5, 61, 15, 71, 20, 76, 11, 67)(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, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 142)(12, 130)(13, 132)(14, 116)(15, 140)(16, 143)(17, 117)(18, 150)(19, 152)(20, 118)(21, 153)(22, 155)(23, 156)(24, 154)(25, 157)(26, 120)(27, 161)(28, 121)(29, 162)(30, 151)(31, 123)(32, 125)(33, 158)(34, 126)(35, 127)(36, 128)(37, 129)(38, 166)(39, 167)(40, 168)(41, 149)(42, 133)(43, 148)(44, 165)(45, 135)(46, 136)(47, 137)(48, 138)(49, 146)(50, 145)(51, 147)(52, 144)(53, 164)(54, 163)(55, 160)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 28 ), ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1363
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1377 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 28, 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), T1^8, T1^2 * T2^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 23, 11, 21, 35, 48, 55, 52, 42, 26, 41, 51, 54, 45, 30, 16, 6, 15, 29, 40, 25, 13, 5)(2, 7, 17, 31, 39, 24, 12, 4, 10, 20, 34, 47, 50, 37, 22, 36, 49, 56, 53, 44, 28, 14, 27, 43, 46, 32, 18, 8)(57, 58, 62, 70, 82, 78, 67, 60)(59, 63, 71, 83, 97, 92, 77, 66)(61, 64, 72, 84, 98, 93, 79, 68)(65, 73, 85, 99, 107, 105, 91, 76)(69, 74, 86, 100, 108, 106, 94, 80)(75, 87, 96, 102, 110, 112, 104, 90)(81, 88, 101, 109, 111, 103, 89, 95)
	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) :: { ( 112^8 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E24.1385
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 1
	degree seq :: [ 8^7, 28^2 ]

E24.1378 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 28, 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), T1^8, T1^-2 * T2^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 30, 16, 6, 15, 29, 45, 54, 52, 42, 26, 41, 51, 56, 49, 38, 23, 11, 21, 35, 40, 25, 13, 5)(2, 7, 17, 31, 46, 44, 28, 14, 27, 43, 53, 55, 48, 37, 22, 36, 47, 50, 39, 24, 12, 4, 10, 20, 34, 32, 18, 8)(57, 58, 62, 70, 82, 78, 67, 60)(59, 63, 71, 83, 97, 92, 77, 66)(61, 64, 72, 84, 98, 93, 79, 68)(65, 73, 85, 99, 107, 103, 91, 76)(69, 74, 86, 100, 108, 104, 94, 80)(75, 87, 101, 109, 112, 106, 96, 90)(81, 88, 89, 102, 110, 111, 105, 95)
	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) :: { ( 112^8 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E24.1386
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 1
	degree seq :: [ 8^7, 28^2 ]

E24.1379 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 28, 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^-2 * T1^5, T1^2 * T2 * T1 * T2^9, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 50, 52, 42, 32, 22, 16, 6, 15, 27, 37, 47, 54, 44, 34, 24, 12, 4, 10, 20, 31, 41, 51, 56, 49, 39, 29, 18, 8, 2, 7, 17, 28, 38, 48, 53, 43, 33, 23, 11, 21, 14, 26, 36, 46, 55, 45, 35, 25, 13, 5)(57, 58, 62, 70, 76, 65, 73, 83, 92, 97, 86, 94, 103, 111, 112, 106, 109, 100, 91, 95, 98, 89, 80, 69, 74, 78, 67, 60)(59, 63, 71, 82, 87, 75, 84, 93, 102, 107, 96, 104, 110, 101, 105, 108, 99, 90, 81, 85, 88, 79, 68, 61, 64, 72, 77, 66)
	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) :: { ( 16^28 ), ( 16^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1388
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 56 f = 7
	degree seq :: [ 28^2, 56 ]

E24.1380 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 28, 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^-6 * T1, T1^5 * T2 * T1 * T2 * T1^3, (T1^-1 * T2^-1)^8 ]
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, 52, 51, 40, 26, 39, 46, 54, 56, 50, 38, 47, 34, 45, 53, 55, 48, 35, 22, 33, 44, 49, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(57, 58, 62, 70, 82, 94, 104, 92, 80, 69, 74, 86, 98, 107, 112, 109, 100, 88, 76, 65, 73, 85, 97, 102, 90, 78, 67, 60)(59, 63, 71, 83, 95, 103, 91, 79, 68, 61, 64, 72, 84, 96, 106, 111, 105, 93, 81, 75, 87, 99, 108, 110, 101, 89, 77, 66)
	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) :: { ( 16^28 ), ( 16^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1387
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 56 f = 7
	degree seq :: [ 28^2, 56 ]

E24.1381 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 28, 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^-1, T2^8, T1 * T2^-2 * T1^-2 * T2^-1 * T1^-1 * T2^-3 * T1 * T2^-2 * T1, T2^3 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-3 * T2 * T1^-1, (T1^-1 * T2^-1)^28 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 25, 13, 5)(2, 7, 17, 31, 44, 32, 18, 8)(4, 10, 20, 34, 45, 38, 24, 12)(6, 15, 29, 42, 52, 43, 30, 16)(11, 21, 35, 46, 53, 48, 37, 23)(14, 27, 40, 50, 56, 51, 41, 28)(22, 36, 47, 54, 55, 49, 39, 26)(57, 58, 62, 70, 82, 79, 68, 61, 64, 72, 84, 95, 93, 80, 69, 74, 86, 97, 105, 104, 94, 81, 88, 99, 107, 111, 109, 101, 89, 100, 108, 112, 110, 102, 90, 75, 87, 98, 106, 103, 91, 76, 65, 73, 85, 96, 92, 77, 66, 59, 63, 71, 83, 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) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1384
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.1382 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 28, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-8, T2^3 * T1^-7, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 25, 13, 5)(2, 7, 17, 31, 48, 32, 18, 8)(4, 10, 20, 34, 49, 40, 24, 12)(6, 15, 29, 46, 56, 47, 30, 16)(11, 21, 35, 41, 53, 52, 39, 23)(14, 27, 44, 55, 50, 37, 45, 28)(22, 36, 43, 26, 42, 54, 51, 38)(57, 58, 62, 70, 82, 97, 90, 75, 87, 102, 111, 107, 95, 80, 69, 74, 86, 101, 92, 77, 66, 59, 63, 71, 83, 98, 109, 105, 89, 104, 112, 106, 94, 79, 68, 61, 64, 72, 84, 99, 91, 76, 65, 73, 85, 100, 110, 108, 96, 81, 88, 103, 93, 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) :: { ( 56^8 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1383
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 8^7, 56 ]

E24.1383 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 28, 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), T1^8, T1^2 * T2^7 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 33, 89, 38, 94, 23, 79, 11, 67, 21, 77, 35, 91, 48, 104, 55, 111, 52, 108, 42, 98, 26, 82, 41, 97, 51, 107, 54, 110, 45, 101, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 40, 96, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 39, 95, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 34, 90, 47, 103, 50, 106, 37, 93, 22, 78, 36, 92, 49, 105, 56, 112, 53, 109, 44, 100, 28, 84, 14, 70, 27, 83, 43, 99, 46, 102, 32, 88, 18, 74, 8, 64)
	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, 97)(28, 98)(29, 99)(30, 100)(31, 96)(32, 101)(33, 95)(34, 75)(35, 76)(36, 77)(37, 79)(38, 80)(39, 81)(40, 102)(41, 92)(42, 93)(43, 107)(44, 108)(45, 109)(46, 110)(47, 89)(48, 90)(49, 91)(50, 94)(51, 105)(52, 106)(53, 111)(54, 112)(55, 103)(56, 104)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1382
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1384 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 28, 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), T1^8, T1^-2 * T2^7 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 33, 89, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 45, 101, 54, 110, 52, 108, 42, 98, 26, 82, 41, 97, 51, 107, 56, 112, 49, 105, 38, 94, 23, 79, 11, 67, 21, 77, 35, 91, 40, 96, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 46, 102, 44, 100, 28, 84, 14, 70, 27, 83, 43, 99, 53, 109, 55, 111, 48, 104, 37, 93, 22, 78, 36, 92, 47, 103, 50, 106, 39, 95, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 34, 90, 32, 88, 18, 74, 8, 64)
	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, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 89)(33, 102)(34, 75)(35, 76)(36, 77)(37, 79)(38, 80)(39, 81)(40, 90)(41, 92)(42, 93)(43, 107)(44, 108)(45, 109)(46, 110)(47, 91)(48, 94)(49, 95)(50, 96)(51, 103)(52, 104)(53, 112)(54, 111)(55, 105)(56, 106)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1381
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1385 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 28, 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^-2 * T1^5, T1^2 * T2 * T1 * T2^9, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 30, 86, 40, 96, 50, 106, 52, 108, 42, 98, 32, 88, 22, 78, 16, 72, 6, 62, 15, 71, 27, 83, 37, 93, 47, 103, 54, 110, 44, 100, 34, 90, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 31, 87, 41, 97, 51, 107, 56, 112, 49, 105, 39, 95, 29, 85, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 28, 84, 38, 94, 48, 104, 53, 109, 43, 99, 33, 89, 23, 79, 11, 67, 21, 77, 14, 70, 26, 82, 36, 92, 46, 102, 55, 111, 45, 101, 35, 91, 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, 76)(15, 82)(16, 77)(17, 83)(18, 78)(19, 84)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 85)(26, 87)(27, 92)(28, 93)(29, 88)(30, 94)(31, 75)(32, 79)(33, 80)(34, 81)(35, 95)(36, 97)(37, 102)(38, 103)(39, 98)(40, 104)(41, 86)(42, 89)(43, 90)(44, 91)(45, 105)(46, 107)(47, 111)(48, 110)(49, 108)(50, 109)(51, 96)(52, 99)(53, 100)(54, 101)(55, 112)(56, 106)
	local type(s) :: { ( 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1377
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 9
	degree seq :: [ 112 ]

E24.1386 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 28, 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^-6 * T1, T1^5 * T2 * T1 * T2 * T1^3, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 31, 87, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 43, 99, 42, 98, 28, 84, 14, 70, 27, 83, 41, 97, 52, 108, 51, 107, 40, 96, 26, 82, 39, 95, 46, 102, 54, 110, 56, 112, 50, 106, 38, 94, 47, 103, 34, 90, 45, 101, 53, 109, 55, 111, 48, 104, 35, 91, 22, 78, 33, 89, 44, 100, 49, 105, 36, 92, 23, 79, 11, 67, 21, 77, 32, 88, 37, 93, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 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, 75)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 104)(39, 103)(40, 106)(41, 102)(42, 107)(43, 108)(44, 88)(45, 89)(46, 90)(47, 91)(48, 92)(49, 93)(50, 111)(51, 112)(52, 110)(53, 100)(54, 101)(55, 105)(56, 109)
	local type(s) :: { ( 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1378
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 9
	degree seq :: [ 112 ]

E24.1387 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 28, 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^-1, T2^8, T1 * T2^-2 * T1^-2 * T2^-1 * T1^-1 * T2^-3 * T1 * T2^-2 * T1, T2^3 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-3 * T2 * T1^-1, (T1^-1 * T2^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 33, 89, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 44, 100, 32, 88, 18, 74, 8, 64)(4, 60, 10, 66, 20, 76, 34, 90, 45, 101, 38, 94, 24, 80, 12, 68)(6, 62, 15, 71, 29, 85, 42, 98, 52, 108, 43, 99, 30, 86, 16, 72)(11, 67, 21, 77, 35, 91, 46, 102, 53, 109, 48, 104, 37, 93, 23, 79)(14, 70, 27, 83, 40, 96, 50, 106, 56, 112, 51, 107, 41, 97, 28, 84)(22, 78, 36, 92, 47, 103, 54, 110, 55, 111, 49, 105, 39, 95, 26, 82)
	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, 79)(27, 78)(28, 95)(29, 96)(30, 97)(31, 98)(32, 99)(33, 100)(34, 75)(35, 76)(36, 77)(37, 80)(38, 81)(39, 93)(40, 92)(41, 105)(42, 106)(43, 107)(44, 108)(45, 89)(46, 90)(47, 91)(48, 94)(49, 104)(50, 103)(51, 111)(52, 112)(53, 101)(54, 102)(55, 109)(56, 110)
	local type(s) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1380
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 56 f = 3
	degree seq :: [ 16^7 ]

E24.1388 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 28, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-8, T2^3 * T1^-7, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 33, 89, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 48, 104, 32, 88, 18, 74, 8, 64)(4, 60, 10, 66, 20, 76, 34, 90, 49, 105, 40, 96, 24, 80, 12, 68)(6, 62, 15, 71, 29, 85, 46, 102, 56, 112, 47, 103, 30, 86, 16, 72)(11, 67, 21, 77, 35, 91, 41, 97, 53, 109, 52, 108, 39, 95, 23, 79)(14, 70, 27, 83, 44, 100, 55, 111, 50, 106, 37, 93, 45, 101, 28, 84)(22, 78, 36, 92, 43, 99, 26, 82, 42, 98, 54, 110, 51, 107, 38, 94)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 73)(10, 59)(11, 60)(12, 61)(13, 74)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 88)(26, 97)(27, 98)(28, 99)(29, 100)(30, 101)(31, 102)(32, 103)(33, 104)(34, 75)(35, 76)(36, 77)(37, 78)(38, 79)(39, 80)(40, 81)(41, 90)(42, 109)(43, 91)(44, 110)(45, 92)(46, 111)(47, 93)(48, 112)(49, 89)(50, 94)(51, 95)(52, 96)(53, 105)(54, 108)(55, 107)(56, 106)
	local type(s) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1379
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 56 f = 3
	degree seq :: [ 16^7 ]

E24.1389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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, Y1 * Y3, Y3^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^8, Y1^8, Y3^2 * Y2^7 ]
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, 41, 97, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 37, 93, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 43, 99, 51, 107, 47, 103, 35, 91, 20, 76)(13, 69, 18, 74, 30, 86, 44, 100, 52, 108, 48, 104, 38, 94, 24, 80)(19, 75, 31, 87, 45, 101, 53, 109, 56, 112, 50, 106, 40, 96, 34, 90)(25, 81, 32, 88, 33, 89, 46, 102, 54, 110, 55, 111, 49, 105, 39, 95)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 157, 213, 166, 222, 164, 220, 154, 210, 138, 194, 153, 209, 163, 219, 168, 224, 161, 217, 150, 206, 135, 191, 123, 179, 133, 189, 147, 203, 152, 208, 137, 193, 125, 181, 117, 173)(114, 170, 119, 175, 129, 185, 143, 199, 158, 214, 156, 212, 140, 196, 126, 182, 139, 195, 155, 211, 165, 221, 167, 223, 160, 216, 149, 205, 134, 190, 148, 204, 159, 215, 162, 218, 151, 207, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 144, 200, 130, 186, 120, 176)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 132)(10, 133)(11, 134)(12, 135)(13, 136)(14, 118)(15, 119)(16, 120)(17, 121)(18, 125)(19, 146)(20, 147)(21, 148)(22, 138)(23, 149)(24, 150)(25, 151)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 137)(33, 144)(34, 152)(35, 159)(36, 153)(37, 154)(38, 160)(39, 161)(40, 162)(41, 139)(42, 140)(43, 141)(44, 142)(45, 143)(46, 145)(47, 163)(48, 164)(49, 167)(50, 168)(51, 155)(52, 156)(53, 157)(54, 158)(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, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 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 E24.1395
Graph:: bipartite
	v = 9 e = 112 f = 57
	degree seq :: [ 16^7, 56^2 ]

E24.1390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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, Y1 * Y2^-1 * Y3 * Y2, (R * Y2)^2, Y1^8, Y2^3 * Y3^-1 * Y2^-3 * Y1^-1, (Y1^-1 * Y3)^4, Y1 * Y2^4 * Y1 * Y2^3, Y2^3 * Y3^-1 * Y2^4 * Y3^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 ]
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, 41, 97, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 37, 93, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 43, 99, 51, 107, 49, 105, 35, 91, 20, 76)(13, 69, 18, 74, 30, 86, 44, 100, 52, 108, 50, 106, 38, 94, 24, 80)(19, 75, 31, 87, 40, 96, 46, 102, 54, 110, 56, 112, 48, 104, 34, 90)(25, 81, 32, 88, 45, 101, 53, 109, 55, 111, 47, 103, 33, 89, 39, 95)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 150, 206, 135, 191, 123, 179, 133, 189, 147, 203, 160, 216, 167, 223, 164, 220, 154, 210, 138, 194, 153, 209, 163, 219, 166, 222, 157, 213, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 152, 208, 137, 193, 125, 181, 117, 173)(114, 170, 119, 175, 129, 185, 143, 199, 151, 207, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 159, 215, 162, 218, 149, 205, 134, 190, 148, 204, 161, 217, 168, 224, 165, 221, 156, 212, 140, 196, 126, 182, 139, 195, 155, 211, 158, 214, 144, 200, 130, 186, 120, 176)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 132)(10, 133)(11, 134)(12, 135)(13, 136)(14, 118)(15, 119)(16, 120)(17, 121)(18, 125)(19, 146)(20, 147)(21, 148)(22, 138)(23, 149)(24, 150)(25, 151)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 137)(33, 159)(34, 160)(35, 161)(36, 153)(37, 154)(38, 162)(39, 145)(40, 143)(41, 139)(42, 140)(43, 141)(44, 142)(45, 144)(46, 152)(47, 167)(48, 168)(49, 163)(50, 164)(51, 155)(52, 156)(53, 157)(54, 158)(55, 165)(56, 166)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 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 E24.1396
Graph:: bipartite
	v = 9 e = 112 f = 57
	degree seq :: [ 16^7, 56^2 ]

E24.1391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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), Y2^2 * Y1^-1 * Y2^4, Y1^5 * Y2 * Y1 * Y2 * Y1^3, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 38, 94, 48, 104, 36, 92, 24, 80, 13, 69, 18, 74, 30, 86, 42, 98, 51, 107, 56, 112, 53, 109, 44, 100, 32, 88, 20, 76, 9, 65, 17, 73, 29, 85, 41, 97, 46, 102, 34, 90, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 39, 95, 47, 103, 35, 91, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 40, 96, 50, 106, 55, 111, 49, 105, 37, 93, 25, 81, 19, 75, 31, 87, 43, 99, 52, 108, 54, 110, 45, 101, 33, 89, 21, 77, 10, 66)(113, 169, 115, 171, 121, 177, 131, 187, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 155, 211, 154, 210, 140, 196, 126, 182, 139, 195, 153, 209, 164, 220, 163, 219, 152, 208, 138, 194, 151, 207, 158, 214, 166, 222, 168, 224, 162, 218, 150, 206, 159, 215, 146, 202, 157, 213, 165, 221, 167, 223, 160, 216, 147, 203, 134, 190, 145, 201, 156, 212, 161, 217, 148, 204, 135, 191, 123, 179, 133, 189, 144, 200, 149, 205, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 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, 130)(20, 137)(21, 144)(22, 145)(23, 123)(24, 124)(25, 125)(26, 151)(27, 153)(28, 126)(29, 155)(30, 128)(31, 142)(32, 149)(33, 156)(34, 157)(35, 134)(36, 135)(37, 136)(38, 159)(39, 158)(40, 138)(41, 164)(42, 140)(43, 154)(44, 161)(45, 165)(46, 166)(47, 146)(48, 147)(49, 148)(50, 150)(51, 152)(52, 163)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E24.1393
Graph:: bipartite
	v = 3 e = 112 f = 63
	degree seq :: [ 56^2, 112 ]

E24.1392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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^-2 * Y1^5, Y1^2 * Y2 * Y1 * Y2^9, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 20, 76, 9, 65, 17, 73, 27, 83, 36, 92, 41, 97, 30, 86, 38, 94, 47, 103, 55, 111, 56, 112, 50, 106, 53, 109, 44, 100, 35, 91, 39, 95, 42, 98, 33, 89, 24, 80, 13, 69, 18, 74, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 26, 82, 31, 87, 19, 75, 28, 84, 37, 93, 46, 102, 51, 107, 40, 96, 48, 104, 54, 110, 45, 101, 49, 105, 52, 108, 43, 99, 34, 90, 25, 81, 29, 85, 32, 88, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 21, 77, 10, 66)(113, 169, 115, 171, 121, 177, 131, 187, 142, 198, 152, 208, 162, 218, 164, 220, 154, 210, 144, 200, 134, 190, 128, 184, 118, 174, 127, 183, 139, 195, 149, 205, 159, 215, 166, 222, 156, 212, 146, 202, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 143, 199, 153, 209, 163, 219, 168, 224, 161, 217, 151, 207, 141, 197, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 140, 196, 150, 206, 160, 216, 165, 221, 155, 211, 145, 201, 135, 191, 123, 179, 133, 189, 126, 182, 138, 194, 148, 204, 158, 214, 167, 223, 157, 213, 147, 203, 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, 138)(15, 139)(16, 118)(17, 140)(18, 120)(19, 142)(20, 143)(21, 126)(22, 128)(23, 123)(24, 124)(25, 125)(26, 148)(27, 149)(28, 150)(29, 130)(30, 152)(31, 153)(32, 134)(33, 135)(34, 136)(35, 137)(36, 158)(37, 159)(38, 160)(39, 141)(40, 162)(41, 163)(42, 144)(43, 145)(44, 146)(45, 147)(46, 167)(47, 166)(48, 165)(49, 151)(50, 164)(51, 168)(52, 154)(53, 155)(54, 156)(55, 157)(56, 161)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E24.1394
Graph:: bipartite
	v = 3 e = 112 f = 63
	degree seq :: [ 56^2, 112 ]

E24.1393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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 * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^7, Y2^8, 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^-2 * Y3^-2, (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, 138, 194, 134, 190, 123, 179, 116, 172)(115, 171, 119, 175, 127, 183, 139, 195, 151, 207, 147, 203, 133, 189, 122, 178)(117, 173, 120, 176, 128, 184, 140, 196, 152, 208, 148, 204, 135, 191, 124, 180)(121, 177, 129, 185, 141, 197, 153, 209, 161, 217, 158, 214, 146, 202, 132, 188)(125, 181, 130, 186, 142, 198, 154, 210, 162, 218, 159, 215, 149, 205, 136, 192)(131, 187, 143, 199, 155, 211, 163, 219, 167, 223, 165, 221, 157, 213, 145, 201)(137, 193, 144, 200, 156, 212, 164, 220, 168, 224, 166, 222, 160, 216, 150, 206)
	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) :: { ( 56, 112 ), ( 56, 112, 56, 112, 56, 112, 56, 112, 56, 112, 56, 112, 56, 112, 56, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1391
Graph:: simple bipartite
	v = 63 e = 112 f = 3
	degree seq :: [ 2^56, 16^7 ]

E24.1394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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 * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^8, Y2^8, Y2^-3 * Y3^-7, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^4 * Y2^-3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (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, 138, 194, 134, 190, 123, 179, 116, 172)(115, 171, 119, 175, 127, 183, 139, 195, 153, 209, 148, 204, 133, 189, 122, 178)(117, 173, 120, 176, 128, 184, 140, 196, 154, 210, 149, 205, 135, 191, 124, 180)(121, 177, 129, 185, 141, 197, 155, 211, 165, 221, 164, 220, 147, 203, 132, 188)(125, 181, 130, 186, 142, 198, 156, 212, 166, 222, 161, 217, 150, 206, 136, 192)(131, 187, 143, 199, 157, 213, 152, 208, 160, 216, 168, 224, 163, 219, 146, 202)(137, 193, 144, 200, 158, 214, 167, 223, 162, 218, 145, 201, 159, 215, 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, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 145)(20, 146)(21, 147)(22, 148)(23, 123)(24, 124)(25, 125)(26, 153)(27, 155)(28, 126)(29, 157)(30, 128)(31, 159)(32, 130)(33, 161)(34, 162)(35, 163)(36, 164)(37, 134)(38, 135)(39, 136)(40, 137)(41, 165)(42, 138)(43, 152)(44, 140)(45, 151)(46, 142)(47, 150)(48, 144)(49, 149)(50, 166)(51, 167)(52, 168)(53, 160)(54, 154)(55, 156)(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) :: { ( 56, 112 ), ( 56, 112, 56, 112, 56, 112, 56, 112, 56, 112, 56, 112, 56, 112, 56, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1392
Graph:: simple bipartite
	v = 63 e = 112 f = 3
	degree seq :: [ 2^56, 16^7 ]

E24.1395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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^-7 * Y3^-1, Y3^8, Y3^3 * Y1^-1 * Y3 * Y1^-2 * Y3^2 * Y1^-3 * Y3 * Y1^-1, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^28 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 39, 95, 37, 93, 24, 80, 13, 69, 18, 74, 30, 86, 41, 97, 49, 105, 48, 104, 38, 94, 25, 81, 32, 88, 43, 99, 51, 107, 55, 111, 53, 109, 45, 101, 33, 89, 44, 100, 52, 108, 56, 112, 54, 110, 46, 102, 34, 90, 19, 75, 31, 87, 42, 98, 50, 106, 47, 103, 35, 91, 20, 76, 9, 65, 17, 73, 29, 85, 40, 96, 36, 92, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 22, 78, 11, 67, 4, 60)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 145)(20, 146)(21, 147)(22, 148)(23, 123)(24, 124)(25, 125)(26, 134)(27, 152)(28, 126)(29, 154)(30, 128)(31, 156)(32, 130)(33, 137)(34, 157)(35, 158)(36, 159)(37, 135)(38, 136)(39, 138)(40, 162)(41, 140)(42, 164)(43, 142)(44, 144)(45, 150)(46, 165)(47, 166)(48, 149)(49, 151)(50, 168)(51, 153)(52, 155)(53, 160)(54, 167)(55, 161)(56, 163)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 16, 56 ), ( 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1389
Graph:: bipartite
	v = 57 e = 112 f = 9
	degree seq :: [ 2^56, 112 ]

E24.1396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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, (Y3, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-8, Y3^8, Y3^3 * Y1^-7, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^28 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 41, 97, 34, 90, 19, 75, 31, 87, 46, 102, 55, 111, 51, 107, 39, 95, 24, 80, 13, 69, 18, 74, 30, 86, 45, 101, 36, 92, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 42, 98, 53, 109, 49, 105, 33, 89, 48, 104, 56, 112, 50, 106, 38, 94, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 43, 99, 35, 91, 20, 76, 9, 65, 17, 73, 29, 85, 44, 100, 54, 110, 52, 108, 40, 96, 25, 81, 32, 88, 47, 103, 37, 93, 22, 78, 11, 67, 4, 60)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 145)(20, 146)(21, 147)(22, 148)(23, 123)(24, 124)(25, 125)(26, 154)(27, 156)(28, 126)(29, 158)(30, 128)(31, 160)(32, 130)(33, 137)(34, 161)(35, 153)(36, 155)(37, 157)(38, 134)(39, 135)(40, 136)(41, 165)(42, 166)(43, 138)(44, 167)(45, 140)(46, 168)(47, 142)(48, 144)(49, 152)(50, 149)(51, 150)(52, 151)(53, 164)(54, 163)(55, 162)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 16, 56 ), ( 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1390
Graph:: bipartite
	v = 57 e = 112 f = 9
	degree seq :: [ 2^56, 112 ]

E24.1397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1^-1), Y3 * Y2^-7, Y3^8, Y1^8, Y3^3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2 * Y3 ]
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, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 40, 96, 37, 93, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 41, 97, 49, 105, 47, 103, 35, 91, 20, 76)(13, 69, 18, 74, 30, 86, 42, 98, 50, 106, 48, 104, 38, 94, 24, 80)(19, 75, 31, 87, 43, 99, 51, 107, 55, 111, 54, 110, 46, 102, 34, 90)(25, 81, 32, 88, 44, 100, 52, 108, 56, 112, 53, 109, 45, 101, 33, 89)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 157, 213, 150, 206, 135, 191, 123, 179, 133, 189, 147, 203, 158, 214, 165, 221, 160, 216, 149, 205, 134, 190, 148, 204, 159, 215, 166, 222, 168, 224, 162, 218, 152, 208, 138, 194, 151, 207, 161, 217, 167, 223, 164, 220, 154, 210, 140, 196, 126, 182, 139, 195, 153, 209, 163, 219, 156, 212, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 155, 211, 144, 200, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 137, 193, 125, 181, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 132)(10, 133)(11, 134)(12, 135)(13, 136)(14, 118)(15, 119)(16, 120)(17, 121)(18, 125)(19, 146)(20, 147)(21, 148)(22, 138)(23, 149)(24, 150)(25, 145)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 137)(33, 157)(34, 158)(35, 159)(36, 151)(37, 152)(38, 160)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 165)(46, 166)(47, 161)(48, 162)(49, 153)(50, 154)(51, 155)(52, 156)(53, 168)(54, 167)(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, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1399
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 16^7, 112 ]

E24.1398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y1^8, Y2^3 * Y3 * Y2^4 * Y1^-2, Y3^2 * Y2^-1 * Y3 * Y2^-4 * Y3 * Y2^-2 * Y3, (Y1^-2 * Y3^3)^8, 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 ]
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, 41, 97, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 37, 93, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 43, 99, 53, 109, 49, 105, 35, 91, 20, 76)(13, 69, 18, 74, 30, 86, 44, 100, 54, 110, 50, 106, 38, 94, 24, 80)(19, 75, 31, 87, 45, 101, 55, 111, 52, 108, 40, 96, 48, 104, 34, 90)(25, 81, 32, 88, 46, 102, 33, 89, 47, 103, 56, 112, 51, 107, 39, 95)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 156, 212, 140, 196, 126, 182, 139, 195, 155, 211, 167, 223, 163, 219, 150, 206, 135, 191, 123, 179, 133, 189, 147, 203, 160, 216, 144, 200, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 159, 215, 166, 222, 154, 210, 138, 194, 153, 209, 165, 221, 164, 220, 151, 207, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 158, 214, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 157, 213, 168, 224, 162, 218, 149, 205, 134, 190, 148, 204, 161, 217, 152, 208, 137, 193, 125, 181, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 132)(10, 133)(11, 134)(12, 135)(13, 136)(14, 118)(15, 119)(16, 120)(17, 121)(18, 125)(19, 146)(20, 147)(21, 148)(22, 138)(23, 149)(24, 150)(25, 151)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 137)(33, 158)(34, 160)(35, 161)(36, 153)(37, 154)(38, 162)(39, 163)(40, 164)(41, 139)(42, 140)(43, 141)(44, 142)(45, 143)(46, 144)(47, 145)(48, 152)(49, 165)(50, 166)(51, 168)(52, 167)(53, 155)(54, 156)(55, 157)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1400
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 16^7, 112 ]

E24.1399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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, Y3^2 * Y1^-1 * Y3^4, Y1^5 * Y3 * Y1 * Y3 * Y1^3, (Y1^-1 * Y3^-1)^8, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 38, 94, 48, 104, 36, 92, 24, 80, 13, 69, 18, 74, 30, 86, 42, 98, 51, 107, 56, 112, 53, 109, 44, 100, 32, 88, 20, 76, 9, 65, 17, 73, 29, 85, 41, 97, 46, 102, 34, 90, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 39, 95, 47, 103, 35, 91, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 40, 96, 50, 106, 55, 111, 49, 105, 37, 93, 25, 81, 19, 75, 31, 87, 43, 99, 52, 108, 54, 110, 45, 101, 33, 89, 21, 77, 10, 66)(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, 130)(20, 137)(21, 144)(22, 145)(23, 123)(24, 124)(25, 125)(26, 151)(27, 153)(28, 126)(29, 155)(30, 128)(31, 142)(32, 149)(33, 156)(34, 157)(35, 134)(36, 135)(37, 136)(38, 159)(39, 158)(40, 138)(41, 164)(42, 140)(43, 154)(44, 161)(45, 165)(46, 166)(47, 146)(48, 147)(49, 148)(50, 150)(51, 152)(52, 163)(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) :: { ( 16, 112 ), ( 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1397
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 28, 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, Y3^-2 * Y1^5, Y1^2 * Y3 * Y1 * Y3^9, (Y1^-1 * Y3^-1)^8, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 20, 76, 9, 65, 17, 73, 27, 83, 36, 92, 41, 97, 30, 86, 38, 94, 47, 103, 55, 111, 56, 112, 50, 106, 53, 109, 44, 100, 35, 91, 39, 95, 42, 98, 33, 89, 24, 80, 13, 69, 18, 74, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 26, 82, 31, 87, 19, 75, 28, 84, 37, 93, 46, 102, 51, 107, 40, 96, 48, 104, 54, 110, 45, 101, 49, 105, 52, 108, 43, 99, 34, 90, 25, 81, 29, 85, 32, 88, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 21, 77, 10, 66)(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, 138)(15, 139)(16, 118)(17, 140)(18, 120)(19, 142)(20, 143)(21, 126)(22, 128)(23, 123)(24, 124)(25, 125)(26, 148)(27, 149)(28, 150)(29, 130)(30, 152)(31, 153)(32, 134)(33, 135)(34, 136)(35, 137)(36, 158)(37, 159)(38, 160)(39, 141)(40, 162)(41, 163)(42, 144)(43, 145)(44, 146)(45, 147)(46, 167)(47, 166)(48, 165)(49, 151)(50, 164)(51, 168)(52, 154)(53, 155)(54, 156)(55, 157)(56, 161)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 16, 112 ), ( 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1398
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1401 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-1 * T2^8, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 31, 18, 8, 2, 7, 17, 30, 44, 43, 29, 16, 6, 15, 28, 42, 52, 51, 41, 27, 14, 26, 40, 50, 56, 54, 47, 36, 22, 35, 46, 53, 55, 48, 37, 23, 11, 21, 34, 45, 49, 38, 24, 12, 4, 10, 20, 33, 39, 25, 13, 5)(57, 58, 62, 70, 78, 67, 60)(59, 63, 71, 82, 91, 77, 66)(61, 64, 72, 83, 92, 79, 68)(65, 73, 84, 96, 102, 90, 76)(69, 74, 85, 97, 103, 93, 80)(75, 86, 98, 106, 109, 101, 89)(81, 87, 99, 107, 110, 104, 94)(88, 100, 108, 112, 111, 105, 95)
	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 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1411
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 1
	degree seq :: [ 7^8, 56 ]

E24.1402 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 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^-1, T2^-1), (F * T1)^2, T1^7, T1^7, T1^3 * T2^-8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 46, 41, 27, 14, 26, 40, 54, 52, 38, 24, 12, 4, 10, 20, 33, 47, 43, 29, 16, 6, 15, 28, 42, 55, 51, 37, 23, 11, 21, 34, 48, 45, 31, 18, 8, 2, 7, 17, 30, 44, 56, 50, 36, 22, 35, 49, 53, 39, 25, 13, 5)(57, 58, 62, 70, 78, 67, 60)(59, 63, 71, 82, 91, 77, 66)(61, 64, 72, 83, 92, 79, 68)(65, 73, 84, 96, 105, 90, 76)(69, 74, 85, 97, 106, 93, 80)(75, 86, 98, 110, 109, 104, 89)(81, 87, 99, 102, 112, 107, 94)(88, 100, 111, 108, 95, 101, 103)
	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 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1409
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 1
	degree seq :: [ 7^8, 56 ]

E24.1403 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T1^3 * T2^8, T2^2 * T1^-1 * T2 * T1^-2 * T2^5 * T1^-1, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 46, 50, 36, 22, 35, 49, 56, 45, 31, 18, 8, 2, 7, 17, 30, 44, 51, 37, 23, 11, 21, 34, 48, 55, 43, 29, 16, 6, 15, 28, 42, 52, 38, 24, 12, 4, 10, 20, 33, 47, 54, 41, 27, 14, 26, 40, 53, 39, 25, 13, 5)(57, 58, 62, 70, 78, 67, 60)(59, 63, 71, 82, 91, 77, 66)(61, 64, 72, 83, 92, 79, 68)(65, 73, 84, 96, 105, 90, 76)(69, 74, 85, 97, 106, 93, 80)(75, 86, 98, 109, 112, 104, 89)(81, 87, 99, 110, 102, 107, 94)(88, 100, 108, 95, 101, 111, 103)
	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 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1412
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 1
	degree seq :: [ 7^8, 56 ]

E24.1404 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-7, T1^7, T1^-2 * T2^-8, T1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-4 * T1, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 46, 37, 23, 11, 21, 34, 48, 55, 52, 41, 27, 14, 26, 40, 51, 45, 31, 18, 8, 2, 7, 17, 30, 44, 38, 24, 12, 4, 10, 20, 33, 47, 54, 50, 36, 22, 35, 49, 56, 53, 43, 29, 16, 6, 15, 28, 42, 39, 25, 13, 5)(57, 58, 62, 70, 78, 67, 60)(59, 63, 71, 82, 91, 77, 66)(61, 64, 72, 83, 92, 79, 68)(65, 73, 84, 96, 105, 90, 76)(69, 74, 85, 97, 106, 93, 80)(75, 86, 98, 107, 112, 104, 89)(81, 87, 99, 108, 110, 102, 94)(88, 100, 95, 101, 109, 111, 103)
	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 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1408
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 1
	degree seq :: [ 7^8, 56 ]

E24.1405 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-7, T1^7, T2^8 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 43, 29, 16, 6, 15, 28, 42, 53, 55, 48, 36, 22, 35, 47, 54, 50, 38, 24, 12, 4, 10, 20, 33, 45, 31, 18, 8, 2, 7, 17, 30, 44, 52, 41, 27, 14, 26, 40, 51, 56, 49, 37, 23, 11, 21, 34, 46, 39, 25, 13, 5)(57, 58, 62, 70, 78, 67, 60)(59, 63, 71, 82, 91, 77, 66)(61, 64, 72, 83, 92, 79, 68)(65, 73, 84, 96, 103, 90, 76)(69, 74, 85, 97, 104, 93, 80)(75, 86, 98, 107, 110, 102, 89)(81, 87, 99, 108, 111, 105, 94)(88, 100, 109, 112, 106, 95, 101)
	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 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1410
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 1
	degree seq :: [ 7^8, 56 ]

E24.1406 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^4 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 44, 51, 41, 26, 40, 50, 56, 54, 47, 36, 22, 34, 45, 38, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 43, 28, 14, 27, 42, 52, 55, 49, 39, 35, 46, 53, 48, 37, 23, 11, 21, 33, 25, 13, 5)(57, 58, 62, 70, 82, 95, 92, 79, 68, 61, 64, 72, 84, 97, 105, 103, 93, 80, 69, 74, 86, 99, 107, 111, 110, 104, 94, 81, 88, 75, 87, 100, 108, 112, 109, 101, 89, 76, 65, 73, 85, 98, 106, 102, 90, 77, 66, 59, 63, 71, 83, 96, 91, 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) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1413
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1407 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^2 * T1^-1 * T2 * T1^-4, T1^-1 * T2^-1 * T1^-1 * T2^-9, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 53, 45, 35, 23, 11, 21, 28, 14, 27, 39, 49, 56, 52, 42, 32, 18, 8, 2, 7, 17, 31, 41, 51, 46, 36, 24, 12, 4, 10, 20, 26, 38, 48, 55, 54, 44, 34, 22, 30, 16, 6, 15, 29, 40, 50, 47, 37, 25, 13, 5)(57, 58, 62, 70, 82, 75, 87, 96, 105, 111, 109, 102, 93, 98, 90, 79, 68, 61, 64, 72, 84, 76, 65, 73, 85, 95, 104, 99, 107, 103, 108, 100, 91, 80, 69, 74, 86, 77, 66, 59, 63, 71, 83, 94, 89, 97, 106, 112, 110, 101, 92, 81, 88, 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) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1414
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1408 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-1 * T2^8, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 32, 88, 31, 87, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 30, 86, 44, 100, 43, 99, 29, 85, 16, 72, 6, 62, 15, 71, 28, 84, 42, 98, 52, 108, 51, 107, 41, 97, 27, 83, 14, 70, 26, 82, 40, 96, 50, 106, 56, 112, 54, 110, 47, 103, 36, 92, 22, 78, 35, 91, 46, 102, 53, 109, 55, 111, 48, 104, 37, 93, 23, 79, 11, 67, 21, 77, 34, 90, 45, 101, 49, 105, 38, 94, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 33, 89, 39, 95, 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, 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, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 79)(37, 80)(38, 81)(39, 88)(40, 102)(41, 103)(42, 106)(43, 107)(44, 108)(45, 89)(46, 90)(47, 93)(48, 94)(49, 95)(50, 109)(51, 110)(52, 112)(53, 101)(54, 104)(55, 105)(56, 111)
	local type(s) :: { ( 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1404
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 9
	degree seq :: [ 112 ]

E24.1409 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 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^-1, T2^-1), (F * T1)^2, T1^7, T1^7, T1^3 * T2^-8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 32, 88, 46, 102, 41, 97, 27, 83, 14, 70, 26, 82, 40, 96, 54, 110, 52, 108, 38, 94, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 33, 89, 47, 103, 43, 99, 29, 85, 16, 72, 6, 62, 15, 71, 28, 84, 42, 98, 55, 111, 51, 107, 37, 93, 23, 79, 11, 67, 21, 77, 34, 90, 48, 104, 45, 101, 31, 87, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 30, 86, 44, 100, 56, 112, 50, 106, 36, 92, 22, 78, 35, 91, 49, 105, 53, 109, 39, 95, 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, 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, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 79)(37, 80)(38, 81)(39, 101)(40, 105)(41, 106)(42, 110)(43, 102)(44, 111)(45, 103)(46, 112)(47, 88)(48, 89)(49, 90)(50, 93)(51, 94)(52, 95)(53, 104)(54, 109)(55, 108)(56, 107)
	local type(s) :: { ( 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1402
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 9
	degree seq :: [ 112 ]

E24.1410 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T1^3 * T2^8, T2^2 * T1^-1 * T2 * T1^-2 * T2^5 * T1^-1, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 32, 88, 46, 102, 50, 106, 36, 92, 22, 78, 35, 91, 49, 105, 56, 112, 45, 101, 31, 87, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 30, 86, 44, 100, 51, 107, 37, 93, 23, 79, 11, 67, 21, 77, 34, 90, 48, 104, 55, 111, 43, 99, 29, 85, 16, 72, 6, 62, 15, 71, 28, 84, 42, 98, 52, 108, 38, 94, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 33, 89, 47, 103, 54, 110, 41, 97, 27, 83, 14, 70, 26, 82, 40, 96, 53, 109, 39, 95, 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, 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, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 79)(37, 80)(38, 81)(39, 101)(40, 105)(41, 106)(42, 109)(43, 110)(44, 108)(45, 111)(46, 107)(47, 88)(48, 89)(49, 90)(50, 93)(51, 94)(52, 95)(53, 112)(54, 102)(55, 103)(56, 104)
	local type(s) :: { ( 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1405
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 9
	degree seq :: [ 112 ]

E24.1411 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-7, T1^7, T1^-2 * T2^-8, T1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-4 * T1, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 32, 88, 46, 102, 37, 93, 23, 79, 11, 67, 21, 77, 34, 90, 48, 104, 55, 111, 52, 108, 41, 97, 27, 83, 14, 70, 26, 82, 40, 96, 51, 107, 45, 101, 31, 87, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 30, 86, 44, 100, 38, 94, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 33, 89, 47, 103, 54, 110, 50, 106, 36, 92, 22, 78, 35, 91, 49, 105, 56, 112, 53, 109, 43, 99, 29, 85, 16, 72, 6, 62, 15, 71, 28, 84, 42, 98, 39, 95, 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, 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, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 79)(37, 80)(38, 81)(39, 101)(40, 105)(41, 106)(42, 107)(43, 108)(44, 95)(45, 109)(46, 94)(47, 88)(48, 89)(49, 90)(50, 93)(51, 112)(52, 110)(53, 111)(54, 102)(55, 103)(56, 104)
	local type(s) :: { ( 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1401
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 9
	degree seq :: [ 112 ]

E24.1412 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-7, T1^7, T2^8 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 32, 88, 43, 99, 29, 85, 16, 72, 6, 62, 15, 71, 28, 84, 42, 98, 53, 109, 55, 111, 48, 104, 36, 92, 22, 78, 35, 91, 47, 103, 54, 110, 50, 106, 38, 94, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 33, 89, 45, 101, 31, 87, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 30, 86, 44, 100, 52, 108, 41, 97, 27, 83, 14, 70, 26, 82, 40, 96, 51, 107, 56, 112, 49, 105, 37, 93, 23, 79, 11, 67, 21, 77, 34, 90, 46, 102, 39, 95, 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, 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, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 79)(37, 80)(38, 81)(39, 101)(40, 103)(41, 104)(42, 107)(43, 108)(44, 109)(45, 88)(46, 89)(47, 90)(48, 93)(49, 94)(50, 95)(51, 110)(52, 111)(53, 112)(54, 102)(55, 105)(56, 106)
	local type(s) :: { ( 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1403
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 9
	degree seq :: [ 112 ]

E24.1413 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^7, T1^8 * T2^-1, (T1^-1 * T2^-1)^56 ]
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, 40, 96, 50, 106, 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, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 88)(26, 91)(27, 96)(28, 92)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 102)(41, 106)(42, 103)(43, 107)(44, 108)(45, 89)(46, 90)(47, 93)(48, 94)(49, 95)(50, 109)(51, 112)(52, 110)(53, 101)(54, 104)(55, 105)(56, 111)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1406
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1414 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^7, T2^7, T2^3 * T1^8, T2 * T1^-1 * T2 * T1^-3 * T2^2 * T1^-4, (T1^-1 * T2^-1)^56 ]
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, 45, 101, 46, 102, 30, 86, 16, 72)(11, 67, 21, 77, 34, 90, 47, 103, 53, 109, 38, 94, 23, 79)(14, 70, 27, 83, 43, 99, 50, 106, 56, 112, 44, 100, 28, 84)(22, 78, 35, 91, 48, 104, 54, 110, 40, 96, 52, 108, 37, 93)(26, 82, 41, 97, 51, 107, 36, 92, 49, 105, 55, 111, 42, 98)
	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, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 109)(41, 108)(42, 110)(43, 107)(44, 111)(45, 106)(46, 112)(47, 89)(48, 90)(49, 91)(50, 92)(51, 93)(52, 94)(53, 95)(54, 103)(55, 104)(56, 105)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1407
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^7, Y2^2 * Y3^2 * Y2^-2 * Y3^-2, Y2^-8 * 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, 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, 46, 102, 34, 90, 20, 76)(13, 69, 18, 74, 29, 85, 41, 97, 47, 103, 37, 93, 24, 80)(19, 75, 30, 86, 42, 98, 50, 106, 53, 109, 45, 101, 33, 89)(25, 81, 31, 87, 43, 99, 51, 107, 54, 110, 48, 104, 38, 94)(32, 88, 44, 100, 52, 108, 56, 112, 55, 111, 49, 105, 39, 95)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 143, 199, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 142, 198, 156, 212, 155, 211, 141, 197, 128, 184, 118, 174, 127, 183, 140, 196, 154, 210, 164, 220, 163, 219, 153, 209, 139, 195, 126, 182, 138, 194, 152, 208, 162, 218, 168, 224, 166, 222, 159, 215, 148, 204, 134, 190, 147, 203, 158, 214, 165, 221, 167, 223, 160, 216, 149, 205, 135, 191, 123, 179, 133, 189, 146, 202, 157, 213, 161, 217, 150, 206, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 145, 201, 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, 151)(33, 157)(34, 158)(35, 138)(36, 139)(37, 159)(38, 160)(39, 161)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 165)(46, 152)(47, 153)(48, 166)(49, 167)(50, 154)(51, 155)(52, 156)(53, 162)(54, 163)(55, 168)(56, 164)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1427
Graph:: bipartite
	v = 9 e = 112 f = 57
	degree seq :: [ 14^8, 112 ]

E24.1416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^2 * Y1^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), Y1 * Y2 * Y3^2 * Y2^-1 * Y1, Y3^2 * Y1^-5, Y2^-1 * Y1 * Y2^-3 * Y1 * Y3^-1 * Y2^-4, Y3^21, Y3^-6 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-51 ]
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, 49, 105, 34, 90, 20, 76)(13, 69, 18, 74, 29, 85, 41, 97, 50, 106, 37, 93, 24, 80)(19, 75, 30, 86, 42, 98, 54, 110, 53, 109, 48, 104, 33, 89)(25, 81, 31, 87, 43, 99, 46, 102, 56, 112, 51, 107, 38, 94)(32, 88, 44, 100, 55, 111, 52, 108, 39, 95, 45, 101, 47, 103)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 158, 214, 153, 209, 139, 195, 126, 182, 138, 194, 152, 208, 166, 222, 164, 220, 150, 206, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 145, 201, 159, 215, 155, 211, 141, 197, 128, 184, 118, 174, 127, 183, 140, 196, 154, 210, 167, 223, 163, 219, 149, 205, 135, 191, 123, 179, 133, 189, 146, 202, 160, 216, 157, 213, 143, 199, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 142, 198, 156, 212, 168, 224, 162, 218, 148, 204, 134, 190, 147, 203, 161, 217, 165, 221, 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, 159)(33, 160)(34, 161)(35, 138)(36, 139)(37, 162)(38, 163)(39, 164)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 151)(46, 155)(47, 157)(48, 165)(49, 152)(50, 153)(51, 168)(52, 167)(53, 166)(54, 154)(55, 156)(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) :: { ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 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 E24.1425
Graph:: bipartite
	v = 9 e = 112 f = 57
	degree seq :: [ 14^8, 112 ]

E24.1417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y2 * Y3^-2 * Y2^-1 * Y1^-2, Y1^7, Y1 * Y2^-3 * Y3 * Y1^-1 * Y2^3 * Y1, Y2^4 * Y1 * Y2^4 * Y1 * Y3^-1, Y2^2 * Y3 * Y2 * Y3 * Y2^5 * Y1^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 49, 105, 34, 90, 20, 76)(13, 69, 18, 74, 29, 85, 41, 97, 50, 106, 37, 93, 24, 80)(19, 75, 30, 86, 42, 98, 53, 109, 56, 112, 48, 104, 33, 89)(25, 81, 31, 87, 43, 99, 54, 110, 46, 102, 51, 107, 38, 94)(32, 88, 44, 100, 52, 108, 39, 95, 45, 101, 55, 111, 47, 103)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 158, 214, 162, 218, 148, 204, 134, 190, 147, 203, 161, 217, 168, 224, 157, 213, 143, 199, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 142, 198, 156, 212, 163, 219, 149, 205, 135, 191, 123, 179, 133, 189, 146, 202, 160, 216, 167, 223, 155, 211, 141, 197, 128, 184, 118, 174, 127, 183, 140, 196, 154, 210, 164, 220, 150, 206, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 145, 201, 159, 215, 166, 222, 153, 209, 139, 195, 126, 182, 138, 194, 152, 208, 165, 221, 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, 159)(33, 160)(34, 161)(35, 138)(36, 139)(37, 162)(38, 163)(39, 164)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 151)(46, 166)(47, 167)(48, 168)(49, 152)(50, 153)(51, 158)(52, 156)(53, 154)(54, 155)(55, 157)(56, 165)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1428
Graph:: bipartite
	v = 9 e = 112 f = 57
	degree seq :: [ 14^8, 112 ]

E24.1418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2^-1, Y1), Y1^-7, Y3^-4 * Y1 * Y3^-2, Y1^7, Y2^8 * Y1^-2, Y2^-1 * Y3 * Y2^-4 * Y3^-3 * Y2^-3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 51, 107, 54, 110, 46, 102, 33, 89)(25, 81, 31, 87, 43, 99, 52, 108, 55, 111, 49, 105, 38, 94)(32, 88, 44, 100, 53, 109, 56, 112, 50, 106, 39, 95, 45, 101)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 155, 211, 141, 197, 128, 184, 118, 174, 127, 183, 140, 196, 154, 210, 165, 221, 167, 223, 160, 216, 148, 204, 134, 190, 147, 203, 159, 215, 166, 222, 162, 218, 150, 206, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 145, 201, 157, 213, 143, 199, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 142, 198, 156, 212, 164, 220, 153, 209, 139, 195, 126, 182, 138, 194, 152, 208, 163, 219, 168, 224, 161, 217, 149, 205, 135, 191, 123, 179, 133, 189, 146, 202, 158, 214, 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, 162)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 151)(46, 166)(47, 152)(48, 153)(49, 167)(50, 168)(51, 154)(52, 155)(53, 156)(54, 163)(55, 164)(56, 165)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1426
Graph:: bipartite
	v = 9 e = 112 f = 57
	degree seq :: [ 14^8, 112 ]

E24.1419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y3)^2, Y3 * Y2^-2 * Y1 * Y2^2, Y1^7, Y1^-1 * Y2^-6 * Y3 * Y2^-2, Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1 * Y2^-1 * Y3^-2 * Y2^-4, Y3^14, 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 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 ]
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, 49, 105, 34, 90, 20, 76)(13, 69, 18, 74, 29, 85, 41, 97, 50, 106, 37, 93, 24, 80)(19, 75, 30, 86, 42, 98, 51, 107, 56, 112, 48, 104, 33, 89)(25, 81, 31, 87, 43, 99, 52, 108, 54, 110, 46, 102, 38, 94)(32, 88, 44, 100, 39, 95, 45, 101, 53, 109, 55, 111, 47, 103)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 158, 214, 149, 205, 135, 191, 123, 179, 133, 189, 146, 202, 160, 216, 167, 223, 164, 220, 153, 209, 139, 195, 126, 182, 138, 194, 152, 208, 163, 219, 157, 213, 143, 199, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 142, 198, 156, 212, 150, 206, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 145, 201, 159, 215, 166, 222, 162, 218, 148, 204, 134, 190, 147, 203, 161, 217, 168, 224, 165, 221, 155, 211, 141, 197, 128, 184, 118, 174, 127, 183, 140, 196, 154, 210, 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, 159)(33, 160)(34, 161)(35, 138)(36, 139)(37, 162)(38, 158)(39, 156)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 151)(46, 166)(47, 167)(48, 168)(49, 152)(50, 153)(51, 154)(52, 155)(53, 157)(54, 164)(55, 165)(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) :: { ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 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 E24.1424
Graph:: bipartite
	v = 9 e = 112 f = 57
	degree seq :: [ 14^8, 112 ]

E24.1420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 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 * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-3, Y2^-1 * Y1^-1 * Y2^-8, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 20, 76, 9, 65, 17, 73, 29, 85, 40, 96, 49, 105, 46, 102, 33, 89, 43, 99, 51, 107, 56, 112, 54, 110, 48, 104, 37, 93, 25, 81, 32, 88, 42, 98, 35, 91, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 39, 95, 34, 90, 19, 75, 31, 87, 41, 97, 50, 106, 55, 111, 53, 109, 45, 101, 38, 94, 44, 100, 52, 108, 47, 103, 36, 92, 24, 80, 13, 69, 18, 74, 30, 86, 22, 78, 11, 67, 4, 60)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 157, 213, 149, 205, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 158, 214, 165, 221, 160, 216, 148, 204, 135, 191, 123, 179, 133, 189, 138, 194, 151, 207, 161, 217, 167, 223, 166, 222, 159, 215, 147, 203, 134, 190, 140, 196, 126, 182, 139, 195, 152, 208, 162, 218, 168, 224, 164, 220, 154, 210, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 153, 209, 163, 219, 156, 212, 144, 200, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 155, 211, 150, 206, 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, 145)(20, 146)(21, 138)(22, 140)(23, 123)(24, 124)(25, 125)(26, 151)(27, 152)(28, 126)(29, 153)(30, 128)(31, 155)(32, 130)(33, 157)(34, 158)(35, 134)(36, 135)(37, 136)(38, 137)(39, 161)(40, 162)(41, 163)(42, 142)(43, 150)(44, 144)(45, 149)(46, 165)(47, 147)(48, 148)(49, 167)(50, 168)(51, 156)(52, 154)(53, 160)(54, 159)(55, 166)(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, 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 E24.1422
Graph:: bipartite
	v = 2 e = 112 f = 64
	degree seq :: [ 112^2 ]

E24.1421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 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^-1, Y1), Y2^-2 * Y1 * Y2^-1 * Y1^2 * Y2^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-8, (Y3^-1 * Y1^-1)^7, (Y2^3 * Y1)^4 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 38, 94, 48, 104, 46, 102, 36, 92, 24, 80, 13, 69, 18, 74, 30, 86, 19, 75, 31, 87, 42, 98, 52, 108, 56, 112, 53, 109, 43, 99, 33, 89, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 39, 95, 49, 105, 45, 101, 35, 91, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 40, 96, 50, 106, 55, 111, 54, 110, 47, 103, 37, 93, 25, 81, 32, 88, 20, 76, 9, 65, 17, 73, 29, 85, 41, 97, 51, 107, 44, 100, 34, 90, 22, 78, 11, 67, 4, 60)(113, 169, 115, 171, 121, 177, 131, 187, 140, 196, 126, 182, 139, 195, 153, 209, 164, 220, 167, 223, 160, 216, 157, 213, 146, 202, 155, 211, 149, 205, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 154, 210, 162, 218, 150, 206, 161, 217, 156, 212, 165, 221, 159, 215, 148, 204, 135, 191, 123, 179, 133, 189, 144, 200, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 152, 208, 138, 194, 151, 207, 163, 219, 168, 224, 166, 222, 158, 214, 147, 203, 134, 190, 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, 140)(20, 142)(21, 144)(22, 145)(23, 123)(24, 124)(25, 125)(26, 151)(27, 153)(28, 126)(29, 154)(30, 128)(31, 152)(32, 130)(33, 137)(34, 155)(35, 134)(36, 135)(37, 136)(38, 161)(39, 163)(40, 138)(41, 164)(42, 162)(43, 149)(44, 165)(45, 146)(46, 147)(47, 148)(48, 157)(49, 156)(50, 150)(51, 168)(52, 167)(53, 159)(54, 158)(55, 160)(56, 166)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 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 E24.1423
Graph:: bipartite
	v = 2 e = 112 f = 64
	degree seq :: [ 112^2 ]

E24.1422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^7, Y2 * Y3^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-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, 159, 215, 146, 202, 132, 188)(125, 181, 130, 186, 141, 197, 153, 209, 160, 216, 149, 205, 136, 192)(131, 187, 142, 198, 154, 210, 162, 218, 166, 222, 158, 214, 145, 201)(137, 193, 143, 199, 155, 211, 163, 219, 167, 223, 161, 217, 150, 206)(144, 200, 151, 207, 156, 212, 164, 220, 168, 224, 165, 221, 157, 213)
	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, 151)(31, 130)(32, 150)(33, 157)(34, 158)(35, 159)(36, 134)(37, 135)(38, 136)(39, 137)(40, 162)(41, 139)(42, 156)(43, 141)(44, 143)(45, 161)(46, 165)(47, 166)(48, 148)(49, 149)(50, 164)(51, 153)(52, 155)(53, 167)(54, 168)(55, 160)(56, 163)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 112, 112 ), ( 112^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1420
Graph:: simple bipartite
	v = 64 e = 112 f = 2
	degree seq :: [ 2^56, 14^8 ]

E24.1423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y3^-1), Y2^7, Y2^7, Y2^3 * Y3^-8, (Y2^-1 * Y3)^56, (Y3^-1 * Y1^-1)^56 ]
Map::
	R = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(113, 169, 114, 170, 118, 174, 126, 182, 134, 190, 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, 161, 217, 146, 202, 132, 188)(125, 181, 130, 186, 141, 197, 153, 209, 162, 218, 149, 205, 136, 192)(131, 187, 142, 198, 154, 210, 166, 222, 165, 221, 160, 216, 145, 201)(137, 193, 143, 199, 155, 211, 158, 214, 168, 224, 163, 219, 150, 206)(144, 200, 156, 212, 167, 223, 164, 220, 151, 207, 157, 213, 159, 215)
	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, 158)(33, 159)(34, 160)(35, 161)(36, 134)(37, 135)(38, 136)(39, 137)(40, 166)(41, 139)(42, 167)(43, 141)(44, 168)(45, 143)(46, 153)(47, 155)(48, 157)(49, 165)(50, 148)(51, 149)(52, 150)(53, 151)(54, 164)(55, 163)(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) :: { ( 112, 112 ), ( 112^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1421
Graph:: simple bipartite
	v = 64 e = 112 f = 2
	degree seq :: [ 2^56, 14^8 ]

E24.1424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y1^8 * Y3^-1, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 35, 91, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 40, 96, 46, 102, 34, 90, 20, 76, 9, 65, 17, 73, 29, 85, 41, 97, 50, 106, 53, 109, 45, 101, 33, 89, 19, 75, 31, 87, 43, 99, 51, 107, 56, 112, 55, 111, 49, 105, 39, 95, 25, 81, 32, 88, 44, 100, 52, 108, 54, 110, 48, 104, 38, 94, 24, 80, 13, 69, 18, 74, 30, 86, 42, 98, 47, 103, 37, 93, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 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, 152)(27, 153)(28, 126)(29, 155)(30, 128)(31, 144)(32, 130)(33, 151)(34, 157)(35, 158)(36, 138)(37, 134)(38, 135)(39, 136)(40, 162)(41, 163)(42, 140)(43, 156)(44, 142)(45, 161)(46, 165)(47, 148)(48, 149)(49, 150)(50, 168)(51, 164)(52, 154)(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) :: { ( 14, 112 ), ( 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1419
Graph:: bipartite
	v = 57 e = 112 f = 9
	degree seq :: [ 2^56, 112 ]

E24.1425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-7, Y3^7, Y1^8 * Y3^-3, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 40, 96, 47, 103, 33, 89, 19, 75, 31, 87, 45, 101, 56, 112, 51, 107, 37, 93, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 48, 104, 34, 90, 20, 76, 9, 65, 17, 73, 29, 85, 43, 99, 55, 111, 52, 108, 38, 94, 24, 80, 13, 69, 18, 74, 30, 86, 44, 100, 49, 105, 35, 91, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 41, 97, 54, 110, 53, 109, 39, 95, 25, 81, 32, 88, 46, 102, 50, 106, 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, 153)(27, 155)(28, 126)(29, 157)(30, 128)(31, 144)(32, 130)(33, 151)(34, 159)(35, 160)(36, 161)(37, 134)(38, 135)(39, 136)(40, 166)(41, 167)(42, 138)(43, 168)(44, 140)(45, 158)(46, 142)(47, 165)(48, 152)(49, 154)(50, 156)(51, 148)(52, 149)(53, 150)(54, 164)(55, 163)(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, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1416
Graph:: bipartite
	v = 57 e = 112 f = 9
	degree seq :: [ 2^56, 112 ]

E24.1426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3^2 * Y1 * Y3 * Y1^4, Y3^2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-5, (Y3 * Y2^-1)^7, Y1^-1 * Y3^-4 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-2, Y3^-2 * Y1^4 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 40, 96, 53, 109, 39, 95, 25, 81, 32, 88, 46, 102, 56, 112, 49, 105, 35, 91, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 41, 97, 52, 108, 38, 94, 24, 80, 13, 69, 18, 74, 30, 86, 44, 100, 55, 111, 48, 104, 34, 90, 20, 76, 9, 65, 17, 73, 29, 85, 43, 99, 51, 107, 37, 93, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 54, 110, 47, 103, 33, 89, 19, 75, 31, 87, 45, 101, 50, 106, 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, 153)(27, 155)(28, 126)(29, 157)(30, 128)(31, 144)(32, 130)(33, 151)(34, 159)(35, 160)(36, 161)(37, 134)(38, 135)(39, 136)(40, 164)(41, 163)(42, 138)(43, 162)(44, 140)(45, 158)(46, 142)(47, 165)(48, 166)(49, 167)(50, 168)(51, 148)(52, 149)(53, 150)(54, 152)(55, 154)(56, 156)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 14, 112 ), ( 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1418
Graph:: bipartite
	v = 57 e = 112 f = 9
	degree seq :: [ 2^56, 112 ]

E24.1427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-7, Y3^-7, Y3^-2 * Y1^-8, Y3^14, (Y3 * Y2^-1)^7, 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 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^4 * Y3^-3 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 40, 96, 38, 94, 24, 80, 13, 69, 18, 74, 30, 86, 44, 100, 52, 108, 55, 111, 47, 103, 33, 89, 19, 75, 31, 87, 45, 101, 53, 109, 49, 105, 35, 91, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 41, 97, 37, 93, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 51, 107, 50, 106, 39, 95, 25, 81, 32, 88, 46, 102, 54, 110, 56, 112, 48, 104, 34, 90, 20, 76, 9, 65, 17, 73, 29, 85, 43, 99, 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, 153)(27, 155)(28, 126)(29, 157)(30, 128)(31, 144)(32, 130)(33, 151)(34, 159)(35, 160)(36, 161)(37, 134)(38, 135)(39, 136)(40, 149)(41, 148)(42, 138)(43, 165)(44, 140)(45, 158)(46, 142)(47, 162)(48, 167)(49, 168)(50, 150)(51, 152)(52, 154)(53, 166)(54, 156)(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) :: { ( 14, 112 ), ( 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1415
Graph:: bipartite
	v = 57 e = 112 f = 9
	degree seq :: [ 2^56, 112 ]

E24.1428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^7, Y3^7, Y3^2 * Y1^-8, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 40, 96, 34, 90, 20, 76, 9, 65, 17, 73, 29, 85, 43, 99, 52, 108, 56, 112, 50, 106, 39, 95, 25, 81, 32, 88, 46, 102, 54, 110, 48, 104, 37, 93, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 35, 91, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 41, 97, 51, 107, 47, 103, 33, 89, 19, 75, 31, 87, 45, 101, 53, 109, 55, 111, 49, 105, 38, 94, 24, 80, 13, 69, 18, 74, 30, 86, 44, 100, 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, 153)(27, 155)(28, 126)(29, 157)(30, 128)(31, 144)(32, 130)(33, 151)(34, 159)(35, 152)(36, 154)(37, 134)(38, 135)(39, 136)(40, 163)(41, 164)(42, 138)(43, 165)(44, 140)(45, 158)(46, 142)(47, 162)(48, 148)(49, 149)(50, 150)(51, 168)(52, 167)(53, 166)(54, 156)(55, 160)(56, 161)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 14, 112 ), ( 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1417
Graph:: bipartite
	v = 57 e = 112 f = 9
	degree seq :: [ 2^56, 112 ]

E24.1429 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = S5 (small group id <120, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y3)^2, (Y2^-1 * Y1)^2, (Y3 * Y1^-1)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, (Y1 * Y2^-1)^2, (R * Y3)^2, Y1^5, Y2^5, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y2 * Y1)^3, Y3 * Y2 * Y1 * Y2^-2 * Y1^2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 4, 64)(2, 62, 9, 69)(3, 63, 13, 73)(5, 65, 14, 74)(6, 66, 15, 75)(7, 67, 22, 82)(8, 68, 26, 86)(10, 70, 27, 87)(11, 71, 32, 92)(12, 72, 35, 95)(16, 76, 38, 98)(17, 77, 36, 96)(18, 78, 37, 97)(19, 79, 39, 99)(20, 80, 40, 100)(21, 81, 51, 111)(23, 83, 33, 93)(24, 84, 53, 113)(25, 85, 56, 116)(28, 88, 42, 102)(29, 89, 41, 101)(30, 90, 59, 119)(31, 91, 50, 110)(34, 94, 52, 112)(43, 103, 46, 106)(44, 104, 54, 114)(45, 105, 49, 109)(47, 107, 57, 117)(48, 108, 60, 120)(55, 115, 58, 118)(121, 122, 127, 137, 125)(123, 131, 150, 148, 130)(124, 134, 156, 142, 129)(126, 136, 161, 167, 139)(128, 144, 172, 155, 143)(132, 154, 173, 146, 153)(133, 147, 162, 179, 152)(135, 159, 177, 149, 158)(138, 163, 160, 180, 151)(140, 166, 157, 170, 168)(141, 169, 178, 176, 164)(145, 175, 165, 171, 174)(181, 183, 192, 200, 186)(182, 188, 205, 209, 190)(184, 195, 220, 215, 193)(185, 196, 222, 225, 198)(187, 201, 230, 212, 203)(189, 207, 221, 236, 206)(191, 211, 231, 202, 213)(194, 217, 229, 208, 218)(197, 223, 219, 233, 224)(199, 226, 216, 234, 204)(210, 238, 227, 232, 240)(214, 237, 235, 239, 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) :: { ( 12^4 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E24.1435
Graph:: simple bipartite
	v = 54 e = 120 f = 20
	degree seq :: [ 4^30, 5^24 ]

E24.1430 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y1^5, Y2^5, (Y1 * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^2 * Y1^-1)^2, (Y2^-1 * Y1)^3, Y2^-2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 4, 64)(2, 62, 9, 69)(3, 63, 13, 73)(5, 65, 16, 76)(6, 66, 15, 75)(7, 67, 24, 84)(8, 68, 28, 88)(10, 70, 30, 90)(11, 71, 36, 96)(12, 72, 38, 98)(14, 74, 39, 99)(17, 77, 42, 102)(18, 78, 43, 103)(19, 79, 35, 95)(20, 80, 40, 100)(21, 81, 26, 86)(22, 82, 41, 101)(23, 83, 51, 111)(25, 85, 53, 113)(27, 87, 49, 109)(29, 89, 56, 116)(31, 91, 57, 117)(32, 92, 52, 112)(33, 93, 58, 118)(34, 94, 50, 110)(37, 97, 47, 107)(44, 104, 55, 115)(45, 105, 54, 114)(46, 106, 59, 119)(48, 108, 60, 120)(121, 122, 127, 138, 125)(123, 131, 154, 145, 134)(124, 133, 158, 161, 135)(126, 140, 166, 170, 141)(128, 146, 175, 167, 149)(129, 148, 169, 178, 150)(130, 151, 137, 164, 152)(132, 157, 163, 179, 153)(136, 162, 174, 147, 155)(139, 168, 143, 172, 156)(142, 165, 173, 144, 171)(159, 177, 160, 180, 176)(181, 183, 192, 202, 186)(182, 188, 207, 213, 190)(184, 189, 204, 223, 196)(185, 197, 225, 229, 199)(187, 203, 221, 234, 205)(191, 215, 240, 231, 212)(193, 216, 230, 233, 219)(194, 211, 200, 228, 209)(195, 220, 239, 214, 206)(198, 226, 238, 218, 227)(201, 224, 217, 236, 208)(210, 237, 222, 235, 232)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12^4 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E24.1436
Graph:: simple bipartite
	v = 54 e = 120 f = 20
	degree seq :: [ 4^30, 5^24 ]

E24.1431 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 5, 5})
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 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y2^-1)^2, Y2^5, Y2 * Y1^-2 * Y2 * Y3^-1, Y1^5, Y1 * Y3^-1 * Y1 * Y2^-2, (Y1 * Y2)^3, Y3^-1 * Y2^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1, Y2^2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 4, 64, 7, 67)(2, 62, 10, 70, 12, 72)(3, 63, 15, 75, 16, 76)(5, 65, 22, 82, 17, 77)(6, 66, 25, 85, 18, 78)(8, 68, 31, 91, 32, 92)(9, 69, 35, 95, 36, 96)(11, 71, 21, 81, 37, 97)(13, 73, 39, 99, 42, 102)(14, 74, 38, 98, 44, 104)(19, 79, 49, 109, 28, 88)(20, 80, 51, 111, 29, 89)(23, 83, 53, 113, 48, 108)(24, 84, 30, 90, 47, 107)(26, 86, 43, 103, 46, 106)(27, 87, 56, 116, 45, 105)(33, 93, 58, 118, 50, 110)(34, 94, 60, 120, 55, 115)(40, 100, 59, 119, 54, 114)(41, 101, 57, 117, 52, 112)(121, 122, 128, 143, 125)(123, 133, 160, 140, 131)(124, 137, 165, 170, 139)(126, 141, 149, 175, 146)(127, 148, 177, 158, 130)(129, 153, 176, 159, 136)(132, 134, 163, 180, 151)(135, 157, 138, 167, 155)(142, 168, 179, 162, 147)(144, 145, 166, 164, 161)(150, 172, 169, 178, 156)(152, 154, 171, 174, 173)(181, 183, 194, 207, 186)(182, 189, 214, 199, 191)(184, 198, 228, 232, 200)(185, 201, 208, 234, 204)(187, 209, 238, 211, 195)(188, 210, 239, 218, 196)(190, 217, 197, 226, 219)(192, 193, 221, 233, 215)(202, 227, 212, 213, 206)(203, 205, 225, 240, 216)(220, 229, 235, 236, 224)(222, 223, 230, 231, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^5 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1433
Graph:: simple bipartite
	v = 44 e = 120 f = 30
	degree seq :: [ 5^24, 6^20 ]

E24.1432 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^5, Y1^5, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-2)^2, Y3^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3^-1, Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63, 5, 65)(2, 62, 7, 67, 8, 68)(4, 64, 11, 71, 13, 73)(6, 66, 16, 76, 17, 77)(9, 69, 23, 83, 24, 84)(10, 70, 20, 80, 26, 86)(12, 72, 29, 89, 22, 82)(14, 74, 32, 92, 28, 88)(15, 75, 33, 93, 34, 94)(18, 78, 36, 96, 37, 97)(19, 79, 35, 95, 38, 98)(21, 81, 40, 100, 41, 101)(25, 85, 44, 104, 31, 91)(27, 87, 46, 106, 47, 107)(30, 90, 48, 108, 39, 99)(42, 102, 53, 113, 56, 116)(43, 103, 57, 117, 50, 110)(45, 105, 58, 118, 51, 111)(49, 109, 59, 119, 52, 112)(54, 114, 60, 120, 55, 115)(121, 122, 126, 132, 124)(123, 129, 142, 145, 130)(125, 134, 151, 136, 135)(127, 138, 133, 150, 139)(128, 140, 159, 149, 141)(131, 147, 137, 155, 148)(143, 162, 146, 165, 161)(144, 153, 171, 164, 163)(152, 169, 154, 166, 170)(156, 172, 158, 174, 167)(157, 160, 175, 168, 173)(176, 177, 180, 178, 179)(181, 182, 186, 192, 184)(183, 189, 202, 205, 190)(185, 194, 211, 196, 195)(187, 198, 193, 210, 199)(188, 200, 219, 209, 201)(191, 207, 197, 215, 208)(203, 222, 206, 225, 221)(204, 213, 231, 224, 223)(212, 229, 214, 226, 230)(216, 232, 218, 234, 227)(217, 220, 235, 228, 233)(236, 237, 240, 238, 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) :: { ( 8^5 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1434
Graph:: simple bipartite
	v = 44 e = 120 f = 30
	degree seq :: [ 5^24, 6^20 ]

E24.1433 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = S5 (small group id <120, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y3)^2, (Y2^-1 * Y1)^2, (Y3 * Y1^-1)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, (Y1 * Y2^-1)^2, (R * Y3)^2, Y1^5, Y2^5, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y2 * Y1)^3, Y3 * Y2 * Y1 * Y2^-2 * Y1^2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 9, 69, 129, 189)(3, 63, 123, 183, 13, 73, 133, 193)(5, 65, 125, 185, 14, 74, 134, 194)(6, 66, 126, 186, 15, 75, 135, 195)(7, 67, 127, 187, 22, 82, 142, 202)(8, 68, 128, 188, 26, 86, 146, 206)(10, 70, 130, 190, 27, 87, 147, 207)(11, 71, 131, 191, 32, 92, 152, 212)(12, 72, 132, 192, 35, 95, 155, 215)(16, 76, 136, 196, 38, 98, 158, 218)(17, 77, 137, 197, 36, 96, 156, 216)(18, 78, 138, 198, 37, 97, 157, 217)(19, 79, 139, 199, 39, 99, 159, 219)(20, 80, 140, 200, 40, 100, 160, 220)(21, 81, 141, 201, 51, 111, 171, 231)(23, 83, 143, 203, 33, 93, 153, 213)(24, 84, 144, 204, 53, 113, 173, 233)(25, 85, 145, 205, 56, 116, 176, 236)(28, 88, 148, 208, 42, 102, 162, 222)(29, 89, 149, 209, 41, 101, 161, 221)(30, 90, 150, 210, 59, 119, 179, 239)(31, 91, 151, 211, 50, 110, 170, 230)(34, 94, 154, 214, 52, 112, 172, 232)(43, 103, 163, 223, 46, 106, 166, 226)(44, 104, 164, 224, 54, 114, 174, 234)(45, 105, 165, 225, 49, 109, 169, 229)(47, 107, 167, 227, 57, 117, 177, 237)(48, 108, 168, 228, 60, 120, 180, 240)(55, 115, 175, 235, 58, 118, 178, 238)
	L = (1, 62)(2, 67)(3, 71)(4, 74)(5, 61)(6, 76)(7, 77)(8, 84)(9, 64)(10, 63)(11, 90)(12, 94)(13, 87)(14, 96)(15, 99)(16, 101)(17, 65)(18, 103)(19, 66)(20, 106)(21, 109)(22, 69)(23, 68)(24, 112)(25, 115)(26, 93)(27, 102)(28, 70)(29, 98)(30, 88)(31, 78)(32, 73)(33, 72)(34, 113)(35, 83)(36, 82)(37, 110)(38, 75)(39, 117)(40, 120)(41, 107)(42, 119)(43, 100)(44, 81)(45, 111)(46, 97)(47, 79)(48, 80)(49, 118)(50, 108)(51, 114)(52, 95)(53, 86)(54, 85)(55, 105)(56, 104)(57, 89)(58, 116)(59, 92)(60, 91)(121, 183)(122, 188)(123, 192)(124, 195)(125, 196)(126, 181)(127, 201)(128, 205)(129, 207)(130, 182)(131, 211)(132, 200)(133, 184)(134, 217)(135, 220)(136, 222)(137, 223)(138, 185)(139, 226)(140, 186)(141, 230)(142, 213)(143, 187)(144, 199)(145, 209)(146, 189)(147, 221)(148, 218)(149, 190)(150, 238)(151, 231)(152, 203)(153, 191)(154, 237)(155, 193)(156, 234)(157, 229)(158, 194)(159, 233)(160, 215)(161, 236)(162, 225)(163, 219)(164, 197)(165, 198)(166, 216)(167, 232)(168, 214)(169, 208)(170, 212)(171, 202)(172, 240)(173, 224)(174, 204)(175, 239)(176, 206)(177, 235)(178, 227)(179, 228)(180, 210)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1431
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 44
	degree seq :: [ 8^30 ]

E24.1434 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y1^5, Y2^5, (Y1 * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^2 * Y1^-1)^2, (Y2^-1 * Y1)^3, Y2^-2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 9, 69, 129, 189)(3, 63, 123, 183, 13, 73, 133, 193)(5, 65, 125, 185, 16, 76, 136, 196)(6, 66, 126, 186, 15, 75, 135, 195)(7, 67, 127, 187, 24, 84, 144, 204)(8, 68, 128, 188, 28, 88, 148, 208)(10, 70, 130, 190, 30, 90, 150, 210)(11, 71, 131, 191, 36, 96, 156, 216)(12, 72, 132, 192, 38, 98, 158, 218)(14, 74, 134, 194, 39, 99, 159, 219)(17, 77, 137, 197, 42, 102, 162, 222)(18, 78, 138, 198, 43, 103, 163, 223)(19, 79, 139, 199, 35, 95, 155, 215)(20, 80, 140, 200, 40, 100, 160, 220)(21, 81, 141, 201, 26, 86, 146, 206)(22, 82, 142, 202, 41, 101, 161, 221)(23, 83, 143, 203, 51, 111, 171, 231)(25, 85, 145, 205, 53, 113, 173, 233)(27, 87, 147, 207, 49, 109, 169, 229)(29, 89, 149, 209, 56, 116, 176, 236)(31, 91, 151, 211, 57, 117, 177, 237)(32, 92, 152, 212, 52, 112, 172, 232)(33, 93, 153, 213, 58, 118, 178, 238)(34, 94, 154, 214, 50, 110, 170, 230)(37, 97, 157, 217, 47, 107, 167, 227)(44, 104, 164, 224, 55, 115, 175, 235)(45, 105, 165, 225, 54, 114, 174, 234)(46, 106, 166, 226, 59, 119, 179, 239)(48, 108, 168, 228, 60, 120, 180, 240)
	L = (1, 62)(2, 67)(3, 71)(4, 73)(5, 61)(6, 80)(7, 78)(8, 86)(9, 88)(10, 91)(11, 94)(12, 97)(13, 98)(14, 63)(15, 64)(16, 102)(17, 104)(18, 65)(19, 108)(20, 106)(21, 66)(22, 105)(23, 112)(24, 111)(25, 74)(26, 115)(27, 95)(28, 109)(29, 68)(30, 69)(31, 77)(32, 70)(33, 72)(34, 85)(35, 76)(36, 79)(37, 103)(38, 101)(39, 117)(40, 120)(41, 75)(42, 114)(43, 119)(44, 92)(45, 113)(46, 110)(47, 89)(48, 83)(49, 118)(50, 81)(51, 82)(52, 96)(53, 84)(54, 87)(55, 107)(56, 99)(57, 100)(58, 90)(59, 93)(60, 116)(121, 183)(122, 188)(123, 192)(124, 189)(125, 197)(126, 181)(127, 203)(128, 207)(129, 204)(130, 182)(131, 215)(132, 202)(133, 216)(134, 211)(135, 220)(136, 184)(137, 225)(138, 226)(139, 185)(140, 228)(141, 224)(142, 186)(143, 221)(144, 223)(145, 187)(146, 195)(147, 213)(148, 201)(149, 194)(150, 237)(151, 200)(152, 191)(153, 190)(154, 206)(155, 240)(156, 230)(157, 236)(158, 227)(159, 193)(160, 239)(161, 234)(162, 235)(163, 196)(164, 217)(165, 229)(166, 238)(167, 198)(168, 209)(169, 199)(170, 233)(171, 212)(172, 210)(173, 219)(174, 205)(175, 232)(176, 208)(177, 222)(178, 218)(179, 214)(180, 231)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1432
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 44
	degree seq :: [ 8^30 ]

E24.1435 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 5, 5})
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 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y2^-1)^2, Y2^5, Y2 * Y1^-2 * Y2 * Y3^-1, Y1^5, Y1 * Y3^-1 * Y1 * Y2^-2, (Y1 * Y2)^3, Y3^-1 * Y2^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1, Y2^2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184, 7, 67, 127, 187)(2, 62, 122, 182, 10, 70, 130, 190, 12, 72, 132, 192)(3, 63, 123, 183, 15, 75, 135, 195, 16, 76, 136, 196)(5, 65, 125, 185, 22, 82, 142, 202, 17, 77, 137, 197)(6, 66, 126, 186, 25, 85, 145, 205, 18, 78, 138, 198)(8, 68, 128, 188, 31, 91, 151, 211, 32, 92, 152, 212)(9, 69, 129, 189, 35, 95, 155, 215, 36, 96, 156, 216)(11, 71, 131, 191, 21, 81, 141, 201, 37, 97, 157, 217)(13, 73, 133, 193, 39, 99, 159, 219, 42, 102, 162, 222)(14, 74, 134, 194, 38, 98, 158, 218, 44, 104, 164, 224)(19, 79, 139, 199, 49, 109, 169, 229, 28, 88, 148, 208)(20, 80, 140, 200, 51, 111, 171, 231, 29, 89, 149, 209)(23, 83, 143, 203, 53, 113, 173, 233, 48, 108, 168, 228)(24, 84, 144, 204, 30, 90, 150, 210, 47, 107, 167, 227)(26, 86, 146, 206, 43, 103, 163, 223, 46, 106, 166, 226)(27, 87, 147, 207, 56, 116, 176, 236, 45, 105, 165, 225)(33, 93, 153, 213, 58, 118, 178, 238, 50, 110, 170, 230)(34, 94, 154, 214, 60, 120, 180, 240, 55, 115, 175, 235)(40, 100, 160, 220, 59, 119, 179, 239, 54, 114, 174, 234)(41, 101, 161, 221, 57, 117, 177, 237, 52, 112, 172, 232)
	L = (1, 62)(2, 68)(3, 73)(4, 77)(5, 61)(6, 81)(7, 88)(8, 83)(9, 93)(10, 67)(11, 63)(12, 74)(13, 100)(14, 103)(15, 97)(16, 69)(17, 105)(18, 107)(19, 64)(20, 71)(21, 89)(22, 108)(23, 65)(24, 85)(25, 106)(26, 66)(27, 82)(28, 117)(29, 115)(30, 112)(31, 72)(32, 94)(33, 116)(34, 111)(35, 75)(36, 90)(37, 78)(38, 70)(39, 76)(40, 80)(41, 84)(42, 87)(43, 120)(44, 101)(45, 110)(46, 104)(47, 95)(48, 119)(49, 118)(50, 79)(51, 114)(52, 109)(53, 92)(54, 113)(55, 86)(56, 99)(57, 98)(58, 96)(59, 102)(60, 91)(121, 183)(122, 189)(123, 194)(124, 198)(125, 201)(126, 181)(127, 209)(128, 210)(129, 214)(130, 217)(131, 182)(132, 193)(133, 221)(134, 207)(135, 187)(136, 188)(137, 226)(138, 228)(139, 191)(140, 184)(141, 208)(142, 227)(143, 205)(144, 185)(145, 225)(146, 202)(147, 186)(148, 234)(149, 238)(150, 239)(151, 195)(152, 213)(153, 206)(154, 199)(155, 192)(156, 203)(157, 197)(158, 196)(159, 190)(160, 229)(161, 233)(162, 223)(163, 230)(164, 220)(165, 240)(166, 219)(167, 212)(168, 232)(169, 235)(170, 231)(171, 237)(172, 200)(173, 215)(174, 204)(175, 236)(176, 224)(177, 222)(178, 211)(179, 218)(180, 216)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E24.1429
Transitivity :: VT+
Graph::
	v = 20 e = 120 f = 54
	degree seq :: [ 12^20 ]

E24.1436 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^5, Y1^5, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-2)^2, Y3^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3^-1, Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 3, 63, 123, 183, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 8, 68, 128, 188)(4, 64, 124, 184, 11, 71, 131, 191, 13, 73, 133, 193)(6, 66, 126, 186, 16, 76, 136, 196, 17, 77, 137, 197)(9, 69, 129, 189, 23, 83, 143, 203, 24, 84, 144, 204)(10, 70, 130, 190, 20, 80, 140, 200, 26, 86, 146, 206)(12, 72, 132, 192, 29, 89, 149, 209, 22, 82, 142, 202)(14, 74, 134, 194, 32, 92, 152, 212, 28, 88, 148, 208)(15, 75, 135, 195, 33, 93, 153, 213, 34, 94, 154, 214)(18, 78, 138, 198, 36, 96, 156, 216, 37, 97, 157, 217)(19, 79, 139, 199, 35, 95, 155, 215, 38, 98, 158, 218)(21, 81, 141, 201, 40, 100, 160, 220, 41, 101, 161, 221)(25, 85, 145, 205, 44, 104, 164, 224, 31, 91, 151, 211)(27, 87, 147, 207, 46, 106, 166, 226, 47, 107, 167, 227)(30, 90, 150, 210, 48, 108, 168, 228, 39, 99, 159, 219)(42, 102, 162, 222, 53, 113, 173, 233, 56, 116, 176, 236)(43, 103, 163, 223, 57, 117, 177, 237, 50, 110, 170, 230)(45, 105, 165, 225, 58, 118, 178, 238, 51, 111, 171, 231)(49, 109, 169, 229, 59, 119, 179, 239, 52, 112, 172, 232)(54, 114, 174, 234, 60, 120, 180, 240, 55, 115, 175, 235)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 74)(6, 72)(7, 78)(8, 80)(9, 82)(10, 63)(11, 87)(12, 64)(13, 90)(14, 91)(15, 65)(16, 75)(17, 95)(18, 73)(19, 67)(20, 99)(21, 68)(22, 85)(23, 102)(24, 93)(25, 70)(26, 105)(27, 77)(28, 71)(29, 81)(30, 79)(31, 76)(32, 109)(33, 111)(34, 106)(35, 88)(36, 112)(37, 100)(38, 114)(39, 89)(40, 115)(41, 83)(42, 86)(43, 84)(44, 103)(45, 101)(46, 110)(47, 96)(48, 113)(49, 94)(50, 92)(51, 104)(52, 98)(53, 97)(54, 107)(55, 108)(56, 117)(57, 120)(58, 119)(59, 116)(60, 118)(121, 182)(122, 186)(123, 189)(124, 181)(125, 194)(126, 192)(127, 198)(128, 200)(129, 202)(130, 183)(131, 207)(132, 184)(133, 210)(134, 211)(135, 185)(136, 195)(137, 215)(138, 193)(139, 187)(140, 219)(141, 188)(142, 205)(143, 222)(144, 213)(145, 190)(146, 225)(147, 197)(148, 191)(149, 201)(150, 199)(151, 196)(152, 229)(153, 231)(154, 226)(155, 208)(156, 232)(157, 220)(158, 234)(159, 209)(160, 235)(161, 203)(162, 206)(163, 204)(164, 223)(165, 221)(166, 230)(167, 216)(168, 233)(169, 214)(170, 212)(171, 224)(172, 218)(173, 217)(174, 227)(175, 228)(176, 237)(177, 240)(178, 239)(179, 236)(180, 238)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E24.1430
Transitivity :: VT+
Graph::
	v = 20 e = 120 f = 54
	degree seq :: [ 12^20 ]

E24.1437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2, Y1 * Y2 * R * Y2^-1 * R, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1, (Y2 * Y1)^3, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 14, 74)(5, 65, 17, 77)(6, 66, 20, 80)(7, 67, 23, 83)(8, 68, 25, 85)(9, 69, 27, 87)(10, 70, 30, 90)(12, 72, 36, 96)(13, 73, 22, 82)(15, 75, 40, 100)(16, 76, 42, 102)(18, 78, 31, 91)(19, 79, 38, 98)(21, 81, 28, 88)(24, 84, 32, 92)(26, 86, 51, 111)(29, 89, 50, 110)(33, 93, 54, 114)(34, 94, 43, 103)(35, 95, 56, 116)(37, 97, 53, 113)(39, 99, 52, 112)(41, 101, 46, 106)(44, 104, 49, 109)(45, 105, 47, 107)(48, 108, 60, 120)(55, 115, 58, 118)(57, 117, 59, 119)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 135, 195, 136, 196)(126, 186, 141, 201, 142, 202)(128, 188, 146, 206, 132, 192)(130, 190, 151, 211, 152, 212)(131, 191, 147, 207, 154, 214)(133, 193, 157, 217, 158, 218)(134, 194, 159, 219, 155, 215)(137, 197, 163, 223, 143, 203)(138, 198, 153, 213, 164, 224)(139, 199, 165, 225, 140, 200)(144, 204, 169, 229, 170, 230)(145, 205, 166, 226, 168, 228)(148, 208, 167, 227, 173, 233)(149, 209, 174, 234, 150, 210)(156, 216, 177, 237, 161, 221)(160, 220, 176, 236, 175, 235)(162, 222, 178, 238, 172, 232)(171, 231, 180, 240, 179, 239)
	L = (1, 124)(2, 128)(3, 132)(4, 126)(5, 138)(6, 121)(7, 136)(8, 130)(9, 148)(10, 122)(11, 153)(12, 133)(13, 123)(14, 156)(15, 161)(16, 144)(17, 135)(18, 139)(19, 125)(20, 166)(21, 145)(22, 150)(23, 167)(24, 127)(25, 162)(26, 172)(27, 146)(28, 149)(29, 129)(30, 159)(31, 134)(32, 140)(33, 155)(34, 173)(35, 131)(36, 151)(37, 174)(38, 176)(39, 142)(40, 169)(41, 137)(42, 141)(43, 164)(44, 179)(45, 160)(46, 152)(47, 168)(48, 143)(49, 165)(50, 180)(51, 157)(52, 147)(53, 175)(54, 171)(55, 154)(56, 177)(57, 158)(58, 170)(59, 163)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1446
Graph:: simple bipartite
	v = 50 e = 120 f = 24
	degree seq :: [ 4^30, 6^20 ]

E24.1438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y2^5, Y2^2 * Y3^-3, Y1 * Y2 * Y1^-1 * Y3 * Y2^-2 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 8, 68, 7, 67)(4, 64, 10, 70, 12, 72)(6, 66, 14, 74, 13, 73)(9, 69, 19, 79, 18, 78)(11, 71, 21, 81, 22, 82)(15, 75, 27, 87, 26, 86)(16, 76, 17, 77, 28, 88)(20, 80, 32, 92, 23, 83)(24, 84, 25, 85, 36, 96)(29, 89, 41, 101, 40, 100)(30, 90, 31, 91, 42, 102)(33, 93, 45, 105, 34, 94)(35, 95, 44, 104, 46, 106)(37, 97, 48, 108, 47, 107)(38, 98, 39, 99, 49, 109)(43, 103, 53, 113, 52, 112)(50, 110, 51, 111, 57, 117)(54, 114, 56, 116, 55, 115)(58, 118, 59, 119, 60, 120)(121, 181, 123, 183, 129, 189, 131, 191, 124, 184)(122, 182, 126, 186, 135, 195, 136, 196, 127, 187)(125, 185, 130, 190, 140, 200, 144, 204, 133, 193)(128, 188, 137, 197, 149, 209, 150, 210, 138, 198)(132, 192, 141, 201, 153, 213, 155, 215, 143, 203)(134, 194, 145, 205, 157, 217, 158, 218, 146, 206)(139, 199, 151, 211, 163, 223, 154, 214, 142, 202)(147, 207, 159, 219, 170, 230, 160, 220, 148, 208)(152, 212, 164, 224, 174, 234, 167, 227, 156, 216)(161, 221, 171, 231, 178, 238, 172, 232, 162, 222)(165, 225, 173, 233, 179, 239, 175, 235, 166, 226)(168, 228, 176, 236, 180, 240, 177, 237, 169, 229)
	L = (1, 124)(2, 127)(3, 121)(4, 131)(5, 133)(6, 122)(7, 136)(8, 138)(9, 123)(10, 125)(11, 129)(12, 143)(13, 144)(14, 146)(15, 126)(16, 135)(17, 128)(18, 150)(19, 142)(20, 130)(21, 132)(22, 154)(23, 155)(24, 140)(25, 134)(26, 158)(27, 148)(28, 160)(29, 137)(30, 149)(31, 139)(32, 156)(33, 141)(34, 163)(35, 153)(36, 167)(37, 145)(38, 157)(39, 147)(40, 170)(41, 162)(42, 172)(43, 151)(44, 152)(45, 166)(46, 175)(47, 174)(48, 169)(49, 177)(50, 159)(51, 161)(52, 178)(53, 165)(54, 164)(55, 179)(56, 168)(57, 180)(58, 171)(59, 173)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1445
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 6^20, 10^12 ]

E24.1439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y3, Y1^3, (R * Y3^-1)^2, Y1 * Y3^-1 * Y1^-1 * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * R)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2, Y2^5, Y3^5, (Y3 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 9, 69, 7, 67)(4, 64, 14, 74, 16, 76)(6, 66, 10, 70, 8, 68)(11, 71, 21, 81, 13, 73)(12, 72, 22, 82, 20, 80)(15, 75, 34, 94, 29, 89)(17, 77, 33, 93, 32, 92)(18, 78, 24, 84, 23, 83)(19, 79, 26, 86, 25, 85)(27, 87, 31, 91, 30, 90)(28, 88, 40, 100, 39, 99)(35, 95, 52, 112, 51, 111)(36, 96, 50, 110, 49, 109)(37, 97, 42, 102, 41, 101)(38, 98, 44, 104, 43, 103)(45, 105, 48, 108, 47, 107)(46, 106, 53, 113, 56, 116)(54, 114, 55, 115, 57, 117)(58, 118, 59, 119, 60, 120)(121, 181, 123, 183, 131, 191, 139, 199, 126, 186)(122, 182, 128, 188, 143, 203, 137, 197, 124, 184)(125, 185, 136, 196, 149, 209, 132, 192, 129, 189)(127, 187, 140, 200, 159, 219, 147, 207, 141, 201)(130, 190, 145, 205, 163, 223, 157, 217, 138, 198)(133, 193, 150, 210, 167, 227, 158, 218, 146, 206)(134, 194, 152, 212, 169, 229, 155, 215, 135, 195)(142, 202, 154, 214, 171, 231, 166, 226, 148, 208)(144, 204, 161, 221, 174, 234, 156, 216, 153, 213)(151, 211, 160, 220, 176, 236, 178, 238, 165, 225)(162, 222, 164, 224, 168, 228, 180, 240, 175, 235)(170, 230, 177, 237, 179, 239, 173, 233, 172, 232)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 126)(6, 138)(7, 121)(8, 139)(9, 141)(10, 122)(11, 147)(12, 148)(13, 123)(14, 125)(15, 142)(16, 137)(17, 156)(18, 153)(19, 158)(20, 149)(21, 146)(22, 127)(23, 157)(24, 128)(25, 131)(26, 130)(27, 165)(28, 151)(29, 155)(30, 159)(31, 133)(32, 143)(33, 134)(34, 136)(35, 173)(36, 172)(37, 175)(38, 162)(39, 166)(40, 140)(41, 163)(42, 144)(43, 167)(44, 145)(45, 164)(46, 179)(47, 178)(48, 150)(49, 174)(50, 152)(51, 169)(52, 154)(53, 160)(54, 180)(55, 170)(56, 171)(57, 161)(58, 177)(59, 168)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1443
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 6^20, 10^12 ]

E24.1440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3, Y1^3, (Y1^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1, (Y2 * Y1^-1)^3, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 12, 72, 13, 73)(4, 64, 14, 74, 15, 75)(6, 66, 19, 79, 20, 80)(7, 67, 21, 81, 9, 69)(8, 68, 22, 82, 23, 83)(10, 70, 24, 84, 25, 85)(11, 71, 26, 86, 17, 77)(16, 76, 35, 95, 33, 93)(18, 78, 36, 96, 37, 97)(27, 87, 43, 103, 44, 104)(28, 88, 32, 92, 45, 105)(29, 89, 46, 106, 30, 90)(31, 91, 47, 107, 39, 99)(34, 94, 48, 108, 49, 109)(38, 98, 52, 112, 53, 113)(40, 100, 54, 114, 41, 101)(42, 102, 55, 115, 51, 111)(50, 110, 59, 119, 56, 116)(57, 117, 60, 120, 58, 118)(121, 181, 123, 183, 124, 184, 127, 187, 126, 186)(122, 182, 128, 188, 129, 189, 131, 191, 130, 190)(125, 185, 136, 196, 137, 197, 134, 194, 138, 198)(132, 192, 147, 207, 140, 200, 149, 209, 148, 208)(133, 193, 144, 204, 150, 210, 141, 201, 151, 211)(135, 195, 152, 212, 153, 213, 139, 199, 154, 214)(142, 202, 158, 218, 145, 205, 160, 220, 159, 219)(143, 203, 156, 216, 161, 221, 146, 206, 162, 222)(155, 215, 170, 230, 157, 217, 168, 228, 171, 231)(163, 223, 176, 236, 165, 225, 177, 237, 169, 229)(164, 224, 167, 227, 178, 238, 166, 226, 172, 232)(173, 233, 175, 235, 180, 240, 174, 234, 179, 239)
	L = (1, 124)(2, 129)(3, 127)(4, 126)(5, 137)(6, 123)(7, 121)(8, 131)(9, 130)(10, 128)(11, 122)(12, 140)(13, 150)(14, 125)(15, 153)(16, 134)(17, 138)(18, 136)(19, 135)(20, 148)(21, 133)(22, 145)(23, 161)(24, 141)(25, 159)(26, 143)(27, 149)(28, 147)(29, 132)(30, 151)(31, 144)(32, 139)(33, 154)(34, 152)(35, 157)(36, 146)(37, 171)(38, 160)(39, 158)(40, 142)(41, 162)(42, 156)(43, 165)(44, 178)(45, 169)(46, 164)(47, 166)(48, 155)(49, 176)(50, 168)(51, 170)(52, 167)(53, 180)(54, 173)(55, 174)(56, 177)(57, 163)(58, 172)(59, 175)(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, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1444
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 6^20, 10^12 ]

E24.1441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y3 * Y2^2, Y1^3, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1, (Y2^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 12, 72, 13, 73)(4, 64, 14, 74, 15, 75)(6, 66, 19, 79, 20, 80)(7, 67, 21, 81, 9, 69)(8, 68, 22, 82, 23, 83)(10, 70, 24, 84, 25, 85)(11, 71, 26, 86, 17, 77)(16, 76, 33, 93, 34, 94)(18, 78, 35, 95, 27, 87)(28, 88, 43, 103, 44, 104)(29, 89, 45, 105, 31, 91)(30, 90, 46, 106, 47, 107)(32, 92, 48, 108, 37, 97)(36, 96, 51, 111, 39, 99)(38, 98, 52, 112, 53, 113)(40, 100, 54, 114, 42, 102)(41, 101, 55, 115, 50, 110)(49, 109, 59, 119, 57, 117)(56, 116, 60, 120, 58, 118)(121, 181, 123, 183, 127, 187, 124, 184, 126, 186)(122, 182, 128, 188, 131, 191, 129, 189, 130, 190)(125, 185, 136, 196, 134, 194, 137, 197, 138, 198)(132, 192, 147, 207, 149, 209, 135, 195, 148, 208)(133, 193, 150, 210, 139, 199, 151, 211, 152, 212)(140, 200, 156, 216, 141, 201, 157, 217, 142, 202)(143, 203, 158, 218, 144, 204, 159, 219, 160, 220)(145, 205, 161, 221, 146, 206, 162, 222, 153, 213)(154, 214, 169, 229, 155, 215, 170, 230, 163, 223)(164, 224, 176, 236, 165, 225, 177, 237, 166, 226)(167, 227, 172, 232, 168, 228, 178, 238, 171, 231)(173, 233, 179, 239, 174, 234, 180, 240, 175, 235)
	L = (1, 124)(2, 129)(3, 126)(4, 123)(5, 137)(6, 127)(7, 121)(8, 130)(9, 128)(10, 131)(11, 122)(12, 135)(13, 151)(14, 125)(15, 147)(16, 138)(17, 136)(18, 134)(19, 133)(20, 157)(21, 140)(22, 141)(23, 159)(24, 143)(25, 162)(26, 145)(27, 148)(28, 149)(29, 132)(30, 152)(31, 150)(32, 139)(33, 146)(34, 170)(35, 154)(36, 142)(37, 156)(38, 160)(39, 158)(40, 144)(41, 153)(42, 161)(43, 155)(44, 177)(45, 164)(46, 165)(47, 178)(48, 167)(49, 163)(50, 169)(51, 168)(52, 171)(53, 180)(54, 173)(55, 174)(56, 166)(57, 176)(58, 172)(59, 175)(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, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1442
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 6^20, 10^12 ]

E24.1442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1, (R * Y1^-1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-1 * R * Y2 * R, (Y3 * Y2)^3, (Y1^-1 * Y2)^3, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65, 10, 70, 4, 64)(3, 63, 7, 67, 14, 74, 16, 76, 8, 68)(6, 66, 12, 72, 21, 81, 22, 82, 13, 73)(9, 69, 17, 77, 26, 86, 24, 84, 15, 75)(11, 71, 19, 79, 29, 89, 30, 90, 20, 80)(18, 78, 28, 88, 38, 98, 37, 97, 27, 87)(23, 83, 33, 93, 43, 103, 44, 104, 34, 94)(25, 85, 35, 95, 45, 105, 41, 101, 31, 91)(32, 92, 42, 102, 51, 111, 49, 109, 39, 99)(36, 96, 46, 106, 54, 114, 55, 115, 47, 107)(40, 100, 50, 110, 57, 117, 56, 116, 48, 108)(52, 112, 59, 119, 60, 120, 58, 118, 53, 113)(121, 181, 123, 183)(122, 182, 126, 186)(124, 184, 129, 189)(125, 185, 131, 191)(127, 187, 135, 195)(128, 188, 132, 192)(130, 190, 138, 198)(133, 193, 139, 199)(134, 194, 143, 203)(136, 196, 145, 205)(137, 197, 147, 207)(140, 200, 148, 208)(141, 201, 151, 211)(142, 202, 152, 212)(144, 204, 153, 213)(146, 206, 156, 216)(149, 209, 159, 219)(150, 210, 160, 220)(154, 214, 155, 215)(157, 217, 166, 226)(158, 218, 168, 228)(161, 221, 162, 222)(163, 223, 167, 227)(164, 224, 172, 232)(165, 225, 173, 233)(169, 229, 170, 230)(171, 231, 178, 238)(174, 234, 176, 236)(175, 235, 179, 239)(177, 237, 180, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 130)(6, 132)(7, 134)(8, 123)(9, 137)(10, 124)(11, 139)(12, 141)(13, 126)(14, 136)(15, 129)(16, 128)(17, 146)(18, 148)(19, 149)(20, 131)(21, 142)(22, 133)(23, 153)(24, 135)(25, 155)(26, 144)(27, 138)(28, 158)(29, 150)(30, 140)(31, 145)(32, 162)(33, 163)(34, 143)(35, 165)(36, 166)(37, 147)(38, 157)(39, 152)(40, 170)(41, 151)(42, 171)(43, 164)(44, 154)(45, 161)(46, 174)(47, 156)(48, 160)(49, 159)(50, 177)(51, 169)(52, 179)(53, 172)(54, 175)(55, 167)(56, 168)(57, 176)(58, 173)(59, 180)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1441
Graph:: bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3, R * Y2 * R * Y1^-1 * Y2, Y2 * Y3 * Y1 * Y3^2, Y3^5, Y1^5, (Y3 * Y1^-1)^3, (Y1 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 5, 65)(3, 63, 11, 71, 36, 96, 25, 85, 8, 68)(4, 64, 14, 74, 40, 100, 27, 87, 17, 77)(6, 66, 21, 81, 46, 106, 51, 111, 23, 83)(9, 69, 30, 90, 58, 118, 47, 107, 31, 91)(10, 70, 32, 92, 18, 78, 43, 103, 34, 94)(12, 72, 24, 84, 45, 105, 60, 120, 38, 98)(13, 73, 39, 99, 52, 112, 50, 110, 22, 82)(15, 75, 42, 102, 55, 115, 53, 113, 41, 101)(16, 76, 37, 97, 56, 116, 28, 88, 35, 95)(20, 80, 48, 108, 26, 86, 54, 114, 49, 109)(29, 89, 57, 117, 44, 104, 59, 119, 33, 93)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 135, 195)(125, 185, 131, 191)(126, 186, 142, 202)(127, 187, 145, 205)(129, 189, 132, 192)(130, 190, 153, 213)(133, 193, 143, 203)(134, 194, 161, 221)(136, 196, 140, 200)(137, 197, 162, 222)(138, 198, 164, 224)(139, 199, 156, 216)(141, 201, 170, 230)(144, 204, 151, 211)(146, 206, 148, 208)(147, 207, 175, 235)(149, 209, 154, 214)(150, 210, 158, 218)(152, 212, 179, 239)(155, 215, 168, 228)(157, 217, 169, 229)(159, 219, 171, 231)(160, 220, 173, 233)(163, 223, 177, 237)(165, 225, 167, 227)(166, 226, 172, 232)(174, 234, 176, 236)(178, 238, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 136)(5, 138)(6, 121)(7, 146)(8, 148)(9, 142)(10, 122)(11, 135)(12, 154)(13, 123)(14, 133)(15, 143)(16, 144)(17, 152)(18, 165)(19, 166)(20, 125)(21, 168)(22, 155)(23, 163)(24, 126)(25, 172)(26, 153)(27, 127)(28, 160)(29, 128)(30, 149)(31, 137)(32, 141)(33, 170)(34, 134)(35, 130)(36, 164)(37, 131)(38, 176)(39, 177)(40, 150)(41, 158)(42, 140)(43, 157)(44, 169)(45, 162)(46, 175)(47, 139)(48, 151)(49, 171)(50, 147)(51, 180)(52, 178)(53, 145)(54, 173)(55, 179)(56, 159)(57, 161)(58, 174)(59, 167)(60, 156)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1439
Graph:: simple bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-2, Y3 * Y1^2, (Y3^-1 * R)^2, (R * Y1)^2, Y1^-1 * R * Y3^-1 * R * Y3, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, (Y2 * Y1)^5, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 4, 64, 5, 65)(3, 63, 8, 68, 11, 71, 9, 69, 10, 70)(7, 67, 15, 75, 18, 78, 16, 76, 17, 77)(12, 72, 23, 83, 25, 85, 22, 82, 24, 84)(13, 73, 26, 86, 29, 89, 27, 87, 28, 88)(14, 74, 30, 90, 20, 80, 31, 91, 32, 92)(19, 79, 35, 95, 38, 98, 36, 96, 37, 97)(21, 81, 39, 99, 42, 102, 40, 100, 41, 101)(33, 93, 47, 107, 49, 109, 43, 103, 48, 108)(34, 94, 50, 110, 44, 104, 51, 111, 52, 112)(45, 105, 56, 116, 46, 106, 57, 117, 53, 113)(54, 114, 59, 119, 55, 115, 60, 120, 58, 118)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 132, 192)(125, 185, 133, 193)(126, 186, 134, 194)(128, 188, 139, 199)(129, 189, 140, 200)(130, 190, 141, 201)(131, 191, 142, 202)(135, 195, 153, 213)(136, 196, 145, 205)(137, 197, 154, 214)(138, 198, 147, 207)(143, 203, 162, 222)(144, 204, 163, 223)(146, 206, 164, 224)(148, 208, 165, 225)(149, 209, 151, 211)(150, 210, 166, 226)(152, 212, 156, 216)(155, 215, 173, 233)(157, 217, 174, 234)(158, 218, 160, 220)(159, 219, 175, 235)(161, 221, 167, 227)(168, 228, 178, 238)(169, 229, 171, 231)(170, 230, 179, 239)(172, 232, 177, 237)(176, 236, 180, 240)
	L = (1, 124)(2, 125)(3, 129)(4, 122)(5, 126)(6, 121)(7, 136)(8, 130)(9, 128)(10, 131)(11, 123)(12, 142)(13, 147)(14, 151)(15, 137)(16, 135)(17, 138)(18, 127)(19, 156)(20, 134)(21, 160)(22, 143)(23, 144)(24, 145)(25, 132)(26, 148)(27, 146)(28, 149)(29, 133)(30, 152)(31, 150)(32, 140)(33, 163)(34, 171)(35, 157)(36, 155)(37, 158)(38, 139)(39, 161)(40, 159)(41, 162)(42, 141)(43, 167)(44, 154)(45, 177)(46, 165)(47, 168)(48, 169)(49, 153)(50, 172)(51, 170)(52, 164)(53, 166)(54, 180)(55, 174)(56, 173)(57, 176)(58, 175)(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) :: { ( 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1440
Graph:: bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, Y2 * Y3 * Y2 * R * Y2 * Y1 * R, (Y2 * Y1^-1)^5, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 4, 64, 6, 66, 5, 65)(3, 63, 8, 68, 9, 69, 11, 71, 10, 70)(7, 67, 15, 75, 16, 76, 18, 78, 17, 77)(12, 72, 23, 83, 22, 82, 25, 85, 24, 84)(13, 73, 26, 86, 27, 87, 29, 89, 28, 88)(14, 74, 30, 90, 31, 91, 20, 80, 32, 92)(19, 79, 35, 95, 36, 96, 38, 98, 37, 97)(21, 81, 39, 99, 40, 100, 42, 102, 41, 101)(33, 93, 47, 107, 48, 108, 46, 106, 49, 109)(34, 94, 50, 110, 44, 104, 52, 112, 51, 111)(43, 103, 56, 116, 53, 113, 45, 105, 57, 117)(54, 114, 59, 119, 55, 115, 60, 120, 58, 118)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 132, 192)(125, 185, 133, 193)(126, 186, 134, 194)(128, 188, 139, 199)(129, 189, 140, 200)(130, 190, 141, 201)(131, 191, 142, 202)(135, 195, 153, 213)(136, 196, 149, 209)(137, 197, 154, 214)(138, 198, 151, 211)(143, 203, 163, 223)(144, 204, 158, 218)(145, 205, 147, 207)(146, 206, 164, 224)(148, 208, 165, 225)(150, 210, 160, 220)(152, 212, 166, 226)(155, 215, 173, 233)(156, 216, 162, 222)(157, 217, 174, 234)(159, 219, 175, 235)(161, 221, 167, 227)(168, 228, 172, 232)(169, 229, 178, 238)(170, 230, 179, 239)(171, 231, 176, 236)(177, 237, 180, 240)
	L = (1, 124)(2, 126)(3, 129)(4, 125)(5, 122)(6, 121)(7, 136)(8, 131)(9, 130)(10, 128)(11, 123)(12, 142)(13, 147)(14, 151)(15, 138)(16, 137)(17, 135)(18, 127)(19, 156)(20, 134)(21, 160)(22, 144)(23, 145)(24, 143)(25, 132)(26, 149)(27, 148)(28, 146)(29, 133)(30, 140)(31, 152)(32, 150)(33, 168)(34, 164)(35, 158)(36, 157)(37, 155)(38, 139)(39, 162)(40, 161)(41, 159)(42, 141)(43, 173)(44, 171)(45, 163)(46, 153)(47, 166)(48, 169)(49, 167)(50, 172)(51, 170)(52, 154)(53, 177)(54, 175)(55, 178)(56, 165)(57, 176)(58, 179)(59, 180)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1438
Graph:: bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^5, Y3 * Y2^-3 * Y1^-1, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 8, 68, 22, 82, 5, 65)(3, 63, 13, 73, 42, 102, 45, 105, 16, 76)(4, 64, 18, 78, 47, 107, 33, 93, 19, 79)(6, 66, 25, 85, 41, 101, 30, 90, 27, 87)(7, 67, 14, 74, 43, 103, 54, 114, 28, 88)(9, 69, 34, 94, 23, 83, 46, 106, 29, 89)(10, 70, 36, 96, 59, 119, 52, 112, 37, 97)(11, 71, 38, 98, 58, 118, 44, 104, 15, 75)(12, 72, 17, 77, 21, 81, 51, 111, 40, 100)(20, 80, 35, 95, 32, 92, 56, 116, 50, 110)(24, 84, 49, 109, 31, 91, 55, 115, 48, 108)(26, 86, 53, 113, 60, 120, 57, 117, 39, 99)(121, 181, 123, 183, 134, 194, 141, 201, 126, 186)(122, 182, 129, 189, 137, 197, 124, 184, 131, 191)(125, 185, 140, 200, 169, 229, 163, 223, 143, 203)(127, 187, 146, 206, 138, 198, 145, 205, 149, 209)(128, 188, 150, 210, 139, 199, 130, 190, 152, 212)(132, 192, 159, 219, 156, 216, 158, 218, 161, 221)(133, 193, 154, 214, 147, 207, 135, 195, 155, 215)(136, 196, 144, 204, 173, 233, 171, 231, 166, 226)(142, 202, 164, 224, 157, 217, 151, 211, 162, 222)(148, 208, 168, 228, 179, 239, 167, 227, 160, 220)(153, 213, 177, 237, 175, 235, 176, 236, 178, 238)(165, 225, 170, 230, 172, 232, 180, 240, 174, 234)
	L = (1, 124)(2, 130)(3, 135)(4, 127)(5, 141)(6, 146)(7, 121)(8, 151)(9, 155)(10, 132)(11, 159)(12, 122)(13, 157)(14, 140)(15, 137)(16, 126)(17, 123)(18, 168)(19, 129)(20, 147)(21, 144)(22, 163)(23, 173)(24, 125)(25, 156)(26, 136)(27, 134)(28, 145)(29, 131)(30, 133)(31, 153)(32, 177)(33, 128)(34, 169)(35, 139)(36, 148)(37, 150)(38, 175)(39, 149)(40, 158)(41, 152)(42, 180)(43, 172)(44, 154)(45, 171)(46, 138)(47, 176)(48, 166)(49, 164)(50, 143)(51, 179)(52, 142)(53, 170)(54, 167)(55, 160)(56, 174)(57, 161)(58, 162)(59, 165)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1437
Graph:: bipartite
	v = 24 e = 120 f = 50
	degree seq :: [ 10^24 ]

E24.1447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
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, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 6, 66)(4, 64, 11, 71)(5, 65, 13, 73)(7, 67, 17, 77)(8, 68, 19, 79)(9, 69, 21, 81)(10, 70, 23, 83)(12, 72, 18, 78)(14, 74, 20, 80)(15, 75, 29, 89)(16, 76, 31, 91)(22, 82, 30, 90)(24, 84, 32, 92)(25, 85, 41, 101)(26, 86, 43, 103)(27, 87, 42, 102)(28, 88, 44, 104)(33, 93, 49, 109)(34, 94, 51, 111)(35, 95, 50, 110)(36, 96, 52, 112)(37, 97, 53, 113)(38, 98, 55, 115)(39, 99, 54, 114)(40, 100, 56, 116)(45, 105, 57, 117)(46, 106, 59, 119)(47, 107, 58, 118)(48, 108, 60, 120)(121, 181, 123, 183)(122, 182, 126, 186)(124, 184, 129, 189)(125, 185, 130, 190)(127, 187, 135, 195)(128, 188, 136, 196)(131, 191, 141, 201)(132, 192, 142, 202)(133, 193, 143, 203)(134, 194, 144, 204)(137, 197, 149, 209)(138, 198, 150, 210)(139, 199, 151, 211)(140, 200, 152, 212)(145, 205, 157, 217)(146, 206, 158, 218)(147, 207, 159, 219)(148, 208, 160, 220)(153, 213, 165, 225)(154, 214, 166, 226)(155, 215, 167, 227)(156, 216, 168, 228)(161, 221, 173, 233)(162, 222, 174, 234)(163, 223, 175, 235)(164, 224, 176, 236)(169, 229, 177, 237)(170, 230, 178, 238)(171, 231, 179, 239)(172, 232, 180, 240)
	L = (1, 124)(2, 127)(3, 129)(4, 132)(5, 121)(6, 135)(7, 138)(8, 122)(9, 142)(10, 123)(11, 145)(12, 147)(13, 146)(14, 125)(15, 150)(16, 126)(17, 153)(18, 155)(19, 154)(20, 128)(21, 157)(22, 159)(23, 158)(24, 130)(25, 162)(26, 131)(27, 134)(28, 133)(29, 165)(30, 167)(31, 166)(32, 136)(33, 170)(34, 137)(35, 140)(36, 139)(37, 174)(38, 141)(39, 144)(40, 143)(41, 171)(42, 148)(43, 172)(44, 169)(45, 178)(46, 149)(47, 152)(48, 151)(49, 163)(50, 156)(51, 164)(52, 161)(53, 179)(54, 160)(55, 180)(56, 177)(57, 175)(58, 168)(59, 176)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1462
Graph:: simple bipartite
	v = 60 e = 120 f = 14
	degree seq :: [ 4^60 ]

E24.1448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
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, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^6, Y3^-5 * Y2^3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 10, 70)(5, 65, 9, 69)(6, 66, 8, 68)(11, 71, 19, 79)(12, 72, 21, 81)(13, 73, 20, 80)(14, 74, 26, 86)(15, 75, 25, 85)(16, 76, 24, 84)(17, 77, 23, 83)(18, 78, 22, 82)(27, 87, 38, 98)(28, 88, 40, 100)(29, 89, 39, 99)(30, 90, 42, 102)(31, 91, 41, 101)(32, 92, 48, 108)(33, 93, 47, 107)(34, 94, 46, 106)(35, 95, 45, 105)(36, 96, 44, 104)(37, 97, 43, 103)(49, 109, 56, 116)(50, 110, 55, 115)(51, 111, 58, 118)(52, 112, 57, 117)(53, 113, 60, 120)(54, 114, 59, 119)(121, 181, 123, 183, 131, 191, 147, 207, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 158, 218, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 169, 229, 154, 214, 135, 195)(126, 186, 133, 193, 149, 209, 170, 230, 155, 215, 137, 197)(128, 188, 140, 200, 159, 219, 175, 235, 165, 225, 143, 203)(130, 190, 141, 201, 160, 220, 176, 236, 166, 226, 145, 205)(134, 194, 150, 210, 171, 231, 157, 217, 174, 234, 153, 213)(138, 198, 151, 211, 172, 232, 152, 212, 173, 233, 156, 216)(142, 202, 161, 221, 177, 237, 168, 228, 180, 240, 164, 224)(146, 206, 162, 222, 178, 238, 163, 223, 179, 239, 167, 227)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 159)(20, 161)(21, 127)(22, 163)(23, 164)(24, 165)(25, 129)(26, 130)(27, 169)(28, 171)(29, 131)(30, 173)(31, 133)(32, 170)(33, 172)(34, 174)(35, 136)(36, 137)(37, 138)(38, 175)(39, 177)(40, 139)(41, 179)(42, 141)(43, 176)(44, 178)(45, 180)(46, 144)(47, 145)(48, 146)(49, 157)(50, 147)(51, 156)(52, 149)(53, 155)(54, 151)(55, 168)(56, 158)(57, 167)(58, 160)(59, 166)(60, 162)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1459
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
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, (Y3 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2^2 * Y3, (Y2^-1 * R * Y2^-1)^2, Y2^6, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 6, 66)(4, 64, 7, 67)(5, 65, 8, 68)(9, 69, 15, 75)(10, 70, 16, 76)(11, 71, 17, 77)(12, 72, 18, 78)(13, 73, 19, 79)(14, 74, 20, 80)(21, 81, 29, 89)(22, 82, 30, 90)(23, 83, 31, 91)(24, 84, 32, 92)(25, 85, 33, 93)(26, 86, 34, 94)(27, 87, 35, 95)(28, 88, 36, 96)(37, 97, 45, 105)(38, 98, 46, 106)(39, 99, 47, 107)(40, 100, 48, 108)(41, 101, 49, 109)(42, 102, 50, 110)(43, 103, 51, 111)(44, 104, 52, 112)(53, 113, 57, 117)(54, 114, 58, 118)(55, 115, 59, 119)(56, 116, 60, 120)(121, 181, 123, 183, 129, 189, 141, 201, 134, 194, 125, 185)(122, 182, 126, 186, 135, 195, 149, 209, 140, 200, 128, 188)(124, 184, 131, 191, 142, 202, 158, 218, 147, 207, 132, 192)(127, 187, 137, 197, 150, 210, 166, 226, 155, 215, 138, 198)(130, 190, 143, 203, 157, 217, 148, 208, 133, 193, 144, 204)(136, 196, 151, 211, 165, 225, 156, 216, 139, 199, 152, 212)(145, 205, 161, 221, 173, 233, 163, 223, 146, 206, 162, 222)(153, 213, 169, 229, 177, 237, 171, 231, 154, 214, 170, 230)(159, 219, 174, 234, 164, 224, 176, 236, 160, 220, 175, 235)(167, 227, 178, 238, 172, 232, 180, 240, 168, 228, 179, 239)
	L = (1, 124)(2, 127)(3, 130)(4, 121)(5, 133)(6, 136)(7, 122)(8, 139)(9, 142)(10, 123)(11, 145)(12, 146)(13, 125)(14, 147)(15, 150)(16, 126)(17, 153)(18, 154)(19, 128)(20, 155)(21, 157)(22, 129)(23, 159)(24, 160)(25, 131)(26, 132)(27, 134)(28, 164)(29, 165)(30, 135)(31, 167)(32, 168)(33, 137)(34, 138)(35, 140)(36, 172)(37, 141)(38, 173)(39, 143)(40, 144)(41, 176)(42, 174)(43, 175)(44, 148)(45, 149)(46, 177)(47, 151)(48, 152)(49, 180)(50, 178)(51, 179)(52, 156)(53, 158)(54, 162)(55, 163)(56, 161)(57, 166)(58, 170)(59, 171)(60, 169)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1458
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y3 * Y2^2 * Y3 * Y2^-2, Y2^6, (R * Y2 * Y3)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 8, 68)(4, 64, 7, 67)(5, 65, 6, 66)(9, 69, 20, 80)(10, 70, 19, 79)(11, 71, 18, 78)(12, 72, 17, 77)(13, 73, 16, 76)(14, 74, 15, 75)(21, 81, 29, 89)(22, 82, 35, 95)(23, 83, 36, 96)(24, 84, 32, 92)(25, 85, 34, 94)(26, 86, 33, 93)(27, 87, 30, 90)(28, 88, 31, 91)(37, 97, 45, 105)(38, 98, 46, 106)(39, 99, 52, 112)(40, 100, 48, 108)(41, 101, 51, 111)(42, 102, 50, 110)(43, 103, 49, 109)(44, 104, 47, 107)(53, 113, 57, 117)(54, 114, 58, 118)(55, 115, 60, 120)(56, 116, 59, 119)(121, 181, 123, 183, 129, 189, 141, 201, 134, 194, 125, 185)(122, 182, 126, 186, 135, 195, 149, 209, 140, 200, 128, 188)(124, 184, 131, 191, 142, 202, 158, 218, 147, 207, 132, 192)(127, 187, 137, 197, 150, 210, 166, 226, 155, 215, 138, 198)(130, 190, 143, 203, 157, 217, 148, 208, 133, 193, 144, 204)(136, 196, 151, 211, 165, 225, 156, 216, 139, 199, 152, 212)(145, 205, 161, 221, 173, 233, 163, 223, 146, 206, 162, 222)(153, 213, 169, 229, 177, 237, 171, 231, 154, 214, 170, 230)(159, 219, 174, 234, 164, 224, 176, 236, 160, 220, 175, 235)(167, 227, 178, 238, 172, 232, 180, 240, 168, 228, 179, 239)
	L = (1, 124)(2, 127)(3, 130)(4, 121)(5, 133)(6, 136)(7, 122)(8, 139)(9, 142)(10, 123)(11, 145)(12, 146)(13, 125)(14, 147)(15, 150)(16, 126)(17, 153)(18, 154)(19, 128)(20, 155)(21, 157)(22, 129)(23, 159)(24, 160)(25, 131)(26, 132)(27, 134)(28, 164)(29, 165)(30, 135)(31, 167)(32, 168)(33, 137)(34, 138)(35, 140)(36, 172)(37, 141)(38, 173)(39, 143)(40, 144)(41, 176)(42, 174)(43, 175)(44, 148)(45, 149)(46, 177)(47, 151)(48, 152)(49, 180)(50, 178)(51, 179)(52, 156)(53, 158)(54, 162)(55, 163)(56, 161)(57, 166)(58, 170)(59, 171)(60, 169)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1460
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
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, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^6, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 14, 74)(6, 66, 17, 77)(8, 68, 22, 82)(10, 70, 18, 78)(11, 71, 20, 80)(12, 72, 19, 79)(13, 73, 23, 83)(15, 75, 21, 81)(16, 76, 24, 84)(25, 85, 43, 103)(26, 86, 46, 106)(27, 87, 44, 104)(28, 88, 37, 97)(29, 89, 45, 105)(30, 90, 47, 107)(31, 91, 40, 100)(32, 92, 50, 110)(33, 93, 51, 111)(34, 94, 52, 112)(35, 95, 55, 115)(36, 96, 53, 113)(38, 98, 54, 114)(39, 99, 56, 116)(41, 101, 59, 119)(42, 102, 60, 120)(48, 108, 58, 118)(49, 109, 57, 117)(121, 181, 123, 183, 130, 190, 147, 207, 136, 196, 125, 185)(122, 182, 126, 186, 138, 198, 156, 216, 144, 204, 128, 188)(124, 184, 132, 192, 148, 208, 169, 229, 151, 211, 133, 193)(127, 187, 140, 200, 157, 217, 178, 238, 160, 220, 141, 201)(129, 189, 145, 205, 164, 224, 152, 212, 134, 194, 146, 206)(131, 191, 149, 209, 168, 228, 153, 213, 135, 195, 150, 210)(137, 197, 154, 214, 173, 233, 161, 221, 142, 202, 155, 215)(139, 199, 158, 218, 177, 237, 162, 222, 143, 203, 159, 219)(163, 223, 176, 236, 170, 230, 174, 234, 166, 226, 180, 240)(165, 225, 175, 235, 171, 231, 172, 232, 167, 227, 179, 239)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 135)(6, 139)(7, 122)(8, 143)(9, 140)(10, 148)(11, 123)(12, 137)(13, 142)(14, 141)(15, 125)(16, 151)(17, 132)(18, 157)(19, 126)(20, 129)(21, 134)(22, 133)(23, 128)(24, 160)(25, 165)(26, 167)(27, 168)(28, 130)(29, 163)(30, 166)(31, 136)(32, 171)(33, 170)(34, 174)(35, 176)(36, 177)(37, 138)(38, 172)(39, 175)(40, 144)(41, 180)(42, 179)(43, 149)(44, 178)(45, 145)(46, 150)(47, 146)(48, 147)(49, 173)(50, 153)(51, 152)(52, 158)(53, 169)(54, 154)(55, 159)(56, 155)(57, 156)(58, 164)(59, 162)(60, 161)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1455
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2^2 * Y1)^2, Y2^6, Y3 * Y2^2 * Y3 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 14, 74)(6, 66, 17, 77)(8, 68, 22, 82)(10, 70, 24, 84)(11, 71, 21, 81)(12, 72, 23, 83)(13, 73, 19, 79)(15, 75, 20, 80)(16, 76, 18, 78)(25, 85, 43, 103)(26, 86, 45, 105)(27, 87, 47, 107)(28, 88, 40, 100)(29, 89, 46, 106)(30, 90, 44, 104)(31, 91, 37, 97)(32, 92, 50, 110)(33, 93, 51, 111)(34, 94, 52, 112)(35, 95, 54, 114)(36, 96, 56, 116)(38, 98, 55, 115)(39, 99, 53, 113)(41, 101, 59, 119)(42, 102, 60, 120)(48, 108, 58, 118)(49, 109, 57, 117)(121, 181, 123, 183, 130, 190, 147, 207, 136, 196, 125, 185)(122, 182, 126, 186, 138, 198, 156, 216, 144, 204, 128, 188)(124, 184, 132, 192, 148, 208, 169, 229, 151, 211, 133, 193)(127, 187, 140, 200, 157, 217, 178, 238, 160, 220, 141, 201)(129, 189, 145, 205, 134, 194, 152, 212, 167, 227, 146, 206)(131, 191, 149, 209, 168, 228, 153, 213, 135, 195, 150, 210)(137, 197, 154, 214, 142, 202, 161, 221, 176, 236, 155, 215)(139, 199, 158, 218, 177, 237, 162, 222, 143, 203, 159, 219)(163, 223, 175, 235, 165, 225, 173, 233, 170, 230, 180, 240)(164, 224, 179, 239, 171, 231, 172, 232, 166, 226, 174, 234)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 135)(6, 139)(7, 122)(8, 143)(9, 141)(10, 148)(11, 123)(12, 142)(13, 137)(14, 140)(15, 125)(16, 151)(17, 133)(18, 157)(19, 126)(20, 134)(21, 129)(22, 132)(23, 128)(24, 160)(25, 164)(26, 166)(27, 168)(28, 130)(29, 165)(30, 163)(31, 136)(32, 171)(33, 170)(34, 173)(35, 175)(36, 177)(37, 138)(38, 174)(39, 172)(40, 144)(41, 180)(42, 179)(43, 150)(44, 145)(45, 149)(46, 146)(47, 178)(48, 147)(49, 176)(50, 153)(51, 152)(52, 159)(53, 154)(54, 158)(55, 155)(56, 169)(57, 156)(58, 167)(59, 162)(60, 161)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1456
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y3^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y3^4 * Y2^-2, (Y3 * R * Y2^-1)^2, R * Y2 * Y3 * R * Y2^-1 * Y3^-1, (Y3^-1 * Y2^-1)^5, Y3 * Y2^-1 * R * Y1 * Y2^-2 * R * Y2 * Y3^-1 * Y1, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 23, 83)(12, 72, 20, 80)(13, 73, 25, 85)(14, 74, 22, 82)(15, 75, 19, 79)(16, 76, 26, 86)(17, 77, 21, 81)(18, 78, 24, 84)(27, 87, 35, 95)(28, 88, 36, 96)(29, 89, 38, 98)(30, 90, 37, 97)(31, 91, 39, 99)(32, 92, 41, 101)(33, 93, 40, 100)(34, 94, 42, 102)(43, 103, 49, 109)(44, 104, 51, 111)(45, 105, 50, 110)(46, 106, 52, 112)(47, 107, 54, 114)(48, 108, 53, 113)(55, 115, 59, 119)(56, 116, 58, 118)(57, 117, 60, 120)(121, 181, 123, 183, 131, 191, 147, 207, 135, 195, 125, 185)(122, 182, 127, 187, 139, 199, 155, 215, 143, 203, 129, 189)(124, 184, 134, 194, 126, 186, 138, 198, 148, 208, 136, 196)(128, 188, 142, 202, 130, 190, 146, 206, 156, 216, 144, 204)(132, 192, 149, 209, 133, 193, 151, 211, 137, 197, 150, 210)(140, 200, 157, 217, 141, 201, 159, 219, 145, 205, 158, 218)(152, 212, 166, 226, 153, 213, 168, 228, 154, 214, 167, 227)(160, 220, 172, 232, 161, 221, 174, 234, 162, 222, 173, 233)(163, 223, 175, 235, 164, 224, 177, 237, 165, 225, 176, 236)(169, 229, 178, 238, 170, 230, 180, 240, 171, 231, 179, 239)
	L = (1, 124)(2, 128)(3, 132)(4, 135)(5, 137)(6, 121)(7, 140)(8, 143)(9, 145)(10, 122)(11, 126)(12, 125)(13, 123)(14, 152)(15, 148)(16, 154)(17, 147)(18, 153)(19, 130)(20, 129)(21, 127)(22, 160)(23, 156)(24, 162)(25, 155)(26, 161)(27, 133)(28, 131)(29, 163)(30, 165)(31, 164)(32, 136)(33, 134)(34, 138)(35, 141)(36, 139)(37, 169)(38, 171)(39, 170)(40, 144)(41, 142)(42, 146)(43, 150)(44, 149)(45, 151)(46, 176)(47, 177)(48, 175)(49, 158)(50, 157)(51, 159)(52, 179)(53, 180)(54, 178)(55, 166)(56, 167)(57, 168)(58, 172)(59, 173)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1461
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-2, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, Y3^-1 * Y2^4 * Y3^-1, Y3^6, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 18, 78)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 28, 88)(12, 72, 26, 86)(13, 73, 25, 85)(14, 74, 27, 87)(15, 75, 23, 83)(16, 76, 22, 82)(17, 77, 24, 84)(19, 79, 30, 90)(20, 80, 29, 89)(31, 91, 49, 109)(32, 92, 52, 112)(33, 93, 47, 107)(34, 94, 43, 103)(35, 95, 50, 110)(36, 96, 51, 111)(37, 97, 53, 113)(38, 98, 42, 102)(39, 99, 54, 114)(40, 100, 55, 115)(41, 101, 58, 118)(44, 104, 56, 116)(45, 105, 57, 117)(46, 106, 59, 119)(48, 108, 60, 120)(121, 181, 123, 183, 132, 192, 153, 213, 136, 196, 125, 185)(122, 182, 127, 187, 142, 202, 162, 222, 146, 206, 129, 189)(124, 184, 135, 195, 126, 186, 140, 200, 154, 214, 137, 197)(128, 188, 145, 205, 130, 190, 150, 210, 163, 223, 147, 207)(131, 191, 151, 211, 138, 198, 159, 219, 167, 227, 152, 212)(133, 193, 155, 215, 134, 194, 157, 217, 139, 199, 156, 216)(141, 201, 160, 220, 148, 208, 168, 228, 158, 218, 161, 221)(143, 203, 164, 224, 144, 204, 166, 226, 149, 209, 165, 225)(169, 229, 177, 237, 172, 232, 179, 239, 174, 234, 176, 236)(170, 230, 175, 235, 171, 231, 178, 238, 173, 233, 180, 240)
	L = (1, 124)(2, 128)(3, 133)(4, 136)(5, 139)(6, 121)(7, 143)(8, 146)(9, 149)(10, 122)(11, 147)(12, 126)(13, 125)(14, 123)(15, 141)(16, 154)(17, 158)(18, 145)(19, 153)(20, 148)(21, 137)(22, 130)(23, 129)(24, 127)(25, 131)(26, 163)(27, 167)(28, 135)(29, 162)(30, 138)(31, 170)(32, 173)(33, 134)(34, 132)(35, 169)(36, 174)(37, 172)(38, 140)(39, 171)(40, 176)(41, 179)(42, 144)(43, 142)(44, 175)(45, 180)(46, 178)(47, 150)(48, 177)(49, 156)(50, 152)(51, 151)(52, 155)(53, 159)(54, 157)(55, 165)(56, 161)(57, 160)(58, 164)(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) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1457
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, Y3 * Y1^-4 * Y3 * Y1, (Y3 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 26, 86, 39, 99, 52, 112, 50, 110, 48, 108, 55, 115, 49, 109, 27, 87, 32, 92, 14, 74, 5, 65)(3, 63, 7, 67, 16, 76, 33, 93, 41, 101, 54, 114, 59, 119, 58, 118, 56, 116, 60, 120, 57, 117, 42, 102, 47, 107, 24, 84, 10, 70)(4, 64, 11, 71, 25, 85, 20, 80, 8, 68, 19, 79, 38, 98, 31, 91, 17, 77, 35, 95, 30, 90, 13, 73, 29, 89, 28, 88, 12, 72)(9, 69, 21, 81, 40, 100, 37, 97, 18, 78, 36, 96, 53, 113, 46, 106, 34, 94, 51, 111, 45, 105, 23, 83, 44, 104, 43, 103, 22, 82)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 129, 189)(125, 185, 130, 190)(126, 186, 136, 196)(128, 188, 138, 198)(131, 191, 141, 201)(132, 192, 142, 202)(133, 193, 143, 203)(134, 194, 144, 204)(135, 195, 153, 213)(137, 197, 154, 214)(139, 199, 156, 216)(140, 200, 157, 217)(145, 205, 160, 220)(146, 206, 161, 221)(147, 207, 162, 222)(148, 208, 163, 223)(149, 209, 164, 224)(150, 210, 165, 225)(151, 211, 166, 226)(152, 212, 167, 227)(155, 215, 171, 231)(158, 218, 173, 233)(159, 219, 174, 234)(168, 228, 176, 236)(169, 229, 177, 237)(170, 230, 178, 238)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 128)(3, 129)(4, 121)(5, 133)(6, 137)(7, 138)(8, 122)(9, 123)(10, 143)(11, 146)(12, 147)(13, 125)(14, 151)(15, 149)(16, 154)(17, 126)(18, 127)(19, 159)(20, 152)(21, 161)(22, 162)(23, 130)(24, 166)(25, 168)(26, 131)(27, 132)(28, 170)(29, 135)(30, 169)(31, 134)(32, 140)(33, 164)(34, 136)(35, 172)(36, 174)(37, 167)(38, 175)(39, 139)(40, 176)(41, 141)(42, 142)(43, 178)(44, 153)(45, 177)(46, 144)(47, 157)(48, 145)(49, 150)(50, 148)(51, 179)(52, 155)(53, 180)(54, 156)(55, 158)(56, 160)(57, 165)(58, 163)(59, 171)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1451
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * Y1^-1)^2, Y1^3 * Y3 * Y1^-1 * Y3 * Y1, Y1^-1 * Y2 * Y1^3 * Y2 * Y1^-2, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 17, 77, 29, 89, 45, 105, 57, 117, 49, 109, 55, 115, 59, 119, 51, 111, 26, 86, 40, 100, 16, 76, 5, 65)(3, 63, 9, 69, 25, 85, 35, 95, 14, 74, 34, 94, 42, 102, 18, 78, 38, 98, 47, 107, 22, 82, 7, 67, 20, 80, 31, 91, 11, 71)(4, 64, 12, 72, 32, 92, 24, 84, 8, 68, 23, 83, 48, 108, 39, 99, 19, 79, 43, 103, 37, 97, 15, 75, 36, 96, 33, 93, 13, 73)(10, 70, 28, 88, 53, 113, 44, 104, 27, 87, 52, 112, 60, 120, 56, 116, 50, 110, 58, 118, 46, 106, 30, 90, 54, 114, 41, 101, 21, 81)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 134, 194)(126, 186, 138, 198)(128, 188, 141, 201)(129, 189, 146, 206)(131, 191, 149, 209)(132, 192, 150, 210)(133, 193, 147, 207)(135, 195, 148, 208)(136, 196, 158, 218)(137, 197, 155, 215)(139, 199, 161, 221)(140, 200, 160, 220)(142, 202, 165, 225)(143, 203, 166, 226)(144, 204, 164, 224)(145, 205, 169, 229)(151, 211, 175, 235)(152, 212, 176, 236)(153, 213, 170, 230)(154, 214, 171, 231)(156, 216, 174, 234)(157, 217, 172, 232)(159, 219, 173, 233)(162, 222, 177, 237)(163, 223, 178, 238)(167, 227, 179, 239)(168, 228, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 135)(6, 139)(7, 141)(8, 122)(9, 147)(10, 123)(11, 150)(12, 149)(13, 146)(14, 148)(15, 125)(16, 159)(17, 156)(18, 161)(19, 126)(20, 164)(21, 127)(22, 166)(23, 165)(24, 160)(25, 170)(26, 133)(27, 129)(28, 134)(29, 132)(30, 131)(31, 176)(32, 175)(33, 169)(34, 172)(35, 174)(36, 137)(37, 171)(38, 173)(39, 136)(40, 144)(41, 138)(42, 178)(43, 177)(44, 140)(45, 143)(46, 142)(47, 180)(48, 179)(49, 153)(50, 145)(51, 157)(52, 154)(53, 158)(54, 155)(55, 152)(56, 151)(57, 163)(58, 162)(59, 168)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1452
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3^-1)^2, Y1 * Y3^-2 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y1 * Y3^-3 * Y1 * Y3, (Y1^-1 * R * Y2)^2, (Y1^-2 * Y3^-1)^2, Y3^-2 * Y1^5, Y1 * Y3 * Y1^-2 * Y3 * Y1^2, Y1^-2 * Y3^-1 * Y2 * Y1^-2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 23, 83, 39, 99, 16, 76, 32, 92, 53, 113, 59, 119, 44, 104, 22, 82, 34, 94, 49, 109, 19, 79, 5, 65)(3, 63, 11, 71, 35, 95, 45, 105, 17, 77, 38, 98, 51, 111, 24, 84, 47, 107, 55, 115, 29, 89, 8, 68, 27, 87, 41, 101, 13, 73)(4, 64, 15, 75, 43, 103, 26, 86, 9, 69, 31, 91, 20, 80, 48, 108, 25, 85, 21, 81, 6, 66, 18, 78, 46, 106, 33, 93, 10, 70)(12, 72, 37, 97, 57, 117, 54, 114, 36, 96, 56, 116, 42, 102, 60, 120, 52, 112, 30, 90, 14, 74, 40, 100, 58, 118, 50, 110, 28, 88)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 144, 204)(129, 189, 150, 210)(130, 190, 148, 208)(131, 191, 154, 214)(133, 193, 159, 219)(135, 195, 162, 222)(136, 196, 149, 209)(138, 198, 160, 220)(139, 199, 167, 227)(140, 200, 157, 217)(141, 201, 156, 216)(142, 202, 158, 218)(143, 203, 165, 225)(145, 205, 172, 232)(146, 206, 170, 230)(147, 207, 169, 229)(151, 211, 176, 236)(152, 212, 171, 231)(153, 213, 174, 234)(155, 215, 173, 233)(161, 221, 179, 239)(163, 223, 177, 237)(164, 224, 175, 235)(166, 226, 180, 240)(168, 228, 178, 238)
	L = (1, 124)(2, 129)(3, 132)(4, 136)(5, 138)(6, 121)(7, 145)(8, 148)(9, 152)(10, 122)(11, 156)(12, 158)(13, 160)(14, 123)(15, 164)(16, 151)(17, 157)(18, 159)(19, 168)(20, 125)(21, 154)(22, 126)(23, 166)(24, 170)(25, 173)(26, 127)(27, 174)(28, 131)(29, 134)(30, 128)(31, 142)(32, 141)(33, 169)(34, 130)(35, 172)(36, 171)(37, 175)(38, 176)(39, 135)(40, 137)(41, 180)(42, 133)(43, 139)(44, 140)(45, 178)(46, 179)(47, 177)(48, 143)(49, 146)(50, 147)(51, 150)(52, 144)(53, 153)(54, 155)(55, 162)(56, 149)(57, 161)(58, 167)(59, 163)(60, 165)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1454
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2, Y1 * Y2 * Y1^-4 * Y2, (Y1^-1 * Y3 * Y1^-2)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 17, 77, 26, 86, 45, 105, 57, 117, 55, 115, 49, 109, 59, 119, 53, 113, 29, 89, 40, 100, 16, 76, 5, 65)(3, 63, 9, 69, 25, 85, 22, 82, 7, 67, 20, 80, 44, 104, 38, 98, 18, 78, 41, 101, 35, 95, 14, 74, 34, 94, 31, 91, 11, 71)(4, 64, 12, 72, 32, 92, 24, 84, 8, 68, 23, 83, 48, 108, 39, 99, 19, 79, 43, 103, 37, 97, 15, 75, 36, 96, 33, 93, 13, 73)(10, 70, 21, 81, 42, 102, 51, 111, 27, 87, 46, 106, 58, 118, 56, 116, 50, 110, 60, 120, 54, 114, 30, 90, 47, 107, 52, 112, 28, 88)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 134, 194)(126, 186, 138, 198)(128, 188, 141, 201)(129, 189, 146, 206)(131, 191, 149, 209)(132, 192, 147, 207)(133, 193, 150, 210)(135, 195, 148, 208)(136, 196, 158, 218)(137, 197, 154, 214)(139, 199, 162, 222)(140, 200, 165, 225)(142, 202, 160, 220)(143, 203, 166, 226)(144, 204, 167, 227)(145, 205, 169, 229)(151, 211, 175, 235)(152, 212, 170, 230)(153, 213, 176, 236)(155, 215, 173, 233)(156, 216, 171, 231)(157, 217, 174, 234)(159, 219, 172, 232)(161, 221, 177, 237)(163, 223, 178, 238)(164, 224, 179, 239)(168, 228, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 135)(6, 139)(7, 141)(8, 122)(9, 147)(10, 123)(11, 150)(12, 146)(13, 149)(14, 148)(15, 125)(16, 159)(17, 156)(18, 162)(19, 126)(20, 166)(21, 127)(22, 167)(23, 165)(24, 160)(25, 170)(26, 132)(27, 129)(28, 134)(29, 133)(30, 131)(31, 176)(32, 169)(33, 175)(34, 171)(35, 174)(36, 137)(37, 173)(38, 172)(39, 136)(40, 144)(41, 178)(42, 138)(43, 177)(44, 180)(45, 143)(46, 140)(47, 142)(48, 179)(49, 152)(50, 145)(51, 154)(52, 158)(53, 157)(54, 155)(55, 153)(56, 151)(57, 163)(58, 161)(59, 168)(60, 164)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1449
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, (Y2 * Y1 * R)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 15, 75, 27, 87, 43, 103, 54, 114, 51, 111, 48, 108, 56, 116, 50, 110, 31, 91, 20, 80, 18, 78, 5, 65)(3, 63, 11, 71, 28, 88, 25, 85, 8, 68, 23, 83, 44, 104, 38, 98, 21, 81, 41, 101, 37, 97, 17, 77, 34, 94, 32, 92, 13, 73)(4, 64, 9, 69, 22, 82, 35, 95, 47, 107, 58, 118, 60, 120, 59, 119, 49, 109, 40, 100, 39, 99, 19, 79, 6, 66, 10, 70, 16, 76)(12, 72, 26, 86, 45, 105, 46, 106, 24, 84, 42, 102, 57, 117, 55, 115, 36, 96, 53, 113, 52, 112, 33, 93, 14, 74, 29, 89, 30, 90)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 141, 201)(129, 189, 146, 206)(130, 190, 144, 204)(131, 191, 147, 207)(133, 193, 151, 211)(135, 195, 154, 214)(136, 196, 156, 216)(138, 198, 158, 218)(139, 199, 153, 213)(140, 200, 145, 205)(142, 202, 162, 222)(143, 203, 163, 223)(148, 208, 168, 228)(149, 209, 167, 227)(150, 210, 169, 229)(152, 212, 171, 231)(155, 215, 173, 233)(157, 217, 170, 230)(159, 219, 175, 235)(160, 220, 166, 226)(161, 221, 174, 234)(164, 224, 176, 236)(165, 225, 178, 238)(172, 232, 179, 239)(177, 237, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 142)(8, 144)(9, 147)(10, 122)(11, 146)(12, 145)(13, 150)(14, 123)(15, 155)(16, 127)(17, 153)(18, 130)(19, 125)(20, 126)(21, 156)(22, 163)(23, 162)(24, 158)(25, 166)(26, 128)(27, 167)(28, 165)(29, 131)(30, 148)(31, 139)(32, 149)(33, 133)(34, 134)(35, 174)(36, 137)(37, 172)(38, 175)(39, 138)(40, 140)(41, 173)(42, 141)(43, 178)(44, 177)(45, 143)(46, 164)(47, 171)(48, 169)(49, 151)(50, 159)(51, 179)(52, 152)(53, 154)(54, 180)(55, 157)(56, 160)(57, 161)(58, 168)(59, 170)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1448
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y1^-4 * Y3, (Y3 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 26, 86, 39, 99, 52, 112, 50, 110, 48, 108, 55, 115, 49, 109, 27, 87, 32, 92, 14, 74, 5, 65)(3, 63, 9, 69, 21, 81, 40, 100, 45, 105, 56, 116, 60, 120, 58, 118, 57, 117, 59, 119, 53, 113, 46, 106, 33, 93, 16, 76, 7, 67)(4, 64, 11, 71, 25, 85, 20, 80, 8, 68, 19, 79, 38, 98, 31, 91, 17, 77, 35, 95, 30, 90, 13, 73, 29, 89, 28, 88, 12, 72)(10, 70, 23, 83, 44, 104, 43, 103, 22, 82, 42, 102, 51, 111, 34, 94, 41, 101, 54, 114, 37, 97, 18, 78, 36, 96, 47, 107, 24, 84)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 129, 189)(126, 186, 136, 196)(128, 188, 138, 198)(131, 191, 144, 204)(132, 192, 143, 203)(133, 193, 142, 202)(134, 194, 141, 201)(135, 195, 153, 213)(137, 197, 154, 214)(139, 199, 157, 217)(140, 200, 156, 216)(145, 205, 167, 227)(146, 206, 166, 226)(147, 207, 165, 225)(148, 208, 164, 224)(149, 209, 163, 223)(150, 210, 162, 222)(151, 211, 161, 221)(152, 212, 160, 220)(155, 215, 171, 231)(158, 218, 174, 234)(159, 219, 173, 233)(168, 228, 178, 238)(169, 229, 176, 236)(170, 230, 177, 237)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 133)(6, 137)(7, 138)(8, 122)(9, 142)(10, 123)(11, 146)(12, 147)(13, 125)(14, 151)(15, 149)(16, 154)(17, 126)(18, 127)(19, 159)(20, 152)(21, 161)(22, 129)(23, 165)(24, 166)(25, 168)(26, 131)(27, 132)(28, 170)(29, 135)(30, 169)(31, 134)(32, 140)(33, 163)(34, 136)(35, 172)(36, 160)(37, 173)(38, 175)(39, 139)(40, 156)(41, 141)(42, 176)(43, 153)(44, 177)(45, 143)(46, 144)(47, 178)(48, 145)(49, 150)(50, 148)(51, 179)(52, 155)(53, 157)(54, 180)(55, 158)(56, 162)(57, 164)(58, 167)(59, 171)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1450
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1 * Y2)^2, Y3^-2 * Y1 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^6, (Y3^-1 * Y1^-2)^2, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 21, 81, 40, 100, 15, 75, 28, 88, 47, 107, 58, 118, 39, 99, 20, 80, 30, 90, 43, 103, 17, 77, 5, 65)(3, 63, 11, 71, 31, 91, 52, 112, 49, 109, 35, 95, 55, 115, 60, 120, 59, 119, 51, 111, 37, 97, 57, 117, 44, 104, 22, 82, 8, 68)(4, 64, 14, 74, 38, 98, 24, 84, 9, 69, 27, 87, 18, 78, 42, 102, 23, 83, 19, 79, 6, 66, 16, 76, 41, 101, 29, 89, 10, 70)(12, 72, 34, 94, 46, 106, 54, 114, 32, 92, 50, 110, 26, 86, 45, 105, 53, 113, 36, 96, 13, 73, 25, 85, 48, 108, 56, 116, 33, 93)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 142, 202)(129, 189, 146, 206)(130, 190, 145, 205)(134, 194, 156, 216)(135, 195, 157, 217)(136, 196, 153, 213)(137, 197, 151, 211)(138, 198, 152, 212)(139, 199, 154, 214)(140, 200, 155, 215)(141, 201, 164, 224)(143, 203, 166, 226)(144, 204, 165, 225)(147, 207, 170, 230)(148, 208, 171, 231)(149, 209, 168, 228)(150, 210, 169, 229)(158, 218, 173, 233)(159, 219, 175, 235)(160, 220, 177, 237)(161, 221, 176, 236)(162, 222, 174, 234)(163, 223, 172, 232)(167, 227, 179, 239)(178, 238, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 143)(8, 145)(9, 148)(10, 122)(11, 152)(12, 155)(13, 123)(14, 159)(15, 147)(16, 160)(17, 162)(18, 125)(19, 150)(20, 126)(21, 161)(22, 165)(23, 167)(24, 127)(25, 169)(26, 128)(27, 140)(28, 139)(29, 163)(30, 130)(31, 173)(32, 175)(33, 131)(34, 171)(35, 170)(36, 177)(37, 133)(38, 137)(39, 138)(40, 134)(41, 178)(42, 141)(43, 144)(44, 174)(45, 172)(46, 142)(47, 149)(48, 179)(49, 154)(50, 157)(51, 146)(52, 168)(53, 180)(54, 151)(55, 156)(56, 164)(57, 153)(58, 158)(59, 166)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1453
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-3 * Y2, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, (Y1 * Y3^-1 * Y1)^2, Y3^-2 * Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 8, 68, 27, 87, 19, 79, 5, 65)(3, 63, 13, 73, 28, 88, 11, 71, 36, 96, 16, 76)(4, 64, 10, 70, 7, 67, 12, 72, 30, 90, 20, 80)(6, 66, 22, 82, 29, 89, 21, 81, 33, 93, 9, 69)(14, 74, 42, 102, 52, 112, 41, 101, 58, 118, 38, 98)(15, 75, 35, 95, 17, 77, 37, 97, 26, 86, 39, 99)(18, 78, 32, 92, 23, 83, 34, 94, 25, 85, 40, 100)(24, 84, 48, 108, 53, 113, 31, 91, 43, 103, 49, 109)(44, 104, 57, 117, 45, 105, 59, 119, 46, 106, 60, 120)(47, 107, 54, 114, 50, 110, 55, 115, 51, 111, 56, 116)(121, 181, 123, 183, 134, 194, 163, 223, 153, 213, 139, 199, 156, 216, 178, 238, 173, 233, 149, 209, 128, 188, 148, 208, 172, 232, 144, 204, 126, 186)(122, 182, 129, 189, 151, 211, 161, 221, 133, 193, 125, 185, 141, 201, 168, 228, 162, 222, 136, 196, 147, 207, 142, 202, 169, 229, 158, 218, 131, 191)(124, 184, 138, 198, 167, 227, 165, 225, 135, 195, 150, 210, 145, 205, 171, 231, 164, 224, 146, 206, 127, 187, 143, 203, 170, 230, 166, 226, 137, 197)(130, 190, 155, 215, 177, 237, 175, 235, 152, 212, 140, 200, 159, 219, 180, 240, 174, 234, 160, 220, 132, 192, 157, 217, 179, 239, 176, 236, 154, 214)
	L = (1, 124)(2, 130)(3, 135)(4, 139)(5, 140)(6, 143)(7, 121)(8, 127)(9, 152)(10, 125)(11, 157)(12, 122)(13, 155)(14, 164)(15, 156)(16, 159)(17, 123)(18, 149)(19, 150)(20, 147)(21, 160)(22, 154)(23, 153)(24, 171)(25, 126)(26, 148)(27, 132)(28, 137)(29, 145)(30, 128)(31, 174)(32, 141)(33, 138)(34, 129)(35, 136)(36, 146)(37, 133)(38, 180)(39, 131)(40, 142)(41, 179)(42, 177)(43, 170)(44, 178)(45, 134)(46, 172)(47, 144)(48, 176)(49, 175)(50, 173)(51, 163)(52, 165)(53, 167)(54, 168)(55, 151)(56, 169)(57, 158)(58, 166)(59, 162)(60, 161)(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 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1447
Graph:: bipartite
	v = 14 e = 120 f = 60
	degree seq :: [ 12^10, 30^4 ]

E24.1463 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 15})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-2 * Y3)^2, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y3, Y1^15, 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, 62, 2, 66, 6, 74, 14, 86, 26, 94, 34, 102, 42, 110, 50, 117, 57, 109, 49, 101, 41, 93, 33, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 90, 30, 98, 38, 106, 46, 114, 54, 120, 60, 113, 53, 105, 45, 97, 37, 89, 29, 84, 24, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 81, 21, 92, 32, 100, 40, 108, 48, 116, 56, 118, 58, 111, 51, 103, 43, 95, 35, 87, 27, 76, 16, 68, 8, 64)(10, 77, 17, 83, 23, 72, 12, 78, 18, 88, 28, 96, 36, 104, 44, 112, 52, 119, 59, 115, 55, 107, 47, 99, 39, 91, 31, 80, 20, 70)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 24)(16, 28)(17, 22)(20, 32)(25, 30)(26, 29)(27, 36)(31, 40)(33, 38)(34, 37)(35, 44)(39, 48)(41, 46)(42, 45)(43, 52)(47, 56)(49, 54)(50, 53)(51, 59)(55, 58)(57, 60)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 87)(75, 83)(78, 89)(79, 91)(81, 85)(86, 95)(88, 97)(90, 99)(92, 93)(94, 103)(96, 105)(98, 107)(100, 101)(102, 111)(104, 113)(106, 115)(108, 109)(110, 118)(112, 120)(114, 119)(116, 117)
	local type(s) :: { ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1464
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 10
	degree seq :: [ 30^4 ]

E24.1464 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 15})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^6, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, (Y2 * Y3 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 85, 25, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 86, 26, 76, 16, 68, 8, 64)(10, 77, 17, 87, 27, 97, 37, 91, 31, 80, 20, 70)(12, 78, 18, 88, 28, 98, 38, 94, 34, 83, 23, 72)(21, 92, 32, 103, 43, 109, 49, 99, 39, 89, 29, 81)(24, 95, 35, 106, 46, 110, 50, 100, 40, 90, 30, 84)(33, 101, 41, 111, 51, 120, 60, 115, 55, 104, 44, 93)(36, 102, 42, 112, 52, 117, 57, 118, 58, 107, 47, 96)(45, 116, 56, 114, 54, 108, 48, 119, 59, 113, 53, 105)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 25)(16, 28)(17, 29)(20, 32)(22, 34)(24, 36)(26, 38)(27, 39)(30, 42)(31, 43)(33, 45)(35, 47)(37, 49)(40, 52)(41, 53)(44, 56)(46, 58)(48, 60)(50, 57)(51, 59)(54, 55)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 86)(75, 87)(78, 90)(79, 91)(81, 93)(83, 95)(85, 97)(88, 100)(89, 101)(92, 104)(94, 106)(96, 108)(98, 110)(99, 111)(102, 114)(103, 115)(105, 117)(107, 119)(109, 120)(112, 116)(113, 118)
	local type(s) :: { ( 30^12 ) }
Outer automorphisms :: reflexible
Dual of E24.1463
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 12^10 ]

E24.1465 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 15})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 30, 90, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 36, 96, 23, 83, 11, 71)(6, 66, 15, 75, 28, 88, 42, 102, 29, 89, 16, 76)(9, 69, 20, 80, 34, 94, 48, 108, 35, 95, 21, 81)(14, 74, 26, 86, 40, 100, 54, 114, 41, 101, 27, 87)(19, 79, 32, 92, 46, 106, 60, 120, 47, 107, 33, 93)(25, 85, 38, 98, 52, 112, 55, 115, 53, 113, 39, 99)(31, 91, 44, 104, 58, 118, 49, 109, 59, 119, 45, 105)(37, 97, 50, 110, 57, 117, 43, 103, 56, 116, 51, 111)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 147)(136, 146)(139, 151)(142, 155)(143, 154)(144, 150)(145, 157)(148, 161)(149, 160)(152, 165)(153, 164)(156, 168)(158, 171)(159, 170)(162, 174)(163, 175)(166, 179)(167, 178)(169, 180)(172, 176)(173, 177)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 205)(197, 209)(198, 208)(200, 213)(201, 212)(204, 216)(206, 219)(207, 218)(210, 222)(211, 223)(214, 227)(215, 226)(217, 229)(220, 233)(221, 232)(224, 237)(225, 236)(228, 240)(230, 238)(231, 239)(234, 235)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^12 ) }
Outer automorphisms :: reflexible
Dual of E24.1468
Graph:: simple bipartite
	v = 70 e = 120 f = 4
	degree seq :: [ 2^60, 12^10 ]

E24.1466 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 15})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^15, (Y3 * Y1 * Y2)^6 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 32, 92, 40, 100, 48, 108, 56, 116, 57, 117, 49, 109, 41, 101, 33, 93, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 19, 79, 29, 89, 37, 97, 45, 105, 53, 113, 60, 120, 52, 112, 44, 104, 36, 96, 28, 88, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 31, 91, 39, 99, 47, 107, 55, 115, 58, 118, 50, 110, 42, 102, 34, 94, 26, 86, 14, 74, 23, 83, 11, 71)(6, 66, 15, 75, 27, 87, 35, 95, 43, 103, 51, 111, 59, 119, 54, 114, 46, 106, 38, 98, 30, 90, 21, 81, 9, 69, 20, 80, 16, 76)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 146)(136, 143)(139, 145)(142, 150)(144, 148)(147, 154)(149, 153)(151, 158)(152, 156)(155, 162)(157, 161)(159, 166)(160, 164)(163, 170)(165, 169)(167, 174)(168, 172)(171, 178)(173, 177)(175, 179)(176, 180)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 204)(197, 200)(198, 207)(201, 209)(205, 211)(206, 212)(208, 215)(210, 217)(213, 219)(214, 220)(216, 223)(218, 225)(221, 227)(222, 228)(224, 231)(226, 233)(229, 235)(230, 236)(232, 239)(234, 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) :: { ( 24, 24 ), ( 24^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1467
Graph:: simple bipartite
	v = 64 e = 120 f = 10
	degree seq :: [ 2^60, 30^4 ]

E24.1467 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 15})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 30, 90, 150, 210, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 36, 96, 156, 216, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 28, 88, 148, 208, 42, 102, 162, 222, 29, 89, 149, 209, 16, 76, 136, 196)(9, 69, 129, 189, 20, 80, 140, 200, 34, 94, 154, 214, 48, 108, 168, 228, 35, 95, 155, 215, 21, 81, 141, 201)(14, 74, 134, 194, 26, 86, 146, 206, 40, 100, 160, 220, 54, 114, 174, 234, 41, 101, 161, 221, 27, 87, 147, 207)(19, 79, 139, 199, 32, 92, 152, 212, 46, 106, 166, 226, 60, 120, 180, 240, 47, 107, 167, 227, 33, 93, 153, 213)(25, 85, 145, 205, 38, 98, 158, 218, 52, 112, 172, 232, 55, 115, 175, 235, 53, 113, 173, 233, 39, 99, 159, 219)(31, 91, 151, 211, 44, 104, 164, 224, 58, 118, 178, 238, 49, 109, 169, 229, 59, 119, 179, 239, 45, 105, 165, 225)(37, 97, 157, 217, 50, 110, 170, 230, 57, 117, 177, 237, 43, 103, 163, 223, 56, 116, 176, 236, 51, 111, 171, 231)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 87)(16, 86)(17, 73)(18, 72)(19, 91)(20, 71)(21, 70)(22, 95)(23, 94)(24, 90)(25, 97)(26, 76)(27, 75)(28, 101)(29, 100)(30, 84)(31, 79)(32, 105)(33, 104)(34, 83)(35, 82)(36, 108)(37, 85)(38, 111)(39, 110)(40, 89)(41, 88)(42, 114)(43, 115)(44, 93)(45, 92)(46, 119)(47, 118)(48, 96)(49, 120)(50, 99)(51, 98)(52, 116)(53, 117)(54, 102)(55, 103)(56, 112)(57, 113)(58, 107)(59, 106)(60, 109)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 205)(135, 188)(136, 187)(137, 209)(138, 208)(139, 189)(140, 213)(141, 212)(142, 193)(143, 192)(144, 216)(145, 194)(146, 219)(147, 218)(148, 198)(149, 197)(150, 222)(151, 223)(152, 201)(153, 200)(154, 227)(155, 226)(156, 204)(157, 229)(158, 207)(159, 206)(160, 233)(161, 232)(162, 210)(163, 211)(164, 237)(165, 236)(166, 215)(167, 214)(168, 240)(169, 217)(170, 238)(171, 239)(172, 221)(173, 220)(174, 235)(175, 234)(176, 225)(177, 224)(178, 230)(179, 231)(180, 228)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1466
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 120 f = 64
	degree seq :: [ 24^10 ]

E24.1468 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 15})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^15, (Y3 * Y1 * Y2)^6 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 32, 92, 152, 212, 40, 100, 160, 220, 48, 108, 168, 228, 56, 116, 176, 236, 57, 117, 177, 237, 49, 109, 169, 229, 41, 101, 161, 221, 33, 93, 153, 213, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 19, 79, 139, 199, 29, 89, 149, 209, 37, 97, 157, 217, 45, 105, 165, 225, 53, 113, 173, 233, 60, 120, 180, 240, 52, 112, 172, 232, 44, 104, 164, 224, 36, 96, 156, 216, 28, 88, 148, 208, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 31, 91, 151, 211, 39, 99, 159, 219, 47, 107, 167, 227, 55, 115, 175, 235, 58, 118, 178, 238, 50, 110, 170, 230, 42, 102, 162, 222, 34, 94, 154, 214, 26, 86, 146, 206, 14, 74, 134, 194, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 27, 87, 147, 207, 35, 95, 155, 215, 43, 103, 163, 223, 51, 111, 171, 231, 59, 119, 179, 239, 54, 114, 174, 234, 46, 106, 166, 226, 38, 98, 158, 218, 30, 90, 150, 210, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 16, 76, 136, 196)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 86)(16, 83)(17, 73)(18, 72)(19, 85)(20, 71)(21, 70)(22, 90)(23, 76)(24, 88)(25, 79)(26, 75)(27, 94)(28, 84)(29, 93)(30, 82)(31, 98)(32, 96)(33, 89)(34, 87)(35, 102)(36, 92)(37, 101)(38, 91)(39, 106)(40, 104)(41, 97)(42, 95)(43, 110)(44, 100)(45, 109)(46, 99)(47, 114)(48, 112)(49, 105)(50, 103)(51, 118)(52, 108)(53, 117)(54, 107)(55, 119)(56, 120)(57, 113)(58, 111)(59, 115)(60, 116)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 204)(135, 188)(136, 187)(137, 200)(138, 207)(139, 189)(140, 197)(141, 209)(142, 193)(143, 192)(144, 194)(145, 211)(146, 212)(147, 198)(148, 215)(149, 201)(150, 217)(151, 205)(152, 206)(153, 219)(154, 220)(155, 208)(156, 223)(157, 210)(158, 225)(159, 213)(160, 214)(161, 227)(162, 228)(163, 216)(164, 231)(165, 218)(166, 233)(167, 221)(168, 222)(169, 235)(170, 236)(171, 224)(172, 239)(173, 226)(174, 240)(175, 229)(176, 230)(177, 238)(178, 237)(179, 232)(180, 234)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1465
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 70
	degree seq :: [ 60^4 ]

E24.1469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1 * Y1)^2, (R * Y2)^2, Y2^6, Y2^6, Y3^5 * Y2^3, Y2^12 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 38, 98)(28, 88, 46, 106)(29, 89, 45, 105)(30, 90, 47, 107)(31, 91, 44, 104)(32, 92, 48, 108)(33, 93, 42, 102)(34, 94, 40, 100)(35, 95, 39, 99)(36, 96, 41, 101)(37, 97, 43, 103)(49, 109, 56, 116)(50, 110, 55, 115)(51, 111, 59, 119)(52, 112, 60, 120)(53, 113, 57, 117)(54, 114, 58, 118)(121, 181, 123, 183, 131, 191, 147, 207, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 158, 218, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 169, 229, 154, 214, 135, 195)(126, 186, 133, 193, 149, 209, 170, 230, 155, 215, 137, 197)(128, 188, 140, 200, 159, 219, 175, 235, 165, 225, 143, 203)(130, 190, 141, 201, 160, 220, 176, 236, 166, 226, 145, 205)(134, 194, 150, 210, 171, 231, 157, 217, 174, 234, 153, 213)(138, 198, 151, 211, 172, 232, 152, 212, 173, 233, 156, 216)(142, 202, 161, 221, 177, 237, 168, 228, 180, 240, 164, 224)(146, 206, 162, 222, 178, 238, 163, 223, 179, 239, 167, 227)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 159)(20, 161)(21, 127)(22, 163)(23, 164)(24, 165)(25, 129)(26, 130)(27, 169)(28, 171)(29, 131)(30, 173)(31, 133)(32, 170)(33, 172)(34, 174)(35, 136)(36, 137)(37, 138)(38, 175)(39, 177)(40, 139)(41, 179)(42, 141)(43, 176)(44, 178)(45, 180)(46, 144)(47, 145)(48, 146)(49, 157)(50, 147)(51, 156)(52, 149)(53, 155)(54, 151)(55, 168)(56, 158)(57, 167)(58, 160)(59, 166)(60, 162)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1471
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^5, Y2^6, 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^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 36, 96)(28, 88, 43, 103)(29, 89, 42, 102)(30, 90, 44, 104)(31, 91, 41, 101)(32, 92, 40, 100)(33, 93, 38, 98)(34, 94, 37, 97)(35, 95, 39, 99)(45, 105, 52, 112)(46, 106, 51, 111)(47, 107, 56, 116)(48, 108, 55, 115)(49, 109, 54, 114)(50, 110, 53, 113)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 131, 191, 147, 207, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 156, 216, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 165, 225, 153, 213, 135, 195)(126, 186, 133, 193, 149, 209, 166, 226, 154, 214, 137, 197)(128, 188, 140, 200, 157, 217, 171, 231, 162, 222, 143, 203)(130, 190, 141, 201, 158, 218, 172, 232, 163, 223, 145, 205)(134, 194, 150, 210, 167, 227, 177, 237, 169, 229, 152, 212)(138, 198, 151, 211, 168, 228, 178, 238, 170, 230, 155, 215)(142, 202, 159, 219, 173, 233, 179, 239, 175, 235, 161, 221)(146, 206, 160, 220, 174, 234, 180, 240, 176, 236, 164, 224)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 148)(12, 150)(13, 123)(14, 151)(15, 152)(16, 153)(17, 125)(18, 126)(19, 157)(20, 159)(21, 127)(22, 160)(23, 161)(24, 162)(25, 129)(26, 130)(27, 165)(28, 167)(29, 131)(30, 168)(31, 133)(32, 138)(33, 169)(34, 136)(35, 137)(36, 171)(37, 173)(38, 139)(39, 174)(40, 141)(41, 146)(42, 175)(43, 144)(44, 145)(45, 177)(46, 147)(47, 178)(48, 149)(49, 155)(50, 154)(51, 179)(52, 156)(53, 180)(54, 158)(55, 164)(56, 163)(57, 170)(58, 166)(59, 176)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1472
Graph:: simple bipartite
	v = 40 e = 120 f = 34
	degree seq :: [ 4^30, 12^10 ]

E24.1471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3^-1, Y1^-1), Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 14, 74, 23, 83, 34, 94, 41, 101, 48, 108, 55, 115, 44, 104, 42, 102, 31, 91, 18, 78, 16, 76, 5, 65)(3, 63, 11, 71, 24, 84, 27, 87, 38, 98, 49, 109, 51, 111, 59, 119, 57, 117, 52, 112, 45, 105, 35, 95, 28, 88, 19, 79, 8, 68)(4, 64, 9, 69, 20, 80, 29, 89, 36, 96, 46, 106, 53, 113, 54, 114, 43, 103, 32, 92, 30, 90, 17, 77, 6, 66, 10, 70, 15, 75)(12, 72, 25, 85, 37, 97, 39, 99, 50, 110, 58, 118, 60, 120, 56, 116, 47, 107, 40, 100, 33, 93, 22, 82, 13, 73, 26, 86, 21, 81)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 139, 199)(129, 189, 142, 202)(130, 190, 141, 201)(134, 194, 148, 208)(135, 195, 146, 206)(136, 196, 144, 204)(137, 197, 145, 205)(138, 198, 147, 207)(140, 200, 153, 213)(143, 203, 155, 215)(149, 209, 160, 220)(150, 210, 157, 217)(151, 211, 158, 218)(152, 212, 159, 219)(154, 214, 165, 225)(156, 216, 167, 227)(161, 221, 172, 232)(162, 222, 169, 229)(163, 223, 170, 230)(164, 224, 171, 231)(166, 226, 176, 236)(168, 228, 177, 237)(173, 233, 180, 240)(174, 234, 178, 238)(175, 235, 179, 239)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 141)(9, 143)(10, 122)(11, 145)(12, 147)(13, 123)(14, 149)(15, 127)(16, 130)(17, 125)(18, 126)(19, 146)(20, 154)(21, 144)(22, 128)(23, 156)(24, 157)(25, 158)(26, 131)(27, 159)(28, 133)(29, 161)(30, 136)(31, 137)(32, 138)(33, 139)(34, 166)(35, 142)(36, 168)(37, 169)(38, 170)(39, 171)(40, 148)(41, 173)(42, 150)(43, 151)(44, 152)(45, 153)(46, 175)(47, 155)(48, 174)(49, 178)(50, 179)(51, 180)(52, 160)(53, 164)(54, 162)(55, 163)(56, 165)(57, 167)(58, 177)(59, 176)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1469
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 15})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3, Y1^-1), (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-3, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-1 * Y3^-1 * Y1^2, Y1^3 * Y3 * Y1 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 35, 95, 50, 110, 34, 94, 18, 78, 14, 74, 25, 85, 41, 101, 48, 108, 32, 92, 16, 76, 5, 65)(3, 63, 11, 71, 26, 86, 43, 103, 56, 116, 55, 115, 42, 102, 30, 90, 29, 89, 46, 106, 59, 119, 51, 111, 36, 96, 20, 80, 8, 68)(4, 64, 9, 69, 21, 81, 37, 97, 49, 109, 33, 93, 17, 77, 6, 66, 10, 70, 22, 82, 38, 98, 52, 112, 47, 107, 31, 91, 15, 75)(12, 72, 27, 87, 44, 104, 57, 117, 54, 114, 40, 100, 24, 84, 13, 73, 28, 88, 45, 105, 58, 118, 60, 120, 53, 113, 39, 99, 23, 83)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 150, 210)(135, 195, 148, 208)(136, 196, 146, 206)(137, 197, 147, 207)(138, 198, 149, 209)(139, 199, 156, 216)(141, 201, 160, 220)(142, 202, 159, 219)(145, 205, 162, 222)(151, 211, 165, 225)(152, 212, 163, 223)(153, 213, 164, 224)(154, 214, 166, 226)(155, 215, 171, 231)(157, 217, 174, 234)(158, 218, 173, 233)(161, 221, 175, 235)(167, 227, 178, 238)(168, 228, 176, 236)(169, 229, 177, 237)(170, 230, 179, 239)(172, 232, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 147)(12, 149)(13, 123)(14, 130)(15, 138)(16, 151)(17, 125)(18, 126)(19, 157)(20, 159)(21, 161)(22, 127)(23, 150)(24, 128)(25, 142)(26, 164)(27, 166)(28, 131)(29, 148)(30, 133)(31, 154)(32, 167)(33, 136)(34, 137)(35, 169)(36, 173)(37, 168)(38, 139)(39, 162)(40, 140)(41, 158)(42, 144)(43, 177)(44, 179)(45, 146)(46, 165)(47, 170)(48, 172)(49, 152)(50, 153)(51, 180)(52, 155)(53, 175)(54, 156)(55, 160)(56, 174)(57, 171)(58, 163)(59, 178)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E24.1470
Graph:: simple bipartite
	v = 34 e = 120 f = 40
	degree seq :: [ 4^30, 30^4 ]

E24.1473 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1 * T2^2, T1^-1 * T2^2 * T1^-3 * T2^2, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 23, 52, 60, 56, 51, 59, 44, 25, 43, 17, 5)(2, 7, 22, 28, 9, 27, 57, 41, 29, 58, 39, 15, 38, 26, 8)(4, 12, 35, 34, 11, 32, 47, 42, 31, 45, 18, 16, 40, 37, 14)(6, 19, 46, 49, 21, 13, 33, 55, 50, 36, 54, 24, 53, 48, 20)(61, 62, 66, 78, 104, 99, 114, 92, 112, 87, 73, 64)(63, 69, 79, 74, 85, 68, 84, 105, 120, 118, 93, 71)(65, 75, 80, 107, 119, 117, 96, 72, 83, 67, 81, 76)(70, 89, 106, 94, 103, 88, 113, 97, 116, 86, 115, 91)(77, 101, 108, 95, 111, 82, 110, 100, 90, 98, 109, 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) :: { ( 24^12 ), ( 24^15 ) }
Outer automorphisms :: reflexible
Dual of E24.1474
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 12^5, 15^4 ]

E24.1474 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^2 * T1^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 6, 66, 15, 75, 26, 86, 43, 103, 56, 116, 53, 113, 37, 97, 23, 83, 11, 71, 5, 65)(2, 62, 7, 67, 14, 74, 27, 87, 42, 102, 57, 117, 52, 112, 38, 98, 22, 82, 12, 72, 4, 64, 8, 68)(9, 69, 19, 79, 28, 88, 45, 105, 58, 118, 55, 115, 39, 99, 25, 85, 13, 73, 21, 81, 10, 70, 20, 80)(16, 76, 29, 89, 44, 104, 59, 119, 54, 114, 40, 100, 24, 84, 32, 92, 18, 78, 31, 91, 17, 77, 30, 90)(33, 93, 49, 109, 60, 120, 48, 108, 41, 101, 47, 107, 36, 96, 46, 106, 35, 95, 51, 111, 34, 94, 50, 110)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 70)(6, 74)(7, 76)(8, 77)(9, 75)(10, 63)(11, 64)(12, 78)(13, 65)(14, 86)(15, 88)(16, 87)(17, 67)(18, 68)(19, 93)(20, 94)(21, 95)(22, 71)(23, 73)(24, 72)(25, 96)(26, 102)(27, 104)(28, 103)(29, 106)(30, 107)(31, 108)(32, 109)(33, 105)(34, 79)(35, 80)(36, 81)(37, 82)(38, 84)(39, 83)(40, 110)(41, 85)(42, 116)(43, 118)(44, 117)(45, 120)(46, 119)(47, 89)(48, 90)(49, 91)(50, 92)(51, 100)(52, 97)(53, 99)(54, 98)(55, 101)(56, 112)(57, 114)(58, 113)(59, 111)(60, 115)
	local type(s) :: { ( 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15 ) }
Outer automorphisms :: reflexible
Dual of E24.1473
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 60 f = 9
	degree seq :: [ 24^5 ]

E24.1475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-3 * Y2^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2^4 * Y1 * Y2^-1, Y1^-2 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, (Y2 * Y1^-1)^4, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 44, 104, 39, 99, 54, 114, 32, 92, 52, 112, 27, 87, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 14, 74, 25, 85, 8, 68, 24, 84, 45, 105, 60, 120, 58, 118, 33, 93, 11, 71)(5, 65, 15, 75, 20, 80, 47, 107, 59, 119, 57, 117, 36, 96, 12, 72, 23, 83, 7, 67, 21, 81, 16, 76)(10, 70, 29, 89, 46, 106, 34, 94, 43, 103, 28, 88, 53, 113, 37, 97, 56, 116, 26, 86, 55, 115, 31, 91)(17, 77, 41, 101, 48, 108, 35, 95, 51, 111, 22, 82, 50, 110, 40, 100, 30, 90, 38, 98, 49, 109, 42, 102)(121, 181, 123, 183, 130, 190, 150, 210, 143, 203, 172, 232, 180, 240, 176, 236, 171, 231, 179, 239, 164, 224, 145, 205, 163, 223, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 148, 208, 129, 189, 147, 207, 177, 237, 161, 221, 149, 209, 178, 238, 159, 219, 135, 195, 158, 218, 146, 206, 128, 188)(124, 184, 132, 192, 155, 215, 154, 214, 131, 191, 152, 212, 167, 227, 162, 222, 151, 211, 165, 225, 138, 198, 136, 196, 160, 220, 157, 217, 134, 194)(126, 186, 139, 199, 166, 226, 169, 229, 141, 201, 133, 193, 153, 213, 175, 235, 170, 230, 156, 216, 174, 234, 144, 204, 173, 233, 168, 228, 140, 200)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 152)(12, 155)(13, 153)(14, 124)(15, 158)(16, 160)(17, 125)(18, 136)(19, 166)(20, 126)(21, 133)(22, 148)(23, 172)(24, 173)(25, 163)(26, 128)(27, 177)(28, 129)(29, 178)(30, 143)(31, 165)(32, 167)(33, 175)(34, 131)(35, 154)(36, 174)(37, 134)(38, 146)(39, 135)(40, 157)(41, 149)(42, 151)(43, 137)(44, 145)(45, 138)(46, 169)(47, 162)(48, 140)(49, 141)(50, 156)(51, 179)(52, 180)(53, 168)(54, 144)(55, 170)(56, 171)(57, 161)(58, 159)(59, 164)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 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 E24.1476
Graph:: bipartite
	v = 9 e = 120 f = 65
	degree seq :: [ 24^5, 30^4 ]

E24.1476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^3 * Y3^-1 * Y2, Y2^-2 * Y3 * Y2^2 * Y3^-1, (R * Y2^-2)^2, Y2^-1 * Y3^4 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1 * Y3)^4, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 138, 198, 164, 224, 147, 207, 169, 229, 160, 220, 174, 234, 154, 214, 133, 193, 124, 184)(123, 183, 129, 189, 139, 199, 166, 226, 179, 239, 178, 238, 156, 216, 134, 194, 145, 205, 128, 188, 144, 204, 131, 191)(125, 185, 135, 195, 140, 200, 132, 192, 143, 203, 127, 187, 141, 201, 165, 225, 180, 240, 177, 237, 155, 215, 136, 196)(130, 190, 149, 209, 167, 227, 157, 217, 176, 236, 146, 206, 175, 235, 152, 212, 163, 223, 148, 208, 173, 233, 151, 211)(137, 197, 161, 221, 168, 228, 159, 219, 150, 210, 158, 218, 170, 230, 153, 213, 172, 232, 142, 202, 171, 231, 162, 222)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 138)(12, 153)(13, 144)(14, 124)(15, 158)(16, 159)(17, 125)(18, 165)(19, 167)(20, 126)(21, 169)(22, 148)(23, 164)(24, 173)(25, 163)(26, 128)(27, 177)(28, 129)(29, 178)(30, 143)(31, 166)(32, 131)(33, 152)(34, 135)(35, 133)(36, 175)(37, 134)(38, 146)(39, 157)(40, 136)(41, 149)(42, 151)(43, 137)(44, 179)(45, 162)(46, 160)(47, 170)(48, 140)(49, 156)(50, 141)(51, 155)(52, 180)(53, 168)(54, 145)(55, 171)(56, 172)(57, 161)(58, 154)(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) :: { ( 24, 30 ), ( 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1475
Graph:: simple bipartite
	v = 65 e = 120 f = 9
	degree seq :: [ 2^60, 24^5 ]

E24.1477 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {12, 12, 15})
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 :: [ X1 * X2^-1 * X1^-1 * X2^-2, (X1 * X2 * X1)^2, (X1^2 * X2)^2, X1^-1 * X2^-1 * X1^3 * X2^-2 * X1^-2, X2^15, (X1^-2 * X2)^6 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 41, 59, 52, 60, 57, 34, 13, 4)(3, 9, 25, 50, 46, 22, 20, 38, 55, 49, 29, 11)(5, 15, 36, 30, 53, 45, 33, 56, 48, 24, 19, 16)(7, 21, 14, 35, 58, 43, 42, 27, 26, 51, 39, 17)(8, 23, 47, 40, 37, 32, 12, 31, 54, 44, 28, 10)(61, 63, 70, 87, 108, 117, 115, 91, 95, 113, 101, 106, 100, 77, 65)(62, 67, 82, 105, 114, 94, 86, 69, 75, 97, 119, 118, 109, 84, 68)(64, 72, 76, 98, 99, 120, 107, 116, 110, 102, 78, 88, 90, 71, 74)(66, 79, 103, 92, 85, 73, 93, 81, 83, 89, 112, 96, 111, 104, 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) :: { ( 24^12 ), ( 24^15 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 60 f = 5
	degree seq :: [ 12^5, 15^4 ]

E24.1478 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {12, 12, 15})
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 :: [ (X1 * X2^-1)^2, X1^-1 * X2^-2 * X1^-2 * X2^-1, X2^-1 * X1^-1 * X2^-2 * X1^-2, X2^-2 * X1^4 * X2^-2, X2 * X1^3 * X2 * X1^-5, X2^12 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 16, 76, 34, 94, 53, 113, 52, 112, 60, 120, 51, 111, 31, 91, 12, 72, 4, 64)(3, 63, 9, 69, 23, 83, 42, 102, 54, 114, 49, 109, 29, 89, 50, 110, 33, 93, 40, 100, 21, 81, 8, 68)(5, 65, 11, 71, 28, 88, 48, 108, 27, 87, 35, 95, 55, 115, 39, 99, 58, 118, 45, 105, 24, 84, 14, 74)(7, 67, 19, 79, 15, 75, 32, 92, 46, 106, 25, 85, 10, 70, 26, 86, 44, 104, 57, 117, 38, 98, 18, 78)(13, 73, 30, 90, 47, 107, 56, 116, 36, 96, 17, 77, 37, 97, 22, 82, 43, 103, 59, 119, 41, 101, 20, 80)
	L = (1, 63)(2, 67)(3, 70)(4, 71)(5, 61)(6, 77)(7, 80)(8, 62)(9, 84)(10, 87)(11, 89)(12, 90)(13, 64)(14, 92)(15, 65)(16, 95)(17, 74)(18, 66)(19, 100)(20, 102)(21, 103)(22, 68)(23, 73)(24, 97)(25, 69)(26, 72)(27, 94)(28, 101)(29, 96)(30, 99)(31, 104)(32, 112)(33, 75)(34, 114)(35, 81)(36, 76)(37, 117)(38, 118)(39, 78)(40, 115)(41, 79)(42, 113)(43, 120)(44, 82)(45, 83)(46, 116)(47, 85)(48, 86)(49, 88)(50, 91)(51, 93)(52, 119)(53, 106)(54, 98)(55, 107)(56, 110)(57, 109)(58, 111)(59, 108)(60, 105)
	local type(s) :: { ( 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 60 f = 9
	degree seq :: [ 24^5 ]

E24.1479 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {12, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ F^2, F * T2 * F * T1, (T2^-1 * T1)^2, T2^-2 * T1^-2 * T2^-1 * T1^-1, T2^4 * T1^-4, T2^2 * T1^6 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 34, 54, 38, 58, 51, 33, 15, 5)(2, 7, 20, 42, 53, 46, 56, 50, 31, 44, 22, 8)(4, 11, 29, 36, 16, 35, 21, 43, 60, 45, 23, 13)(6, 17, 14, 32, 52, 59, 48, 26, 12, 30, 39, 18)(9, 24, 37, 57, 49, 28, 41, 19, 40, 55, 47, 25)(61, 62, 66, 76, 94, 113, 112, 120, 111, 91, 72, 64)(63, 69, 83, 102, 114, 109, 89, 110, 93, 100, 81, 68)(65, 71, 88, 108, 87, 95, 115, 99, 118, 105, 84, 74)(67, 79, 75, 92, 106, 85, 70, 86, 104, 117, 98, 78)(73, 90, 107, 116, 96, 77, 97, 82, 103, 119, 101, 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) :: { ( 30^12 ) }
Outer automorphisms :: reflexible
Dual of E24.1480
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 12^10 ]

E24.1480 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {12, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ F^2, (T2 * F)^2, F * T1 * T2 * F * T1^-1, T2 * T1^-1 * T2^2 * T1, (T1 * T2 * T1)^2, T1 * T2^-2 * T1^-3 * T2^-1 * T1^2, T2^15, (T1^-2 * T2)^6 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 27, 87, 48, 108, 57, 117, 55, 115, 31, 91, 35, 95, 53, 113, 41, 101, 46, 106, 40, 100, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 45, 105, 54, 114, 34, 94, 26, 86, 9, 69, 15, 75, 37, 97, 59, 119, 58, 118, 49, 109, 24, 84, 8, 68)(4, 64, 12, 72, 16, 76, 38, 98, 39, 99, 60, 120, 47, 107, 56, 116, 50, 110, 42, 102, 18, 78, 28, 88, 30, 90, 11, 71, 14, 74)(6, 66, 19, 79, 43, 103, 32, 92, 25, 85, 13, 73, 33, 93, 21, 81, 23, 83, 29, 89, 52, 112, 36, 96, 51, 111, 44, 104, 20, 80)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 83)(9, 85)(10, 68)(11, 63)(12, 91)(13, 64)(14, 95)(15, 96)(16, 65)(17, 67)(18, 101)(19, 76)(20, 98)(21, 74)(22, 80)(23, 107)(24, 79)(25, 110)(26, 111)(27, 86)(28, 70)(29, 71)(30, 113)(31, 114)(32, 72)(33, 116)(34, 73)(35, 118)(36, 90)(37, 92)(38, 115)(39, 77)(40, 97)(41, 119)(42, 87)(43, 102)(44, 88)(45, 93)(46, 82)(47, 100)(48, 84)(49, 89)(50, 106)(51, 99)(52, 120)(53, 105)(54, 104)(55, 109)(56, 108)(57, 94)(58, 103)(59, 112)(60, 117)
	local type(s) :: { ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1479
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 60 f = 10
	degree seq :: [ 30^4 ]

E24.1481 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {12, 12, 15})
Quotient :: edge^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y1^-1)^2, R * Y1 * R * Y2, Y2^3 * Y1 * Y3 * Y1^-2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-3, Y2^-1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y3, Y2^12, Y1^12, Y3^15 ]
Map:: polytopal non-degenerate
	R = (1, 61, 4, 64, 16, 76, 41, 101, 58, 118, 60, 120, 47, 107, 20, 80, 12, 72, 35, 95, 52, 112, 57, 117, 29, 89, 25, 85, 7, 67)(2, 62, 9, 69, 30, 90, 36, 96, 45, 105, 46, 106, 23, 83, 6, 66, 21, 81, 48, 108, 59, 119, 34, 94, 54, 114, 33, 93, 11, 71)(3, 63, 5, 65, 18, 78, 24, 84, 51, 111, 50, 110, 56, 116, 32, 92, 37, 97, 42, 102, 53, 113, 26, 86, 40, 100, 15, 75, 14, 74)(8, 68, 27, 87, 44, 104, 43, 103, 17, 77, 19, 79, 13, 73, 10, 70, 31, 91, 38, 98, 39, 99, 22, 82, 49, 109, 55, 115, 28, 88)(121, 122, 128, 146, 172, 179, 159, 176, 180, 166, 139, 125)(123, 132, 154, 164, 173, 161, 143, 169, 170, 145, 129, 130)(124, 126, 137, 162, 177, 150, 148, 171, 167, 174, 158, 134)(127, 141, 142, 135, 155, 156, 133, 157, 178, 153, 147, 144)(131, 151, 152, 149, 168, 163, 138, 140, 165, 175, 160, 136)(181, 183, 193, 210, 232, 233, 207, 234, 240, 230, 202, 186)(182, 187, 198, 224, 239, 215, 220, 229, 226, 238, 212, 190)(184, 195, 219, 228, 237, 217, 199, 225, 227, 204, 188, 191)(185, 197, 203, 196, 206, 208, 189, 209, 236, 218, 214, 200)(192, 194, 211, 213, 221, 222, 223, 201, 205, 231, 235, 216)
	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 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1484
Graph:: bipartite
	v = 14 e = 120 f = 60
	degree seq :: [ 12^10, 30^4 ]

E24.1482 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {12, 12, 15})
Quotient :: edge^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2^-1)^2, Y2 * Y1^2 * Y2^2 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2^4 * Y1^-4, Y1^-2 * Y2^-1 * Y1^5 * Y2^-1 * Y1^-1, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^15 ]
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, 122, 126, 136, 154, 173, 172, 180, 171, 151, 132, 124)(123, 129, 143, 162, 174, 169, 149, 170, 153, 160, 141, 128)(125, 131, 148, 168, 147, 155, 175, 159, 178, 165, 144, 134)(127, 139, 135, 152, 166, 145, 130, 146, 164, 177, 158, 138)(133, 150, 167, 176, 156, 137, 157, 142, 163, 179, 161, 140)(181, 183, 190, 207, 214, 234, 218, 238, 231, 213, 195, 185)(182, 187, 200, 222, 233, 226, 236, 230, 211, 224, 202, 188)(184, 191, 209, 216, 196, 215, 201, 223, 240, 225, 203, 193)(186, 197, 194, 212, 232, 239, 228, 206, 192, 210, 219, 198)(189, 204, 217, 237, 229, 208, 221, 199, 220, 235, 227, 205)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^12 ) }
Outer automorphisms :: reflexible
Dual of E24.1483
Graph:: simple bipartite
	v = 70 e = 120 f = 4
	degree seq :: [ 2^60, 12^10 ]

E24.1483 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {12, 12, 15})
Quotient :: loop^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y1^-1)^2, R * Y1 * R * Y2, Y2^3 * Y1 * Y3 * Y1^-2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-3, Y2^-1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y3, Y2^12, Y1^12, Y3^15 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 16, 76, 136, 196, 41, 101, 161, 221, 58, 118, 178, 238, 60, 120, 180, 240, 47, 107, 167, 227, 20, 80, 140, 200, 12, 72, 132, 192, 35, 95, 155, 215, 52, 112, 172, 232, 57, 117, 177, 237, 29, 89, 149, 209, 25, 85, 145, 205, 7, 67, 127, 187)(2, 62, 122, 182, 9, 69, 129, 189, 30, 90, 150, 210, 36, 96, 156, 216, 45, 105, 165, 225, 46, 106, 166, 226, 23, 83, 143, 203, 6, 66, 126, 186, 21, 81, 141, 201, 48, 108, 168, 228, 59, 119, 179, 239, 34, 94, 154, 214, 54, 114, 174, 234, 33, 93, 153, 213, 11, 71, 131, 191)(3, 63, 123, 183, 5, 65, 125, 185, 18, 78, 138, 198, 24, 84, 144, 204, 51, 111, 171, 231, 50, 110, 170, 230, 56, 116, 176, 236, 32, 92, 152, 212, 37, 97, 157, 217, 42, 102, 162, 222, 53, 113, 173, 233, 26, 86, 146, 206, 40, 100, 160, 220, 15, 75, 135, 195, 14, 74, 134, 194)(8, 68, 128, 188, 27, 87, 147, 207, 44, 104, 164, 224, 43, 103, 163, 223, 17, 77, 137, 197, 19, 79, 139, 199, 13, 73, 133, 193, 10, 70, 130, 190, 31, 91, 151, 211, 38, 98, 158, 218, 39, 99, 159, 219, 22, 82, 142, 202, 49, 109, 169, 229, 55, 115, 175, 235, 28, 88, 148, 208)
	L = (1, 62)(2, 68)(3, 72)(4, 66)(5, 61)(6, 77)(7, 81)(8, 86)(9, 70)(10, 63)(11, 91)(12, 94)(13, 97)(14, 64)(15, 95)(16, 71)(17, 102)(18, 80)(19, 65)(20, 105)(21, 82)(22, 75)(23, 109)(24, 67)(25, 69)(26, 112)(27, 84)(28, 111)(29, 108)(30, 88)(31, 92)(32, 89)(33, 87)(34, 104)(35, 96)(36, 73)(37, 118)(38, 74)(39, 116)(40, 76)(41, 83)(42, 117)(43, 78)(44, 113)(45, 115)(46, 79)(47, 114)(48, 103)(49, 110)(50, 85)(51, 107)(52, 119)(53, 101)(54, 98)(55, 100)(56, 120)(57, 90)(58, 93)(59, 99)(60, 106)(121, 183)(122, 187)(123, 193)(124, 195)(125, 197)(126, 181)(127, 198)(128, 191)(129, 209)(130, 182)(131, 184)(132, 194)(133, 210)(134, 211)(135, 219)(136, 206)(137, 203)(138, 224)(139, 225)(140, 185)(141, 205)(142, 186)(143, 196)(144, 188)(145, 231)(146, 208)(147, 234)(148, 189)(149, 236)(150, 232)(151, 213)(152, 190)(153, 221)(154, 200)(155, 220)(156, 192)(157, 199)(158, 214)(159, 228)(160, 229)(161, 222)(162, 223)(163, 201)(164, 239)(165, 227)(166, 238)(167, 204)(168, 237)(169, 226)(170, 202)(171, 235)(172, 233)(173, 207)(174, 240)(175, 216)(176, 218)(177, 217)(178, 212)(179, 215)(180, 230)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1482
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 70
	degree seq :: [ 60^4 ]

E24.1484 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {12, 12, 15})
Quotient :: loop^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2^-1)^2, Y2 * Y1^2 * Y2^2 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2^4 * Y1^-4, Y1^-2 * Y2^-1 * Y1^5 * Y2^-1 * Y1^-1, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^15 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181)(2, 62, 122, 182)(3, 63, 123, 183)(4, 64, 124, 184)(5, 65, 125, 185)(6, 66, 126, 186)(7, 67, 127, 187)(8, 68, 128, 188)(9, 69, 129, 189)(10, 70, 130, 190)(11, 71, 131, 191)(12, 72, 132, 192)(13, 73, 133, 193)(14, 74, 134, 194)(15, 75, 135, 195)(16, 76, 136, 196)(17, 77, 137, 197)(18, 78, 138, 198)(19, 79, 139, 199)(20, 80, 140, 200)(21, 81, 141, 201)(22, 82, 142, 202)(23, 83, 143, 203)(24, 84, 144, 204)(25, 85, 145, 205)(26, 86, 146, 206)(27, 87, 147, 207)(28, 88, 148, 208)(29, 89, 149, 209)(30, 90, 150, 210)(31, 91, 151, 211)(32, 92, 152, 212)(33, 93, 153, 213)(34, 94, 154, 214)(35, 95, 155, 215)(36, 96, 156, 216)(37, 97, 157, 217)(38, 98, 158, 218)(39, 99, 159, 219)(40, 100, 160, 220)(41, 101, 161, 221)(42, 102, 162, 222)(43, 103, 163, 223)(44, 104, 164, 224)(45, 105, 165, 225)(46, 106, 166, 226)(47, 107, 167, 227)(48, 108, 168, 228)(49, 109, 169, 229)(50, 110, 170, 230)(51, 111, 171, 231)(52, 112, 172, 232)(53, 113, 173, 233)(54, 114, 174, 234)(55, 115, 175, 235)(56, 116, 176, 236)(57, 117, 177, 237)(58, 118, 178, 238)(59, 119, 179, 239)(60, 120, 180, 240)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 71)(6, 76)(7, 79)(8, 63)(9, 83)(10, 86)(11, 88)(12, 64)(13, 90)(14, 65)(15, 92)(16, 94)(17, 97)(18, 67)(19, 75)(20, 73)(21, 68)(22, 103)(23, 102)(24, 74)(25, 70)(26, 104)(27, 95)(28, 108)(29, 110)(30, 107)(31, 72)(32, 106)(33, 100)(34, 113)(35, 115)(36, 77)(37, 82)(38, 78)(39, 118)(40, 81)(41, 80)(42, 114)(43, 119)(44, 117)(45, 84)(46, 85)(47, 116)(48, 87)(49, 89)(50, 93)(51, 91)(52, 120)(53, 112)(54, 109)(55, 99)(56, 96)(57, 98)(58, 105)(59, 101)(60, 111)(121, 183)(122, 187)(123, 190)(124, 191)(125, 181)(126, 197)(127, 200)(128, 182)(129, 204)(130, 207)(131, 209)(132, 210)(133, 184)(134, 212)(135, 185)(136, 215)(137, 194)(138, 186)(139, 220)(140, 222)(141, 223)(142, 188)(143, 193)(144, 217)(145, 189)(146, 192)(147, 214)(148, 221)(149, 216)(150, 219)(151, 224)(152, 232)(153, 195)(154, 234)(155, 201)(156, 196)(157, 237)(158, 238)(159, 198)(160, 235)(161, 199)(162, 233)(163, 240)(164, 202)(165, 203)(166, 236)(167, 205)(168, 206)(169, 208)(170, 211)(171, 213)(172, 239)(173, 226)(174, 218)(175, 227)(176, 230)(177, 229)(178, 231)(179, 228)(180, 225)
	local type(s) :: { ( 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1481
Transitivity :: VT+
Graph:: simple bipartite
	v = 60 e = 120 f = 14
	degree seq :: [ 4^60 ]

E24.1485 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 15})
Quotient :: edge
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, (T1 * T2^-1)^3, T1 * T2 * T1 * T2^-2 * T1 * T2^-2, (T2^-1, T1^-1)^2, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 10, 13, 28, 51, 54, 60, 59, 38, 41, 19, 6, 17, 5)(2, 7, 14, 4, 12, 30, 32, 53, 49, 58, 57, 39, 18, 24, 8)(9, 25, 29, 11, 22, 45, 47, 23, 46, 56, 33, 55, 37, 50, 26)(15, 34, 36, 16, 35, 48, 27, 43, 20, 42, 44, 21, 40, 52, 31)(61, 62, 66, 78, 98, 118, 114, 92, 73, 64)(63, 69, 77, 97, 101, 116, 120, 107, 88, 71)(65, 75, 79, 100, 119, 102, 111, 87, 70, 76)(67, 80, 84, 108, 117, 96, 113, 91, 72, 81)(68, 82, 99, 85, 109, 110, 90, 93, 74, 83)(86, 103, 115, 95, 106, 94, 105, 112, 89, 104)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^10 ), ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E24.1491
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 10^6, 15^4 ]

E24.1486 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 15})
Quotient :: edge
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^3 * T1^4, (T1, T2, T1), T1^2 * T2^-6, T1^-1 * T2 * 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 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 46, 20, 6, 19, 36, 13, 31, 55, 43, 17, 5)(2, 7, 22, 35, 59, 44, 18, 38, 14, 4, 12, 33, 54, 26, 8)(9, 24, 50, 56, 37, 60, 42, 58, 32, 11, 25, 51, 41, 48, 27)(15, 39, 52, 28, 47, 21, 45, 57, 34, 16, 40, 53, 30, 49, 23)(61, 62, 66, 78, 103, 114, 89, 95, 73, 64)(63, 69, 79, 102, 77, 101, 106, 116, 91, 71)(65, 75, 80, 105, 115, 90, 70, 88, 96, 76)(67, 81, 98, 113, 86, 112, 119, 94, 72, 83)(68, 84, 104, 118, 93, 108, 82, 97, 74, 85)(87, 107, 120, 100, 111, 99, 110, 117, 92, 109)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^10 ), ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E24.1490
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 10^6, 15^4 ]

E24.1487 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 15})
Quotient :: edge
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^3 * T1^-4, (T1, T2^-1, T1), T1^2 * T2^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 55, 37, 13, 32, 20, 6, 19, 46, 43, 17, 5)(2, 7, 22, 49, 38, 14, 4, 12, 34, 18, 44, 59, 36, 26, 8)(9, 25, 53, 42, 50, 33, 11, 31, 58, 45, 24, 52, 41, 48, 27)(15, 39, 54, 28, 51, 23, 16, 40, 57, 30, 56, 35, 60, 47, 21)(61, 62, 66, 78, 89, 109, 103, 96, 73, 64)(63, 69, 79, 105, 115, 102, 77, 101, 92, 71)(65, 75, 80, 90, 70, 88, 106, 120, 97, 76)(67, 81, 104, 117, 98, 114, 86, 95, 72, 83)(68, 84, 94, 110, 82, 108, 119, 91, 74, 85)(87, 107, 118, 100, 113, 99, 112, 116, 93, 111)
	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) :: { ( 30^10 ), ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E24.1489
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 10^6, 15^4 ]

E24.1488 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 15})
Quotient :: edge
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, (T1^2 * T2^-1)^2, T2^-1 * T1^-3 * T2 * T1^3, T1^3 * T2^6, (T1 * T2^2)^3 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 52, 53, 32, 45, 43, 18, 42, 60, 40, 17, 5)(2, 7, 21, 47, 54, 33, 13, 31, 30, 41, 50, 57, 38, 16, 8)(4, 12, 9, 26, 49, 58, 48, 24, 20, 6, 19, 44, 56, 35, 14)(11, 29, 27, 51, 55, 37, 34, 23, 22, 25, 46, 59, 39, 36, 15)(61, 62, 66, 78, 101, 86, 88, 107, 116, 100, 98, 108, 92, 73, 64)(63, 69, 85, 102, 104, 111, 112, 118, 99, 77, 74, 94, 105, 80, 71)(65, 75, 91, 103, 82, 67, 70, 87, 110, 120, 119, 114, 113, 97, 76)(68, 83, 72, 90, 89, 79, 81, 106, 109, 117, 115, 95, 93, 96, 84)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^15 ) }
Outer automorphisms :: reflexible
Dual of E24.1492
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 15^8 ]

E24.1489 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 15})
Quotient :: loop
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, (T1 * T2^-1)^3, T1 * T2 * T1 * T2^-2 * T1 * T2^-2, (T2^-1, T1^-1)^2, T1^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 13, 73, 28, 88, 51, 111, 54, 114, 60, 120, 59, 119, 38, 98, 41, 101, 19, 79, 6, 66, 17, 77, 5, 65)(2, 62, 7, 67, 14, 74, 4, 64, 12, 72, 30, 90, 32, 92, 53, 113, 49, 109, 58, 118, 57, 117, 39, 99, 18, 78, 24, 84, 8, 68)(9, 69, 25, 85, 29, 89, 11, 71, 22, 82, 45, 105, 47, 107, 23, 83, 46, 106, 56, 116, 33, 93, 55, 115, 37, 97, 50, 110, 26, 86)(15, 75, 34, 94, 36, 96, 16, 76, 35, 95, 48, 108, 27, 87, 43, 103, 20, 80, 42, 102, 44, 104, 21, 81, 40, 100, 52, 112, 31, 91)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 80)(8, 82)(9, 77)(10, 76)(11, 63)(12, 81)(13, 64)(14, 83)(15, 79)(16, 65)(17, 97)(18, 98)(19, 100)(20, 84)(21, 67)(22, 99)(23, 68)(24, 108)(25, 109)(26, 103)(27, 70)(28, 71)(29, 104)(30, 93)(31, 72)(32, 73)(33, 74)(34, 105)(35, 106)(36, 113)(37, 101)(38, 118)(39, 85)(40, 119)(41, 116)(42, 111)(43, 115)(44, 86)(45, 112)(46, 94)(47, 88)(48, 117)(49, 110)(50, 90)(51, 87)(52, 89)(53, 91)(54, 92)(55, 95)(56, 120)(57, 96)(58, 114)(59, 102)(60, 107)
	local type(s) :: { ( 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E24.1487
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 60 f = 10
	degree seq :: [ 30^4 ]

E24.1490 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 15})
Quotient :: loop
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^3 * T1^4, (T1, T2, T1), T1^2 * T2^-6, T1^-1 * T2 * 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 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 29, 89, 46, 106, 20, 80, 6, 66, 19, 79, 36, 96, 13, 73, 31, 91, 55, 115, 43, 103, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 35, 95, 59, 119, 44, 104, 18, 78, 38, 98, 14, 74, 4, 64, 12, 72, 33, 93, 54, 114, 26, 86, 8, 68)(9, 69, 24, 84, 50, 110, 56, 116, 37, 97, 60, 120, 42, 102, 58, 118, 32, 92, 11, 71, 25, 85, 51, 111, 41, 101, 48, 108, 27, 87)(15, 75, 39, 99, 52, 112, 28, 88, 47, 107, 21, 81, 45, 105, 57, 117, 34, 94, 16, 76, 40, 100, 53, 113, 30, 90, 49, 109, 23, 83)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 79)(10, 88)(11, 63)(12, 83)(13, 64)(14, 85)(15, 80)(16, 65)(17, 101)(18, 103)(19, 102)(20, 105)(21, 98)(22, 97)(23, 67)(24, 104)(25, 68)(26, 112)(27, 107)(28, 96)(29, 95)(30, 70)(31, 71)(32, 109)(33, 108)(34, 72)(35, 73)(36, 76)(37, 74)(38, 113)(39, 110)(40, 111)(41, 106)(42, 77)(43, 114)(44, 118)(45, 115)(46, 116)(47, 120)(48, 82)(49, 87)(50, 117)(51, 99)(52, 119)(53, 86)(54, 89)(55, 90)(56, 91)(57, 92)(58, 93)(59, 94)(60, 100)
	local type(s) :: { ( 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E24.1486
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 60 f = 10
	degree seq :: [ 30^4 ]

E24.1491 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 15})
Quotient :: loop
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^3 * T1^-4, (T1, T2^-1, T1), T1^2 * T2^6 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 29, 89, 55, 115, 37, 97, 13, 73, 32, 92, 20, 80, 6, 66, 19, 79, 46, 106, 43, 103, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 49, 109, 38, 98, 14, 74, 4, 64, 12, 72, 34, 94, 18, 78, 44, 104, 59, 119, 36, 96, 26, 86, 8, 68)(9, 69, 25, 85, 53, 113, 42, 102, 50, 110, 33, 93, 11, 71, 31, 91, 58, 118, 45, 105, 24, 84, 52, 112, 41, 101, 48, 108, 27, 87)(15, 75, 39, 99, 54, 114, 28, 88, 51, 111, 23, 83, 16, 76, 40, 100, 57, 117, 30, 90, 56, 116, 35, 95, 60, 120, 47, 107, 21, 81)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 79)(10, 88)(11, 63)(12, 83)(13, 64)(14, 85)(15, 80)(16, 65)(17, 101)(18, 89)(19, 105)(20, 90)(21, 104)(22, 108)(23, 67)(24, 94)(25, 68)(26, 95)(27, 107)(28, 106)(29, 109)(30, 70)(31, 74)(32, 71)(33, 111)(34, 110)(35, 72)(36, 73)(37, 76)(38, 114)(39, 112)(40, 113)(41, 92)(42, 77)(43, 96)(44, 117)(45, 115)(46, 120)(47, 118)(48, 119)(49, 103)(50, 82)(51, 87)(52, 116)(53, 99)(54, 86)(55, 102)(56, 93)(57, 98)(58, 100)(59, 91)(60, 97)
	local type(s) :: { ( 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E24.1485
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 60 f = 10
	degree seq :: [ 30^4 ]

E24.1492 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 15})
Quotient :: loop
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^2 * T1, (T1 * T2^-1)^3, T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^2, T2^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 26, 86, 50, 110, 58, 118, 57, 117, 37, 97, 17, 77, 5, 65)(2, 62, 7, 67, 13, 73, 32, 92, 51, 111, 56, 116, 59, 119, 47, 107, 23, 83, 8, 68)(4, 64, 12, 72, 27, 87, 49, 109, 60, 120, 48, 108, 40, 100, 18, 78, 6, 66, 14, 74)(9, 69, 24, 84, 28, 88, 39, 99, 55, 115, 34, 94, 53, 113, 31, 91, 15, 75, 25, 85)(11, 71, 21, 81, 42, 102, 19, 79, 41, 101, 43, 103, 35, 95, 36, 96, 16, 76, 29, 89)(20, 80, 38, 98, 54, 114, 33, 93, 52, 112, 30, 90, 45, 105, 46, 106, 22, 82, 44, 104)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 77)(7, 79)(8, 81)(9, 76)(10, 73)(11, 63)(12, 90)(13, 64)(14, 93)(15, 95)(16, 65)(17, 83)(18, 98)(19, 82)(20, 67)(21, 105)(22, 68)(23, 100)(24, 108)(25, 109)(26, 88)(27, 70)(28, 71)(29, 112)(30, 94)(31, 72)(32, 103)(33, 99)(34, 74)(35, 97)(36, 114)(37, 113)(38, 84)(39, 78)(40, 117)(41, 118)(42, 86)(43, 80)(44, 85)(45, 107)(46, 91)(47, 89)(48, 104)(49, 106)(50, 111)(51, 87)(52, 116)(53, 101)(54, 92)(55, 102)(56, 96)(57, 119)(58, 115)(59, 120)(60, 110)
	local type(s) :: { ( 15^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1488
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.1493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^-3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y3^-1, Y2^-1, Y3), Y2^-1 * Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-2 * Y2 * Y1, (Y1^-1 * Y3)^5, Y1^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 38, 98, 58, 118, 54, 114, 32, 92, 13, 73, 4, 64)(3, 63, 9, 69, 17, 77, 37, 97, 41, 101, 56, 116, 60, 120, 47, 107, 28, 88, 11, 71)(5, 65, 15, 75, 19, 79, 40, 100, 59, 119, 42, 102, 51, 111, 27, 87, 10, 70, 16, 76)(7, 67, 20, 80, 24, 84, 48, 108, 57, 117, 36, 96, 53, 113, 31, 91, 12, 72, 21, 81)(8, 68, 22, 82, 39, 99, 25, 85, 49, 109, 50, 110, 30, 90, 33, 93, 14, 74, 23, 83)(26, 86, 43, 103, 55, 115, 35, 95, 46, 106, 34, 94, 45, 105, 52, 112, 29, 89, 44, 104)(121, 181, 123, 183, 130, 190, 133, 193, 148, 208, 171, 231, 174, 234, 180, 240, 179, 239, 158, 218, 161, 221, 139, 199, 126, 186, 137, 197, 125, 185)(122, 182, 127, 187, 134, 194, 124, 184, 132, 192, 150, 210, 152, 212, 173, 233, 169, 229, 178, 238, 177, 237, 159, 219, 138, 198, 144, 204, 128, 188)(129, 189, 145, 205, 149, 209, 131, 191, 142, 202, 165, 225, 167, 227, 143, 203, 166, 226, 176, 236, 153, 213, 175, 235, 157, 217, 170, 230, 146, 206)(135, 195, 154, 214, 156, 216, 136, 196, 155, 215, 168, 228, 147, 207, 163, 223, 140, 200, 162, 222, 164, 224, 141, 201, 160, 220, 172, 232, 151, 211)
	L = (1, 124)(2, 121)(3, 131)(4, 133)(5, 136)(6, 122)(7, 141)(8, 143)(9, 123)(10, 147)(11, 148)(12, 151)(13, 152)(14, 153)(15, 125)(16, 130)(17, 129)(18, 126)(19, 135)(20, 127)(21, 132)(22, 128)(23, 134)(24, 140)(25, 159)(26, 164)(27, 171)(28, 167)(29, 172)(30, 170)(31, 173)(32, 174)(33, 150)(34, 166)(35, 175)(36, 177)(37, 137)(38, 138)(39, 142)(40, 139)(41, 157)(42, 179)(43, 146)(44, 149)(45, 154)(46, 155)(47, 180)(48, 144)(49, 145)(50, 169)(51, 162)(52, 165)(53, 156)(54, 178)(55, 163)(56, 161)(57, 168)(58, 158)(59, 160)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.1500
Graph:: bipartite
	v = 10 e = 120 f = 64
	degree seq :: [ 20^6, 30^4 ]

E24.1494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-2 * Y1^2, Y2^3 * Y3^4, Y1^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1^2 * Y2^5, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 29, 89, 49, 109, 43, 103, 36, 96, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 45, 105, 55, 115, 42, 102, 17, 77, 41, 101, 32, 92, 11, 71)(5, 65, 15, 75, 20, 80, 30, 90, 10, 70, 28, 88, 46, 106, 60, 120, 37, 97, 16, 76)(7, 67, 21, 81, 44, 104, 57, 117, 38, 98, 54, 114, 26, 86, 35, 95, 12, 72, 23, 83)(8, 68, 24, 84, 34, 94, 50, 110, 22, 82, 48, 108, 59, 119, 31, 91, 14, 74, 25, 85)(27, 87, 47, 107, 58, 118, 40, 100, 53, 113, 39, 99, 52, 112, 56, 116, 33, 93, 51, 111)(121, 181, 123, 183, 130, 190, 149, 209, 175, 235, 157, 217, 133, 193, 152, 212, 140, 200, 126, 186, 139, 199, 166, 226, 163, 223, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 169, 229, 158, 218, 134, 194, 124, 184, 132, 192, 154, 214, 138, 198, 164, 224, 179, 239, 156, 216, 146, 206, 128, 188)(129, 189, 145, 205, 173, 233, 162, 222, 170, 230, 153, 213, 131, 191, 151, 211, 178, 238, 165, 225, 144, 204, 172, 232, 161, 221, 168, 228, 147, 207)(135, 195, 159, 219, 174, 234, 148, 208, 171, 231, 143, 203, 136, 196, 160, 220, 177, 237, 150, 210, 176, 236, 155, 215, 180, 240, 167, 227, 141, 201)
	L = (1, 124)(2, 121)(3, 131)(4, 133)(5, 136)(6, 122)(7, 143)(8, 145)(9, 123)(10, 150)(11, 152)(12, 155)(13, 156)(14, 151)(15, 125)(16, 157)(17, 162)(18, 126)(19, 129)(20, 135)(21, 127)(22, 170)(23, 132)(24, 128)(25, 134)(26, 174)(27, 171)(28, 130)(29, 138)(30, 140)(31, 179)(32, 161)(33, 176)(34, 144)(35, 146)(36, 163)(37, 180)(38, 177)(39, 173)(40, 178)(41, 137)(42, 175)(43, 169)(44, 141)(45, 139)(46, 148)(47, 147)(48, 142)(49, 149)(50, 154)(51, 153)(52, 159)(53, 160)(54, 158)(55, 165)(56, 172)(57, 164)(58, 167)(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) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 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 E24.1498
Graph:: bipartite
	v = 10 e = 120 f = 64
	degree seq :: [ 20^6, 30^4 ]

E24.1495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^2 * Y3^-1 * Y1 * Y2 * Y3^-2, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-1, Y2^6 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y1^10, Y3^3 * 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 43, 103, 54, 114, 29, 89, 35, 95, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 42, 102, 17, 77, 41, 101, 46, 106, 56, 116, 31, 91, 11, 71)(5, 65, 15, 75, 20, 80, 45, 105, 55, 115, 30, 90, 10, 70, 28, 88, 36, 96, 16, 76)(7, 67, 21, 81, 38, 98, 53, 113, 26, 86, 52, 112, 59, 119, 34, 94, 12, 72, 23, 83)(8, 68, 24, 84, 44, 104, 58, 118, 33, 93, 48, 108, 22, 82, 37, 97, 14, 74, 25, 85)(27, 87, 47, 107, 60, 120, 40, 100, 51, 111, 39, 99, 50, 110, 57, 117, 32, 92, 49, 109)(121, 181, 123, 183, 130, 190, 149, 209, 166, 226, 140, 200, 126, 186, 139, 199, 156, 216, 133, 193, 151, 211, 175, 235, 163, 223, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 155, 215, 179, 239, 164, 224, 138, 198, 158, 218, 134, 194, 124, 184, 132, 192, 153, 213, 174, 234, 146, 206, 128, 188)(129, 189, 144, 204, 170, 230, 176, 236, 157, 217, 180, 240, 162, 222, 178, 238, 152, 212, 131, 191, 145, 205, 171, 231, 161, 221, 168, 228, 147, 207)(135, 195, 159, 219, 172, 232, 148, 208, 167, 227, 141, 201, 165, 225, 177, 237, 154, 214, 136, 196, 160, 220, 173, 233, 150, 210, 169, 229, 143, 203)
	L = (1, 124)(2, 121)(3, 131)(4, 133)(5, 136)(6, 122)(7, 143)(8, 145)(9, 123)(10, 150)(11, 151)(12, 154)(13, 155)(14, 157)(15, 125)(16, 156)(17, 162)(18, 126)(19, 129)(20, 135)(21, 127)(22, 168)(23, 132)(24, 128)(25, 134)(26, 173)(27, 169)(28, 130)(29, 174)(30, 175)(31, 176)(32, 177)(33, 178)(34, 179)(35, 149)(36, 148)(37, 142)(38, 141)(39, 171)(40, 180)(41, 137)(42, 139)(43, 138)(44, 144)(45, 140)(46, 161)(47, 147)(48, 153)(49, 152)(50, 159)(51, 160)(52, 146)(53, 158)(54, 163)(55, 165)(56, 166)(57, 170)(58, 164)(59, 172)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 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 E24.1499
Graph:: bipartite
	v = 10 e = 120 f = 64
	degree seq :: [ 20^6, 30^4 ]

E24.1496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^2 * Y1^-1)^2, Y2^-2 * Y1 * Y2^3 * Y1^-1 * Y2^-1, Y2^3 * Y1^6, (Y1 * Y2 * Y1)^3, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 41, 101, 59, 119, 40, 100, 49, 109, 50, 110, 27, 87, 48, 108, 53, 113, 32, 92, 13, 73, 4, 64)(3, 63, 9, 69, 24, 84, 42, 102, 60, 120, 39, 99, 17, 77, 30, 90, 36, 96, 46, 106, 44, 104, 57, 117, 34, 94, 14, 74, 11, 71)(5, 65, 15, 75, 7, 67, 20, 80, 45, 105, 56, 116, 52, 112, 29, 89, 23, 83, 10, 70, 26, 86, 51, 111, 54, 114, 38, 98, 16, 76)(8, 68, 22, 82, 19, 79, 43, 103, 58, 118, 35, 95, 37, 97, 28, 88, 25, 85, 21, 81, 47, 107, 55, 115, 33, 93, 31, 91, 12, 72)(121, 181, 123, 183, 130, 190, 147, 207, 166, 226, 140, 200, 138, 198, 162, 222, 174, 234, 152, 212, 154, 214, 172, 232, 160, 220, 137, 197, 125, 185)(122, 182, 127, 187, 141, 201, 168, 228, 171, 231, 163, 223, 161, 221, 176, 236, 153, 213, 133, 193, 136, 196, 157, 217, 169, 229, 143, 203, 128, 188)(124, 184, 132, 192, 150, 210, 170, 230, 145, 205, 129, 189, 126, 186, 139, 199, 164, 224, 173, 233, 175, 235, 180, 240, 179, 239, 155, 215, 134, 194)(131, 191, 148, 208, 135, 195, 156, 216, 142, 202, 146, 206, 144, 204, 167, 227, 165, 225, 177, 237, 178, 238, 158, 218, 159, 219, 151, 211, 149, 209)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 141)(8, 122)(9, 126)(10, 147)(11, 148)(12, 150)(13, 136)(14, 124)(15, 156)(16, 157)(17, 125)(18, 162)(19, 164)(20, 138)(21, 168)(22, 146)(23, 128)(24, 167)(25, 129)(26, 144)(27, 166)(28, 135)(29, 131)(30, 170)(31, 149)(32, 154)(33, 133)(34, 172)(35, 134)(36, 142)(37, 169)(38, 159)(39, 151)(40, 137)(41, 176)(42, 174)(43, 161)(44, 173)(45, 177)(46, 140)(47, 165)(48, 171)(49, 143)(50, 145)(51, 163)(52, 160)(53, 175)(54, 152)(55, 180)(56, 153)(57, 178)(58, 158)(59, 155)(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) :: { ( 2, 20, 2, 20, 2, 20, 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 E24.1497
Graph:: bipartite
	v = 8 e = 120 f = 66
	degree seq :: [ 30^8 ]

E24.1497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-3 * Y2, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^10, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 138, 198, 158, 218, 178, 238, 175, 235, 151, 211, 133, 193, 124, 184)(123, 183, 129, 189, 139, 199, 160, 220, 179, 239, 167, 227, 176, 236, 157, 217, 137, 197, 131, 191)(125, 185, 135, 195, 130, 190, 147, 207, 161, 221, 174, 234, 180, 240, 164, 224, 152, 212, 136, 196)(127, 187, 140, 200, 159, 219, 155, 215, 177, 237, 172, 232, 153, 213, 150, 210, 132, 192, 142, 202)(128, 188, 143, 203, 141, 201, 163, 223, 173, 233, 148, 208, 170, 230, 145, 205, 134, 194, 144, 204)(146, 206, 162, 222, 169, 229, 156, 216, 168, 228, 154, 214, 166, 226, 171, 231, 149, 209, 165, 225)
	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, 154)(16, 156)(17, 125)(18, 159)(19, 161)(20, 136)(21, 138)(22, 164)(23, 166)(24, 168)(25, 169)(26, 129)(27, 171)(28, 146)(29, 131)(30, 174)(31, 153)(32, 133)(33, 134)(34, 172)(35, 135)(36, 155)(37, 163)(38, 179)(39, 173)(40, 144)(41, 158)(42, 140)(43, 149)(44, 162)(45, 142)(46, 157)(47, 143)(48, 167)(49, 160)(50, 151)(51, 150)(52, 147)(53, 178)(54, 165)(55, 176)(56, 152)(57, 170)(58, 177)(59, 180)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 30, 30 ), ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1496
Graph:: simple bipartite
	v = 66 e = 120 f = 8
	degree seq :: [ 2^60, 20^6 ]

E24.1498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^3 * Y3, (Y1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-4, Y3^5 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 17, 77, 23, 83, 40, 100, 57, 117, 59, 119, 60, 120, 50, 110, 51, 111, 27, 87, 10, 70, 13, 73, 4, 64)(3, 63, 9, 69, 16, 76, 5, 65, 15, 75, 35, 95, 37, 97, 53, 113, 41, 101, 58, 118, 55, 115, 42, 102, 26, 86, 28, 88, 11, 71)(7, 67, 19, 79, 22, 82, 8, 68, 21, 81, 45, 105, 47, 107, 29, 89, 52, 112, 56, 116, 36, 96, 54, 114, 32, 92, 43, 103, 20, 80)(12, 72, 30, 90, 34, 94, 14, 74, 33, 93, 39, 99, 18, 78, 38, 98, 24, 84, 48, 108, 44, 104, 25, 85, 49, 109, 46, 106, 31, 91)(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, 134)(7, 133)(8, 122)(9, 144)(10, 146)(11, 141)(12, 147)(13, 152)(14, 124)(15, 145)(16, 149)(17, 125)(18, 126)(19, 161)(20, 158)(21, 162)(22, 164)(23, 128)(24, 148)(25, 129)(26, 170)(27, 169)(28, 159)(29, 131)(30, 165)(31, 135)(32, 171)(33, 172)(34, 173)(35, 156)(36, 136)(37, 137)(38, 174)(39, 175)(40, 138)(41, 163)(42, 139)(43, 155)(44, 140)(45, 166)(46, 142)(47, 143)(48, 160)(49, 180)(50, 178)(51, 176)(52, 150)(53, 151)(54, 153)(55, 154)(56, 179)(57, 157)(58, 177)(59, 167)(60, 168)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1494
Graph:: simple bipartite
	v = 64 e = 120 f = 10
	degree seq :: [ 2^60, 30^4 ]

E24.1499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^3 * Y3^4, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1^-3)^2, (Y3 * Y2^-1)^10, Y3^-2 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-2 * Y1^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 44, 104, 31, 91, 10, 70, 22, 82, 39, 99, 17, 77, 26, 86, 50, 110, 35, 95, 13, 73, 4, 64)(3, 63, 9, 69, 27, 87, 43, 103, 60, 120, 52, 112, 30, 90, 41, 101, 16, 76, 5, 65, 15, 75, 40, 100, 45, 105, 32, 92, 11, 71)(7, 67, 21, 81, 51, 111, 57, 117, 42, 102, 59, 119, 36, 96, 55, 115, 25, 85, 8, 68, 24, 84, 54, 114, 34, 94, 53, 113, 23, 83)(12, 72, 33, 93, 47, 107, 19, 79, 46, 106, 28, 88, 58, 118, 56, 116, 38, 98, 14, 74, 37, 97, 49, 109, 20, 80, 48, 108, 29, 89)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 148)(10, 150)(11, 141)(12, 151)(13, 154)(14, 124)(15, 149)(16, 144)(17, 125)(18, 163)(19, 159)(20, 126)(21, 172)(22, 156)(23, 166)(24, 131)(25, 168)(26, 128)(27, 162)(28, 161)(29, 129)(30, 155)(31, 178)(32, 167)(33, 171)(34, 164)(35, 165)(36, 133)(37, 174)(38, 135)(39, 134)(40, 173)(41, 169)(42, 136)(43, 137)(44, 177)(45, 138)(46, 179)(47, 180)(48, 143)(49, 152)(50, 140)(51, 176)(52, 175)(53, 147)(54, 153)(55, 160)(56, 145)(57, 146)(58, 170)(59, 157)(60, 158)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1495
Graph:: simple bipartite
	v = 64 e = 120 f = 10
	degree seq :: [ 2^60, 30^4 ]

E24.1500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^3 * Y3^-4, (Y3, Y1^-1, Y3), Y1^-4 * Y3^-2 * Y1^-2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 44, 104, 39, 99, 17, 77, 26, 86, 31, 91, 10, 70, 22, 82, 47, 107, 36, 96, 13, 73, 4, 64)(3, 63, 9, 69, 27, 87, 45, 105, 42, 102, 16, 76, 5, 65, 15, 75, 40, 100, 30, 90, 58, 118, 56, 116, 43, 103, 33, 93, 11, 71)(7, 67, 21, 81, 51, 111, 37, 97, 57, 117, 25, 85, 8, 68, 24, 84, 55, 115, 52, 112, 32, 92, 59, 119, 35, 95, 54, 114, 23, 83)(12, 72, 34, 94, 48, 108, 19, 79, 46, 106, 29, 89, 14, 74, 38, 98, 50, 110, 20, 80, 49, 109, 41, 101, 60, 120, 53, 113, 28, 88)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 148)(10, 150)(11, 152)(12, 151)(13, 155)(14, 124)(15, 149)(16, 141)(17, 125)(18, 165)(19, 167)(20, 126)(21, 131)(22, 172)(23, 173)(24, 136)(25, 166)(26, 128)(27, 174)(28, 178)(29, 129)(30, 138)(31, 140)(32, 160)(33, 161)(34, 179)(35, 146)(36, 163)(37, 133)(38, 171)(39, 134)(40, 177)(41, 135)(42, 168)(43, 137)(44, 157)(45, 156)(46, 143)(47, 180)(48, 153)(49, 145)(50, 162)(51, 154)(52, 164)(53, 175)(54, 176)(55, 158)(56, 144)(57, 147)(58, 170)(59, 169)(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) :: { ( 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1493
Graph:: simple bipartite
	v = 64 e = 120 f = 10
	degree seq :: [ 2^60, 30^4 ]

E24.1501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^5, Y3^6 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 10, 70)(5, 65, 9, 69)(6, 66, 8, 68)(11, 71, 19, 79)(12, 72, 21, 81)(13, 73, 20, 80)(14, 74, 26, 86)(15, 75, 25, 85)(16, 76, 24, 84)(17, 77, 23, 83)(18, 78, 22, 82)(27, 87, 37, 97)(28, 88, 36, 96)(29, 89, 39, 99)(30, 90, 38, 98)(31, 91, 40, 100)(32, 92, 44, 104)(33, 93, 43, 103)(34, 94, 42, 102)(35, 95, 41, 101)(45, 105, 52, 112)(46, 106, 51, 111)(47, 107, 53, 113)(48, 108, 54, 114)(49, 109, 56, 116)(50, 110, 55, 115)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 131, 191, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 144, 204, 129, 189)(124, 184, 132, 192, 147, 207, 153, 213, 135, 195)(126, 186, 133, 193, 148, 208, 154, 214, 137, 197)(128, 188, 140, 200, 156, 216, 162, 222, 143, 203)(130, 190, 141, 201, 157, 217, 163, 223, 145, 205)(134, 194, 149, 209, 165, 225, 169, 229, 152, 212)(138, 198, 150, 210, 166, 226, 170, 230, 155, 215)(142, 202, 158, 218, 171, 231, 175, 235, 161, 221)(146, 206, 159, 219, 172, 232, 176, 236, 164, 224)(151, 211, 167, 227, 177, 237, 178, 238, 168, 228)(160, 220, 173, 233, 179, 239, 180, 240, 174, 234)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 147)(12, 149)(13, 123)(14, 151)(15, 152)(16, 153)(17, 125)(18, 126)(19, 156)(20, 158)(21, 127)(22, 160)(23, 161)(24, 162)(25, 129)(26, 130)(27, 165)(28, 131)(29, 167)(30, 133)(31, 138)(32, 168)(33, 169)(34, 136)(35, 137)(36, 171)(37, 139)(38, 173)(39, 141)(40, 146)(41, 174)(42, 175)(43, 144)(44, 145)(45, 177)(46, 148)(47, 150)(48, 155)(49, 178)(50, 154)(51, 179)(52, 157)(53, 159)(54, 164)(55, 180)(56, 163)(57, 166)(58, 170)(59, 172)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1502
Graph:: simple bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3), (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y1^-5, Y3^6, Y3^-2 * Y1^-1 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-2, R * Y1 * Y3^-2 * Y2 * Y1^-1 * R * Y2, Y3 * Y2 * Y1^-3 * Y2 * Y1^-2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 21, 81, 16, 76, 4, 64, 9, 69, 23, 83, 45, 105, 39, 99, 15, 75, 29, 89, 50, 110, 59, 119, 57, 117, 38, 98, 56, 116, 60, 120, 58, 118, 34, 94, 20, 80, 30, 90, 51, 111, 43, 103, 19, 79, 6, 66, 10, 70, 24, 84, 18, 78, 5, 65)(3, 63, 11, 71, 31, 91, 44, 104, 33, 93, 12, 72, 28, 88, 53, 113, 42, 102, 55, 115, 27, 87, 8, 68, 25, 85, 52, 112, 40, 100, 54, 114, 26, 86, 49, 109, 41, 101, 17, 77, 37, 97, 48, 108, 22, 82, 46, 106, 36, 96, 14, 74, 32, 92, 47, 107, 35, 95, 13, 73)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 142, 202)(129, 189, 148, 208)(130, 190, 146, 206)(131, 191, 149, 209)(133, 193, 154, 214)(135, 195, 157, 217)(136, 196, 160, 220)(138, 198, 162, 222)(139, 199, 156, 216)(140, 200, 147, 207)(141, 201, 164, 224)(143, 203, 169, 229)(144, 204, 167, 227)(145, 205, 170, 230)(150, 210, 168, 228)(151, 211, 171, 231)(152, 212, 176, 236)(153, 213, 177, 237)(155, 215, 165, 225)(158, 218, 174, 234)(159, 219, 175, 235)(161, 221, 178, 238)(163, 223, 172, 232)(166, 226, 179, 239)(173, 233, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 143)(8, 146)(9, 149)(10, 122)(11, 148)(12, 147)(13, 153)(14, 123)(15, 158)(16, 159)(17, 156)(18, 141)(19, 125)(20, 126)(21, 165)(22, 167)(23, 170)(24, 127)(25, 169)(26, 168)(27, 174)(28, 128)(29, 176)(30, 130)(31, 173)(32, 131)(33, 175)(34, 139)(35, 164)(36, 133)(37, 134)(38, 140)(39, 177)(40, 137)(41, 166)(42, 172)(43, 138)(44, 162)(45, 179)(46, 155)(47, 151)(48, 152)(49, 142)(50, 180)(51, 144)(52, 161)(53, 145)(54, 157)(55, 160)(56, 150)(57, 154)(58, 163)(59, 178)(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, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.1501
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 4^30, 60^2 ]

E24.1503 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y3 * Y1^5 * Y2, (Y2 * Y1 * Y3)^5, Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 83, 23, 72, 12, 78, 18, 87, 27, 96, 36, 104, 44, 95, 35, 99, 39, 107, 47, 115, 55, 120, 60, 113, 53, 117, 57, 118, 58, 111, 51, 102, 42, 93, 33, 98, 38, 100, 40, 91, 31, 80, 20, 70, 10, 77, 17, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 90, 30, 88, 28, 81, 21, 92, 32, 101, 41, 110, 50, 108, 48, 103, 43, 112, 52, 119, 59, 116, 56, 109, 49, 105, 45, 114, 54, 106, 46, 97, 37, 89, 29, 84, 24, 94, 34, 86, 26, 76, 16, 68, 8, 64, 4, 71, 11, 82, 22, 75, 15, 67, 7, 63)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 22)(16, 27)(17, 28)(20, 32)(24, 35)(25, 30)(26, 36)(29, 39)(31, 41)(33, 43)(34, 44)(37, 47)(38, 48)(40, 50)(42, 52)(45, 53)(46, 55)(49, 57)(51, 59)(54, 60)(56, 58)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 86)(75, 85)(78, 89)(79, 91)(81, 93)(83, 94)(87, 97)(88, 98)(90, 100)(92, 102)(95, 105)(96, 106)(99, 109)(101, 111)(103, 113)(104, 114)(107, 116)(108, 117)(110, 118)(112, 120)(115, 119)
	local type(s) :: { ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1505
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.1504 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, Y1^30 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 97, 37, 105, 45, 113, 53, 118, 58, 110, 50, 102, 42, 94, 34, 80, 20, 70, 10, 77, 17, 89, 29, 83, 23, 72, 12, 78, 18, 90, 30, 99, 39, 107, 47, 115, 55, 120, 60, 112, 52, 104, 44, 96, 36, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 93, 33, 101, 41, 109, 49, 117, 57, 114, 54, 106, 46, 98, 38, 88, 28, 76, 16, 68, 8, 64, 4, 71, 11, 82, 22, 91, 31, 81, 21, 95, 35, 103, 43, 111, 51, 119, 59, 116, 56, 108, 48, 100, 40, 92, 32, 84, 24, 87, 27, 75, 15, 67, 7, 63)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 29)(24, 26)(25, 33)(28, 39)(32, 37)(34, 43)(36, 41)(38, 47)(40, 45)(42, 51)(44, 49)(46, 55)(48, 53)(50, 59)(52, 57)(54, 60)(56, 58)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 88)(75, 89)(78, 92)(79, 94)(81, 96)(83, 87)(85, 91)(86, 98)(90, 100)(93, 102)(95, 104)(97, 106)(99, 108)(101, 110)(103, 112)(105, 114)(107, 116)(109, 118)(111, 120)(113, 117)(115, 119)
	local type(s) :: { ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1506
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.1505 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^5, (Y3 * Y2)^6, (Y2 * Y1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 73, 13, 65, 5, 61)(3, 69, 9, 78, 18, 74, 14, 67, 7, 63)(4, 71, 11, 81, 21, 75, 15, 68, 8, 64)(10, 76, 16, 84, 24, 88, 28, 79, 19, 70)(12, 77, 17, 85, 25, 91, 31, 82, 22, 72)(20, 89, 29, 98, 38, 94, 34, 86, 26, 80)(23, 92, 32, 101, 41, 95, 35, 87, 27, 83)(30, 96, 36, 104, 44, 108, 48, 99, 39, 90)(33, 97, 37, 105, 45, 111, 51, 102, 42, 93)(40, 109, 49, 116, 56, 113, 53, 106, 46, 100)(43, 112, 52, 118, 58, 114, 54, 107, 47, 103)(50, 115, 55, 119, 59, 120, 60, 117, 57, 110)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 17)(10, 20)(11, 22)(13, 18)(15, 25)(16, 26)(19, 29)(21, 31)(23, 33)(24, 34)(27, 37)(28, 38)(30, 40)(32, 42)(35, 45)(36, 46)(39, 49)(41, 51)(43, 50)(44, 53)(47, 55)(48, 56)(52, 57)(54, 59)(58, 60)(61, 64)(62, 68)(63, 70)(65, 71)(66, 75)(67, 76)(69, 79)(72, 83)(73, 81)(74, 84)(77, 87)(78, 88)(80, 90)(82, 92)(85, 95)(86, 96)(89, 99)(91, 101)(93, 103)(94, 104)(97, 107)(98, 108)(100, 110)(102, 112)(105, 114)(106, 115)(109, 117)(111, 118)(113, 119)(116, 120)
	local type(s) :: { ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1503
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 10^12 ]

E24.1506 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^5, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, (Y2 * Y1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 73, 13, 65, 5, 61)(3, 69, 9, 78, 18, 74, 14, 67, 7, 63)(4, 71, 11, 81, 21, 75, 15, 68, 8, 64)(10, 76, 16, 84, 24, 88, 28, 79, 19, 70)(12, 77, 17, 85, 25, 91, 31, 82, 22, 72)(20, 89, 29, 98, 38, 94, 34, 86, 26, 80)(23, 92, 32, 101, 41, 95, 35, 87, 27, 83)(30, 96, 36, 104, 44, 108, 48, 99, 39, 90)(33, 97, 37, 105, 45, 111, 51, 102, 42, 93)(40, 109, 49, 117, 57, 114, 54, 106, 46, 100)(43, 112, 52, 119, 59, 115, 55, 107, 47, 103)(50, 113, 53, 116, 56, 120, 60, 118, 58, 110)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 17)(10, 20)(11, 22)(13, 18)(15, 25)(16, 26)(19, 29)(21, 31)(23, 33)(24, 34)(27, 37)(28, 38)(30, 40)(32, 42)(35, 45)(36, 46)(39, 49)(41, 51)(43, 53)(44, 54)(47, 56)(48, 57)(50, 52)(55, 60)(58, 59)(61, 64)(62, 68)(63, 70)(65, 71)(66, 75)(67, 76)(69, 79)(72, 83)(73, 81)(74, 84)(77, 87)(78, 88)(80, 90)(82, 92)(85, 95)(86, 96)(89, 99)(91, 101)(93, 103)(94, 104)(97, 107)(98, 108)(100, 110)(102, 112)(105, 115)(106, 113)(109, 118)(111, 119)(114, 116)(117, 120)
	local type(s) :: { ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1504
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 10^12 ]

E24.1507 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, (Y2 * Y1)^6, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 23, 83, 11, 71)(6, 66, 15, 75, 27, 87, 28, 88, 16, 76)(9, 69, 20, 80, 32, 92, 33, 93, 21, 81)(14, 74, 25, 85, 37, 97, 38, 98, 26, 86)(19, 79, 30, 90, 42, 102, 43, 103, 31, 91)(24, 84, 35, 95, 47, 107, 48, 108, 36, 96)(29, 89, 40, 100, 51, 111, 52, 112, 41, 101)(34, 94, 45, 105, 55, 115, 56, 116, 46, 106)(39, 99, 49, 109, 57, 117, 58, 118, 50, 110)(44, 104, 53, 113, 59, 119, 60, 120, 54, 114)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 146)(136, 145)(139, 149)(142, 153)(143, 152)(144, 154)(147, 158)(148, 157)(150, 161)(151, 160)(155, 166)(156, 165)(159, 164)(162, 172)(163, 171)(167, 176)(168, 175)(169, 174)(170, 173)(177, 180)(178, 179)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 204)(197, 208)(198, 207)(200, 211)(201, 210)(205, 216)(206, 215)(209, 219)(212, 223)(213, 222)(214, 224)(217, 228)(218, 227)(220, 230)(221, 229)(225, 234)(226, 233)(231, 238)(232, 237)(235, 240)(236, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1513
Graph:: simple bipartite
	v = 72 e = 120 f = 2
	degree seq :: [ 2^60, 10^12 ]

E24.1508 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 23, 83, 11, 71)(6, 66, 15, 75, 27, 87, 28, 88, 16, 76)(9, 69, 20, 80, 32, 92, 33, 93, 21, 81)(14, 74, 25, 85, 37, 97, 38, 98, 26, 86)(19, 79, 30, 90, 42, 102, 43, 103, 31, 91)(24, 84, 35, 95, 47, 107, 48, 108, 36, 96)(29, 89, 40, 100, 52, 112, 53, 113, 41, 101)(34, 94, 45, 105, 55, 115, 56, 116, 46, 106)(39, 99, 50, 110, 58, 118, 59, 119, 51, 111)(44, 104, 54, 114, 60, 120, 57, 117, 49, 109)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 146)(136, 145)(139, 149)(142, 153)(143, 152)(144, 154)(147, 158)(148, 157)(150, 161)(151, 160)(155, 166)(156, 165)(159, 169)(162, 173)(163, 172)(164, 171)(167, 176)(168, 175)(170, 177)(174, 179)(178, 180)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 204)(197, 208)(198, 207)(200, 211)(201, 210)(205, 216)(206, 215)(209, 219)(212, 223)(213, 222)(214, 224)(217, 228)(218, 227)(220, 231)(221, 230)(225, 229)(226, 234)(232, 239)(233, 238)(235, 237)(236, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1514
Graph:: simple bipartite
	v = 72 e = 120 f = 2
	degree seq :: [ 2^60, 10^12 ]

E24.1509 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y1 * Y3^5 * Y2, (Y1 * Y2)^6, (Y3 * Y1 * Y2)^5 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 16, 76, 6, 66, 15, 75, 29, 89, 40, 100, 38, 98, 26, 86, 37, 97, 49, 109, 58, 118, 56, 116, 46, 106, 55, 115, 60, 120, 53, 113, 43, 103, 31, 91, 42, 102, 45, 105, 34, 94, 21, 81, 9, 69, 20, 80, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 23, 83, 11, 71, 3, 63, 10, 70, 22, 82, 35, 95, 33, 93, 19, 79, 32, 92, 44, 104, 54, 114, 52, 112, 41, 101, 51, 111, 59, 119, 57, 117, 48, 108, 36, 96, 47, 107, 50, 110, 39, 99, 28, 88, 14, 74, 27, 87, 30, 90, 18, 78, 8, 68)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 148)(136, 147)(139, 151)(142, 154)(143, 145)(144, 150)(146, 156)(149, 159)(152, 163)(153, 162)(155, 165)(157, 168)(158, 167)(160, 170)(161, 166)(164, 173)(169, 177)(171, 176)(172, 175)(174, 180)(178, 179)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 206)(197, 204)(198, 209)(200, 213)(201, 212)(205, 215)(207, 218)(208, 217)(210, 220)(211, 221)(214, 224)(216, 226)(219, 229)(222, 232)(223, 231)(225, 234)(227, 236)(228, 235)(230, 238)(233, 239)(237, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1511
Graph:: simple bipartite
	v = 62 e = 120 f = 12
	degree seq :: [ 2^60, 60^2 ]

E24.1510 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, Y3^30 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 26, 86, 38, 98, 47, 107, 56, 116, 58, 118, 49, 109, 44, 104, 35, 95, 21, 81, 9, 69, 20, 80, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 40, 100, 45, 105, 54, 114, 60, 120, 51, 111, 42, 102, 33, 93, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 19, 79, 34, 94, 43, 103, 52, 112, 57, 117, 53, 113, 48, 108, 39, 99, 28, 88, 14, 74, 27, 87, 23, 83, 11, 71, 3, 63, 10, 70, 22, 82, 36, 96, 41, 101, 50, 110, 59, 119, 55, 115, 46, 106, 37, 97, 32, 92, 18, 78, 8, 68)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 148)(136, 147)(139, 153)(142, 155)(143, 150)(144, 152)(145, 151)(146, 157)(149, 159)(154, 162)(156, 164)(158, 166)(160, 168)(161, 169)(163, 171)(165, 173)(167, 175)(170, 178)(172, 180)(174, 177)(176, 179)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 206)(197, 210)(198, 209)(200, 211)(201, 214)(204, 207)(205, 216)(208, 218)(212, 220)(213, 221)(215, 223)(217, 225)(219, 227)(222, 230)(224, 232)(226, 234)(228, 236)(229, 237)(231, 239)(233, 238)(235, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1512
Graph:: simple bipartite
	v = 62 e = 120 f = 12
	degree seq :: [ 2^60, 60^2 ]

E24.1511 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, (Y2 * Y1)^6, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 27, 87, 147, 207, 28, 88, 148, 208, 16, 76, 136, 196)(9, 69, 129, 189, 20, 80, 140, 200, 32, 92, 152, 212, 33, 93, 153, 213, 21, 81, 141, 201)(14, 74, 134, 194, 25, 85, 145, 205, 37, 97, 157, 217, 38, 98, 158, 218, 26, 86, 146, 206)(19, 79, 139, 199, 30, 90, 150, 210, 42, 102, 162, 222, 43, 103, 163, 223, 31, 91, 151, 211)(24, 84, 144, 204, 35, 95, 155, 215, 47, 107, 167, 227, 48, 108, 168, 228, 36, 96, 156, 216)(29, 89, 149, 209, 40, 100, 160, 220, 51, 111, 171, 231, 52, 112, 172, 232, 41, 101, 161, 221)(34, 94, 154, 214, 45, 105, 165, 225, 55, 115, 175, 235, 56, 116, 176, 236, 46, 106, 166, 226)(39, 99, 159, 219, 49, 109, 169, 229, 57, 117, 177, 237, 58, 118, 178, 238, 50, 110, 170, 230)(44, 104, 164, 224, 53, 113, 173, 233, 59, 119, 179, 239, 60, 120, 180, 240, 54, 114, 174, 234)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 86)(16, 85)(17, 73)(18, 72)(19, 89)(20, 71)(21, 70)(22, 93)(23, 92)(24, 94)(25, 76)(26, 75)(27, 98)(28, 97)(29, 79)(30, 101)(31, 100)(32, 83)(33, 82)(34, 84)(35, 106)(36, 105)(37, 88)(38, 87)(39, 104)(40, 91)(41, 90)(42, 112)(43, 111)(44, 99)(45, 96)(46, 95)(47, 116)(48, 115)(49, 114)(50, 113)(51, 103)(52, 102)(53, 110)(54, 109)(55, 108)(56, 107)(57, 120)(58, 119)(59, 118)(60, 117)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 204)(135, 188)(136, 187)(137, 208)(138, 207)(139, 189)(140, 211)(141, 210)(142, 193)(143, 192)(144, 194)(145, 216)(146, 215)(147, 198)(148, 197)(149, 219)(150, 201)(151, 200)(152, 223)(153, 222)(154, 224)(155, 206)(156, 205)(157, 228)(158, 227)(159, 209)(160, 230)(161, 229)(162, 213)(163, 212)(164, 214)(165, 234)(166, 233)(167, 218)(168, 217)(169, 221)(170, 220)(171, 238)(172, 237)(173, 226)(174, 225)(175, 240)(176, 239)(177, 232)(178, 231)(179, 236)(180, 235)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1509
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 120 f = 62
	degree seq :: [ 20^12 ]

E24.1512 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 27, 87, 147, 207, 28, 88, 148, 208, 16, 76, 136, 196)(9, 69, 129, 189, 20, 80, 140, 200, 32, 92, 152, 212, 33, 93, 153, 213, 21, 81, 141, 201)(14, 74, 134, 194, 25, 85, 145, 205, 37, 97, 157, 217, 38, 98, 158, 218, 26, 86, 146, 206)(19, 79, 139, 199, 30, 90, 150, 210, 42, 102, 162, 222, 43, 103, 163, 223, 31, 91, 151, 211)(24, 84, 144, 204, 35, 95, 155, 215, 47, 107, 167, 227, 48, 108, 168, 228, 36, 96, 156, 216)(29, 89, 149, 209, 40, 100, 160, 220, 52, 112, 172, 232, 53, 113, 173, 233, 41, 101, 161, 221)(34, 94, 154, 214, 45, 105, 165, 225, 55, 115, 175, 235, 56, 116, 176, 236, 46, 106, 166, 226)(39, 99, 159, 219, 50, 110, 170, 230, 58, 118, 178, 238, 59, 119, 179, 239, 51, 111, 171, 231)(44, 104, 164, 224, 54, 114, 174, 234, 60, 120, 180, 240, 57, 117, 177, 237, 49, 109, 169, 229)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 86)(16, 85)(17, 73)(18, 72)(19, 89)(20, 71)(21, 70)(22, 93)(23, 92)(24, 94)(25, 76)(26, 75)(27, 98)(28, 97)(29, 79)(30, 101)(31, 100)(32, 83)(33, 82)(34, 84)(35, 106)(36, 105)(37, 88)(38, 87)(39, 109)(40, 91)(41, 90)(42, 113)(43, 112)(44, 111)(45, 96)(46, 95)(47, 116)(48, 115)(49, 99)(50, 117)(51, 104)(52, 103)(53, 102)(54, 119)(55, 108)(56, 107)(57, 110)(58, 120)(59, 114)(60, 118)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 204)(135, 188)(136, 187)(137, 208)(138, 207)(139, 189)(140, 211)(141, 210)(142, 193)(143, 192)(144, 194)(145, 216)(146, 215)(147, 198)(148, 197)(149, 219)(150, 201)(151, 200)(152, 223)(153, 222)(154, 224)(155, 206)(156, 205)(157, 228)(158, 227)(159, 209)(160, 231)(161, 230)(162, 213)(163, 212)(164, 214)(165, 229)(166, 234)(167, 218)(168, 217)(169, 225)(170, 221)(171, 220)(172, 239)(173, 238)(174, 226)(175, 237)(176, 240)(177, 235)(178, 233)(179, 232)(180, 236)
	local type(s) :: { ( 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 E24.1510
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 120 f = 62
	degree seq :: [ 20^12 ]

E24.1513 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y1 * Y3^5 * Y2, (Y1 * Y2)^6, (Y3 * Y1 * Y2)^5 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 16, 76, 136, 196, 6, 66, 126, 186, 15, 75, 135, 195, 29, 89, 149, 209, 40, 100, 160, 220, 38, 98, 158, 218, 26, 86, 146, 206, 37, 97, 157, 217, 49, 109, 169, 229, 58, 118, 178, 238, 56, 116, 176, 236, 46, 106, 166, 226, 55, 115, 175, 235, 60, 120, 180, 240, 53, 113, 173, 233, 43, 103, 163, 223, 31, 91, 151, 211, 42, 102, 162, 222, 45, 105, 165, 225, 34, 94, 154, 214, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 23, 83, 143, 203, 11, 71, 131, 191, 3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 35, 95, 155, 215, 33, 93, 153, 213, 19, 79, 139, 199, 32, 92, 152, 212, 44, 104, 164, 224, 54, 114, 174, 234, 52, 112, 172, 232, 41, 101, 161, 221, 51, 111, 171, 231, 59, 119, 179, 239, 57, 117, 177, 237, 48, 108, 168, 228, 36, 96, 156, 216, 47, 107, 167, 227, 50, 110, 170, 230, 39, 99, 159, 219, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 30, 90, 150, 210, 18, 78, 138, 198, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 88)(16, 87)(17, 73)(18, 72)(19, 91)(20, 71)(21, 70)(22, 94)(23, 85)(24, 90)(25, 83)(26, 96)(27, 76)(28, 75)(29, 99)(30, 84)(31, 79)(32, 103)(33, 102)(34, 82)(35, 105)(36, 86)(37, 108)(38, 107)(39, 89)(40, 110)(41, 106)(42, 93)(43, 92)(44, 113)(45, 95)(46, 101)(47, 98)(48, 97)(49, 117)(50, 100)(51, 116)(52, 115)(53, 104)(54, 120)(55, 112)(56, 111)(57, 109)(58, 119)(59, 118)(60, 114)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 206)(135, 188)(136, 187)(137, 204)(138, 209)(139, 189)(140, 213)(141, 212)(142, 193)(143, 192)(144, 197)(145, 215)(146, 194)(147, 218)(148, 217)(149, 198)(150, 220)(151, 221)(152, 201)(153, 200)(154, 224)(155, 205)(156, 226)(157, 208)(158, 207)(159, 229)(160, 210)(161, 211)(162, 232)(163, 231)(164, 214)(165, 234)(166, 216)(167, 236)(168, 235)(169, 219)(170, 238)(171, 223)(172, 222)(173, 239)(174, 225)(175, 228)(176, 227)(177, 240)(178, 230)(179, 233)(180, 237)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1507
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 72
	degree seq :: [ 120^2 ]

E24.1514 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, Y3^30 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 26, 86, 146, 206, 38, 98, 158, 218, 47, 107, 167, 227, 56, 116, 176, 236, 58, 118, 178, 238, 49, 109, 169, 229, 44, 104, 164, 224, 35, 95, 155, 215, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 30, 90, 150, 210, 16, 76, 136, 196, 6, 66, 126, 186, 15, 75, 135, 195, 29, 89, 149, 209, 40, 100, 160, 220, 45, 105, 165, 225, 54, 114, 174, 234, 60, 120, 180, 240, 51, 111, 171, 231, 42, 102, 162, 222, 33, 93, 153, 213, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 31, 91, 151, 211, 19, 79, 139, 199, 34, 94, 154, 214, 43, 103, 163, 223, 52, 112, 172, 232, 57, 117, 177, 237, 53, 113, 173, 233, 48, 108, 168, 228, 39, 99, 159, 219, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 23, 83, 143, 203, 11, 71, 131, 191, 3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 36, 96, 156, 216, 41, 101, 161, 221, 50, 110, 170, 230, 59, 119, 179, 239, 55, 115, 175, 235, 46, 106, 166, 226, 37, 97, 157, 217, 32, 92, 152, 212, 18, 78, 138, 198, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 88)(16, 87)(17, 73)(18, 72)(19, 93)(20, 71)(21, 70)(22, 95)(23, 90)(24, 92)(25, 91)(26, 97)(27, 76)(28, 75)(29, 99)(30, 83)(31, 85)(32, 84)(33, 79)(34, 102)(35, 82)(36, 104)(37, 86)(38, 106)(39, 89)(40, 108)(41, 109)(42, 94)(43, 111)(44, 96)(45, 113)(46, 98)(47, 115)(48, 100)(49, 101)(50, 118)(51, 103)(52, 120)(53, 105)(54, 117)(55, 107)(56, 119)(57, 114)(58, 110)(59, 116)(60, 112)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 206)(135, 188)(136, 187)(137, 210)(138, 209)(139, 189)(140, 211)(141, 214)(142, 193)(143, 192)(144, 207)(145, 216)(146, 194)(147, 204)(148, 218)(149, 198)(150, 197)(151, 200)(152, 220)(153, 221)(154, 201)(155, 223)(156, 205)(157, 225)(158, 208)(159, 227)(160, 212)(161, 213)(162, 230)(163, 215)(164, 232)(165, 217)(166, 234)(167, 219)(168, 236)(169, 237)(170, 222)(171, 239)(172, 224)(173, 238)(174, 226)(175, 240)(176, 228)(177, 229)(178, 233)(179, 231)(180, 235)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1508
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 72
	degree seq :: [ 120^2 ]

E24.1515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^5, Y3^6 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 43, 103)(28, 88, 42, 102)(29, 89, 44, 104)(30, 90, 41, 101)(31, 91, 40, 100)(32, 92, 39, 99)(33, 93, 37, 97)(34, 94, 36, 96)(35, 95, 38, 98)(45, 105, 56, 116)(46, 106, 55, 115)(47, 107, 54, 114)(48, 108, 53, 113)(49, 109, 52, 112)(50, 110, 51, 111)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 131, 191, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 144, 204, 129, 189)(124, 184, 132, 192, 147, 207, 153, 213, 135, 195)(126, 186, 133, 193, 148, 208, 154, 214, 137, 197)(128, 188, 140, 200, 156, 216, 162, 222, 143, 203)(130, 190, 141, 201, 157, 217, 163, 223, 145, 205)(134, 194, 149, 209, 165, 225, 169, 229, 152, 212)(138, 198, 150, 210, 166, 226, 170, 230, 155, 215)(142, 202, 158, 218, 171, 231, 175, 235, 161, 221)(146, 206, 159, 219, 172, 232, 176, 236, 164, 224)(151, 211, 167, 227, 177, 237, 178, 238, 168, 228)(160, 220, 173, 233, 179, 239, 180, 240, 174, 234)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 147)(12, 149)(13, 123)(14, 151)(15, 152)(16, 153)(17, 125)(18, 126)(19, 156)(20, 158)(21, 127)(22, 160)(23, 161)(24, 162)(25, 129)(26, 130)(27, 165)(28, 131)(29, 167)(30, 133)(31, 138)(32, 168)(33, 169)(34, 136)(35, 137)(36, 171)(37, 139)(38, 173)(39, 141)(40, 146)(41, 174)(42, 175)(43, 144)(44, 145)(45, 177)(46, 148)(47, 150)(48, 155)(49, 178)(50, 154)(51, 179)(52, 157)(53, 159)(54, 164)(55, 180)(56, 163)(57, 166)(58, 170)(59, 172)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1519
Graph:: simple bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, Y3^6 * Y2, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 44, 104)(28, 88, 43, 103)(29, 89, 45, 105)(30, 90, 42, 102)(31, 91, 46, 106)(32, 92, 40, 100)(33, 93, 38, 98)(34, 94, 37, 97)(35, 95, 39, 99)(36, 96, 41, 101)(47, 107, 58, 118)(48, 108, 57, 117)(49, 109, 56, 116)(50, 110, 55, 115)(51, 111, 54, 114)(52, 112, 53, 113)(59, 119, 60, 120)(121, 181, 123, 183, 131, 191, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 144, 204, 129, 189)(124, 184, 132, 192, 147, 207, 153, 213, 135, 195)(126, 186, 133, 193, 148, 208, 154, 214, 137, 197)(128, 188, 140, 200, 157, 217, 163, 223, 143, 203)(130, 190, 141, 201, 158, 218, 164, 224, 145, 205)(134, 194, 149, 209, 167, 227, 171, 231, 152, 212)(138, 198, 150, 210, 168, 228, 172, 232, 155, 215)(142, 202, 159, 219, 173, 233, 177, 237, 162, 222)(146, 206, 160, 220, 174, 234, 178, 238, 165, 225)(151, 211, 156, 216, 169, 229, 179, 239, 170, 230)(161, 221, 166, 226, 175, 235, 180, 240, 176, 236)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 147)(12, 149)(13, 123)(14, 151)(15, 152)(16, 153)(17, 125)(18, 126)(19, 157)(20, 159)(21, 127)(22, 161)(23, 162)(24, 163)(25, 129)(26, 130)(27, 167)(28, 131)(29, 156)(30, 133)(31, 155)(32, 170)(33, 171)(34, 136)(35, 137)(36, 138)(37, 173)(38, 139)(39, 166)(40, 141)(41, 165)(42, 176)(43, 177)(44, 144)(45, 145)(46, 146)(47, 169)(48, 148)(49, 150)(50, 172)(51, 179)(52, 154)(53, 175)(54, 158)(55, 160)(56, 178)(57, 180)(58, 164)(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, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1520
Graph:: simple bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^-5, Y2^5, Y2^-2 * Y3^6, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 44, 104)(28, 88, 43, 103)(29, 89, 45, 105)(30, 90, 42, 102)(31, 91, 46, 106)(32, 92, 40, 100)(33, 93, 38, 98)(34, 94, 37, 97)(35, 95, 39, 99)(36, 96, 41, 101)(47, 107, 59, 119)(48, 108, 58, 118)(49, 109, 60, 120)(50, 110, 57, 117)(51, 111, 55, 115)(52, 112, 54, 114)(53, 113, 56, 116)(121, 181, 123, 183, 131, 191, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 144, 204, 129, 189)(124, 184, 132, 192, 147, 207, 153, 213, 135, 195)(126, 186, 133, 193, 148, 208, 154, 214, 137, 197)(128, 188, 140, 200, 157, 217, 163, 223, 143, 203)(130, 190, 141, 201, 158, 218, 164, 224, 145, 205)(134, 194, 149, 209, 167, 227, 171, 231, 152, 212)(138, 198, 150, 210, 168, 228, 172, 232, 155, 215)(142, 202, 159, 219, 174, 234, 178, 238, 162, 222)(146, 206, 160, 220, 175, 235, 179, 239, 165, 225)(151, 211, 169, 229, 173, 233, 156, 216, 170, 230)(161, 221, 176, 236, 180, 240, 166, 226, 177, 237)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 147)(12, 149)(13, 123)(14, 151)(15, 152)(16, 153)(17, 125)(18, 126)(19, 157)(20, 159)(21, 127)(22, 161)(23, 162)(24, 163)(25, 129)(26, 130)(27, 167)(28, 131)(29, 169)(30, 133)(31, 168)(32, 170)(33, 171)(34, 136)(35, 137)(36, 138)(37, 174)(38, 139)(39, 176)(40, 141)(41, 175)(42, 177)(43, 178)(44, 144)(45, 145)(46, 146)(47, 173)(48, 148)(49, 172)(50, 150)(51, 156)(52, 154)(53, 155)(54, 180)(55, 158)(56, 179)(57, 160)(58, 166)(59, 164)(60, 165)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1522
Graph:: simple bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^-5, Y3^-6 * Y2^-2, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-3 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 44, 104)(28, 88, 43, 103)(29, 89, 45, 105)(30, 90, 42, 102)(31, 91, 46, 106)(32, 92, 40, 100)(33, 93, 38, 98)(34, 94, 37, 97)(35, 95, 39, 99)(36, 96, 41, 101)(47, 107, 58, 118)(48, 108, 60, 120)(49, 109, 56, 116)(50, 110, 59, 119)(51, 111, 54, 114)(52, 112, 57, 117)(53, 113, 55, 115)(121, 181, 123, 183, 131, 191, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 144, 204, 129, 189)(124, 184, 132, 192, 147, 207, 153, 213, 135, 195)(126, 186, 133, 193, 148, 208, 154, 214, 137, 197)(128, 188, 140, 200, 157, 217, 163, 223, 143, 203)(130, 190, 141, 201, 158, 218, 164, 224, 145, 205)(134, 194, 149, 209, 167, 227, 173, 233, 152, 212)(138, 198, 150, 210, 168, 228, 171, 231, 155, 215)(142, 202, 159, 219, 174, 234, 180, 240, 162, 222)(146, 206, 160, 220, 175, 235, 178, 238, 165, 225)(151, 211, 169, 229, 156, 216, 170, 230, 172, 232)(161, 221, 176, 236, 166, 226, 177, 237, 179, 239)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 147)(12, 149)(13, 123)(14, 151)(15, 152)(16, 153)(17, 125)(18, 126)(19, 157)(20, 159)(21, 127)(22, 161)(23, 162)(24, 163)(25, 129)(26, 130)(27, 167)(28, 131)(29, 169)(30, 133)(31, 171)(32, 172)(33, 173)(34, 136)(35, 137)(36, 138)(37, 174)(38, 139)(39, 176)(40, 141)(41, 178)(42, 179)(43, 180)(44, 144)(45, 145)(46, 146)(47, 156)(48, 148)(49, 155)(50, 150)(51, 154)(52, 168)(53, 170)(54, 166)(55, 158)(56, 165)(57, 160)(58, 164)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1521
Graph:: simple bipartite
	v = 42 e = 120 f = 32
	degree seq :: [ 4^30, 10^12 ]

E24.1519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3 * Y1^-5, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y3^6, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 15, 75, 4, 64, 9, 69, 21, 81, 37, 97, 33, 93, 14, 74, 25, 85, 40, 100, 52, 112, 49, 109, 32, 92, 44, 104, 55, 115, 50, 110, 35, 95, 18, 78, 26, 86, 41, 101, 34, 94, 17, 77, 6, 66, 10, 70, 22, 82, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 38, 98, 23, 83, 12, 72, 28, 88, 45, 105, 53, 113, 42, 102, 30, 90, 46, 106, 57, 117, 60, 120, 56, 116, 48, 108, 58, 118, 59, 119, 54, 114, 43, 103, 31, 91, 47, 107, 51, 111, 39, 99, 24, 84, 13, 73, 29, 89, 36, 96, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 156, 216)(141, 201, 159, 219)(142, 202, 158, 218)(145, 205, 163, 223)(146, 206, 162, 222)(152, 212, 168, 228)(153, 213, 167, 227)(154, 214, 165, 225)(155, 215, 166, 226)(157, 217, 171, 231)(160, 220, 174, 234)(161, 221, 173, 233)(164, 224, 176, 236)(169, 229, 178, 238)(170, 230, 177, 237)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 139)(17, 125)(18, 126)(19, 157)(20, 158)(21, 160)(22, 127)(23, 162)(24, 128)(25, 164)(26, 130)(27, 165)(28, 166)(29, 131)(30, 168)(31, 133)(32, 138)(33, 169)(34, 136)(35, 137)(36, 147)(37, 172)(38, 173)(39, 140)(40, 175)(41, 142)(42, 176)(43, 144)(44, 146)(45, 177)(46, 178)(47, 149)(48, 151)(49, 155)(50, 154)(51, 156)(52, 170)(53, 180)(54, 159)(55, 161)(56, 163)(57, 179)(58, 167)(59, 171)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.1515
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 4^30, 60^2 ]

E24.1520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-6, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 14, 74, 25, 85, 40, 100, 52, 112, 49, 109, 35, 95, 44, 104, 33, 93, 17, 77, 6, 66, 10, 70, 22, 82, 15, 75, 4, 64, 9, 69, 21, 81, 37, 97, 32, 92, 43, 103, 54, 114, 50, 110, 34, 94, 18, 78, 26, 86, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 41, 101, 30, 90, 46, 106, 57, 117, 60, 120, 56, 116, 48, 108, 51, 111, 39, 99, 24, 84, 13, 73, 29, 89, 38, 98, 23, 83, 12, 72, 28, 88, 45, 105, 55, 115, 47, 107, 58, 118, 59, 119, 53, 113, 42, 102, 31, 91, 36, 96, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 156, 216)(141, 201, 159, 219)(142, 202, 158, 218)(145, 205, 162, 222)(146, 206, 161, 221)(152, 212, 168, 228)(153, 213, 165, 225)(154, 214, 166, 226)(155, 215, 167, 227)(157, 217, 171, 231)(160, 220, 173, 233)(163, 223, 176, 236)(164, 224, 175, 235)(169, 229, 178, 238)(170, 230, 177, 237)(172, 232, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 139)(16, 142)(17, 125)(18, 126)(19, 157)(20, 158)(21, 160)(22, 127)(23, 161)(24, 128)(25, 163)(26, 130)(27, 165)(28, 166)(29, 131)(30, 167)(31, 133)(32, 169)(33, 136)(34, 137)(35, 138)(36, 149)(37, 172)(38, 147)(39, 140)(40, 174)(41, 175)(42, 144)(43, 155)(44, 146)(45, 177)(46, 178)(47, 176)(48, 151)(49, 154)(50, 153)(51, 156)(52, 170)(53, 159)(54, 164)(55, 180)(56, 162)(57, 179)(58, 168)(59, 171)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.1516
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 4^30, 60^2 ]

E24.1521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^-5 * Y1^-5, Y1^30 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 35, 95, 49, 109, 48, 108, 34, 94, 18, 78, 26, 86, 15, 75, 4, 64, 9, 69, 21, 81, 37, 97, 51, 111, 47, 107, 33, 93, 17, 77, 6, 66, 10, 70, 22, 82, 14, 74, 25, 85, 40, 100, 53, 113, 46, 106, 32, 92, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 43, 103, 55, 115, 60, 120, 54, 114, 42, 102, 31, 91, 38, 98, 23, 83, 12, 72, 28, 88, 44, 104, 56, 116, 59, 119, 52, 112, 39, 99, 24, 84, 13, 73, 29, 89, 41, 101, 30, 90, 45, 105, 57, 117, 58, 118, 50, 110, 36, 96, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 156, 216)(141, 201, 159, 219)(142, 202, 158, 218)(145, 205, 162, 222)(146, 206, 161, 221)(152, 212, 163, 223)(153, 213, 164, 224)(154, 214, 165, 225)(155, 215, 170, 230)(157, 217, 172, 232)(160, 220, 174, 234)(166, 226, 175, 235)(167, 227, 176, 236)(168, 228, 177, 237)(169, 229, 178, 238)(171, 231, 179, 239)(173, 233, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 139)(15, 142)(16, 146)(17, 125)(18, 126)(19, 157)(20, 158)(21, 160)(22, 127)(23, 161)(24, 128)(25, 155)(26, 130)(27, 164)(28, 165)(29, 131)(30, 163)(31, 133)(32, 138)(33, 136)(34, 137)(35, 171)(36, 151)(37, 173)(38, 149)(39, 140)(40, 169)(41, 147)(42, 144)(43, 176)(44, 177)(45, 175)(46, 154)(47, 152)(48, 153)(49, 167)(50, 162)(51, 166)(52, 156)(53, 168)(54, 159)(55, 179)(56, 178)(57, 180)(58, 174)(59, 170)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.1518
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 4^30, 60^2 ]

E24.1522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), Y1 * Y3^-2 * Y1^-1 * Y3^2, Y3^-3 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 36, 96, 34, 94, 17, 77, 6, 66, 10, 70, 22, 82, 39, 99, 52, 112, 50, 110, 35, 95, 18, 78, 26, 86, 14, 74, 25, 85, 42, 102, 55, 115, 49, 109, 32, 92, 15, 75, 4, 64, 9, 69, 21, 81, 38, 98, 33, 93, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 45, 105, 54, 114, 41, 101, 24, 84, 13, 73, 29, 89, 47, 107, 57, 117, 60, 120, 56, 116, 44, 104, 31, 91, 43, 103, 30, 90, 48, 108, 58, 118, 59, 119, 53, 113, 40, 100, 23, 83, 12, 72, 28, 88, 46, 106, 51, 111, 37, 97, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 157, 217)(141, 201, 161, 221)(142, 202, 160, 220)(145, 205, 164, 224)(146, 206, 163, 223)(152, 212, 167, 227)(153, 213, 165, 225)(154, 214, 166, 226)(155, 215, 168, 228)(156, 216, 171, 231)(158, 218, 174, 234)(159, 219, 173, 233)(162, 222, 176, 236)(169, 229, 177, 237)(170, 230, 178, 238)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 142)(15, 146)(16, 152)(17, 125)(18, 126)(19, 158)(20, 160)(21, 162)(22, 127)(23, 163)(24, 128)(25, 159)(26, 130)(27, 166)(28, 168)(29, 131)(30, 167)(31, 133)(32, 138)(33, 169)(34, 136)(35, 137)(36, 153)(37, 173)(38, 175)(39, 139)(40, 151)(41, 140)(42, 172)(43, 149)(44, 144)(45, 171)(46, 178)(47, 147)(48, 177)(49, 155)(50, 154)(51, 179)(52, 156)(53, 164)(54, 157)(55, 170)(56, 161)(57, 165)(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) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E24.1517
Graph:: bipartite
	v = 32 e = 120 f = 42
	degree seq :: [ 4^30, 60^2 ]

E24.1523 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 30})
Quotient :: edge
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-2 * T1^-3, T2^2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2^2 * T1^-1)^2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^30 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 13, 30, 17, 5)(2, 7, 22, 34, 18, 14, 4, 12, 26, 8)(9, 27, 35, 33, 16, 31, 11, 29, 15, 28)(21, 36, 32, 40, 25, 39, 23, 38, 24, 37)(41, 51, 45, 55, 44, 54, 42, 53, 43, 52)(46, 56, 50, 60, 49, 59, 47, 58, 48, 57)(61, 62, 66, 78, 77, 86, 70, 82, 73, 64)(63, 69, 79, 76, 65, 75, 80, 95, 90, 71)(67, 81, 74, 85, 68, 84, 94, 92, 72, 83)(87, 101, 91, 104, 88, 103, 93, 105, 89, 102)(96, 106, 99, 109, 97, 108, 100, 110, 98, 107)(111, 116, 114, 119, 112, 117, 115, 120, 113, 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) :: { ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1530
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 10^12 ]

E24.1524 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 30})
Quotient :: edge
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2 * T1^-2, T2^-3 * T1 * T2^3 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-4, T2^-2 * T1^-1 * T2^-2 * T1^5, (T2^-1 * T1^-1)^10, T2^30 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 40, 55, 47, 29, 43, 59, 38, 18, 6, 17, 37, 58, 50, 28, 12, 21, 42, 60, 39, 19, 34, 54, 51, 33, 15, 5)(2, 7, 20, 41, 57, 48, 27, 14, 31, 45, 23, 9, 16, 35, 56, 52, 30, 13, 4, 11, 26, 46, 24, 36, 53, 49, 32, 44, 22, 8)(61, 62, 66, 76, 94, 113, 107, 87, 72, 64)(63, 69, 77, 96, 114, 108, 89, 73, 81, 68)(65, 71, 78, 67, 79, 95, 115, 109, 88, 74)(70, 84, 97, 117, 111, 90, 103, 82, 102, 83)(75, 91, 98, 86, 99, 80, 100, 116, 110, 92)(85, 101, 118, 112, 93, 104, 119, 105, 120, 106)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1528
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.1525 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 30})
Quotient :: edge
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2)^2, T2 * T1^-1 * T2 * T1^-3, T2 * T1^-1 * T2^-5 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 45, 20, 6, 19, 44, 58, 50, 23, 41, 36, 53, 59, 47, 21, 46, 25, 52, 60, 49, 35, 13, 24, 51, 40, 17, 5)(2, 7, 22, 48, 32, 11, 18, 42, 39, 55, 28, 9, 27, 16, 38, 57, 31, 43, 34, 15, 37, 56, 29, 14, 4, 12, 33, 54, 26, 8)(61, 62, 66, 78, 101, 87, 106, 94, 73, 64)(63, 69, 79, 103, 96, 74, 85, 68, 84, 71)(65, 75, 80, 72, 83, 67, 81, 102, 95, 76)(70, 89, 104, 86, 113, 92, 112, 88, 111, 91)(77, 99, 105, 98, 110, 97, 107, 93, 109, 82)(90, 108, 118, 115, 119, 117, 120, 116, 100, 114)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1529
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.1526 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 30})
Quotient :: edge
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^2, T1 * T2 * T1 * T2 * T1^2, (T2^-1 * T1 * T2^-1)^2, T1 * T2^-5 * T1 * T2, (T2 * T1^-3)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 46, 21, 13, 32, 53, 60, 50, 23, 49, 24, 51, 59, 47, 35, 41, 25, 52, 58, 45, 20, 6, 19, 43, 40, 17, 5)(2, 7, 22, 48, 36, 14, 4, 12, 34, 55, 28, 9, 27, 44, 39, 57, 33, 11, 31, 15, 37, 56, 29, 42, 18, 16, 38, 54, 26, 8)(61, 62, 66, 78, 101, 91, 109, 87, 73, 64)(63, 69, 79, 74, 85, 68, 84, 102, 92, 71)(65, 75, 80, 104, 95, 72, 83, 67, 81, 76)(70, 89, 103, 93, 112, 88, 111, 96, 113, 86)(77, 94, 105, 82, 107, 98, 110, 97, 106, 99)(90, 108, 100, 114, 118, 116, 119, 117, 120, 115)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^10 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1527
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 10^6, 30^2 ]

E24.1527 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 30})
Quotient :: loop
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, T1^10, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^30 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 6, 66, 15, 75, 26, 86, 43, 103, 37, 97, 23, 83, 11, 71, 5, 65)(2, 62, 7, 67, 14, 74, 27, 87, 42, 102, 38, 98, 22, 82, 12, 72, 4, 64, 8, 68)(9, 69, 19, 79, 28, 88, 45, 105, 39, 99, 25, 85, 13, 73, 21, 81, 10, 70, 20, 80)(16, 76, 29, 89, 44, 104, 40, 100, 24, 84, 32, 92, 18, 78, 31, 91, 17, 77, 30, 90)(33, 93, 51, 111, 41, 101, 55, 115, 36, 96, 54, 114, 35, 95, 53, 113, 34, 94, 52, 112)(46, 106, 56, 116, 50, 110, 60, 120, 49, 109, 59, 119, 48, 108, 58, 118, 47, 107, 57, 117)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 70)(6, 74)(7, 76)(8, 77)(9, 75)(10, 63)(11, 64)(12, 78)(13, 65)(14, 86)(15, 88)(16, 87)(17, 67)(18, 68)(19, 93)(20, 94)(21, 95)(22, 71)(23, 73)(24, 72)(25, 96)(26, 102)(27, 104)(28, 103)(29, 106)(30, 107)(31, 108)(32, 109)(33, 105)(34, 79)(35, 80)(36, 81)(37, 82)(38, 84)(39, 83)(40, 110)(41, 85)(42, 97)(43, 99)(44, 98)(45, 101)(46, 100)(47, 89)(48, 90)(49, 91)(50, 92)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 115)(57, 111)(58, 112)(59, 113)(60, 114)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1526
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.1528 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 30})
Quotient :: loop
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-2 * T1^-3, T2^2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2^2 * T1^-1)^2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^30 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 20, 80, 6, 66, 19, 79, 13, 73, 30, 90, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 34, 94, 18, 78, 14, 74, 4, 64, 12, 72, 26, 86, 8, 68)(9, 69, 27, 87, 35, 95, 33, 93, 16, 76, 31, 91, 11, 71, 29, 89, 15, 75, 28, 88)(21, 81, 36, 96, 32, 92, 40, 100, 25, 85, 39, 99, 23, 83, 38, 98, 24, 84, 37, 97)(41, 101, 51, 111, 45, 105, 55, 115, 44, 104, 54, 114, 42, 102, 53, 113, 43, 103, 52, 112)(46, 106, 56, 116, 50, 110, 60, 120, 49, 109, 59, 119, 47, 107, 58, 118, 48, 108, 57, 117)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 79)(10, 82)(11, 63)(12, 83)(13, 64)(14, 85)(15, 80)(16, 65)(17, 86)(18, 77)(19, 76)(20, 95)(21, 74)(22, 73)(23, 67)(24, 94)(25, 68)(26, 70)(27, 101)(28, 103)(29, 102)(30, 71)(31, 104)(32, 72)(33, 105)(34, 92)(35, 90)(36, 106)(37, 108)(38, 107)(39, 109)(40, 110)(41, 91)(42, 87)(43, 93)(44, 88)(45, 89)(46, 99)(47, 96)(48, 100)(49, 97)(50, 98)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 114)(57, 115)(58, 111)(59, 112)(60, 113)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1524
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.1529 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 30})
Quotient :: loop
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2^-1 * T1^2)^2, T2^-4 * T1^-2, (T2^-2 * T1^-1)^2, T1^-2 * T2^2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 29, 89, 13, 73, 20, 80, 6, 66, 19, 79, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 14, 74, 4, 64, 12, 72, 18, 78, 34, 94, 26, 86, 8, 68)(9, 69, 27, 87, 16, 76, 31, 91, 11, 71, 30, 90, 35, 95, 33, 93, 15, 75, 28, 88)(21, 81, 36, 96, 25, 85, 39, 99, 23, 83, 38, 98, 32, 92, 40, 100, 24, 84, 37, 97)(41, 101, 51, 111, 44, 104, 54, 114, 42, 102, 53, 113, 45, 105, 55, 115, 43, 103, 52, 112)(46, 106, 56, 116, 49, 109, 59, 119, 47, 107, 58, 118, 50, 110, 60, 120, 48, 108, 57, 117)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 79)(10, 82)(11, 63)(12, 83)(13, 64)(14, 85)(15, 80)(16, 65)(17, 86)(18, 70)(19, 95)(20, 71)(21, 94)(22, 77)(23, 67)(24, 72)(25, 68)(26, 73)(27, 101)(28, 103)(29, 76)(30, 102)(31, 104)(32, 74)(33, 105)(34, 92)(35, 89)(36, 106)(37, 108)(38, 107)(39, 109)(40, 110)(41, 93)(42, 87)(43, 90)(44, 88)(45, 91)(46, 100)(47, 96)(48, 98)(49, 97)(50, 99)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 115)(57, 113)(58, 111)(59, 112)(60, 114)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1525
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.1530 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 30})
Quotient :: loop
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2 * T1^-2, T2^-3 * T1 * T2^3 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-4, T2^-2 * T1^-1 * T2^-2 * T1^5, (T2^-1 * T1^-1)^10, T2^30 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 25, 85, 40, 100, 55, 115, 47, 107, 29, 89, 43, 103, 59, 119, 38, 98, 18, 78, 6, 66, 17, 77, 37, 97, 58, 118, 50, 110, 28, 88, 12, 72, 21, 81, 42, 102, 60, 120, 39, 99, 19, 79, 34, 94, 54, 114, 51, 111, 33, 93, 15, 75, 5, 65)(2, 62, 7, 67, 20, 80, 41, 101, 57, 117, 48, 108, 27, 87, 14, 74, 31, 91, 45, 105, 23, 83, 9, 69, 16, 76, 35, 95, 56, 116, 52, 112, 30, 90, 13, 73, 4, 64, 11, 71, 26, 86, 46, 106, 24, 84, 36, 96, 53, 113, 49, 109, 32, 92, 44, 104, 22, 82, 8, 68)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 71)(6, 76)(7, 79)(8, 63)(9, 77)(10, 84)(11, 78)(12, 64)(13, 81)(14, 65)(15, 91)(16, 94)(17, 96)(18, 67)(19, 95)(20, 100)(21, 68)(22, 102)(23, 70)(24, 97)(25, 101)(26, 99)(27, 72)(28, 74)(29, 73)(30, 103)(31, 98)(32, 75)(33, 104)(34, 113)(35, 115)(36, 114)(37, 117)(38, 86)(39, 80)(40, 116)(41, 118)(42, 83)(43, 82)(44, 119)(45, 120)(46, 85)(47, 87)(48, 89)(49, 88)(50, 92)(51, 90)(52, 93)(53, 107)(54, 108)(55, 109)(56, 110)(57, 111)(58, 112)(59, 105)(60, 106)
	local type(s) :: { ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1523
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.1531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y2^2 * Y3 * Y2^2 * Y1^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3^2 * Y2^-2 * Y1^-2, Y2^-3 * Y1 * Y3^-1 * Y2^-1, (R * Y2^-2)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y1^10, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1 * Y2 * Y3^-1 * Y2^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 17, 77, 26, 86, 10, 70, 22, 82, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 16, 76, 5, 65, 15, 75, 20, 80, 35, 95, 30, 90, 11, 71)(7, 67, 21, 81, 14, 74, 25, 85, 8, 68, 24, 84, 34, 94, 32, 92, 12, 72, 23, 83)(27, 87, 41, 101, 31, 91, 44, 104, 28, 88, 43, 103, 33, 93, 45, 105, 29, 89, 42, 102)(36, 96, 46, 106, 39, 99, 49, 109, 37, 97, 48, 108, 40, 100, 50, 110, 38, 98, 47, 107)(51, 111, 56, 116, 54, 114, 59, 119, 52, 112, 57, 117, 55, 115, 60, 120, 53, 113, 58, 118)(121, 181, 123, 183, 130, 190, 140, 200, 126, 186, 139, 199, 133, 193, 150, 210, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 154, 214, 138, 198, 134, 194, 124, 184, 132, 192, 146, 206, 128, 188)(129, 189, 147, 207, 155, 215, 153, 213, 136, 196, 151, 211, 131, 191, 149, 209, 135, 195, 148, 208)(141, 201, 156, 216, 152, 212, 160, 220, 145, 205, 159, 219, 143, 203, 158, 218, 144, 204, 157, 217)(161, 221, 171, 231, 165, 225, 175, 235, 164, 224, 174, 234, 162, 222, 173, 233, 163, 223, 172, 232)(166, 226, 176, 236, 170, 230, 180, 240, 169, 229, 179, 239, 167, 227, 178, 238, 168, 228, 177, 237)
	L = (1, 124)(2, 121)(3, 131)(4, 133)(5, 136)(6, 122)(7, 143)(8, 145)(9, 123)(10, 146)(11, 150)(12, 152)(13, 142)(14, 141)(15, 125)(16, 139)(17, 138)(18, 126)(19, 129)(20, 135)(21, 127)(22, 130)(23, 132)(24, 128)(25, 134)(26, 137)(27, 162)(28, 164)(29, 165)(30, 155)(31, 161)(32, 154)(33, 163)(34, 144)(35, 140)(36, 167)(37, 169)(38, 170)(39, 166)(40, 168)(41, 147)(42, 149)(43, 148)(44, 151)(45, 153)(46, 156)(47, 158)(48, 157)(49, 159)(50, 160)(51, 178)(52, 179)(53, 180)(54, 176)(55, 177)(56, 171)(57, 172)(58, 173)(59, 174)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1538
Graph:: bipartite
	v = 12 e = 120 f = 62
	degree seq :: [ 20^12 ]

E24.1532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2 * Y1^-2 * Y2^-1 * Y1^2, Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y1^-3 * Y2^-1 * Y1^-5, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^10, Y1 * Y2^2 * Y1 * Y2^26 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 16, 76, 34, 94, 53, 113, 47, 107, 27, 87, 12, 72, 4, 64)(3, 63, 9, 69, 17, 77, 36, 96, 54, 114, 48, 108, 29, 89, 13, 73, 21, 81, 8, 68)(5, 65, 11, 71, 18, 78, 7, 67, 19, 79, 35, 95, 55, 115, 49, 109, 28, 88, 14, 74)(10, 70, 24, 84, 37, 97, 57, 117, 51, 111, 30, 90, 43, 103, 22, 82, 42, 102, 23, 83)(15, 75, 31, 91, 38, 98, 26, 86, 39, 99, 20, 80, 40, 100, 56, 116, 50, 110, 32, 92)(25, 85, 41, 101, 58, 118, 52, 112, 33, 93, 44, 104, 59, 119, 45, 105, 60, 120, 46, 106)(121, 181, 123, 183, 130, 190, 145, 205, 160, 220, 175, 235, 167, 227, 149, 209, 163, 223, 179, 239, 158, 218, 138, 198, 126, 186, 137, 197, 157, 217, 178, 238, 170, 230, 148, 208, 132, 192, 141, 201, 162, 222, 180, 240, 159, 219, 139, 199, 154, 214, 174, 234, 171, 231, 153, 213, 135, 195, 125, 185)(122, 182, 127, 187, 140, 200, 161, 221, 177, 237, 168, 228, 147, 207, 134, 194, 151, 211, 165, 225, 143, 203, 129, 189, 136, 196, 155, 215, 176, 236, 172, 232, 150, 210, 133, 193, 124, 184, 131, 191, 146, 206, 166, 226, 144, 204, 156, 216, 173, 233, 169, 229, 152, 212, 164, 224, 142, 202, 128, 188)
	L = (1, 123)(2, 127)(3, 130)(4, 131)(5, 121)(6, 137)(7, 140)(8, 122)(9, 136)(10, 145)(11, 146)(12, 141)(13, 124)(14, 151)(15, 125)(16, 155)(17, 157)(18, 126)(19, 154)(20, 161)(21, 162)(22, 128)(23, 129)(24, 156)(25, 160)(26, 166)(27, 134)(28, 132)(29, 163)(30, 133)(31, 165)(32, 164)(33, 135)(34, 174)(35, 176)(36, 173)(37, 178)(38, 138)(39, 139)(40, 175)(41, 177)(42, 180)(43, 179)(44, 142)(45, 143)(46, 144)(47, 149)(48, 147)(49, 152)(50, 148)(51, 153)(52, 150)(53, 169)(54, 171)(55, 167)(56, 172)(57, 168)(58, 170)(59, 158)(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) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E24.1537
Graph:: bipartite
	v = 8 e = 120 f = 66
	degree seq :: [ 20^6, 60^2 ]

E24.1533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1 * Y2)^2, Y1^-3 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, (Y2^-1 * Y1^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4 * Y1^-2 * Y2^2, Y2^2 * Y1^3 * Y2^2 * Y1^-1, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 41, 101, 27, 87, 46, 106, 34, 94, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 43, 103, 36, 96, 14, 74, 25, 85, 8, 68, 24, 84, 11, 71)(5, 65, 15, 75, 20, 80, 12, 72, 23, 83, 7, 67, 21, 81, 42, 102, 35, 95, 16, 76)(10, 70, 29, 89, 44, 104, 26, 86, 53, 113, 32, 92, 52, 112, 28, 88, 51, 111, 31, 91)(17, 77, 39, 99, 45, 105, 38, 98, 50, 110, 37, 97, 47, 107, 33, 93, 49, 109, 22, 82)(30, 90, 48, 108, 58, 118, 55, 115, 59, 119, 57, 117, 60, 120, 56, 116, 40, 100, 54, 114)(121, 181, 123, 183, 130, 190, 150, 210, 165, 225, 140, 200, 126, 186, 139, 199, 164, 224, 178, 238, 170, 230, 143, 203, 161, 221, 156, 216, 173, 233, 179, 239, 167, 227, 141, 201, 166, 226, 145, 205, 172, 232, 180, 240, 169, 229, 155, 215, 133, 193, 144, 204, 171, 231, 160, 220, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 168, 228, 152, 212, 131, 191, 138, 198, 162, 222, 159, 219, 175, 235, 148, 208, 129, 189, 147, 207, 136, 196, 158, 218, 177, 237, 151, 211, 163, 223, 154, 214, 135, 195, 157, 217, 176, 236, 149, 209, 134, 194, 124, 184, 132, 192, 153, 213, 174, 234, 146, 206, 128, 188)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 138)(12, 153)(13, 144)(14, 124)(15, 157)(16, 158)(17, 125)(18, 162)(19, 164)(20, 126)(21, 166)(22, 168)(23, 161)(24, 171)(25, 172)(26, 128)(27, 136)(28, 129)(29, 134)(30, 165)(31, 163)(32, 131)(33, 174)(34, 135)(35, 133)(36, 173)(37, 176)(38, 177)(39, 175)(40, 137)(41, 156)(42, 159)(43, 154)(44, 178)(45, 140)(46, 145)(47, 141)(48, 152)(49, 155)(50, 143)(51, 160)(52, 180)(53, 179)(54, 146)(55, 148)(56, 149)(57, 151)(58, 170)(59, 167)(60, 169)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E24.1535
Graph:: bipartite
	v = 8 e = 120 f = 66
	degree seq :: [ 20^6, 60^2 ]

E24.1534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2 * Y1 * Y2 * Y1, Y1^2 * Y2 * Y1 * Y2 * Y1, (Y2^2 * Y1^-1)^2, Y1 * Y2^-5 * Y1 * Y2, (Y2 * Y1^-3)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 41, 101, 31, 91, 49, 109, 27, 87, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 14, 74, 25, 85, 8, 68, 24, 84, 42, 102, 32, 92, 11, 71)(5, 65, 15, 75, 20, 80, 44, 104, 35, 95, 12, 72, 23, 83, 7, 67, 21, 81, 16, 76)(10, 70, 29, 89, 43, 103, 33, 93, 52, 112, 28, 88, 51, 111, 36, 96, 53, 113, 26, 86)(17, 77, 34, 94, 45, 105, 22, 82, 47, 107, 38, 98, 50, 110, 37, 97, 46, 106, 39, 99)(30, 90, 48, 108, 40, 100, 54, 114, 58, 118, 56, 116, 59, 119, 57, 117, 60, 120, 55, 115)(121, 181, 123, 183, 130, 190, 150, 210, 166, 226, 141, 201, 133, 193, 152, 212, 173, 233, 180, 240, 170, 230, 143, 203, 169, 229, 144, 204, 171, 231, 179, 239, 167, 227, 155, 215, 161, 221, 145, 205, 172, 232, 178, 238, 165, 225, 140, 200, 126, 186, 139, 199, 163, 223, 160, 220, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 168, 228, 156, 216, 134, 194, 124, 184, 132, 192, 154, 214, 175, 235, 148, 208, 129, 189, 147, 207, 164, 224, 159, 219, 177, 237, 153, 213, 131, 191, 151, 211, 135, 195, 157, 217, 176, 236, 149, 209, 162, 222, 138, 198, 136, 196, 158, 218, 174, 234, 146, 206, 128, 188)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 151)(12, 154)(13, 152)(14, 124)(15, 157)(16, 158)(17, 125)(18, 136)(19, 163)(20, 126)(21, 133)(22, 168)(23, 169)(24, 171)(25, 172)(26, 128)(27, 164)(28, 129)(29, 162)(30, 166)(31, 135)(32, 173)(33, 131)(34, 175)(35, 161)(36, 134)(37, 176)(38, 174)(39, 177)(40, 137)(41, 145)(42, 138)(43, 160)(44, 159)(45, 140)(46, 141)(47, 155)(48, 156)(49, 144)(50, 143)(51, 179)(52, 178)(53, 180)(54, 146)(55, 148)(56, 149)(57, 153)(58, 165)(59, 167)(60, 170)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E24.1536
Graph:: bipartite
	v = 8 e = 120 f = 66
	degree seq :: [ 20^6, 60^2 ]

E24.1535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2 * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y3 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, (R * Y2^-2)^2, Y3^4 * Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^7, (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, 136, 196, 154, 214, 173, 233, 172, 232, 147, 207, 133, 193, 124, 184)(123, 183, 129, 189, 137, 197, 128, 188, 141, 201, 155, 215, 175, 235, 169, 229, 148, 208, 131, 191)(125, 185, 134, 194, 138, 198, 157, 217, 174, 234, 171, 231, 150, 210, 132, 192, 140, 200, 127, 187)(130, 190, 144, 204, 156, 216, 143, 203, 162, 222, 142, 202, 163, 223, 176, 236, 170, 230, 146, 206)(135, 195, 152, 212, 158, 218, 178, 238, 167, 227, 149, 209, 161, 221, 139, 199, 159, 219, 151, 211)(145, 205, 160, 220, 177, 237, 166, 226, 180, 240, 165, 225, 153, 213, 164, 224, 179, 239, 168, 228)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 137)(7, 139)(8, 122)(9, 124)(10, 145)(11, 147)(12, 149)(13, 148)(14, 151)(15, 125)(16, 134)(17, 156)(18, 126)(19, 160)(20, 133)(21, 162)(22, 128)(23, 129)(24, 131)(25, 167)(26, 169)(27, 171)(28, 170)(29, 168)(30, 172)(31, 166)(32, 165)(33, 135)(34, 141)(35, 136)(36, 177)(37, 152)(38, 138)(39, 140)(40, 146)(41, 150)(42, 180)(43, 153)(44, 142)(45, 143)(46, 144)(47, 174)(48, 176)(49, 173)(50, 179)(51, 178)(52, 175)(53, 157)(54, 154)(55, 163)(56, 155)(57, 161)(58, 164)(59, 158)(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) :: { ( 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 E24.1533
Graph:: simple bipartite
	v = 66 e = 120 f = 8
	degree seq :: [ 2^60, 20^6 ]

E24.1536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-2 * Y3 * Y2^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y3^-2 * Y2^-1)^2, Y3 * Y2^-1 * Y3^-5 * Y2^-1, Y2^-1 * Y3^2 * Y2^2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y2^5, (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, 138, 198, 161, 221, 147, 207, 166, 226, 154, 214, 133, 193, 124, 184)(123, 183, 129, 189, 139, 199, 163, 223, 156, 216, 134, 194, 145, 205, 128, 188, 144, 204, 131, 191)(125, 185, 135, 195, 140, 200, 132, 192, 143, 203, 127, 187, 141, 201, 162, 222, 155, 215, 136, 196)(130, 190, 149, 209, 164, 224, 146, 206, 173, 233, 152, 212, 172, 232, 148, 208, 171, 231, 151, 211)(137, 197, 159, 219, 165, 225, 158, 218, 170, 230, 157, 217, 167, 227, 153, 213, 169, 229, 142, 202)(150, 210, 168, 228, 178, 238, 175, 235, 179, 239, 177, 237, 180, 240, 176, 236, 160, 220, 174, 234)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 138)(12, 153)(13, 144)(14, 124)(15, 157)(16, 158)(17, 125)(18, 162)(19, 164)(20, 126)(21, 166)(22, 168)(23, 161)(24, 171)(25, 172)(26, 128)(27, 136)(28, 129)(29, 134)(30, 165)(31, 163)(32, 131)(33, 174)(34, 135)(35, 133)(36, 173)(37, 176)(38, 177)(39, 175)(40, 137)(41, 156)(42, 159)(43, 154)(44, 178)(45, 140)(46, 145)(47, 141)(48, 152)(49, 155)(50, 143)(51, 160)(52, 180)(53, 179)(54, 146)(55, 148)(56, 149)(57, 151)(58, 170)(59, 167)(60, 169)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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 E24.1534
Graph:: simple bipartite
	v = 66 e = 120 f = 8
	degree seq :: [ 2^60, 20^6 ]

E24.1537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^2 * Y2^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-5 * Y2^-2 * Y3^-1, (Y3 * Y2^-3)^2, (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, 138, 198, 161, 221, 151, 211, 169, 229, 147, 207, 133, 193, 124, 184)(123, 183, 129, 189, 139, 199, 134, 194, 145, 205, 128, 188, 144, 204, 162, 222, 152, 212, 131, 191)(125, 185, 135, 195, 140, 200, 164, 224, 155, 215, 132, 192, 143, 203, 127, 187, 141, 201, 136, 196)(130, 190, 149, 209, 163, 223, 153, 213, 172, 232, 148, 208, 171, 231, 156, 216, 173, 233, 146, 206)(137, 197, 154, 214, 165, 225, 142, 202, 167, 227, 158, 218, 170, 230, 157, 217, 166, 226, 159, 219)(150, 210, 168, 228, 160, 220, 174, 234, 178, 238, 176, 236, 179, 239, 177, 237, 180, 240, 175, 235)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 151)(12, 154)(13, 152)(14, 124)(15, 157)(16, 158)(17, 125)(18, 136)(19, 163)(20, 126)(21, 133)(22, 168)(23, 169)(24, 171)(25, 172)(26, 128)(27, 164)(28, 129)(29, 162)(30, 166)(31, 135)(32, 173)(33, 131)(34, 175)(35, 161)(36, 134)(37, 176)(38, 174)(39, 177)(40, 137)(41, 145)(42, 138)(43, 160)(44, 159)(45, 140)(46, 141)(47, 155)(48, 156)(49, 144)(50, 143)(51, 179)(52, 178)(53, 180)(54, 146)(55, 148)(56, 149)(57, 153)(58, 165)(59, 167)(60, 170)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1532
Graph:: simple bipartite
	v = 66 e = 120 f = 8
	degree seq :: [ 2^60, 20^6 ]

E24.1538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3^3 * Y1^-2 * Y3 * Y1^-2, Y3 * Y1^3 * Y3^-1 * Y1^-3, (Y1^-2 * Y3^-1 * Y1^-2)^2, Y3^-3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 16, 76, 34, 94, 53, 113, 52, 112, 33, 93, 44, 104, 60, 120, 46, 106, 25, 85, 10, 70, 20, 80, 38, 98, 56, 116, 50, 110, 31, 91, 15, 75, 22, 82, 40, 100, 57, 117, 45, 105, 24, 84, 42, 102, 59, 119, 47, 107, 28, 88, 12, 72, 4, 64)(3, 63, 9, 69, 23, 83, 35, 95, 55, 115, 51, 111, 30, 90, 13, 73, 27, 87, 39, 99, 18, 78, 7, 67, 19, 79, 41, 101, 54, 114, 48, 108, 32, 92, 14, 74, 5, 65, 11, 71, 26, 86, 36, 96, 17, 77, 37, 97, 58, 118, 49, 109, 29, 89, 43, 103, 21, 81, 8, 68)(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, 131)(5, 121)(6, 137)(7, 140)(8, 122)(9, 144)(10, 139)(11, 145)(12, 147)(13, 124)(14, 142)(15, 125)(16, 155)(17, 158)(18, 126)(19, 162)(20, 157)(21, 160)(22, 128)(23, 154)(24, 161)(25, 129)(26, 165)(27, 166)(28, 163)(29, 132)(30, 135)(31, 133)(32, 164)(33, 134)(34, 174)(35, 176)(36, 136)(37, 179)(38, 175)(39, 177)(40, 138)(41, 173)(42, 178)(43, 180)(44, 141)(45, 143)(46, 146)(47, 152)(48, 148)(49, 151)(50, 149)(51, 153)(52, 150)(53, 169)(54, 170)(55, 167)(56, 168)(57, 156)(58, 172)(59, 171)(60, 159)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1531
Graph:: simple bipartite
	v = 62 e = 120 f = 12
	degree seq :: [ 2^60, 60^2 ]

E24.1539 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 30, 30})
Quotient :: edge
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^-2 * T2^-10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 46, 34, 22, 11, 21, 33, 45, 57, 60, 52, 40, 28, 16, 6, 15, 27, 39, 51, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 47, 35, 23, 12, 4, 10, 20, 32, 44, 56, 59, 50, 38, 26, 14, 25, 37, 49, 58, 54, 42, 30, 18, 8)(61, 62, 66, 74, 71, 64)(63, 67, 75, 85, 81, 70)(65, 68, 76, 86, 82, 72)(69, 77, 87, 97, 93, 80)(73, 78, 88, 98, 94, 83)(79, 89, 99, 109, 105, 92)(84, 90, 100, 110, 106, 95)(91, 101, 111, 118, 117, 104)(96, 102, 112, 119, 115, 107)(103, 113, 108, 114, 120, 116)
	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) :: { ( 60^6 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1540
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 6^10, 30^2 ]

E24.1540 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 30, 30})
Quotient :: loop
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^-2 * T2^-10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 31, 91, 43, 103, 55, 115, 46, 106, 34, 94, 22, 82, 11, 71, 21, 81, 33, 93, 45, 105, 57, 117, 60, 120, 52, 112, 40, 100, 28, 88, 16, 76, 6, 66, 15, 75, 27, 87, 39, 99, 51, 111, 48, 108, 36, 96, 24, 84, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 29, 89, 41, 101, 53, 113, 47, 107, 35, 95, 23, 83, 12, 72, 4, 64, 10, 70, 20, 80, 32, 92, 44, 104, 56, 116, 59, 119, 50, 110, 38, 98, 26, 86, 14, 74, 25, 85, 37, 97, 49, 109, 58, 118, 54, 114, 42, 102, 30, 90, 18, 78, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 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, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 79)(33, 80)(34, 83)(35, 84)(36, 102)(37, 93)(38, 94)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 91)(45, 92)(46, 95)(47, 96)(48, 114)(49, 105)(50, 106)(51, 118)(52, 119)(53, 108)(54, 120)(55, 107)(56, 103)(57, 104)(58, 117)(59, 115)(60, 116)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E24.1539
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.1541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 30, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3^6, Y1^6, Y2^-3 * Y3 * Y2^-7 * Y1^-1, Y2^-2 * Y3^-1 * Y2^3 * Y1 * Y3^-1 * Y2^3 * Y1 * Y3^-1 * Y2^3 * Y1 * Y3^-1 * Y2^3 * Y1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 25, 85, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 26, 86, 22, 82, 12, 72)(9, 69, 17, 77, 27, 87, 37, 97, 33, 93, 20, 80)(13, 73, 18, 78, 28, 88, 38, 98, 34, 94, 23, 83)(19, 79, 29, 89, 39, 99, 49, 109, 45, 105, 32, 92)(24, 84, 30, 90, 40, 100, 50, 110, 46, 106, 35, 95)(31, 91, 41, 101, 51, 111, 58, 118, 57, 117, 44, 104)(36, 96, 42, 102, 52, 112, 59, 119, 55, 115, 47, 107)(43, 103, 53, 113, 48, 108, 54, 114, 60, 120, 56, 116)(121, 181, 123, 183, 129, 189, 139, 199, 151, 211, 163, 223, 175, 235, 166, 226, 154, 214, 142, 202, 131, 191, 141, 201, 153, 213, 165, 225, 177, 237, 180, 240, 172, 232, 160, 220, 148, 208, 136, 196, 126, 186, 135, 195, 147, 207, 159, 219, 171, 231, 168, 228, 156, 216, 144, 204, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 173, 233, 167, 227, 155, 215, 143, 203, 132, 192, 124, 184, 130, 190, 140, 200, 152, 212, 164, 224, 176, 236, 179, 239, 170, 230, 158, 218, 146, 206, 134, 194, 145, 205, 157, 217, 169, 229, 178, 238, 174, 234, 162, 222, 150, 210, 138, 198, 128, 188)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 134)(12, 142)(13, 143)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 152)(20, 153)(21, 145)(22, 146)(23, 154)(24, 155)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 144)(31, 164)(32, 165)(33, 157)(34, 158)(35, 166)(36, 167)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 156)(43, 176)(44, 177)(45, 169)(46, 170)(47, 175)(48, 173)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 168)(55, 179)(56, 180)(57, 178)(58, 171)(59, 172)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 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 E24.1542
Graph:: bipartite
	v = 12 e = 120 f = 62
	degree seq :: [ 12^10, 60^2 ]

E24.1542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 30, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-7, (Y3 * Y2^-1)^6, Y1^4 * Y3^-1 * Y1 * Y3^-1 * Y1^4 * Y3^-2 * Y1, (Y1^-1 * Y3^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 25, 85, 37, 97, 49, 109, 48, 108, 36, 96, 24, 84, 13, 73, 18, 78, 29, 89, 41, 101, 53, 113, 59, 119, 56, 116, 44, 104, 32, 92, 20, 80, 9, 69, 17, 77, 28, 88, 40, 100, 52, 112, 46, 106, 34, 94, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 26, 86, 38, 98, 50, 110, 47, 107, 35, 95, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 27, 87, 39, 99, 51, 111, 58, 118, 55, 115, 43, 103, 31, 91, 19, 79, 30, 90, 42, 102, 54, 114, 60, 120, 57, 117, 45, 105, 33, 93, 21, 81, 10, 70)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 146)(15, 148)(16, 126)(17, 150)(18, 128)(19, 133)(20, 151)(21, 152)(22, 153)(23, 131)(24, 132)(25, 158)(26, 160)(27, 134)(28, 162)(29, 136)(30, 138)(31, 144)(32, 163)(33, 164)(34, 165)(35, 142)(36, 143)(37, 170)(38, 172)(39, 145)(40, 174)(41, 147)(42, 149)(43, 156)(44, 175)(45, 176)(46, 177)(47, 154)(48, 155)(49, 167)(50, 166)(51, 157)(52, 180)(53, 159)(54, 161)(55, 168)(56, 178)(57, 179)(58, 169)(59, 171)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1541
Graph:: simple bipartite
	v = 62 e = 120 f = 12
	degree seq :: [ 2^60, 60^2 ]

E24.1543 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 20, 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), T1^6, T1^3 * T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 50, 38, 26, 14, 25, 37, 49, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 58, 46, 34, 22, 11, 21, 33, 45, 57, 54, 42, 30, 18, 8)(4, 10, 20, 32, 44, 56, 52, 40, 28, 16, 6, 15, 27, 39, 51, 59, 47, 35, 23, 12)(61, 62, 66, 74, 71, 64)(63, 67, 75, 85, 81, 70)(65, 68, 76, 86, 82, 72)(69, 77, 87, 97, 93, 80)(73, 78, 88, 98, 94, 83)(79, 89, 99, 109, 105, 92)(84, 90, 100, 110, 106, 95)(91, 101, 111, 120, 117, 104)(96, 102, 112, 115, 118, 107)(103, 113, 119, 108, 114, 116)
	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) :: { ( 120^6 ), ( 120^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1547
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 60 f = 1
	degree seq :: [ 6^10, 20^3 ]

E24.1544 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 20, 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, (T2^-1, T1^-1), (F * T1)^2, T2^9 * T1^-1, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-4, (T1^-1 * T2^-1)^6, T1^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 50, 32, 18, 8, 2, 7, 17, 31, 49, 60, 48, 30, 16, 6, 15, 29, 47, 59, 52, 37, 46, 28, 14, 27, 45, 58, 53, 38, 22, 36, 44, 26, 43, 57, 54, 39, 23, 11, 21, 35, 42, 56, 55, 40, 24, 12, 4, 10, 20, 34, 51, 41, 25, 13, 5)(61, 62, 66, 74, 86, 102, 94, 79, 91, 107, 118, 114, 100, 85, 92, 108, 97, 82, 71, 64)(63, 67, 75, 87, 103, 116, 111, 93, 109, 119, 113, 99, 84, 73, 78, 90, 106, 96, 81, 70)(65, 68, 76, 88, 104, 95, 80, 69, 77, 89, 105, 117, 115, 101, 110, 120, 112, 98, 83, 72)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12^20 ), ( 12^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1548
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 60 f = 10
	degree seq :: [ 20^3, 60 ]

E24.1545 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 20, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^10 * T2, T1^3 * T2^-2 * T1^-4 * T2^2 * T1, (T1^-1 * T2^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 13, 5)(2, 7, 17, 30, 18, 8)(4, 10, 20, 31, 24, 12)(6, 15, 28, 42, 29, 16)(11, 21, 32, 43, 36, 23)(14, 26, 40, 52, 41, 27)(22, 33, 44, 53, 48, 35)(25, 38, 50, 58, 51, 39)(34, 45, 54, 59, 56, 47)(37, 46, 55, 60, 57, 49)(61, 62, 66, 74, 85, 97, 107, 95, 83, 72, 65, 68, 76, 87, 99, 109, 116, 108, 96, 84, 73, 78, 89, 101, 111, 117, 119, 113, 103, 91, 79, 90, 102, 112, 118, 120, 114, 104, 92, 80, 69, 77, 88, 100, 110, 115, 105, 93, 81, 70, 63, 67, 75, 86, 98, 106, 94, 82, 71, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 40^6 ), ( 40^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1546
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 60 f = 3
	degree seq :: [ 6^10, 60 ]

E24.1546 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 20, 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), T1^6, T1^3 * T2^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 31, 91, 43, 103, 55, 115, 50, 110, 38, 98, 26, 86, 14, 74, 25, 85, 37, 97, 49, 109, 60, 120, 48, 108, 36, 96, 24, 84, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 29, 89, 41, 101, 53, 113, 58, 118, 46, 106, 34, 94, 22, 82, 11, 71, 21, 81, 33, 93, 45, 105, 57, 117, 54, 114, 42, 102, 30, 90, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 32, 92, 44, 104, 56, 116, 52, 112, 40, 100, 28, 88, 16, 76, 6, 66, 15, 75, 27, 87, 39, 99, 51, 111, 59, 119, 47, 107, 35, 95, 23, 83, 12, 72)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 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, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 79)(33, 80)(34, 83)(35, 84)(36, 102)(37, 93)(38, 94)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 91)(45, 92)(46, 95)(47, 96)(48, 114)(49, 105)(50, 106)(51, 120)(52, 115)(53, 119)(54, 116)(55, 118)(56, 103)(57, 104)(58, 107)(59, 108)(60, 117)
	local type(s) :: { ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1545
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 11
	degree seq :: [ 40^3 ]

E24.1547 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 20, 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, (T2^-1, T1^-1), (F * T1)^2, T2^9 * T1^-1, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-4, (T1^-1 * T2^-1)^6, T1^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 50, 110, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 49, 109, 60, 120, 48, 108, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 47, 107, 59, 119, 52, 112, 37, 97, 46, 106, 28, 88, 14, 74, 27, 87, 45, 105, 58, 118, 53, 113, 38, 98, 22, 82, 36, 96, 44, 104, 26, 86, 43, 103, 57, 117, 54, 114, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 42, 102, 56, 116, 55, 115, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 51, 111, 41, 101, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 110)(42, 94)(43, 116)(44, 95)(45, 117)(46, 96)(47, 118)(48, 97)(49, 119)(50, 120)(51, 93)(52, 98)(53, 99)(54, 100)(55, 101)(56, 111)(57, 115)(58, 114)(59, 113)(60, 112)
	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, 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 E24.1543
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 13
	degree seq :: [ 120 ]

E24.1548 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 20, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^10 * T2, T1^3 * T2^-2 * T1^-4 * T2^2 * T1, (T1^-1 * T2^-1)^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 30, 90, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 31, 91, 24, 84, 12, 72)(6, 66, 15, 75, 28, 88, 42, 102, 29, 89, 16, 76)(11, 71, 21, 81, 32, 92, 43, 103, 36, 96, 23, 83)(14, 74, 26, 86, 40, 100, 52, 112, 41, 101, 27, 87)(22, 82, 33, 93, 44, 104, 53, 113, 48, 108, 35, 95)(25, 85, 38, 98, 50, 110, 58, 118, 51, 111, 39, 99)(34, 94, 45, 105, 54, 114, 59, 119, 56, 116, 47, 107)(37, 97, 46, 106, 55, 115, 60, 120, 57, 117, 49, 109)
	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, 85)(15, 86)(16, 87)(17, 88)(18, 89)(19, 90)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 107)(38, 106)(39, 109)(40, 110)(41, 111)(42, 112)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(49, 116)(50, 115)(51, 117)(52, 118)(53, 103)(54, 104)(55, 105)(56, 108)(57, 119)(58, 120)(59, 113)(60, 114)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1544
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 12^10 ]

E24.1549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y2)^2, Y1^6, Y1 * Y2^-4 * Y3 * Y1^-1 * Y2^4 * Y1, Y2^-10 * Y1^3, Y2^5 * Y1 * Y2^5 * Y1 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 25, 85, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 26, 86, 22, 82, 12, 72)(9, 69, 17, 77, 27, 87, 37, 97, 33, 93, 20, 80)(13, 73, 18, 78, 28, 88, 38, 98, 34, 94, 23, 83)(19, 79, 29, 89, 39, 99, 49, 109, 45, 105, 32, 92)(24, 84, 30, 90, 40, 100, 50, 110, 46, 106, 35, 95)(31, 91, 41, 101, 51, 111, 60, 120, 57, 117, 44, 104)(36, 96, 42, 102, 52, 112, 55, 115, 58, 118, 47, 107)(43, 103, 53, 113, 59, 119, 48, 108, 54, 114, 56, 116)(121, 181, 123, 183, 129, 189, 139, 199, 151, 211, 163, 223, 175, 235, 170, 230, 158, 218, 146, 206, 134, 194, 145, 205, 157, 217, 169, 229, 180, 240, 168, 228, 156, 216, 144, 204, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 173, 233, 178, 238, 166, 226, 154, 214, 142, 202, 131, 191, 141, 201, 153, 213, 165, 225, 177, 237, 174, 234, 162, 222, 150, 210, 138, 198, 128, 188)(124, 184, 130, 190, 140, 200, 152, 212, 164, 224, 176, 236, 172, 232, 160, 220, 148, 208, 136, 196, 126, 186, 135, 195, 147, 207, 159, 219, 171, 231, 179, 239, 167, 227, 155, 215, 143, 203, 132, 192)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 134)(12, 142)(13, 143)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 152)(20, 153)(21, 145)(22, 146)(23, 154)(24, 155)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 144)(31, 164)(32, 165)(33, 157)(34, 158)(35, 166)(36, 167)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 156)(43, 176)(44, 177)(45, 169)(46, 170)(47, 178)(48, 179)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 168)(55, 172)(56, 174)(57, 180)(58, 175)(59, 173)(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) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 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 E24.1552
Graph:: bipartite
	v = 13 e = 120 f = 61
	degree seq :: [ 12^10, 40^3 ]

E24.1550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1, Y2^-1), R * Y2 * R * Y3, (R * Y1)^2, Y2^3 * Y1^-7, Y1^-1 * Y2^9, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 34, 94, 19, 79, 31, 91, 47, 107, 58, 118, 54, 114, 40, 100, 25, 85, 32, 92, 48, 108, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 56, 116, 51, 111, 33, 93, 49, 109, 59, 119, 53, 113, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 46, 106, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 45, 105, 57, 117, 55, 115, 41, 101, 50, 110, 60, 120, 52, 112, 38, 98, 23, 83, 12, 72)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 170, 230, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 169, 229, 180, 240, 168, 228, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 167, 227, 179, 239, 172, 232, 157, 217, 166, 226, 148, 208, 134, 194, 147, 207, 165, 225, 178, 238, 173, 233, 158, 218, 142, 202, 156, 216, 164, 224, 146, 206, 163, 223, 177, 237, 174, 234, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 162, 222, 176, 236, 175, 235, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 171, 231, 161, 221, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 170)(34, 171)(35, 162)(36, 164)(37, 166)(38, 142)(39, 143)(40, 144)(41, 145)(42, 176)(43, 177)(44, 146)(45, 178)(46, 148)(47, 179)(48, 150)(49, 180)(50, 152)(51, 161)(52, 157)(53, 158)(54, 159)(55, 160)(56, 175)(57, 174)(58, 173)(59, 172)(60, 168)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E24.1551
Graph:: bipartite
	v = 4 e = 120 f = 70
	degree seq :: [ 40^3, 120 ]

E24.1551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^6, Y2^-1 * Y3^10, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 134, 194, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 145, 205, 141, 201, 130, 190)(125, 185, 128, 188, 136, 196, 146, 206, 142, 202, 132, 192)(129, 189, 137, 197, 147, 207, 157, 217, 153, 213, 140, 200)(133, 193, 138, 198, 148, 208, 158, 218, 154, 214, 143, 203)(139, 199, 149, 209, 159, 219, 169, 229, 165, 225, 152, 212)(144, 204, 150, 210, 160, 220, 170, 230, 166, 226, 155, 215)(151, 211, 161, 221, 171, 231, 177, 237, 174, 234, 164, 224)(156, 216, 162, 222, 172, 232, 178, 238, 175, 235, 167, 227)(163, 223, 173, 233, 179, 239, 180, 240, 176, 236, 168, 228)
	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, 145)(15, 147)(16, 126)(17, 149)(18, 128)(19, 151)(20, 152)(21, 153)(22, 131)(23, 132)(24, 133)(25, 157)(26, 134)(27, 159)(28, 136)(29, 161)(30, 138)(31, 163)(32, 164)(33, 165)(34, 142)(35, 143)(36, 144)(37, 169)(38, 146)(39, 171)(40, 148)(41, 173)(42, 150)(43, 162)(44, 168)(45, 174)(46, 154)(47, 155)(48, 156)(49, 177)(50, 158)(51, 179)(52, 160)(53, 172)(54, 176)(55, 166)(56, 167)(57, 180)(58, 170)(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) :: { ( 40, 120 ), ( 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120 ) }
Outer automorphisms :: reflexible
Dual of E24.1550
Graph:: simple bipartite
	v = 70 e = 120 f = 4
	degree seq :: [ 2^60, 12^10 ]

E24.1552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 20, 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, Y3^6, Y1^10 * Y3, Y1^3 * Y3^-2 * Y1^-4 * Y3^2 * Y1, (Y3 * Y2^-1)^6, (Y1^-1 * Y3^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 25, 85, 37, 97, 47, 107, 35, 95, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 27, 87, 39, 99, 49, 109, 56, 116, 48, 108, 36, 96, 24, 84, 13, 73, 18, 78, 29, 89, 41, 101, 51, 111, 57, 117, 59, 119, 53, 113, 43, 103, 31, 91, 19, 79, 30, 90, 42, 102, 52, 112, 58, 118, 60, 120, 54, 114, 44, 104, 32, 92, 20, 80, 9, 69, 17, 77, 28, 88, 40, 100, 50, 110, 55, 115, 45, 105, 33, 93, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 26, 86, 38, 98, 46, 106, 34, 94, 22, 82, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 146)(15, 148)(16, 126)(17, 150)(18, 128)(19, 133)(20, 151)(21, 152)(22, 153)(23, 131)(24, 132)(25, 158)(26, 160)(27, 134)(28, 162)(29, 136)(30, 138)(31, 144)(32, 163)(33, 164)(34, 165)(35, 142)(36, 143)(37, 166)(38, 170)(39, 145)(40, 172)(41, 147)(42, 149)(43, 156)(44, 173)(45, 174)(46, 175)(47, 154)(48, 155)(49, 157)(50, 178)(51, 159)(52, 161)(53, 168)(54, 179)(55, 180)(56, 167)(57, 169)(58, 171)(59, 176)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 40 ), ( 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40, 12, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.1549
Graph:: bipartite
	v = 61 e = 120 f = 13
	degree seq :: [ 2^60, 120 ]

E24.1553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 20, 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 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^6, Y2^10 * Y1, Y2^4 * Y3 * Y1^-1 * Y2^-4 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 25, 85, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 26, 86, 22, 82, 12, 72)(9, 69, 17, 77, 27, 87, 37, 97, 33, 93, 20, 80)(13, 73, 18, 78, 28, 88, 38, 98, 34, 94, 23, 83)(19, 79, 29, 89, 39, 99, 49, 109, 45, 105, 32, 92)(24, 84, 30, 90, 40, 100, 50, 110, 46, 106, 35, 95)(31, 91, 41, 101, 51, 111, 57, 117, 55, 115, 44, 104)(36, 96, 42, 102, 52, 112, 58, 118, 56, 116, 47, 107)(43, 103, 48, 108, 53, 113, 59, 119, 60, 120, 54, 114)(121, 181, 123, 183, 129, 189, 139, 199, 151, 211, 163, 223, 167, 227, 155, 215, 143, 203, 132, 192, 124, 184, 130, 190, 140, 200, 152, 212, 164, 224, 174, 234, 176, 236, 166, 226, 154, 214, 142, 202, 131, 191, 141, 201, 153, 213, 165, 225, 175, 235, 180, 240, 178, 238, 170, 230, 158, 218, 146, 206, 134, 194, 145, 205, 157, 217, 169, 229, 177, 237, 179, 239, 172, 232, 160, 220, 148, 208, 136, 196, 126, 186, 135, 195, 147, 207, 159, 219, 171, 231, 173, 233, 162, 222, 150, 210, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 168, 228, 156, 216, 144, 204, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 134)(12, 142)(13, 143)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 152)(20, 153)(21, 145)(22, 146)(23, 154)(24, 155)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 144)(31, 164)(32, 165)(33, 157)(34, 158)(35, 166)(36, 167)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 156)(43, 174)(44, 175)(45, 169)(46, 170)(47, 176)(48, 163)(49, 159)(50, 160)(51, 161)(52, 162)(53, 168)(54, 180)(55, 177)(56, 178)(57, 171)(58, 172)(59, 173)(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) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E24.1554
Graph:: bipartite
	v = 11 e = 120 f = 63
	degree seq :: [ 12^10, 120 ]

E24.1554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^3 * Y1^-7, Y1^-1 * Y3^9, (Y1^-1 * Y3^-1)^6, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 34, 94, 19, 79, 31, 91, 47, 107, 58, 118, 54, 114, 40, 100, 25, 85, 32, 92, 48, 108, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 56, 116, 51, 111, 33, 93, 49, 109, 59, 119, 53, 113, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 46, 106, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 45, 105, 57, 117, 55, 115, 41, 101, 50, 110, 60, 120, 52, 112, 38, 98, 23, 83, 12, 72)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 170)(34, 171)(35, 162)(36, 164)(37, 166)(38, 142)(39, 143)(40, 144)(41, 145)(42, 176)(43, 177)(44, 146)(45, 178)(46, 148)(47, 179)(48, 150)(49, 180)(50, 152)(51, 161)(52, 157)(53, 158)(54, 159)(55, 160)(56, 175)(57, 174)(58, 173)(59, 172)(60, 168)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 120 ), ( 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120, 12, 120 ) }
Outer automorphisms :: reflexible
Dual of E24.1553
Graph:: simple bipartite
	v = 63 e = 120 f = 11
	degree seq :: [ 2^60, 40^3 ]

E24.1555 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T1^-5, T1^5, T2^12 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 60, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 57, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 59, 51, 41, 31, 21, 11, 20, 30, 40, 50, 58, 53, 43, 33, 23, 13, 5)(61, 62, 66, 71, 64)(63, 67, 74, 80, 70)(65, 68, 75, 81, 72)(69, 76, 84, 90, 79)(73, 77, 85, 91, 82)(78, 86, 94, 100, 89)(83, 87, 95, 101, 92)(88, 96, 104, 110, 99)(93, 97, 105, 111, 102)(98, 106, 114, 118, 109)(103, 107, 115, 119, 112)(108, 116, 120, 113, 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) :: { ( 120^5 ), ( 120^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1561
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 60 f = 1
	degree seq :: [ 5^12, 60 ]

E24.1556 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1 * T2^12, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 57, 59, 51, 41, 31, 21, 11, 20, 30, 40, 50, 58, 60, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 56, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 53, 43, 33, 23, 13, 5)(61, 62, 66, 71, 64)(63, 67, 74, 80, 70)(65, 68, 75, 81, 72)(69, 76, 84, 90, 79)(73, 77, 85, 91, 82)(78, 86, 94, 100, 89)(83, 87, 95, 101, 92)(88, 96, 104, 110, 99)(93, 97, 105, 111, 102)(98, 106, 114, 118, 109)(103, 107, 115, 119, 112)(108, 113, 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) :: { ( 120^5 ), ( 120^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1560
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 60 f = 1
	degree seq :: [ 5^12, 60 ]

E24.1557 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^-12 * T1, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 60, 58, 51, 41, 31, 21, 11, 20, 30, 40, 50, 57, 59, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 53, 43, 33, 23, 13, 5)(61, 62, 66, 71, 64)(63, 67, 74, 80, 70)(65, 68, 75, 81, 72)(69, 76, 84, 90, 79)(73, 77, 85, 91, 82)(78, 86, 94, 100, 89)(83, 87, 95, 101, 92)(88, 96, 104, 110, 99)(93, 97, 105, 111, 102)(98, 106, 114, 117, 109)(103, 107, 115, 118, 112)(108, 116, 120, 119, 113)
	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) :: { ( 120^5 ), ( 120^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1559
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 60 f = 1
	degree seq :: [ 5^12, 60 ]

E24.1558 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^5 * T1^5, T1^-8 * T2^4, T2^23 * T1^-1, T2^60 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 59, 46, 28, 14, 27, 45, 39, 23, 11, 21, 35, 53, 56, 50, 32, 18, 8, 2, 7, 17, 31, 49, 37, 55, 58, 44, 26, 43, 40, 24, 12, 4, 10, 20, 34, 52, 60, 48, 30, 16, 6, 15, 29, 47, 38, 22, 36, 54, 57, 42, 41, 25, 13, 5)(61, 62, 66, 74, 86, 102, 116, 112, 93, 109, 98, 83, 72, 65, 68, 76, 88, 104, 117, 113, 94, 79, 91, 107, 99, 84, 73, 78, 90, 106, 118, 114, 95, 80, 69, 77, 89, 105, 100, 85, 92, 108, 119, 115, 96, 81, 70, 63, 67, 75, 87, 103, 101, 110, 120, 111, 97, 82, 71, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1562
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.1559 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T1^-5, T1^5, T2^12 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 18, 78, 28, 88, 38, 98, 48, 108, 55, 115, 45, 105, 35, 95, 25, 85, 15, 75, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 54, 114, 60, 120, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72, 4, 64, 10, 70, 19, 79, 29, 89, 39, 99, 49, 109, 57, 117, 47, 107, 37, 97, 27, 87, 17, 77, 8, 68, 2, 62, 7, 67, 16, 76, 26, 86, 36, 96, 46, 106, 56, 116, 59, 119, 51, 111, 41, 101, 31, 91, 21, 81, 11, 71, 20, 80, 30, 90, 40, 100, 50, 110, 58, 118, 53, 113, 43, 103, 33, 93, 23, 83, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 84)(17, 85)(18, 86)(19, 69)(20, 70)(21, 72)(22, 73)(23, 87)(24, 90)(25, 91)(26, 94)(27, 95)(28, 96)(29, 78)(30, 79)(31, 82)(32, 83)(33, 97)(34, 100)(35, 101)(36, 104)(37, 105)(38, 106)(39, 88)(40, 89)(41, 92)(42, 93)(43, 107)(44, 110)(45, 111)(46, 114)(47, 115)(48, 116)(49, 98)(50, 99)(51, 102)(52, 103)(53, 117)(54, 118)(55, 119)(56, 120)(57, 108)(58, 109)(59, 112)(60, 113)
	local type(s) :: { ( 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1557
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 13
	degree seq :: [ 120 ]

E24.1560 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1 * T2^12, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 18, 78, 28, 88, 38, 98, 48, 108, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72, 4, 64, 10, 70, 19, 79, 29, 89, 39, 99, 49, 109, 57, 117, 59, 119, 51, 111, 41, 101, 31, 91, 21, 81, 11, 71, 20, 80, 30, 90, 40, 100, 50, 110, 58, 118, 60, 120, 55, 115, 45, 105, 35, 95, 25, 85, 15, 75, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 54, 114, 56, 116, 47, 107, 37, 97, 27, 87, 17, 77, 8, 68, 2, 62, 7, 67, 16, 76, 26, 86, 36, 96, 46, 106, 53, 113, 43, 103, 33, 93, 23, 83, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 84)(17, 85)(18, 86)(19, 69)(20, 70)(21, 72)(22, 73)(23, 87)(24, 90)(25, 91)(26, 94)(27, 95)(28, 96)(29, 78)(30, 79)(31, 82)(32, 83)(33, 97)(34, 100)(35, 101)(36, 104)(37, 105)(38, 106)(39, 88)(40, 89)(41, 92)(42, 93)(43, 107)(44, 110)(45, 111)(46, 114)(47, 115)(48, 113)(49, 98)(50, 99)(51, 102)(52, 103)(53, 116)(54, 118)(55, 119)(56, 120)(57, 108)(58, 109)(59, 112)(60, 117)
	local type(s) :: { ( 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1556
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 13
	degree seq :: [ 120 ]

E24.1561 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^-12 * T1, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 18, 78, 28, 88, 38, 98, 48, 108, 47, 107, 37, 97, 27, 87, 17, 77, 8, 68, 2, 62, 7, 67, 16, 76, 26, 86, 36, 96, 46, 106, 56, 116, 55, 115, 45, 105, 35, 95, 25, 85, 15, 75, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 54, 114, 60, 120, 58, 118, 51, 111, 41, 101, 31, 91, 21, 81, 11, 71, 20, 80, 30, 90, 40, 100, 50, 110, 57, 117, 59, 119, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72, 4, 64, 10, 70, 19, 79, 29, 89, 39, 99, 49, 109, 53, 113, 43, 103, 33, 93, 23, 83, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 84)(17, 85)(18, 86)(19, 69)(20, 70)(21, 72)(22, 73)(23, 87)(24, 90)(25, 91)(26, 94)(27, 95)(28, 96)(29, 78)(30, 79)(31, 82)(32, 83)(33, 97)(34, 100)(35, 101)(36, 104)(37, 105)(38, 106)(39, 88)(40, 89)(41, 92)(42, 93)(43, 107)(44, 110)(45, 111)(46, 114)(47, 115)(48, 116)(49, 98)(50, 99)(51, 102)(52, 103)(53, 108)(54, 117)(55, 118)(56, 120)(57, 109)(58, 112)(59, 113)(60, 119)
	local type(s) :: { ( 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1555
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 13
	degree seq :: [ 120 ]

E24.1562 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^5, T2^5, T2^2 * T1^-12, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 18, 78, 8, 68)(4, 64, 10, 70, 19, 79, 23, 83, 12, 72)(6, 66, 15, 75, 27, 87, 28, 88, 16, 76)(11, 71, 20, 80, 29, 89, 33, 93, 22, 82)(14, 74, 25, 85, 37, 97, 38, 98, 26, 86)(21, 81, 30, 90, 39, 99, 43, 103, 32, 92)(24, 84, 35, 95, 47, 107, 48, 108, 36, 96)(31, 91, 40, 100, 49, 109, 53, 113, 42, 102)(34, 94, 45, 105, 57, 117, 58, 118, 46, 106)(41, 101, 50, 110, 54, 114, 60, 120, 52, 112)(44, 104, 55, 115, 59, 119, 51, 111, 56, 116)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 99)(50, 100)(51, 101)(52, 102)(53, 103)(54, 109)(55, 120)(56, 110)(57, 119)(58, 111)(59, 112)(60, 113)
	local type(s) :: { ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1558
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 10^12 ]

E24.1563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 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, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y2^-1), Y1^2 * Y3^-3, Y1^5, Y2^5 * Y3 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 11, 71, 4, 64)(3, 63, 7, 67, 14, 74, 20, 80, 10, 70)(5, 65, 8, 68, 15, 75, 21, 81, 12, 72)(9, 69, 16, 76, 24, 84, 30, 90, 19, 79)(13, 73, 17, 77, 25, 85, 31, 91, 22, 82)(18, 78, 26, 86, 34, 94, 40, 100, 29, 89)(23, 83, 27, 87, 35, 95, 41, 101, 32, 92)(28, 88, 36, 96, 44, 104, 50, 110, 39, 99)(33, 93, 37, 97, 45, 105, 51, 111, 42, 102)(38, 98, 46, 106, 54, 114, 58, 118, 49, 109)(43, 103, 47, 107, 55, 115, 59, 119, 52, 112)(48, 108, 56, 116, 60, 120, 53, 113, 57, 117)(121, 181, 123, 183, 129, 189, 138, 198, 148, 208, 158, 218, 168, 228, 175, 235, 165, 225, 155, 215, 145, 205, 135, 195, 126, 186, 134, 194, 144, 204, 154, 214, 164, 224, 174, 234, 180, 240, 172, 232, 162, 222, 152, 212, 142, 202, 132, 192, 124, 184, 130, 190, 139, 199, 149, 209, 159, 219, 169, 229, 177, 237, 167, 227, 157, 217, 147, 207, 137, 197, 128, 188, 122, 182, 127, 187, 136, 196, 146, 206, 156, 216, 166, 226, 176, 236, 179, 239, 171, 231, 161, 221, 151, 211, 141, 201, 131, 191, 140, 200, 150, 210, 160, 220, 170, 230, 178, 238, 173, 233, 163, 223, 153, 213, 143, 203, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 139)(10, 140)(11, 126)(12, 141)(13, 142)(14, 127)(15, 128)(16, 129)(17, 133)(18, 149)(19, 150)(20, 134)(21, 135)(22, 151)(23, 152)(24, 136)(25, 137)(26, 138)(27, 143)(28, 159)(29, 160)(30, 144)(31, 145)(32, 161)(33, 162)(34, 146)(35, 147)(36, 148)(37, 153)(38, 169)(39, 170)(40, 154)(41, 155)(42, 171)(43, 172)(44, 156)(45, 157)(46, 158)(47, 163)(48, 177)(49, 178)(50, 164)(51, 165)(52, 179)(53, 180)(54, 166)(55, 167)(56, 168)(57, 173)(58, 174)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 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 E24.1570
Graph:: bipartite
	v = 13 e = 120 f = 61
	degree seq :: [ 10^12, 120 ]

E24.1564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 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, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^12 * Y1, Y2^5 * Y3 * Y1^-1 * Y2^-5 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 11, 71, 4, 64)(3, 63, 7, 67, 14, 74, 20, 80, 10, 70)(5, 65, 8, 68, 15, 75, 21, 81, 12, 72)(9, 69, 16, 76, 24, 84, 30, 90, 19, 79)(13, 73, 17, 77, 25, 85, 31, 91, 22, 82)(18, 78, 26, 86, 34, 94, 40, 100, 29, 89)(23, 83, 27, 87, 35, 95, 41, 101, 32, 92)(28, 88, 36, 96, 44, 104, 50, 110, 39, 99)(33, 93, 37, 97, 45, 105, 51, 111, 42, 102)(38, 98, 46, 106, 54, 114, 58, 118, 49, 109)(43, 103, 47, 107, 55, 115, 59, 119, 52, 112)(48, 108, 53, 113, 56, 116, 60, 120, 57, 117)(121, 181, 123, 183, 129, 189, 138, 198, 148, 208, 158, 218, 168, 228, 172, 232, 162, 222, 152, 212, 142, 202, 132, 192, 124, 184, 130, 190, 139, 199, 149, 209, 159, 219, 169, 229, 177, 237, 179, 239, 171, 231, 161, 221, 151, 211, 141, 201, 131, 191, 140, 200, 150, 210, 160, 220, 170, 230, 178, 238, 180, 240, 175, 235, 165, 225, 155, 215, 145, 205, 135, 195, 126, 186, 134, 194, 144, 204, 154, 214, 164, 224, 174, 234, 176, 236, 167, 227, 157, 217, 147, 207, 137, 197, 128, 188, 122, 182, 127, 187, 136, 196, 146, 206, 156, 216, 166, 226, 173, 233, 163, 223, 153, 213, 143, 203, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 139)(10, 140)(11, 126)(12, 141)(13, 142)(14, 127)(15, 128)(16, 129)(17, 133)(18, 149)(19, 150)(20, 134)(21, 135)(22, 151)(23, 152)(24, 136)(25, 137)(26, 138)(27, 143)(28, 159)(29, 160)(30, 144)(31, 145)(32, 161)(33, 162)(34, 146)(35, 147)(36, 148)(37, 153)(38, 169)(39, 170)(40, 154)(41, 155)(42, 171)(43, 172)(44, 156)(45, 157)(46, 158)(47, 163)(48, 177)(49, 178)(50, 164)(51, 165)(52, 179)(53, 168)(54, 166)(55, 167)(56, 173)(57, 180)(58, 174)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 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 E24.1569
Graph:: bipartite
	v = 13 e = 120 f = 61
	degree seq :: [ 10^12, 120 ]

E24.1565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^5, Y2^-12 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 11, 71, 4, 64)(3, 63, 7, 67, 14, 74, 20, 80, 10, 70)(5, 65, 8, 68, 15, 75, 21, 81, 12, 72)(9, 69, 16, 76, 24, 84, 30, 90, 19, 79)(13, 73, 17, 77, 25, 85, 31, 91, 22, 82)(18, 78, 26, 86, 34, 94, 40, 100, 29, 89)(23, 83, 27, 87, 35, 95, 41, 101, 32, 92)(28, 88, 36, 96, 44, 104, 50, 110, 39, 99)(33, 93, 37, 97, 45, 105, 51, 111, 42, 102)(38, 98, 46, 106, 54, 114, 57, 117, 49, 109)(43, 103, 47, 107, 55, 115, 58, 118, 52, 112)(48, 108, 56, 116, 60, 120, 59, 119, 53, 113)(121, 181, 123, 183, 129, 189, 138, 198, 148, 208, 158, 218, 168, 228, 167, 227, 157, 217, 147, 207, 137, 197, 128, 188, 122, 182, 127, 187, 136, 196, 146, 206, 156, 216, 166, 226, 176, 236, 175, 235, 165, 225, 155, 215, 145, 205, 135, 195, 126, 186, 134, 194, 144, 204, 154, 214, 164, 224, 174, 234, 180, 240, 178, 238, 171, 231, 161, 221, 151, 211, 141, 201, 131, 191, 140, 200, 150, 210, 160, 220, 170, 230, 177, 237, 179, 239, 172, 232, 162, 222, 152, 212, 142, 202, 132, 192, 124, 184, 130, 190, 139, 199, 149, 209, 159, 219, 169, 229, 173, 233, 163, 223, 153, 213, 143, 203, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 139)(10, 140)(11, 126)(12, 141)(13, 142)(14, 127)(15, 128)(16, 129)(17, 133)(18, 149)(19, 150)(20, 134)(21, 135)(22, 151)(23, 152)(24, 136)(25, 137)(26, 138)(27, 143)(28, 159)(29, 160)(30, 144)(31, 145)(32, 161)(33, 162)(34, 146)(35, 147)(36, 148)(37, 153)(38, 169)(39, 170)(40, 154)(41, 155)(42, 171)(43, 172)(44, 156)(45, 157)(46, 158)(47, 163)(48, 173)(49, 177)(50, 164)(51, 165)(52, 178)(53, 179)(54, 166)(55, 167)(56, 168)(57, 174)(58, 175)(59, 180)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 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 E24.1568
Graph:: bipartite
	v = 13 e = 120 f = 61
	degree seq :: [ 10^12, 120 ]

E24.1566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 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), Y1^-3 * Y2^-1 * Y1^-1 * Y2^-4 * Y1^-1, (Y3^-1 * Y1^-1)^5, Y1^-1 * Y2^5 * Y1^-1 * Y2^2 * Y1^-2 * Y2, Y1^22 * Y2^-1 * Y1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 56, 116, 53, 113, 34, 94, 19, 79, 31, 91, 47, 107, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 46, 106, 58, 118, 55, 115, 36, 96, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 41, 101, 50, 110, 60, 120, 52, 112, 33, 93, 49, 109, 38, 98, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 57, 117, 54, 114, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 45, 105, 40, 100, 25, 85, 32, 92, 48, 108, 59, 119, 51, 111, 37, 97, 22, 82, 11, 71, 4, 64)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 171, 231, 178, 238, 164, 224, 146, 206, 163, 223, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 172, 232, 179, 239, 166, 226, 148, 208, 134, 194, 147, 207, 165, 225, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 173, 233, 180, 240, 168, 228, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 167, 227, 158, 218, 142, 202, 156, 216, 174, 234, 176, 236, 170, 230, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 169, 229, 157, 217, 175, 235, 177, 237, 162, 222, 161, 221, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 171)(34, 172)(35, 173)(36, 174)(37, 175)(38, 142)(39, 143)(40, 144)(41, 145)(42, 161)(43, 160)(44, 146)(45, 159)(46, 148)(47, 158)(48, 150)(49, 157)(50, 152)(51, 178)(52, 179)(53, 180)(54, 176)(55, 177)(56, 170)(57, 162)(58, 164)(59, 166)(60, 168)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1567
Graph:: bipartite
	v = 2 e = 120 f = 72
	degree seq :: [ 120^2 ]

E24.1567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-5, Y2^5, Y2^-2 * Y3^-12, Y3^-1 * Y2 * Y3^-5 * Y2 * Y3^-6 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 131, 191, 124, 184)(123, 183, 127, 187, 134, 194, 140, 200, 130, 190)(125, 185, 128, 188, 135, 195, 141, 201, 132, 192)(129, 189, 136, 196, 144, 204, 150, 210, 139, 199)(133, 193, 137, 197, 145, 205, 151, 211, 142, 202)(138, 198, 146, 206, 154, 214, 160, 220, 149, 209)(143, 203, 147, 207, 155, 215, 161, 221, 152, 212)(148, 208, 156, 216, 164, 224, 170, 230, 159, 219)(153, 213, 157, 217, 165, 225, 171, 231, 162, 222)(158, 218, 166, 226, 174, 234, 180, 240, 169, 229)(163, 223, 167, 227, 175, 235, 178, 238, 172, 232)(168, 228, 176, 236, 173, 233, 177, 237, 179, 239)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 134)(7, 136)(8, 122)(9, 138)(10, 139)(11, 140)(12, 124)(13, 125)(14, 144)(15, 126)(16, 146)(17, 128)(18, 148)(19, 149)(20, 150)(21, 131)(22, 132)(23, 133)(24, 154)(25, 135)(26, 156)(27, 137)(28, 158)(29, 159)(30, 160)(31, 141)(32, 142)(33, 143)(34, 164)(35, 145)(36, 166)(37, 147)(38, 168)(39, 169)(40, 170)(41, 151)(42, 152)(43, 153)(44, 174)(45, 155)(46, 176)(47, 157)(48, 178)(49, 179)(50, 180)(51, 161)(52, 162)(53, 163)(54, 173)(55, 165)(56, 172)(57, 167)(58, 171)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1566
Graph:: simple bipartite
	v = 72 e = 120 f = 2
	degree seq :: [ 2^60, 10^12 ]

E24.1568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^5, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y3^2 * Y1^-12, (Y1^-1 * Y3^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 54, 114, 49, 109, 39, 99, 29, 89, 19, 79, 9, 69, 17, 77, 27, 87, 37, 97, 47, 107, 57, 117, 59, 119, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72, 5, 65, 8, 68, 16, 76, 26, 86, 36, 96, 46, 106, 56, 116, 50, 110, 40, 100, 30, 90, 20, 80, 10, 70, 3, 63, 7, 67, 15, 75, 25, 85, 35, 95, 45, 105, 55, 115, 60, 120, 53, 113, 43, 103, 33, 93, 23, 83, 13, 73, 18, 78, 28, 88, 38, 98, 48, 108, 58, 118, 51, 111, 41, 101, 31, 91, 21, 81, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 133)(10, 139)(11, 140)(12, 124)(13, 125)(14, 145)(15, 147)(16, 126)(17, 138)(18, 128)(19, 143)(20, 149)(21, 150)(22, 131)(23, 132)(24, 155)(25, 157)(26, 134)(27, 148)(28, 136)(29, 153)(30, 159)(31, 160)(32, 141)(33, 142)(34, 165)(35, 167)(36, 144)(37, 158)(38, 146)(39, 163)(40, 169)(41, 170)(42, 151)(43, 152)(44, 175)(45, 177)(46, 154)(47, 168)(48, 156)(49, 173)(50, 174)(51, 176)(52, 161)(53, 162)(54, 180)(55, 179)(56, 164)(57, 178)(58, 166)(59, 171)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10, 120 ), ( 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120 ) }
Outer automorphisms :: reflexible
Dual of E24.1565
Graph:: bipartite
	v = 61 e = 120 f = 13
	degree seq :: [ 2^60, 120 ]

E24.1569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^6 * Y3 * Y1^6, Y1^4 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1, (Y1^-1 * Y3^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72, 5, 65, 8, 68, 16, 76, 26, 86, 36, 96, 46, 106, 54, 114, 59, 119, 53, 113, 43, 103, 33, 93, 23, 83, 13, 73, 18, 78, 28, 88, 38, 98, 48, 108, 56, 116, 60, 120, 57, 117, 49, 109, 39, 99, 29, 89, 19, 79, 9, 69, 17, 77, 27, 87, 37, 97, 47, 107, 55, 115, 58, 118, 50, 110, 40, 100, 30, 90, 20, 80, 10, 70, 3, 63, 7, 67, 15, 75, 25, 85, 35, 95, 45, 105, 51, 111, 41, 101, 31, 91, 21, 81, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 133)(10, 139)(11, 140)(12, 124)(13, 125)(14, 145)(15, 147)(16, 126)(17, 138)(18, 128)(19, 143)(20, 149)(21, 150)(22, 131)(23, 132)(24, 155)(25, 157)(26, 134)(27, 148)(28, 136)(29, 153)(30, 159)(31, 160)(32, 141)(33, 142)(34, 165)(35, 167)(36, 144)(37, 158)(38, 146)(39, 163)(40, 169)(41, 170)(42, 151)(43, 152)(44, 171)(45, 175)(46, 154)(47, 168)(48, 156)(49, 173)(50, 177)(51, 178)(52, 161)(53, 162)(54, 164)(55, 176)(56, 166)(57, 179)(58, 180)(59, 172)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10, 120 ), ( 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120 ) }
Outer automorphisms :: reflexible
Dual of E24.1564
Graph:: bipartite
	v = 61 e = 120 f = 13
	degree seq :: [ 2^60, 120 ]

E24.1570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^12 * Y3^-1, (Y1^-1 * Y3^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 50, 110, 40, 100, 30, 90, 20, 80, 10, 70, 3, 63, 7, 67, 15, 75, 25, 85, 35, 95, 45, 105, 54, 114, 57, 117, 49, 109, 39, 99, 29, 89, 19, 79, 9, 69, 17, 77, 27, 87, 37, 97, 47, 107, 55, 115, 60, 120, 59, 119, 53, 113, 43, 103, 33, 93, 23, 83, 13, 73, 18, 78, 28, 88, 38, 98, 48, 108, 56, 116, 58, 118, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72, 5, 65, 8, 68, 16, 76, 26, 86, 36, 96, 46, 106, 51, 111, 41, 101, 31, 91, 21, 81, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 133)(10, 139)(11, 140)(12, 124)(13, 125)(14, 145)(15, 147)(16, 126)(17, 138)(18, 128)(19, 143)(20, 149)(21, 150)(22, 131)(23, 132)(24, 155)(25, 157)(26, 134)(27, 148)(28, 136)(29, 153)(30, 159)(31, 160)(32, 141)(33, 142)(34, 165)(35, 167)(36, 144)(37, 158)(38, 146)(39, 163)(40, 169)(41, 170)(42, 151)(43, 152)(44, 174)(45, 175)(46, 154)(47, 168)(48, 156)(49, 173)(50, 177)(51, 164)(52, 161)(53, 162)(54, 180)(55, 176)(56, 166)(57, 179)(58, 171)(59, 172)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10, 120 ), ( 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120 ) }
Outer automorphisms :: reflexible
Dual of E24.1563
Graph:: bipartite
	v = 61 e = 120 f = 13
	degree seq :: [ 2^60, 120 ]

E24.1571 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {9, 9, 21})
Quotient :: edge
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^-2 * X2^-3 * X1^-1, X1 * X2 * X1^-1 * X2^2 * X1 * X2, X1 * X2 * X1^-2 * X2 * X1^-1 * X2^-1, X1^-2 * X2^3 * X1^-4 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 48, 61, 31, 13, 4)(3, 9, 27, 17, 47, 57, 60, 34, 11)(5, 15, 42, 49, 62, 32, 10, 30, 16)(7, 21, 53, 26, 58, 45, 39, 29, 23)(8, 24, 43, 63, 33, 55, 22, 54, 25)(12, 36, 50, 19, 28, 44, 52, 59, 38)(14, 40, 35, 20, 51, 56, 37, 46, 41)(64, 66, 73, 94, 123, 112, 81, 80, 68)(65, 70, 85, 76, 102, 126, 111, 89, 71)(67, 75, 100, 124, 115, 83, 69, 82, 77)(72, 91, 121, 97, 99, 84, 110, 122, 92)(74, 96, 104, 120, 87, 119, 90, 117, 98)(78, 106, 113, 93, 88, 101, 125, 118, 107)(79, 108, 114, 95, 116, 103, 105, 86, 109)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 42^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 63 f = 3
	degree seq :: [ 9^14 ]

E24.1572 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {9, 9, 21})
Quotient :: edge
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^-1 * X2^2 * X1^-1 * X2^-1 * X1^-1, X2^2 * X1^-2 * X2 * X1^-1 * X2, X1^9, X2^21 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 48, 62, 37, 13, 4)(3, 9, 27, 49, 22, 44, 59, 33, 11)(5, 15, 34, 50, 58, 56, 55, 26, 16)(7, 21, 53, 60, 51, 47, 29, 45, 23)(8, 24, 31, 42, 41, 63, 38, 32, 25)(10, 30, 57, 61, 36, 12, 35, 43, 19)(14, 39, 28, 20, 52, 54, 46, 17, 40)(64, 66, 73, 94, 86, 102, 113, 81, 112, 124, 126, 116, 115, 118, 100, 122, 98, 88, 110, 80, 68)(65, 70, 85, 117, 106, 78, 105, 111, 123, 96, 103, 93, 121, 101, 76, 92, 72, 91, 99, 89, 71)(67, 75, 84, 97, 74, 95, 83, 69, 82, 114, 119, 90, 87, 109, 125, 120, 108, 79, 107, 104, 77)
	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) :: { ( 18^9 ), ( 18^21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 63 f = 7
	degree seq :: [ 9^7, 21^3 ]

E24.1573 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {9, 9, 21})
Quotient :: edge
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^-1 * X2 * X1^-2 * X2^-2, X2 * X1^2 * X2 * X1^-1 * X2 * X1^-1, X1 * X2 * X1^-1 * X2^-4, X2 * X1^-2 * X2 * X1 * X2 * X1, X1^9 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 48, 56, 38, 13, 4)(3, 9, 27, 49, 60, 62, 53, 22, 11)(5, 15, 42, 50, 26, 34, 58, 44, 16)(7, 21, 47, 29, 36, 59, 37, 45, 23)(8, 24, 54, 63, 52, 31, 39, 33, 25)(10, 30, 12, 35, 43, 19, 51, 55, 32)(14, 40, 28, 20, 17, 46, 57, 61, 41)(64, 66, 73, 94, 86, 103, 121, 101, 116, 114, 117, 122, 124, 113, 81, 112, 98, 88, 110, 80, 68)(65, 70, 85, 104, 106, 78, 102, 76, 100, 123, 109, 93, 107, 126, 111, 92, 72, 91, 118, 89, 71)(67, 75, 99, 97, 74, 96, 120, 119, 95, 84, 105, 125, 115, 83, 69, 82, 108, 79, 90, 87, 77)
	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) :: { ( 18^9 ), ( 18^21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 63 f = 7
	degree seq :: [ 9^7, 21^3 ]

E24.1574 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {9, 9, 21})
Quotient :: loop
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^-2 * X2^-3 * X1^-1, X1 * X2 * X1^-1 * X2^2 * X1 * X2, X1 * X2 * X1^-2 * X2 * X1^-1 * X2^-1, X1^-2 * X2^3 * X1^-4 ]
Map:: non-degenerate
	R = (1, 64, 2, 65, 6, 69, 18, 81, 48, 111, 61, 124, 31, 94, 13, 76, 4, 67)(3, 66, 9, 72, 27, 90, 17, 80, 47, 110, 57, 120, 60, 123, 34, 97, 11, 74)(5, 68, 15, 78, 42, 105, 49, 112, 62, 125, 32, 95, 10, 73, 30, 93, 16, 79)(7, 70, 21, 84, 53, 116, 26, 89, 58, 121, 45, 108, 39, 102, 29, 92, 23, 86)(8, 71, 24, 87, 43, 106, 63, 126, 33, 96, 55, 118, 22, 85, 54, 117, 25, 88)(12, 75, 36, 99, 50, 113, 19, 82, 28, 91, 44, 107, 52, 115, 59, 122, 38, 101)(14, 77, 40, 103, 35, 98, 20, 83, 51, 114, 56, 119, 37, 100, 46, 109, 41, 104)
	L = (1, 66)(2, 70)(3, 73)(4, 75)(5, 64)(6, 82)(7, 85)(8, 65)(9, 91)(10, 94)(11, 96)(12, 100)(13, 102)(14, 67)(15, 106)(16, 108)(17, 68)(18, 80)(19, 77)(20, 69)(21, 110)(22, 76)(23, 109)(24, 119)(25, 101)(26, 71)(27, 117)(28, 121)(29, 72)(30, 88)(31, 123)(32, 116)(33, 104)(34, 99)(35, 74)(36, 84)(37, 124)(38, 125)(39, 126)(40, 105)(41, 120)(42, 86)(43, 113)(44, 78)(45, 114)(46, 79)(47, 122)(48, 89)(49, 81)(50, 93)(51, 95)(52, 83)(53, 103)(54, 98)(55, 107)(56, 90)(57, 87)(58, 97)(59, 92)(60, 112)(61, 115)(62, 118)(63, 111)
	local type(s) :: { ( 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 63 f = 10
	degree seq :: [ 18^7 ]

E24.1575 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {9, 9, 21})
Quotient :: loop
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^-2 * X2^-3 * X1^-1, X1^-1 * X2^-1 * X1 * X2 * X1 * X2^-2, X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-2 ]
Map:: non-degenerate
	R = (1, 64, 2, 65, 6, 69, 18, 81, 48, 111, 62, 125, 31, 94, 13, 76, 4, 67)(3, 66, 9, 72, 27, 90, 17, 80, 47, 110, 58, 121, 61, 124, 34, 97, 11, 74)(5, 68, 15, 78, 42, 105, 49, 112, 59, 122, 32, 95, 10, 73, 30, 93, 16, 79)(7, 70, 21, 84, 45, 108, 26, 89, 29, 92, 60, 123, 39, 102, 56, 119, 23, 86)(8, 71, 24, 87, 57, 120, 63, 126, 33, 96, 43, 106, 22, 85, 54, 117, 25, 88)(12, 75, 36, 99, 51, 114, 19, 82, 50, 113, 44, 107, 53, 116, 28, 91, 38, 101)(14, 77, 40, 103, 52, 115, 20, 83, 46, 109, 35, 98, 37, 100, 55, 118, 41, 104)
	L = (1, 66)(2, 70)(3, 73)(4, 75)(5, 64)(6, 82)(7, 85)(8, 65)(9, 91)(10, 94)(11, 96)(12, 100)(13, 102)(14, 67)(15, 106)(16, 108)(17, 68)(18, 80)(19, 77)(20, 69)(21, 97)(22, 76)(23, 118)(24, 104)(25, 107)(26, 71)(27, 117)(28, 84)(29, 72)(30, 120)(31, 124)(32, 86)(33, 115)(34, 113)(35, 74)(36, 92)(37, 125)(38, 122)(39, 126)(40, 95)(41, 90)(42, 123)(43, 114)(44, 78)(45, 103)(46, 79)(47, 99)(48, 89)(49, 81)(50, 119)(51, 93)(52, 121)(53, 83)(54, 98)(55, 105)(56, 110)(57, 101)(58, 87)(59, 88)(60, 109)(61, 112)(62, 116)(63, 111)
	local type(s) :: { ( 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21, 9, 21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 63 f = 10
	degree seq :: [ 18^7 ]

E24.1576 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {9, 9, 21})
Quotient :: loop
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^-1 * X2^2 * X1 * X2 * X1^-1, X1 * X2 * X1 * X2^-2 * X1 * X2, X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1, X2^9, X1^21 ]
Map:: non-degenerate
	R = (1, 64, 2, 65, 6, 69, 18, 81, 29, 92, 44, 107, 53, 116, 30, 93, 51, 114, 62, 125, 63, 126, 57, 120, 59, 122, 60, 123, 47, 110, 55, 118, 42, 105, 34, 97, 38, 101, 13, 76, 4, 67)(3, 66, 9, 72, 27, 90, 56, 119, 36, 99, 12, 75, 35, 98, 58, 121, 54, 117, 26, 89, 37, 100, 19, 82, 48, 111, 46, 109, 17, 80, 23, 86, 7, 70, 21, 84, 43, 106, 33, 96, 11, 74)(5, 68, 15, 78, 28, 91, 25, 88, 8, 71, 24, 87, 31, 94, 10, 73, 20, 83, 50, 113, 52, 115, 22, 85, 32, 95, 39, 102, 61, 124, 49, 112, 41, 104, 14, 77, 40, 103, 45, 108, 16, 79)
	L = (1, 66)(2, 70)(3, 73)(4, 75)(5, 64)(6, 82)(7, 85)(8, 65)(9, 91)(10, 93)(11, 95)(12, 88)(13, 100)(14, 67)(15, 105)(16, 107)(17, 68)(18, 98)(19, 112)(20, 69)(21, 94)(22, 114)(23, 104)(24, 97)(25, 116)(26, 71)(27, 103)(28, 120)(29, 72)(30, 121)(31, 122)(32, 81)(33, 77)(34, 74)(35, 108)(36, 83)(37, 79)(38, 86)(39, 76)(40, 118)(41, 92)(42, 99)(43, 78)(44, 84)(45, 126)(46, 87)(47, 80)(48, 115)(49, 125)(50, 101)(51, 90)(52, 123)(53, 111)(54, 113)(55, 89)(56, 102)(57, 117)(58, 124)(59, 119)(60, 96)(61, 110)(62, 106)(63, 109)
	local type(s) :: { ( 9^42 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 63 f = 14
	degree seq :: [ 42^3 ]

E24.1577 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 9, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 39, 25, 13, 5)(2, 7, 17, 30, 44, 45, 31, 18, 8)(4, 10, 20, 33, 46, 51, 38, 24, 12)(6, 15, 28, 42, 54, 55, 43, 29, 16)(11, 21, 34, 47, 56, 59, 50, 37, 23)(14, 26, 40, 52, 60, 61, 53, 41, 27)(22, 35, 48, 57, 62, 63, 58, 49, 36)(64, 65, 69, 77, 85, 74, 67)(66, 70, 78, 89, 98, 84, 73)(68, 71, 79, 90, 99, 86, 75)(72, 80, 91, 103, 111, 97, 83)(76, 81, 92, 104, 112, 100, 87)(82, 93, 105, 115, 120, 110, 96)(88, 94, 106, 116, 121, 113, 101)(95, 107, 117, 123, 125, 119, 109)(102, 108, 118, 124, 126, 122, 114)
	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) :: { ( 126^7 ), ( 126^9 ) }
Outer automorphisms :: reflexible
Dual of E24.1581
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 63 f = 1
	degree seq :: [ 7^9, 9^7 ]

E24.1578 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 9, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^-7, T1^9, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 30, 16, 6, 15, 29, 46, 57, 55, 43, 26, 42, 54, 62, 60, 51, 38, 22, 36, 48, 53, 40, 24, 12, 4, 10, 20, 34, 32, 18, 8, 2, 7, 17, 31, 47, 45, 28, 14, 27, 44, 56, 63, 59, 50, 37, 49, 58, 61, 52, 39, 23, 11, 21, 35, 41, 25, 13, 5)(64, 65, 69, 77, 89, 100, 85, 74, 67)(66, 70, 78, 90, 105, 112, 99, 84, 73)(68, 71, 79, 91, 106, 113, 101, 86, 75)(72, 80, 92, 107, 117, 121, 111, 98, 83)(76, 81, 93, 108, 118, 122, 114, 102, 87)(82, 94, 109, 119, 125, 124, 116, 104, 97)(88, 95, 96, 110, 120, 126, 123, 115, 103)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 14^9 ), ( 14^63 ) }
Outer automorphisms :: reflexible
Dual of E24.1582
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 63 f = 9
	degree seq :: [ 9^7, 63 ]

E24.1579 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 9, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^7, T2^7, T1^9 * T2^2, T1^-1 * T2 * T1^-5 * T2 * T1^-3 * T2^3, T2^2 * T1^-1 * T2 * T1^-3 * T2^2 * T1^-5, (T1^-1 * T2^-1)^9 ]
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, 45, 46, 30, 16)(11, 21, 34, 47, 53, 38, 23)(14, 27, 43, 56, 57, 44, 28)(22, 35, 48, 58, 61, 52, 37)(26, 41, 50, 60, 63, 55, 42)(36, 49, 59, 62, 54, 40, 51)(64, 65, 69, 77, 89, 103, 115, 101, 87, 76, 81, 93, 107, 118, 125, 121, 110, 96, 82, 94, 108, 119, 123, 112, 98, 84, 73, 66, 70, 78, 90, 104, 114, 100, 86, 75, 68, 71, 79, 91, 105, 117, 124, 116, 102, 88, 95, 109, 120, 126, 122, 111, 97, 83, 72, 80, 92, 106, 113, 99, 85, 74, 67)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 18^7 ), ( 18^63 ) }
Outer automorphisms :: reflexible
Dual of E24.1580
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 63 f = 7
	degree seq :: [ 7^9, 63 ]

E24.1580 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 9, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T2^9 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 32, 95, 39, 102, 25, 88, 13, 76, 5, 68)(2, 65, 7, 70, 17, 80, 30, 93, 44, 107, 45, 108, 31, 94, 18, 81, 8, 71)(4, 67, 10, 73, 20, 83, 33, 96, 46, 109, 51, 114, 38, 101, 24, 87, 12, 75)(6, 69, 15, 78, 28, 91, 42, 105, 54, 117, 55, 118, 43, 106, 29, 92, 16, 79)(11, 74, 21, 84, 34, 97, 47, 110, 56, 119, 59, 122, 50, 113, 37, 100, 23, 86)(14, 77, 26, 89, 40, 103, 52, 115, 60, 123, 61, 124, 53, 116, 41, 104, 27, 90)(22, 85, 35, 98, 48, 111, 57, 120, 62, 125, 63, 126, 58, 121, 49, 112, 36, 99)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 85)(15, 89)(16, 90)(17, 91)(18, 92)(19, 93)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 94)(26, 98)(27, 99)(28, 103)(29, 104)(30, 105)(31, 106)(32, 107)(33, 82)(34, 83)(35, 84)(36, 86)(37, 87)(38, 88)(39, 108)(40, 111)(41, 112)(42, 115)(43, 116)(44, 117)(45, 118)(46, 95)(47, 96)(48, 97)(49, 100)(50, 101)(51, 102)(52, 120)(53, 121)(54, 123)(55, 124)(56, 109)(57, 110)(58, 113)(59, 114)(60, 125)(61, 126)(62, 119)(63, 122)
	local type(s) :: { ( 7, 63, 7, 63, 7, 63, 7, 63, 7, 63, 7, 63, 7, 63, 7, 63, 7, 63 ) }
Outer automorphisms :: reflexible
Dual of E24.1579
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 63 f = 10
	degree seq :: [ 18^7 ]

E24.1581 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 9, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^-7, T1^9, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 33, 96, 30, 93, 16, 79, 6, 69, 15, 78, 29, 92, 46, 109, 57, 120, 55, 118, 43, 106, 26, 89, 42, 105, 54, 117, 62, 125, 60, 123, 51, 114, 38, 101, 22, 85, 36, 99, 48, 111, 53, 116, 40, 103, 24, 87, 12, 75, 4, 67, 10, 73, 20, 83, 34, 97, 32, 95, 18, 81, 8, 71, 2, 65, 7, 70, 17, 80, 31, 94, 47, 110, 45, 108, 28, 91, 14, 77, 27, 90, 44, 107, 56, 119, 63, 126, 59, 122, 50, 113, 37, 100, 49, 112, 58, 121, 61, 124, 52, 115, 39, 102, 23, 86, 11, 74, 21, 84, 35, 98, 41, 104, 25, 88, 13, 76, 5, 68)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 95)(26, 100)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 96)(33, 110)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 97)(42, 112)(43, 113)(44, 117)(45, 118)(46, 119)(47, 120)(48, 98)(49, 99)(50, 101)(51, 102)(52, 103)(53, 104)(54, 121)(55, 122)(56, 125)(57, 126)(58, 111)(59, 114)(60, 115)(61, 116)(62, 124)(63, 123)
	local type(s) :: { ( 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9 ) }
Outer automorphisms :: reflexible
Dual of E24.1577
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 63 f = 16
	degree seq :: [ 126 ]

E24.1582 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 9, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^7, T2^7, T1^9 * T2^2, T1^-1 * T2 * T1^-5 * T2 * T1^-3 * T2^3, T2^2 * T1^-1 * T2 * T1^-3 * T2^2 * T1^-5, (T1^-1 * T2^-1)^9 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 25, 88, 13, 76, 5, 68)(2, 65, 7, 70, 17, 80, 31, 94, 32, 95, 18, 81, 8, 71)(4, 67, 10, 73, 20, 83, 33, 96, 39, 102, 24, 87, 12, 75)(6, 69, 15, 78, 29, 92, 45, 108, 46, 109, 30, 93, 16, 79)(11, 74, 21, 84, 34, 97, 47, 110, 53, 116, 38, 101, 23, 86)(14, 77, 27, 90, 43, 106, 56, 119, 57, 120, 44, 107, 28, 91)(22, 85, 35, 98, 48, 111, 58, 121, 61, 124, 52, 115, 37, 100)(26, 89, 41, 104, 50, 113, 60, 123, 63, 126, 55, 118, 42, 105)(36, 99, 49, 112, 59, 122, 62, 125, 54, 117, 40, 103, 51, 114)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 95)(26, 103)(27, 104)(28, 105)(29, 106)(30, 107)(31, 108)(32, 109)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 115)(41, 114)(42, 117)(43, 113)(44, 118)(45, 119)(46, 120)(47, 96)(48, 97)(49, 98)(50, 99)(51, 100)(52, 101)(53, 102)(54, 124)(55, 125)(56, 123)(57, 126)(58, 110)(59, 111)(60, 112)(61, 116)(62, 121)(63, 122)
	local type(s) :: { ( 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63 ) }
Outer automorphisms :: reflexible
Dual of E24.1578
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 63 f = 8
	degree seq :: [ 14^9 ]

E24.1583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 9, 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, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^7, Y2^9, Y3^63 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 26, 89, 35, 98, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 27, 90, 36, 99, 23, 86, 12, 75)(9, 72, 17, 80, 28, 91, 40, 103, 48, 111, 34, 97, 20, 83)(13, 76, 18, 81, 29, 92, 41, 104, 49, 112, 37, 100, 24, 87)(19, 82, 30, 93, 42, 105, 52, 115, 57, 120, 47, 110, 33, 96)(25, 88, 31, 94, 43, 106, 53, 116, 58, 121, 50, 113, 38, 101)(32, 95, 44, 107, 54, 117, 60, 123, 62, 125, 56, 119, 46, 109)(39, 102, 45, 108, 55, 118, 61, 124, 63, 126, 59, 122, 51, 114)(127, 190, 129, 192, 135, 198, 145, 208, 158, 221, 165, 228, 151, 214, 139, 202, 131, 194)(128, 191, 133, 196, 143, 206, 156, 219, 170, 233, 171, 234, 157, 220, 144, 207, 134, 197)(130, 193, 136, 199, 146, 209, 159, 222, 172, 235, 177, 240, 164, 227, 150, 213, 138, 201)(132, 195, 141, 204, 154, 217, 168, 231, 180, 243, 181, 244, 169, 232, 155, 218, 142, 205)(137, 200, 147, 210, 160, 223, 173, 236, 182, 245, 185, 248, 176, 239, 163, 226, 149, 212)(140, 203, 152, 215, 166, 229, 178, 241, 186, 249, 187, 250, 179, 242, 167, 230, 153, 216)(148, 211, 161, 224, 174, 237, 183, 246, 188, 251, 189, 252, 184, 247, 175, 238, 162, 225)
	L = (1, 130)(2, 127)(3, 136)(4, 137)(5, 138)(6, 128)(7, 129)(8, 131)(9, 146)(10, 147)(11, 148)(12, 149)(13, 150)(14, 132)(15, 133)(16, 134)(17, 135)(18, 139)(19, 159)(20, 160)(21, 161)(22, 140)(23, 162)(24, 163)(25, 164)(26, 141)(27, 142)(28, 143)(29, 144)(30, 145)(31, 151)(32, 172)(33, 173)(34, 174)(35, 152)(36, 153)(37, 175)(38, 176)(39, 177)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 165)(46, 182)(47, 183)(48, 166)(49, 167)(50, 184)(51, 185)(52, 168)(53, 169)(54, 170)(55, 171)(56, 188)(57, 178)(58, 179)(59, 189)(60, 180)(61, 181)(62, 186)(63, 187)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ), ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ) }
Outer automorphisms :: reflexible
Dual of E24.1586
Graph:: bipartite
	v = 16 e = 126 f = 64
	degree seq :: [ 14^9, 18^7 ]

E24.1584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 9, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-7 * Y1^2, Y1^9, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 37, 100, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 27, 90, 42, 105, 49, 112, 36, 99, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 28, 91, 43, 106, 50, 113, 38, 101, 23, 86, 12, 75)(9, 72, 17, 80, 29, 92, 44, 107, 54, 117, 58, 121, 48, 111, 35, 98, 20, 83)(13, 76, 18, 81, 30, 93, 45, 108, 55, 118, 59, 122, 51, 114, 39, 102, 24, 87)(19, 82, 31, 94, 46, 109, 56, 119, 62, 125, 61, 124, 53, 116, 41, 104, 34, 97)(25, 88, 32, 95, 33, 96, 47, 110, 57, 120, 63, 126, 60, 123, 52, 115, 40, 103)(127, 190, 129, 192, 135, 198, 145, 208, 159, 222, 156, 219, 142, 205, 132, 195, 141, 204, 155, 218, 172, 235, 183, 246, 181, 244, 169, 232, 152, 215, 168, 231, 180, 243, 188, 251, 186, 249, 177, 240, 164, 227, 148, 211, 162, 225, 174, 237, 179, 242, 166, 229, 150, 213, 138, 201, 130, 193, 136, 199, 146, 209, 160, 223, 158, 221, 144, 207, 134, 197, 128, 191, 133, 196, 143, 206, 157, 220, 173, 236, 171, 234, 154, 217, 140, 203, 153, 216, 170, 233, 182, 245, 189, 252, 185, 248, 176, 239, 163, 226, 175, 238, 184, 247, 187, 250, 178, 241, 165, 228, 149, 212, 137, 200, 147, 210, 161, 224, 167, 230, 151, 214, 139, 202, 131, 194)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 159)(20, 160)(21, 161)(22, 162)(23, 137)(24, 138)(25, 139)(26, 168)(27, 170)(28, 140)(29, 172)(30, 142)(31, 173)(32, 144)(33, 156)(34, 158)(35, 167)(36, 174)(37, 175)(38, 148)(39, 149)(40, 150)(41, 151)(42, 180)(43, 152)(44, 182)(45, 154)(46, 183)(47, 171)(48, 179)(49, 184)(50, 163)(51, 164)(52, 165)(53, 166)(54, 188)(55, 169)(56, 189)(57, 181)(58, 187)(59, 176)(60, 177)(61, 178)(62, 186)(63, 185)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 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, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.1585
Graph:: bipartite
	v = 8 e = 126 f = 72
	degree seq :: [ 18^7, 126 ]

E24.1585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 9, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^7, Y2^7, Y2^2 * Y3^-9, Y2^-1 * Y3^-4 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^63 ]
Map::
	R = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)(127, 190, 128, 191, 132, 195, 140, 203, 148, 211, 137, 200, 130, 193)(129, 192, 133, 196, 141, 204, 152, 215, 161, 224, 147, 210, 136, 199)(131, 194, 134, 197, 142, 205, 153, 216, 162, 225, 149, 212, 138, 201)(135, 198, 143, 206, 154, 217, 166, 229, 175, 238, 160, 223, 146, 209)(139, 202, 144, 207, 155, 218, 167, 230, 176, 239, 163, 226, 150, 213)(145, 208, 156, 219, 168, 231, 180, 243, 184, 247, 174, 237, 159, 222)(151, 214, 157, 220, 169, 232, 181, 244, 185, 248, 177, 240, 164, 227)(158, 221, 170, 233, 182, 245, 188, 251, 187, 250, 179, 242, 173, 236)(165, 228, 171, 234, 172, 235, 183, 246, 189, 252, 186, 249, 178, 241)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 152)(15, 154)(16, 132)(17, 156)(18, 134)(19, 158)(20, 159)(21, 160)(22, 161)(23, 137)(24, 138)(25, 139)(26, 166)(27, 140)(28, 168)(29, 142)(30, 170)(31, 144)(32, 172)(33, 173)(34, 174)(35, 175)(36, 148)(37, 149)(38, 150)(39, 151)(40, 180)(41, 153)(42, 182)(43, 155)(44, 183)(45, 157)(46, 169)(47, 171)(48, 179)(49, 184)(50, 162)(51, 163)(52, 164)(53, 165)(54, 188)(55, 167)(56, 189)(57, 181)(58, 187)(59, 176)(60, 177)(61, 178)(62, 186)(63, 185)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 18, 126 ), ( 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126 ) }
Outer automorphisms :: reflexible
Dual of E24.1584
Graph:: simple bipartite
	v = 72 e = 126 f = 8
	degree seq :: [ 2^63, 14^9 ]

E24.1586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 9, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y1^9 * Y3^2, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^9 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 40, 103, 52, 115, 38, 101, 24, 87, 13, 76, 18, 81, 30, 93, 44, 107, 55, 118, 62, 125, 58, 121, 47, 110, 33, 96, 19, 82, 31, 94, 45, 108, 56, 119, 60, 123, 49, 112, 35, 98, 21, 84, 10, 73, 3, 66, 7, 70, 15, 78, 27, 90, 41, 104, 51, 114, 37, 100, 23, 86, 12, 75, 5, 68, 8, 71, 16, 79, 28, 91, 42, 105, 54, 117, 61, 124, 53, 116, 39, 102, 25, 88, 32, 95, 46, 109, 57, 120, 63, 126, 59, 122, 48, 111, 34, 97, 20, 83, 9, 72, 17, 80, 29, 92, 43, 106, 50, 113, 36, 99, 22, 85, 11, 74, 4, 67)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 151)(20, 159)(21, 160)(22, 161)(23, 137)(24, 138)(25, 139)(26, 167)(27, 169)(28, 140)(29, 171)(30, 142)(31, 158)(32, 144)(33, 165)(34, 173)(35, 174)(36, 175)(37, 148)(38, 149)(39, 150)(40, 177)(41, 176)(42, 152)(43, 182)(44, 154)(45, 172)(46, 156)(47, 179)(48, 184)(49, 185)(50, 186)(51, 162)(52, 163)(53, 164)(54, 166)(55, 168)(56, 183)(57, 170)(58, 187)(59, 188)(60, 189)(61, 178)(62, 180)(63, 181)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 14, 18 ), ( 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18, 14, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1583
Graph:: bipartite
	v = 64 e = 126 f = 16
	degree seq :: [ 2^63, 126 ]

E24.1587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 9, 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, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y3^3 * Y1^-3 * Y3, Y1^7, Y2^9 * Y1^2, Y2^4 * Y3 * Y2^5 * 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 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 26, 89, 35, 98, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 27, 90, 36, 99, 23, 86, 12, 75)(9, 72, 17, 80, 28, 91, 40, 103, 49, 112, 34, 97, 20, 83)(13, 76, 18, 81, 29, 92, 41, 104, 50, 113, 37, 100, 24, 87)(19, 82, 30, 93, 42, 105, 54, 117, 60, 123, 48, 111, 33, 96)(25, 88, 31, 94, 43, 106, 55, 118, 61, 124, 51, 114, 38, 101)(32, 95, 44, 107, 53, 116, 57, 120, 63, 126, 59, 122, 47, 110)(39, 102, 45, 108, 56, 119, 62, 125, 58, 121, 46, 109, 52, 115)(127, 190, 129, 192, 135, 198, 145, 208, 158, 221, 172, 235, 177, 240, 163, 226, 149, 212, 137, 200, 147, 210, 160, 223, 174, 237, 185, 248, 188, 251, 181, 244, 167, 230, 153, 216, 140, 203, 152, 215, 166, 229, 180, 243, 183, 246, 171, 234, 157, 220, 144, 207, 134, 197, 128, 191, 133, 196, 143, 206, 156, 219, 170, 233, 178, 241, 164, 227, 150, 213, 138, 201, 130, 193, 136, 199, 146, 209, 159, 222, 173, 236, 184, 247, 187, 250, 176, 239, 162, 225, 148, 211, 161, 224, 175, 238, 186, 249, 189, 252, 182, 245, 169, 232, 155, 218, 142, 205, 132, 195, 141, 204, 154, 217, 168, 231, 179, 242, 165, 228, 151, 214, 139, 202, 131, 194)
	L = (1, 130)(2, 127)(3, 136)(4, 137)(5, 138)(6, 128)(7, 129)(8, 131)(9, 146)(10, 147)(11, 148)(12, 149)(13, 150)(14, 132)(15, 133)(16, 134)(17, 135)(18, 139)(19, 159)(20, 160)(21, 161)(22, 140)(23, 162)(24, 163)(25, 164)(26, 141)(27, 142)(28, 143)(29, 144)(30, 145)(31, 151)(32, 173)(33, 174)(34, 175)(35, 152)(36, 153)(37, 176)(38, 177)(39, 178)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 165)(46, 184)(47, 185)(48, 186)(49, 166)(50, 167)(51, 187)(52, 172)(53, 170)(54, 168)(55, 169)(56, 171)(57, 179)(58, 188)(59, 189)(60, 180)(61, 181)(62, 182)(63, 183)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1588
Graph:: bipartite
	v = 10 e = 126 f = 70
	degree seq :: [ 14^9, 126 ]

E24.1588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 9, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^7, Y1^9, (Y1^-1 * Y3^-1)^7, (Y3 * Y2^-1)^63 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 37, 100, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 27, 90, 42, 105, 49, 112, 36, 99, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 28, 91, 43, 106, 50, 113, 38, 101, 23, 86, 12, 75)(9, 72, 17, 80, 29, 92, 44, 107, 54, 117, 58, 121, 48, 111, 35, 98, 20, 83)(13, 76, 18, 81, 30, 93, 45, 108, 55, 118, 59, 122, 51, 114, 39, 102, 24, 87)(19, 82, 31, 94, 46, 109, 56, 119, 62, 125, 61, 124, 53, 116, 41, 104, 34, 97)(25, 88, 32, 95, 33, 96, 47, 110, 57, 120, 63, 126, 60, 123, 52, 115, 40, 103)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 159)(20, 160)(21, 161)(22, 162)(23, 137)(24, 138)(25, 139)(26, 168)(27, 170)(28, 140)(29, 172)(30, 142)(31, 173)(32, 144)(33, 156)(34, 158)(35, 167)(36, 174)(37, 175)(38, 148)(39, 149)(40, 150)(41, 151)(42, 180)(43, 152)(44, 182)(45, 154)(46, 183)(47, 171)(48, 179)(49, 184)(50, 163)(51, 164)(52, 165)(53, 166)(54, 188)(55, 169)(56, 189)(57, 181)(58, 187)(59, 176)(60, 177)(61, 178)(62, 186)(63, 185)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 14, 126 ), ( 14, 126, 14, 126, 14, 126, 14, 126, 14, 126, 14, 126, 14, 126, 14, 126, 14, 126 ) }
Outer automorphisms :: reflexible
Dual of E24.1587
Graph:: simple bipartite
	v = 70 e = 126 f = 10
	degree seq :: [ 2^63, 18^7 ]

E24.1589 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 32})
Quotient :: halfedge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y1^-3 * Y3, Y1^2 * Y3 * Y1^-2 * Y2 * Y1^5, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 78, 14, 90, 26, 106, 42, 116, 52, 98, 34, 84, 20, 74, 10, 81, 17, 93, 29, 109, 45, 123, 59, 104, 40, 114, 50, 127, 63, 118, 54, 100, 36, 113, 49, 121, 57, 102, 38, 87, 23, 76, 12, 82, 18, 94, 30, 110, 46, 125, 61, 105, 41, 89, 25, 77, 13, 69, 5, 65)(3, 73, 9, 83, 19, 97, 33, 115, 51, 108, 44, 92, 28, 80, 16, 72, 8, 68, 4, 75, 11, 86, 22, 101, 37, 120, 56, 119, 55, 126, 62, 112, 48, 96, 32, 88, 24, 103, 39, 122, 58, 111, 47, 95, 31, 85, 21, 99, 35, 117, 53, 128, 64, 124, 60, 107, 43, 91, 27, 79, 15, 71, 7, 67)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 46)(29, 47)(32, 50)(34, 53)(36, 55)(37, 57)(39, 59)(41, 51)(42, 60)(44, 61)(45, 58)(48, 63)(49, 56)(52, 64)(54, 62)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 81)(73, 84)(76, 88)(77, 86)(78, 92)(79, 93)(82, 96)(83, 98)(85, 100)(87, 103)(89, 101)(90, 108)(91, 109)(94, 112)(95, 113)(97, 116)(99, 118)(102, 122)(104, 124)(105, 120)(106, 115)(107, 123)(110, 126)(111, 121)(114, 128)(117, 127)(119, 125)
	local type(s) :: { ( 8^64 ) }
Outer automorphisms :: reflexible
Dual of E24.1590
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 64 f = 16
	degree seq :: [ 64^2 ]

E24.1590 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 32})
Quotient :: halfedge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1^4, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * 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, 77, 13, 71, 7, 67)(4, 75, 11, 78, 14, 72, 8, 68)(10, 79, 15, 85, 21, 81, 17, 74)(12, 80, 16, 86, 22, 83, 19, 76)(18, 89, 25, 93, 29, 87, 23, 82)(20, 91, 27, 94, 30, 88, 24, 84)(26, 95, 31, 101, 37, 97, 33, 90)(28, 96, 32, 102, 38, 99, 35, 92)(34, 105, 41, 109, 45, 103, 39, 98)(36, 107, 43, 110, 46, 104, 40, 100)(42, 111, 47, 117, 53, 113, 49, 106)(44, 112, 48, 118, 54, 115, 51, 108)(50, 121, 57, 125, 61, 119, 55, 114)(52, 123, 59, 126, 62, 120, 56, 116)(58, 127, 63, 128, 64, 124, 60, 122)
	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, 54)(47, 55)(49, 57)(52, 60)(53, 61)(56, 58)(59, 64)(62, 63)(65, 68)(66, 72)(67, 74)(69, 75)(70, 78)(71, 79)(73, 81)(76, 84)(77, 85)(80, 88)(82, 90)(83, 91)(86, 94)(87, 95)(89, 97)(92, 100)(93, 101)(96, 104)(98, 106)(99, 107)(102, 110)(103, 111)(105, 113)(108, 116)(109, 117)(112, 120)(114, 122)(115, 123)(118, 126)(119, 127)(121, 124)(125, 128)
	local type(s) :: { ( 64^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1589
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 2
	degree seq :: [ 8^16 ]

E24.1591 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 32})
Quotient :: edge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 5, 69)(2, 66, 7, 71, 16, 80, 8, 72)(3, 67, 10, 74, 20, 84, 11, 75)(6, 70, 14, 78, 24, 88, 15, 79)(9, 73, 18, 82, 28, 92, 19, 83)(13, 77, 22, 86, 32, 96, 23, 87)(17, 81, 26, 90, 36, 100, 27, 91)(21, 85, 30, 94, 40, 104, 31, 95)(25, 89, 34, 98, 44, 108, 35, 99)(29, 93, 38, 102, 48, 112, 39, 103)(33, 97, 42, 106, 52, 116, 43, 107)(37, 101, 46, 110, 56, 120, 47, 111)(41, 105, 50, 114, 60, 124, 51, 115)(45, 109, 54, 118, 62, 126, 55, 119)(49, 113, 58, 122, 64, 128, 59, 123)(53, 117, 61, 125, 63, 127, 57, 121)(129, 130)(131, 137)(132, 136)(133, 135)(134, 141)(138, 147)(139, 146)(140, 144)(142, 151)(143, 150)(145, 153)(148, 156)(149, 157)(152, 160)(154, 163)(155, 162)(158, 167)(159, 166)(161, 169)(164, 172)(165, 173)(168, 176)(170, 179)(171, 178)(174, 183)(175, 182)(177, 185)(180, 188)(181, 187)(184, 190)(186, 191)(189, 192)(193, 195)(194, 198)(196, 203)(197, 202)(199, 207)(200, 206)(201, 209)(204, 212)(205, 213)(208, 216)(210, 219)(211, 218)(214, 223)(215, 222)(217, 225)(220, 228)(221, 229)(224, 232)(226, 235)(227, 234)(230, 239)(231, 238)(233, 241)(236, 244)(237, 245)(240, 248)(242, 251)(243, 250)(246, 249)(247, 253)(252, 256)(254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 128, 128 ), ( 128^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1594
Graph:: simple bipartite
	v = 80 e = 128 f = 2
	degree seq :: [ 2^64, 8^16 ]

E24.1592 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 32})
Quotient :: edge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1)^2, (Y3 * Y2)^2, Y2 * Y3^-1 * Y1 * Y3^6, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^4 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 24, 88, 40, 104, 30, 94, 16, 80, 6, 70, 15, 79, 29, 93, 47, 111, 62, 126, 60, 124, 44, 108, 26, 90, 43, 107, 59, 123, 51, 115, 33, 97, 50, 114, 64, 128, 56, 120, 54, 118, 37, 101, 21, 85, 9, 73, 20, 84, 36, 100, 41, 105, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 31, 95, 39, 103, 23, 87, 11, 75, 3, 67, 10, 74, 22, 86, 38, 102, 55, 119, 53, 117, 35, 99, 19, 83, 34, 98, 52, 116, 58, 122, 42, 106, 57, 121, 63, 127, 49, 113, 61, 125, 46, 110, 28, 92, 14, 78, 27, 91, 45, 109, 48, 112, 32, 96, 18, 82, 8, 72)(129, 130)(131, 137)(132, 136)(133, 135)(134, 142)(138, 149)(139, 148)(140, 146)(141, 145)(143, 156)(144, 155)(147, 161)(150, 165)(151, 164)(152, 160)(153, 159)(154, 170)(157, 174)(158, 173)(162, 179)(163, 178)(166, 182)(167, 169)(168, 176)(171, 186)(172, 185)(175, 189)(177, 190)(180, 187)(181, 192)(183, 184)(188, 191)(193, 195)(194, 198)(196, 203)(197, 202)(199, 208)(200, 207)(201, 211)(204, 215)(205, 214)(206, 218)(209, 222)(210, 221)(212, 227)(213, 226)(216, 231)(217, 230)(219, 236)(220, 235)(223, 232)(224, 239)(225, 241)(228, 245)(229, 244)(233, 247)(234, 248)(237, 252)(238, 251)(240, 254)(242, 255)(243, 253)(246, 250)(249, 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) :: { ( 16, 16 ), ( 16^64 ) }
Outer automorphisms :: reflexible
Dual of E24.1593
Graph:: simple bipartite
	v = 66 e = 128 f = 16
	degree seq :: [ 2^64, 64^2 ]

E24.1593 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 32})
Quotient :: loop^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 16, 80, 144, 208, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 20, 84, 148, 212, 11, 75, 139, 203)(6, 70, 134, 198, 14, 78, 142, 206, 24, 88, 152, 216, 15, 79, 143, 207)(9, 73, 137, 201, 18, 82, 146, 210, 28, 92, 156, 220, 19, 83, 147, 211)(13, 77, 141, 205, 22, 86, 150, 214, 32, 96, 160, 224, 23, 87, 151, 215)(17, 81, 145, 209, 26, 90, 154, 218, 36, 100, 164, 228, 27, 91, 155, 219)(21, 85, 149, 213, 30, 94, 158, 222, 40, 104, 168, 232, 31, 95, 159, 223)(25, 89, 153, 217, 34, 98, 162, 226, 44, 108, 172, 236, 35, 99, 163, 227)(29, 93, 157, 221, 38, 102, 166, 230, 48, 112, 176, 240, 39, 103, 167, 231)(33, 97, 161, 225, 42, 106, 170, 234, 52, 116, 180, 244, 43, 107, 171, 235)(37, 101, 165, 229, 46, 110, 174, 238, 56, 120, 184, 248, 47, 111, 175, 239)(41, 105, 169, 233, 50, 114, 178, 242, 60, 124, 188, 252, 51, 115, 179, 243)(45, 109, 173, 237, 54, 118, 182, 246, 62, 126, 190, 254, 55, 119, 183, 247)(49, 113, 177, 241, 58, 122, 186, 250, 64, 128, 192, 256, 59, 123, 187, 251)(53, 117, 181, 245, 61, 125, 189, 253, 63, 127, 191, 255, 57, 121, 185, 249)
	L = (1, 66)(2, 65)(3, 73)(4, 72)(5, 71)(6, 77)(7, 69)(8, 68)(9, 67)(10, 83)(11, 82)(12, 80)(13, 70)(14, 87)(15, 86)(16, 76)(17, 89)(18, 75)(19, 74)(20, 92)(21, 93)(22, 79)(23, 78)(24, 96)(25, 81)(26, 99)(27, 98)(28, 84)(29, 85)(30, 103)(31, 102)(32, 88)(33, 105)(34, 91)(35, 90)(36, 108)(37, 109)(38, 95)(39, 94)(40, 112)(41, 97)(42, 115)(43, 114)(44, 100)(45, 101)(46, 119)(47, 118)(48, 104)(49, 121)(50, 107)(51, 106)(52, 124)(53, 123)(54, 111)(55, 110)(56, 126)(57, 113)(58, 127)(59, 117)(60, 116)(61, 128)(62, 120)(63, 122)(64, 125)(129, 195)(130, 198)(131, 193)(132, 203)(133, 202)(134, 194)(135, 207)(136, 206)(137, 209)(138, 197)(139, 196)(140, 212)(141, 213)(142, 200)(143, 199)(144, 216)(145, 201)(146, 219)(147, 218)(148, 204)(149, 205)(150, 223)(151, 222)(152, 208)(153, 225)(154, 211)(155, 210)(156, 228)(157, 229)(158, 215)(159, 214)(160, 232)(161, 217)(162, 235)(163, 234)(164, 220)(165, 221)(166, 239)(167, 238)(168, 224)(169, 241)(170, 227)(171, 226)(172, 244)(173, 245)(174, 231)(175, 230)(176, 248)(177, 233)(178, 251)(179, 250)(180, 236)(181, 237)(182, 249)(183, 253)(184, 240)(185, 246)(186, 243)(187, 242)(188, 256)(189, 247)(190, 255)(191, 254)(192, 252)
	local type(s) :: { ( 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1592
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 66
	degree seq :: [ 16^16 ]

E24.1594 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 32})
Quotient :: loop^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1)^2, (Y3 * Y2)^2, Y2 * Y3^-1 * Y1 * Y3^6, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 24, 88, 152, 216, 40, 104, 168, 232, 30, 94, 158, 222, 16, 80, 144, 208, 6, 70, 134, 198, 15, 79, 143, 207, 29, 93, 157, 221, 47, 111, 175, 239, 62, 126, 190, 254, 60, 124, 188, 252, 44, 108, 172, 236, 26, 90, 154, 218, 43, 107, 171, 235, 59, 123, 187, 251, 51, 115, 179, 243, 33, 97, 161, 225, 50, 114, 178, 242, 64, 128, 192, 256, 56, 120, 184, 248, 54, 118, 182, 246, 37, 101, 165, 229, 21, 85, 149, 213, 9, 73, 137, 201, 20, 84, 148, 212, 36, 100, 164, 228, 41, 105, 169, 233, 25, 89, 153, 217, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 17, 81, 145, 209, 31, 95, 159, 223, 39, 103, 167, 231, 23, 87, 151, 215, 11, 75, 139, 203, 3, 67, 131, 195, 10, 74, 138, 202, 22, 86, 150, 214, 38, 102, 166, 230, 55, 119, 183, 247, 53, 117, 181, 245, 35, 99, 163, 227, 19, 83, 147, 211, 34, 98, 162, 226, 52, 116, 180, 244, 58, 122, 186, 250, 42, 106, 170, 234, 57, 121, 185, 249, 63, 127, 191, 255, 49, 113, 177, 241, 61, 125, 189, 253, 46, 110, 174, 238, 28, 92, 156, 220, 14, 78, 142, 206, 27, 91, 155, 219, 45, 109, 173, 237, 48, 112, 176, 240, 32, 96, 160, 224, 18, 82, 146, 210, 8, 72, 136, 200)
	L = (1, 66)(2, 65)(3, 73)(4, 72)(5, 71)(6, 78)(7, 69)(8, 68)(9, 67)(10, 85)(11, 84)(12, 82)(13, 81)(14, 70)(15, 92)(16, 91)(17, 77)(18, 76)(19, 97)(20, 75)(21, 74)(22, 101)(23, 100)(24, 96)(25, 95)(26, 106)(27, 80)(28, 79)(29, 110)(30, 109)(31, 89)(32, 88)(33, 83)(34, 115)(35, 114)(36, 87)(37, 86)(38, 118)(39, 105)(40, 112)(41, 103)(42, 90)(43, 122)(44, 121)(45, 94)(46, 93)(47, 125)(48, 104)(49, 126)(50, 99)(51, 98)(52, 123)(53, 128)(54, 102)(55, 120)(56, 119)(57, 108)(58, 107)(59, 116)(60, 127)(61, 111)(62, 113)(63, 124)(64, 117)(129, 195)(130, 198)(131, 193)(132, 203)(133, 202)(134, 194)(135, 208)(136, 207)(137, 211)(138, 197)(139, 196)(140, 215)(141, 214)(142, 218)(143, 200)(144, 199)(145, 222)(146, 221)(147, 201)(148, 227)(149, 226)(150, 205)(151, 204)(152, 231)(153, 230)(154, 206)(155, 236)(156, 235)(157, 210)(158, 209)(159, 232)(160, 239)(161, 241)(162, 213)(163, 212)(164, 245)(165, 244)(166, 217)(167, 216)(168, 223)(169, 247)(170, 248)(171, 220)(172, 219)(173, 252)(174, 251)(175, 224)(176, 254)(177, 225)(178, 255)(179, 253)(180, 229)(181, 228)(182, 250)(183, 233)(184, 234)(185, 256)(186, 246)(187, 238)(188, 237)(189, 243)(190, 240)(191, 242)(192, 249)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1591
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 128 f = 80
	degree seq :: [ 128^2 ]

E24.1595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1)^2, 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 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 9, 73)(5, 69, 10, 74)(7, 71, 11, 75)(8, 72, 12, 76)(13, 77, 17, 81)(14, 78, 18, 82)(15, 79, 19, 83)(16, 80, 20, 84)(21, 85, 25, 89)(22, 86, 26, 90)(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, 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, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 133, 197)(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, 132)(2, 135)(3, 133)(4, 131)(5, 129)(6, 136)(7, 134)(8, 130)(9, 141)(10, 142)(11, 143)(12, 144)(13, 138)(14, 137)(15, 140)(16, 139)(17, 149)(18, 150)(19, 151)(20, 152)(21, 146)(22, 145)(23, 148)(24, 147)(25, 157)(26, 158)(27, 159)(28, 160)(29, 154)(30, 153)(31, 156)(32, 155)(33, 165)(34, 166)(35, 167)(36, 168)(37, 162)(38, 161)(39, 164)(40, 163)(41, 173)(42, 174)(43, 175)(44, 176)(45, 170)(46, 169)(47, 172)(48, 171)(49, 181)(50, 182)(51, 183)(52, 184)(53, 178)(54, 177)(55, 180)(56, 179)(57, 189)(58, 190)(59, 191)(60, 192)(61, 186)(62, 185)(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) :: { ( 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1604
Graph:: simple bipartite
	v = 64 e = 128 f = 18
	degree seq :: [ 4^64 ]

E24.1596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, (Y2 * Y1)^2, Y3^8 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 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, 50, 114)(42, 106, 49, 113)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 56, 120)(46, 110, 52, 116)(47, 111, 51, 115)(48, 112, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(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, 177, 241, 166, 230)(152, 216, 164, 228, 178, 242, 167, 231)(157, 221, 171, 235, 185, 249, 174, 238)(160, 224, 172, 236, 186, 250, 175, 239)(165, 229, 179, 243, 189, 253, 182, 246)(168, 232, 180, 244, 190, 254, 183, 247)(173, 237, 176, 240, 187, 251, 188, 252)(181, 245, 184, 248, 191, 255, 192, 256)
	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, 177)(34, 146)(35, 179)(36, 148)(37, 181)(38, 182)(39, 151)(40, 152)(41, 185)(42, 154)(43, 176)(44, 156)(45, 175)(46, 188)(47, 159)(48, 160)(49, 189)(50, 162)(51, 184)(52, 164)(53, 183)(54, 192)(55, 167)(56, 168)(57, 187)(58, 170)(59, 172)(60, 186)(61, 191)(62, 178)(63, 180)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1601
Graph:: simple bipartite
	v = 48 e = 128 f = 34
	degree seq :: [ 4^32, 8^16 ]

E24.1597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^-1 * 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 ]
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, 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, 50, 114)(42, 106, 49, 113)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 56, 120)(46, 110, 52, 116)(47, 111, 51, 115)(48, 112, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(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, 177, 241, 166, 230)(152, 216, 164, 228, 178, 242, 167, 231)(157, 221, 171, 235, 185, 249, 174, 238)(160, 224, 172, 236, 186, 250, 175, 239)(165, 229, 179, 243, 189, 253, 182, 246)(168, 232, 180, 244, 190, 254, 183, 247)(173, 237, 187, 251, 188, 252, 176, 240)(181, 245, 191, 255, 192, 256, 184, 248)
	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, 177)(34, 146)(35, 179)(36, 148)(37, 181)(38, 182)(39, 151)(40, 152)(41, 185)(42, 154)(43, 187)(44, 156)(45, 172)(46, 176)(47, 159)(48, 160)(49, 189)(50, 162)(51, 191)(52, 164)(53, 180)(54, 184)(55, 167)(56, 168)(57, 188)(58, 170)(59, 186)(60, 175)(61, 192)(62, 178)(63, 190)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1600
Graph:: simple bipartite
	v = 48 e = 128 f = 34
	degree seq :: [ 4^32, 8^16 ]

E24.1598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * 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 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 5, 69)(4, 68, 6, 70)(7, 71, 10, 74)(8, 72, 9, 73)(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, 131, 195, 130, 194, 133, 197)(132, 196, 136, 200, 134, 198, 137, 201)(135, 199, 139, 203, 138, 202, 140, 204)(141, 205, 145, 209, 142, 206, 146, 210)(143, 207, 147, 211, 144, 208, 148, 212)(149, 213, 153, 217, 150, 214, 154, 218)(151, 215, 155, 219, 152, 216, 156, 220)(157, 221, 161, 225, 158, 222, 162, 226)(159, 223, 163, 227, 160, 224, 164, 228)(165, 229, 169, 233, 166, 230, 170, 234)(167, 231, 171, 235, 168, 232, 172, 236)(173, 237, 177, 241, 174, 238, 178, 242)(175, 239, 179, 243, 176, 240, 180, 244)(181, 245, 185, 249, 182, 246, 186, 250)(183, 247, 187, 251, 184, 248, 188, 252)(189, 253, 192, 256, 190, 254, 191, 255)
	L = (1, 132)(2, 134)(3, 135)(4, 129)(5, 138)(6, 130)(7, 131)(8, 141)(9, 142)(10, 133)(11, 143)(12, 144)(13, 136)(14, 137)(15, 139)(16, 140)(17, 149)(18, 150)(19, 151)(20, 152)(21, 145)(22, 146)(23, 147)(24, 148)(25, 157)(26, 158)(27, 159)(28, 160)(29, 153)(30, 154)(31, 155)(32, 156)(33, 165)(34, 166)(35, 167)(36, 168)(37, 161)(38, 162)(39, 163)(40, 164)(41, 173)(42, 174)(43, 175)(44, 176)(45, 169)(46, 170)(47, 171)(48, 172)(49, 181)(50, 182)(51, 183)(52, 184)(53, 177)(54, 178)(55, 179)(56, 180)(57, 189)(58, 190)(59, 191)(60, 192)(61, 185)(62, 186)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1603
Graph:: bipartite
	v = 48 e = 128 f = 34
	degree seq :: [ 4^32, 8^16 ]

E24.1599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|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 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3, Y2^-1 * Y3 * 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 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 10, 74)(6, 70, 11, 75)(8, 72, 12, 76)(13, 77, 17, 81)(14, 78, 18, 82)(15, 79, 19, 83)(16, 80, 20, 84)(21, 85, 25, 89)(22, 86, 26, 90)(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, 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, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 135, 199, 133, 197)(130, 194, 134, 198, 132, 196, 136, 200)(137, 201, 141, 205, 138, 202, 142, 206)(139, 203, 143, 207, 140, 204, 144, 208)(145, 209, 149, 213, 146, 210, 150, 214)(147, 211, 151, 215, 148, 212, 152, 216)(153, 217, 157, 221, 154, 218, 158, 222)(155, 219, 159, 223, 156, 220, 160, 224)(161, 225, 165, 229, 162, 226, 166, 230)(163, 227, 167, 231, 164, 228, 168, 232)(169, 233, 173, 237, 170, 234, 174, 238)(171, 235, 175, 239, 172, 236, 176, 240)(177, 241, 181, 245, 178, 242, 182, 246)(179, 243, 183, 247, 180, 244, 184, 248)(185, 249, 189, 253, 186, 250, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 137)(6, 140)(7, 130)(8, 139)(9, 133)(10, 131)(11, 136)(12, 134)(13, 146)(14, 145)(15, 148)(16, 147)(17, 142)(18, 141)(19, 144)(20, 143)(21, 154)(22, 153)(23, 156)(24, 155)(25, 150)(26, 149)(27, 152)(28, 151)(29, 162)(30, 161)(31, 164)(32, 163)(33, 158)(34, 157)(35, 160)(36, 159)(37, 170)(38, 169)(39, 172)(40, 171)(41, 166)(42, 165)(43, 168)(44, 167)(45, 178)(46, 177)(47, 180)(48, 179)(49, 174)(50, 173)(51, 176)(52, 175)(53, 186)(54, 185)(55, 188)(56, 187)(57, 182)(58, 181)(59, 184)(60, 183)(61, 191)(62, 192)(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) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1602
Graph:: bipartite
	v = 48 e = 128 f = 34
	degree seq :: [ 4^32, 8^16 ]

E24.1600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1 * Y3^3, Y3^6 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 39, 103, 32, 96, 49, 113, 36, 100, 17, 81, 6, 70, 10, 74, 22, 86, 42, 106, 33, 97, 14, 78, 25, 89, 45, 109, 37, 101, 18, 82, 26, 90, 46, 110, 34, 98, 15, 79, 4, 68, 9, 73, 21, 85, 41, 105, 38, 102, 50, 114, 35, 99, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 51, 115, 63, 127, 56, 120, 60, 124, 44, 108, 24, 88, 13, 77, 29, 93, 53, 117, 61, 125, 47, 111, 30, 94, 54, 118, 62, 126, 48, 112, 31, 95, 55, 119, 59, 123, 43, 107, 23, 87, 12, 76, 28, 92, 52, 116, 64, 128, 57, 121, 58, 122, 40, 104, 20, 84, 8, 72)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 152, 216)(138, 202, 151, 215)(142, 206, 159, 223)(143, 207, 157, 221)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 158, 222)(147, 211, 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, 178)(33, 167)(34, 170)(35, 174)(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, 183)(59, 181)(60, 168)(61, 179)(62, 172)(63, 185)(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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.1597
Graph:: bipartite
	v = 34 e = 128 f = 48
	degree seq :: [ 4^32, 64^2 ]

E24.1601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-6, Y1^3 * Y3 * Y1 * Y3^3 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 39, 103, 34, 98, 15, 79, 4, 68, 9, 73, 21, 85, 41, 105, 38, 102, 50, 114, 33, 97, 14, 78, 25, 89, 45, 109, 37, 101, 18, 82, 26, 90, 46, 110, 32, 96, 49, 113, 36, 100, 17, 81, 6, 70, 10, 74, 22, 86, 42, 106, 35, 99, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 51, 115, 59, 123, 43, 107, 23, 87, 12, 76, 28, 92, 52, 116, 64, 128, 57, 121, 61, 125, 47, 111, 30, 94, 54, 118, 62, 126, 48, 112, 31, 95, 55, 119, 63, 127, 56, 120, 60, 124, 44, 108, 24, 88, 13, 77, 29, 93, 53, 117, 58, 122, 40, 104, 20, 84, 8, 72)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 152, 216)(138, 202, 151, 215)(142, 206, 159, 223)(143, 207, 157, 221)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 158, 222)(147, 211, 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, 170)(33, 174)(34, 178)(35, 167)(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, 179)(59, 185)(60, 168)(61, 183)(62, 172)(63, 181)(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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.1596
Graph:: bipartite
	v = 34 e = 128 f = 48
	degree seq :: [ 4^32, 64^2 ]

E24.1602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1, Y1^16 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 10, 74, 3, 67, 7, 71, 16, 80, 24, 88, 32, 96, 40, 104, 48, 112, 56, 120, 62, 126, 54, 118, 46, 110, 38, 102, 30, 94, 22, 86, 14, 78, 5, 69)(4, 68, 11, 75, 20, 84, 28, 92, 36, 100, 44, 108, 52, 116, 60, 124, 64, 128, 57, 121, 50, 114, 41, 105, 34, 98, 25, 89, 18, 82, 8, 72, 9, 73, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 61, 125, 63, 127, 58, 122, 49, 113, 42, 106, 33, 97, 26, 90, 17, 81, 12, 76)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 137, 201)(133, 197, 138, 202)(134, 198, 144, 208)(136, 200, 140, 204)(139, 203, 141, 205)(142, 206, 147, 211)(143, 207, 152, 216)(145, 209, 146, 210)(148, 212, 149, 213)(150, 214, 155, 219)(151, 215, 160, 224)(153, 217, 154, 218)(156, 220, 157, 221)(158, 222, 163, 227)(159, 223, 168, 232)(161, 225, 162, 226)(164, 228, 165, 229)(166, 230, 171, 235)(167, 231, 176, 240)(169, 233, 170, 234)(172, 236, 173, 237)(174, 238, 179, 243)(175, 239, 184, 248)(177, 241, 178, 242)(180, 244, 181, 245)(182, 246, 187, 251)(183, 247, 190, 254)(185, 249, 186, 250)(188, 252, 189, 253)(191, 255, 192, 256)
	L = (1, 132)(2, 136)(3, 137)(4, 129)(5, 141)(6, 145)(7, 140)(8, 130)(9, 131)(10, 139)(11, 138)(12, 135)(13, 133)(14, 148)(15, 153)(16, 146)(17, 134)(18, 144)(19, 149)(20, 142)(21, 147)(22, 157)(23, 161)(24, 154)(25, 143)(26, 152)(27, 156)(28, 155)(29, 150)(30, 164)(31, 169)(32, 162)(33, 151)(34, 160)(35, 165)(36, 158)(37, 163)(38, 173)(39, 177)(40, 170)(41, 159)(42, 168)(43, 172)(44, 171)(45, 166)(46, 180)(47, 185)(48, 178)(49, 167)(50, 176)(51, 181)(52, 174)(53, 179)(54, 189)(55, 191)(56, 186)(57, 175)(58, 184)(59, 188)(60, 187)(61, 182)(62, 192)(63, 183)(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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.1599
Graph:: bipartite
	v = 34 e = 128 f = 48
	degree seq :: [ 4^32, 64^2 ]

E24.1603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y2 * Y1^16, Y1^-1 * Y3 * Y1^7 * Y3 * Y1^-8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 61, 125, 58, 122, 50, 114, 42, 106, 34, 98, 26, 90, 18, 82, 10, 74, 16, 80, 24, 88, 32, 96, 40, 104, 48, 112, 56, 120, 64, 128, 60, 124, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69)(3, 67, 9, 73, 17, 81, 25, 89, 33, 97, 41, 105, 49, 113, 57, 121, 63, 127, 54, 118, 47, 111, 38, 102, 31, 95, 22, 86, 15, 79, 7, 71, 4, 68, 11, 75, 19, 83, 27, 91, 35, 99, 43, 107, 51, 115, 59, 123, 62, 126, 55, 119, 46, 110, 39, 103, 30, 94, 23, 87, 14, 78, 8, 72)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 139, 203)(134, 198, 142, 206)(136, 200, 144, 208)(137, 201, 146, 210)(140, 204, 145, 209)(141, 205, 150, 214)(143, 207, 152, 216)(147, 211, 154, 218)(148, 212, 155, 219)(149, 213, 158, 222)(151, 215, 160, 224)(153, 217, 162, 226)(156, 220, 161, 225)(157, 221, 166, 230)(159, 223, 168, 232)(163, 227, 170, 234)(164, 228, 171, 235)(165, 229, 174, 238)(167, 231, 176, 240)(169, 233, 178, 242)(172, 236, 177, 241)(173, 237, 182, 246)(175, 239, 184, 248)(179, 243, 186, 250)(180, 244, 187, 251)(181, 245, 190, 254)(183, 247, 192, 256)(185, 249, 189, 253)(188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 137)(6, 143)(7, 144)(8, 130)(9, 133)(10, 131)(11, 146)(12, 147)(13, 151)(14, 152)(15, 134)(16, 135)(17, 154)(18, 139)(19, 140)(20, 153)(21, 159)(22, 160)(23, 141)(24, 142)(25, 148)(26, 145)(27, 162)(28, 163)(29, 167)(30, 168)(31, 149)(32, 150)(33, 170)(34, 155)(35, 156)(36, 169)(37, 175)(38, 176)(39, 157)(40, 158)(41, 164)(42, 161)(43, 178)(44, 179)(45, 183)(46, 184)(47, 165)(48, 166)(49, 186)(50, 171)(51, 172)(52, 185)(53, 191)(54, 192)(55, 173)(56, 174)(57, 180)(58, 177)(59, 189)(60, 190)(61, 187)(62, 188)(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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.1598
Graph:: bipartite
	v = 34 e = 128 f = 48
	degree seq :: [ 4^32, 64^2 ]

E24.1604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-16 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 13, 77, 8, 72)(5, 69, 11, 75, 14, 78, 7, 71)(10, 74, 16, 80, 21, 85, 17, 81)(12, 76, 15, 79, 22, 86, 19, 83)(18, 82, 25, 89, 29, 93, 24, 88)(20, 84, 27, 91, 30, 94, 23, 87)(26, 90, 32, 96, 37, 101, 33, 97)(28, 92, 31, 95, 38, 102, 35, 99)(34, 98, 41, 105, 45, 109, 40, 104)(36, 100, 43, 107, 46, 110, 39, 103)(42, 106, 48, 112, 53, 117, 49, 113)(44, 108, 47, 111, 54, 118, 51, 115)(50, 114, 57, 121, 61, 125, 56, 120)(52, 116, 59, 123, 62, 126, 55, 119)(58, 122, 64, 128, 60, 124, 63, 127)(129, 193, 131, 195, 138, 202, 146, 210, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 190, 254, 182, 246, 174, 238, 166, 230, 158, 222, 150, 214, 142, 206, 134, 198, 141, 205, 149, 213, 157, 221, 165, 229, 173, 237, 181, 245, 189, 253, 188, 252, 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, 191, 255, 185, 249, 177, 241, 169, 233, 161, 225, 153, 217, 145, 209, 137, 201, 132, 196, 139, 203, 147, 211, 155, 219, 163, 227, 171, 235, 179, 243, 187, 251, 192, 256, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 144, 208, 136, 200)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 139)(6, 132)(7, 133)(8, 131)(9, 141)(10, 144)(11, 142)(12, 143)(13, 136)(14, 135)(15, 150)(16, 149)(17, 138)(18, 153)(19, 140)(20, 155)(21, 145)(22, 147)(23, 148)(24, 146)(25, 157)(26, 160)(27, 158)(28, 159)(29, 152)(30, 151)(31, 166)(32, 165)(33, 154)(34, 169)(35, 156)(36, 171)(37, 161)(38, 163)(39, 164)(40, 162)(41, 173)(42, 176)(43, 174)(44, 175)(45, 168)(46, 167)(47, 182)(48, 181)(49, 170)(50, 185)(51, 172)(52, 187)(53, 177)(54, 179)(55, 180)(56, 178)(57, 189)(58, 192)(59, 190)(60, 191)(61, 184)(62, 183)(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 ), ( 4^64 ) }
Outer automorphisms :: reflexible
Dual of E24.1595
Graph:: bipartite
	v = 18 e = 128 f = 64
	degree seq :: [ 8^16, 64^2 ]

E24.1605 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^16 * T1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 59, 51, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 50, 58, 64, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 63, 56, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 55, 60, 52, 44, 36, 28, 20, 12, 5)(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, 125, 122)(116, 120, 126, 123)(121, 124, 127, 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) :: { ( 128^4 ), ( 128^64 ) }
Outer automorphisms :: reflexible
Dual of E24.1609
Transitivity :: ET+
Graph:: bipartite
	v = 17 e = 64 f = 1
	degree seq :: [ 4^16, 64 ]

E24.1606 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^16 * T1^-1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 56, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 55, 63, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 64, 59, 51, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 50, 58, 60, 52, 44, 36, 28, 20, 12, 5)(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, 125, 122)(116, 120, 126, 123)(121, 127, 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) :: { ( 128^4 ), ( 128^64 ) }
Outer automorphisms :: reflexible
Dual of E24.1608
Transitivity :: ET+
Graph:: bipartite
	v = 17 e = 64 f = 1
	degree seq :: [ 4^16, 64 ]

E24.1607 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2 * T1^3 * T2^2, T2^4 * T1^-1 * T2 * T1^-10, T2^29 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 57, 62, 53, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 58, 63, 54, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 59, 64, 55, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 52, 60, 61, 56, 47, 38, 26, 25, 13, 5)(65, 66, 70, 78, 90, 101, 109, 117, 125, 123, 114, 105, 100, 85, 74, 67, 71, 79, 91, 89, 96, 104, 112, 120, 128, 122, 113, 108, 99, 84, 73, 81, 93, 88, 77, 82, 94, 103, 111, 119, 127, 121, 116, 107, 98, 83, 95, 87, 76, 69, 72, 80, 92, 102, 110, 118, 126, 124, 115, 106, 97, 86, 75, 68)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^64 ) }
Outer automorphisms :: reflexible
Dual of E24.1610
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 64 f = 16
	degree seq :: [ 64^2 ]

E24.1608 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^16 * T1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 17, 81, 25, 89, 33, 97, 41, 105, 49, 113, 57, 121, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75, 4, 68, 10, 74, 18, 82, 26, 90, 34, 98, 42, 106, 50, 114, 58, 122, 64, 128, 62, 126, 54, 118, 46, 110, 38, 102, 30, 94, 22, 86, 14, 78, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 61, 125, 63, 127, 56, 120, 48, 112, 40, 104, 32, 96, 24, 88, 16, 80, 8, 72, 2, 66, 7, 71, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 60, 124, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69)
	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, 125)(56, 126)(57, 124)(58, 113)(59, 116)(60, 127)(61, 122)(62, 123)(63, 128)(64, 121)
	local type(s) :: { ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1606
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 64 f = 17
	degree seq :: [ 128 ]

E24.1609 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^16 * T1^-1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 17, 81, 25, 89, 33, 97, 41, 105, 49, 113, 57, 121, 56, 120, 48, 112, 40, 104, 32, 96, 24, 88, 16, 80, 8, 72, 2, 66, 7, 71, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 63, 127, 62, 126, 54, 118, 46, 110, 38, 102, 30, 94, 22, 86, 14, 78, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 61, 125, 64, 128, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75, 4, 68, 10, 74, 18, 82, 26, 90, 34, 98, 42, 106, 50, 114, 58, 122, 60, 124, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69)
	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, 125)(56, 126)(57, 127)(58, 113)(59, 116)(60, 121)(61, 122)(62, 123)(63, 128)(64, 124)
	local type(s) :: { ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E24.1605
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 64 f = 17
	degree seq :: [ 128 ]

E24.1610 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^16 * T2, T1^6 * T2^-2 * T1^-7 * T2^-2 * T1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 5, 69)(2, 66, 7, 71, 16, 80, 8, 72)(4, 68, 10, 74, 17, 81, 12, 76)(6, 70, 14, 78, 24, 88, 15, 79)(11, 75, 18, 82, 25, 89, 20, 84)(13, 77, 22, 86, 32, 96, 23, 87)(19, 83, 26, 90, 33, 97, 28, 92)(21, 85, 30, 94, 40, 104, 31, 95)(27, 91, 34, 98, 41, 105, 36, 100)(29, 93, 38, 102, 48, 112, 39, 103)(35, 99, 42, 106, 49, 113, 44, 108)(37, 101, 46, 110, 56, 120, 47, 111)(43, 107, 50, 114, 57, 121, 52, 116)(45, 109, 54, 118, 62, 126, 55, 119)(51, 115, 58, 122, 63, 127, 60, 124)(53, 117, 59, 123, 64, 128, 61, 125)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 77)(7, 78)(8, 79)(9, 80)(10, 67)(11, 68)(12, 69)(13, 85)(14, 86)(15, 87)(16, 88)(17, 73)(18, 74)(19, 75)(20, 76)(21, 93)(22, 94)(23, 95)(24, 96)(25, 81)(26, 82)(27, 83)(28, 84)(29, 101)(30, 102)(31, 103)(32, 104)(33, 89)(34, 90)(35, 91)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 97)(42, 98)(43, 99)(44, 100)(45, 117)(46, 118)(47, 119)(48, 120)(49, 105)(50, 106)(51, 107)(52, 108)(53, 124)(54, 123)(55, 125)(56, 126)(57, 113)(58, 114)(59, 115)(60, 116)(61, 127)(62, 128)(63, 121)(64, 122)
	local type(s) :: { ( 64^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1607
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 2
	degree seq :: [ 8^16 ]

E24.1611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3 * Y2^16, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 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, 61, 125, 58, 122)(52, 116, 56, 120, 62, 126, 59, 123)(57, 121, 63, 127, 64, 128, 60, 124)(129, 193, 131, 195, 137, 201, 145, 209, 153, 217, 161, 225, 169, 233, 177, 241, 185, 249, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 144, 208, 136, 200, 130, 194, 135, 199, 143, 207, 151, 215, 159, 223, 167, 231, 175, 239, 183, 247, 191, 255, 190, 254, 182, 246, 174, 238, 166, 230, 158, 222, 150, 214, 142, 206, 134, 198, 141, 205, 149, 213, 157, 221, 165, 229, 173, 237, 181, 245, 189, 253, 192, 256, 187, 251, 179, 243, 171, 235, 163, 227, 155, 219, 147, 211, 139, 203, 132, 196, 138, 202, 146, 210, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 188, 252, 180, 244, 172, 236, 164, 228, 156, 220, 148, 212, 140, 204, 133, 197)
	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, 188)(58, 189)(59, 190)(60, 192)(61, 183)(62, 184)(63, 185)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 128, 2, 128, 2, 128, 2, 128 ), ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ) }
Outer automorphisms :: reflexible
Dual of E24.1615
Graph:: bipartite
	v = 17 e = 128 f = 65
	degree seq :: [ 8^16, 128 ]

E24.1612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^16 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 61, 125, 58, 122)(52, 116, 56, 120, 62, 126, 59, 123)(57, 121, 60, 124, 63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 145, 209, 153, 217, 161, 225, 169, 233, 177, 241, 185, 249, 187, 251, 179, 243, 171, 235, 163, 227, 155, 219, 147, 211, 139, 203, 132, 196, 138, 202, 146, 210, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 192, 256, 190, 254, 182, 246, 174, 238, 166, 230, 158, 222, 150, 214, 142, 206, 134, 198, 141, 205, 149, 213, 157, 221, 165, 229, 173, 237, 181, 245, 189, 253, 191, 255, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 144, 208, 136, 200, 130, 194, 135, 199, 143, 207, 151, 215, 159, 223, 167, 231, 175, 239, 183, 247, 188, 252, 180, 244, 172, 236, 164, 228, 156, 220, 148, 212, 140, 204, 133, 197)
	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, 192)(58, 189)(59, 190)(60, 185)(61, 183)(62, 184)(63, 188)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 128, 2, 128, 2, 128, 2, 128 ), ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ) }
Outer automorphisms :: reflexible
Dual of E24.1616
Graph:: bipartite
	v = 17 e = 128 f = 65
	degree seq :: [ 8^16, 128 ]

E24.1613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^4 * Y1^4, (Y3^-1 * Y1^-1)^4, Y2^7 * Y1^-9, Y1 * Y2^49, Y2^64, Y1^77 * Y2^-3 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 37, 101, 45, 109, 53, 117, 61, 125, 57, 121, 52, 116, 43, 107, 34, 98, 19, 83, 31, 95, 23, 87, 12, 76, 5, 69, 8, 72, 16, 80, 28, 92, 38, 102, 46, 110, 54, 118, 62, 126, 58, 122, 49, 113, 44, 108, 35, 99, 20, 84, 9, 73, 17, 81, 29, 93, 24, 88, 13, 77, 18, 82, 30, 94, 39, 103, 47, 111, 55, 119, 63, 127, 59, 123, 50, 114, 41, 105, 36, 100, 21, 85, 10, 74, 3, 67, 7, 71, 15, 79, 27, 91, 25, 89, 32, 96, 40, 104, 48, 112, 56, 120, 64, 128, 60, 124, 51, 115, 42, 106, 33, 97, 22, 86, 11, 75, 4, 68)(129, 193, 131, 195, 137, 201, 147, 211, 161, 225, 169, 233, 177, 241, 185, 249, 192, 256, 183, 247, 174, 238, 165, 229, 160, 224, 146, 210, 136, 200, 130, 194, 135, 199, 145, 209, 159, 223, 150, 214, 164, 228, 172, 236, 180, 244, 188, 252, 191, 255, 182, 246, 173, 237, 168, 232, 158, 222, 144, 208, 134, 198, 143, 207, 157, 221, 151, 215, 139, 203, 149, 213, 163, 227, 171, 235, 179, 243, 187, 251, 190, 254, 181, 245, 176, 240, 167, 231, 156, 220, 142, 206, 155, 219, 152, 216, 140, 204, 132, 196, 138, 202, 148, 212, 162, 226, 170, 234, 178, 242, 186, 250, 189, 253, 184, 248, 175, 239, 166, 230, 154, 218, 153, 217, 141, 205, 133, 197)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 164)(23, 139)(24, 140)(25, 141)(26, 153)(27, 152)(28, 142)(29, 151)(30, 144)(31, 150)(32, 146)(33, 169)(34, 170)(35, 171)(36, 172)(37, 160)(38, 154)(39, 156)(40, 158)(41, 177)(42, 178)(43, 179)(44, 180)(45, 168)(46, 165)(47, 166)(48, 167)(49, 185)(50, 186)(51, 187)(52, 188)(53, 176)(54, 173)(55, 174)(56, 175)(57, 192)(58, 189)(59, 190)(60, 191)(61, 184)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E24.1614
Graph:: bipartite
	v = 2 e = 128 f = 80
	degree seq :: [ 128^2 ]

E24.1614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^4, Y2 * Y3^16, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^64 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 135, 199, 141, 205, 138, 202)(133, 197, 136, 200, 142, 206, 139, 203)(137, 201, 143, 207, 149, 213, 146, 210)(140, 204, 144, 208, 150, 214, 147, 211)(145, 209, 151, 215, 157, 221, 154, 218)(148, 212, 152, 216, 158, 222, 155, 219)(153, 217, 159, 223, 165, 229, 162, 226)(156, 220, 160, 224, 166, 230, 163, 227)(161, 225, 167, 231, 173, 237, 170, 234)(164, 228, 168, 232, 174, 238, 171, 235)(169, 233, 175, 239, 181, 245, 178, 242)(172, 236, 176, 240, 182, 246, 179, 243)(177, 241, 183, 247, 189, 253, 186, 250)(180, 244, 184, 248, 190, 254, 187, 251)(185, 249, 188, 252, 191, 255, 192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 141)(7, 143)(8, 130)(9, 145)(10, 146)(11, 132)(12, 133)(13, 149)(14, 134)(15, 151)(16, 136)(17, 153)(18, 154)(19, 139)(20, 140)(21, 157)(22, 142)(23, 159)(24, 144)(25, 161)(26, 162)(27, 147)(28, 148)(29, 165)(30, 150)(31, 167)(32, 152)(33, 169)(34, 170)(35, 155)(36, 156)(37, 173)(38, 158)(39, 175)(40, 160)(41, 177)(42, 178)(43, 163)(44, 164)(45, 181)(46, 166)(47, 183)(48, 168)(49, 185)(50, 186)(51, 171)(52, 172)(53, 189)(54, 174)(55, 188)(56, 176)(57, 187)(58, 192)(59, 179)(60, 180)(61, 191)(62, 182)(63, 184)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 128, 128 ), ( 128^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1613
Graph:: simple bipartite
	v = 80 e = 128 f = 2
	degree seq :: [ 2^64, 8^16 ]

E24.1615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^16 * Y3, Y1^6 * Y3^-2 * Y1^-7 * Y3^-2 * Y1, (Y1^-1 * Y3^-1)^64 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 60, 124, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69, 8, 72, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 61, 125, 63, 127, 57, 121, 49, 113, 41, 105, 33, 97, 25, 89, 17, 81, 9, 73, 16, 80, 24, 88, 32, 96, 40, 104, 48, 112, 56, 120, 62, 126, 64, 128, 58, 122, 50, 114, 42, 106, 34, 98, 26, 90, 18, 82, 10, 74, 3, 67, 7, 71, 14, 78, 22, 86, 30, 94, 38, 102, 46, 110, 54, 118, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75, 4, 68)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 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, 187)(54, 190)(55, 173)(56, 175)(57, 180)(58, 191)(59, 192)(60, 179)(61, 181)(62, 183)(63, 188)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 128 ), ( 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128 ) }
Outer automorphisms :: reflexible
Dual of E24.1611
Graph:: bipartite
	v = 65 e = 128 f = 17
	degree seq :: [ 2^64, 128 ]

E24.1616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^16 * Y3^-1, (Y1^-1 * Y3^-1)^64 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 58, 122, 50, 114, 42, 106, 34, 98, 26, 90, 18, 82, 10, 74, 3, 67, 7, 71, 14, 78, 22, 86, 30, 94, 38, 102, 46, 110, 54, 118, 61, 125, 63, 127, 57, 121, 49, 113, 41, 105, 33, 97, 25, 89, 17, 81, 9, 73, 16, 80, 24, 88, 32, 96, 40, 104, 48, 112, 56, 120, 62, 126, 64, 128, 60, 124, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69, 8, 72, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75, 4, 68)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 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, 189)(54, 190)(55, 173)(56, 175)(57, 180)(58, 191)(59, 181)(60, 179)(61, 192)(62, 183)(63, 188)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 128 ), ( 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128, 8, 128 ) }
Outer automorphisms :: reflexible
Dual of E24.1612
Graph:: bipartite
	v = 65 e = 128 f = 17
	degree seq :: [ 2^64, 128 ]

E24.1617 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 13, 65})
Quotient :: edge
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 53, 43, 33, 23, 13, 5)(2, 7, 16, 26, 36, 46, 56, 57, 47, 37, 27, 17, 8)(4, 10, 19, 29, 39, 49, 58, 61, 52, 42, 32, 22, 12)(6, 14, 24, 34, 44, 54, 62, 63, 55, 45, 35, 25, 15)(11, 20, 30, 40, 50, 59, 64, 65, 60, 51, 41, 31, 21)(66, 67, 71, 76, 69)(68, 72, 79, 85, 75)(70, 73, 80, 86, 77)(74, 81, 89, 95, 84)(78, 82, 90, 96, 87)(83, 91, 99, 105, 94)(88, 92, 100, 106, 97)(93, 101, 109, 115, 104)(98, 102, 110, 116, 107)(103, 111, 119, 124, 114)(108, 112, 120, 125, 117)(113, 121, 127, 129, 123)(118, 122, 128, 130, 126)
	L = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)
	local type(s) :: { ( 130^5 ), ( 130^13 ) }
Outer automorphisms :: reflexible
Dual of E24.1621
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 65 f = 1
	degree seq :: [ 5^13, 13^5 ]

E24.1618 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 13, 65})
Quotient :: edge
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5 * T2^5, (T1^-1 * T2^-1)^5, T2^-6 * T1^-3 * T2 * T1^-2, T1^2 * T2^-1 * T1 * T2^-2 * T1^4 * T2^-2 * T1, T1 * T2^-1 * T1 * T2^-9 * T1, T1^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 61, 59, 46, 28, 14, 27, 45, 39, 23, 11, 21, 35, 53, 63, 56, 50, 32, 18, 8, 2, 7, 17, 31, 49, 37, 55, 65, 58, 44, 26, 43, 40, 24, 12, 4, 10, 20, 34, 52, 62, 60, 48, 30, 16, 6, 15, 29, 47, 38, 22, 36, 54, 64, 57, 42, 41, 25, 13, 5)(66, 67, 71, 79, 91, 107, 121, 127, 116, 102, 87, 76, 69)(68, 72, 80, 92, 108, 106, 115, 125, 126, 120, 101, 86, 75)(70, 73, 81, 93, 109, 122, 128, 117, 98, 114, 103, 88, 77)(74, 82, 94, 110, 105, 90, 97, 113, 124, 130, 119, 100, 85)(78, 83, 95, 111, 123, 129, 118, 99, 84, 96, 112, 104, 89)
	L = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)
	local type(s) :: { ( 10^13 ), ( 10^65 ) }
Outer automorphisms :: reflexible
Dual of E24.1622
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 65 f = 13
	degree seq :: [ 13^5, 65 ]

E24.1619 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 13, 65})
Quotient :: edge
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-5, T2^5, T1^13 * T2^-2, (T1^-1 * T2^-1)^13, T1^-4 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 5)(2, 7, 17, 18, 8)(4, 10, 19, 23, 12)(6, 15, 27, 28, 16)(11, 20, 29, 33, 22)(14, 25, 37, 38, 26)(21, 30, 39, 43, 32)(24, 35, 47, 48, 36)(31, 40, 49, 53, 42)(34, 45, 57, 58, 46)(41, 50, 59, 63, 52)(44, 55, 65, 61, 56)(51, 60, 54, 64, 62)(66, 67, 71, 79, 89, 99, 109, 119, 124, 114, 104, 94, 84, 74, 82, 92, 102, 112, 122, 130, 127, 117, 107, 97, 87, 77, 70, 73, 81, 91, 101, 111, 121, 125, 115, 105, 95, 85, 75, 68, 72, 80, 90, 100, 110, 120, 129, 128, 118, 108, 98, 88, 78, 83, 93, 103, 113, 123, 126, 116, 106, 96, 86, 76, 69)
	L = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)
	local type(s) :: { ( 26^5 ), ( 26^65 ) }
Outer automorphisms :: reflexible
Dual of E24.1620
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 65 f = 5
	degree seq :: [ 5^13, 65 ]

E24.1620 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 13, 65})
Quotient :: loop
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^13 ]
Map:: non-degenerate
	R = (1, 66, 3, 68, 9, 74, 18, 83, 28, 93, 38, 103, 48, 113, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 5, 70)(2, 67, 7, 72, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 57, 122, 47, 112, 37, 102, 27, 92, 17, 82, 8, 73)(4, 69, 10, 75, 19, 84, 29, 94, 39, 104, 49, 114, 58, 123, 61, 126, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77)(6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 62, 127, 63, 128, 55, 120, 45, 110, 35, 100, 25, 90, 15, 80)(11, 76, 20, 85, 30, 95, 40, 105, 50, 115, 59, 124, 64, 129, 65, 130, 60, 125, 51, 116, 41, 106, 31, 96, 21, 86)
	L = (1, 67)(2, 71)(3, 72)(4, 66)(5, 73)(6, 76)(7, 79)(8, 80)(9, 81)(10, 68)(11, 69)(12, 70)(13, 82)(14, 85)(15, 86)(16, 89)(17, 90)(18, 91)(19, 74)(20, 75)(21, 77)(22, 78)(23, 92)(24, 95)(25, 96)(26, 99)(27, 100)(28, 101)(29, 83)(30, 84)(31, 87)(32, 88)(33, 102)(34, 105)(35, 106)(36, 109)(37, 110)(38, 111)(39, 93)(40, 94)(41, 97)(42, 98)(43, 112)(44, 115)(45, 116)(46, 119)(47, 120)(48, 121)(49, 103)(50, 104)(51, 107)(52, 108)(53, 122)(54, 124)(55, 125)(56, 127)(57, 128)(58, 113)(59, 114)(60, 117)(61, 118)(62, 129)(63, 130)(64, 123)(65, 126)
	local type(s) :: { ( 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65 ) }
Outer automorphisms :: reflexible
Dual of E24.1619
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 65 f = 14
	degree seq :: [ 26^5 ]

E24.1621 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 13, 65})
Quotient :: loop
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5 * T2^5, (T1^-1 * T2^-1)^5, T2^-6 * T1^-3 * T2 * T1^-2, T1^2 * T2^-1 * T1 * T2^-2 * T1^4 * T2^-2 * T1, T1 * T2^-1 * T1 * T2^-9 * T1, T1^13 ]
Map:: non-degenerate
	R = (1, 66, 3, 68, 9, 74, 19, 84, 33, 98, 51, 116, 61, 126, 59, 124, 46, 111, 28, 93, 14, 79, 27, 92, 45, 110, 39, 104, 23, 88, 11, 76, 21, 86, 35, 100, 53, 118, 63, 128, 56, 121, 50, 115, 32, 97, 18, 83, 8, 73, 2, 67, 7, 72, 17, 82, 31, 96, 49, 114, 37, 102, 55, 120, 65, 130, 58, 123, 44, 109, 26, 91, 43, 108, 40, 105, 24, 89, 12, 77, 4, 69, 10, 75, 20, 85, 34, 99, 52, 117, 62, 127, 60, 125, 48, 113, 30, 95, 16, 81, 6, 71, 15, 80, 29, 94, 47, 112, 38, 103, 22, 87, 36, 101, 54, 119, 64, 129, 57, 122, 42, 107, 41, 106, 25, 90, 13, 78, 5, 70)
	L = (1, 67)(2, 71)(3, 72)(4, 66)(5, 73)(6, 79)(7, 80)(8, 81)(9, 82)(10, 68)(11, 69)(12, 70)(13, 83)(14, 91)(15, 92)(16, 93)(17, 94)(18, 95)(19, 96)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 97)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 115)(42, 121)(43, 106)(44, 122)(45, 105)(46, 123)(47, 104)(48, 124)(49, 103)(50, 125)(51, 102)(52, 98)(53, 99)(54, 100)(55, 101)(56, 127)(57, 128)(58, 129)(59, 130)(60, 126)(61, 120)(62, 116)(63, 117)(64, 118)(65, 119)
	local type(s) :: { ( 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13, 5, 13 ) }
Outer automorphisms :: reflexible
Dual of E24.1617
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 65 f = 18
	degree seq :: [ 130 ]

E24.1622 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 13, 65})
Quotient :: loop
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-5, T2^5, T1^13 * T2^-2, (T1^-1 * T2^-1)^13, T1^-4 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 * T1^-5 * T2^2 ]
Map:: non-degenerate
	R = (1, 66, 3, 68, 9, 74, 13, 78, 5, 70)(2, 67, 7, 72, 17, 82, 18, 83, 8, 73)(4, 69, 10, 75, 19, 84, 23, 88, 12, 77)(6, 71, 15, 80, 27, 92, 28, 93, 16, 81)(11, 76, 20, 85, 29, 94, 33, 98, 22, 87)(14, 79, 25, 90, 37, 102, 38, 103, 26, 91)(21, 86, 30, 95, 39, 104, 43, 108, 32, 97)(24, 89, 35, 100, 47, 112, 48, 113, 36, 101)(31, 96, 40, 105, 49, 114, 53, 118, 42, 107)(34, 99, 45, 110, 57, 122, 58, 123, 46, 111)(41, 106, 50, 115, 59, 124, 63, 128, 52, 117)(44, 109, 55, 120, 65, 130, 61, 126, 56, 121)(51, 116, 60, 125, 54, 119, 64, 129, 62, 127)
	L = (1, 67)(2, 71)(3, 72)(4, 66)(5, 73)(6, 79)(7, 80)(8, 81)(9, 82)(10, 68)(11, 69)(12, 70)(13, 83)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 74)(20, 75)(21, 76)(22, 77)(23, 78)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 84)(30, 85)(31, 86)(32, 87)(33, 88)(34, 109)(35, 110)(36, 111)(37, 112)(38, 113)(39, 94)(40, 95)(41, 96)(42, 97)(43, 98)(44, 119)(45, 120)(46, 121)(47, 122)(48, 123)(49, 104)(50, 105)(51, 106)(52, 107)(53, 108)(54, 124)(55, 129)(56, 125)(57, 130)(58, 126)(59, 114)(60, 115)(61, 116)(62, 117)(63, 118)(64, 128)(65, 127)
	local type(s) :: { ( 13, 65, 13, 65, 13, 65, 13, 65, 13, 65 ) }
Outer automorphisms :: reflexible
Dual of E24.1618
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 65 f = 6
	degree seq :: [ 10^13 ]

E24.1623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 13, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^13, Y3^65 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 11, 76, 4, 69)(3, 68, 7, 72, 14, 79, 20, 85, 10, 75)(5, 70, 8, 73, 15, 80, 21, 86, 12, 77)(9, 74, 16, 81, 24, 89, 30, 95, 19, 84)(13, 78, 17, 82, 25, 90, 31, 96, 22, 87)(18, 83, 26, 91, 34, 99, 40, 105, 29, 94)(23, 88, 27, 92, 35, 100, 41, 106, 32, 97)(28, 93, 36, 101, 44, 109, 50, 115, 39, 104)(33, 98, 37, 102, 45, 110, 51, 116, 42, 107)(38, 103, 46, 111, 54, 119, 59, 124, 49, 114)(43, 108, 47, 112, 55, 120, 60, 125, 52, 117)(48, 113, 56, 121, 62, 127, 64, 129, 58, 123)(53, 118, 57, 122, 63, 128, 65, 130, 61, 126)(131, 196, 133, 198, 139, 204, 148, 213, 158, 223, 168, 233, 178, 243, 183, 248, 173, 238, 163, 228, 153, 218, 143, 208, 135, 200)(132, 197, 137, 202, 146, 211, 156, 221, 166, 231, 176, 241, 186, 251, 187, 252, 177, 242, 167, 232, 157, 222, 147, 212, 138, 203)(134, 199, 140, 205, 149, 214, 159, 224, 169, 234, 179, 244, 188, 253, 191, 256, 182, 247, 172, 237, 162, 227, 152, 217, 142, 207)(136, 201, 144, 209, 154, 219, 164, 229, 174, 239, 184, 249, 192, 257, 193, 258, 185, 250, 175, 240, 165, 230, 155, 220, 145, 210)(141, 206, 150, 215, 160, 225, 170, 235, 180, 245, 189, 254, 194, 259, 195, 260, 190, 255, 181, 246, 171, 236, 161, 226, 151, 216)
	L = (1, 134)(2, 131)(3, 140)(4, 141)(5, 142)(6, 132)(7, 133)(8, 135)(9, 149)(10, 150)(11, 136)(12, 151)(13, 152)(14, 137)(15, 138)(16, 139)(17, 143)(18, 159)(19, 160)(20, 144)(21, 145)(22, 161)(23, 162)(24, 146)(25, 147)(26, 148)(27, 153)(28, 169)(29, 170)(30, 154)(31, 155)(32, 171)(33, 172)(34, 156)(35, 157)(36, 158)(37, 163)(38, 179)(39, 180)(40, 164)(41, 165)(42, 181)(43, 182)(44, 166)(45, 167)(46, 168)(47, 173)(48, 188)(49, 189)(50, 174)(51, 175)(52, 190)(53, 191)(54, 176)(55, 177)(56, 178)(57, 183)(58, 194)(59, 184)(60, 185)(61, 195)(62, 186)(63, 187)(64, 192)(65, 193)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ), ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ) }
Outer automorphisms :: reflexible
Dual of E24.1626
Graph:: bipartite
	v = 18 e = 130 f = 66
	degree seq :: [ 10^13, 26^5 ]

E24.1624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 13, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-5 * Y1^-5, (Y3^-1 * Y1^-1)^5, Y2^10 * Y1^-3, Y1^4 * Y2^-1 * Y1 * Y2^-1 * Y1^3 * Y2^-3, Y1^13, Y1^-1 * Y2^25 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 14, 79, 26, 91, 42, 107, 56, 121, 62, 127, 51, 116, 37, 102, 22, 87, 11, 76, 4, 69)(3, 68, 7, 72, 15, 80, 27, 92, 43, 108, 41, 106, 50, 115, 60, 125, 61, 126, 55, 120, 36, 101, 21, 86, 10, 75)(5, 70, 8, 73, 16, 81, 28, 93, 44, 109, 57, 122, 63, 128, 52, 117, 33, 98, 49, 114, 38, 103, 23, 88, 12, 77)(9, 74, 17, 82, 29, 94, 45, 110, 40, 105, 25, 90, 32, 97, 48, 113, 59, 124, 65, 130, 54, 119, 35, 100, 20, 85)(13, 78, 18, 83, 30, 95, 46, 111, 58, 123, 64, 129, 53, 118, 34, 99, 19, 84, 31, 96, 47, 112, 39, 104, 24, 89)(131, 196, 133, 198, 139, 204, 149, 214, 163, 228, 181, 246, 191, 256, 189, 254, 176, 241, 158, 223, 144, 209, 157, 222, 175, 240, 169, 234, 153, 218, 141, 206, 151, 216, 165, 230, 183, 248, 193, 258, 186, 251, 180, 245, 162, 227, 148, 213, 138, 203, 132, 197, 137, 202, 147, 212, 161, 226, 179, 244, 167, 232, 185, 250, 195, 260, 188, 253, 174, 239, 156, 221, 173, 238, 170, 235, 154, 219, 142, 207, 134, 199, 140, 205, 150, 215, 164, 229, 182, 247, 192, 257, 190, 255, 178, 243, 160, 225, 146, 211, 136, 201, 145, 210, 159, 224, 177, 242, 168, 233, 152, 217, 166, 231, 184, 249, 194, 259, 187, 252, 172, 237, 171, 236, 155, 220, 143, 208, 135, 200)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 145)(7, 147)(8, 132)(9, 149)(10, 150)(11, 151)(12, 134)(13, 135)(14, 157)(15, 159)(16, 136)(17, 161)(18, 138)(19, 163)(20, 164)(21, 165)(22, 166)(23, 141)(24, 142)(25, 143)(26, 173)(27, 175)(28, 144)(29, 177)(30, 146)(31, 179)(32, 148)(33, 181)(34, 182)(35, 183)(36, 184)(37, 185)(38, 152)(39, 153)(40, 154)(41, 155)(42, 171)(43, 170)(44, 156)(45, 169)(46, 158)(47, 168)(48, 160)(49, 167)(50, 162)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 180)(57, 172)(58, 174)(59, 176)(60, 178)(61, 189)(62, 190)(63, 186)(64, 187)(65, 188)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1625
Graph:: bipartite
	v = 6 e = 130 f = 78
	degree seq :: [ 26^5, 130 ]

E24.1625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 13, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^5, Y2^5, Y2^2 * Y3^13, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^65 ]
Map::
	R = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)(131, 196, 132, 197, 136, 201, 141, 206, 134, 199)(133, 198, 137, 202, 144, 209, 150, 215, 140, 205)(135, 200, 138, 203, 145, 210, 151, 216, 142, 207)(139, 204, 146, 211, 154, 219, 160, 225, 149, 214)(143, 208, 147, 212, 155, 220, 161, 226, 152, 217)(148, 213, 156, 221, 164, 229, 170, 235, 159, 224)(153, 218, 157, 222, 165, 230, 171, 236, 162, 227)(158, 223, 166, 231, 174, 239, 180, 245, 169, 234)(163, 228, 167, 232, 175, 240, 181, 246, 172, 237)(168, 233, 176, 241, 184, 249, 190, 255, 179, 244)(173, 238, 177, 242, 185, 250, 191, 256, 182, 247)(178, 243, 186, 251, 193, 258, 195, 260, 189, 254)(183, 248, 187, 252, 194, 259, 188, 253, 192, 257)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 144)(7, 146)(8, 132)(9, 148)(10, 149)(11, 150)(12, 134)(13, 135)(14, 154)(15, 136)(16, 156)(17, 138)(18, 158)(19, 159)(20, 160)(21, 141)(22, 142)(23, 143)(24, 164)(25, 145)(26, 166)(27, 147)(28, 168)(29, 169)(30, 170)(31, 151)(32, 152)(33, 153)(34, 174)(35, 155)(36, 176)(37, 157)(38, 178)(39, 179)(40, 180)(41, 161)(42, 162)(43, 163)(44, 184)(45, 165)(46, 186)(47, 167)(48, 188)(49, 189)(50, 190)(51, 171)(52, 172)(53, 173)(54, 193)(55, 175)(56, 192)(57, 177)(58, 191)(59, 194)(60, 195)(61, 181)(62, 182)(63, 183)(64, 185)(65, 187)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 26, 130 ), ( 26, 130, 26, 130, 26, 130, 26, 130, 26, 130 ) }
Outer automorphisms :: reflexible
Dual of E24.1624
Graph:: simple bipartite
	v = 78 e = 130 f = 6
	degree seq :: [ 2^65, 10^13 ]

E24.1626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 13, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^13 * Y3^-2 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 59, 124, 49, 114, 39, 104, 29, 94, 19, 84, 9, 74, 17, 82, 27, 92, 37, 102, 47, 112, 57, 122, 65, 130, 62, 127, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77, 5, 70, 8, 73, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 60, 125, 50, 115, 40, 105, 30, 95, 20, 85, 10, 75, 3, 68, 7, 72, 15, 80, 25, 90, 35, 100, 45, 110, 55, 120, 64, 129, 63, 128, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 18, 83, 28, 93, 38, 103, 48, 113, 58, 123, 61, 126, 51, 116, 41, 106, 31, 96, 21, 86, 11, 76, 4, 69)(131, 196)(132, 197)(133, 198)(134, 199)(135, 200)(136, 201)(137, 202)(138, 203)(139, 204)(140, 205)(141, 206)(142, 207)(143, 208)(144, 209)(145, 210)(146, 211)(147, 212)(148, 213)(149, 214)(150, 215)(151, 216)(152, 217)(153, 218)(154, 219)(155, 220)(156, 221)(157, 222)(158, 223)(159, 224)(160, 225)(161, 226)(162, 227)(163, 228)(164, 229)(165, 230)(166, 231)(167, 232)(168, 233)(169, 234)(170, 235)(171, 236)(172, 237)(173, 238)(174, 239)(175, 240)(176, 241)(177, 242)(178, 243)(179, 244)(180, 245)(181, 246)(182, 247)(183, 248)(184, 249)(185, 250)(186, 251)(187, 252)(188, 253)(189, 254)(190, 255)(191, 256)(192, 257)(193, 258)(194, 259)(195, 260)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 145)(7, 147)(8, 132)(9, 143)(10, 149)(11, 150)(12, 134)(13, 135)(14, 155)(15, 157)(16, 136)(17, 148)(18, 138)(19, 153)(20, 159)(21, 160)(22, 141)(23, 142)(24, 165)(25, 167)(26, 144)(27, 158)(28, 146)(29, 163)(30, 169)(31, 170)(32, 151)(33, 152)(34, 175)(35, 177)(36, 154)(37, 168)(38, 156)(39, 173)(40, 179)(41, 180)(42, 161)(43, 162)(44, 185)(45, 187)(46, 164)(47, 178)(48, 166)(49, 183)(50, 189)(51, 190)(52, 171)(53, 172)(54, 194)(55, 195)(56, 174)(57, 188)(58, 176)(59, 193)(60, 184)(61, 186)(62, 181)(63, 182)(64, 192)(65, 191)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 10, 26 ), ( 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26, 10, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1623
Graph:: bipartite
	v = 66 e = 130 f = 18
	degree seq :: [ 2^65, 130 ]

E24.1627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 13, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^-13 * Y1^2, Y1^2 * Y2^3 * Y1^2 * Y2^3 * Y1^2 * Y2^3 * Y1^2 * Y2^4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 11, 76, 4, 69)(3, 68, 7, 72, 14, 79, 20, 85, 10, 75)(5, 70, 8, 73, 15, 80, 21, 86, 12, 77)(9, 74, 16, 81, 24, 89, 30, 95, 19, 84)(13, 78, 17, 82, 25, 90, 31, 96, 22, 87)(18, 83, 26, 91, 34, 99, 40, 105, 29, 94)(23, 88, 27, 92, 35, 100, 41, 106, 32, 97)(28, 93, 36, 101, 44, 109, 50, 115, 39, 104)(33, 98, 37, 102, 45, 110, 51, 116, 42, 107)(38, 103, 46, 111, 54, 119, 60, 125, 49, 114)(43, 108, 47, 112, 55, 120, 61, 126, 52, 117)(48, 113, 56, 121, 64, 129, 63, 128, 59, 124)(53, 118, 57, 122, 58, 123, 65, 130, 62, 127)(131, 196, 133, 198, 139, 204, 148, 213, 158, 223, 168, 233, 178, 243, 188, 253, 185, 250, 175, 240, 165, 230, 155, 220, 145, 210, 136, 201, 144, 209, 154, 219, 164, 229, 174, 239, 184, 249, 194, 259, 192, 257, 182, 247, 172, 237, 162, 227, 152, 217, 142, 207, 134, 199, 140, 205, 149, 214, 159, 224, 169, 234, 179, 244, 189, 254, 187, 252, 177, 242, 167, 232, 157, 222, 147, 212, 138, 203, 132, 197, 137, 202, 146, 211, 156, 221, 166, 231, 176, 241, 186, 251, 195, 260, 191, 256, 181, 246, 171, 236, 161, 226, 151, 216, 141, 206, 150, 215, 160, 225, 170, 235, 180, 245, 190, 255, 193, 258, 183, 248, 173, 238, 163, 228, 153, 218, 143, 208, 135, 200)
	L = (1, 134)(2, 131)(3, 140)(4, 141)(5, 142)(6, 132)(7, 133)(8, 135)(9, 149)(10, 150)(11, 136)(12, 151)(13, 152)(14, 137)(15, 138)(16, 139)(17, 143)(18, 159)(19, 160)(20, 144)(21, 145)(22, 161)(23, 162)(24, 146)(25, 147)(26, 148)(27, 153)(28, 169)(29, 170)(30, 154)(31, 155)(32, 171)(33, 172)(34, 156)(35, 157)(36, 158)(37, 163)(38, 179)(39, 180)(40, 164)(41, 165)(42, 181)(43, 182)(44, 166)(45, 167)(46, 168)(47, 173)(48, 189)(49, 190)(50, 174)(51, 175)(52, 191)(53, 192)(54, 176)(55, 177)(56, 178)(57, 183)(58, 187)(59, 193)(60, 184)(61, 185)(62, 195)(63, 194)(64, 186)(65, 188)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ), ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1628
Graph:: bipartite
	v = 14 e = 130 f = 70
	degree seq :: [ 10^13, 130 ]

E24.1628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 13, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-1 * Y1^2 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-5 * Y3^-5, Y1 * Y3^-2 * Y1^2 * Y3^-1 * Y1^4 * Y3^-2 * Y1, Y1^13, Y1^-1 * Y3^25, (Y3 * Y2^-1)^65 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 14, 79, 26, 91, 42, 107, 56, 121, 62, 127, 51, 116, 37, 102, 22, 87, 11, 76, 4, 69)(3, 68, 7, 72, 15, 80, 27, 92, 43, 108, 41, 106, 50, 115, 60, 125, 61, 126, 55, 120, 36, 101, 21, 86, 10, 75)(5, 70, 8, 73, 16, 81, 28, 93, 44, 109, 57, 122, 63, 128, 52, 117, 33, 98, 49, 114, 38, 103, 23, 88, 12, 77)(9, 74, 17, 82, 29, 94, 45, 110, 40, 105, 25, 90, 32, 97, 48, 113, 59, 124, 65, 130, 54, 119, 35, 100, 20, 85)(13, 78, 18, 83, 30, 95, 46, 111, 58, 123, 64, 129, 53, 118, 34, 99, 19, 84, 31, 96, 47, 112, 39, 104, 24, 89)(131, 196)(132, 197)(133, 198)(134, 199)(135, 200)(136, 201)(137, 202)(138, 203)(139, 204)(140, 205)(141, 206)(142, 207)(143, 208)(144, 209)(145, 210)(146, 211)(147, 212)(148, 213)(149, 214)(150, 215)(151, 216)(152, 217)(153, 218)(154, 219)(155, 220)(156, 221)(157, 222)(158, 223)(159, 224)(160, 225)(161, 226)(162, 227)(163, 228)(164, 229)(165, 230)(166, 231)(167, 232)(168, 233)(169, 234)(170, 235)(171, 236)(172, 237)(173, 238)(174, 239)(175, 240)(176, 241)(177, 242)(178, 243)(179, 244)(180, 245)(181, 246)(182, 247)(183, 248)(184, 249)(185, 250)(186, 251)(187, 252)(188, 253)(189, 254)(190, 255)(191, 256)(192, 257)(193, 258)(194, 259)(195, 260)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 145)(7, 147)(8, 132)(9, 149)(10, 150)(11, 151)(12, 134)(13, 135)(14, 157)(15, 159)(16, 136)(17, 161)(18, 138)(19, 163)(20, 164)(21, 165)(22, 166)(23, 141)(24, 142)(25, 143)(26, 173)(27, 175)(28, 144)(29, 177)(30, 146)(31, 179)(32, 148)(33, 181)(34, 182)(35, 183)(36, 184)(37, 185)(38, 152)(39, 153)(40, 154)(41, 155)(42, 171)(43, 170)(44, 156)(45, 169)(46, 158)(47, 168)(48, 160)(49, 167)(50, 162)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 180)(57, 172)(58, 174)(59, 176)(60, 178)(61, 189)(62, 190)(63, 186)(64, 187)(65, 188)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 10, 130 ), ( 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130 ) }
Outer automorphisms :: reflexible
Dual of E24.1627
Graph:: simple bipartite
	v = 70 e = 130 f = 14
	degree seq :: [ 2^65, 26^5 ]

E24.1629 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 17, 68})
Quotient :: edge
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 64, 56, 48, 40, 32, 24, 16, 8)(4, 10, 18, 26, 34, 42, 50, 58, 65, 66, 59, 51, 43, 35, 27, 19, 11)(6, 13, 21, 29, 37, 45, 53, 61, 67, 68, 62, 54, 46, 38, 30, 22, 14)(69, 70, 74, 72)(71, 75, 81, 78)(73, 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, 121, 118)(112, 116, 122, 119)(117, 123, 129, 126)(120, 124, 130, 127)(125, 131, 135, 133)(128, 132, 136, 134)
	L = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 136^4 ), ( 136^17 ) }
Outer automorphisms :: reflexible
Dual of E24.1633
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 68 f = 1
	degree seq :: [ 4^17, 17^4 ]

E24.1630 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 17, 68})
Quotient :: edge
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^4 * T1^4, T1^-1 * T2^16, T1 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, T1^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 57, 65, 64, 55, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 52, 60, 68, 63, 54, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 59, 67, 62, 53, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 58, 66, 61, 56, 47, 38, 26, 25, 13, 5)(69, 70, 74, 82, 94, 105, 113, 121, 129, 133, 128, 119, 110, 101, 90, 79, 72)(71, 75, 83, 95, 93, 100, 108, 116, 124, 132, 136, 127, 118, 109, 104, 89, 78)(73, 76, 84, 96, 106, 114, 122, 130, 134, 125, 120, 111, 102, 87, 99, 91, 80)(77, 85, 97, 92, 81, 86, 98, 107, 115, 123, 131, 135, 126, 117, 112, 103, 88)
	L = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 8^17 ), ( 8^68 ) }
Outer automorphisms :: reflexible
Dual of E24.1634
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 68 f = 17
	degree seq :: [ 17^4, 68 ]

E24.1631 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 17, 68})
Quotient :: edge
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-17 * T2^-1, (T1^-1 * T2^-1)^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 7, 16, 8)(4, 10, 17, 12)(6, 14, 24, 15)(11, 18, 25, 20)(13, 22, 32, 23)(19, 26, 33, 28)(21, 30, 40, 31)(27, 34, 41, 36)(29, 38, 48, 39)(35, 42, 49, 44)(37, 46, 56, 47)(43, 50, 57, 52)(45, 54, 64, 55)(51, 58, 65, 60)(53, 62, 68, 63)(59, 66, 67, 61)(69, 70, 74, 81, 89, 97, 105, 113, 121, 129, 128, 120, 112, 104, 96, 88, 80, 73, 76, 83, 91, 99, 107, 115, 123, 131, 135, 133, 125, 117, 109, 101, 93, 85, 77, 84, 92, 100, 108, 116, 124, 132, 136, 134, 126, 118, 110, 102, 94, 86, 78, 71, 75, 82, 90, 98, 106, 114, 122, 130, 127, 119, 111, 103, 95, 87, 79, 72)
	L = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34^4 ), ( 34^68 ) }
Outer automorphisms :: reflexible
Dual of E24.1632
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 68 f = 4
	degree seq :: [ 4^17, 68 ]

E24.1632 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 17, 68})
Quotient :: loop
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^17 ]
Map:: non-degenerate
	R = (1, 69, 3, 71, 9, 77, 17, 85, 25, 93, 33, 101, 41, 109, 49, 117, 57, 125, 60, 128, 52, 120, 44, 112, 36, 104, 28, 96, 20, 88, 12, 80, 5, 73)(2, 70, 7, 75, 15, 83, 23, 91, 31, 99, 39, 107, 47, 115, 55, 123, 63, 131, 64, 132, 56, 124, 48, 116, 40, 108, 32, 100, 24, 92, 16, 84, 8, 76)(4, 72, 10, 78, 18, 86, 26, 94, 34, 102, 42, 110, 50, 118, 58, 126, 65, 133, 66, 134, 59, 127, 51, 119, 43, 111, 35, 103, 27, 95, 19, 87, 11, 79)(6, 74, 13, 81, 21, 89, 29, 97, 37, 105, 45, 113, 53, 121, 61, 129, 67, 135, 68, 136, 62, 130, 54, 122, 46, 114, 38, 106, 30, 98, 22, 90, 14, 82)
	L = (1, 70)(2, 74)(3, 75)(4, 69)(5, 76)(6, 72)(7, 81)(8, 82)(9, 83)(10, 71)(11, 73)(12, 84)(13, 78)(14, 79)(15, 89)(16, 90)(17, 91)(18, 77)(19, 80)(20, 92)(21, 86)(22, 87)(23, 97)(24, 98)(25, 99)(26, 85)(27, 88)(28, 100)(29, 94)(30, 95)(31, 105)(32, 106)(33, 107)(34, 93)(35, 96)(36, 108)(37, 102)(38, 103)(39, 113)(40, 114)(41, 115)(42, 101)(43, 104)(44, 116)(45, 110)(46, 111)(47, 121)(48, 122)(49, 123)(50, 109)(51, 112)(52, 124)(53, 118)(54, 119)(55, 129)(56, 130)(57, 131)(58, 117)(59, 120)(60, 132)(61, 126)(62, 127)(63, 135)(64, 136)(65, 125)(66, 128)(67, 133)(68, 134)
	local type(s) :: { ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.1631
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 68 f = 18
	degree seq :: [ 34^4 ]

E24.1633 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 17, 68})
Quotient :: loop
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^4 * T1^4, T1^-1 * T2^16, T1 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, T1^17 ]
Map:: non-degenerate
	R = (1, 69, 3, 71, 9, 77, 19, 87, 33, 101, 41, 109, 49, 117, 57, 125, 65, 133, 64, 132, 55, 123, 46, 114, 37, 105, 32, 100, 18, 86, 8, 76, 2, 70, 7, 75, 17, 85, 31, 99, 22, 90, 36, 104, 44, 112, 52, 120, 60, 128, 68, 136, 63, 131, 54, 122, 45, 113, 40, 108, 30, 98, 16, 84, 6, 74, 15, 83, 29, 97, 23, 91, 11, 79, 21, 89, 35, 103, 43, 111, 51, 119, 59, 127, 67, 135, 62, 130, 53, 121, 48, 116, 39, 107, 28, 96, 14, 82, 27, 95, 24, 92, 12, 80, 4, 72, 10, 78, 20, 88, 34, 102, 42, 110, 50, 118, 58, 126, 66, 134, 61, 129, 56, 124, 47, 115, 38, 106, 26, 94, 25, 93, 13, 81, 5, 73)
	L = (1, 70)(2, 74)(3, 75)(4, 69)(5, 76)(6, 82)(7, 83)(8, 84)(9, 85)(10, 71)(11, 72)(12, 73)(13, 86)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 100)(26, 105)(27, 93)(28, 106)(29, 92)(30, 107)(31, 91)(32, 108)(33, 90)(34, 87)(35, 88)(36, 89)(37, 113)(38, 114)(39, 115)(40, 116)(41, 104)(42, 101)(43, 102)(44, 103)(45, 121)(46, 122)(47, 123)(48, 124)(49, 112)(50, 109)(51, 110)(52, 111)(53, 129)(54, 130)(55, 131)(56, 132)(57, 120)(58, 117)(59, 118)(60, 119)(61, 133)(62, 134)(63, 135)(64, 136)(65, 128)(66, 125)(67, 126)(68, 127)
	local type(s) :: { ( 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17, 4, 17 ) }
Outer automorphisms :: reflexible
Dual of E24.1629
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 68 f = 21
	degree seq :: [ 136 ]

E24.1634 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 17, 68})
Quotient :: loop
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-17 * T2^-1, (T1^-1 * T2^-1)^17 ]
Map:: non-degenerate
	R = (1, 69, 3, 71, 9, 77, 5, 73)(2, 70, 7, 75, 16, 84, 8, 76)(4, 72, 10, 78, 17, 85, 12, 80)(6, 74, 14, 82, 24, 92, 15, 83)(11, 79, 18, 86, 25, 93, 20, 88)(13, 81, 22, 90, 32, 100, 23, 91)(19, 87, 26, 94, 33, 101, 28, 96)(21, 89, 30, 98, 40, 108, 31, 99)(27, 95, 34, 102, 41, 109, 36, 104)(29, 97, 38, 106, 48, 116, 39, 107)(35, 103, 42, 110, 49, 117, 44, 112)(37, 105, 46, 114, 56, 124, 47, 115)(43, 111, 50, 118, 57, 125, 52, 120)(45, 113, 54, 122, 64, 132, 55, 123)(51, 119, 58, 126, 65, 133, 60, 128)(53, 121, 62, 130, 68, 136, 63, 131)(59, 127, 66, 134, 67, 135, 61, 129)
	L = (1, 70)(2, 74)(3, 75)(4, 69)(5, 76)(6, 81)(7, 82)(8, 83)(9, 84)(10, 71)(11, 72)(12, 73)(13, 89)(14, 90)(15, 91)(16, 92)(17, 77)(18, 78)(19, 79)(20, 80)(21, 97)(22, 98)(23, 99)(24, 100)(25, 85)(26, 86)(27, 87)(28, 88)(29, 105)(30, 106)(31, 107)(32, 108)(33, 93)(34, 94)(35, 95)(36, 96)(37, 113)(38, 114)(39, 115)(40, 116)(41, 101)(42, 102)(43, 103)(44, 104)(45, 121)(46, 122)(47, 123)(48, 124)(49, 109)(50, 110)(51, 111)(52, 112)(53, 129)(54, 130)(55, 131)(56, 132)(57, 117)(58, 118)(59, 119)(60, 120)(61, 128)(62, 127)(63, 135)(64, 136)(65, 125)(66, 126)(67, 133)(68, 134)
	local type(s) :: { ( 17, 68, 17, 68, 17, 68, 17, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.1630
Transitivity :: ET+ VT+ AT
Graph::
	v = 17 e = 68 f = 5
	degree seq :: [ 8^17 ]

E24.1635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 17, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^17, Y3^68 ]
Map::
	R = (1, 69, 2, 70, 6, 74, 4, 72)(3, 71, 7, 75, 13, 81, 10, 78)(5, 73, 8, 76, 14, 82, 11, 79)(9, 77, 15, 83, 21, 89, 18, 86)(12, 80, 16, 84, 22, 90, 19, 87)(17, 85, 23, 91, 29, 97, 26, 94)(20, 88, 24, 92, 30, 98, 27, 95)(25, 93, 31, 99, 37, 105, 34, 102)(28, 96, 32, 100, 38, 106, 35, 103)(33, 101, 39, 107, 45, 113, 42, 110)(36, 104, 40, 108, 46, 114, 43, 111)(41, 109, 47, 115, 53, 121, 50, 118)(44, 112, 48, 116, 54, 122, 51, 119)(49, 117, 55, 123, 61, 129, 58, 126)(52, 120, 56, 124, 62, 130, 59, 127)(57, 125, 63, 131, 67, 135, 65, 133)(60, 128, 64, 132, 68, 136, 66, 134)(137, 205, 139, 207, 145, 213, 153, 221, 161, 229, 169, 237, 177, 245, 185, 253, 193, 261, 196, 264, 188, 256, 180, 248, 172, 240, 164, 232, 156, 224, 148, 216, 141, 209)(138, 206, 143, 211, 151, 219, 159, 227, 167, 235, 175, 243, 183, 251, 191, 259, 199, 267, 200, 268, 192, 260, 184, 252, 176, 244, 168, 236, 160, 228, 152, 220, 144, 212)(140, 208, 146, 214, 154, 222, 162, 230, 170, 238, 178, 246, 186, 254, 194, 262, 201, 269, 202, 270, 195, 263, 187, 255, 179, 247, 171, 239, 163, 231, 155, 223, 147, 215)(142, 210, 149, 217, 157, 225, 165, 233, 173, 241, 181, 249, 189, 257, 197, 265, 203, 271, 204, 272, 198, 266, 190, 258, 182, 250, 174, 242, 166, 234, 158, 226, 150, 218)
	L = (1, 140)(2, 137)(3, 146)(4, 142)(5, 147)(6, 138)(7, 139)(8, 141)(9, 154)(10, 149)(11, 150)(12, 155)(13, 143)(14, 144)(15, 145)(16, 148)(17, 162)(18, 157)(19, 158)(20, 163)(21, 151)(22, 152)(23, 153)(24, 156)(25, 170)(26, 165)(27, 166)(28, 171)(29, 159)(30, 160)(31, 161)(32, 164)(33, 178)(34, 173)(35, 174)(36, 179)(37, 167)(38, 168)(39, 169)(40, 172)(41, 186)(42, 181)(43, 182)(44, 187)(45, 175)(46, 176)(47, 177)(48, 180)(49, 194)(50, 189)(51, 190)(52, 195)(53, 183)(54, 184)(55, 185)(56, 188)(57, 201)(58, 197)(59, 198)(60, 202)(61, 191)(62, 192)(63, 193)(64, 196)(65, 203)(66, 204)(67, 199)(68, 200)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 2, 136, 2, 136, 2, 136, 2, 136 ), ( 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136 ) }
Outer automorphisms :: reflexible
Dual of E24.1638
Graph:: bipartite
	v = 21 e = 136 f = 69
	degree seq :: [ 8^17, 34^4 ]

E24.1636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 17, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|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, Y1^-1 * Y2^16, Y1^17 ]
Map::
	R = (1, 69, 2, 70, 6, 74, 14, 82, 26, 94, 37, 105, 45, 113, 53, 121, 61, 129, 65, 133, 60, 128, 51, 119, 42, 110, 33, 101, 22, 90, 11, 79, 4, 72)(3, 71, 7, 75, 15, 83, 27, 95, 25, 93, 32, 100, 40, 108, 48, 116, 56, 124, 64, 132, 68, 136, 59, 127, 50, 118, 41, 109, 36, 104, 21, 89, 10, 78)(5, 73, 8, 76, 16, 84, 28, 96, 38, 106, 46, 114, 54, 122, 62, 130, 66, 134, 57, 125, 52, 120, 43, 111, 34, 102, 19, 87, 31, 99, 23, 91, 12, 80)(9, 77, 17, 85, 29, 97, 24, 92, 13, 81, 18, 86, 30, 98, 39, 107, 47, 115, 55, 123, 63, 131, 67, 135, 58, 126, 49, 117, 44, 112, 35, 103, 20, 88)(137, 205, 139, 207, 145, 213, 155, 223, 169, 237, 177, 245, 185, 253, 193, 261, 201, 269, 200, 268, 191, 259, 182, 250, 173, 241, 168, 236, 154, 222, 144, 212, 138, 206, 143, 211, 153, 221, 167, 235, 158, 226, 172, 240, 180, 248, 188, 256, 196, 264, 204, 272, 199, 267, 190, 258, 181, 249, 176, 244, 166, 234, 152, 220, 142, 210, 151, 219, 165, 233, 159, 227, 147, 215, 157, 225, 171, 239, 179, 247, 187, 255, 195, 263, 203, 271, 198, 266, 189, 257, 184, 252, 175, 243, 164, 232, 150, 218, 163, 231, 160, 228, 148, 216, 140, 208, 146, 214, 156, 224, 170, 238, 178, 246, 186, 254, 194, 262, 202, 270, 197, 265, 192, 260, 183, 251, 174, 242, 162, 230, 161, 229, 149, 217, 141, 209)
	L = (1, 139)(2, 143)(3, 145)(4, 146)(5, 137)(6, 151)(7, 153)(8, 138)(9, 155)(10, 156)(11, 157)(12, 140)(13, 141)(14, 163)(15, 165)(16, 142)(17, 167)(18, 144)(19, 169)(20, 170)(21, 171)(22, 172)(23, 147)(24, 148)(25, 149)(26, 161)(27, 160)(28, 150)(29, 159)(30, 152)(31, 158)(32, 154)(33, 177)(34, 178)(35, 179)(36, 180)(37, 168)(38, 162)(39, 164)(40, 166)(41, 185)(42, 186)(43, 187)(44, 188)(45, 176)(46, 173)(47, 174)(48, 175)(49, 193)(50, 194)(51, 195)(52, 196)(53, 184)(54, 181)(55, 182)(56, 183)(57, 201)(58, 202)(59, 203)(60, 204)(61, 192)(62, 189)(63, 190)(64, 191)(65, 200)(66, 197)(67, 198)(68, 199)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1637
Graph:: bipartite
	v = 5 e = 136 f = 85
	degree seq :: [ 34^4, 136 ]

E24.1637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 17, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^4, Y2^-1 * Y3^17, 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^-1 * Y1^-1)^68 ]
Map::
	R = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)(137, 205, 138, 206, 142, 210, 140, 208)(139, 207, 143, 211, 149, 217, 146, 214)(141, 209, 144, 212, 150, 218, 147, 215)(145, 213, 151, 219, 157, 225, 154, 222)(148, 216, 152, 220, 158, 226, 155, 223)(153, 221, 159, 227, 165, 233, 162, 230)(156, 224, 160, 228, 166, 234, 163, 231)(161, 229, 167, 235, 173, 241, 170, 238)(164, 232, 168, 236, 174, 242, 171, 239)(169, 237, 175, 243, 181, 249, 178, 246)(172, 240, 176, 244, 182, 250, 179, 247)(177, 245, 183, 251, 189, 257, 186, 254)(180, 248, 184, 252, 190, 258, 187, 255)(185, 253, 191, 259, 197, 265, 194, 262)(188, 256, 192, 260, 198, 266, 195, 263)(193, 261, 199, 267, 203, 271, 201, 269)(196, 264, 200, 268, 204, 272, 202, 270)
	L = (1, 139)(2, 143)(3, 145)(4, 146)(5, 137)(6, 149)(7, 151)(8, 138)(9, 153)(10, 154)(11, 140)(12, 141)(13, 157)(14, 142)(15, 159)(16, 144)(17, 161)(18, 162)(19, 147)(20, 148)(21, 165)(22, 150)(23, 167)(24, 152)(25, 169)(26, 170)(27, 155)(28, 156)(29, 173)(30, 158)(31, 175)(32, 160)(33, 177)(34, 178)(35, 163)(36, 164)(37, 181)(38, 166)(39, 183)(40, 168)(41, 185)(42, 186)(43, 171)(44, 172)(45, 189)(46, 174)(47, 191)(48, 176)(49, 193)(50, 194)(51, 179)(52, 180)(53, 197)(54, 182)(55, 199)(56, 184)(57, 200)(58, 201)(59, 187)(60, 188)(61, 203)(62, 190)(63, 204)(64, 192)(65, 196)(66, 195)(67, 202)(68, 198)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 34, 136 ), ( 34, 136, 34, 136, 34, 136, 34, 136 ) }
Outer automorphisms :: reflexible
Dual of E24.1636
Graph:: simple bipartite
	v = 85 e = 136 f = 5
	degree seq :: [ 2^68, 8^17 ]

E24.1638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 17, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|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, (Y3 * Y2^-1)^4, Y1^-6 * Y3^-1 * Y1^-11, (Y1^-1 * Y3^-1)^17 ]
Map::
	R = (1, 69, 2, 70, 6, 74, 13, 81, 21, 89, 29, 97, 37, 105, 45, 113, 53, 121, 61, 129, 60, 128, 52, 120, 44, 112, 36, 104, 28, 96, 20, 88, 12, 80, 5, 73, 8, 76, 15, 83, 23, 91, 31, 99, 39, 107, 47, 115, 55, 123, 63, 131, 67, 135, 65, 133, 57, 125, 49, 117, 41, 109, 33, 101, 25, 93, 17, 85, 9, 77, 16, 84, 24, 92, 32, 100, 40, 108, 48, 116, 56, 124, 64, 132, 68, 136, 66, 134, 58, 126, 50, 118, 42, 110, 34, 102, 26, 94, 18, 86, 10, 78, 3, 71, 7, 75, 14, 82, 22, 90, 30, 98, 38, 106, 46, 114, 54, 122, 62, 130, 59, 127, 51, 119, 43, 111, 35, 103, 27, 95, 19, 87, 11, 79, 4, 72)(137, 205)(138, 206)(139, 207)(140, 208)(141, 209)(142, 210)(143, 211)(144, 212)(145, 213)(146, 214)(147, 215)(148, 216)(149, 217)(150, 218)(151, 219)(152, 220)(153, 221)(154, 222)(155, 223)(156, 224)(157, 225)(158, 226)(159, 227)(160, 228)(161, 229)(162, 230)(163, 231)(164, 232)(165, 233)(166, 234)(167, 235)(168, 236)(169, 237)(170, 238)(171, 239)(172, 240)(173, 241)(174, 242)(175, 243)(176, 244)(177, 245)(178, 246)(179, 247)(180, 248)(181, 249)(182, 250)(183, 251)(184, 252)(185, 253)(186, 254)(187, 255)(188, 256)(189, 257)(190, 258)(191, 259)(192, 260)(193, 261)(194, 262)(195, 263)(196, 264)(197, 265)(198, 266)(199, 267)(200, 268)(201, 269)(202, 270)(203, 271)(204, 272)
	L = (1, 139)(2, 143)(3, 145)(4, 146)(5, 137)(6, 150)(7, 152)(8, 138)(9, 141)(10, 153)(11, 154)(12, 140)(13, 158)(14, 160)(15, 142)(16, 144)(17, 148)(18, 161)(19, 162)(20, 147)(21, 166)(22, 168)(23, 149)(24, 151)(25, 156)(26, 169)(27, 170)(28, 155)(29, 174)(30, 176)(31, 157)(32, 159)(33, 164)(34, 177)(35, 178)(36, 163)(37, 182)(38, 184)(39, 165)(40, 167)(41, 172)(42, 185)(43, 186)(44, 171)(45, 190)(46, 192)(47, 173)(48, 175)(49, 180)(50, 193)(51, 194)(52, 179)(53, 198)(54, 200)(55, 181)(56, 183)(57, 188)(58, 201)(59, 202)(60, 187)(61, 195)(62, 204)(63, 189)(64, 191)(65, 196)(66, 203)(67, 197)(68, 199)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 8, 34 ), ( 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34, 8, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1635
Graph:: bipartite
	v = 69 e = 136 f = 21
	degree seq :: [ 2^68, 136 ]

E24.1639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 17, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3 * Y2^-17, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 69, 2, 70, 6, 74, 4, 72)(3, 71, 7, 75, 13, 81, 10, 78)(5, 73, 8, 76, 14, 82, 11, 79)(9, 77, 15, 83, 21, 89, 18, 86)(12, 80, 16, 84, 22, 90, 19, 87)(17, 85, 23, 91, 29, 97, 26, 94)(20, 88, 24, 92, 30, 98, 27, 95)(25, 93, 31, 99, 37, 105, 34, 102)(28, 96, 32, 100, 38, 106, 35, 103)(33, 101, 39, 107, 45, 113, 42, 110)(36, 104, 40, 108, 46, 114, 43, 111)(41, 109, 47, 115, 53, 121, 50, 118)(44, 112, 48, 116, 54, 122, 51, 119)(49, 117, 55, 123, 61, 129, 58, 126)(52, 120, 56, 124, 62, 130, 59, 127)(57, 125, 63, 131, 67, 135, 66, 134)(60, 128, 64, 132, 68, 136, 65, 133)(137, 205, 139, 207, 145, 213, 153, 221, 161, 229, 169, 237, 177, 245, 185, 253, 193, 261, 201, 269, 195, 263, 187, 255, 179, 247, 171, 239, 163, 231, 155, 223, 147, 215, 140, 208, 146, 214, 154, 222, 162, 230, 170, 238, 178, 246, 186, 254, 194, 262, 202, 270, 204, 272, 198, 266, 190, 258, 182, 250, 174, 242, 166, 234, 158, 226, 150, 218, 142, 210, 149, 217, 157, 225, 165, 233, 173, 241, 181, 249, 189, 257, 197, 265, 203, 271, 200, 268, 192, 260, 184, 252, 176, 244, 168, 236, 160, 228, 152, 220, 144, 212, 138, 206, 143, 211, 151, 219, 159, 227, 167, 235, 175, 243, 183, 251, 191, 259, 199, 267, 196, 264, 188, 256, 180, 248, 172, 240, 164, 232, 156, 224, 148, 216, 141, 209)
	L = (1, 140)(2, 137)(3, 146)(4, 142)(5, 147)(6, 138)(7, 139)(8, 141)(9, 154)(10, 149)(11, 150)(12, 155)(13, 143)(14, 144)(15, 145)(16, 148)(17, 162)(18, 157)(19, 158)(20, 163)(21, 151)(22, 152)(23, 153)(24, 156)(25, 170)(26, 165)(27, 166)(28, 171)(29, 159)(30, 160)(31, 161)(32, 164)(33, 178)(34, 173)(35, 174)(36, 179)(37, 167)(38, 168)(39, 169)(40, 172)(41, 186)(42, 181)(43, 182)(44, 187)(45, 175)(46, 176)(47, 177)(48, 180)(49, 194)(50, 189)(51, 190)(52, 195)(53, 183)(54, 184)(55, 185)(56, 188)(57, 202)(58, 197)(59, 198)(60, 201)(61, 191)(62, 192)(63, 193)(64, 196)(65, 204)(66, 203)(67, 199)(68, 200)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34 ), ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1640
Graph:: bipartite
	v = 18 e = 136 f = 72
	degree seq :: [ 8^17, 136 ]

E24.1640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 17, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-4 * Y3^-4, Y1^-1 * Y3^16, Y1^5 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-6 * Y1, Y1^17, (Y3 * Y2^-1)^68 ]
Map::
	R = (1, 69, 2, 70, 6, 74, 14, 82, 26, 94, 37, 105, 45, 113, 53, 121, 61, 129, 65, 133, 60, 128, 51, 119, 42, 110, 33, 101, 22, 90, 11, 79, 4, 72)(3, 71, 7, 75, 15, 83, 27, 95, 25, 93, 32, 100, 40, 108, 48, 116, 56, 124, 64, 132, 68, 136, 59, 127, 50, 118, 41, 109, 36, 104, 21, 89, 10, 78)(5, 73, 8, 76, 16, 84, 28, 96, 38, 106, 46, 114, 54, 122, 62, 130, 66, 134, 57, 125, 52, 120, 43, 111, 34, 102, 19, 87, 31, 99, 23, 91, 12, 80)(9, 77, 17, 85, 29, 97, 24, 92, 13, 81, 18, 86, 30, 98, 39, 107, 47, 115, 55, 123, 63, 131, 67, 135, 58, 126, 49, 117, 44, 112, 35, 103, 20, 88)(137, 205)(138, 206)(139, 207)(140, 208)(141, 209)(142, 210)(143, 211)(144, 212)(145, 213)(146, 214)(147, 215)(148, 216)(149, 217)(150, 218)(151, 219)(152, 220)(153, 221)(154, 222)(155, 223)(156, 224)(157, 225)(158, 226)(159, 227)(160, 228)(161, 229)(162, 230)(163, 231)(164, 232)(165, 233)(166, 234)(167, 235)(168, 236)(169, 237)(170, 238)(171, 239)(172, 240)(173, 241)(174, 242)(175, 243)(176, 244)(177, 245)(178, 246)(179, 247)(180, 248)(181, 249)(182, 250)(183, 251)(184, 252)(185, 253)(186, 254)(187, 255)(188, 256)(189, 257)(190, 258)(191, 259)(192, 260)(193, 261)(194, 262)(195, 263)(196, 264)(197, 265)(198, 266)(199, 267)(200, 268)(201, 269)(202, 270)(203, 271)(204, 272)
	L = (1, 139)(2, 143)(3, 145)(4, 146)(5, 137)(6, 151)(7, 153)(8, 138)(9, 155)(10, 156)(11, 157)(12, 140)(13, 141)(14, 163)(15, 165)(16, 142)(17, 167)(18, 144)(19, 169)(20, 170)(21, 171)(22, 172)(23, 147)(24, 148)(25, 149)(26, 161)(27, 160)(28, 150)(29, 159)(30, 152)(31, 158)(32, 154)(33, 177)(34, 178)(35, 179)(36, 180)(37, 168)(38, 162)(39, 164)(40, 166)(41, 185)(42, 186)(43, 187)(44, 188)(45, 176)(46, 173)(47, 174)(48, 175)(49, 193)(50, 194)(51, 195)(52, 196)(53, 184)(54, 181)(55, 182)(56, 183)(57, 201)(58, 202)(59, 203)(60, 204)(61, 192)(62, 189)(63, 190)(64, 191)(65, 200)(66, 197)(67, 198)(68, 199)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 8, 136 ), ( 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136, 8, 136 ) }
Outer automorphisms :: reflexible
Dual of E24.1639
Graph:: simple bipartite
	v = 72 e = 136 f = 18
	degree seq :: [ 2^68, 34^4 ]

E24.1641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 7})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^5, Y2^2 * Y3^-7, Y2^-1 * Y3^-3 * Y2^-1 * Y3^-4 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 71, 2, 72)(3, 73, 9, 79)(4, 74, 10, 80)(5, 75, 7, 77)(6, 76, 8, 78)(11, 81, 24, 94)(12, 82, 25, 95)(13, 83, 23, 93)(14, 84, 26, 96)(15, 85, 21, 91)(16, 86, 19, 89)(17, 87, 20, 90)(18, 88, 22, 92)(27, 97, 44, 114)(28, 98, 43, 113)(29, 99, 45, 115)(30, 100, 42, 112)(31, 101, 46, 116)(32, 102, 40, 110)(33, 103, 38, 108)(34, 104, 37, 107)(35, 105, 39, 109)(36, 106, 41, 111)(47, 117, 64, 134)(48, 118, 63, 133)(49, 119, 65, 135)(50, 120, 62, 132)(51, 121, 66, 136)(52, 122, 60, 130)(53, 123, 58, 128)(54, 124, 57, 127)(55, 125, 59, 129)(56, 126, 61, 131)(67, 137, 70, 140)(68, 138, 69, 139)(141, 211, 143, 213, 151, 221, 156, 226, 145, 215)(142, 212, 147, 217, 159, 229, 164, 234, 149, 219)(144, 214, 152, 222, 167, 237, 173, 243, 155, 225)(146, 216, 153, 223, 168, 238, 174, 244, 157, 227)(148, 218, 160, 230, 177, 247, 183, 253, 163, 233)(150, 220, 161, 231, 178, 248, 184, 254, 165, 235)(154, 224, 169, 239, 187, 257, 193, 263, 172, 242)(158, 228, 170, 240, 188, 258, 194, 264, 175, 245)(162, 232, 179, 249, 197, 267, 203, 273, 182, 252)(166, 236, 180, 250, 198, 268, 204, 274, 185, 255)(171, 241, 189, 259, 207, 277, 196, 266, 192, 262)(176, 246, 190, 260, 191, 261, 208, 278, 195, 265)(181, 251, 199, 269, 209, 279, 206, 276, 202, 272)(186, 256, 200, 270, 201, 271, 210, 280, 205, 275)
	L = (1, 144)(2, 148)(3, 152)(4, 154)(5, 155)(6, 141)(7, 160)(8, 162)(9, 163)(10, 142)(11, 167)(12, 169)(13, 143)(14, 171)(15, 172)(16, 173)(17, 145)(18, 146)(19, 177)(20, 179)(21, 147)(22, 181)(23, 182)(24, 183)(25, 149)(26, 150)(27, 187)(28, 151)(29, 189)(30, 153)(31, 191)(32, 192)(33, 193)(34, 156)(35, 157)(36, 158)(37, 197)(38, 159)(39, 199)(40, 161)(41, 201)(42, 202)(43, 203)(44, 164)(45, 165)(46, 166)(47, 207)(48, 168)(49, 208)(50, 170)(51, 188)(52, 190)(53, 196)(54, 174)(55, 175)(56, 176)(57, 209)(58, 178)(59, 210)(60, 180)(61, 198)(62, 200)(63, 206)(64, 184)(65, 185)(66, 186)(67, 195)(68, 194)(69, 205)(70, 204)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.1642
Graph:: simple bipartite
	v = 49 e = 140 f = 45
	degree seq :: [ 4^35, 10^14 ]

E24.1642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 7})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^5 * Y1^-2, Y1^7, (Y1^-1 * Y3^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 71, 2, 72, 7, 77, 19, 89, 35, 105, 16, 86, 5, 75)(3, 73, 11, 81, 27, 97, 48, 118, 39, 109, 20, 90, 8, 78)(4, 74, 9, 79, 21, 91, 40, 110, 55, 125, 34, 104, 15, 85)(6, 76, 10, 80, 22, 92, 41, 111, 56, 126, 36, 106, 17, 87)(12, 82, 28, 98, 49, 119, 65, 135, 59, 129, 42, 112, 23, 93)(13, 83, 29, 99, 50, 120, 66, 136, 60, 130, 43, 113, 24, 94)(14, 84, 25, 95, 44, 114, 61, 131, 58, 128, 38, 108, 33, 103)(18, 88, 26, 96, 32, 102, 47, 117, 63, 133, 57, 127, 37, 107)(30, 100, 51, 121, 67, 137, 70, 140, 64, 134, 54, 124, 45, 115)(31, 101, 52, 122, 53, 123, 68, 138, 69, 139, 62, 132, 46, 116)(141, 211, 143, 213)(142, 212, 148, 218)(144, 214, 153, 223)(145, 215, 151, 221)(146, 216, 152, 222)(147, 217, 160, 230)(149, 219, 164, 234)(150, 220, 163, 233)(154, 224, 171, 241)(155, 225, 169, 239)(156, 226, 167, 237)(157, 227, 168, 238)(158, 228, 170, 240)(159, 229, 179, 249)(161, 231, 183, 253)(162, 232, 182, 252)(165, 235, 186, 256)(166, 236, 185, 255)(172, 242, 194, 264)(173, 243, 192, 262)(174, 244, 190, 260)(175, 245, 188, 258)(176, 246, 189, 259)(177, 247, 191, 261)(178, 248, 193, 263)(180, 250, 200, 270)(181, 251, 199, 269)(184, 254, 202, 272)(187, 257, 204, 274)(195, 265, 206, 276)(196, 266, 205, 275)(197, 267, 207, 277)(198, 268, 208, 278)(201, 271, 209, 279)(203, 273, 210, 280)
	L = (1, 144)(2, 149)(3, 152)(4, 154)(5, 155)(6, 141)(7, 161)(8, 163)(9, 165)(10, 142)(11, 168)(12, 170)(13, 143)(14, 172)(15, 173)(16, 174)(17, 145)(18, 146)(19, 180)(20, 182)(21, 184)(22, 147)(23, 185)(24, 148)(25, 187)(26, 150)(27, 189)(28, 191)(29, 151)(30, 193)(31, 153)(32, 162)(33, 166)(34, 178)(35, 195)(36, 156)(37, 157)(38, 158)(39, 199)(40, 201)(41, 159)(42, 194)(43, 160)(44, 203)(45, 192)(46, 164)(47, 181)(48, 205)(49, 207)(50, 167)(51, 208)(52, 169)(53, 190)(54, 171)(55, 198)(56, 175)(57, 176)(58, 177)(59, 204)(60, 179)(61, 197)(62, 183)(63, 196)(64, 186)(65, 210)(66, 188)(67, 209)(68, 206)(69, 200)(70, 202)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1641
Graph:: simple bipartite
	v = 45 e = 140 f = 49
	degree seq :: [ 4^35, 14^10 ]

E24.1643 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 10, 10})
Quotient :: edge
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^7, T2^10 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 35, 49, 39, 25, 13, 5)(2, 7, 17, 30, 44, 57, 45, 31, 18, 8)(4, 9, 20, 34, 48, 60, 52, 38, 24, 12)(6, 15, 28, 42, 55, 65, 56, 43, 29, 16)(11, 19, 33, 47, 59, 67, 62, 51, 37, 23)(14, 26, 40, 53, 63, 69, 64, 54, 41, 27)(22, 32, 46, 58, 66, 70, 68, 61, 50, 36)(71, 72, 76, 84, 92, 81, 74)(73, 79, 89, 102, 96, 85, 77)(75, 82, 93, 106, 97, 86, 78)(80, 87, 98, 110, 116, 103, 90)(83, 88, 99, 111, 120, 107, 94)(91, 104, 117, 128, 123, 112, 100)(95, 108, 121, 131, 124, 113, 101)(105, 114, 125, 133, 136, 129, 118)(109, 115, 126, 134, 138, 132, 122)(119, 130, 137, 140, 139, 135, 127)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 20^7 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1644
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 70 f = 7
	degree seq :: [ 7^10, 10^7 ]

E24.1644 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 10, 10})
Quotient :: loop
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^7, T2^10 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 10, 80, 21, 91, 35, 105, 49, 119, 39, 109, 25, 95, 13, 83, 5, 75)(2, 72, 7, 77, 17, 87, 30, 100, 44, 114, 57, 127, 45, 115, 31, 101, 18, 88, 8, 78)(4, 74, 9, 79, 20, 90, 34, 104, 48, 118, 60, 130, 52, 122, 38, 108, 24, 94, 12, 82)(6, 76, 15, 85, 28, 98, 42, 112, 55, 125, 65, 135, 56, 126, 43, 113, 29, 99, 16, 86)(11, 81, 19, 89, 33, 103, 47, 117, 59, 129, 67, 137, 62, 132, 51, 121, 37, 107, 23, 93)(14, 84, 26, 96, 40, 110, 53, 123, 63, 133, 69, 139, 64, 134, 54, 124, 41, 111, 27, 97)(22, 92, 32, 102, 46, 116, 58, 128, 66, 136, 70, 140, 68, 138, 61, 131, 50, 120, 36, 106)
	L = (1, 72)(2, 76)(3, 79)(4, 71)(5, 82)(6, 84)(7, 73)(8, 75)(9, 89)(10, 87)(11, 74)(12, 93)(13, 88)(14, 92)(15, 77)(16, 78)(17, 98)(18, 99)(19, 102)(20, 80)(21, 104)(22, 81)(23, 106)(24, 83)(25, 108)(26, 85)(27, 86)(28, 110)(29, 111)(30, 91)(31, 95)(32, 96)(33, 90)(34, 117)(35, 114)(36, 97)(37, 94)(38, 121)(39, 115)(40, 116)(41, 120)(42, 100)(43, 101)(44, 125)(45, 126)(46, 103)(47, 128)(48, 105)(49, 130)(50, 107)(51, 131)(52, 109)(53, 112)(54, 113)(55, 133)(56, 134)(57, 119)(58, 123)(59, 118)(60, 137)(61, 124)(62, 122)(63, 136)(64, 138)(65, 127)(66, 129)(67, 140)(68, 132)(69, 135)(70, 139)
	local type(s) :: { ( 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1643
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 70 f = 17
	degree seq :: [ 20^7 ]

E24.1645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^7, Y2^10, (Y2^-1 * Y1)^10 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 22, 92, 11, 81, 4, 74)(3, 73, 9, 79, 19, 89, 32, 102, 26, 96, 15, 85, 7, 77)(5, 75, 12, 82, 23, 93, 36, 106, 27, 97, 16, 86, 8, 78)(10, 80, 17, 87, 28, 98, 40, 110, 46, 116, 33, 103, 20, 90)(13, 83, 18, 88, 29, 99, 41, 111, 50, 120, 37, 107, 24, 94)(21, 91, 34, 104, 47, 117, 58, 128, 53, 123, 42, 112, 30, 100)(25, 95, 38, 108, 51, 121, 61, 131, 54, 124, 43, 113, 31, 101)(35, 105, 44, 114, 55, 125, 63, 133, 66, 136, 59, 129, 48, 118)(39, 109, 45, 115, 56, 126, 64, 134, 68, 138, 62, 132, 52, 122)(49, 119, 60, 130, 67, 137, 70, 140, 69, 139, 65, 135, 57, 127)(141, 211, 143, 213, 150, 220, 161, 231, 175, 245, 189, 259, 179, 249, 165, 235, 153, 223, 145, 215)(142, 212, 147, 217, 157, 227, 170, 240, 184, 254, 197, 267, 185, 255, 171, 241, 158, 228, 148, 218)(144, 214, 149, 219, 160, 230, 174, 244, 188, 258, 200, 270, 192, 262, 178, 248, 164, 234, 152, 222)(146, 216, 155, 225, 168, 238, 182, 252, 195, 265, 205, 275, 196, 266, 183, 253, 169, 239, 156, 226)(151, 221, 159, 229, 173, 243, 187, 257, 199, 269, 207, 277, 202, 272, 191, 261, 177, 247, 163, 233)(154, 224, 166, 236, 180, 250, 193, 263, 203, 273, 209, 279, 204, 274, 194, 264, 181, 251, 167, 237)(162, 232, 172, 242, 186, 256, 198, 268, 206, 276, 210, 280, 208, 278, 201, 271, 190, 260, 176, 246)
	L = (1, 144)(2, 141)(3, 147)(4, 151)(5, 148)(6, 142)(7, 155)(8, 156)(9, 143)(10, 160)(11, 162)(12, 145)(13, 164)(14, 146)(15, 166)(16, 167)(17, 150)(18, 153)(19, 149)(20, 173)(21, 170)(22, 154)(23, 152)(24, 177)(25, 171)(26, 172)(27, 176)(28, 157)(29, 158)(30, 182)(31, 183)(32, 159)(33, 186)(34, 161)(35, 188)(36, 163)(37, 190)(38, 165)(39, 192)(40, 168)(41, 169)(42, 193)(43, 194)(44, 175)(45, 179)(46, 180)(47, 174)(48, 199)(49, 197)(50, 181)(51, 178)(52, 202)(53, 198)(54, 201)(55, 184)(56, 185)(57, 205)(58, 187)(59, 206)(60, 189)(61, 191)(62, 208)(63, 195)(64, 196)(65, 209)(66, 203)(67, 200)(68, 204)(69, 210)(70, 207)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.1646
Graph:: bipartite
	v = 17 e = 140 f = 77
	degree seq :: [ 14^10, 20^7 ]

E24.1646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^10, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 26, 96, 40, 110, 39, 109, 24, 94, 12, 82, 4, 74)(3, 73, 8, 78, 15, 85, 28, 98, 41, 111, 54, 124, 49, 119, 35, 105, 21, 91, 10, 80)(5, 75, 7, 77, 16, 86, 27, 97, 42, 112, 53, 123, 52, 122, 38, 108, 23, 93, 11, 81)(9, 79, 18, 88, 29, 99, 44, 114, 55, 125, 64, 134, 60, 130, 48, 118, 34, 104, 20, 90)(13, 83, 17, 87, 30, 100, 43, 113, 56, 126, 63, 133, 62, 132, 51, 121, 37, 107, 22, 92)(19, 89, 32, 102, 45, 115, 58, 128, 65, 135, 70, 140, 67, 137, 59, 129, 47, 117, 33, 103)(25, 95, 31, 101, 46, 116, 57, 127, 66, 136, 69, 139, 68, 138, 61, 131, 50, 120, 36, 106)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 147)(3, 149)(4, 151)(5, 141)(6, 155)(7, 157)(8, 142)(9, 159)(10, 144)(11, 162)(12, 161)(13, 145)(14, 167)(15, 169)(16, 146)(17, 171)(18, 148)(19, 165)(20, 150)(21, 174)(22, 176)(23, 152)(24, 178)(25, 153)(26, 181)(27, 183)(28, 154)(29, 185)(30, 156)(31, 172)(32, 158)(33, 160)(34, 187)(35, 164)(36, 173)(37, 163)(38, 191)(39, 189)(40, 193)(41, 195)(42, 166)(43, 197)(44, 168)(45, 186)(46, 170)(47, 190)(48, 175)(49, 200)(50, 177)(51, 201)(52, 179)(53, 203)(54, 180)(55, 205)(56, 182)(57, 198)(58, 184)(59, 188)(60, 207)(61, 199)(62, 192)(63, 209)(64, 194)(65, 206)(66, 196)(67, 208)(68, 202)(69, 210)(70, 204)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 14, 20 ), ( 14, 20, 14, 20, 14, 20, 14, 20, 14, 20, 14, 20, 14, 20, 14, 20, 14, 20, 14, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.1645
Graph:: simple bipartite
	v = 77 e = 140 f = 17
	degree seq :: [ 2^70, 20^7 ]

E24.1647 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 14, 14})
Quotient :: edge
Aut^+ = C7 x D10 (small group id <70, 1>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^5, T2^14 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 30, 40, 50, 60, 53, 43, 33, 23, 13, 5)(2, 7, 16, 26, 36, 46, 56, 65, 57, 47, 37, 27, 17, 8)(4, 9, 19, 29, 39, 49, 59, 67, 62, 52, 42, 32, 22, 12)(6, 14, 24, 34, 44, 54, 63, 69, 64, 55, 45, 35, 25, 15)(11, 18, 28, 38, 48, 58, 66, 70, 68, 61, 51, 41, 31, 21)(71, 72, 76, 81, 74)(73, 79, 88, 84, 77)(75, 82, 91, 85, 78)(80, 86, 94, 98, 89)(83, 87, 95, 101, 92)(90, 99, 108, 104, 96)(93, 102, 111, 105, 97)(100, 106, 114, 118, 109)(103, 107, 115, 121, 112)(110, 119, 128, 124, 116)(113, 122, 131, 125, 117)(120, 126, 133, 136, 129)(123, 127, 134, 138, 132)(130, 137, 140, 139, 135)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 28^5 ), ( 28^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1648
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 70 f = 5
	degree seq :: [ 5^14, 14^5 ]

E24.1648 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 14, 14})
Quotient :: loop
Aut^+ = C7 x D10 (small group id <70, 1>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^5, T2^14 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 10, 80, 20, 90, 30, 100, 40, 110, 50, 120, 60, 130, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 5, 75)(2, 72, 7, 77, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 65, 135, 57, 127, 47, 117, 37, 107, 27, 97, 17, 87, 8, 78)(4, 74, 9, 79, 19, 89, 29, 99, 39, 109, 49, 119, 59, 129, 67, 137, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82)(6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 63, 133, 69, 139, 64, 134, 55, 125, 45, 115, 35, 105, 25, 95, 15, 85)(11, 81, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 66, 136, 70, 140, 68, 138, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91)
	L = (1, 72)(2, 76)(3, 79)(4, 71)(5, 82)(6, 81)(7, 73)(8, 75)(9, 88)(10, 86)(11, 74)(12, 91)(13, 87)(14, 77)(15, 78)(16, 94)(17, 95)(18, 84)(19, 80)(20, 99)(21, 85)(22, 83)(23, 102)(24, 98)(25, 101)(26, 90)(27, 93)(28, 89)(29, 108)(30, 106)(31, 92)(32, 111)(33, 107)(34, 96)(35, 97)(36, 114)(37, 115)(38, 104)(39, 100)(40, 119)(41, 105)(42, 103)(43, 122)(44, 118)(45, 121)(46, 110)(47, 113)(48, 109)(49, 128)(50, 126)(51, 112)(52, 131)(53, 127)(54, 116)(55, 117)(56, 133)(57, 134)(58, 124)(59, 120)(60, 137)(61, 125)(62, 123)(63, 136)(64, 138)(65, 130)(66, 129)(67, 140)(68, 132)(69, 135)(70, 139)
	local type(s) :: { ( 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.1647
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 70 f = 19
	degree seq :: [ 28^5 ]

E24.1649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 14})
Quotient :: dipole
Aut^+ = C7 x D10 (small group id <70, 1>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, Y1^5, (R * Y2 * Y3^-1)^2, Y2^14, (Y2^-1 * Y1)^14 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 11, 81, 4, 74)(3, 73, 9, 79, 18, 88, 14, 84, 7, 77)(5, 75, 12, 82, 21, 91, 15, 85, 8, 78)(10, 80, 16, 86, 24, 94, 28, 98, 19, 89)(13, 83, 17, 87, 25, 95, 31, 101, 22, 92)(20, 90, 29, 99, 38, 108, 34, 104, 26, 96)(23, 93, 32, 102, 41, 111, 35, 105, 27, 97)(30, 100, 36, 106, 44, 114, 48, 118, 39, 109)(33, 103, 37, 107, 45, 115, 51, 121, 42, 112)(40, 110, 49, 119, 58, 128, 54, 124, 46, 116)(43, 113, 52, 122, 61, 131, 55, 125, 47, 117)(50, 120, 56, 126, 63, 133, 66, 136, 59, 129)(53, 123, 57, 127, 64, 134, 68, 138, 62, 132)(60, 130, 67, 137, 70, 140, 69, 139, 65, 135)(141, 211, 143, 213, 150, 220, 160, 230, 170, 240, 180, 250, 190, 260, 200, 270, 193, 263, 183, 253, 173, 243, 163, 233, 153, 223, 145, 215)(142, 212, 147, 217, 156, 226, 166, 236, 176, 246, 186, 256, 196, 266, 205, 275, 197, 267, 187, 257, 177, 247, 167, 237, 157, 227, 148, 218)(144, 214, 149, 219, 159, 229, 169, 239, 179, 249, 189, 259, 199, 269, 207, 277, 202, 272, 192, 262, 182, 252, 172, 242, 162, 232, 152, 222)(146, 216, 154, 224, 164, 234, 174, 244, 184, 254, 194, 264, 203, 273, 209, 279, 204, 274, 195, 265, 185, 255, 175, 245, 165, 235, 155, 225)(151, 221, 158, 228, 168, 238, 178, 248, 188, 258, 198, 268, 206, 276, 210, 280, 208, 278, 201, 271, 191, 261, 181, 251, 171, 241, 161, 231)
	L = (1, 144)(2, 141)(3, 147)(4, 151)(5, 148)(6, 142)(7, 154)(8, 155)(9, 143)(10, 159)(11, 146)(12, 145)(13, 162)(14, 158)(15, 161)(16, 150)(17, 153)(18, 149)(19, 168)(20, 166)(21, 152)(22, 171)(23, 167)(24, 156)(25, 157)(26, 174)(27, 175)(28, 164)(29, 160)(30, 179)(31, 165)(32, 163)(33, 182)(34, 178)(35, 181)(36, 170)(37, 173)(38, 169)(39, 188)(40, 186)(41, 172)(42, 191)(43, 187)(44, 176)(45, 177)(46, 194)(47, 195)(48, 184)(49, 180)(50, 199)(51, 185)(52, 183)(53, 202)(54, 198)(55, 201)(56, 190)(57, 193)(58, 189)(59, 206)(60, 205)(61, 192)(62, 208)(63, 196)(64, 197)(65, 209)(66, 203)(67, 200)(68, 204)(69, 210)(70, 207)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1650
Graph:: bipartite
	v = 19 e = 140 f = 75
	degree seq :: [ 10^14, 28^5 ]

E24.1650 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 14})
Quotient :: dipole
Aut^+ = C7 x D10 (small group id <70, 1>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^14 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 53, 123, 43, 113, 33, 103, 23, 93, 12, 82, 4, 74)(3, 73, 8, 78, 15, 85, 26, 96, 35, 105, 46, 116, 55, 125, 64, 134, 60, 130, 50, 120, 40, 110, 30, 100, 20, 90, 10, 80)(5, 75, 7, 77, 16, 86, 25, 95, 36, 106, 45, 115, 56, 126, 63, 133, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 11, 81)(9, 79, 18, 88, 27, 97, 38, 108, 47, 117, 58, 128, 65, 135, 70, 140, 67, 137, 59, 129, 49, 119, 39, 109, 29, 99, 19, 89)(13, 83, 17, 87, 28, 98, 37, 107, 48, 118, 57, 127, 66, 136, 69, 139, 68, 138, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 147)(3, 149)(4, 151)(5, 141)(6, 155)(7, 157)(8, 142)(9, 153)(10, 144)(11, 161)(12, 160)(13, 145)(14, 165)(15, 167)(16, 146)(17, 158)(18, 148)(19, 150)(20, 169)(21, 159)(22, 152)(23, 172)(24, 175)(25, 177)(26, 154)(27, 168)(28, 156)(29, 171)(30, 163)(31, 162)(32, 181)(33, 180)(34, 185)(35, 187)(36, 164)(37, 178)(38, 166)(39, 170)(40, 189)(41, 179)(42, 173)(43, 192)(44, 195)(45, 197)(46, 174)(47, 188)(48, 176)(49, 191)(50, 183)(51, 182)(52, 201)(53, 200)(54, 203)(55, 205)(56, 184)(57, 198)(58, 186)(59, 190)(60, 207)(61, 199)(62, 193)(63, 209)(64, 194)(65, 206)(66, 196)(67, 208)(68, 202)(69, 210)(70, 204)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 10, 28 ), ( 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1649
Graph:: simple bipartite
	v = 75 e = 140 f = 19
	degree seq :: [ 2^70, 28^5 ]

E24.1651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y3 * Y2)^4, (Y3 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 16, 88)(10, 82, 19, 91)(12, 84, 21, 93)(14, 86, 24, 96)(15, 87, 20, 92)(17, 89, 26, 98)(18, 90, 27, 99)(22, 94, 30, 102)(23, 95, 31, 103)(25, 97, 33, 105)(28, 100, 36, 108)(29, 101, 37, 109)(32, 104, 40, 112)(34, 106, 42, 114)(35, 107, 43, 115)(38, 110, 46, 118)(39, 111, 47, 119)(41, 113, 49, 121)(44, 116, 52, 124)(45, 117, 53, 125)(48, 120, 56, 128)(50, 122, 58, 130)(51, 123, 59, 131)(54, 126, 62, 134)(55, 127, 63, 135)(57, 129, 65, 137)(60, 132, 67, 139)(61, 133, 68, 140)(64, 136, 70, 142)(66, 138, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 154, 226)(150, 222, 158, 230)(151, 223, 159, 231)(152, 224, 161, 233)(153, 225, 160, 232)(155, 227, 164, 236)(156, 228, 166, 238)(157, 229, 165, 237)(162, 234, 172, 244)(163, 235, 170, 242)(167, 239, 176, 248)(168, 240, 174, 246)(169, 241, 178, 250)(171, 243, 177, 249)(173, 245, 182, 254)(175, 247, 181, 253)(179, 251, 188, 260)(180, 252, 186, 258)(183, 255, 192, 264)(184, 256, 190, 262)(185, 257, 194, 266)(187, 259, 193, 265)(189, 261, 198, 270)(191, 263, 197, 269)(195, 267, 204, 276)(196, 268, 202, 274)(199, 271, 208, 280)(200, 272, 206, 278)(201, 273, 210, 282)(203, 275, 209, 281)(205, 277, 213, 285)(207, 279, 212, 284)(211, 283, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 156)(6, 146)(7, 158)(8, 147)(9, 162)(10, 155)(11, 154)(12, 149)(13, 167)(14, 151)(15, 166)(16, 169)(17, 164)(18, 153)(19, 172)(20, 161)(21, 173)(22, 159)(23, 157)(24, 176)(25, 160)(26, 178)(27, 179)(28, 163)(29, 165)(30, 182)(31, 183)(32, 168)(33, 185)(34, 170)(35, 171)(36, 188)(37, 189)(38, 174)(39, 175)(40, 192)(41, 177)(42, 194)(43, 195)(44, 180)(45, 181)(46, 198)(47, 199)(48, 184)(49, 201)(50, 186)(51, 187)(52, 204)(53, 205)(54, 190)(55, 191)(56, 208)(57, 193)(58, 210)(59, 207)(60, 196)(61, 197)(62, 213)(63, 203)(64, 200)(65, 214)(66, 202)(67, 212)(68, 211)(69, 206)(70, 209)(71, 216)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1656
Graph:: simple bipartite
	v = 72 e = 144 f = 26
	degree seq :: [ 4^72 ]

E24.1652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^4, Y3^9 * 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 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 18, 90)(12, 84, 23, 95)(13, 85, 22, 94)(14, 86, 24, 96)(15, 87, 20, 92)(16, 88, 19, 91)(17, 89, 21, 93)(25, 97, 34, 106)(26, 98, 33, 105)(27, 99, 39, 111)(28, 100, 38, 110)(29, 101, 40, 112)(30, 102, 36, 108)(31, 103, 35, 107)(32, 104, 37, 109)(41, 113, 50, 122)(42, 114, 49, 121)(43, 115, 55, 127)(44, 116, 54, 126)(45, 117, 56, 128)(46, 118, 52, 124)(47, 119, 51, 123)(48, 120, 53, 125)(57, 129, 64, 136)(58, 130, 63, 135)(59, 131, 68, 140)(60, 132, 67, 139)(61, 133, 66, 138)(62, 134, 65, 137)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 162, 234, 153, 225)(148, 220, 156, 228, 169, 241, 159, 231)(150, 222, 157, 229, 170, 242, 160, 232)(152, 224, 163, 235, 177, 249, 166, 238)(154, 226, 164, 236, 178, 250, 167, 239)(158, 230, 171, 243, 185, 257, 174, 246)(161, 233, 172, 244, 186, 258, 175, 247)(165, 237, 179, 251, 193, 265, 182, 254)(168, 240, 180, 252, 194, 266, 183, 255)(173, 245, 187, 259, 201, 273, 190, 262)(176, 248, 188, 260, 202, 274, 191, 263)(181, 253, 195, 267, 207, 279, 198, 270)(184, 256, 196, 268, 208, 280, 199, 271)(189, 261, 203, 275, 213, 285, 205, 277)(192, 264, 204, 276, 214, 286, 206, 278)(197, 269, 209, 281, 215, 287, 211, 283)(200, 272, 210, 282, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 163)(8, 165)(9, 166)(10, 146)(11, 169)(12, 171)(13, 147)(14, 173)(15, 174)(16, 149)(17, 150)(18, 177)(19, 179)(20, 151)(21, 181)(22, 182)(23, 153)(24, 154)(25, 185)(26, 155)(27, 187)(28, 157)(29, 189)(30, 190)(31, 160)(32, 161)(33, 193)(34, 162)(35, 195)(36, 164)(37, 197)(38, 198)(39, 167)(40, 168)(41, 201)(42, 170)(43, 203)(44, 172)(45, 204)(46, 205)(47, 175)(48, 176)(49, 207)(50, 178)(51, 209)(52, 180)(53, 210)(54, 211)(55, 183)(56, 184)(57, 213)(58, 186)(59, 214)(60, 188)(61, 192)(62, 191)(63, 215)(64, 194)(65, 216)(66, 196)(67, 200)(68, 199)(69, 206)(70, 202)(71, 212)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1654
Graph:: simple bipartite
	v = 54 e = 144 f = 44
	degree seq :: [ 4^36, 8^18 ]

E24.1653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y3^4, Y2^4, (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^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 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 16, 88)(12, 84, 17, 89)(13, 85, 18, 90)(14, 86, 19, 91)(15, 87, 20, 92)(21, 93, 26, 98)(22, 94, 25, 97)(23, 95, 28, 100)(24, 96, 27, 99)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 35, 107)(32, 104, 36, 108)(37, 109, 42, 114)(38, 110, 41, 113)(39, 111, 44, 116)(40, 112, 43, 115)(45, 117, 49, 121)(46, 118, 50, 122)(47, 119, 51, 123)(48, 120, 52, 124)(53, 125, 58, 130)(54, 126, 57, 129)(55, 127, 60, 132)(56, 128, 59, 131)(61, 133, 65, 137)(62, 134, 66, 138)(63, 135, 67, 139)(64, 136, 68, 140)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 160, 232, 153, 225)(148, 220, 158, 230, 150, 222, 159, 231)(152, 224, 163, 235, 154, 226, 164, 236)(156, 228, 165, 237, 157, 229, 166, 238)(161, 233, 169, 241, 162, 234, 170, 242)(167, 239, 175, 247, 168, 240, 176, 248)(171, 243, 179, 251, 172, 244, 180, 252)(173, 245, 181, 253, 174, 246, 182, 254)(177, 249, 185, 257, 178, 250, 186, 258)(183, 255, 191, 263, 184, 256, 192, 264)(187, 259, 195, 267, 188, 260, 196, 268)(189, 261, 197, 269, 190, 262, 198, 270)(193, 265, 201, 273, 194, 266, 202, 274)(199, 271, 207, 279, 200, 272, 208, 280)(203, 275, 211, 283, 204, 276, 212, 284)(205, 277, 213, 285, 206, 278, 214, 286)(209, 281, 215, 287, 210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 155)(5, 157)(6, 145)(7, 161)(8, 160)(9, 162)(10, 146)(11, 150)(12, 149)(13, 147)(14, 167)(15, 168)(16, 154)(17, 153)(18, 151)(19, 171)(20, 172)(21, 173)(22, 174)(23, 159)(24, 158)(25, 177)(26, 178)(27, 164)(28, 163)(29, 166)(30, 165)(31, 183)(32, 184)(33, 170)(34, 169)(35, 187)(36, 188)(37, 189)(38, 190)(39, 176)(40, 175)(41, 193)(42, 194)(43, 180)(44, 179)(45, 182)(46, 181)(47, 199)(48, 200)(49, 186)(50, 185)(51, 203)(52, 204)(53, 205)(54, 206)(55, 192)(56, 191)(57, 209)(58, 210)(59, 196)(60, 195)(61, 198)(62, 197)(63, 213)(64, 214)(65, 202)(66, 201)(67, 215)(68, 216)(69, 208)(70, 207)(71, 212)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1655
Graph:: simple bipartite
	v = 54 e = 144 f = 44
	degree seq :: [ 4^36, 8^18 ]

E24.1654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-4, Y1^-1 * Y3^8, Y1^3 * Y3^-1 * Y1^2 * Y3^-3, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 39, 111, 58, 130, 35, 107, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 51, 123, 69, 141, 62, 134, 40, 112, 20, 92, 8, 80)(4, 76, 9, 81, 21, 93, 41, 113, 38, 110, 50, 122, 61, 133, 34, 106, 15, 87)(6, 78, 10, 82, 22, 94, 42, 114, 59, 131, 32, 104, 49, 121, 36, 108, 17, 89)(12, 84, 28, 100, 52, 124, 68, 140, 57, 129, 72, 144, 63, 135, 43, 115, 23, 95)(13, 85, 29, 101, 53, 125, 70, 142, 67, 139, 56, 128, 64, 136, 44, 116, 24, 96)(14, 86, 25, 97, 45, 117, 37, 109, 18, 90, 26, 98, 46, 118, 60, 132, 33, 105)(30, 102, 54, 126, 66, 138, 48, 120, 31, 103, 55, 127, 71, 143, 65, 137, 47, 119)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 168, 240)(154, 226, 167, 239)(158, 230, 175, 247)(159, 231, 173, 245)(160, 232, 171, 243)(161, 233, 172, 244)(162, 234, 174, 246)(163, 235, 184, 256)(165, 237, 188, 260)(166, 238, 187, 259)(169, 241, 192, 264)(170, 242, 191, 263)(176, 248, 201, 273)(177, 249, 199, 271)(178, 250, 197, 269)(179, 251, 195, 267)(180, 252, 196, 268)(181, 253, 198, 270)(182, 254, 200, 272)(183, 255, 206, 278)(185, 257, 208, 280)(186, 258, 207, 279)(189, 261, 210, 282)(190, 262, 209, 281)(193, 265, 212, 284)(194, 266, 211, 283)(202, 274, 213, 285)(203, 275, 216, 288)(204, 276, 215, 287)(205, 277, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 159)(6, 145)(7, 165)(8, 167)(9, 169)(10, 146)(11, 172)(12, 174)(13, 147)(14, 176)(15, 177)(16, 178)(17, 149)(18, 150)(19, 185)(20, 187)(21, 189)(22, 151)(23, 191)(24, 152)(25, 193)(26, 154)(27, 196)(28, 198)(29, 155)(30, 200)(31, 157)(32, 202)(33, 203)(34, 204)(35, 205)(36, 160)(37, 161)(38, 162)(39, 182)(40, 207)(41, 181)(42, 163)(43, 209)(44, 164)(45, 180)(46, 166)(47, 211)(48, 168)(49, 179)(50, 170)(51, 212)(52, 210)(53, 171)(54, 208)(55, 173)(56, 206)(57, 175)(58, 194)(59, 183)(60, 186)(61, 190)(62, 216)(63, 215)(64, 184)(65, 214)(66, 188)(67, 213)(68, 192)(69, 201)(70, 195)(71, 197)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.1652
Graph:: simple bipartite
	v = 44 e = 144 f = 54
	degree seq :: [ 4^36, 18^8 ]

E24.1655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 18, 90, 33, 105, 47, 119, 31, 103, 16, 88, 5, 77)(3, 75, 11, 83, 25, 97, 41, 113, 56, 128, 49, 121, 34, 106, 19, 91, 8, 80)(4, 76, 14, 86, 29, 101, 45, 117, 60, 132, 50, 122, 35, 107, 20, 92, 9, 81)(6, 78, 17, 89, 32, 104, 48, 120, 62, 134, 51, 123, 36, 108, 21, 93, 10, 82)(12, 84, 22, 94, 37, 109, 52, 124, 63, 135, 67, 139, 57, 129, 42, 114, 26, 98)(13, 85, 23, 95, 38, 110, 53, 125, 64, 136, 68, 140, 58, 130, 43, 115, 27, 99)(15, 87, 24, 96, 39, 111, 54, 126, 65, 137, 70, 142, 61, 133, 46, 118, 30, 102)(28, 100, 44, 116, 59, 131, 69, 141, 72, 144, 71, 143, 66, 138, 55, 127, 40, 112)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 163, 235)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 171, 243)(159, 231, 172, 244)(160, 232, 169, 241)(161, 233, 170, 242)(162, 234, 178, 250)(164, 236, 182, 254)(165, 237, 181, 253)(168, 240, 184, 256)(173, 245, 187, 259)(174, 246, 188, 260)(175, 247, 185, 257)(176, 248, 186, 258)(177, 249, 193, 265)(179, 251, 197, 269)(180, 252, 196, 268)(183, 255, 199, 271)(189, 261, 202, 274)(190, 262, 203, 275)(191, 263, 200, 272)(192, 264, 201, 273)(194, 266, 208, 280)(195, 267, 207, 279)(198, 270, 210, 282)(204, 276, 212, 284)(205, 277, 213, 285)(206, 278, 211, 283)(209, 281, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 158)(6, 145)(7, 164)(8, 166)(9, 168)(10, 146)(11, 170)(12, 172)(13, 147)(14, 174)(15, 150)(16, 173)(17, 149)(18, 179)(19, 181)(20, 183)(21, 151)(22, 184)(23, 152)(24, 154)(25, 186)(26, 188)(27, 155)(28, 157)(29, 190)(30, 161)(31, 189)(32, 160)(33, 194)(34, 196)(35, 198)(36, 162)(37, 199)(38, 163)(39, 165)(40, 167)(41, 201)(42, 203)(43, 169)(44, 171)(45, 205)(46, 176)(47, 204)(48, 175)(49, 207)(50, 209)(51, 177)(52, 210)(53, 178)(54, 180)(55, 182)(56, 211)(57, 213)(58, 185)(59, 187)(60, 214)(61, 192)(62, 191)(63, 215)(64, 193)(65, 195)(66, 197)(67, 216)(68, 200)(69, 202)(70, 206)(71, 208)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.1653
Graph:: simple bipartite
	v = 44 e = 144 f = 54
	degree seq :: [ 4^36, 18^8 ]

E24.1656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, (Y1^-1 * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, Y1^4, Y2^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 10, 82, 18, 90, 13, 85)(4, 76, 14, 86, 19, 91, 9, 81)(6, 78, 8, 80, 20, 92, 16, 88)(11, 83, 24, 96, 33, 105, 27, 99)(12, 84, 28, 100, 34, 106, 23, 95)(15, 87, 29, 101, 35, 107, 22, 94)(17, 89, 21, 93, 36, 108, 31, 103)(25, 97, 40, 112, 49, 121, 43, 115)(26, 98, 44, 116, 50, 122, 39, 111)(30, 102, 45, 117, 51, 123, 38, 110)(32, 104, 37, 109, 52, 124, 47, 119)(41, 113, 56, 128, 63, 135, 58, 130)(42, 114, 59, 131, 64, 136, 55, 127)(46, 118, 60, 132, 65, 137, 54, 126)(48, 120, 53, 125, 66, 138, 62, 134)(57, 129, 69, 141, 71, 143, 68, 140)(61, 133, 70, 142, 72, 144, 67, 139)(145, 217, 147, 219, 155, 227, 169, 241, 185, 257, 192, 264, 176, 248, 161, 233, 150, 222)(146, 218, 152, 224, 165, 237, 181, 253, 197, 269, 200, 272, 184, 256, 168, 240, 154, 226)(148, 220, 159, 231, 174, 246, 190, 262, 205, 277, 201, 273, 186, 258, 170, 242, 156, 228)(149, 221, 160, 232, 175, 247, 191, 263, 206, 278, 202, 274, 187, 259, 171, 243, 157, 229)(151, 223, 162, 234, 177, 249, 193, 265, 207, 279, 210, 282, 196, 268, 180, 252, 164, 236)(153, 225, 167, 239, 183, 255, 199, 271, 212, 284, 211, 283, 198, 270, 182, 254, 166, 238)(158, 230, 172, 244, 188, 260, 203, 275, 213, 285, 214, 286, 204, 276, 189, 261, 173, 245)(163, 235, 179, 251, 195, 267, 209, 281, 216, 288, 215, 287, 208, 280, 194, 266, 178, 250)
	L = (1, 148)(2, 153)(3, 156)(4, 145)(5, 158)(6, 159)(7, 163)(8, 166)(9, 146)(10, 167)(11, 170)(12, 147)(13, 172)(14, 149)(15, 150)(16, 173)(17, 174)(18, 178)(19, 151)(20, 179)(21, 182)(22, 152)(23, 154)(24, 183)(25, 186)(26, 155)(27, 188)(28, 157)(29, 160)(30, 161)(31, 189)(32, 190)(33, 194)(34, 162)(35, 164)(36, 195)(37, 198)(38, 165)(39, 168)(40, 199)(41, 201)(42, 169)(43, 203)(44, 171)(45, 175)(46, 176)(47, 204)(48, 205)(49, 208)(50, 177)(51, 180)(52, 209)(53, 211)(54, 181)(55, 184)(56, 212)(57, 185)(58, 213)(59, 187)(60, 191)(61, 192)(62, 214)(63, 215)(64, 193)(65, 196)(66, 216)(67, 197)(68, 200)(69, 202)(70, 206)(71, 207)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1651
Graph:: simple bipartite
	v = 26 e = 144 f = 72
	degree seq :: [ 8^18, 18^8 ]

E24.1657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (Y1 * Y3)^2, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 24, 96)(12, 84, 19, 91)(13, 85, 22, 94)(14, 86, 23, 95)(15, 87, 20, 92)(16, 88, 21, 93)(25, 97, 33, 105)(26, 98, 36, 108)(27, 99, 34, 106)(28, 100, 35, 107)(29, 101, 37, 109)(30, 102, 40, 112)(31, 103, 38, 110)(32, 104, 39, 111)(41, 113, 49, 121)(42, 114, 52, 124)(43, 115, 50, 122)(44, 116, 51, 123)(45, 117, 53, 125)(46, 118, 56, 128)(47, 119, 54, 126)(48, 120, 55, 127)(57, 129, 65, 137)(58, 130, 68, 140)(59, 131, 66, 138)(60, 132, 67, 139)(61, 133, 69, 141)(62, 134, 72, 144)(63, 135, 70, 142)(64, 136, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 163, 235, 153, 225)(148, 220, 159, 231, 150, 222, 160, 232)(152, 224, 166, 238, 154, 226, 167, 239)(155, 227, 169, 241, 161, 233, 170, 242)(157, 229, 171, 243, 158, 230, 172, 244)(162, 234, 173, 245, 168, 240, 174, 246)(164, 236, 175, 247, 165, 237, 176, 248)(177, 249, 185, 257, 180, 252, 186, 258)(178, 250, 187, 259, 179, 251, 188, 260)(181, 253, 189, 261, 184, 256, 190, 262)(182, 254, 191, 263, 183, 255, 192, 264)(193, 265, 201, 273, 196, 268, 202, 274)(194, 266, 203, 275, 195, 267, 204, 276)(197, 269, 205, 277, 200, 272, 206, 278)(198, 270, 207, 279, 199, 271, 208, 280)(209, 281, 214, 286, 212, 284, 215, 287)(210, 282, 216, 288, 211, 283, 213, 285)
	L = (1, 148)(2, 152)(3, 157)(4, 156)(5, 158)(6, 145)(7, 164)(8, 163)(9, 165)(10, 146)(11, 167)(12, 150)(13, 149)(14, 147)(15, 162)(16, 168)(17, 166)(18, 160)(19, 154)(20, 153)(21, 151)(22, 155)(23, 161)(24, 159)(25, 178)(26, 179)(27, 177)(28, 180)(29, 182)(30, 183)(31, 181)(32, 184)(33, 172)(34, 170)(35, 169)(36, 171)(37, 176)(38, 174)(39, 173)(40, 175)(41, 194)(42, 195)(43, 193)(44, 196)(45, 198)(46, 199)(47, 197)(48, 200)(49, 188)(50, 186)(51, 185)(52, 187)(53, 192)(54, 190)(55, 189)(56, 191)(57, 210)(58, 211)(59, 209)(60, 212)(61, 214)(62, 215)(63, 213)(64, 216)(65, 204)(66, 202)(67, 201)(68, 203)(69, 208)(70, 206)(71, 205)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1658
Graph:: simple bipartite
	v = 54 e = 144 f = 44
	degree seq :: [ 4^36, 8^18 ]

E24.1658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 18, 90, 33, 105, 47, 119, 31, 103, 16, 88, 5, 77)(3, 75, 8, 80, 19, 91, 34, 106, 49, 121, 58, 130, 43, 115, 27, 99, 12, 84)(4, 76, 14, 86, 29, 101, 45, 117, 60, 132, 50, 122, 35, 107, 20, 92, 9, 81)(6, 78, 17, 89, 32, 104, 48, 120, 62, 134, 51, 123, 36, 108, 21, 93, 10, 82)(11, 83, 25, 97, 41, 113, 56, 128, 67, 139, 63, 135, 52, 124, 37, 109, 22, 94)(13, 85, 28, 100, 44, 116, 59, 131, 69, 141, 64, 136, 53, 125, 38, 110, 23, 95)(15, 87, 24, 96, 39, 111, 54, 126, 65, 137, 70, 142, 61, 133, 46, 118, 30, 102)(26, 98, 40, 112, 55, 127, 66, 138, 71, 143, 72, 144, 68, 140, 57, 129, 42, 114)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 156, 228)(150, 222, 155, 227)(151, 223, 163, 235)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 172, 244)(159, 231, 170, 242)(160, 232, 171, 243)(161, 233, 169, 241)(162, 234, 178, 250)(164, 236, 182, 254)(165, 237, 181, 253)(168, 240, 184, 256)(173, 245, 188, 260)(174, 246, 186, 258)(175, 247, 187, 259)(176, 248, 185, 257)(177, 249, 193, 265)(179, 251, 197, 269)(180, 252, 196, 268)(183, 255, 199, 271)(189, 261, 203, 275)(190, 262, 201, 273)(191, 263, 202, 274)(192, 264, 200, 272)(194, 266, 208, 280)(195, 267, 207, 279)(198, 270, 210, 282)(204, 276, 213, 285)(205, 277, 212, 284)(206, 278, 211, 283)(209, 281, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 153)(3, 155)(4, 159)(5, 158)(6, 145)(7, 164)(8, 166)(9, 168)(10, 146)(11, 170)(12, 169)(13, 147)(14, 174)(15, 150)(16, 173)(17, 149)(18, 179)(19, 181)(20, 183)(21, 151)(22, 184)(23, 152)(24, 154)(25, 186)(26, 157)(27, 185)(28, 156)(29, 190)(30, 161)(31, 189)(32, 160)(33, 194)(34, 196)(35, 198)(36, 162)(37, 199)(38, 163)(39, 165)(40, 167)(41, 201)(42, 172)(43, 200)(44, 171)(45, 205)(46, 176)(47, 204)(48, 175)(49, 207)(50, 209)(51, 177)(52, 210)(53, 178)(54, 180)(55, 182)(56, 212)(57, 188)(58, 211)(59, 187)(60, 214)(61, 192)(62, 191)(63, 215)(64, 193)(65, 195)(66, 197)(67, 216)(68, 203)(69, 202)(70, 206)(71, 208)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.1657
Graph:: simple bipartite
	v = 44 e = 144 f = 54
	degree seq :: [ 4^36, 18^8 ]

E24.1659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y2 * Y1)^4, (Y3^-1 * Y1)^9 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 11, 83)(6, 78, 12, 84)(7, 79, 13, 85)(8, 80, 14, 86)(15, 87, 24, 96)(16, 88, 30, 102)(17, 89, 27, 99)(18, 90, 26, 98)(19, 91, 33, 105)(20, 92, 34, 106)(21, 93, 25, 97)(22, 94, 35, 107)(23, 95, 36, 108)(28, 100, 37, 109)(29, 101, 38, 110)(31, 103, 39, 111)(32, 104, 40, 112)(41, 113, 49, 121)(42, 114, 50, 122)(43, 115, 51, 123)(44, 116, 52, 124)(45, 117, 53, 125)(46, 118, 54, 126)(47, 119, 55, 127)(48, 120, 56, 128)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 71, 143)(64, 136, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 149, 221)(151, 223, 152, 224)(153, 225, 159, 231)(154, 226, 162, 234)(155, 227, 165, 237)(156, 228, 168, 240)(157, 229, 171, 243)(158, 230, 174, 246)(160, 232, 161, 233)(163, 235, 164, 236)(166, 238, 167, 239)(169, 241, 170, 242)(172, 244, 173, 245)(175, 247, 176, 248)(177, 249, 180, 252)(178, 250, 179, 251)(181, 253, 184, 256)(182, 254, 183, 255)(185, 257, 186, 258)(187, 259, 188, 260)(189, 261, 190, 262)(191, 263, 192, 264)(193, 265, 196, 268)(194, 266, 195, 267)(197, 269, 200, 272)(198, 270, 199, 271)(201, 273, 202, 274)(203, 275, 204, 276)(205, 277, 206, 278)(207, 279, 208, 280)(209, 281, 212, 284)(210, 282, 211, 283)(213, 285, 216, 288)(214, 286, 215, 287)
	L = (1, 148)(2, 151)(3, 149)(4, 147)(5, 145)(6, 152)(7, 150)(8, 146)(9, 160)(10, 163)(11, 166)(12, 169)(13, 172)(14, 175)(15, 161)(16, 159)(17, 153)(18, 164)(19, 162)(20, 154)(21, 167)(22, 165)(23, 155)(24, 170)(25, 168)(26, 156)(27, 173)(28, 171)(29, 157)(30, 176)(31, 174)(32, 158)(33, 185)(34, 187)(35, 188)(36, 186)(37, 189)(38, 191)(39, 192)(40, 190)(41, 180)(42, 177)(43, 179)(44, 178)(45, 184)(46, 181)(47, 183)(48, 182)(49, 201)(50, 203)(51, 204)(52, 202)(53, 205)(54, 207)(55, 208)(56, 206)(57, 196)(58, 193)(59, 195)(60, 194)(61, 200)(62, 197)(63, 199)(64, 198)(65, 214)(66, 216)(67, 213)(68, 215)(69, 210)(70, 212)(71, 209)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1668
Graph:: simple bipartite
	v = 72 e = 144 f = 26
	degree seq :: [ 4^72 ]

E24.1660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y2^-1)^2, (Y1 * Y3)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2^2 * Y3 * Y1, (Y3 * Y2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 8, 80)(4, 76, 7, 79)(5, 77, 6, 78)(9, 81, 14, 86)(10, 82, 18, 90)(11, 83, 17, 89)(12, 84, 16, 88)(13, 85, 15, 87)(19, 91, 22, 94)(20, 92, 25, 97)(21, 93, 26, 98)(23, 95, 28, 100)(24, 96, 27, 99)(29, 101, 35, 107)(30, 102, 36, 108)(31, 103, 33, 105)(32, 104, 34, 106)(37, 109, 39, 111)(38, 110, 40, 112)(41, 113, 43, 115)(42, 114, 44, 116)(45, 117, 47, 119)(46, 118, 48, 120)(49, 121, 51, 123)(50, 122, 52, 124)(53, 125, 55, 127)(54, 126, 56, 128)(57, 129, 59, 131)(58, 130, 60, 132)(61, 133, 63, 135)(62, 134, 64, 136)(65, 137, 67, 139)(66, 138, 68, 140)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 153, 225, 149, 221)(146, 218, 150, 222, 158, 230, 152, 224)(148, 220, 155, 227, 166, 238, 156, 228)(151, 223, 160, 232, 163, 235, 161, 233)(154, 226, 164, 236, 159, 231, 165, 237)(157, 229, 169, 241, 162, 234, 170, 242)(167, 239, 175, 247, 171, 243, 176, 248)(168, 240, 177, 249, 172, 244, 178, 250)(173, 245, 181, 253, 180, 252, 182, 254)(174, 246, 183, 255, 179, 251, 184, 256)(185, 257, 193, 265, 188, 260, 194, 266)(186, 258, 195, 267, 187, 259, 196, 268)(189, 261, 197, 269, 192, 264, 198, 270)(190, 262, 199, 271, 191, 263, 200, 272)(201, 273, 209, 281, 204, 276, 210, 282)(202, 274, 211, 283, 203, 275, 212, 284)(205, 277, 213, 285, 208, 280, 214, 286)(206, 278, 215, 287, 207, 279, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 159)(7, 146)(8, 162)(9, 163)(10, 147)(11, 167)(12, 168)(13, 149)(14, 166)(15, 150)(16, 171)(17, 172)(18, 152)(19, 153)(20, 173)(21, 174)(22, 158)(23, 155)(24, 156)(25, 179)(26, 180)(27, 160)(28, 161)(29, 164)(30, 165)(31, 185)(32, 186)(33, 187)(34, 188)(35, 169)(36, 170)(37, 189)(38, 190)(39, 191)(40, 192)(41, 175)(42, 176)(43, 177)(44, 178)(45, 181)(46, 182)(47, 183)(48, 184)(49, 201)(50, 202)(51, 203)(52, 204)(53, 205)(54, 206)(55, 207)(56, 208)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 216)(66, 213)(67, 214)(68, 215)(69, 210)(70, 211)(71, 212)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1667
Graph:: simple bipartite
	v = 54 e = 144 f = 44
	degree seq :: [ 4^36, 8^18 ]

E24.1661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 16, 88)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 20, 92)(12, 84, 22, 94)(13, 85, 18, 90)(15, 87, 19, 91)(17, 89, 30, 102)(23, 95, 33, 105)(24, 96, 35, 107)(26, 98, 36, 108)(27, 99, 34, 106)(28, 100, 37, 109)(29, 101, 39, 111)(31, 103, 40, 112)(32, 104, 38, 110)(41, 113, 49, 121)(42, 114, 51, 123)(43, 115, 52, 124)(44, 116, 50, 122)(45, 117, 53, 125)(46, 118, 55, 127)(47, 119, 56, 128)(48, 120, 54, 126)(57, 129, 65, 137)(58, 130, 67, 139)(59, 131, 68, 140)(60, 132, 66, 138)(61, 133, 69, 141)(62, 134, 71, 143)(63, 135, 72, 144)(64, 136, 70, 142)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 161, 233, 152, 224)(148, 220, 156, 228, 169, 241, 157, 229)(151, 223, 163, 235, 174, 246, 164, 236)(153, 225, 167, 239, 159, 231, 168, 240)(155, 227, 170, 242, 158, 230, 171, 243)(160, 232, 172, 244, 166, 238, 173, 245)(162, 234, 175, 247, 165, 237, 176, 248)(177, 249, 185, 257, 180, 252, 186, 258)(178, 250, 187, 259, 179, 251, 188, 260)(181, 253, 189, 261, 184, 256, 190, 262)(182, 254, 191, 263, 183, 255, 192, 264)(193, 265, 201, 273, 196, 268, 202, 274)(194, 266, 203, 275, 195, 267, 204, 276)(197, 269, 205, 277, 200, 272, 206, 278)(198, 270, 207, 279, 199, 271, 208, 280)(209, 281, 215, 287, 212, 284, 214, 286)(210, 282, 213, 285, 211, 283, 216, 288)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 162)(7, 146)(8, 166)(9, 164)(10, 161)(11, 147)(12, 165)(13, 160)(14, 163)(15, 149)(16, 157)(17, 154)(18, 150)(19, 158)(20, 153)(21, 156)(22, 152)(23, 178)(24, 180)(25, 174)(26, 179)(27, 177)(28, 182)(29, 184)(30, 169)(31, 183)(32, 181)(33, 171)(34, 167)(35, 170)(36, 168)(37, 176)(38, 172)(39, 175)(40, 173)(41, 194)(42, 196)(43, 195)(44, 193)(45, 198)(46, 200)(47, 199)(48, 197)(49, 188)(50, 185)(51, 187)(52, 186)(53, 192)(54, 189)(55, 191)(56, 190)(57, 210)(58, 212)(59, 211)(60, 209)(61, 214)(62, 216)(63, 215)(64, 213)(65, 204)(66, 201)(67, 203)(68, 202)(69, 208)(70, 205)(71, 207)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1664
Graph:: simple bipartite
	v = 54 e = 144 f = 44
	degree seq :: [ 4^36, 8^18 ]

E24.1662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y3^-1 * Y2^2 * Y1, (R * Y3)^2, Y3^4, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1 * Y1)^2, (Y3 * Y2^-1 * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 12, 84)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 19, 91)(13, 85, 23, 95)(14, 86, 24, 96)(15, 87, 22, 94)(16, 88, 20, 92)(17, 89, 21, 93)(25, 97, 33, 105)(26, 98, 34, 106)(27, 99, 36, 108)(28, 100, 35, 107)(29, 101, 37, 109)(30, 102, 38, 110)(31, 103, 40, 112)(32, 104, 39, 111)(41, 113, 49, 121)(42, 114, 50, 122)(43, 115, 52, 124)(44, 116, 51, 123)(45, 117, 53, 125)(46, 118, 54, 126)(47, 119, 56, 128)(48, 120, 55, 127)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 68, 140)(60, 132, 67, 139)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 72, 144)(64, 136, 71, 143)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 151, 223, 150, 222, 153, 225)(148, 220, 158, 230, 166, 238, 160, 232)(152, 224, 165, 237, 159, 231, 167, 239)(155, 227, 169, 241, 157, 229, 170, 242)(156, 228, 171, 243, 161, 233, 172, 244)(162, 234, 173, 245, 164, 236, 174, 246)(163, 235, 175, 247, 168, 240, 176, 248)(177, 249, 185, 257, 179, 251, 186, 258)(178, 250, 187, 259, 180, 252, 188, 260)(181, 253, 189, 261, 183, 255, 190, 262)(182, 254, 191, 263, 184, 256, 192, 264)(193, 265, 201, 273, 195, 267, 202, 274)(194, 266, 203, 275, 196, 268, 204, 276)(197, 269, 205, 277, 199, 271, 206, 278)(198, 270, 207, 279, 200, 272, 208, 280)(209, 281, 214, 286, 211, 283, 216, 288)(210, 282, 215, 287, 212, 284, 213, 285)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 155)(6, 145)(7, 163)(8, 166)(9, 162)(10, 146)(11, 167)(12, 165)(13, 147)(14, 164)(15, 150)(16, 168)(17, 149)(18, 160)(19, 158)(20, 151)(21, 157)(22, 154)(23, 161)(24, 153)(25, 178)(26, 177)(27, 179)(28, 180)(29, 182)(30, 181)(31, 183)(32, 184)(33, 172)(34, 171)(35, 169)(36, 170)(37, 176)(38, 175)(39, 173)(40, 174)(41, 194)(42, 193)(43, 195)(44, 196)(45, 198)(46, 197)(47, 199)(48, 200)(49, 188)(50, 187)(51, 185)(52, 186)(53, 192)(54, 191)(55, 189)(56, 190)(57, 210)(58, 209)(59, 211)(60, 212)(61, 214)(62, 213)(63, 215)(64, 216)(65, 204)(66, 203)(67, 201)(68, 202)(69, 208)(70, 207)(71, 205)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1665
Graph:: simple bipartite
	v = 54 e = 144 f = 44
	degree seq :: [ 4^36, 8^18 ]

E24.1663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3 * Y2^2, Y2^-1 * Y1 * Y3 * Y2^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-1 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y1)^2, (Y3^-1 * Y2^-1 * Y3^-1)^2, (Y1 * Y2)^9 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 13, 85)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 20, 92)(12, 84, 24, 96)(14, 86, 21, 93)(15, 87, 23, 95)(16, 88, 22, 94)(17, 89, 19, 91)(25, 97, 33, 105)(26, 98, 35, 107)(27, 99, 36, 108)(28, 100, 34, 106)(29, 101, 37, 109)(30, 102, 39, 111)(31, 103, 40, 112)(32, 104, 38, 110)(41, 113, 49, 121)(42, 114, 51, 123)(43, 115, 52, 124)(44, 116, 50, 122)(45, 117, 53, 125)(46, 118, 55, 127)(47, 119, 56, 128)(48, 120, 54, 126)(57, 129, 65, 137)(58, 130, 67, 139)(59, 131, 68, 140)(60, 132, 66, 138)(61, 133, 69, 141)(62, 134, 71, 143)(63, 135, 72, 144)(64, 136, 70, 142)(145, 217, 147, 219, 152, 224, 149, 221)(146, 218, 151, 223, 148, 220, 153, 225)(150, 222, 160, 232, 165, 237, 161, 233)(154, 226, 167, 239, 158, 230, 168, 240)(155, 227, 169, 241, 156, 228, 170, 242)(157, 229, 171, 243, 159, 231, 172, 244)(162, 234, 173, 245, 163, 235, 174, 246)(164, 236, 175, 247, 166, 238, 176, 248)(177, 249, 185, 257, 178, 250, 186, 258)(179, 251, 187, 259, 180, 252, 188, 260)(181, 253, 189, 261, 182, 254, 190, 262)(183, 255, 191, 263, 184, 256, 192, 264)(193, 265, 201, 273, 194, 266, 202, 274)(195, 267, 203, 275, 196, 268, 204, 276)(197, 269, 205, 277, 198, 270, 206, 278)(199, 271, 207, 279, 200, 272, 208, 280)(209, 281, 215, 287, 210, 282, 216, 288)(211, 283, 214, 286, 212, 284, 213, 285)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 163)(8, 165)(9, 166)(10, 146)(11, 149)(12, 167)(13, 147)(14, 150)(15, 168)(16, 164)(17, 162)(18, 153)(19, 160)(20, 151)(21, 154)(22, 161)(23, 157)(24, 155)(25, 178)(26, 180)(27, 179)(28, 177)(29, 182)(30, 184)(31, 183)(32, 181)(33, 170)(34, 171)(35, 169)(36, 172)(37, 174)(38, 175)(39, 173)(40, 176)(41, 194)(42, 196)(43, 195)(44, 193)(45, 198)(46, 200)(47, 199)(48, 197)(49, 186)(50, 187)(51, 185)(52, 188)(53, 190)(54, 191)(55, 189)(56, 192)(57, 210)(58, 212)(59, 211)(60, 209)(61, 214)(62, 216)(63, 215)(64, 213)(65, 202)(66, 203)(67, 201)(68, 204)(69, 206)(70, 207)(71, 205)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1666
Graph:: bipartite
	v = 54 e = 144 f = 44
	degree seq :: [ 4^36, 8^18 ]

E24.1664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y2, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 41, 113, 56, 128, 40, 112, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 42, 114, 59, 131, 65, 137, 50, 122, 31, 103, 11, 83)(4, 76, 12, 84, 32, 104, 51, 123, 66, 138, 61, 133, 43, 115, 33, 105, 13, 85)(7, 79, 20, 92, 47, 119, 57, 129, 69, 141, 54, 126, 38, 110, 29, 101, 22, 94)(8, 80, 23, 95, 30, 102, 39, 111, 55, 127, 70, 142, 58, 130, 48, 120, 24, 96)(10, 82, 28, 100, 49, 121, 64, 136, 72, 144, 71, 143, 60, 132, 45, 117, 21, 93)(14, 86, 34, 106, 26, 98, 18, 90, 44, 116, 62, 134, 67, 139, 52, 124, 35, 107)(15, 87, 36, 108, 53, 125, 68, 140, 63, 135, 46, 118, 19, 91, 27, 99, 37, 109)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 173, 245)(156, 228, 174, 246)(157, 229, 171, 243)(159, 231, 172, 244)(160, 232, 182, 254)(161, 233, 186, 258)(163, 235, 189, 261)(164, 236, 169, 241)(166, 238, 178, 250)(167, 239, 181, 253)(168, 240, 177, 249)(175, 247, 179, 251)(176, 248, 180, 252)(183, 255, 193, 265)(184, 256, 194, 266)(185, 257, 201, 273)(187, 259, 204, 276)(188, 260, 191, 263)(190, 262, 192, 264)(195, 267, 208, 280)(196, 268, 198, 270)(197, 269, 199, 271)(200, 272, 211, 283)(202, 274, 215, 287)(203, 275, 206, 278)(205, 277, 207, 279)(209, 281, 213, 285)(210, 282, 214, 286)(212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 174)(12, 173)(13, 170)(14, 172)(15, 149)(16, 183)(17, 187)(18, 189)(19, 150)(20, 177)(21, 151)(22, 181)(23, 178)(24, 169)(25, 168)(26, 157)(27, 153)(28, 158)(29, 156)(30, 155)(31, 180)(32, 179)(33, 164)(34, 167)(35, 176)(36, 175)(37, 166)(38, 193)(39, 160)(40, 195)(41, 202)(42, 204)(43, 161)(44, 192)(45, 162)(46, 191)(47, 190)(48, 188)(49, 182)(50, 208)(51, 184)(52, 199)(53, 198)(54, 197)(55, 196)(56, 212)(57, 215)(58, 185)(59, 207)(60, 186)(61, 206)(62, 205)(63, 203)(64, 194)(65, 214)(66, 213)(67, 216)(68, 200)(69, 210)(70, 209)(71, 201)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 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 E24.1661
Graph:: simple bipartite
	v = 44 e = 144 f = 54
	degree seq :: [ 4^36, 18^8 ]

E24.1665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y3)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1 * Y3^-2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^2, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 22, 94, 41, 113, 56, 128, 40, 112, 19, 91, 5, 77)(3, 75, 11, 83, 30, 102, 42, 114, 60, 132, 65, 137, 50, 122, 34, 106, 13, 85)(4, 76, 15, 87, 35, 107, 51, 123, 66, 138, 59, 131, 43, 115, 29, 101, 10, 82)(6, 78, 18, 90, 37, 109, 53, 125, 68, 140, 62, 134, 44, 116, 24, 96, 21, 93)(8, 80, 26, 98, 48, 120, 57, 129, 69, 141, 54, 126, 38, 110, 32, 104, 27, 99)(9, 81, 12, 84, 20, 92, 39, 111, 55, 127, 70, 142, 58, 130, 47, 119, 25, 97)(14, 86, 33, 105, 49, 121, 64, 136, 72, 144, 71, 143, 61, 133, 46, 118, 28, 100)(16, 88, 31, 103, 23, 95, 45, 117, 63, 135, 67, 139, 52, 124, 36, 108, 17, 89)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 167, 239)(153, 225, 172, 244)(154, 226, 165, 237)(155, 227, 175, 247)(157, 229, 176, 248)(159, 231, 164, 236)(160, 232, 171, 243)(162, 234, 177, 249)(163, 235, 182, 254)(166, 238, 186, 258)(168, 240, 190, 262)(169, 241, 173, 245)(170, 242, 174, 246)(178, 250, 180, 252)(179, 251, 181, 253)(183, 255, 193, 265)(184, 256, 194, 266)(185, 257, 201, 273)(187, 259, 205, 277)(188, 260, 191, 263)(189, 261, 192, 264)(195, 267, 208, 280)(196, 268, 198, 270)(197, 269, 199, 271)(200, 272, 211, 283)(202, 274, 215, 287)(203, 275, 206, 278)(204, 276, 207, 279)(209, 281, 213, 285)(210, 282, 214, 286)(212, 284, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 162)(6, 145)(7, 168)(8, 165)(9, 155)(10, 146)(11, 154)(12, 171)(13, 177)(14, 147)(15, 157)(16, 150)(17, 159)(18, 176)(19, 183)(20, 149)(21, 175)(22, 187)(23, 173)(24, 170)(25, 151)(26, 169)(27, 158)(28, 152)(29, 174)(30, 190)(31, 172)(32, 164)(33, 161)(34, 179)(35, 163)(36, 193)(37, 180)(38, 181)(39, 178)(40, 195)(41, 202)(42, 191)(43, 189)(44, 166)(45, 188)(46, 167)(47, 192)(48, 205)(49, 182)(50, 199)(51, 196)(52, 197)(53, 184)(54, 208)(55, 198)(56, 212)(57, 206)(58, 204)(59, 185)(60, 203)(61, 186)(62, 207)(63, 215)(64, 194)(65, 216)(66, 209)(67, 210)(68, 213)(69, 214)(70, 200)(71, 201)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 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 E24.1662
Graph:: simple bipartite
	v = 44 e = 144 f = 54
	degree seq :: [ 4^36, 18^8 ]

E24.1666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^-1 * Y3^-2, Y1 * Y3 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y2 * Y1^-1 * Y2, Y1^9 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 22, 94, 41, 113, 56, 128, 40, 112, 19, 91, 5, 77)(3, 75, 11, 83, 30, 102, 42, 114, 60, 132, 65, 137, 50, 122, 34, 106, 13, 85)(4, 76, 15, 87, 35, 107, 51, 123, 66, 138, 59, 131, 43, 115, 29, 101, 10, 82)(6, 78, 18, 90, 37, 109, 53, 125, 68, 140, 62, 134, 44, 116, 24, 96, 21, 93)(8, 80, 26, 98, 48, 120, 57, 129, 69, 141, 54, 126, 38, 110, 33, 105, 16, 88)(9, 81, 14, 86, 20, 92, 39, 111, 55, 127, 70, 142, 58, 130, 47, 119, 25, 97)(12, 84, 31, 103, 49, 121, 64, 136, 72, 144, 71, 143, 61, 133, 46, 118, 27, 99)(17, 89, 32, 104, 28, 100, 23, 95, 45, 117, 63, 135, 67, 139, 52, 124, 36, 108)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 167, 239)(153, 225, 165, 237)(154, 226, 171, 243)(155, 227, 172, 244)(157, 229, 177, 249)(159, 231, 162, 234)(160, 232, 176, 248)(163, 235, 182, 254)(164, 236, 175, 247)(166, 238, 186, 258)(168, 240, 173, 245)(169, 241, 190, 262)(170, 242, 174, 246)(178, 250, 180, 252)(179, 251, 193, 265)(181, 253, 183, 255)(184, 256, 194, 266)(185, 257, 201, 273)(187, 259, 191, 263)(188, 260, 205, 277)(189, 261, 192, 264)(195, 267, 199, 271)(196, 268, 198, 270)(197, 269, 208, 280)(200, 272, 211, 283)(202, 274, 206, 278)(203, 275, 215, 287)(204, 276, 207, 279)(209, 281, 213, 285)(210, 282, 212, 284)(214, 286, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 162)(6, 145)(7, 168)(8, 171)(9, 172)(10, 146)(11, 165)(12, 176)(13, 164)(14, 147)(15, 161)(16, 150)(17, 175)(18, 157)(19, 183)(20, 149)(21, 152)(22, 187)(23, 190)(24, 174)(25, 151)(26, 173)(27, 155)(28, 154)(29, 167)(30, 169)(31, 177)(32, 158)(33, 159)(34, 181)(35, 163)(36, 179)(37, 182)(38, 193)(39, 180)(40, 195)(41, 202)(42, 205)(43, 192)(44, 166)(45, 191)(46, 170)(47, 186)(48, 188)(49, 178)(50, 208)(51, 198)(52, 199)(53, 184)(54, 197)(55, 194)(56, 212)(57, 215)(58, 207)(59, 185)(60, 206)(61, 189)(62, 201)(63, 203)(64, 196)(65, 214)(66, 211)(67, 216)(68, 209)(69, 210)(70, 200)(71, 204)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.1663
Graph:: simple bipartite
	v = 44 e = 144 f = 54
	degree seq :: [ 4^36, 18^8 ]

E24.1667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, Y3 * Y1^2 * Y3 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-2 * Y3, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 33, 105, 52, 124, 32, 104, 14, 86, 5, 77)(3, 75, 9, 81, 21, 93, 45, 117, 60, 132, 53, 125, 34, 106, 16, 88, 7, 79)(4, 76, 11, 83, 25, 97, 49, 121, 64, 136, 56, 128, 35, 107, 28, 100, 12, 84)(8, 80, 19, 91, 41, 113, 31, 103, 51, 123, 66, 138, 54, 126, 44, 116, 20, 92)(10, 82, 23, 95, 43, 115, 55, 127, 68, 140, 71, 143, 61, 133, 48, 120, 24, 96)(13, 85, 29, 101, 50, 122, 65, 137, 59, 131, 38, 110, 17, 89, 37, 109, 30, 102)(18, 90, 39, 111, 58, 130, 67, 139, 72, 144, 62, 134, 46, 118, 26, 98, 40, 112)(22, 94, 42, 114, 27, 99, 36, 108, 57, 129, 69, 141, 70, 142, 63, 135, 47, 119)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 153, 225)(150, 222, 160, 232)(152, 224, 162, 234)(155, 227, 168, 240)(156, 228, 167, 239)(157, 229, 166, 238)(158, 230, 165, 237)(159, 231, 178, 250)(161, 233, 180, 252)(163, 235, 184, 256)(164, 236, 183, 255)(169, 241, 192, 264)(170, 242, 185, 257)(171, 243, 181, 253)(172, 244, 187, 259)(173, 245, 191, 263)(174, 246, 186, 258)(175, 247, 190, 262)(176, 248, 189, 261)(177, 249, 197, 269)(179, 251, 199, 271)(182, 254, 201, 273)(188, 260, 202, 274)(193, 265, 205, 277)(194, 266, 207, 279)(195, 267, 206, 278)(196, 268, 204, 276)(198, 270, 211, 283)(200, 272, 212, 284)(203, 275, 213, 285)(208, 280, 215, 287)(209, 281, 214, 286)(210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 157)(6, 161)(7, 162)(8, 146)(9, 166)(10, 147)(11, 170)(12, 171)(13, 149)(14, 175)(15, 179)(16, 180)(17, 150)(18, 151)(19, 186)(20, 187)(21, 190)(22, 153)(23, 181)(24, 185)(25, 191)(26, 155)(27, 156)(28, 183)(29, 192)(30, 184)(31, 158)(32, 193)(33, 198)(34, 199)(35, 159)(36, 160)(37, 167)(38, 202)(39, 172)(40, 174)(41, 168)(42, 163)(43, 164)(44, 201)(45, 205)(46, 165)(47, 169)(48, 173)(49, 176)(50, 206)(51, 207)(52, 209)(53, 211)(54, 177)(55, 178)(56, 213)(57, 188)(58, 182)(59, 212)(60, 214)(61, 189)(62, 194)(63, 195)(64, 216)(65, 196)(66, 215)(67, 197)(68, 203)(69, 200)(70, 204)(71, 210)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 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 E24.1660
Graph:: simple bipartite
	v = 44 e = 144 f = 54
	degree seq :: [ 4^36, 18^8 ]

E24.1668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 9})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, Y1^-1 * Y3, (Y3 * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^-2 * Y3^-2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^2 * Y1, Y2 * R * Y1^-1 * Y2^2 * R * Y2^-1 * Y1^-1, Y2^9 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 19, 91, 8, 80)(5, 77, 11, 83, 25, 97, 13, 85)(7, 79, 17, 89, 32, 104, 16, 88)(10, 82, 23, 95, 40, 112, 22, 94)(12, 84, 15, 87, 30, 102, 27, 99)(14, 86, 28, 100, 35, 107, 18, 90)(20, 92, 37, 109, 49, 121, 31, 103)(21, 93, 39, 111, 48, 120, 34, 106)(24, 96, 38, 110, 50, 122, 42, 114)(26, 98, 33, 105, 51, 123, 44, 116)(29, 101, 36, 108, 52, 124, 45, 117)(41, 113, 57, 129, 63, 135, 55, 127)(43, 115, 58, 130, 68, 140, 56, 128)(46, 118, 60, 132, 65, 137, 53, 125)(47, 119, 61, 133, 70, 142, 62, 134)(54, 126, 67, 139, 72, 144, 66, 138)(59, 131, 64, 136, 71, 143, 69, 141)(145, 217, 147, 219, 154, 226, 168, 240, 187, 259, 191, 263, 173, 245, 158, 230, 149, 221)(146, 218, 151, 223, 162, 234, 180, 252, 198, 270, 200, 272, 182, 254, 164, 236, 152, 224)(148, 220, 155, 227, 170, 242, 189, 261, 205, 277, 203, 275, 186, 258, 167, 239, 156, 228)(150, 222, 159, 231, 175, 247, 194, 266, 208, 280, 210, 282, 196, 268, 177, 249, 160, 232)(153, 225, 165, 237, 157, 229, 172, 244, 190, 262, 206, 278, 202, 274, 185, 257, 166, 238)(161, 233, 178, 250, 163, 235, 181, 253, 199, 271, 212, 284, 211, 283, 197, 269, 179, 251)(169, 241, 183, 255, 171, 243, 184, 256, 201, 273, 213, 285, 214, 286, 204, 276, 188, 260)(174, 246, 192, 264, 176, 248, 195, 267, 209, 281, 216, 288, 215, 287, 207, 279, 193, 265)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 148)(7, 161)(8, 147)(9, 163)(10, 167)(11, 169)(12, 159)(13, 149)(14, 172)(15, 174)(16, 151)(17, 176)(18, 158)(19, 152)(20, 181)(21, 183)(22, 154)(23, 184)(24, 182)(25, 157)(26, 177)(27, 156)(28, 179)(29, 180)(30, 171)(31, 164)(32, 160)(33, 195)(34, 165)(35, 162)(36, 196)(37, 193)(38, 194)(39, 192)(40, 166)(41, 201)(42, 168)(43, 202)(44, 170)(45, 173)(46, 204)(47, 205)(48, 178)(49, 175)(50, 186)(51, 188)(52, 189)(53, 190)(54, 211)(55, 185)(56, 187)(57, 207)(58, 212)(59, 208)(60, 209)(61, 214)(62, 191)(63, 199)(64, 215)(65, 197)(66, 198)(67, 216)(68, 200)(69, 203)(70, 206)(71, 213)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1659
Graph:: bipartite
	v = 26 e = 144 f = 72
	degree seq :: [ 8^18, 18^8 ]

E24.1669 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 9})
Quotient :: edge
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^8, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 25, 13, 5)(2, 7, 17, 31, 47, 48, 32, 18, 8)(4, 11, 22, 37, 52, 49, 34, 20, 10)(6, 15, 29, 45, 59, 60, 46, 30, 16)(12, 21, 35, 50, 61, 63, 53, 38, 23)(14, 27, 43, 57, 67, 68, 58, 44, 28)(24, 39, 54, 64, 70, 69, 62, 51, 36)(26, 41, 55, 65, 71, 72, 66, 56, 42)(73, 74, 78, 86, 98, 96, 84, 76)(75, 80, 87, 100, 113, 108, 93, 82)(77, 79, 88, 99, 114, 111, 95, 83)(81, 90, 101, 116, 127, 123, 107, 92)(85, 89, 102, 115, 128, 126, 110, 94)(91, 104, 117, 130, 137, 134, 122, 106)(97, 103, 118, 129, 138, 136, 125, 109)(105, 120, 131, 140, 143, 141, 133, 121)(112, 119, 132, 139, 144, 142, 135, 124)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^8 ), ( 16^9 ) }
Outer automorphisms :: reflexible
Dual of E24.1670
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 72 f = 9
	degree seq :: [ 8^9, 9^8 ]

E24.1670 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 9})
Quotient :: loop
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-2 * T1^-1, T1^-2 * T2^6, (T2 * T1)^9 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 21, 93, 26, 98, 15, 87, 6, 78, 5, 77)(2, 74, 7, 79, 4, 76, 12, 84, 22, 94, 27, 99, 14, 86, 8, 80)(9, 81, 19, 91, 11, 83, 23, 95, 28, 100, 25, 97, 13, 85, 20, 92)(16, 88, 29, 101, 17, 89, 31, 103, 24, 96, 32, 104, 18, 90, 30, 102)(33, 105, 41, 113, 34, 106, 43, 115, 36, 108, 44, 116, 35, 107, 42, 114)(37, 109, 45, 117, 38, 110, 47, 119, 40, 112, 48, 120, 39, 111, 46, 118)(49, 121, 57, 129, 50, 122, 59, 131, 52, 124, 60, 132, 51, 123, 58, 130)(53, 125, 61, 133, 54, 126, 63, 135, 56, 128, 64, 136, 55, 127, 62, 134)(65, 137, 70, 142, 66, 138, 72, 144, 68, 140, 71, 143, 67, 139, 69, 141)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 85)(6, 86)(7, 88)(8, 90)(9, 77)(10, 76)(11, 75)(12, 89)(13, 87)(14, 98)(15, 100)(16, 80)(17, 79)(18, 99)(19, 105)(20, 107)(21, 83)(22, 82)(23, 106)(24, 84)(25, 108)(26, 94)(27, 96)(28, 93)(29, 109)(30, 111)(31, 110)(32, 112)(33, 92)(34, 91)(35, 97)(36, 95)(37, 102)(38, 101)(39, 104)(40, 103)(41, 121)(42, 123)(43, 122)(44, 124)(45, 125)(46, 127)(47, 126)(48, 128)(49, 114)(50, 113)(51, 116)(52, 115)(53, 118)(54, 117)(55, 120)(56, 119)(57, 137)(58, 139)(59, 138)(60, 140)(61, 141)(62, 143)(63, 142)(64, 144)(65, 130)(66, 129)(67, 132)(68, 131)(69, 134)(70, 133)(71, 136)(72, 135)
	local type(s) :: { ( 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9 ) }
Outer automorphisms :: reflexible
Dual of E24.1669
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 17
	degree seq :: [ 16^9 ]

E24.1671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 9})
Quotient :: dipole
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^8, Y2^9, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 24, 96, 12, 84, 4, 76)(3, 75, 8, 80, 15, 87, 28, 100, 41, 113, 36, 108, 21, 93, 10, 82)(5, 77, 7, 79, 16, 88, 27, 99, 42, 114, 39, 111, 23, 95, 11, 83)(9, 81, 18, 90, 29, 101, 44, 116, 55, 127, 51, 123, 35, 107, 20, 92)(13, 85, 17, 89, 30, 102, 43, 115, 56, 128, 54, 126, 38, 110, 22, 94)(19, 91, 32, 104, 45, 117, 58, 130, 65, 137, 62, 134, 50, 122, 34, 106)(25, 97, 31, 103, 46, 118, 57, 129, 66, 138, 64, 136, 53, 125, 37, 109)(33, 105, 48, 120, 59, 131, 68, 140, 71, 143, 69, 141, 61, 133, 49, 121)(40, 112, 47, 119, 60, 132, 67, 139, 72, 144, 70, 142, 63, 135, 52, 124)(145, 217, 147, 219, 153, 225, 163, 235, 177, 249, 184, 256, 169, 241, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 175, 247, 191, 263, 192, 264, 176, 248, 162, 234, 152, 224)(148, 220, 155, 227, 166, 238, 181, 253, 196, 268, 193, 265, 178, 250, 164, 236, 154, 226)(150, 222, 159, 231, 173, 245, 189, 261, 203, 275, 204, 276, 190, 262, 174, 246, 160, 232)(156, 228, 165, 237, 179, 251, 194, 266, 205, 277, 207, 279, 197, 269, 182, 254, 167, 239)(158, 230, 171, 243, 187, 259, 201, 273, 211, 283, 212, 284, 202, 274, 188, 260, 172, 244)(168, 240, 183, 255, 198, 270, 208, 280, 214, 286, 213, 285, 206, 278, 195, 267, 180, 252)(170, 242, 185, 257, 199, 271, 209, 281, 215, 287, 216, 288, 210, 282, 200, 272, 186, 258)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 148)(11, 166)(12, 165)(13, 149)(14, 171)(15, 173)(16, 150)(17, 175)(18, 152)(19, 177)(20, 154)(21, 179)(22, 181)(23, 156)(24, 183)(25, 157)(26, 185)(27, 187)(28, 158)(29, 189)(30, 160)(31, 191)(32, 162)(33, 184)(34, 164)(35, 194)(36, 168)(37, 196)(38, 167)(39, 198)(40, 169)(41, 199)(42, 170)(43, 201)(44, 172)(45, 203)(46, 174)(47, 192)(48, 176)(49, 178)(50, 205)(51, 180)(52, 193)(53, 182)(54, 208)(55, 209)(56, 186)(57, 211)(58, 188)(59, 204)(60, 190)(61, 207)(62, 195)(63, 197)(64, 214)(65, 215)(66, 200)(67, 212)(68, 202)(69, 206)(70, 213)(71, 216)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.1672
Graph:: bipartite
	v = 17 e = 144 f = 81
	degree seq :: [ 16^9, 18^8 ]

E24.1672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 9})
Quotient :: dipole
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 158, 230, 170, 242, 168, 240, 156, 228, 148, 220)(147, 219, 152, 224, 159, 231, 172, 244, 185, 257, 180, 252, 165, 237, 154, 226)(149, 221, 151, 223, 160, 232, 171, 243, 186, 258, 183, 255, 167, 239, 155, 227)(153, 225, 162, 234, 173, 245, 188, 260, 199, 271, 195, 267, 179, 251, 164, 236)(157, 229, 161, 233, 174, 246, 187, 259, 200, 272, 198, 270, 182, 254, 166, 238)(163, 235, 176, 248, 189, 261, 202, 274, 209, 281, 206, 278, 194, 266, 178, 250)(169, 241, 175, 247, 190, 262, 201, 273, 210, 282, 208, 280, 197, 269, 181, 253)(177, 249, 192, 264, 203, 275, 212, 284, 215, 287, 213, 285, 205, 277, 193, 265)(184, 256, 191, 263, 204, 276, 211, 283, 216, 288, 214, 286, 207, 279, 196, 268)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 148)(11, 166)(12, 165)(13, 149)(14, 171)(15, 173)(16, 150)(17, 175)(18, 152)(19, 177)(20, 154)(21, 179)(22, 181)(23, 156)(24, 183)(25, 157)(26, 185)(27, 187)(28, 158)(29, 189)(30, 160)(31, 191)(32, 162)(33, 184)(34, 164)(35, 194)(36, 168)(37, 196)(38, 167)(39, 198)(40, 169)(41, 199)(42, 170)(43, 201)(44, 172)(45, 203)(46, 174)(47, 192)(48, 176)(49, 178)(50, 205)(51, 180)(52, 193)(53, 182)(54, 208)(55, 209)(56, 186)(57, 211)(58, 188)(59, 204)(60, 190)(61, 207)(62, 195)(63, 197)(64, 214)(65, 215)(66, 200)(67, 212)(68, 202)(69, 206)(70, 213)(71, 216)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 18 ), ( 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1671
Graph:: simple bipartite
	v = 81 e = 144 f = 17
	degree seq :: [ 2^72, 16^9 ]

E24.1673 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 18, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2, T2 * T1^2 * T2^8, T2^-1 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-3 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 47, 63, 58, 42, 18, 6, 17, 41, 57, 72, 56, 40, 16, 5)(2, 7, 20, 43, 59, 67, 51, 33, 13, 4, 12, 32, 48, 65, 60, 44, 24, 8)(9, 25, 45, 61, 71, 55, 39, 23, 31, 11, 30, 50, 64, 70, 54, 38, 22, 26)(14, 34, 21, 27, 46, 62, 69, 53, 37, 15, 36, 19, 29, 49, 66, 68, 52, 35)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 99, 113, 101)(88, 110, 114, 111)(92, 97, 104, 102)(96, 109, 105, 107)(98, 106, 103, 108)(100, 115, 129, 120)(112, 116, 130, 123)(117, 118, 122, 121)(119, 133, 144, 136)(124, 127, 125, 126)(128, 140, 135, 141)(131, 138, 137, 134)(132, 142, 139, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^4 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1674
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.1674 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 18, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2, T2 * T1^2 * T2^8, T2^-1 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-4 * T1^-1 * T2^-3 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 28, 100, 47, 119, 63, 135, 58, 130, 42, 114, 18, 90, 6, 78, 17, 89, 41, 113, 57, 129, 72, 144, 56, 128, 40, 112, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 43, 115, 59, 131, 67, 139, 51, 123, 33, 105, 13, 85, 4, 76, 12, 84, 32, 104, 48, 120, 65, 137, 60, 132, 44, 116, 24, 96, 8, 80)(9, 81, 25, 97, 45, 117, 61, 133, 71, 143, 55, 127, 39, 111, 23, 95, 31, 103, 11, 83, 30, 102, 50, 122, 64, 136, 70, 142, 54, 126, 38, 110, 22, 94, 26, 98)(14, 86, 34, 106, 21, 93, 27, 99, 46, 118, 62, 134, 69, 141, 53, 125, 37, 109, 15, 87, 36, 108, 19, 91, 29, 101, 49, 121, 66, 138, 68, 140, 52, 124, 35, 107)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 99)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 110)(17, 83)(18, 87)(19, 84)(20, 97)(21, 79)(22, 85)(23, 80)(24, 109)(25, 104)(26, 106)(27, 113)(28, 115)(29, 82)(30, 92)(31, 108)(32, 102)(33, 107)(34, 103)(35, 96)(36, 98)(37, 105)(38, 114)(39, 88)(40, 116)(41, 101)(42, 111)(43, 129)(44, 130)(45, 118)(46, 122)(47, 133)(48, 100)(49, 117)(50, 121)(51, 112)(52, 127)(53, 126)(54, 124)(55, 125)(56, 140)(57, 120)(58, 123)(59, 138)(60, 142)(61, 144)(62, 131)(63, 141)(64, 119)(65, 134)(66, 137)(67, 143)(68, 135)(69, 128)(70, 139)(71, 132)(72, 136)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1673
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 72 f = 22
	degree seq :: [ 36^4 ]

E24.1675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^3 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * R * Y2^-2 * R * Y2^-1, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y1^-1 * Y2^-2 * Y3^-1 * Y2, Y2 * Y1 * Y2^3 * Y1 * Y2^5, Y1^-1 * Y2^-2 * Y1^-2 * Y2^-4 * Y1^-2 * Y2^-3 * Y1^-1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 41, 113, 29, 101)(16, 88, 38, 110, 42, 114, 39, 111)(20, 92, 25, 97, 32, 104, 30, 102)(24, 96, 37, 109, 33, 105, 35, 107)(26, 98, 34, 106, 31, 103, 36, 108)(28, 100, 43, 115, 57, 129, 48, 120)(40, 112, 44, 116, 58, 130, 51, 123)(45, 117, 46, 118, 50, 122, 49, 121)(47, 119, 61, 133, 72, 144, 64, 136)(52, 124, 55, 127, 53, 125, 54, 126)(56, 128, 68, 140, 63, 135, 69, 141)(59, 131, 66, 138, 65, 137, 62, 134)(60, 132, 70, 142, 67, 139, 71, 143)(145, 217, 147, 219, 154, 226, 172, 244, 191, 263, 207, 279, 202, 274, 186, 258, 162, 234, 150, 222, 161, 233, 185, 257, 201, 273, 216, 288, 200, 272, 184, 256, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 187, 259, 203, 275, 211, 283, 195, 267, 177, 249, 157, 229, 148, 220, 156, 228, 176, 248, 192, 264, 209, 281, 204, 276, 188, 260, 168, 240, 152, 224)(153, 225, 169, 241, 189, 261, 205, 277, 215, 287, 199, 271, 183, 255, 167, 239, 175, 247, 155, 227, 174, 246, 194, 266, 208, 280, 214, 286, 198, 270, 182, 254, 166, 238, 170, 242)(158, 230, 178, 250, 165, 237, 171, 243, 190, 262, 206, 278, 213, 285, 197, 269, 181, 253, 159, 231, 180, 252, 163, 235, 173, 245, 193, 265, 210, 282, 212, 284, 196, 268, 179, 251)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 173)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 183)(17, 153)(18, 158)(19, 151)(20, 174)(21, 156)(22, 152)(23, 157)(24, 179)(25, 164)(26, 180)(27, 154)(28, 192)(29, 185)(30, 176)(31, 178)(32, 169)(33, 181)(34, 170)(35, 177)(36, 175)(37, 168)(38, 160)(39, 186)(40, 195)(41, 171)(42, 182)(43, 172)(44, 184)(45, 193)(46, 189)(47, 208)(48, 201)(49, 194)(50, 190)(51, 202)(52, 198)(53, 199)(54, 197)(55, 196)(56, 213)(57, 187)(58, 188)(59, 206)(60, 215)(61, 191)(62, 209)(63, 212)(64, 216)(65, 210)(66, 203)(67, 214)(68, 200)(69, 207)(70, 204)(71, 211)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1676
Graph:: bipartite
	v = 22 e = 144 f = 76
	degree seq :: [ 8^18, 36^4 ]

E24.1676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^4 * Y3^2 * Y1^5, Y1^-1 * Y3^-1 * Y1^-4 * Y3^-1 * Y1^-4 * Y3^-1 * Y1^-4 * Y3^-1 * Y1^-3 * Y3 * Y1^-2 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 41, 113, 57, 129, 65, 137, 49, 121, 28, 100, 10, 82, 21, 93, 45, 117, 61, 133, 69, 141, 53, 125, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 42, 114, 60, 132, 71, 143, 54, 126, 40, 112, 16, 88, 5, 77, 15, 87, 39, 111, 43, 115, 62, 134, 66, 138, 50, 122, 30, 102, 11, 83)(7, 79, 20, 92, 47, 119, 58, 130, 72, 144, 55, 127, 36, 108, 31, 103, 24, 96, 8, 80, 23, 95, 48, 120, 59, 131, 68, 140, 52, 124, 34, 106, 29, 101, 22, 94)(12, 84, 32, 104, 27, 99, 18, 90, 44, 116, 63, 135, 70, 142, 56, 128, 38, 110, 14, 86, 37, 109, 26, 98, 19, 91, 46, 118, 64, 136, 67, 139, 51, 123, 33, 105)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 173)(12, 172)(13, 178)(14, 148)(15, 171)(16, 175)(17, 186)(18, 189)(19, 150)(20, 183)(21, 152)(22, 176)(23, 169)(24, 181)(25, 164)(26, 159)(27, 153)(28, 158)(29, 160)(30, 182)(31, 155)(32, 168)(33, 174)(34, 193)(35, 194)(36, 157)(37, 166)(38, 184)(39, 167)(40, 177)(41, 202)(42, 205)(43, 161)(44, 192)(45, 163)(46, 191)(47, 188)(48, 190)(49, 180)(50, 209)(51, 199)(52, 195)(53, 211)(54, 179)(55, 200)(56, 196)(57, 214)(58, 213)(59, 185)(60, 208)(61, 187)(62, 207)(63, 204)(64, 206)(65, 198)(66, 212)(67, 201)(68, 215)(69, 203)(70, 197)(71, 216)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1675
Graph:: simple bipartite
	v = 76 e = 144 f = 22
	degree seq :: [ 2^72, 36^4 ]

E24.1677 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 18, 18})
Quotient :: edge
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^18 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 70, 64, 56, 48, 40, 32, 24, 16, 8)(4, 9, 17, 25, 33, 41, 49, 57, 65, 71, 67, 59, 51, 43, 35, 27, 19, 11)(6, 13, 21, 29, 37, 45, 53, 61, 68, 72, 69, 62, 54, 46, 38, 30, 22, 14)(73, 74, 78, 76)(75, 81, 85, 79)(77, 83, 86, 80)(82, 87, 93, 89)(84, 88, 94, 91)(90, 97, 101, 95)(92, 99, 102, 96)(98, 103, 109, 105)(100, 104, 110, 107)(106, 113, 117, 111)(108, 115, 118, 112)(114, 119, 125, 121)(116, 120, 126, 123)(122, 129, 133, 127)(124, 131, 134, 128)(130, 135, 140, 137)(132, 136, 141, 139)(138, 143, 144, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^4 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1678
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 72 f = 4
	degree seq :: [ 4^18, 18^4 ]

E24.1678 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 18, 18})
Quotient :: loop
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^18 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 18, 90, 26, 98, 34, 106, 42, 114, 50, 122, 58, 130, 66, 138, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 5, 77)(2, 74, 7, 79, 15, 87, 23, 95, 31, 103, 39, 111, 47, 119, 55, 127, 63, 135, 70, 142, 64, 136, 56, 128, 48, 120, 40, 112, 32, 104, 24, 96, 16, 88, 8, 80)(4, 76, 9, 81, 17, 89, 25, 97, 33, 105, 41, 113, 49, 121, 57, 129, 65, 137, 71, 143, 67, 139, 59, 131, 51, 123, 43, 115, 35, 107, 27, 99, 19, 91, 11, 83)(6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 68, 140, 72, 144, 69, 141, 62, 134, 54, 126, 46, 118, 38, 110, 30, 102, 22, 94, 14, 86)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 76)(7, 75)(8, 77)(9, 85)(10, 87)(11, 86)(12, 88)(13, 79)(14, 80)(15, 93)(16, 94)(17, 82)(18, 97)(19, 84)(20, 99)(21, 89)(22, 91)(23, 90)(24, 92)(25, 101)(26, 103)(27, 102)(28, 104)(29, 95)(30, 96)(31, 109)(32, 110)(33, 98)(34, 113)(35, 100)(36, 115)(37, 105)(38, 107)(39, 106)(40, 108)(41, 117)(42, 119)(43, 118)(44, 120)(45, 111)(46, 112)(47, 125)(48, 126)(49, 114)(50, 129)(51, 116)(52, 131)(53, 121)(54, 123)(55, 122)(56, 124)(57, 133)(58, 135)(59, 134)(60, 136)(61, 127)(62, 128)(63, 140)(64, 141)(65, 130)(66, 143)(67, 132)(68, 137)(69, 139)(70, 138)(71, 144)(72, 142)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1677
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 72 f = 22
	degree seq :: [ 36^4 ]

E24.1679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 18})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^-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, Y2^18, (Y2^-1 * Y1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 13, 85, 7, 79)(5, 77, 11, 83, 14, 86, 8, 80)(10, 82, 15, 87, 21, 93, 17, 89)(12, 84, 16, 88, 22, 94, 19, 91)(18, 90, 25, 97, 29, 101, 23, 95)(20, 92, 27, 99, 30, 102, 24, 96)(26, 98, 31, 103, 37, 109, 33, 105)(28, 100, 32, 104, 38, 110, 35, 107)(34, 106, 41, 113, 45, 117, 39, 111)(36, 108, 43, 115, 46, 118, 40, 112)(42, 114, 47, 119, 53, 125, 49, 121)(44, 116, 48, 120, 54, 126, 51, 123)(50, 122, 57, 129, 61, 133, 55, 127)(52, 124, 59, 131, 62, 134, 56, 128)(58, 130, 63, 135, 68, 140, 65, 137)(60, 132, 64, 136, 69, 141, 67, 139)(66, 138, 71, 143, 72, 144, 70, 142)(145, 217, 147, 219, 154, 226, 162, 234, 170, 242, 178, 250, 186, 258, 194, 266, 202, 274, 210, 282, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 164, 236, 156, 228, 149, 221)(146, 218, 151, 223, 159, 231, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 214, 286, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 160, 232, 152, 224)(148, 220, 153, 225, 161, 233, 169, 241, 177, 249, 185, 257, 193, 265, 201, 273, 209, 281, 215, 287, 211, 283, 203, 275, 195, 267, 187, 259, 179, 251, 171, 243, 163, 235, 155, 227)(150, 222, 157, 229, 165, 237, 173, 245, 181, 253, 189, 261, 197, 269, 205, 277, 212, 284, 216, 288, 213, 285, 206, 278, 198, 270, 190, 262, 182, 254, 174, 246, 166, 238, 158, 230)
	L = (1, 148)(2, 145)(3, 151)(4, 150)(5, 152)(6, 146)(7, 157)(8, 158)(9, 147)(10, 161)(11, 149)(12, 163)(13, 153)(14, 155)(15, 154)(16, 156)(17, 165)(18, 167)(19, 166)(20, 168)(21, 159)(22, 160)(23, 173)(24, 174)(25, 162)(26, 177)(27, 164)(28, 179)(29, 169)(30, 171)(31, 170)(32, 172)(33, 181)(34, 183)(35, 182)(36, 184)(37, 175)(38, 176)(39, 189)(40, 190)(41, 178)(42, 193)(43, 180)(44, 195)(45, 185)(46, 187)(47, 186)(48, 188)(49, 197)(50, 199)(51, 198)(52, 200)(53, 191)(54, 192)(55, 205)(56, 206)(57, 194)(58, 209)(59, 196)(60, 211)(61, 201)(62, 203)(63, 202)(64, 204)(65, 212)(66, 214)(67, 213)(68, 207)(69, 208)(70, 216)(71, 210)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1680
Graph:: bipartite
	v = 22 e = 144 f = 76
	degree seq :: [ 8^18, 36^4 ]

E24.1680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 18})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 4, 76)(3, 75, 8, 80, 14, 86, 23, 95, 30, 102, 39, 111, 46, 118, 55, 127, 62, 134, 69, 141, 66, 138, 58, 130, 50, 122, 42, 114, 34, 106, 26, 98, 18, 90, 10, 82)(5, 77, 7, 79, 15, 87, 22, 94, 31, 103, 38, 110, 47, 119, 54, 126, 63, 135, 68, 140, 67, 139, 59, 131, 51, 123, 43, 115, 35, 107, 27, 99, 19, 91, 11, 83)(9, 81, 16, 88, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 70, 142, 72, 144, 71, 143, 65, 137, 57, 129, 49, 121, 41, 113, 33, 105, 25, 97, 17, 89)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 158)(7, 160)(8, 146)(9, 149)(10, 148)(11, 161)(12, 162)(13, 166)(14, 168)(15, 150)(16, 152)(17, 154)(18, 169)(19, 156)(20, 171)(21, 174)(22, 176)(23, 157)(24, 159)(25, 163)(26, 164)(27, 177)(28, 178)(29, 182)(30, 184)(31, 165)(32, 167)(33, 170)(34, 185)(35, 172)(36, 187)(37, 190)(38, 192)(39, 173)(40, 175)(41, 179)(42, 180)(43, 193)(44, 194)(45, 198)(46, 200)(47, 181)(48, 183)(49, 186)(50, 201)(51, 188)(52, 203)(53, 206)(54, 208)(55, 189)(56, 191)(57, 195)(58, 196)(59, 209)(60, 210)(61, 212)(62, 214)(63, 197)(64, 199)(65, 202)(66, 215)(67, 204)(68, 216)(69, 205)(70, 207)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1679
Graph:: simple bipartite
	v = 76 e = 144 f = 22
	degree seq :: [ 2^72, 36^4 ]

E24.1681 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 36})
Quotient :: halfedge^2
Aut^+ = D72 (small group id <72, 6>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, Y1^5 * Y2 * Y1^-6 * Y3, Y1 * Y2 * Y1^-2 * Y3 * Y1^3 * Y2 * Y1^-1 * Y3 * Y1^3 * Y2 * Y1^-1 * Y3 * Y1^3 * Y2 * Y1^-1 * Y3 * Y1^3 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 86, 14, 98, 26, 114, 42, 126, 54, 134, 62, 122, 50, 110, 38, 95, 23, 84, 12, 90, 18, 102, 30, 108, 36, 119, 47, 131, 59, 140, 68, 144, 72, 143, 71, 136, 64, 124, 52, 112, 40, 106, 34, 92, 20, 82, 10, 89, 17, 101, 29, 117, 45, 129, 57, 137, 65, 125, 53, 113, 41, 97, 25, 85, 13, 77, 5, 73)(3, 81, 9, 91, 19, 105, 33, 120, 48, 132, 60, 141, 69, 139, 67, 130, 58, 118, 46, 103, 31, 93, 21, 107, 35, 104, 32, 96, 24, 111, 39, 123, 51, 135, 63, 142, 70, 138, 66, 128, 56, 116, 44, 100, 28, 88, 16, 80, 8, 76, 4, 83, 11, 94, 22, 109, 37, 121, 49, 133, 61, 127, 55, 115, 43, 99, 27, 87, 15, 79, 7, 75)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 36)(29, 46)(32, 34)(37, 50)(39, 52)(41, 48)(42, 55)(44, 47)(45, 58)(49, 62)(51, 64)(53, 60)(54, 61)(56, 59)(57, 67)(63, 71)(65, 69)(66, 68)(70, 72)(73, 76)(74, 80)(75, 82)(77, 83)(78, 88)(79, 89)(81, 92)(84, 96)(85, 94)(86, 100)(87, 101)(90, 104)(91, 106)(93, 108)(95, 111)(97, 109)(98, 116)(99, 117)(102, 107)(103, 119)(105, 112)(110, 123)(113, 121)(114, 128)(115, 129)(118, 131)(120, 124)(122, 135)(125, 133)(126, 138)(127, 137)(130, 140)(132, 136)(134, 142)(139, 144)(141, 143)
	local type(s) :: { ( 6^72 ) }
Outer automorphisms :: reflexible
Dual of E24.1682
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 72 f = 24
	degree seq :: [ 72^2 ]

E24.1682 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 36})
Quotient :: halfedge^2
Aut^+ = D72 (small group id <72, 6>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y2 * Y1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 74, 2, 77, 5, 73)(3, 80, 8, 78, 6, 75)(4, 82, 10, 79, 7, 76)(9, 84, 12, 86, 14, 81)(11, 85, 13, 88, 16, 83)(15, 92, 20, 90, 18, 87)(17, 94, 22, 91, 19, 89)(21, 96, 24, 98, 26, 93)(23, 97, 25, 100, 28, 95)(27, 104, 32, 102, 30, 99)(29, 106, 34, 103, 31, 101)(33, 108, 36, 110, 38, 105)(35, 109, 37, 112, 40, 107)(39, 116, 44, 114, 42, 111)(41, 118, 46, 115, 43, 113)(45, 120, 48, 122, 50, 117)(47, 121, 49, 124, 52, 119)(51, 128, 56, 126, 54, 123)(53, 130, 58, 127, 55, 125)(57, 132, 60, 134, 62, 129)(59, 133, 61, 136, 64, 131)(63, 140, 68, 138, 66, 135)(65, 142, 70, 139, 67, 137)(69, 143, 71, 144, 72, 141)
	L = (1, 3)(2, 6)(4, 11)(5, 8)(7, 13)(9, 15)(10, 16)(12, 18)(14, 20)(17, 23)(19, 25)(21, 27)(22, 28)(24, 30)(26, 32)(29, 35)(31, 37)(33, 39)(34, 40)(36, 42)(38, 44)(41, 47)(43, 49)(45, 51)(46, 52)(48, 54)(50, 56)(53, 59)(55, 61)(57, 63)(58, 64)(60, 66)(62, 68)(65, 71)(67, 72)(69, 70)(73, 76)(74, 79)(75, 81)(77, 82)(78, 84)(80, 86)(83, 89)(85, 91)(87, 93)(88, 94)(90, 96)(92, 98)(95, 101)(97, 103)(99, 105)(100, 106)(102, 108)(104, 110)(107, 113)(109, 115)(111, 117)(112, 118)(114, 120)(116, 122)(119, 125)(121, 127)(123, 129)(124, 130)(126, 132)(128, 134)(131, 137)(133, 139)(135, 141)(136, 142)(138, 143)(140, 144)
	local type(s) :: { ( 72^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1681
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 72 f = 2
	degree seq :: [ 6^24 ]

E24.1683 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 36})
Quotient :: edge^2
Aut^+ = D72 (small group id <72, 6>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * 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, 73, 4, 76, 5, 77)(2, 74, 7, 79, 8, 80)(3, 75, 10, 82, 11, 83)(6, 78, 13, 85, 14, 86)(9, 81, 16, 88, 17, 89)(12, 84, 19, 91, 20, 92)(15, 87, 22, 94, 23, 95)(18, 90, 25, 97, 26, 98)(21, 93, 28, 100, 29, 101)(24, 96, 31, 103, 32, 104)(27, 99, 34, 106, 35, 107)(30, 102, 37, 109, 38, 110)(33, 105, 40, 112, 41, 113)(36, 108, 43, 115, 44, 116)(39, 111, 46, 118, 47, 119)(42, 114, 49, 121, 50, 122)(45, 117, 52, 124, 53, 125)(48, 120, 55, 127, 56, 128)(51, 123, 58, 130, 59, 131)(54, 126, 61, 133, 62, 134)(57, 129, 64, 136, 65, 137)(60, 132, 67, 139, 68, 140)(63, 135, 70, 142, 71, 143)(66, 138, 69, 141, 72, 144)(145, 146)(147, 153)(148, 152)(149, 151)(150, 156)(154, 161)(155, 160)(157, 164)(158, 163)(159, 165)(162, 168)(166, 173)(167, 172)(169, 176)(170, 175)(171, 177)(174, 180)(178, 185)(179, 184)(181, 188)(182, 187)(183, 189)(186, 192)(190, 197)(191, 196)(193, 200)(194, 199)(195, 201)(198, 204)(202, 209)(203, 208)(205, 212)(206, 211)(207, 213)(210, 214)(215, 216)(217, 219)(218, 222)(220, 227)(221, 226)(223, 230)(224, 229)(225, 231)(228, 234)(232, 239)(233, 238)(235, 242)(236, 241)(237, 243)(240, 246)(244, 251)(245, 250)(247, 254)(248, 253)(249, 255)(252, 258)(256, 263)(257, 262)(259, 266)(260, 265)(261, 267)(264, 270)(268, 275)(269, 274)(271, 278)(272, 277)(273, 279)(276, 282)(280, 287)(281, 286)(283, 288)(284, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 144, 144 ), ( 144^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1686
Graph:: simple bipartite
	v = 96 e = 144 f = 2
	degree seq :: [ 2^72, 6^24 ]

E24.1684 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 36})
Quotient :: edge^2
Aut^+ = D72 (small group id <72, 6>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^3, Y2 * Y1 * Y3^10 * Y2 * Y1 ]
Map::
	R = (1, 73, 4, 76, 12, 84, 24, 96, 40, 112, 52, 124, 64, 136, 66, 138, 54, 126, 42, 114, 26, 98, 37, 109, 21, 93, 9, 81, 20, 92, 36, 108, 49, 121, 61, 133, 68, 140, 56, 128, 44, 116, 30, 102, 16, 88, 6, 78, 15, 87, 29, 101, 33, 105, 47, 119, 59, 131, 71, 143, 65, 137, 53, 125, 41, 113, 25, 97, 13, 85, 5, 77)(2, 74, 7, 79, 17, 89, 31, 103, 45, 117, 57, 129, 69, 141, 60, 132, 48, 120, 35, 107, 19, 91, 34, 106, 28, 100, 14, 86, 27, 99, 43, 115, 55, 127, 67, 139, 63, 135, 51, 123, 39, 111, 23, 95, 11, 83, 3, 75, 10, 82, 22, 94, 38, 110, 50, 122, 62, 134, 72, 144, 70, 142, 58, 130, 46, 118, 32, 104, 18, 90, 8, 80)(145, 146)(147, 153)(148, 152)(149, 151)(150, 158)(154, 165)(155, 164)(156, 162)(157, 161)(159, 172)(160, 171)(163, 177)(166, 181)(167, 180)(168, 176)(169, 175)(170, 182)(173, 178)(174, 187)(179, 191)(183, 193)(184, 190)(185, 189)(186, 194)(188, 199)(192, 203)(195, 205)(196, 202)(197, 201)(198, 206)(200, 211)(204, 215)(207, 212)(208, 214)(209, 213)(210, 216)(217, 219)(218, 222)(220, 227)(221, 226)(223, 232)(224, 231)(225, 235)(228, 239)(229, 238)(230, 242)(233, 246)(234, 245)(236, 251)(237, 250)(240, 255)(241, 254)(243, 258)(244, 253)(247, 260)(248, 249)(252, 264)(256, 267)(257, 266)(259, 270)(261, 272)(262, 263)(265, 276)(268, 279)(269, 278)(271, 282)(273, 284)(274, 275)(277, 285)(280, 283)(281, 288)(286, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^72 ) }
Outer automorphisms :: reflexible
Dual of E24.1685
Graph:: simple bipartite
	v = 74 e = 144 f = 24
	degree seq :: [ 2^72, 72^2 ]

E24.1685 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 36})
Quotient :: loop^2
Aut^+ = D72 (small group id <72, 6>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * 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, 73, 145, 217, 4, 76, 148, 220, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 11, 83, 155, 227)(6, 78, 150, 222, 13, 85, 157, 229, 14, 86, 158, 230)(9, 81, 153, 225, 16, 88, 160, 232, 17, 89, 161, 233)(12, 84, 156, 228, 19, 91, 163, 235, 20, 92, 164, 236)(15, 87, 159, 231, 22, 94, 166, 238, 23, 95, 167, 239)(18, 90, 162, 234, 25, 97, 169, 241, 26, 98, 170, 242)(21, 93, 165, 237, 28, 100, 172, 244, 29, 101, 173, 245)(24, 96, 168, 240, 31, 103, 175, 247, 32, 104, 176, 248)(27, 99, 171, 243, 34, 106, 178, 250, 35, 107, 179, 251)(30, 102, 174, 246, 37, 109, 181, 253, 38, 110, 182, 254)(33, 105, 177, 249, 40, 112, 184, 256, 41, 113, 185, 257)(36, 108, 180, 252, 43, 115, 187, 259, 44, 116, 188, 260)(39, 111, 183, 255, 46, 118, 190, 262, 47, 119, 191, 263)(42, 114, 186, 258, 49, 121, 193, 265, 50, 122, 194, 266)(45, 117, 189, 261, 52, 124, 196, 268, 53, 125, 197, 269)(48, 120, 192, 264, 55, 127, 199, 271, 56, 128, 200, 272)(51, 123, 195, 267, 58, 130, 202, 274, 59, 131, 203, 275)(54, 126, 198, 270, 61, 133, 205, 277, 62, 134, 206, 278)(57, 129, 201, 273, 64, 136, 208, 280, 65, 137, 209, 281)(60, 132, 204, 276, 67, 139, 211, 283, 68, 140, 212, 284)(63, 135, 207, 279, 70, 142, 214, 286, 71, 143, 215, 287)(66, 138, 210, 282, 69, 141, 213, 285, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 81)(4, 80)(5, 79)(6, 84)(7, 77)(8, 76)(9, 75)(10, 89)(11, 88)(12, 78)(13, 92)(14, 91)(15, 93)(16, 83)(17, 82)(18, 96)(19, 86)(20, 85)(21, 87)(22, 101)(23, 100)(24, 90)(25, 104)(26, 103)(27, 105)(28, 95)(29, 94)(30, 108)(31, 98)(32, 97)(33, 99)(34, 113)(35, 112)(36, 102)(37, 116)(38, 115)(39, 117)(40, 107)(41, 106)(42, 120)(43, 110)(44, 109)(45, 111)(46, 125)(47, 124)(48, 114)(49, 128)(50, 127)(51, 129)(52, 119)(53, 118)(54, 132)(55, 122)(56, 121)(57, 123)(58, 137)(59, 136)(60, 126)(61, 140)(62, 139)(63, 141)(64, 131)(65, 130)(66, 142)(67, 134)(68, 133)(69, 135)(70, 138)(71, 144)(72, 143)(145, 219)(146, 222)(147, 217)(148, 227)(149, 226)(150, 218)(151, 230)(152, 229)(153, 231)(154, 221)(155, 220)(156, 234)(157, 224)(158, 223)(159, 225)(160, 239)(161, 238)(162, 228)(163, 242)(164, 241)(165, 243)(166, 233)(167, 232)(168, 246)(169, 236)(170, 235)(171, 237)(172, 251)(173, 250)(174, 240)(175, 254)(176, 253)(177, 255)(178, 245)(179, 244)(180, 258)(181, 248)(182, 247)(183, 249)(184, 263)(185, 262)(186, 252)(187, 266)(188, 265)(189, 267)(190, 257)(191, 256)(192, 270)(193, 260)(194, 259)(195, 261)(196, 275)(197, 274)(198, 264)(199, 278)(200, 277)(201, 279)(202, 269)(203, 268)(204, 282)(205, 272)(206, 271)(207, 273)(208, 287)(209, 286)(210, 276)(211, 288)(212, 285)(213, 284)(214, 281)(215, 280)(216, 283)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.1684
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 74
	degree seq :: [ 12^24 ]

E24.1686 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 36})
Quotient :: loop^2
Aut^+ = D72 (small group id <72, 6>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^3, Y2 * Y1 * Y3^10 * Y2 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 12, 84, 156, 228, 24, 96, 168, 240, 40, 112, 184, 256, 52, 124, 196, 268, 64, 136, 208, 280, 66, 138, 210, 282, 54, 126, 198, 270, 42, 114, 186, 258, 26, 98, 170, 242, 37, 109, 181, 253, 21, 93, 165, 237, 9, 81, 153, 225, 20, 92, 164, 236, 36, 108, 180, 252, 49, 121, 193, 265, 61, 133, 205, 277, 68, 140, 212, 284, 56, 128, 200, 272, 44, 116, 188, 260, 30, 102, 174, 246, 16, 88, 160, 232, 6, 78, 150, 222, 15, 87, 159, 231, 29, 101, 173, 245, 33, 105, 177, 249, 47, 119, 191, 263, 59, 131, 203, 275, 71, 143, 215, 287, 65, 137, 209, 281, 53, 125, 197, 269, 41, 113, 185, 257, 25, 97, 169, 241, 13, 85, 157, 229, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 17, 89, 161, 233, 31, 103, 175, 247, 45, 117, 189, 261, 57, 129, 201, 273, 69, 141, 213, 285, 60, 132, 204, 276, 48, 120, 192, 264, 35, 107, 179, 251, 19, 91, 163, 235, 34, 106, 178, 250, 28, 100, 172, 244, 14, 86, 158, 230, 27, 99, 171, 243, 43, 115, 187, 259, 55, 127, 199, 271, 67, 139, 211, 283, 63, 135, 207, 279, 51, 123, 195, 267, 39, 111, 183, 255, 23, 95, 167, 239, 11, 83, 155, 227, 3, 75, 147, 219, 10, 82, 154, 226, 22, 94, 166, 238, 38, 110, 182, 254, 50, 122, 194, 266, 62, 134, 206, 278, 72, 144, 216, 288, 70, 142, 214, 286, 58, 130, 202, 274, 46, 118, 190, 262, 32, 104, 176, 248, 18, 90, 162, 234, 8, 80, 152, 224)
	L = (1, 74)(2, 73)(3, 81)(4, 80)(5, 79)(6, 86)(7, 77)(8, 76)(9, 75)(10, 93)(11, 92)(12, 90)(13, 89)(14, 78)(15, 100)(16, 99)(17, 85)(18, 84)(19, 105)(20, 83)(21, 82)(22, 109)(23, 108)(24, 104)(25, 103)(26, 110)(27, 88)(28, 87)(29, 106)(30, 115)(31, 97)(32, 96)(33, 91)(34, 101)(35, 119)(36, 95)(37, 94)(38, 98)(39, 121)(40, 118)(41, 117)(42, 122)(43, 102)(44, 127)(45, 113)(46, 112)(47, 107)(48, 131)(49, 111)(50, 114)(51, 133)(52, 130)(53, 129)(54, 134)(55, 116)(56, 139)(57, 125)(58, 124)(59, 120)(60, 143)(61, 123)(62, 126)(63, 140)(64, 142)(65, 141)(66, 144)(67, 128)(68, 135)(69, 137)(70, 136)(71, 132)(72, 138)(145, 219)(146, 222)(147, 217)(148, 227)(149, 226)(150, 218)(151, 232)(152, 231)(153, 235)(154, 221)(155, 220)(156, 239)(157, 238)(158, 242)(159, 224)(160, 223)(161, 246)(162, 245)(163, 225)(164, 251)(165, 250)(166, 229)(167, 228)(168, 255)(169, 254)(170, 230)(171, 258)(172, 253)(173, 234)(174, 233)(175, 260)(176, 249)(177, 248)(178, 237)(179, 236)(180, 264)(181, 244)(182, 241)(183, 240)(184, 267)(185, 266)(186, 243)(187, 270)(188, 247)(189, 272)(190, 263)(191, 262)(192, 252)(193, 276)(194, 257)(195, 256)(196, 279)(197, 278)(198, 259)(199, 282)(200, 261)(201, 284)(202, 275)(203, 274)(204, 265)(205, 285)(206, 269)(207, 268)(208, 283)(209, 288)(210, 271)(211, 280)(212, 273)(213, 277)(214, 287)(215, 286)(216, 281)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1683
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 144 f = 96
	degree seq :: [ 144^2 ]

E24.1687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 36})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^12 * 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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 21, 93)(12, 84, 20, 92)(13, 85, 22, 94)(14, 86, 18, 90)(15, 87, 17, 89)(16, 88, 19, 91)(23, 95, 33, 105)(24, 96, 32, 104)(25, 97, 34, 106)(26, 98, 30, 102)(27, 99, 29, 101)(28, 100, 31, 103)(35, 107, 45, 117)(36, 108, 44, 116)(37, 109, 46, 118)(38, 110, 42, 114)(39, 111, 41, 113)(40, 112, 43, 115)(47, 119, 57, 129)(48, 120, 56, 128)(49, 121, 58, 130)(50, 122, 54, 126)(51, 123, 53, 125)(52, 124, 55, 127)(59, 131, 69, 141)(60, 132, 68, 140)(61, 133, 70, 142)(62, 134, 66, 138)(63, 135, 65, 137)(64, 136, 67, 139)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 167, 239, 170, 242)(160, 232, 168, 240, 171, 243)(163, 235, 173, 245, 176, 248)(166, 238, 174, 246, 177, 249)(169, 241, 179, 251, 182, 254)(172, 244, 180, 252, 183, 255)(175, 247, 185, 257, 188, 260)(178, 250, 186, 258, 189, 261)(181, 253, 191, 263, 194, 266)(184, 256, 192, 264, 195, 267)(187, 259, 197, 269, 200, 272)(190, 262, 198, 270, 201, 273)(193, 265, 203, 275, 206, 278)(196, 268, 204, 276, 207, 279)(199, 271, 209, 281, 212, 284)(202, 274, 210, 282, 213, 285)(205, 277, 215, 287, 208, 280)(211, 283, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 155)(4, 157)(5, 158)(6, 145)(7, 161)(8, 163)(9, 164)(10, 146)(11, 167)(12, 147)(13, 169)(14, 170)(15, 149)(16, 150)(17, 173)(18, 151)(19, 175)(20, 176)(21, 153)(22, 154)(23, 179)(24, 156)(25, 181)(26, 182)(27, 159)(28, 160)(29, 185)(30, 162)(31, 187)(32, 188)(33, 165)(34, 166)(35, 191)(36, 168)(37, 193)(38, 194)(39, 171)(40, 172)(41, 197)(42, 174)(43, 199)(44, 200)(45, 177)(46, 178)(47, 203)(48, 180)(49, 205)(50, 206)(51, 183)(52, 184)(53, 209)(54, 186)(55, 211)(56, 212)(57, 189)(58, 190)(59, 215)(60, 192)(61, 204)(62, 208)(63, 195)(64, 196)(65, 216)(66, 198)(67, 210)(68, 214)(69, 201)(70, 202)(71, 207)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.1689
Graph:: simple bipartite
	v = 60 e = 144 f = 38
	degree seq :: [ 4^36, 6^24 ]

E24.1688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 36})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2 * Y1)^2, Y3^12 * 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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 21, 93)(12, 84, 20, 92)(13, 85, 22, 94)(14, 86, 18, 90)(15, 87, 17, 89)(16, 88, 19, 91)(23, 95, 33, 105)(24, 96, 32, 104)(25, 97, 34, 106)(26, 98, 30, 102)(27, 99, 29, 101)(28, 100, 31, 103)(35, 107, 45, 117)(36, 108, 44, 116)(37, 109, 46, 118)(38, 110, 42, 114)(39, 111, 41, 113)(40, 112, 43, 115)(47, 119, 57, 129)(48, 120, 56, 128)(49, 121, 58, 130)(50, 122, 54, 126)(51, 123, 53, 125)(52, 124, 55, 127)(59, 131, 69, 141)(60, 132, 68, 140)(61, 133, 70, 142)(62, 134, 66, 138)(63, 135, 65, 137)(64, 136, 67, 139)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 167, 239, 170, 242)(160, 232, 168, 240, 171, 243)(163, 235, 173, 245, 176, 248)(166, 238, 174, 246, 177, 249)(169, 241, 179, 251, 182, 254)(172, 244, 180, 252, 183, 255)(175, 247, 185, 257, 188, 260)(178, 250, 186, 258, 189, 261)(181, 253, 191, 263, 194, 266)(184, 256, 192, 264, 195, 267)(187, 259, 197, 269, 200, 272)(190, 262, 198, 270, 201, 273)(193, 265, 203, 275, 206, 278)(196, 268, 204, 276, 207, 279)(199, 271, 209, 281, 212, 284)(202, 274, 210, 282, 213, 285)(205, 277, 208, 280, 215, 287)(211, 283, 214, 286, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 157)(5, 158)(6, 145)(7, 161)(8, 163)(9, 164)(10, 146)(11, 167)(12, 147)(13, 169)(14, 170)(15, 149)(16, 150)(17, 173)(18, 151)(19, 175)(20, 176)(21, 153)(22, 154)(23, 179)(24, 156)(25, 181)(26, 182)(27, 159)(28, 160)(29, 185)(30, 162)(31, 187)(32, 188)(33, 165)(34, 166)(35, 191)(36, 168)(37, 193)(38, 194)(39, 171)(40, 172)(41, 197)(42, 174)(43, 199)(44, 200)(45, 177)(46, 178)(47, 203)(48, 180)(49, 205)(50, 206)(51, 183)(52, 184)(53, 209)(54, 186)(55, 211)(56, 212)(57, 189)(58, 190)(59, 208)(60, 192)(61, 207)(62, 215)(63, 195)(64, 196)(65, 214)(66, 198)(67, 213)(68, 216)(69, 201)(70, 202)(71, 204)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.1690
Graph:: simple bipartite
	v = 60 e = 144 f = 38
	degree seq :: [ 4^36, 6^24 ]

E24.1689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 36})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^8 * Y1^-4, Y1^36 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 35, 107, 49, 121, 61, 133, 58, 130, 48, 120, 33, 105, 14, 86, 25, 97, 17, 89, 6, 78, 10, 82, 22, 94, 37, 109, 51, 123, 63, 135, 59, 131, 46, 118, 34, 106, 15, 87, 4, 76, 9, 81, 21, 93, 18, 90, 26, 98, 40, 112, 53, 125, 65, 137, 60, 132, 47, 119, 32, 104, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 43, 115, 55, 127, 67, 139, 72, 144, 66, 138, 54, 126, 41, 113, 30, 102, 39, 111, 24, 96, 13, 85, 29, 101, 44, 116, 56, 128, 68, 140, 71, 143, 64, 136, 52, 124, 38, 110, 23, 95, 12, 84, 28, 100, 42, 114, 31, 103, 45, 117, 57, 129, 69, 141, 70, 142, 62, 134, 50, 122, 36, 108, 20, 92, 8, 80)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 168, 240)(154, 226, 167, 239)(158, 230, 175, 247)(159, 231, 173, 245)(160, 232, 171, 243)(161, 233, 172, 244)(162, 234, 174, 246)(163, 235, 180, 252)(165, 237, 183, 255)(166, 238, 182, 254)(169, 241, 186, 258)(170, 242, 185, 257)(176, 248, 187, 259)(177, 249, 189, 261)(178, 250, 188, 260)(179, 251, 194, 266)(181, 253, 196, 268)(184, 256, 198, 270)(190, 262, 200, 272)(191, 263, 199, 271)(192, 264, 201, 273)(193, 265, 206, 278)(195, 267, 208, 280)(197, 269, 210, 282)(202, 274, 213, 285)(203, 275, 212, 284)(204, 276, 211, 283)(205, 277, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 159)(6, 145)(7, 165)(8, 167)(9, 169)(10, 146)(11, 172)(12, 174)(13, 147)(14, 176)(15, 177)(16, 178)(17, 149)(18, 150)(19, 162)(20, 182)(21, 161)(22, 151)(23, 185)(24, 152)(25, 160)(26, 154)(27, 186)(28, 183)(29, 155)(30, 180)(31, 157)(32, 190)(33, 191)(34, 192)(35, 170)(36, 196)(37, 163)(38, 198)(39, 164)(40, 166)(41, 194)(42, 168)(43, 175)(44, 171)(45, 173)(46, 202)(47, 203)(48, 204)(49, 184)(50, 208)(51, 179)(52, 210)(53, 181)(54, 206)(55, 189)(56, 187)(57, 188)(58, 209)(59, 205)(60, 207)(61, 197)(62, 215)(63, 193)(64, 216)(65, 195)(66, 214)(67, 201)(68, 199)(69, 200)(70, 212)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E24.1687
Graph:: bipartite
	v = 38 e = 144 f = 60
	degree seq :: [ 4^36, 72^2 ]

E24.1690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 36})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^7 * Y1^-5, Y1^36, Y3^-46 * Y1^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 35, 107, 49, 121, 61, 133, 59, 131, 46, 118, 34, 106, 15, 87, 4, 76, 9, 81, 21, 93, 18, 90, 26, 98, 40, 112, 53, 125, 65, 137, 58, 130, 48, 120, 33, 105, 14, 86, 25, 97, 17, 89, 6, 78, 10, 82, 22, 94, 37, 109, 51, 123, 63, 135, 60, 132, 47, 119, 32, 104, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 43, 115, 55, 127, 67, 139, 71, 143, 64, 136, 52, 124, 38, 110, 23, 95, 12, 84, 28, 100, 42, 114, 31, 103, 45, 117, 57, 129, 69, 141, 72, 144, 66, 138, 54, 126, 41, 113, 30, 102, 39, 111, 24, 96, 13, 85, 29, 101, 44, 116, 56, 128, 68, 140, 70, 142, 62, 134, 50, 122, 36, 108, 20, 92, 8, 80)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 168, 240)(154, 226, 167, 239)(158, 230, 175, 247)(159, 231, 173, 245)(160, 232, 171, 243)(161, 233, 172, 244)(162, 234, 174, 246)(163, 235, 180, 252)(165, 237, 183, 255)(166, 238, 182, 254)(169, 241, 186, 258)(170, 242, 185, 257)(176, 248, 187, 259)(177, 249, 189, 261)(178, 250, 188, 260)(179, 251, 194, 266)(181, 253, 196, 268)(184, 256, 198, 270)(190, 262, 200, 272)(191, 263, 199, 271)(192, 264, 201, 273)(193, 265, 206, 278)(195, 267, 208, 280)(197, 269, 210, 282)(202, 274, 213, 285)(203, 275, 212, 284)(204, 276, 211, 283)(205, 277, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 159)(6, 145)(7, 165)(8, 167)(9, 169)(10, 146)(11, 172)(12, 174)(13, 147)(14, 176)(15, 177)(16, 178)(17, 149)(18, 150)(19, 162)(20, 182)(21, 161)(22, 151)(23, 185)(24, 152)(25, 160)(26, 154)(27, 186)(28, 183)(29, 155)(30, 180)(31, 157)(32, 190)(33, 191)(34, 192)(35, 170)(36, 196)(37, 163)(38, 198)(39, 164)(40, 166)(41, 194)(42, 168)(43, 175)(44, 171)(45, 173)(46, 202)(47, 203)(48, 204)(49, 184)(50, 208)(51, 179)(52, 210)(53, 181)(54, 206)(55, 189)(56, 187)(57, 188)(58, 207)(59, 209)(60, 205)(61, 197)(62, 215)(63, 193)(64, 216)(65, 195)(66, 214)(67, 201)(68, 199)(69, 200)(70, 211)(71, 213)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E24.1688
Graph:: bipartite
	v = 38 e = 144 f = 60
	degree seq :: [ 4^36, 72^2 ]

E24.1691 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 72, 72})
Quotient :: edge
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1 * T2^24, (T1^-1 * T2^-1)^72 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 72, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(73, 74, 76)(75, 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, 132, 135)(131, 133, 136)(134, 138, 141)(137, 139, 142)(140, 143, 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) :: { ( 144^3 ), ( 144^72 ) }
Outer automorphisms :: reflexible
Dual of E24.1695
Transitivity :: ET+
Graph:: bipartite
	v = 25 e = 72 f = 1
	degree seq :: [ 3^24, 72 ]

E24.1692 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 72, 72})
Quotient :: edge
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^24, (T1^-1 * T2^-1)^72 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(73, 74, 76)(75, 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, 132, 135)(131, 133, 136)(134, 138, 141)(137, 139, 142)(140, 144, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 144^3 ), ( 144^72 ) }
Outer automorphisms :: reflexible
Dual of E24.1694
Transitivity :: ET+
Graph:: bipartite
	v = 25 e = 72 f = 1
	degree seq :: [ 3^24, 72 ]

E24.1693 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 72, 72})
Quotient :: edge
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-3 * T1^-3, T2^13 * T1^-11, T2^7 * T1^55, T1^72, T1^118 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 61, 67, 71, 64, 60, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 62, 68, 72, 65, 58, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 63, 69, 70, 66, 59, 52, 48, 41, 34, 30, 23, 14, 13, 5)(73, 74, 78, 86, 94, 100, 106, 112, 118, 124, 130, 136, 142, 140, 133, 129, 122, 115, 111, 104, 97, 93, 82, 75, 79, 87, 85, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 139, 135, 128, 121, 117, 110, 103, 99, 92, 81, 89, 84, 77, 80, 88, 95, 101, 107, 113, 119, 125, 131, 137, 143, 141, 134, 127, 123, 116, 109, 105, 98, 91, 83, 76)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6^72 ) }
Outer automorphisms :: reflexible
Dual of E24.1696
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 72 f = 24
	degree seq :: [ 72^2 ]

E24.1694 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 72, 72})
Quotient :: loop
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1 * T2^24, (T1^-1 * T2^-1)^72 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 8, 80, 14, 86, 20, 92, 26, 98, 32, 104, 38, 110, 44, 116, 50, 122, 56, 128, 62, 134, 68, 140, 70, 142, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82, 4, 76, 9, 81, 15, 87, 21, 93, 27, 99, 33, 105, 39, 111, 45, 117, 51, 123, 57, 129, 63, 135, 69, 141, 72, 144, 67, 139, 61, 133, 55, 127, 49, 121, 43, 115, 37, 109, 31, 103, 25, 97, 19, 91, 13, 85, 7, 79, 2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 71, 143, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83, 5, 77)
	L = (1, 74)(2, 76)(3, 78)(4, 73)(5, 79)(6, 81)(7, 82)(8, 84)(9, 75)(10, 77)(11, 85)(12, 87)(13, 88)(14, 90)(15, 80)(16, 83)(17, 91)(18, 93)(19, 94)(20, 96)(21, 86)(22, 89)(23, 97)(24, 99)(25, 100)(26, 102)(27, 92)(28, 95)(29, 103)(30, 105)(31, 106)(32, 108)(33, 98)(34, 101)(35, 109)(36, 111)(37, 112)(38, 114)(39, 104)(40, 107)(41, 115)(42, 117)(43, 118)(44, 120)(45, 110)(46, 113)(47, 121)(48, 123)(49, 124)(50, 126)(51, 116)(52, 119)(53, 127)(54, 129)(55, 130)(56, 132)(57, 122)(58, 125)(59, 133)(60, 135)(61, 136)(62, 138)(63, 128)(64, 131)(65, 139)(66, 141)(67, 142)(68, 143)(69, 134)(70, 137)(71, 144)(72, 140)
	local type(s) :: { ( 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.1692
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 72 f = 25
	degree seq :: [ 144 ]

E24.1695 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 72, 72})
Quotient :: loop
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^24, (T1^-1 * T2^-1)^72 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 8, 80, 14, 86, 20, 92, 26, 98, 32, 104, 38, 110, 44, 116, 50, 122, 56, 128, 62, 134, 68, 140, 67, 139, 61, 133, 55, 127, 49, 121, 43, 115, 37, 109, 31, 103, 25, 97, 19, 91, 13, 85, 7, 79, 2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 72, 144, 70, 142, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82, 4, 76, 9, 81, 15, 87, 21, 93, 27, 99, 33, 105, 39, 111, 45, 117, 51, 123, 57, 129, 63, 135, 69, 141, 71, 143, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83, 5, 77)
	L = (1, 74)(2, 76)(3, 78)(4, 73)(5, 79)(6, 81)(7, 82)(8, 84)(9, 75)(10, 77)(11, 85)(12, 87)(13, 88)(14, 90)(15, 80)(16, 83)(17, 91)(18, 93)(19, 94)(20, 96)(21, 86)(22, 89)(23, 97)(24, 99)(25, 100)(26, 102)(27, 92)(28, 95)(29, 103)(30, 105)(31, 106)(32, 108)(33, 98)(34, 101)(35, 109)(36, 111)(37, 112)(38, 114)(39, 104)(40, 107)(41, 115)(42, 117)(43, 118)(44, 120)(45, 110)(46, 113)(47, 121)(48, 123)(49, 124)(50, 126)(51, 116)(52, 119)(53, 127)(54, 129)(55, 130)(56, 132)(57, 122)(58, 125)(59, 133)(60, 135)(61, 136)(62, 138)(63, 128)(64, 131)(65, 139)(66, 141)(67, 142)(68, 144)(69, 134)(70, 137)(71, 140)(72, 143)
	local type(s) :: { ( 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72, 3, 72 ) }
Outer automorphisms :: reflexible
Dual of E24.1691
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 72 f = 25
	degree seq :: [ 144 ]

E24.1696 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 72, 72})
Quotient :: loop
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2 * T1^24, (T1^-1 * T2^-1)^72 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 5, 77)(2, 74, 7, 79, 8, 80)(4, 76, 9, 81, 11, 83)(6, 78, 13, 85, 14, 86)(10, 82, 15, 87, 17, 89)(12, 84, 19, 91, 20, 92)(16, 88, 21, 93, 23, 95)(18, 90, 25, 97, 26, 98)(22, 94, 27, 99, 29, 101)(24, 96, 31, 103, 32, 104)(28, 100, 33, 105, 35, 107)(30, 102, 37, 109, 38, 110)(34, 106, 39, 111, 41, 113)(36, 108, 43, 115, 44, 116)(40, 112, 45, 117, 47, 119)(42, 114, 49, 121, 50, 122)(46, 118, 51, 123, 53, 125)(48, 120, 55, 127, 56, 128)(52, 124, 57, 129, 59, 131)(54, 126, 61, 133, 62, 134)(58, 130, 63, 135, 65, 137)(60, 132, 67, 139, 68, 140)(64, 136, 69, 141, 71, 143)(66, 138, 70, 142, 72, 144)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 84)(7, 85)(8, 86)(9, 75)(10, 76)(11, 77)(12, 90)(13, 91)(14, 92)(15, 81)(16, 82)(17, 83)(18, 96)(19, 97)(20, 98)(21, 87)(22, 88)(23, 89)(24, 102)(25, 103)(26, 104)(27, 93)(28, 94)(29, 95)(30, 108)(31, 109)(32, 110)(33, 99)(34, 100)(35, 101)(36, 114)(37, 115)(38, 116)(39, 105)(40, 106)(41, 107)(42, 120)(43, 121)(44, 122)(45, 111)(46, 112)(47, 113)(48, 126)(49, 127)(50, 128)(51, 117)(52, 118)(53, 119)(54, 132)(55, 133)(56, 134)(57, 123)(58, 124)(59, 125)(60, 138)(61, 139)(62, 140)(63, 129)(64, 130)(65, 131)(66, 143)(67, 142)(68, 144)(69, 135)(70, 136)(71, 137)(72, 141)
	local type(s) :: { ( 72^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1693
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 72 f = 2
	degree seq :: [ 6^24 ]

E24.1697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^-24 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 6, 78, 9, 81)(5, 77, 7, 79, 10, 82)(8, 80, 12, 84, 15, 87)(11, 83, 13, 85, 16, 88)(14, 86, 18, 90, 21, 93)(17, 89, 19, 91, 22, 94)(20, 92, 24, 96, 27, 99)(23, 95, 25, 97, 28, 100)(26, 98, 30, 102, 33, 105)(29, 101, 31, 103, 34, 106)(32, 104, 36, 108, 39, 111)(35, 107, 37, 109, 40, 112)(38, 110, 42, 114, 45, 117)(41, 113, 43, 115, 46, 118)(44, 116, 48, 120, 51, 123)(47, 119, 49, 121, 52, 124)(50, 122, 54, 126, 57, 129)(53, 125, 55, 127, 58, 130)(56, 128, 60, 132, 63, 135)(59, 131, 61, 133, 64, 136)(62, 134, 66, 138, 69, 141)(65, 137, 67, 139, 70, 142)(68, 140, 72, 144, 71, 143)(145, 217, 147, 219, 152, 224, 158, 230, 164, 236, 170, 242, 176, 248, 182, 254, 188, 260, 194, 266, 200, 272, 206, 278, 212, 284, 211, 283, 205, 277, 199, 271, 193, 265, 187, 259, 181, 253, 175, 247, 169, 241, 163, 235, 157, 229, 151, 223, 146, 218, 150, 222, 156, 228, 162, 234, 168, 240, 174, 246, 180, 252, 186, 258, 192, 264, 198, 270, 204, 276, 210, 282, 216, 288, 214, 286, 208, 280, 202, 274, 196, 268, 190, 262, 184, 256, 178, 250, 172, 244, 166, 238, 160, 232, 154, 226, 148, 220, 153, 225, 159, 231, 165, 237, 171, 243, 177, 249, 183, 255, 189, 261, 195, 267, 201, 273, 207, 279, 213, 285, 215, 287, 209, 281, 203, 275, 197, 269, 191, 263, 185, 257, 179, 251, 173, 245, 167, 239, 161, 233, 155, 227, 149, 221)
	L = (1, 148)(2, 145)(3, 153)(4, 146)(5, 154)(6, 147)(7, 149)(8, 159)(9, 150)(10, 151)(11, 160)(12, 152)(13, 155)(14, 165)(15, 156)(16, 157)(17, 166)(18, 158)(19, 161)(20, 171)(21, 162)(22, 163)(23, 172)(24, 164)(25, 167)(26, 177)(27, 168)(28, 169)(29, 178)(30, 170)(31, 173)(32, 183)(33, 174)(34, 175)(35, 184)(36, 176)(37, 179)(38, 189)(39, 180)(40, 181)(41, 190)(42, 182)(43, 185)(44, 195)(45, 186)(46, 187)(47, 196)(48, 188)(49, 191)(50, 201)(51, 192)(52, 193)(53, 202)(54, 194)(55, 197)(56, 207)(57, 198)(58, 199)(59, 208)(60, 200)(61, 203)(62, 213)(63, 204)(64, 205)(65, 214)(66, 206)(67, 209)(68, 215)(69, 210)(70, 211)(71, 216)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 144, 2, 144, 2, 144 ), ( 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144 ) }
Outer automorphisms :: reflexible
Dual of E24.1701
Graph:: bipartite
	v = 25 e = 144 f = 73
	degree seq :: [ 6^24, 144 ]

E24.1698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, Y1^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^24 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 6, 78, 9, 81)(5, 77, 7, 79, 10, 82)(8, 80, 12, 84, 15, 87)(11, 83, 13, 85, 16, 88)(14, 86, 18, 90, 21, 93)(17, 89, 19, 91, 22, 94)(20, 92, 24, 96, 27, 99)(23, 95, 25, 97, 28, 100)(26, 98, 30, 102, 33, 105)(29, 101, 31, 103, 34, 106)(32, 104, 36, 108, 39, 111)(35, 107, 37, 109, 40, 112)(38, 110, 42, 114, 45, 117)(41, 113, 43, 115, 46, 118)(44, 116, 48, 120, 51, 123)(47, 119, 49, 121, 52, 124)(50, 122, 54, 126, 57, 129)(53, 125, 55, 127, 58, 130)(56, 128, 60, 132, 63, 135)(59, 131, 61, 133, 64, 136)(62, 134, 66, 138, 69, 141)(65, 137, 67, 139, 70, 142)(68, 140, 71, 143, 72, 144)(145, 217, 147, 219, 152, 224, 158, 230, 164, 236, 170, 242, 176, 248, 182, 254, 188, 260, 194, 266, 200, 272, 206, 278, 212, 284, 214, 286, 208, 280, 202, 274, 196, 268, 190, 262, 184, 256, 178, 250, 172, 244, 166, 238, 160, 232, 154, 226, 148, 220, 153, 225, 159, 231, 165, 237, 171, 243, 177, 249, 183, 255, 189, 261, 195, 267, 201, 273, 207, 279, 213, 285, 216, 288, 211, 283, 205, 277, 199, 271, 193, 265, 187, 259, 181, 253, 175, 247, 169, 241, 163, 235, 157, 229, 151, 223, 146, 218, 150, 222, 156, 228, 162, 234, 168, 240, 174, 246, 180, 252, 186, 258, 192, 264, 198, 270, 204, 276, 210, 282, 215, 287, 209, 281, 203, 275, 197, 269, 191, 263, 185, 257, 179, 251, 173, 245, 167, 239, 161, 233, 155, 227, 149, 221)
	L = (1, 148)(2, 145)(3, 153)(4, 146)(5, 154)(6, 147)(7, 149)(8, 159)(9, 150)(10, 151)(11, 160)(12, 152)(13, 155)(14, 165)(15, 156)(16, 157)(17, 166)(18, 158)(19, 161)(20, 171)(21, 162)(22, 163)(23, 172)(24, 164)(25, 167)(26, 177)(27, 168)(28, 169)(29, 178)(30, 170)(31, 173)(32, 183)(33, 174)(34, 175)(35, 184)(36, 176)(37, 179)(38, 189)(39, 180)(40, 181)(41, 190)(42, 182)(43, 185)(44, 195)(45, 186)(46, 187)(47, 196)(48, 188)(49, 191)(50, 201)(51, 192)(52, 193)(53, 202)(54, 194)(55, 197)(56, 207)(57, 198)(58, 199)(59, 208)(60, 200)(61, 203)(62, 213)(63, 204)(64, 205)(65, 214)(66, 206)(67, 209)(68, 216)(69, 210)(70, 211)(71, 212)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 144, 2, 144, 2, 144 ), ( 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144 ) }
Outer automorphisms :: reflexible
Dual of E24.1702
Graph:: bipartite
	v = 25 e = 144 f = 73
	degree seq :: [ 6^24, 144 ]

E24.1699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), Y2 * Y1 * Y2 * Y1^2 * Y2, (Y3^-1 * Y1^-1)^3, Y2 * Y1 * Y2^-10 * Y1^-10, Y2^10 * Y1^-1 * Y2 * Y1^-12, Y2^33 * Y1^9 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 22, 94, 28, 100, 34, 106, 40, 112, 46, 118, 52, 124, 58, 130, 64, 136, 70, 142, 67, 139, 63, 135, 56, 128, 49, 121, 45, 117, 38, 110, 31, 103, 27, 99, 20, 92, 9, 81, 17, 89, 12, 84, 5, 77, 8, 80, 16, 88, 23, 95, 29, 101, 35, 107, 41, 113, 47, 119, 53, 125, 59, 131, 65, 137, 71, 143, 68, 140, 61, 133, 57, 129, 50, 122, 43, 115, 39, 111, 32, 104, 25, 97, 21, 93, 10, 82, 3, 75, 7, 79, 15, 87, 13, 85, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 72, 144, 69, 141, 62, 134, 55, 127, 51, 123, 44, 116, 37, 109, 33, 105, 26, 98, 19, 91, 11, 83, 4, 76)(145, 217, 147, 219, 153, 225, 163, 235, 169, 241, 175, 247, 181, 253, 187, 259, 193, 265, 199, 271, 205, 277, 211, 283, 216, 288, 209, 281, 202, 274, 198, 270, 191, 263, 184, 256, 180, 252, 173, 245, 166, 238, 162, 234, 152, 224, 146, 218, 151, 223, 161, 233, 155, 227, 165, 237, 171, 243, 177, 249, 183, 255, 189, 261, 195, 267, 201, 273, 207, 279, 213, 285, 215, 287, 208, 280, 204, 276, 197, 269, 190, 262, 186, 258, 179, 251, 172, 244, 168, 240, 160, 232, 150, 222, 159, 231, 156, 228, 148, 220, 154, 226, 164, 236, 170, 242, 176, 248, 182, 254, 188, 260, 194, 266, 200, 272, 206, 278, 212, 284, 214, 286, 210, 282, 203, 275, 196, 268, 192, 264, 185, 257, 178, 250, 174, 246, 167, 239, 158, 230, 157, 229, 149, 221)
	L = (1, 147)(2, 151)(3, 153)(4, 154)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 164)(11, 165)(12, 148)(13, 149)(14, 157)(15, 156)(16, 150)(17, 155)(18, 152)(19, 169)(20, 170)(21, 171)(22, 162)(23, 158)(24, 160)(25, 175)(26, 176)(27, 177)(28, 168)(29, 166)(30, 167)(31, 181)(32, 182)(33, 183)(34, 174)(35, 172)(36, 173)(37, 187)(38, 188)(39, 189)(40, 180)(41, 178)(42, 179)(43, 193)(44, 194)(45, 195)(46, 186)(47, 184)(48, 185)(49, 199)(50, 200)(51, 201)(52, 192)(53, 190)(54, 191)(55, 205)(56, 206)(57, 207)(58, 198)(59, 196)(60, 197)(61, 211)(62, 212)(63, 213)(64, 204)(65, 202)(66, 203)(67, 216)(68, 214)(69, 215)(70, 210)(71, 208)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E24.1700
Graph:: bipartite
	v = 2 e = 144 f = 96
	degree seq :: [ 144^2 ]

E24.1700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2 * Y3^24, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3^-1 * Y1^-1)^72 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 148, 220)(147, 219, 150, 222, 153, 225)(149, 221, 151, 223, 154, 226)(152, 224, 156, 228, 159, 231)(155, 227, 157, 229, 160, 232)(158, 230, 162, 234, 165, 237)(161, 233, 163, 235, 166, 238)(164, 236, 168, 240, 171, 243)(167, 239, 169, 241, 172, 244)(170, 242, 174, 246, 177, 249)(173, 245, 175, 247, 178, 250)(176, 248, 180, 252, 183, 255)(179, 251, 181, 253, 184, 256)(182, 254, 186, 258, 189, 261)(185, 257, 187, 259, 190, 262)(188, 260, 192, 264, 195, 267)(191, 263, 193, 265, 196, 268)(194, 266, 198, 270, 201, 273)(197, 269, 199, 271, 202, 274)(200, 272, 204, 276, 207, 279)(203, 275, 205, 277, 208, 280)(206, 278, 210, 282, 213, 285)(209, 281, 211, 283, 214, 286)(212, 284, 215, 287, 216, 288)
	L = (1, 147)(2, 150)(3, 152)(4, 153)(5, 145)(6, 156)(7, 146)(8, 158)(9, 159)(10, 148)(11, 149)(12, 162)(13, 151)(14, 164)(15, 165)(16, 154)(17, 155)(18, 168)(19, 157)(20, 170)(21, 171)(22, 160)(23, 161)(24, 174)(25, 163)(26, 176)(27, 177)(28, 166)(29, 167)(30, 180)(31, 169)(32, 182)(33, 183)(34, 172)(35, 173)(36, 186)(37, 175)(38, 188)(39, 189)(40, 178)(41, 179)(42, 192)(43, 181)(44, 194)(45, 195)(46, 184)(47, 185)(48, 198)(49, 187)(50, 200)(51, 201)(52, 190)(53, 191)(54, 204)(55, 193)(56, 206)(57, 207)(58, 196)(59, 197)(60, 210)(61, 199)(62, 212)(63, 213)(64, 202)(65, 203)(66, 215)(67, 205)(68, 214)(69, 216)(70, 208)(71, 209)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 144, 144 ), ( 144^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1699
Graph:: simple bipartite
	v = 96 e = 144 f = 2
	degree seq :: [ 2^72, 6^24 ]

E24.1701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|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 * Y1^24, (Y1^-1 * Y3^-1)^72 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 71, 143, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83, 5, 77, 8, 80, 14, 86, 20, 92, 26, 98, 32, 104, 38, 110, 44, 116, 50, 122, 56, 128, 62, 134, 68, 140, 72, 144, 69, 141, 63, 135, 57, 129, 51, 123, 45, 117, 39, 111, 33, 105, 27, 99, 21, 93, 15, 87, 9, 81, 3, 75, 7, 79, 13, 85, 19, 91, 25, 97, 31, 103, 37, 109, 43, 115, 49, 121, 55, 127, 61, 133, 67, 139, 70, 142, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82, 4, 76)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 153)(5, 145)(6, 157)(7, 152)(8, 146)(9, 155)(10, 159)(11, 148)(12, 163)(13, 158)(14, 150)(15, 161)(16, 165)(17, 154)(18, 169)(19, 164)(20, 156)(21, 167)(22, 171)(23, 160)(24, 175)(25, 170)(26, 162)(27, 173)(28, 177)(29, 166)(30, 181)(31, 176)(32, 168)(33, 179)(34, 183)(35, 172)(36, 187)(37, 182)(38, 174)(39, 185)(40, 189)(41, 178)(42, 193)(43, 188)(44, 180)(45, 191)(46, 195)(47, 184)(48, 199)(49, 194)(50, 186)(51, 197)(52, 201)(53, 190)(54, 205)(55, 200)(56, 192)(57, 203)(58, 207)(59, 196)(60, 211)(61, 206)(62, 198)(63, 209)(64, 213)(65, 202)(66, 214)(67, 212)(68, 204)(69, 215)(70, 216)(71, 208)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 144 ), ( 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144 ) }
Outer automorphisms :: reflexible
Dual of E24.1697
Graph:: bipartite
	v = 73 e = 144 f = 25
	degree seq :: [ 2^72, 144 ]

E24.1702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|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 * Y1^24, (Y1^-1 * Y3^-1)^72 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 69, 141, 63, 135, 57, 129, 51, 123, 45, 117, 39, 111, 33, 105, 27, 99, 21, 93, 15, 87, 9, 81, 3, 75, 7, 79, 13, 85, 19, 91, 25, 97, 31, 103, 37, 109, 43, 115, 49, 121, 55, 127, 61, 133, 67, 139, 72, 144, 71, 143, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83, 5, 77, 8, 80, 14, 86, 20, 92, 26, 98, 32, 104, 38, 110, 44, 116, 50, 122, 56, 128, 62, 134, 68, 140, 70, 142, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82, 4, 76)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 153)(5, 145)(6, 157)(7, 152)(8, 146)(9, 155)(10, 159)(11, 148)(12, 163)(13, 158)(14, 150)(15, 161)(16, 165)(17, 154)(18, 169)(19, 164)(20, 156)(21, 167)(22, 171)(23, 160)(24, 175)(25, 170)(26, 162)(27, 173)(28, 177)(29, 166)(30, 181)(31, 176)(32, 168)(33, 179)(34, 183)(35, 172)(36, 187)(37, 182)(38, 174)(39, 185)(40, 189)(41, 178)(42, 193)(43, 188)(44, 180)(45, 191)(46, 195)(47, 184)(48, 199)(49, 194)(50, 186)(51, 197)(52, 201)(53, 190)(54, 205)(55, 200)(56, 192)(57, 203)(58, 207)(59, 196)(60, 211)(61, 206)(62, 198)(63, 209)(64, 213)(65, 202)(66, 216)(67, 212)(68, 204)(69, 215)(70, 210)(71, 208)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 144 ), ( 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144, 6, 144 ) }
Outer automorphisms :: reflexible
Dual of E24.1698
Graph:: bipartite
	v = 73 e = 144 f = 25
	degree seq :: [ 2^72, 144 ]

E24.1703 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 25, 75})
Quotient :: edge
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^25 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 73, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 74, 75, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(76, 77, 79)(78, 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, 127)(125, 129, 132)(128, 130, 133)(131, 135, 138)(134, 136, 139)(137, 141, 144)(140, 142, 145)(143, 147, 149)(146, 148, 150)
	L = (1, 76)(2, 77)(3, 78)(4, 79)(5, 80)(6, 81)(7, 82)(8, 83)(9, 84)(10, 85)(11, 86)(12, 87)(13, 88)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 95)(21, 96)(22, 97)(23, 98)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 104)(30, 105)(31, 106)(32, 107)(33, 108)(34, 109)(35, 110)(36, 111)(37, 112)(38, 113)(39, 114)(40, 115)(41, 116)(42, 117)(43, 118)(44, 119)(45, 120)(46, 121)(47, 122)(48, 123)(49, 124)(50, 125)(51, 126)(52, 127)(53, 128)(54, 129)(55, 130)(56, 131)(57, 132)(58, 133)(59, 134)(60, 135)(61, 136)(62, 137)(63, 138)(64, 139)(65, 140)(66, 141)(67, 142)(68, 143)(69, 144)(70, 145)(71, 146)(72, 147)(73, 148)(74, 149)(75, 150)
	local type(s) :: { ( 150^3 ), ( 150^25 ) }
Outer automorphisms :: reflexible
Dual of E24.1707
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 75 f = 1
	degree seq :: [ 3^25, 25^3 ]

E24.1704 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 25, 75})
Quotient :: edge
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^3, T1^-1 * T2^24, T1^9 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-10 * T1, T1^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 72, 65, 58, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 71, 64, 60, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 70, 66, 59, 52, 48, 41, 34, 30, 23, 14, 13, 5)(76, 77, 81, 89, 97, 103, 109, 115, 121, 127, 133, 139, 145, 148, 144, 137, 130, 126, 119, 112, 108, 101, 94, 86, 79)(78, 82, 90, 88, 93, 99, 105, 111, 117, 123, 129, 135, 141, 147, 150, 143, 136, 132, 125, 118, 114, 107, 100, 96, 85)(80, 83, 91, 98, 104, 110, 116, 122, 128, 134, 140, 146, 149, 142, 138, 131, 124, 120, 113, 106, 102, 95, 84, 92, 87)
	L = (1, 76)(2, 77)(3, 78)(4, 79)(5, 80)(6, 81)(7, 82)(8, 83)(9, 84)(10, 85)(11, 86)(12, 87)(13, 88)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 95)(21, 96)(22, 97)(23, 98)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 104)(30, 105)(31, 106)(32, 107)(33, 108)(34, 109)(35, 110)(36, 111)(37, 112)(38, 113)(39, 114)(40, 115)(41, 116)(42, 117)(43, 118)(44, 119)(45, 120)(46, 121)(47, 122)(48, 123)(49, 124)(50, 125)(51, 126)(52, 127)(53, 128)(54, 129)(55, 130)(56, 131)(57, 132)(58, 133)(59, 134)(60, 135)(61, 136)(62, 137)(63, 138)(64, 139)(65, 140)(66, 141)(67, 142)(68, 143)(69, 144)(70, 145)(71, 146)(72, 147)(73, 148)(74, 149)(75, 150)
	local type(s) :: { ( 6^25 ), ( 6^75 ) }
Outer automorphisms :: reflexible
Dual of E24.1708
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 75 f = 25
	degree seq :: [ 25^3, 75 ]

E24.1705 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 25, 75})
Quotient :: edge
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-1 * T1^-25, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 9, 11)(6, 13, 14)(10, 15, 17)(12, 19, 20)(16, 21, 23)(18, 25, 26)(22, 27, 29)(24, 31, 32)(28, 33, 35)(30, 37, 38)(34, 39, 41)(36, 43, 44)(40, 45, 47)(42, 49, 50)(46, 51, 53)(48, 55, 56)(52, 57, 59)(54, 61, 62)(58, 63, 65)(60, 67, 68)(64, 69, 71)(66, 73, 74)(70, 75, 72)(76, 77, 81, 87, 93, 99, 105, 111, 117, 123, 129, 135, 141, 147, 146, 140, 134, 128, 122, 116, 110, 104, 98, 92, 86, 80, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149, 150, 144, 138, 132, 126, 120, 114, 108, 102, 96, 90, 84, 78, 82, 88, 94, 100, 106, 112, 118, 124, 130, 136, 142, 148, 145, 139, 133, 127, 121, 115, 109, 103, 97, 91, 85, 79)
	L = (1, 76)(2, 77)(3, 78)(4, 79)(5, 80)(6, 81)(7, 82)(8, 83)(9, 84)(10, 85)(11, 86)(12, 87)(13, 88)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 95)(21, 96)(22, 97)(23, 98)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 104)(30, 105)(31, 106)(32, 107)(33, 108)(34, 109)(35, 110)(36, 111)(37, 112)(38, 113)(39, 114)(40, 115)(41, 116)(42, 117)(43, 118)(44, 119)(45, 120)(46, 121)(47, 122)(48, 123)(49, 124)(50, 125)(51, 126)(52, 127)(53, 128)(54, 129)(55, 130)(56, 131)(57, 132)(58, 133)(59, 134)(60, 135)(61, 136)(62, 137)(63, 138)(64, 139)(65, 140)(66, 141)(67, 142)(68, 143)(69, 144)(70, 145)(71, 146)(72, 147)(73, 148)(74, 149)(75, 150)
	local type(s) :: { ( 50^3 ), ( 50^75 ) }
Outer automorphisms :: reflexible
Dual of E24.1706
Transitivity :: ET+
Graph:: bipartite
	v = 26 e = 75 f = 3
	degree seq :: [ 3^25, 75 ]

E24.1706 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 25, 75})
Quotient :: loop
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^25 ]
Map:: non-degenerate
	R = (1, 76, 3, 78, 8, 83, 14, 89, 20, 95, 26, 101, 32, 107, 38, 113, 44, 119, 50, 125, 56, 131, 62, 137, 68, 143, 71, 146, 65, 140, 59, 134, 53, 128, 47, 122, 41, 116, 35, 110, 29, 104, 23, 98, 17, 92, 11, 86, 5, 80)(2, 77, 6, 81, 12, 87, 18, 93, 24, 99, 30, 105, 36, 111, 42, 117, 48, 123, 54, 129, 60, 135, 66, 141, 72, 147, 73, 148, 67, 142, 61, 136, 55, 130, 49, 124, 43, 118, 37, 112, 31, 106, 25, 100, 19, 94, 13, 88, 7, 82)(4, 79, 9, 84, 15, 90, 21, 96, 27, 102, 33, 108, 39, 114, 45, 120, 51, 126, 57, 132, 63, 138, 69, 144, 74, 149, 75, 150, 70, 145, 64, 139, 58, 133, 52, 127, 46, 121, 40, 115, 34, 109, 28, 103, 22, 97, 16, 91, 10, 85)
	L = (1, 77)(2, 79)(3, 81)(4, 76)(5, 82)(6, 84)(7, 85)(8, 87)(9, 78)(10, 80)(11, 88)(12, 90)(13, 91)(14, 93)(15, 83)(16, 86)(17, 94)(18, 96)(19, 97)(20, 99)(21, 89)(22, 92)(23, 100)(24, 102)(25, 103)(26, 105)(27, 95)(28, 98)(29, 106)(30, 108)(31, 109)(32, 111)(33, 101)(34, 104)(35, 112)(36, 114)(37, 115)(38, 117)(39, 107)(40, 110)(41, 118)(42, 120)(43, 121)(44, 123)(45, 113)(46, 116)(47, 124)(48, 126)(49, 127)(50, 129)(51, 119)(52, 122)(53, 130)(54, 132)(55, 133)(56, 135)(57, 125)(58, 128)(59, 136)(60, 138)(61, 139)(62, 141)(63, 131)(64, 134)(65, 142)(66, 144)(67, 145)(68, 147)(69, 137)(70, 140)(71, 148)(72, 149)(73, 150)(74, 143)(75, 146)
	local type(s) :: { ( 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75, 3, 75 ) }
Outer automorphisms :: reflexible
Dual of E24.1705
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 75 f = 26
	degree seq :: [ 50^3 ]

E24.1707 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 25, 75})
Quotient :: loop
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^3, T1^-1 * T2^24, T1^9 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-10 * T1, T1^25 ]
Map:: non-degenerate
	R = (1, 76, 3, 78, 9, 84, 19, 94, 25, 100, 31, 106, 37, 112, 43, 118, 49, 124, 55, 130, 61, 136, 67, 142, 73, 148, 72, 147, 65, 140, 58, 133, 54, 129, 47, 122, 40, 115, 36, 111, 29, 104, 22, 97, 18, 93, 8, 83, 2, 77, 7, 82, 17, 92, 11, 86, 21, 96, 27, 102, 33, 108, 39, 114, 45, 120, 51, 126, 57, 132, 63, 138, 69, 144, 75, 150, 71, 146, 64, 139, 60, 135, 53, 128, 46, 121, 42, 117, 35, 110, 28, 103, 24, 99, 16, 91, 6, 81, 15, 90, 12, 87, 4, 79, 10, 85, 20, 95, 26, 101, 32, 107, 38, 113, 44, 119, 50, 125, 56, 131, 62, 137, 68, 143, 74, 149, 70, 145, 66, 141, 59, 134, 52, 127, 48, 123, 41, 116, 34, 109, 30, 105, 23, 98, 14, 89, 13, 88, 5, 80)
	L = (1, 77)(2, 81)(3, 82)(4, 76)(5, 83)(6, 89)(7, 90)(8, 91)(9, 92)(10, 78)(11, 79)(12, 80)(13, 93)(14, 97)(15, 88)(16, 98)(17, 87)(18, 99)(19, 86)(20, 84)(21, 85)(22, 103)(23, 104)(24, 105)(25, 96)(26, 94)(27, 95)(28, 109)(29, 110)(30, 111)(31, 102)(32, 100)(33, 101)(34, 115)(35, 116)(36, 117)(37, 108)(38, 106)(39, 107)(40, 121)(41, 122)(42, 123)(43, 114)(44, 112)(45, 113)(46, 127)(47, 128)(48, 129)(49, 120)(50, 118)(51, 119)(52, 133)(53, 134)(54, 135)(55, 126)(56, 124)(57, 125)(58, 139)(59, 140)(60, 141)(61, 132)(62, 130)(63, 131)(64, 145)(65, 146)(66, 147)(67, 138)(68, 136)(69, 137)(70, 148)(71, 149)(72, 150)(73, 144)(74, 142)(75, 143)
	local type(s) :: { ( 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25 ) }
Outer automorphisms :: reflexible
Dual of E24.1703
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 75 f = 28
	degree seq :: [ 150 ]

E24.1708 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 25, 75})
Quotient :: loop
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-1 * T1^-25, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 76, 3, 78, 5, 80)(2, 77, 7, 82, 8, 83)(4, 79, 9, 84, 11, 86)(6, 81, 13, 88, 14, 89)(10, 85, 15, 90, 17, 92)(12, 87, 19, 94, 20, 95)(16, 91, 21, 96, 23, 98)(18, 93, 25, 100, 26, 101)(22, 97, 27, 102, 29, 104)(24, 99, 31, 106, 32, 107)(28, 103, 33, 108, 35, 110)(30, 105, 37, 112, 38, 113)(34, 109, 39, 114, 41, 116)(36, 111, 43, 118, 44, 119)(40, 115, 45, 120, 47, 122)(42, 117, 49, 124, 50, 125)(46, 121, 51, 126, 53, 128)(48, 123, 55, 130, 56, 131)(52, 127, 57, 132, 59, 134)(54, 129, 61, 136, 62, 137)(58, 133, 63, 138, 65, 140)(60, 135, 67, 142, 68, 143)(64, 139, 69, 144, 71, 146)(66, 141, 73, 148, 74, 149)(70, 145, 75, 150, 72, 147)
	L = (1, 77)(2, 81)(3, 82)(4, 76)(5, 83)(6, 87)(7, 88)(8, 89)(9, 78)(10, 79)(11, 80)(12, 93)(13, 94)(14, 95)(15, 84)(16, 85)(17, 86)(18, 99)(19, 100)(20, 101)(21, 90)(22, 91)(23, 92)(24, 105)(25, 106)(26, 107)(27, 96)(28, 97)(29, 98)(30, 111)(31, 112)(32, 113)(33, 102)(34, 103)(35, 104)(36, 117)(37, 118)(38, 119)(39, 108)(40, 109)(41, 110)(42, 123)(43, 124)(44, 125)(45, 114)(46, 115)(47, 116)(48, 129)(49, 130)(50, 131)(51, 120)(52, 121)(53, 122)(54, 135)(55, 136)(56, 137)(57, 126)(58, 127)(59, 128)(60, 141)(61, 142)(62, 143)(63, 132)(64, 133)(65, 134)(66, 147)(67, 148)(68, 149)(69, 138)(70, 139)(71, 140)(72, 146)(73, 145)(74, 150)(75, 144)
	local type(s) :: { ( 25, 75, 25, 75, 25, 75 ) }
Outer automorphisms :: reflexible
Dual of E24.1704
Transitivity :: ET+ VT+ AT
Graph::
	v = 25 e = 75 f = 4
	degree seq :: [ 6^25 ]

E24.1709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 25, 75})
Quotient :: dipole
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^25, Y3^75 ]
Map::
	R = (1, 76, 2, 77, 4, 79)(3, 78, 6, 81, 9, 84)(5, 80, 7, 82, 10, 85)(8, 83, 12, 87, 15, 90)(11, 86, 13, 88, 16, 91)(14, 89, 18, 93, 21, 96)(17, 92, 19, 94, 22, 97)(20, 95, 24, 99, 27, 102)(23, 98, 25, 100, 28, 103)(26, 101, 30, 105, 33, 108)(29, 104, 31, 106, 34, 109)(32, 107, 36, 111, 39, 114)(35, 110, 37, 112, 40, 115)(38, 113, 42, 117, 45, 120)(41, 116, 43, 118, 46, 121)(44, 119, 48, 123, 51, 126)(47, 122, 49, 124, 52, 127)(50, 125, 54, 129, 57, 132)(53, 128, 55, 130, 58, 133)(56, 131, 60, 135, 63, 138)(59, 134, 61, 136, 64, 139)(62, 137, 66, 141, 69, 144)(65, 140, 67, 142, 70, 145)(68, 143, 72, 147, 74, 149)(71, 146, 73, 148, 75, 150)(151, 226, 153, 228, 158, 233, 164, 239, 170, 245, 176, 251, 182, 257, 188, 263, 194, 269, 200, 275, 206, 281, 212, 287, 218, 293, 221, 296, 215, 290, 209, 284, 203, 278, 197, 272, 191, 266, 185, 260, 179, 254, 173, 248, 167, 242, 161, 236, 155, 230)(152, 227, 156, 231, 162, 237, 168, 243, 174, 249, 180, 255, 186, 261, 192, 267, 198, 273, 204, 279, 210, 285, 216, 291, 222, 297, 223, 298, 217, 292, 211, 286, 205, 280, 199, 274, 193, 268, 187, 262, 181, 256, 175, 250, 169, 244, 163, 238, 157, 232)(154, 229, 159, 234, 165, 240, 171, 246, 177, 252, 183, 258, 189, 264, 195, 270, 201, 276, 207, 282, 213, 288, 219, 294, 224, 299, 225, 300, 220, 295, 214, 289, 208, 283, 202, 277, 196, 271, 190, 265, 184, 259, 178, 253, 172, 247, 166, 241, 160, 235)
	L = (1, 154)(2, 151)(3, 159)(4, 152)(5, 160)(6, 153)(7, 155)(8, 165)(9, 156)(10, 157)(11, 166)(12, 158)(13, 161)(14, 171)(15, 162)(16, 163)(17, 172)(18, 164)(19, 167)(20, 177)(21, 168)(22, 169)(23, 178)(24, 170)(25, 173)(26, 183)(27, 174)(28, 175)(29, 184)(30, 176)(31, 179)(32, 189)(33, 180)(34, 181)(35, 190)(36, 182)(37, 185)(38, 195)(39, 186)(40, 187)(41, 196)(42, 188)(43, 191)(44, 201)(45, 192)(46, 193)(47, 202)(48, 194)(49, 197)(50, 207)(51, 198)(52, 199)(53, 208)(54, 200)(55, 203)(56, 213)(57, 204)(58, 205)(59, 214)(60, 206)(61, 209)(62, 219)(63, 210)(64, 211)(65, 220)(66, 212)(67, 215)(68, 224)(69, 216)(70, 217)(71, 225)(72, 218)(73, 221)(74, 222)(75, 223)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 2, 150, 2, 150, 2, 150 ), ( 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150, 2, 150 ) }
Outer automorphisms :: reflexible
Dual of E24.1712
Graph:: bipartite
	v = 28 e = 150 f = 76
	degree seq :: [ 6^25, 50^3 ]

E24.1710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 25, 75})
Quotient :: dipole
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), Y2^3 * Y1^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2^24, Y1^25 ]
Map::
	R = (1, 76, 2, 77, 6, 81, 14, 89, 22, 97, 28, 103, 34, 109, 40, 115, 46, 121, 52, 127, 58, 133, 64, 139, 70, 145, 73, 148, 69, 144, 62, 137, 55, 130, 51, 126, 44, 119, 37, 112, 33, 108, 26, 101, 19, 94, 11, 86, 4, 79)(3, 78, 7, 82, 15, 90, 13, 88, 18, 93, 24, 99, 30, 105, 36, 111, 42, 117, 48, 123, 54, 129, 60, 135, 66, 141, 72, 147, 75, 150, 68, 143, 61, 136, 57, 132, 50, 125, 43, 118, 39, 114, 32, 107, 25, 100, 21, 96, 10, 85)(5, 80, 8, 83, 16, 91, 23, 98, 29, 104, 35, 110, 41, 116, 47, 122, 53, 128, 59, 134, 65, 140, 71, 146, 74, 149, 67, 142, 63, 138, 56, 131, 49, 124, 45, 120, 38, 113, 31, 106, 27, 102, 20, 95, 9, 84, 17, 92, 12, 87)(151, 226, 153, 228, 159, 234, 169, 244, 175, 250, 181, 256, 187, 262, 193, 268, 199, 274, 205, 280, 211, 286, 217, 292, 223, 298, 222, 297, 215, 290, 208, 283, 204, 279, 197, 272, 190, 265, 186, 261, 179, 254, 172, 247, 168, 243, 158, 233, 152, 227, 157, 232, 167, 242, 161, 236, 171, 246, 177, 252, 183, 258, 189, 264, 195, 270, 201, 276, 207, 282, 213, 288, 219, 294, 225, 300, 221, 296, 214, 289, 210, 285, 203, 278, 196, 271, 192, 267, 185, 260, 178, 253, 174, 249, 166, 241, 156, 231, 165, 240, 162, 237, 154, 229, 160, 235, 170, 245, 176, 251, 182, 257, 188, 263, 194, 269, 200, 275, 206, 281, 212, 287, 218, 293, 224, 299, 220, 295, 216, 291, 209, 284, 202, 277, 198, 273, 191, 266, 184, 259, 180, 255, 173, 248, 164, 239, 163, 238, 155, 230)
	L = (1, 153)(2, 157)(3, 159)(4, 160)(5, 151)(6, 165)(7, 167)(8, 152)(9, 169)(10, 170)(11, 171)(12, 154)(13, 155)(14, 163)(15, 162)(16, 156)(17, 161)(18, 158)(19, 175)(20, 176)(21, 177)(22, 168)(23, 164)(24, 166)(25, 181)(26, 182)(27, 183)(28, 174)(29, 172)(30, 173)(31, 187)(32, 188)(33, 189)(34, 180)(35, 178)(36, 179)(37, 193)(38, 194)(39, 195)(40, 186)(41, 184)(42, 185)(43, 199)(44, 200)(45, 201)(46, 192)(47, 190)(48, 191)(49, 205)(50, 206)(51, 207)(52, 198)(53, 196)(54, 197)(55, 211)(56, 212)(57, 213)(58, 204)(59, 202)(60, 203)(61, 217)(62, 218)(63, 219)(64, 210)(65, 208)(66, 209)(67, 223)(68, 224)(69, 225)(70, 216)(71, 214)(72, 215)(73, 222)(74, 220)(75, 221)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E24.1711
Graph:: bipartite
	v = 4 e = 150 f = 100
	degree seq :: [ 50^3, 150 ]

E24.1711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 25, 75})
Quotient :: dipole
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^25, 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 * Y3^2, (Y3^-1 * Y1^-1)^75 ]
Map::
	R = (1, 76)(2, 77)(3, 78)(4, 79)(5, 80)(6, 81)(7, 82)(8, 83)(9, 84)(10, 85)(11, 86)(12, 87)(13, 88)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 95)(21, 96)(22, 97)(23, 98)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 104)(30, 105)(31, 106)(32, 107)(33, 108)(34, 109)(35, 110)(36, 111)(37, 112)(38, 113)(39, 114)(40, 115)(41, 116)(42, 117)(43, 118)(44, 119)(45, 120)(46, 121)(47, 122)(48, 123)(49, 124)(50, 125)(51, 126)(52, 127)(53, 128)(54, 129)(55, 130)(56, 131)(57, 132)(58, 133)(59, 134)(60, 135)(61, 136)(62, 137)(63, 138)(64, 139)(65, 140)(66, 141)(67, 142)(68, 143)(69, 144)(70, 145)(71, 146)(72, 147)(73, 148)(74, 149)(75, 150)(151, 226, 152, 227, 154, 229)(153, 228, 156, 231, 159, 234)(155, 230, 157, 232, 160, 235)(158, 233, 162, 237, 165, 240)(161, 236, 163, 238, 166, 241)(164, 239, 168, 243, 171, 246)(167, 242, 169, 244, 172, 247)(170, 245, 174, 249, 177, 252)(173, 248, 175, 250, 178, 253)(176, 251, 180, 255, 183, 258)(179, 254, 181, 256, 184, 259)(182, 257, 186, 261, 189, 264)(185, 260, 187, 262, 190, 265)(188, 263, 192, 267, 195, 270)(191, 266, 193, 268, 196, 271)(194, 269, 198, 273, 201, 276)(197, 272, 199, 274, 202, 277)(200, 275, 204, 279, 207, 282)(203, 278, 205, 280, 208, 283)(206, 281, 210, 285, 213, 288)(209, 284, 211, 286, 214, 289)(212, 287, 216, 291, 219, 294)(215, 290, 217, 292, 220, 295)(218, 293, 222, 297, 224, 299)(221, 296, 223, 298, 225, 300)
	L = (1, 153)(2, 156)(3, 158)(4, 159)(5, 151)(6, 162)(7, 152)(8, 164)(9, 165)(10, 154)(11, 155)(12, 168)(13, 157)(14, 170)(15, 171)(16, 160)(17, 161)(18, 174)(19, 163)(20, 176)(21, 177)(22, 166)(23, 167)(24, 180)(25, 169)(26, 182)(27, 183)(28, 172)(29, 173)(30, 186)(31, 175)(32, 188)(33, 189)(34, 178)(35, 179)(36, 192)(37, 181)(38, 194)(39, 195)(40, 184)(41, 185)(42, 198)(43, 187)(44, 200)(45, 201)(46, 190)(47, 191)(48, 204)(49, 193)(50, 206)(51, 207)(52, 196)(53, 197)(54, 210)(55, 199)(56, 212)(57, 213)(58, 202)(59, 203)(60, 216)(61, 205)(62, 218)(63, 219)(64, 208)(65, 209)(66, 222)(67, 211)(68, 223)(69, 224)(70, 214)(71, 215)(72, 225)(73, 217)(74, 221)(75, 220)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 50, 150 ), ( 50, 150, 50, 150, 50, 150 ) }
Outer automorphisms :: reflexible
Dual of E24.1710
Graph:: simple bipartite
	v = 100 e = 150 f = 4
	degree seq :: [ 2^75, 6^25 ]

E24.1712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 25, 75})
Quotient :: dipole
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|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^-25, (Y1^-1 * Y3^-1)^25 ]
Map::
	R = (1, 76, 2, 77, 6, 81, 12, 87, 18, 93, 24, 99, 30, 105, 36, 111, 42, 117, 48, 123, 54, 129, 60, 135, 66, 141, 72, 147, 71, 146, 65, 140, 59, 134, 53, 128, 47, 122, 41, 116, 35, 110, 29, 104, 23, 98, 17, 92, 11, 86, 5, 80, 8, 83, 14, 89, 20, 95, 26, 101, 32, 107, 38, 113, 44, 119, 50, 125, 56, 131, 62, 137, 68, 143, 74, 149, 75, 150, 69, 144, 63, 138, 57, 132, 51, 126, 45, 120, 39, 114, 33, 108, 27, 102, 21, 96, 15, 90, 9, 84, 3, 78, 7, 82, 13, 88, 19, 94, 25, 100, 31, 106, 37, 112, 43, 118, 49, 124, 55, 130, 61, 136, 67, 142, 73, 148, 70, 145, 64, 139, 58, 133, 52, 127, 46, 121, 40, 115, 34, 109, 28, 103, 22, 97, 16, 91, 10, 85, 4, 79)(151, 226)(152, 227)(153, 228)(154, 229)(155, 230)(156, 231)(157, 232)(158, 233)(159, 234)(160, 235)(161, 236)(162, 237)(163, 238)(164, 239)(165, 240)(166, 241)(167, 242)(168, 243)(169, 244)(170, 245)(171, 246)(172, 247)(173, 248)(174, 249)(175, 250)(176, 251)(177, 252)(178, 253)(179, 254)(180, 255)(181, 256)(182, 257)(183, 258)(184, 259)(185, 260)(186, 261)(187, 262)(188, 263)(189, 264)(190, 265)(191, 266)(192, 267)(193, 268)(194, 269)(195, 270)(196, 271)(197, 272)(198, 273)(199, 274)(200, 275)(201, 276)(202, 277)(203, 278)(204, 279)(205, 280)(206, 281)(207, 282)(208, 283)(209, 284)(210, 285)(211, 286)(212, 287)(213, 288)(214, 289)(215, 290)(216, 291)(217, 292)(218, 293)(219, 294)(220, 295)(221, 296)(222, 297)(223, 298)(224, 299)(225, 300)
	L = (1, 153)(2, 157)(3, 155)(4, 159)(5, 151)(6, 163)(7, 158)(8, 152)(9, 161)(10, 165)(11, 154)(12, 169)(13, 164)(14, 156)(15, 167)(16, 171)(17, 160)(18, 175)(19, 170)(20, 162)(21, 173)(22, 177)(23, 166)(24, 181)(25, 176)(26, 168)(27, 179)(28, 183)(29, 172)(30, 187)(31, 182)(32, 174)(33, 185)(34, 189)(35, 178)(36, 193)(37, 188)(38, 180)(39, 191)(40, 195)(41, 184)(42, 199)(43, 194)(44, 186)(45, 197)(46, 201)(47, 190)(48, 205)(49, 200)(50, 192)(51, 203)(52, 207)(53, 196)(54, 211)(55, 206)(56, 198)(57, 209)(58, 213)(59, 202)(60, 217)(61, 212)(62, 204)(63, 215)(64, 219)(65, 208)(66, 223)(67, 218)(68, 210)(69, 221)(70, 225)(71, 214)(72, 220)(73, 224)(74, 216)(75, 222)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 6, 50 ), ( 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50, 6, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1709
Graph:: bipartite
	v = 76 e = 150 f = 28
	degree seq :: [ 2^75, 150 ]

E24.1713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 25, 75})
Quotient :: dipole
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^3, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3 * Y2^-25, 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 ]
Map::
	R = (1, 76, 2, 77, 4, 79)(3, 78, 6, 81, 9, 84)(5, 80, 7, 82, 10, 85)(8, 83, 12, 87, 15, 90)(11, 86, 13, 88, 16, 91)(14, 89, 18, 93, 21, 96)(17, 92, 19, 94, 22, 97)(20, 95, 24, 99, 27, 102)(23, 98, 25, 100, 28, 103)(26, 101, 30, 105, 33, 108)(29, 104, 31, 106, 34, 109)(32, 107, 36, 111, 39, 114)(35, 110, 37, 112, 40, 115)(38, 113, 42, 117, 45, 120)(41, 116, 43, 118, 46, 121)(44, 119, 48, 123, 51, 126)(47, 122, 49, 124, 52, 127)(50, 125, 54, 129, 57, 132)(53, 128, 55, 130, 58, 133)(56, 131, 60, 135, 63, 138)(59, 134, 61, 136, 64, 139)(62, 137, 66, 141, 69, 144)(65, 140, 67, 142, 70, 145)(68, 143, 72, 147, 75, 150)(71, 146, 73, 148, 74, 149)(151, 226, 153, 228, 158, 233, 164, 239, 170, 245, 176, 251, 182, 257, 188, 263, 194, 269, 200, 275, 206, 281, 212, 287, 218, 293, 224, 299, 220, 295, 214, 289, 208, 283, 202, 277, 196, 271, 190, 265, 184, 259, 178, 253, 172, 247, 166, 241, 160, 235, 154, 229, 159, 234, 165, 240, 171, 246, 177, 252, 183, 258, 189, 264, 195, 270, 201, 276, 207, 282, 213, 288, 219, 294, 225, 300, 223, 298, 217, 292, 211, 286, 205, 280, 199, 274, 193, 268, 187, 262, 181, 256, 175, 250, 169, 244, 163, 238, 157, 232, 152, 227, 156, 231, 162, 237, 168, 243, 174, 249, 180, 255, 186, 261, 192, 267, 198, 273, 204, 279, 210, 285, 216, 291, 222, 297, 221, 296, 215, 290, 209, 284, 203, 278, 197, 272, 191, 266, 185, 260, 179, 254, 173, 248, 167, 242, 161, 236, 155, 230)
	L = (1, 154)(2, 151)(3, 159)(4, 152)(5, 160)(6, 153)(7, 155)(8, 165)(9, 156)(10, 157)(11, 166)(12, 158)(13, 161)(14, 171)(15, 162)(16, 163)(17, 172)(18, 164)(19, 167)(20, 177)(21, 168)(22, 169)(23, 178)(24, 170)(25, 173)(26, 183)(27, 174)(28, 175)(29, 184)(30, 176)(31, 179)(32, 189)(33, 180)(34, 181)(35, 190)(36, 182)(37, 185)(38, 195)(39, 186)(40, 187)(41, 196)(42, 188)(43, 191)(44, 201)(45, 192)(46, 193)(47, 202)(48, 194)(49, 197)(50, 207)(51, 198)(52, 199)(53, 208)(54, 200)(55, 203)(56, 213)(57, 204)(58, 205)(59, 214)(60, 206)(61, 209)(62, 219)(63, 210)(64, 211)(65, 220)(66, 212)(67, 215)(68, 225)(69, 216)(70, 217)(71, 224)(72, 218)(73, 221)(74, 223)(75, 222)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1714
Graph:: bipartite
	v = 26 e = 150 f = 78
	degree seq :: [ 6^25, 150 ]

E24.1714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 25, 75})
Quotient :: dipole
Aut^+ = C75 (small group id <75, 1>)
Aut   = D150 (small group id <150, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y1^-3 * Y3^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^24, Y1^10 * Y3^-1 * Y1^2 * Y3^-11 * Y1, Y1^25, (Y3 * Y2^-1)^75 ]
Map::
	R = (1, 76, 2, 77, 6, 81, 14, 89, 22, 97, 28, 103, 34, 109, 40, 115, 46, 121, 52, 127, 58, 133, 64, 139, 70, 145, 73, 148, 69, 144, 62, 137, 55, 130, 51, 126, 44, 119, 37, 112, 33, 108, 26, 101, 19, 94, 11, 86, 4, 79)(3, 78, 7, 82, 15, 90, 13, 88, 18, 93, 24, 99, 30, 105, 36, 111, 42, 117, 48, 123, 54, 129, 60, 135, 66, 141, 72, 147, 75, 150, 68, 143, 61, 136, 57, 132, 50, 125, 43, 118, 39, 114, 32, 107, 25, 100, 21, 96, 10, 85)(5, 80, 8, 83, 16, 91, 23, 98, 29, 104, 35, 110, 41, 116, 47, 122, 53, 128, 59, 134, 65, 140, 71, 146, 74, 149, 67, 142, 63, 138, 56, 131, 49, 124, 45, 120, 38, 113, 31, 106, 27, 102, 20, 95, 9, 84, 17, 92, 12, 87)(151, 226)(152, 227)(153, 228)(154, 229)(155, 230)(156, 231)(157, 232)(158, 233)(159, 234)(160, 235)(161, 236)(162, 237)(163, 238)(164, 239)(165, 240)(166, 241)(167, 242)(168, 243)(169, 244)(170, 245)(171, 246)(172, 247)(173, 248)(174, 249)(175, 250)(176, 251)(177, 252)(178, 253)(179, 254)(180, 255)(181, 256)(182, 257)(183, 258)(184, 259)(185, 260)(186, 261)(187, 262)(188, 263)(189, 264)(190, 265)(191, 266)(192, 267)(193, 268)(194, 269)(195, 270)(196, 271)(197, 272)(198, 273)(199, 274)(200, 275)(201, 276)(202, 277)(203, 278)(204, 279)(205, 280)(206, 281)(207, 282)(208, 283)(209, 284)(210, 285)(211, 286)(212, 287)(213, 288)(214, 289)(215, 290)(216, 291)(217, 292)(218, 293)(219, 294)(220, 295)(221, 296)(222, 297)(223, 298)(224, 299)(225, 300)
	L = (1, 153)(2, 157)(3, 159)(4, 160)(5, 151)(6, 165)(7, 167)(8, 152)(9, 169)(10, 170)(11, 171)(12, 154)(13, 155)(14, 163)(15, 162)(16, 156)(17, 161)(18, 158)(19, 175)(20, 176)(21, 177)(22, 168)(23, 164)(24, 166)(25, 181)(26, 182)(27, 183)(28, 174)(29, 172)(30, 173)(31, 187)(32, 188)(33, 189)(34, 180)(35, 178)(36, 179)(37, 193)(38, 194)(39, 195)(40, 186)(41, 184)(42, 185)(43, 199)(44, 200)(45, 201)(46, 192)(47, 190)(48, 191)(49, 205)(50, 206)(51, 207)(52, 198)(53, 196)(54, 197)(55, 211)(56, 212)(57, 213)(58, 204)(59, 202)(60, 203)(61, 217)(62, 218)(63, 219)(64, 210)(65, 208)(66, 209)(67, 223)(68, 224)(69, 225)(70, 216)(71, 214)(72, 215)(73, 222)(74, 220)(75, 221)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 6, 150 ), ( 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150, 6, 150 ) }
Outer automorphisms :: reflexible
Dual of E24.1713
Graph:: simple bipartite
	v = 78 e = 150 f = 26
	degree seq :: [ 2^75, 50^3 ]

E24.1715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 13})
Quotient :: dipole
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y2)^2, Y3^13 * 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 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 79, 2, 80)(3, 81, 9, 87)(4, 82, 10, 88)(5, 83, 7, 85)(6, 84, 8, 86)(11, 89, 21, 99)(12, 90, 20, 98)(13, 91, 22, 100)(14, 92, 18, 96)(15, 93, 17, 95)(16, 94, 19, 97)(23, 101, 33, 111)(24, 102, 32, 110)(25, 103, 34, 112)(26, 104, 30, 108)(27, 105, 29, 107)(28, 106, 31, 109)(35, 113, 45, 123)(36, 114, 44, 122)(37, 115, 46, 124)(38, 116, 42, 120)(39, 117, 41, 119)(40, 118, 43, 121)(47, 125, 57, 135)(48, 126, 56, 134)(49, 127, 58, 136)(50, 128, 54, 132)(51, 129, 53, 131)(52, 130, 55, 133)(59, 137, 69, 147)(60, 138, 68, 146)(61, 139, 70, 148)(62, 140, 66, 144)(63, 141, 65, 143)(64, 142, 67, 145)(71, 149, 78, 156)(72, 150, 77, 155)(73, 151, 76, 154)(74, 152, 75, 153)(157, 235, 159, 237, 161, 239)(158, 236, 163, 241, 165, 243)(160, 238, 167, 245, 170, 248)(162, 240, 168, 246, 171, 249)(164, 242, 173, 251, 176, 254)(166, 244, 174, 252, 177, 255)(169, 247, 179, 257, 182, 260)(172, 250, 180, 258, 183, 261)(175, 253, 185, 263, 188, 266)(178, 256, 186, 264, 189, 267)(181, 259, 191, 269, 194, 272)(184, 262, 192, 270, 195, 273)(187, 265, 197, 275, 200, 278)(190, 268, 198, 276, 201, 279)(193, 271, 203, 281, 206, 284)(196, 274, 204, 282, 207, 285)(199, 277, 209, 287, 212, 290)(202, 280, 210, 288, 213, 291)(205, 283, 215, 293, 218, 296)(208, 286, 216, 294, 219, 297)(211, 289, 221, 299, 224, 302)(214, 292, 222, 300, 225, 303)(217, 295, 227, 305, 229, 307)(220, 298, 228, 306, 230, 308)(223, 301, 231, 309, 233, 311)(226, 304, 232, 310, 234, 312)
	L = (1, 160)(2, 164)(3, 167)(4, 169)(5, 170)(6, 157)(7, 173)(8, 175)(9, 176)(10, 158)(11, 179)(12, 159)(13, 181)(14, 182)(15, 161)(16, 162)(17, 185)(18, 163)(19, 187)(20, 188)(21, 165)(22, 166)(23, 191)(24, 168)(25, 193)(26, 194)(27, 171)(28, 172)(29, 197)(30, 174)(31, 199)(32, 200)(33, 177)(34, 178)(35, 203)(36, 180)(37, 205)(38, 206)(39, 183)(40, 184)(41, 209)(42, 186)(43, 211)(44, 212)(45, 189)(46, 190)(47, 215)(48, 192)(49, 217)(50, 218)(51, 195)(52, 196)(53, 221)(54, 198)(55, 223)(56, 224)(57, 201)(58, 202)(59, 227)(60, 204)(61, 228)(62, 229)(63, 207)(64, 208)(65, 231)(66, 210)(67, 232)(68, 233)(69, 213)(70, 214)(71, 230)(72, 216)(73, 220)(74, 219)(75, 234)(76, 222)(77, 226)(78, 225)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 26, 4, 26 ), ( 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1716
Graph:: simple bipartite
	v = 65 e = 156 f = 45
	degree seq :: [ 4^39, 6^26 ]

E24.1716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 13})
Quotient :: dipole
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^12, Y1^5 * Y3^-1 * Y1^2 * Y3^-5, Y1^13 ]
Map:: polytopal non-degenerate
	R = (1, 79, 2, 80, 7, 85, 19, 97, 35, 113, 49, 127, 61, 139, 70, 148, 60, 138, 47, 125, 32, 110, 16, 94, 5, 83)(3, 81, 11, 89, 27, 105, 43, 121, 55, 133, 67, 145, 76, 154, 73, 151, 62, 140, 50, 128, 36, 114, 20, 98, 8, 86)(4, 82, 9, 87, 21, 99, 18, 96, 26, 104, 40, 118, 53, 131, 65, 143, 72, 150, 59, 137, 46, 124, 34, 112, 15, 93)(6, 84, 10, 88, 22, 100, 37, 115, 51, 129, 63, 141, 71, 149, 58, 136, 48, 126, 33, 111, 14, 92, 25, 103, 17, 95)(12, 90, 28, 106, 42, 120, 31, 109, 45, 123, 57, 135, 69, 147, 78, 156, 74, 152, 64, 142, 52, 130, 38, 116, 23, 101)(13, 91, 29, 107, 44, 122, 56, 134, 68, 146, 77, 155, 75, 153, 66, 144, 54, 132, 41, 119, 30, 108, 39, 117, 24, 102)(157, 235, 159, 237)(158, 236, 164, 242)(160, 238, 169, 247)(161, 239, 167, 245)(162, 240, 168, 246)(163, 241, 176, 254)(165, 243, 180, 258)(166, 244, 179, 257)(170, 248, 187, 265)(171, 249, 185, 263)(172, 250, 183, 261)(173, 251, 184, 262)(174, 252, 186, 264)(175, 253, 192, 270)(177, 255, 195, 273)(178, 256, 194, 272)(181, 259, 198, 276)(182, 260, 197, 275)(188, 266, 199, 277)(189, 267, 201, 279)(190, 268, 200, 278)(191, 269, 206, 284)(193, 271, 208, 286)(196, 274, 210, 288)(202, 280, 212, 290)(203, 281, 211, 289)(204, 282, 213, 291)(205, 283, 218, 296)(207, 285, 220, 298)(209, 287, 222, 300)(214, 292, 225, 303)(215, 293, 224, 302)(216, 294, 223, 301)(217, 295, 229, 307)(219, 297, 230, 308)(221, 299, 231, 309)(226, 304, 232, 310)(227, 305, 234, 312)(228, 306, 233, 311)
	L = (1, 160)(2, 165)(3, 168)(4, 170)(5, 171)(6, 157)(7, 177)(8, 179)(9, 181)(10, 158)(11, 184)(12, 186)(13, 159)(14, 188)(15, 189)(16, 190)(17, 161)(18, 162)(19, 174)(20, 194)(21, 173)(22, 163)(23, 197)(24, 164)(25, 172)(26, 166)(27, 198)(28, 195)(29, 167)(30, 192)(31, 169)(32, 202)(33, 203)(34, 204)(35, 182)(36, 208)(37, 175)(38, 210)(39, 176)(40, 178)(41, 206)(42, 180)(43, 187)(44, 183)(45, 185)(46, 214)(47, 215)(48, 216)(49, 196)(50, 220)(51, 191)(52, 222)(53, 193)(54, 218)(55, 201)(56, 199)(57, 200)(58, 226)(59, 227)(60, 228)(61, 209)(62, 230)(63, 205)(64, 231)(65, 207)(66, 229)(67, 213)(68, 211)(69, 212)(70, 221)(71, 217)(72, 219)(73, 234)(74, 233)(75, 232)(76, 225)(77, 223)(78, 224)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1715
Graph:: simple bipartite
	v = 45 e = 156 f = 65
	degree seq :: [ 4^39, 26^6 ]

E24.1717 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 6, 13})
Quotient :: edge
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 1
Presentation :: [ X1^6, X2^-1 * X1 * X2^-3 * X1^-1, X2^-2 * X1 * X2 * X1^-1 * X2^-2, (X2^2 * X1^-2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 48, 33, 11)(5, 15, 42, 47, 45, 16)(7, 21, 53, 39, 34, 23)(8, 24, 57, 38, 44, 25)(10, 29, 61, 74, 62, 31)(12, 35, 28, 20, 51, 37)(14, 30, 43, 19, 49, 40)(17, 46, 59, 73, 65, 32)(22, 54, 78, 70, 64, 55)(26, 58, 77, 66, 63, 56)(36, 67, 72, 52, 76, 68)(41, 71, 60, 50, 75, 69)(79, 81, 88, 108, 101, 134, 149, 145, 133, 103, 113, 95, 83)(80, 85, 100, 93, 121, 150, 124, 107, 138, 106, 87, 104, 86)(82, 90, 114, 112, 89, 110, 142, 141, 109, 94, 122, 119, 92)(84, 97, 128, 102, 120, 139, 136, 132, 137, 105, 99, 130, 98)(91, 116, 144, 111, 115, 147, 140, 143, 146, 118, 123, 148, 117)(96, 125, 151, 129, 135, 156, 154, 153, 155, 131, 127, 152, 126)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 12^6 ), ( 12^13 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 78 f = 13
	degree seq :: [ 6^13, 13^6 ]

E24.1718 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 6, 13})
Quotient :: loop
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 1
Presentation :: [ (X2^2 * X1^-1)^2, (X1^-1 * X2 * X1^-1)^2, X2 * X1 * X2^-1 * X1 * X2 * X1^-1, X1^6, X2^6, X1^-1 * X2^-1 * X1^-2 * X2^-2 * X1^-1 * X2^-1, X1^3 * X2^-2 * X1^-1 * X2^-2 * X1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 79, 2, 80, 6, 84, 18, 96, 13, 91, 4, 82)(3, 81, 9, 87, 27, 105, 46, 124, 20, 98, 11, 89)(5, 83, 15, 93, 33, 111, 62, 140, 38, 116, 16, 94)(7, 85, 21, 99, 48, 126, 69, 147, 42, 120, 23, 101)(8, 86, 24, 102, 12, 90, 31, 109, 52, 130, 25, 103)(10, 88, 29, 107, 57, 135, 78, 156, 54, 132, 26, 104)(14, 92, 35, 113, 41, 119, 67, 145, 56, 134, 36, 114)(17, 95, 32, 110, 60, 138, 76, 154, 66, 144, 40, 118)(19, 97, 43, 121, 71, 149, 64, 142, 34, 112, 45, 123)(22, 100, 50, 128, 39, 117, 61, 139, 75, 153, 47, 125)(28, 106, 55, 133, 68, 146, 65, 143, 74, 152, 51, 129)(30, 108, 59, 137, 70, 148, 44, 122, 72, 150, 53, 131)(37, 115, 63, 141, 77, 155, 58, 136, 73, 151, 49, 127)
	L = (1, 81)(2, 85)(3, 88)(4, 90)(5, 79)(6, 97)(7, 100)(8, 80)(9, 106)(10, 108)(11, 102)(12, 110)(13, 111)(14, 82)(15, 113)(16, 109)(17, 83)(18, 119)(19, 122)(20, 84)(21, 127)(22, 129)(23, 89)(24, 93)(25, 87)(26, 86)(27, 128)(28, 134)(29, 136)(30, 95)(31, 137)(32, 139)(33, 141)(34, 91)(35, 123)(36, 140)(37, 92)(38, 138)(39, 94)(40, 130)(41, 146)(42, 96)(43, 118)(44, 151)(45, 101)(46, 99)(47, 98)(48, 150)(49, 116)(50, 154)(51, 104)(52, 107)(53, 103)(54, 105)(55, 112)(56, 155)(57, 114)(58, 147)(59, 149)(60, 152)(61, 115)(62, 153)(63, 156)(64, 145)(65, 117)(66, 148)(67, 132)(68, 144)(69, 121)(70, 120)(71, 143)(72, 135)(73, 125)(74, 124)(75, 126)(76, 142)(77, 131)(78, 133)
	local type(s) :: { ( 6, 13, 6, 13, 6, 13, 6, 13, 6, 13, 6, 13 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 13 e = 78 f = 19
	degree seq :: [ 12^13 ]

E24.1719 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {6, 6, 13})
Quotient :: loop
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, (T2^2 * T1^-1)^2, (T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^6, T1^6, T1^-2 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 51, 26, 8)(4, 12, 32, 61, 37, 14)(6, 19, 44, 73, 47, 20)(9, 28, 56, 77, 53, 25)(11, 24, 15, 35, 45, 23)(13, 33, 63, 78, 55, 34)(16, 31, 59, 71, 65, 39)(18, 41, 68, 66, 70, 42)(21, 49, 38, 60, 74, 46)(27, 50, 76, 64, 67, 54)(29, 58, 69, 43, 40, 52)(36, 62, 75, 48, 72, 57)(79, 80, 84, 96, 91, 82)(81, 87, 105, 124, 98, 89)(83, 93, 111, 140, 116, 94)(85, 99, 126, 147, 120, 101)(86, 102, 90, 109, 130, 103)(88, 107, 135, 156, 132, 104)(92, 113, 119, 145, 134, 114)(95, 110, 138, 154, 144, 118)(97, 121, 149, 142, 112, 123)(100, 128, 117, 139, 153, 125)(106, 133, 146, 143, 152, 129)(108, 137, 148, 122, 150, 131)(115, 141, 155, 136, 151, 127)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 26^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1721
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 26 e = 78 f = 6
	degree seq :: [ 6^26 ]

E24.1720 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {6, 6, 13})
Quotient :: loop
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T1^-3 * T2^3, T2^-2 * T1^-3 * T2^-1, (T2 * T1^-1)^3, T2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 17, 5)(2, 7, 22, 13, 26, 8)(4, 12, 20, 6, 19, 14)(9, 28, 56, 32, 59, 29)(11, 24, 52, 27, 48, 33)(15, 38, 42, 30, 60, 35)(16, 39, 61, 31, 58, 40)(21, 46, 72, 50, 74, 47)(23, 43, 69, 45, 36, 51)(25, 53, 75, 49, 73, 54)(34, 64, 68, 41, 67, 55)(37, 57, 71, 44, 70, 62)(63, 78, 66, 77, 65, 76)(79, 80, 84, 96, 91, 82)(81, 87, 105, 95, 110, 89)(83, 93, 109, 88, 108, 94)(85, 99, 123, 104, 128, 101)(86, 102, 127, 100, 126, 103)(90, 112, 120, 97, 119, 113)(92, 114, 122, 98, 121, 115)(106, 133, 148, 137, 146, 135)(107, 136, 152, 134, 117, 124)(111, 140, 155, 130, 149, 141)(116, 132, 156, 138, 153, 143)(118, 144, 147, 139, 154, 129)(125, 151, 142, 150, 131, 145)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 26^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1722
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 26 e = 78 f = 6
	degree seq :: [ 6^26 ]

E24.1721 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {6, 6, 13})
Quotient :: edge
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2^2 * T1^-1 * T2 * T1 * T2, T1^6, T2 * F * T1 * T2^-2 * F * T1^-1, T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 79, 3, 81, 10, 88, 30, 108, 23, 101, 56, 134, 71, 149, 67, 145, 55, 133, 25, 103, 35, 113, 17, 95, 5, 83)(2, 80, 7, 85, 22, 100, 15, 93, 43, 121, 72, 150, 46, 124, 29, 107, 60, 138, 28, 106, 9, 87, 26, 104, 8, 86)(4, 82, 12, 90, 36, 114, 34, 112, 11, 89, 32, 110, 64, 142, 63, 141, 31, 109, 16, 94, 44, 122, 41, 119, 14, 92)(6, 84, 19, 97, 50, 128, 24, 102, 42, 120, 61, 139, 58, 136, 54, 132, 59, 137, 27, 105, 21, 99, 52, 130, 20, 98)(13, 91, 38, 116, 66, 144, 33, 111, 37, 115, 69, 147, 62, 140, 65, 143, 68, 146, 40, 118, 45, 123, 70, 148, 39, 117)(18, 96, 47, 125, 73, 151, 51, 129, 57, 135, 78, 156, 76, 154, 75, 153, 77, 155, 53, 131, 49, 127, 74, 152, 48, 126)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 93)(6, 96)(7, 99)(8, 102)(9, 105)(10, 107)(11, 81)(12, 113)(13, 82)(14, 108)(15, 120)(16, 83)(17, 124)(18, 91)(19, 127)(20, 129)(21, 131)(22, 132)(23, 85)(24, 135)(25, 86)(26, 136)(27, 126)(28, 98)(29, 139)(30, 121)(31, 88)(32, 95)(33, 89)(34, 101)(35, 106)(36, 145)(37, 90)(38, 122)(39, 112)(40, 92)(41, 149)(42, 125)(43, 97)(44, 103)(45, 94)(46, 137)(47, 123)(48, 111)(49, 118)(50, 153)(51, 115)(52, 154)(53, 117)(54, 156)(55, 100)(56, 104)(57, 116)(58, 155)(59, 151)(60, 128)(61, 152)(62, 109)(63, 134)(64, 133)(65, 110)(66, 141)(67, 150)(68, 114)(69, 119)(70, 142)(71, 138)(72, 130)(73, 143)(74, 140)(75, 147)(76, 146)(77, 144)(78, 148)
	local type(s) :: { ( 6^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1719
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 6 e = 78 f = 26
	degree seq :: [ 26^6 ]

E24.1722 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {6, 6, 13})
Quotient :: edge
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ F^2, (T2 * F)^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2^-3 * T1^-1 * T2 * T1, T1^6, T1^2 * F * T1^-2 * F * T2^-1, T2^-4 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^3 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 79, 3, 81, 10, 88, 30, 108, 25, 103, 55, 133, 67, 145, 71, 149, 56, 134, 23, 101, 39, 117, 17, 95, 5, 83)(2, 80, 7, 85, 22, 100, 9, 87, 28, 106, 60, 138, 29, 107, 46, 124, 72, 150, 43, 121, 15, 93, 26, 104, 8, 86)(4, 82, 12, 90, 35, 113, 45, 123, 16, 94, 31, 109, 62, 140, 66, 144, 34, 112, 11, 89, 32, 110, 41, 119, 14, 92)(6, 84, 19, 97, 50, 128, 21, 99, 42, 120, 61, 139, 54, 132, 58, 136, 59, 137, 27, 105, 24, 102, 52, 130, 20, 98)(13, 91, 37, 115, 64, 142, 33, 111, 40, 118, 68, 146, 63, 141, 65, 143, 69, 147, 36, 114, 44, 122, 70, 148, 38, 116)(18, 96, 47, 125, 73, 151, 49, 127, 57, 135, 78, 156, 75, 153, 76, 154, 77, 155, 53, 131, 51, 129, 74, 152, 48, 126)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 93)(6, 96)(7, 99)(8, 102)(9, 105)(10, 107)(11, 81)(12, 108)(13, 82)(14, 117)(15, 120)(16, 83)(17, 124)(18, 91)(19, 127)(20, 129)(21, 131)(22, 132)(23, 85)(24, 135)(25, 86)(26, 136)(27, 125)(28, 98)(29, 139)(30, 121)(31, 88)(32, 103)(33, 89)(34, 95)(35, 145)(36, 90)(37, 123)(38, 110)(39, 106)(40, 92)(41, 149)(42, 126)(43, 97)(44, 94)(45, 101)(46, 137)(47, 111)(48, 122)(49, 114)(50, 153)(51, 118)(52, 154)(53, 115)(54, 156)(55, 100)(56, 104)(57, 116)(58, 155)(59, 152)(60, 128)(61, 151)(62, 133)(63, 109)(64, 140)(65, 112)(66, 134)(67, 138)(68, 113)(69, 119)(70, 144)(71, 150)(72, 130)(73, 141)(74, 143)(75, 146)(76, 147)(77, 148)(78, 142)
	local type(s) :: { ( 6^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1720
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 6 e = 78 f = 26
	degree seq :: [ 26^6 ]

E24.1723 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 13})
Quotient :: edge^2
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2, Y3^-3 * Y1^-1 * Y2^-1, Y2^2 * Y1^2 * Y3^-1, Y3 * Y2 * Y1 * Y3^2, Y2^-1 * Y3 * Y1^-2 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-3, Y1^6, Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2^3 * Y1^-3, (Y2 * Y1^-1)^3, Y3 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2^2 * Y3^-1 * Y1 * Y2^-2 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 79, 4, 82, 17, 95, 23, 101, 43, 121, 68, 146, 65, 143, 51, 129, 35, 113, 36, 114, 12, 90, 31, 109, 7, 85)(2, 80, 9, 87, 27, 105, 6, 84, 25, 103, 61, 139, 19, 97, 45, 123, 71, 149, 58, 136, 28, 106, 44, 122, 11, 89)(3, 81, 5, 83, 21, 99, 50, 128, 29, 107, 30, 108, 57, 135, 74, 152, 56, 134, 16, 94, 18, 96, 54, 132, 15, 93)(8, 86, 33, 111, 41, 119, 10, 88, 39, 117, 59, 137, 37, 115, 69, 147, 60, 138, 24, 102, 42, 120, 67, 145, 26, 104)(13, 91, 14, 92, 48, 126, 55, 133, 52, 130, 53, 131, 64, 142, 70, 148, 63, 141, 20, 98, 22, 100, 66, 144, 47, 125)(32, 110, 46, 124, 73, 151, 34, 112, 62, 140, 75, 153, 72, 150, 78, 156, 76, 154, 38, 116, 49, 127, 77, 155, 40, 118)(157, 158, 164, 188, 178, 161)(159, 168, 181, 182, 205, 170)(160, 162, 180, 202, 169, 174)(163, 184, 195, 196, 226, 186)(165, 166, 194, 222, 185, 192)(167, 198, 218, 176, 210, 199)(171, 207, 227, 223, 234, 209)(172, 187, 201, 216, 233, 208)(173, 175, 215, 229, 211, 213)(177, 179, 214, 189, 190, 220)(183, 193, 231, 203, 230, 224)(191, 200, 225, 232, 219, 212)(197, 228, 204, 206, 221, 217)(235, 237, 247, 266, 260, 240)(236, 241, 263, 256, 274, 244)(238, 250, 289, 280, 294, 253)(239, 254, 268, 242, 245, 257)(243, 269, 308, 300, 310, 271)(246, 249, 286, 283, 301, 279)(248, 272, 275, 259, 270, 284)(251, 264, 298, 307, 273, 292)(252, 281, 296, 258, 261, 277)(255, 287, 306, 267, 305, 299)(262, 265, 290, 304, 311, 303)(276, 278, 285, 288, 297, 312)(282, 309, 293, 295, 302, 291)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4^6 ), ( 4^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1729
Graph:: simple bipartite
	v = 32 e = 156 f = 78
	degree seq :: [ 6^26, 26^6 ]

E24.1724 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 13})
Quotient :: edge^2
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-3 * Y2, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3^-3, Y3^2 * Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y2^6, Y1^6, (Y2 * Y1^-1)^3, Y2^2 * Y1 * Y3 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1^-2 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 79, 4, 82, 17, 95, 12, 90, 37, 115, 68, 146, 50, 128, 64, 142, 43, 121, 44, 122, 23, 101, 31, 109, 7, 85)(2, 80, 9, 87, 36, 114, 28, 106, 45, 123, 76, 154, 62, 140, 19, 97, 60, 138, 27, 105, 6, 84, 25, 103, 11, 89)(3, 81, 5, 83, 21, 99, 46, 124, 16, 94, 18, 96, 57, 135, 78, 156, 55, 133, 29, 107, 30, 108, 53, 131, 15, 93)(8, 86, 33, 111, 61, 139, 42, 120, 69, 147, 59, 137, 26, 104, 38, 116, 67, 145, 24, 102, 10, 88, 40, 118, 35, 113)(13, 91, 14, 92, 49, 127, 54, 132, 20, 98, 22, 100, 66, 144, 56, 134, 58, 136, 51, 129, 52, 130, 70, 148, 48, 126)(32, 110, 71, 149, 75, 153, 74, 152, 77, 155, 47, 125, 41, 119, 72, 150, 63, 141, 39, 117, 34, 112, 73, 151, 65, 143)(157, 158, 164, 188, 178, 161)(159, 168, 201, 189, 190, 170)(160, 162, 180, 221, 214, 174)(163, 184, 225, 227, 205, 186)(165, 166, 195, 176, 172, 193)(167, 198, 233, 222, 209, 200)(169, 202, 220, 232, 196, 197)(171, 206, 216, 217, 228, 208)(173, 175, 215, 229, 226, 185)(177, 179, 183, 191, 230, 207)(181, 182, 219, 212, 211, 224)(187, 218, 223, 231, 204, 213)(192, 194, 203, 210, 234, 199)(235, 237, 247, 281, 260, 240)(236, 241, 263, 286, 275, 244)(238, 250, 288, 311, 295, 253)(239, 254, 297, 293, 296, 257)(242, 245, 277, 291, 304, 268)(243, 246, 249, 285, 309, 272)(248, 273, 258, 261, 278, 264)(251, 289, 300, 308, 274, 279)(252, 290, 306, 267, 262, 265)(255, 292, 307, 303, 270, 298)(256, 299, 301, 310, 284, 287)(259, 271, 280, 282, 305, 276)(266, 269, 294, 302, 312, 283)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4^6 ), ( 4^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1730
Graph:: simple bipartite
	v = 32 e = 156 f = 78
	degree seq :: [ 6^26, 26^6 ]

E24.1725 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 13})
Quotient :: edge^2
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^3 * Y2^3, Y2^-2 * Y1^3 * Y2^-1, Y1^6, (Y2 * Y1^-1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^13 ]
Map:: polytopal
	R = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)(157, 158, 162, 174, 169, 160)(159, 165, 183, 173, 188, 167)(161, 171, 187, 166, 186, 172)(163, 177, 201, 182, 206, 179)(164, 180, 205, 178, 204, 181)(168, 190, 198, 175, 197, 191)(170, 192, 200, 176, 199, 193)(184, 211, 226, 215, 224, 213)(185, 214, 230, 212, 195, 202)(189, 218, 233, 208, 227, 219)(194, 210, 234, 216, 231, 221)(196, 222, 225, 217, 232, 207)(203, 229, 220, 228, 209, 223)(235, 237, 244, 252, 251, 239)(236, 241, 256, 247, 260, 242)(238, 246, 254, 240, 253, 248)(243, 262, 290, 266, 293, 263)(245, 258, 286, 261, 282, 267)(249, 272, 276, 264, 294, 269)(250, 273, 295, 265, 292, 274)(255, 280, 306, 284, 308, 281)(257, 277, 303, 279, 270, 285)(259, 287, 309, 283, 307, 288)(268, 298, 302, 275, 301, 289)(271, 291, 305, 278, 304, 296)(297, 312, 300, 311, 299, 310)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 52, 52 ), ( 52^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1727
Graph:: simple bipartite
	v = 104 e = 156 f = 6
	degree seq :: [ 2^78, 6^26 ]

E24.1726 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 13})
Quotient :: edge^2
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^2 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^6, Y1^6, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^13 ]
Map:: polytopal
	R = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)(157, 158, 162, 174, 169, 160)(159, 165, 183, 202, 176, 167)(161, 171, 189, 218, 194, 172)(163, 177, 204, 225, 198, 179)(164, 180, 168, 187, 208, 181)(166, 185, 213, 234, 210, 182)(170, 191, 197, 223, 212, 192)(173, 188, 216, 232, 222, 196)(175, 199, 227, 220, 190, 201)(178, 206, 195, 217, 231, 203)(184, 211, 224, 221, 230, 207)(186, 215, 226, 200, 228, 209)(193, 219, 233, 214, 229, 205)(235, 237, 244, 264, 251, 239)(236, 241, 256, 285, 260, 242)(238, 246, 266, 295, 271, 248)(240, 253, 278, 307, 281, 254)(243, 262, 290, 311, 287, 259)(245, 258, 249, 269, 279, 257)(247, 267, 297, 312, 289, 268)(250, 265, 293, 305, 299, 273)(252, 275, 302, 300, 304, 276)(255, 283, 272, 294, 308, 280)(261, 284, 310, 298, 301, 288)(263, 292, 303, 277, 274, 286)(270, 296, 309, 282, 306, 291)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 52, 52 ), ( 52^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1728
Graph:: simple bipartite
	v = 104 e = 156 f = 6
	degree seq :: [ 2^78, 6^26 ]

E24.1727 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 13})
Quotient :: loop^2
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2, Y3^-3 * Y1^-1 * Y2^-1, Y2^2 * Y1^2 * Y3^-1, Y3 * Y2 * Y1 * Y3^2, Y2^-1 * Y3 * Y1^-2 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-3, Y1^6, Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2^3 * Y1^-3, (Y2 * Y1^-1)^3, Y3 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2^2 * Y3^-1 * Y1 * Y2^-2 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 79, 157, 235, 4, 82, 160, 238, 17, 95, 173, 251, 23, 101, 179, 257, 43, 121, 199, 277, 68, 146, 224, 302, 65, 143, 221, 299, 51, 129, 207, 285, 35, 113, 191, 269, 36, 114, 192, 270, 12, 90, 168, 246, 31, 109, 187, 265, 7, 85, 163, 241)(2, 80, 158, 236, 9, 87, 165, 243, 27, 105, 183, 261, 6, 84, 162, 240, 25, 103, 181, 259, 61, 139, 217, 295, 19, 97, 175, 253, 45, 123, 201, 279, 71, 149, 227, 305, 58, 136, 214, 292, 28, 106, 184, 262, 44, 122, 200, 278, 11, 89, 167, 245)(3, 81, 159, 237, 5, 83, 161, 239, 21, 99, 177, 255, 50, 128, 206, 284, 29, 107, 185, 263, 30, 108, 186, 264, 57, 135, 213, 291, 74, 152, 230, 308, 56, 134, 212, 290, 16, 94, 172, 250, 18, 96, 174, 252, 54, 132, 210, 288, 15, 93, 171, 249)(8, 86, 164, 242, 33, 111, 189, 267, 41, 119, 197, 275, 10, 88, 166, 244, 39, 117, 195, 273, 59, 137, 215, 293, 37, 115, 193, 271, 69, 147, 225, 303, 60, 138, 216, 294, 24, 102, 180, 258, 42, 120, 198, 276, 67, 145, 223, 301, 26, 104, 182, 260)(13, 91, 169, 247, 14, 92, 170, 248, 48, 126, 204, 282, 55, 133, 211, 289, 52, 130, 208, 286, 53, 131, 209, 287, 64, 142, 220, 298, 70, 148, 226, 304, 63, 141, 219, 297, 20, 98, 176, 254, 22, 100, 178, 256, 66, 144, 222, 300, 47, 125, 203, 281)(32, 110, 188, 266, 46, 124, 202, 280, 73, 151, 229, 307, 34, 112, 190, 268, 62, 140, 218, 296, 75, 153, 231, 309, 72, 150, 228, 306, 78, 156, 234, 312, 76, 154, 232, 310, 38, 116, 194, 272, 49, 127, 205, 283, 77, 155, 233, 311, 40, 118, 196, 274)
	L = (1, 80)(2, 86)(3, 90)(4, 84)(5, 79)(6, 102)(7, 106)(8, 110)(9, 88)(10, 116)(11, 120)(12, 103)(13, 96)(14, 81)(15, 129)(16, 109)(17, 97)(18, 82)(19, 137)(20, 132)(21, 101)(22, 83)(23, 136)(24, 124)(25, 104)(26, 127)(27, 115)(28, 117)(29, 114)(30, 85)(31, 123)(32, 100)(33, 112)(34, 142)(35, 122)(36, 87)(37, 153)(38, 144)(39, 118)(40, 148)(41, 150)(42, 140)(43, 89)(44, 147)(45, 138)(46, 91)(47, 152)(48, 128)(49, 92)(50, 143)(51, 149)(52, 94)(53, 93)(54, 121)(55, 135)(56, 113)(57, 95)(58, 111)(59, 151)(60, 155)(61, 119)(62, 98)(63, 134)(64, 99)(65, 139)(66, 107)(67, 156)(68, 105)(69, 154)(70, 108)(71, 145)(72, 126)(73, 133)(74, 146)(75, 125)(76, 141)(77, 130)(78, 131)(157, 237)(158, 241)(159, 247)(160, 250)(161, 254)(162, 235)(163, 263)(164, 245)(165, 269)(166, 236)(167, 257)(168, 249)(169, 266)(170, 272)(171, 286)(172, 289)(173, 264)(174, 281)(175, 238)(176, 268)(177, 287)(178, 274)(179, 239)(180, 261)(181, 270)(182, 240)(183, 277)(184, 265)(185, 256)(186, 298)(187, 290)(188, 260)(189, 305)(190, 242)(191, 308)(192, 284)(193, 243)(194, 275)(195, 292)(196, 244)(197, 259)(198, 278)(199, 252)(200, 285)(201, 246)(202, 294)(203, 296)(204, 309)(205, 301)(206, 248)(207, 288)(208, 283)(209, 306)(210, 297)(211, 280)(212, 304)(213, 282)(214, 251)(215, 295)(216, 253)(217, 302)(218, 258)(219, 312)(220, 307)(221, 255)(222, 310)(223, 279)(224, 291)(225, 262)(226, 311)(227, 299)(228, 267)(229, 273)(230, 300)(231, 293)(232, 271)(233, 303)(234, 276)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1725
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 156 f = 104
	degree seq :: [ 52^6 ]

E24.1728 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 13})
Quotient :: loop^2
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-3 * Y2, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3^-3, Y3^2 * Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y2^6, Y1^6, (Y2 * Y1^-1)^3, Y2^2 * Y1 * Y3 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1^-2 * Y2^-1 ]
Map::
	R = (1, 79, 157, 235, 4, 82, 160, 238, 17, 95, 173, 251, 12, 90, 168, 246, 37, 115, 193, 271, 68, 146, 224, 302, 50, 128, 206, 284, 64, 142, 220, 298, 43, 121, 199, 277, 44, 122, 200, 278, 23, 101, 179, 257, 31, 109, 187, 265, 7, 85, 163, 241)(2, 80, 158, 236, 9, 87, 165, 243, 36, 114, 192, 270, 28, 106, 184, 262, 45, 123, 201, 279, 76, 154, 232, 310, 62, 140, 218, 296, 19, 97, 175, 253, 60, 138, 216, 294, 27, 105, 183, 261, 6, 84, 162, 240, 25, 103, 181, 259, 11, 89, 167, 245)(3, 81, 159, 237, 5, 83, 161, 239, 21, 99, 177, 255, 46, 124, 202, 280, 16, 94, 172, 250, 18, 96, 174, 252, 57, 135, 213, 291, 78, 156, 234, 312, 55, 133, 211, 289, 29, 107, 185, 263, 30, 108, 186, 264, 53, 131, 209, 287, 15, 93, 171, 249)(8, 86, 164, 242, 33, 111, 189, 267, 61, 139, 217, 295, 42, 120, 198, 276, 69, 147, 225, 303, 59, 137, 215, 293, 26, 104, 182, 260, 38, 116, 194, 272, 67, 145, 223, 301, 24, 102, 180, 258, 10, 88, 166, 244, 40, 118, 196, 274, 35, 113, 191, 269)(13, 91, 169, 247, 14, 92, 170, 248, 49, 127, 205, 283, 54, 132, 210, 288, 20, 98, 176, 254, 22, 100, 178, 256, 66, 144, 222, 300, 56, 134, 212, 290, 58, 136, 214, 292, 51, 129, 207, 285, 52, 130, 208, 286, 70, 148, 226, 304, 48, 126, 204, 282)(32, 110, 188, 266, 71, 149, 227, 305, 75, 153, 231, 309, 74, 152, 230, 308, 77, 155, 233, 311, 47, 125, 203, 281, 41, 119, 197, 275, 72, 150, 228, 306, 63, 141, 219, 297, 39, 117, 195, 273, 34, 112, 190, 268, 73, 151, 229, 307, 65, 143, 221, 299)
	L = (1, 80)(2, 86)(3, 90)(4, 84)(5, 79)(6, 102)(7, 106)(8, 110)(9, 88)(10, 117)(11, 120)(12, 123)(13, 124)(14, 81)(15, 128)(16, 115)(17, 97)(18, 82)(19, 137)(20, 94)(21, 101)(22, 83)(23, 105)(24, 143)(25, 104)(26, 141)(27, 113)(28, 147)(29, 95)(30, 85)(31, 140)(32, 100)(33, 112)(34, 92)(35, 152)(36, 116)(37, 87)(38, 125)(39, 98)(40, 119)(41, 91)(42, 155)(43, 114)(44, 89)(45, 111)(46, 142)(47, 132)(48, 135)(49, 108)(50, 138)(51, 99)(52, 93)(53, 122)(54, 156)(55, 146)(56, 133)(57, 109)(58, 96)(59, 151)(60, 139)(61, 150)(62, 145)(63, 134)(64, 154)(65, 136)(66, 131)(67, 153)(68, 103)(69, 149)(70, 107)(71, 127)(72, 130)(73, 148)(74, 129)(75, 126)(76, 118)(77, 144)(78, 121)(157, 237)(158, 241)(159, 247)(160, 250)(161, 254)(162, 235)(163, 263)(164, 245)(165, 246)(166, 236)(167, 277)(168, 249)(169, 281)(170, 273)(171, 285)(172, 288)(173, 289)(174, 290)(175, 238)(176, 297)(177, 292)(178, 299)(179, 239)(180, 261)(181, 271)(182, 240)(183, 278)(184, 265)(185, 286)(186, 248)(187, 252)(188, 269)(189, 262)(190, 242)(191, 294)(192, 298)(193, 280)(194, 243)(195, 258)(196, 279)(197, 244)(198, 259)(199, 291)(200, 264)(201, 251)(202, 282)(203, 260)(204, 305)(205, 266)(206, 287)(207, 309)(208, 275)(209, 256)(210, 311)(211, 300)(212, 306)(213, 304)(214, 307)(215, 296)(216, 302)(217, 253)(218, 257)(219, 293)(220, 255)(221, 301)(222, 308)(223, 310)(224, 312)(225, 270)(226, 268)(227, 276)(228, 267)(229, 303)(230, 274)(231, 272)(232, 284)(233, 295)(234, 283)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1726
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 156 f = 104
	degree seq :: [ 52^6 ]

E24.1729 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 13})
Quotient :: loop^2
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^3 * Y2^3, Y2^-2 * Y1^3 * Y2^-1, Y1^6, (Y2 * Y1^-1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^13 ]
Map:: polytopal non-degenerate
	R = (1, 79, 157, 235)(2, 80, 158, 236)(3, 81, 159, 237)(4, 82, 160, 238)(5, 83, 161, 239)(6, 84, 162, 240)(7, 85, 163, 241)(8, 86, 164, 242)(9, 87, 165, 243)(10, 88, 166, 244)(11, 89, 167, 245)(12, 90, 168, 246)(13, 91, 169, 247)(14, 92, 170, 248)(15, 93, 171, 249)(16, 94, 172, 250)(17, 95, 173, 251)(18, 96, 174, 252)(19, 97, 175, 253)(20, 98, 176, 254)(21, 99, 177, 255)(22, 100, 178, 256)(23, 101, 179, 257)(24, 102, 180, 258)(25, 103, 181, 259)(26, 104, 182, 260)(27, 105, 183, 261)(28, 106, 184, 262)(29, 107, 185, 263)(30, 108, 186, 264)(31, 109, 187, 265)(32, 110, 188, 266)(33, 111, 189, 267)(34, 112, 190, 268)(35, 113, 191, 269)(36, 114, 192, 270)(37, 115, 193, 271)(38, 116, 194, 272)(39, 117, 195, 273)(40, 118, 196, 274)(41, 119, 197, 275)(42, 120, 198, 276)(43, 121, 199, 277)(44, 122, 200, 278)(45, 123, 201, 279)(46, 124, 202, 280)(47, 125, 203, 281)(48, 126, 204, 282)(49, 127, 205, 283)(50, 128, 206, 284)(51, 129, 207, 285)(52, 130, 208, 286)(53, 131, 209, 287)(54, 132, 210, 288)(55, 133, 211, 289)(56, 134, 212, 290)(57, 135, 213, 291)(58, 136, 214, 292)(59, 137, 215, 293)(60, 138, 216, 294)(61, 139, 217, 295)(62, 140, 218, 296)(63, 141, 219, 297)(64, 142, 220, 298)(65, 143, 221, 299)(66, 144, 222, 300)(67, 145, 223, 301)(68, 146, 224, 302)(69, 147, 225, 303)(70, 148, 226, 304)(71, 149, 227, 305)(72, 150, 228, 306)(73, 151, 229, 307)(74, 152, 230, 308)(75, 153, 231, 309)(76, 154, 232, 310)(77, 155, 233, 311)(78, 156, 234, 312)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 93)(6, 96)(7, 99)(8, 102)(9, 105)(10, 108)(11, 81)(12, 112)(13, 82)(14, 114)(15, 109)(16, 83)(17, 110)(18, 91)(19, 119)(20, 121)(21, 123)(22, 126)(23, 85)(24, 127)(25, 86)(26, 128)(27, 95)(28, 133)(29, 136)(30, 94)(31, 88)(32, 89)(33, 140)(34, 120)(35, 90)(36, 122)(37, 92)(38, 132)(39, 124)(40, 144)(41, 113)(42, 97)(43, 115)(44, 98)(45, 104)(46, 107)(47, 151)(48, 103)(49, 100)(50, 101)(51, 118)(52, 149)(53, 145)(54, 156)(55, 148)(56, 117)(57, 106)(58, 152)(59, 146)(60, 153)(61, 154)(62, 155)(63, 111)(64, 150)(65, 116)(66, 147)(67, 125)(68, 135)(69, 139)(70, 137)(71, 141)(72, 131)(73, 142)(74, 134)(75, 143)(76, 129)(77, 130)(78, 138)(157, 237)(158, 241)(159, 244)(160, 246)(161, 235)(162, 253)(163, 256)(164, 236)(165, 262)(166, 252)(167, 258)(168, 254)(169, 260)(170, 238)(171, 272)(172, 273)(173, 239)(174, 251)(175, 248)(176, 240)(177, 280)(178, 247)(179, 277)(180, 286)(181, 287)(182, 242)(183, 282)(184, 290)(185, 243)(186, 294)(187, 292)(188, 293)(189, 245)(190, 298)(191, 249)(192, 285)(193, 291)(194, 276)(195, 295)(196, 250)(197, 301)(198, 264)(199, 303)(200, 304)(201, 270)(202, 306)(203, 255)(204, 267)(205, 307)(206, 308)(207, 257)(208, 261)(209, 309)(210, 259)(211, 268)(212, 266)(213, 305)(214, 274)(215, 263)(216, 269)(217, 265)(218, 271)(219, 312)(220, 302)(221, 310)(222, 311)(223, 289)(224, 275)(225, 279)(226, 296)(227, 278)(228, 284)(229, 288)(230, 281)(231, 283)(232, 297)(233, 299)(234, 300)
	local type(s) :: { ( 6, 26, 6, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1723
Transitivity :: VT+
Graph:: simple bipartite
	v = 78 e = 156 f = 32
	degree seq :: [ 4^78 ]

E24.1730 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 13})
Quotient :: loop^2
Aut^+ = (C13 : C3) : C2 (small group id <78, 1>)
Aut   = C2 x ((C13 : C3) : C2) (small group id <156, 8>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^2 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^6, Y1^6, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^13 ]
Map:: polytopal non-degenerate
	R = (1, 79, 157, 235)(2, 80, 158, 236)(3, 81, 159, 237)(4, 82, 160, 238)(5, 83, 161, 239)(6, 84, 162, 240)(7, 85, 163, 241)(8, 86, 164, 242)(9, 87, 165, 243)(10, 88, 166, 244)(11, 89, 167, 245)(12, 90, 168, 246)(13, 91, 169, 247)(14, 92, 170, 248)(15, 93, 171, 249)(16, 94, 172, 250)(17, 95, 173, 251)(18, 96, 174, 252)(19, 97, 175, 253)(20, 98, 176, 254)(21, 99, 177, 255)(22, 100, 178, 256)(23, 101, 179, 257)(24, 102, 180, 258)(25, 103, 181, 259)(26, 104, 182, 260)(27, 105, 183, 261)(28, 106, 184, 262)(29, 107, 185, 263)(30, 108, 186, 264)(31, 109, 187, 265)(32, 110, 188, 266)(33, 111, 189, 267)(34, 112, 190, 268)(35, 113, 191, 269)(36, 114, 192, 270)(37, 115, 193, 271)(38, 116, 194, 272)(39, 117, 195, 273)(40, 118, 196, 274)(41, 119, 197, 275)(42, 120, 198, 276)(43, 121, 199, 277)(44, 122, 200, 278)(45, 123, 201, 279)(46, 124, 202, 280)(47, 125, 203, 281)(48, 126, 204, 282)(49, 127, 205, 283)(50, 128, 206, 284)(51, 129, 207, 285)(52, 130, 208, 286)(53, 131, 209, 287)(54, 132, 210, 288)(55, 133, 211, 289)(56, 134, 212, 290)(57, 135, 213, 291)(58, 136, 214, 292)(59, 137, 215, 293)(60, 138, 216, 294)(61, 139, 217, 295)(62, 140, 218, 296)(63, 141, 219, 297)(64, 142, 220, 298)(65, 143, 221, 299)(66, 144, 222, 300)(67, 145, 223, 301)(68, 146, 224, 302)(69, 147, 225, 303)(70, 148, 226, 304)(71, 149, 227, 305)(72, 150, 228, 306)(73, 151, 229, 307)(74, 152, 230, 308)(75, 153, 231, 309)(76, 154, 232, 310)(77, 155, 233, 311)(78, 156, 234, 312)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 93)(6, 96)(7, 99)(8, 102)(9, 105)(10, 107)(11, 81)(12, 109)(13, 82)(14, 113)(15, 111)(16, 83)(17, 110)(18, 91)(19, 121)(20, 89)(21, 126)(22, 128)(23, 85)(24, 90)(25, 86)(26, 88)(27, 124)(28, 133)(29, 135)(30, 137)(31, 130)(32, 138)(33, 140)(34, 123)(35, 119)(36, 92)(37, 141)(38, 94)(39, 139)(40, 95)(41, 145)(42, 101)(43, 149)(44, 150)(45, 97)(46, 98)(47, 100)(48, 147)(49, 115)(50, 117)(51, 106)(52, 103)(53, 108)(54, 104)(55, 146)(56, 114)(57, 156)(58, 151)(59, 148)(60, 154)(61, 153)(62, 116)(63, 155)(64, 112)(65, 152)(66, 118)(67, 134)(68, 143)(69, 120)(70, 122)(71, 142)(72, 131)(73, 127)(74, 129)(75, 125)(76, 144)(77, 136)(78, 132)(157, 237)(158, 241)(159, 244)(160, 246)(161, 235)(162, 253)(163, 256)(164, 236)(165, 262)(166, 264)(167, 258)(168, 266)(169, 267)(170, 238)(171, 269)(172, 265)(173, 239)(174, 275)(175, 278)(176, 240)(177, 283)(178, 285)(179, 245)(180, 249)(181, 243)(182, 242)(183, 284)(184, 290)(185, 292)(186, 251)(187, 293)(188, 295)(189, 297)(190, 247)(191, 279)(192, 296)(193, 248)(194, 294)(195, 250)(196, 286)(197, 302)(198, 252)(199, 274)(200, 307)(201, 257)(202, 255)(203, 254)(204, 306)(205, 272)(206, 310)(207, 260)(208, 263)(209, 259)(210, 261)(211, 268)(212, 311)(213, 270)(214, 303)(215, 305)(216, 308)(217, 271)(218, 309)(219, 312)(220, 301)(221, 273)(222, 304)(223, 288)(224, 300)(225, 277)(226, 276)(227, 299)(228, 291)(229, 281)(230, 280)(231, 282)(232, 298)(233, 287)(234, 289)
	local type(s) :: { ( 6, 26, 6, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1724
Transitivity :: VT+
Graph:: simple bipartite
	v = 78 e = 156 f = 32
	degree seq :: [ 4^78 ]

E24.1731 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 6, 13})
Quotient :: edge
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X1^6, X2^-1 * X1 * X2^3 * X1^-1, X2^-1 * X1 * X2^-1 * X1^-1 * X2^-3, X2^-1 * X1^-3 * X2 * X1^3, X1 * X2^-2 * X1^-2 * X2^2 * X1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 47, 33, 11)(5, 15, 42, 48, 44, 16)(7, 21, 53, 37, 45, 23)(8, 24, 57, 38, 32, 25)(10, 29, 61, 73, 63, 31)(12, 30, 43, 19, 49, 36)(14, 39, 28, 20, 51, 40)(17, 46, 59, 74, 65, 34)(22, 54, 78, 64, 62, 55)(26, 58, 77, 70, 66, 56)(35, 67, 60, 50, 75, 68)(41, 71, 72, 52, 76, 69)(79, 81, 88, 108, 103, 133, 145, 149, 134, 101, 117, 95, 83)(80, 85, 100, 87, 106, 138, 107, 124, 150, 121, 93, 104, 86)(82, 90, 113, 123, 94, 109, 140, 144, 112, 89, 110, 119, 92)(84, 97, 128, 99, 120, 139, 132, 136, 137, 105, 102, 130, 98)(91, 115, 142, 111, 118, 146, 141, 143, 147, 114, 122, 148, 116)(96, 125, 151, 127, 135, 156, 153, 154, 155, 131, 129, 152, 126)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 12^6 ), ( 12^13 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 78 f = 13
	degree seq :: [ 6^13, 13^6 ]

E24.1732 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 6, 13})
Quotient :: loop
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X1^-3 * X2^3, X2^-2 * X1^-3 * X2^-1, (X2 * X1^-1)^3, X2 * X1^2 * X2 * X1^2 * X2 * X1^-1, X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 ]
Map:: non-degenerate
	R = (1, 79, 2, 80, 6, 84, 18, 96, 13, 91, 4, 82)(3, 81, 9, 87, 27, 105, 17, 95, 32, 110, 11, 89)(5, 83, 15, 93, 31, 109, 10, 88, 30, 108, 16, 94)(7, 85, 21, 99, 45, 123, 26, 104, 50, 128, 23, 101)(8, 86, 24, 102, 49, 127, 22, 100, 48, 126, 25, 103)(12, 90, 34, 112, 42, 120, 19, 97, 41, 119, 35, 113)(14, 92, 36, 114, 44, 122, 20, 98, 43, 121, 37, 115)(28, 106, 55, 133, 70, 148, 59, 137, 68, 146, 57, 135)(29, 107, 58, 136, 74, 152, 56, 134, 39, 117, 46, 124)(33, 111, 62, 140, 77, 155, 52, 130, 71, 149, 63, 141)(38, 116, 54, 132, 78, 156, 60, 138, 75, 153, 65, 143)(40, 118, 66, 144, 69, 147, 61, 139, 76, 154, 51, 129)(47, 125, 73, 151, 64, 142, 72, 150, 53, 131, 67, 145)
	L = (1, 81)(2, 85)(3, 88)(4, 90)(5, 79)(6, 97)(7, 100)(8, 80)(9, 106)(10, 96)(11, 102)(12, 98)(13, 104)(14, 82)(15, 116)(16, 117)(17, 83)(18, 95)(19, 92)(20, 84)(21, 124)(22, 91)(23, 121)(24, 130)(25, 131)(26, 86)(27, 126)(28, 134)(29, 87)(30, 138)(31, 136)(32, 137)(33, 89)(34, 142)(35, 93)(36, 129)(37, 135)(38, 120)(39, 139)(40, 94)(41, 145)(42, 108)(43, 147)(44, 148)(45, 114)(46, 150)(47, 99)(48, 111)(49, 151)(50, 152)(51, 101)(52, 105)(53, 153)(54, 103)(55, 112)(56, 110)(57, 149)(58, 118)(59, 107)(60, 113)(61, 109)(62, 115)(63, 156)(64, 146)(65, 154)(66, 155)(67, 133)(68, 119)(69, 123)(70, 140)(71, 122)(72, 128)(73, 132)(74, 125)(75, 127)(76, 141)(77, 143)(78, 144)
	local type(s) :: { ( 6, 13, 6, 13, 6, 13, 6, 13, 6, 13, 6, 13 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 13 e = 78 f = 19
	degree seq :: [ 12^13 ]

E24.1733 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 13})
Quotient :: edge
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^6, T2^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 66, 54, 42, 30, 18, 8)(4, 11, 22, 34, 46, 58, 69, 67, 56, 44, 32, 20, 10)(6, 15, 27, 39, 51, 63, 73, 74, 64, 52, 40, 28, 16)(12, 21, 33, 45, 57, 68, 75, 76, 70, 59, 47, 35, 23)(14, 25, 37, 49, 61, 71, 77, 78, 72, 62, 50, 38, 26)(79, 80, 84, 92, 90, 82)(81, 86, 93, 104, 99, 88)(83, 85, 94, 103, 101, 89)(87, 96, 105, 116, 111, 98)(91, 95, 106, 115, 113, 100)(97, 108, 117, 128, 123, 110)(102, 107, 118, 127, 125, 112)(109, 120, 129, 140, 135, 122)(114, 119, 130, 139, 137, 124)(121, 132, 141, 150, 146, 134)(126, 131, 142, 149, 148, 136)(133, 144, 151, 156, 153, 145)(138, 143, 152, 155, 154, 147)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 12^6 ), ( 12^13 ) }
Outer automorphisms :: reflexible
Dual of E24.1734
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 78 f = 13
	degree seq :: [ 6^13, 13^6 ]

E24.1734 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 13})
Quotient :: loop
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^2, (F * T2)^2, (F * T1)^2, T1^-2 * T2^4, (T2 * T1)^13 ]
Map:: non-degenerate
	R = (1, 79, 3, 81, 10, 88, 15, 93, 6, 84, 5, 83)(2, 80, 7, 85, 4, 82, 12, 90, 14, 92, 8, 86)(9, 87, 19, 97, 11, 89, 21, 99, 13, 91, 20, 98)(16, 94, 22, 100, 17, 95, 24, 102, 18, 96, 23, 101)(25, 103, 31, 109, 26, 104, 33, 111, 27, 105, 32, 110)(28, 106, 34, 112, 29, 107, 36, 114, 30, 108, 35, 113)(37, 115, 43, 121, 38, 116, 45, 123, 39, 117, 44, 122)(40, 118, 46, 124, 41, 119, 48, 126, 42, 120, 47, 125)(49, 127, 55, 133, 50, 128, 57, 135, 51, 129, 56, 134)(52, 130, 58, 136, 53, 131, 60, 138, 54, 132, 59, 137)(61, 139, 67, 145, 62, 140, 69, 147, 63, 141, 68, 146)(64, 142, 70, 148, 65, 143, 72, 150, 66, 144, 71, 149)(73, 151, 77, 155, 74, 152, 78, 156, 75, 153, 76, 154)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 91)(6, 92)(7, 94)(8, 96)(9, 83)(10, 82)(11, 81)(12, 95)(13, 93)(14, 88)(15, 89)(16, 86)(17, 85)(18, 90)(19, 103)(20, 105)(21, 104)(22, 106)(23, 108)(24, 107)(25, 98)(26, 97)(27, 99)(28, 101)(29, 100)(30, 102)(31, 115)(32, 117)(33, 116)(34, 118)(35, 120)(36, 119)(37, 110)(38, 109)(39, 111)(40, 113)(41, 112)(42, 114)(43, 127)(44, 129)(45, 128)(46, 130)(47, 132)(48, 131)(49, 122)(50, 121)(51, 123)(52, 125)(53, 124)(54, 126)(55, 139)(56, 141)(57, 140)(58, 142)(59, 144)(60, 143)(61, 134)(62, 133)(63, 135)(64, 137)(65, 136)(66, 138)(67, 151)(68, 153)(69, 152)(70, 154)(71, 156)(72, 155)(73, 146)(74, 145)(75, 147)(76, 149)(77, 148)(78, 150)
	local type(s) :: { ( 6, 13, 6, 13, 6, 13, 6, 13, 6, 13, 6, 13 ) }
Outer automorphisms :: reflexible
Dual of E24.1733
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 78 f = 19
	degree seq :: [ 12^13 ]

E24.1735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 13})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^6, (Y3^-1 * Y1^-1)^6, Y2^13 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 14, 92, 12, 90, 4, 82)(3, 81, 8, 86, 15, 93, 26, 104, 21, 99, 10, 88)(5, 83, 7, 85, 16, 94, 25, 103, 23, 101, 11, 89)(9, 87, 18, 96, 27, 105, 38, 116, 33, 111, 20, 98)(13, 91, 17, 95, 28, 106, 37, 115, 35, 113, 22, 100)(19, 97, 30, 108, 39, 117, 50, 128, 45, 123, 32, 110)(24, 102, 29, 107, 40, 118, 49, 127, 47, 125, 34, 112)(31, 109, 42, 120, 51, 129, 62, 140, 57, 135, 44, 122)(36, 114, 41, 119, 52, 130, 61, 139, 59, 137, 46, 124)(43, 121, 54, 132, 63, 141, 72, 150, 68, 146, 56, 134)(48, 126, 53, 131, 64, 142, 71, 149, 70, 148, 58, 136)(55, 133, 66, 144, 73, 151, 78, 156, 75, 153, 67, 145)(60, 138, 65, 143, 74, 152, 77, 155, 76, 154, 69, 147)(157, 235, 159, 237, 165, 243, 175, 253, 187, 265, 199, 277, 211, 289, 216, 294, 204, 282, 192, 270, 180, 258, 169, 247, 161, 239)(158, 236, 163, 241, 173, 251, 185, 263, 197, 275, 209, 287, 221, 299, 222, 300, 210, 288, 198, 276, 186, 264, 174, 252, 164, 242)(160, 238, 167, 245, 178, 256, 190, 268, 202, 280, 214, 292, 225, 303, 223, 301, 212, 290, 200, 278, 188, 266, 176, 254, 166, 244)(162, 240, 171, 249, 183, 261, 195, 273, 207, 285, 219, 297, 229, 307, 230, 308, 220, 298, 208, 286, 196, 274, 184, 262, 172, 250)(168, 246, 177, 255, 189, 267, 201, 279, 213, 291, 224, 302, 231, 309, 232, 310, 226, 304, 215, 293, 203, 281, 191, 269, 179, 257)(170, 248, 181, 259, 193, 271, 205, 283, 217, 295, 227, 305, 233, 311, 234, 312, 228, 306, 218, 296, 206, 284, 194, 272, 182, 260)
	L = (1, 159)(2, 163)(3, 165)(4, 167)(5, 157)(6, 171)(7, 173)(8, 158)(9, 175)(10, 160)(11, 178)(12, 177)(13, 161)(14, 181)(15, 183)(16, 162)(17, 185)(18, 164)(19, 187)(20, 166)(21, 189)(22, 190)(23, 168)(24, 169)(25, 193)(26, 170)(27, 195)(28, 172)(29, 197)(30, 174)(31, 199)(32, 176)(33, 201)(34, 202)(35, 179)(36, 180)(37, 205)(38, 182)(39, 207)(40, 184)(41, 209)(42, 186)(43, 211)(44, 188)(45, 213)(46, 214)(47, 191)(48, 192)(49, 217)(50, 194)(51, 219)(52, 196)(53, 221)(54, 198)(55, 216)(56, 200)(57, 224)(58, 225)(59, 203)(60, 204)(61, 227)(62, 206)(63, 229)(64, 208)(65, 222)(66, 210)(67, 212)(68, 231)(69, 223)(70, 215)(71, 233)(72, 218)(73, 230)(74, 220)(75, 232)(76, 226)(77, 234)(78, 228)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 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 E24.1736
Graph:: bipartite
	v = 19 e = 156 f = 91
	degree seq :: [ 12^13, 26^6 ]

E24.1736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 13})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)(157, 235, 158, 236, 162, 240, 170, 248, 168, 246, 160, 238)(159, 237, 164, 242, 171, 249, 182, 260, 177, 255, 166, 244)(161, 239, 163, 241, 172, 250, 181, 259, 179, 257, 167, 245)(165, 243, 174, 252, 183, 261, 194, 272, 189, 267, 176, 254)(169, 247, 173, 251, 184, 262, 193, 271, 191, 269, 178, 256)(175, 253, 186, 264, 195, 273, 206, 284, 201, 279, 188, 266)(180, 258, 185, 263, 196, 274, 205, 283, 203, 281, 190, 268)(187, 265, 198, 276, 207, 285, 218, 296, 213, 291, 200, 278)(192, 270, 197, 275, 208, 286, 217, 295, 215, 293, 202, 280)(199, 277, 210, 288, 219, 297, 228, 306, 224, 302, 212, 290)(204, 282, 209, 287, 220, 298, 227, 305, 226, 304, 214, 292)(211, 289, 222, 300, 229, 307, 234, 312, 231, 309, 223, 301)(216, 294, 221, 299, 230, 308, 233, 311, 232, 310, 225, 303)
	L = (1, 159)(2, 163)(3, 165)(4, 167)(5, 157)(6, 171)(7, 173)(8, 158)(9, 175)(10, 160)(11, 178)(12, 177)(13, 161)(14, 181)(15, 183)(16, 162)(17, 185)(18, 164)(19, 187)(20, 166)(21, 189)(22, 190)(23, 168)(24, 169)(25, 193)(26, 170)(27, 195)(28, 172)(29, 197)(30, 174)(31, 199)(32, 176)(33, 201)(34, 202)(35, 179)(36, 180)(37, 205)(38, 182)(39, 207)(40, 184)(41, 209)(42, 186)(43, 211)(44, 188)(45, 213)(46, 214)(47, 191)(48, 192)(49, 217)(50, 194)(51, 219)(52, 196)(53, 221)(54, 198)(55, 216)(56, 200)(57, 224)(58, 225)(59, 203)(60, 204)(61, 227)(62, 206)(63, 229)(64, 208)(65, 222)(66, 210)(67, 212)(68, 231)(69, 223)(70, 215)(71, 233)(72, 218)(73, 230)(74, 220)(75, 232)(76, 226)(77, 234)(78, 228)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 12, 26 ), ( 12, 26, 12, 26, 12, 26, 12, 26, 12, 26, 12, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1735
Graph:: simple bipartite
	v = 91 e = 156 f = 19
	degree seq :: [ 2^78, 12^13 ]

E24.1737 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 26, 26})
Quotient :: edge
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^26 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 77, 73, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 78, 76, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(79, 80, 82)(81, 86, 84)(83, 88, 85)(87, 90, 92)(89, 91, 94)(93, 98, 96)(95, 100, 97)(99, 102, 104)(101, 103, 106)(105, 110, 108)(107, 112, 109)(111, 114, 116)(113, 115, 118)(117, 122, 120)(119, 124, 121)(123, 126, 128)(125, 127, 130)(129, 134, 132)(131, 136, 133)(135, 138, 140)(137, 139, 142)(141, 146, 144)(143, 148, 145)(147, 150, 152)(149, 151, 154)(153, 156, 155)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1738
Transitivity :: ET+
Graph:: simple bipartite
	v = 29 e = 78 f = 3
	degree seq :: [ 3^26, 26^3 ]

E24.1738 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 26, 26})
Quotient :: loop
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^26 ]
Map:: non-degenerate
	R = (1, 79, 3, 81, 9, 87, 15, 93, 21, 99, 27, 105, 33, 111, 39, 117, 45, 123, 51, 129, 57, 135, 63, 141, 69, 147, 75, 153, 71, 149, 65, 143, 59, 137, 53, 131, 47, 125, 41, 119, 35, 113, 29, 107, 23, 101, 17, 95, 11, 89, 5, 83)(2, 80, 6, 84, 12, 90, 18, 96, 24, 102, 30, 108, 36, 114, 42, 120, 48, 126, 54, 132, 60, 138, 66, 144, 72, 150, 77, 155, 73, 151, 67, 145, 61, 139, 55, 133, 49, 127, 43, 121, 37, 115, 31, 109, 25, 103, 19, 97, 13, 91, 7, 85)(4, 82, 8, 86, 14, 92, 20, 98, 26, 104, 32, 110, 38, 116, 44, 122, 50, 128, 56, 134, 62, 140, 68, 146, 74, 152, 78, 156, 76, 154, 70, 148, 64, 142, 58, 136, 52, 130, 46, 124, 40, 118, 34, 112, 28, 106, 22, 100, 16, 94, 10, 88)
	L = (1, 80)(2, 82)(3, 86)(4, 79)(5, 88)(6, 81)(7, 83)(8, 84)(9, 90)(10, 85)(11, 91)(12, 92)(13, 94)(14, 87)(15, 98)(16, 89)(17, 100)(18, 93)(19, 95)(20, 96)(21, 102)(22, 97)(23, 103)(24, 104)(25, 106)(26, 99)(27, 110)(28, 101)(29, 112)(30, 105)(31, 107)(32, 108)(33, 114)(34, 109)(35, 115)(36, 116)(37, 118)(38, 111)(39, 122)(40, 113)(41, 124)(42, 117)(43, 119)(44, 120)(45, 126)(46, 121)(47, 127)(48, 128)(49, 130)(50, 123)(51, 134)(52, 125)(53, 136)(54, 129)(55, 131)(56, 132)(57, 138)(58, 133)(59, 139)(60, 140)(61, 142)(62, 135)(63, 146)(64, 137)(65, 148)(66, 141)(67, 143)(68, 144)(69, 150)(70, 145)(71, 151)(72, 152)(73, 154)(74, 147)(75, 156)(76, 149)(77, 153)(78, 155)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1737
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 78 f = 29
	degree seq :: [ 52^3 ]

E24.1739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 26, 26})
Quotient :: dipole
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^26, 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 ]
Map::
	R = (1, 79, 2, 80, 4, 82)(3, 81, 8, 86, 6, 84)(5, 83, 10, 88, 7, 85)(9, 87, 12, 90, 14, 92)(11, 89, 13, 91, 16, 94)(15, 93, 20, 98, 18, 96)(17, 95, 22, 100, 19, 97)(21, 99, 24, 102, 26, 104)(23, 101, 25, 103, 28, 106)(27, 105, 32, 110, 30, 108)(29, 107, 34, 112, 31, 109)(33, 111, 36, 114, 38, 116)(35, 113, 37, 115, 40, 118)(39, 117, 44, 122, 42, 120)(41, 119, 46, 124, 43, 121)(45, 123, 48, 126, 50, 128)(47, 125, 49, 127, 52, 130)(51, 129, 56, 134, 54, 132)(53, 131, 58, 136, 55, 133)(57, 135, 60, 138, 62, 140)(59, 137, 61, 139, 64, 142)(63, 141, 68, 146, 66, 144)(65, 143, 70, 148, 67, 145)(69, 147, 72, 150, 74, 152)(71, 149, 73, 151, 76, 154)(75, 153, 78, 156, 77, 155)(157, 235, 159, 237, 165, 243, 171, 249, 177, 255, 183, 261, 189, 267, 195, 273, 201, 279, 207, 285, 213, 291, 219, 297, 225, 303, 231, 309, 227, 305, 221, 299, 215, 293, 209, 287, 203, 281, 197, 275, 191, 269, 185, 263, 179, 257, 173, 251, 167, 245, 161, 239)(158, 236, 162, 240, 168, 246, 174, 252, 180, 258, 186, 264, 192, 270, 198, 276, 204, 282, 210, 288, 216, 294, 222, 300, 228, 306, 233, 311, 229, 307, 223, 301, 217, 295, 211, 289, 205, 283, 199, 277, 193, 271, 187, 265, 181, 259, 175, 253, 169, 247, 163, 241)(160, 238, 164, 242, 170, 248, 176, 254, 182, 260, 188, 266, 194, 272, 200, 278, 206, 284, 212, 290, 218, 296, 224, 302, 230, 308, 234, 312, 232, 310, 226, 304, 220, 298, 214, 292, 208, 286, 202, 280, 196, 274, 190, 268, 184, 262, 178, 256, 172, 250, 166, 244)
	L = (1, 160)(2, 157)(3, 162)(4, 158)(5, 163)(6, 164)(7, 166)(8, 159)(9, 170)(10, 161)(11, 172)(12, 165)(13, 167)(14, 168)(15, 174)(16, 169)(17, 175)(18, 176)(19, 178)(20, 171)(21, 182)(22, 173)(23, 184)(24, 177)(25, 179)(26, 180)(27, 186)(28, 181)(29, 187)(30, 188)(31, 190)(32, 183)(33, 194)(34, 185)(35, 196)(36, 189)(37, 191)(38, 192)(39, 198)(40, 193)(41, 199)(42, 200)(43, 202)(44, 195)(45, 206)(46, 197)(47, 208)(48, 201)(49, 203)(50, 204)(51, 210)(52, 205)(53, 211)(54, 212)(55, 214)(56, 207)(57, 218)(58, 209)(59, 220)(60, 213)(61, 215)(62, 216)(63, 222)(64, 217)(65, 223)(66, 224)(67, 226)(68, 219)(69, 230)(70, 221)(71, 232)(72, 225)(73, 227)(74, 228)(75, 233)(76, 229)(77, 234)(78, 231)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52 ), ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1740
Graph:: bipartite
	v = 29 e = 156 f = 81
	degree seq :: [ 6^26, 52^3 ]

E24.1740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 26, 26})
Quotient :: dipole
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^26 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 12, 90, 18, 96, 24, 102, 30, 108, 36, 114, 42, 120, 48, 126, 54, 132, 60, 138, 66, 144, 72, 150, 71, 149, 65, 143, 59, 137, 53, 131, 47, 125, 41, 119, 35, 113, 29, 107, 23, 101, 17, 95, 11, 89, 4, 82)(3, 81, 8, 86, 13, 91, 20, 98, 25, 103, 32, 110, 37, 115, 44, 122, 49, 127, 56, 134, 61, 139, 68, 146, 73, 151, 78, 156, 75, 153, 69, 147, 63, 141, 57, 135, 51, 129, 45, 123, 39, 117, 33, 111, 27, 105, 21, 99, 15, 93, 9, 87)(5, 83, 7, 85, 14, 92, 19, 97, 26, 104, 31, 109, 38, 116, 43, 121, 50, 128, 55, 133, 62, 140, 67, 145, 74, 152, 77, 155, 76, 154, 70, 148, 64, 142, 58, 136, 52, 130, 46, 124, 40, 118, 34, 112, 28, 106, 22, 100, 16, 94, 10, 88)(157, 235)(158, 236)(159, 237)(160, 238)(161, 239)(162, 240)(163, 241)(164, 242)(165, 243)(166, 244)(167, 245)(168, 246)(169, 247)(170, 248)(171, 249)(172, 250)(173, 251)(174, 252)(175, 253)(176, 254)(177, 255)(178, 256)(179, 257)(180, 258)(181, 259)(182, 260)(183, 261)(184, 262)(185, 263)(186, 264)(187, 265)(188, 266)(189, 267)(190, 268)(191, 269)(192, 270)(193, 271)(194, 272)(195, 273)(196, 274)(197, 275)(198, 276)(199, 277)(200, 278)(201, 279)(202, 280)(203, 281)(204, 282)(205, 283)(206, 284)(207, 285)(208, 286)(209, 287)(210, 288)(211, 289)(212, 290)(213, 291)(214, 292)(215, 293)(216, 294)(217, 295)(218, 296)(219, 297)(220, 298)(221, 299)(222, 300)(223, 301)(224, 302)(225, 303)(226, 304)(227, 305)(228, 306)(229, 307)(230, 308)(231, 309)(232, 310)(233, 311)(234, 312)
	L = (1, 159)(2, 163)(3, 161)(4, 166)(5, 157)(6, 169)(7, 164)(8, 158)(9, 160)(10, 165)(11, 171)(12, 175)(13, 170)(14, 162)(15, 172)(16, 167)(17, 178)(18, 181)(19, 176)(20, 168)(21, 173)(22, 177)(23, 183)(24, 187)(25, 182)(26, 174)(27, 184)(28, 179)(29, 190)(30, 193)(31, 188)(32, 180)(33, 185)(34, 189)(35, 195)(36, 199)(37, 194)(38, 186)(39, 196)(40, 191)(41, 202)(42, 205)(43, 200)(44, 192)(45, 197)(46, 201)(47, 207)(48, 211)(49, 206)(50, 198)(51, 208)(52, 203)(53, 214)(54, 217)(55, 212)(56, 204)(57, 209)(58, 213)(59, 219)(60, 223)(61, 218)(62, 210)(63, 220)(64, 215)(65, 226)(66, 229)(67, 224)(68, 216)(69, 221)(70, 225)(71, 231)(72, 233)(73, 230)(74, 222)(75, 232)(76, 227)(77, 234)(78, 228)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 6, 52 ), ( 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52, 6, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1739
Graph:: simple bipartite
	v = 81 e = 156 f = 29
	degree seq :: [ 2^78, 52^3 ]

E24.1741 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 20})
Quotient :: edge
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T2^4 * T1^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * 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)^20 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 14, 28, 11, 27, 15, 26)(19, 29, 22, 32, 21, 31, 23, 30)(33, 41, 35, 44, 34, 43, 36, 42)(37, 45, 39, 48, 38, 47, 40, 46)(49, 57, 51, 60, 50, 59, 52, 58)(53, 61, 55, 64, 54, 63, 56, 62)(65, 73, 67, 76, 66, 75, 68, 74)(69, 77, 71, 80, 70, 79, 72, 78)(81, 82, 86, 84)(83, 89, 97, 91)(85, 94, 98, 95)(87, 99, 92, 101)(88, 102, 93, 103)(90, 104, 96, 100)(105, 113, 107, 114)(106, 115, 108, 116)(109, 117, 111, 118)(110, 119, 112, 120)(121, 129, 123, 130)(122, 131, 124, 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, 158, 155, 160)(154, 157, 156, 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) :: { ( 40^4 ), ( 40^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1745
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 80 f = 4
	degree seq :: [ 4^20, 8^10 ]

E24.1742 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 20})
Quotient :: edge
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T1^-2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1^-1)^4, T1 * T2^9 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 46, 62, 71, 55, 39, 21, 36, 24, 42, 58, 74, 68, 52, 35, 17, 5)(2, 7, 22, 40, 56, 72, 64, 47, 31, 11, 30, 16, 34, 51, 67, 76, 60, 44, 26, 8)(4, 12, 32, 49, 65, 77, 61, 45, 27, 9, 18, 15, 33, 50, 66, 78, 63, 48, 29, 14)(6, 19, 37, 53, 69, 79, 73, 57, 41, 23, 13, 25, 43, 59, 75, 80, 70, 54, 38, 20)(81, 82, 86, 98, 116, 110, 93, 84)(83, 89, 105, 88, 104, 94, 99, 91)(85, 95, 103, 87, 101, 92, 100, 96)(90, 106, 117, 107, 122, 111, 123, 109)(97, 102, 118, 113, 119, 114, 121, 112)(108, 125, 139, 124, 138, 128, 133, 127)(115, 130, 137, 120, 135, 129, 134, 131)(126, 140, 149, 141, 154, 144, 155, 143)(132, 136, 150, 146, 151, 147, 153, 145)(142, 157, 160, 156, 148, 158, 159, 152)
	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 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1746
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 80 f = 20
	degree seq :: [ 8^10, 20^4 ]

E24.1743 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 20})
Quotient :: edge
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T1^-1 * T2^-2 * T1 * T2^-2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T1^-3 * T2^-2 * T1^-7, (T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 38, 19)(9, 26, 15, 27)(11, 29, 16, 30)(13, 25, 46, 33)(17, 36, 56, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 48, 34, 47)(32, 49, 64, 51)(35, 54, 72, 55)(39, 59, 40, 60)(45, 62, 52, 63)(50, 61, 69, 67)(53, 70, 66, 71)(57, 75, 58, 76)(65, 78, 68, 77)(73, 79, 74, 80)(81, 82, 86, 97, 115, 133, 149, 144, 126, 108, 90, 101, 118, 136, 152, 146, 130, 112, 93, 84)(83, 89, 105, 125, 141, 154, 135, 120, 99, 96, 85, 95, 113, 132, 147, 153, 134, 119, 98, 91)(87, 100, 92, 111, 129, 145, 151, 138, 117, 104, 88, 103, 94, 114, 131, 148, 150, 137, 116, 102)(106, 122, 109, 124, 139, 156, 159, 158, 143, 128, 107, 121, 110, 123, 140, 155, 160, 157, 142, 127)
	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 ), ( 16^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1744
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 80 f = 10
	degree seq :: [ 4^20, 20^4 ]

E24.1744 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 20})
Quotient :: loop
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T2^4 * T1^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * 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)^20 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 18, 98, 6, 86, 17, 97, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 13, 93, 4, 84, 12, 92, 24, 104, 8, 88)(9, 89, 25, 105, 14, 94, 28, 108, 11, 91, 27, 107, 15, 95, 26, 106)(19, 99, 29, 109, 22, 102, 32, 112, 21, 101, 31, 111, 23, 103, 30, 110)(33, 113, 41, 121, 35, 115, 44, 124, 34, 114, 43, 123, 36, 116, 42, 122)(37, 117, 45, 125, 39, 119, 48, 128, 38, 118, 47, 127, 40, 120, 46, 126)(49, 129, 57, 137, 51, 131, 60, 140, 50, 130, 59, 139, 52, 132, 58, 138)(53, 133, 61, 141, 55, 135, 64, 144, 54, 134, 63, 143, 56, 136, 62, 142)(65, 145, 73, 153, 67, 147, 76, 156, 66, 146, 75, 155, 68, 148, 74, 154)(69, 149, 77, 157, 71, 151, 80, 160, 70, 150, 79, 159, 72, 152, 78, 158)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 99)(8, 102)(9, 97)(10, 104)(11, 83)(12, 101)(13, 103)(14, 98)(15, 85)(16, 100)(17, 91)(18, 95)(19, 92)(20, 90)(21, 87)(22, 93)(23, 88)(24, 96)(25, 113)(26, 115)(27, 114)(28, 116)(29, 117)(30, 119)(31, 118)(32, 120)(33, 107)(34, 105)(35, 108)(36, 106)(37, 111)(38, 109)(39, 112)(40, 110)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 123)(50, 121)(51, 124)(52, 122)(53, 127)(54, 125)(55, 128)(56, 126)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 139)(66, 137)(67, 140)(68, 138)(69, 143)(70, 141)(71, 144)(72, 142)(73, 158)(74, 157)(75, 160)(76, 159)(77, 156)(78, 155)(79, 154)(80, 153)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.1743
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 80 f = 24
	degree seq :: [ 16^10 ]

E24.1745 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 20})
Quotient :: loop
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T1^-2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1^-1)^4, T1 * T2^9 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 28, 108, 46, 126, 62, 142, 71, 151, 55, 135, 39, 119, 21, 101, 36, 116, 24, 104, 42, 122, 58, 138, 74, 154, 68, 148, 52, 132, 35, 115, 17, 97, 5, 85)(2, 82, 7, 87, 22, 102, 40, 120, 56, 136, 72, 152, 64, 144, 47, 127, 31, 111, 11, 91, 30, 110, 16, 96, 34, 114, 51, 131, 67, 147, 76, 156, 60, 140, 44, 124, 26, 106, 8, 88)(4, 84, 12, 92, 32, 112, 49, 129, 65, 145, 77, 157, 61, 141, 45, 125, 27, 107, 9, 89, 18, 98, 15, 95, 33, 113, 50, 130, 66, 146, 78, 158, 63, 143, 48, 128, 29, 109, 14, 94)(6, 86, 19, 99, 37, 117, 53, 133, 69, 149, 79, 159, 73, 153, 57, 137, 41, 121, 23, 103, 13, 93, 25, 105, 43, 123, 59, 139, 75, 155, 80, 160, 70, 150, 54, 134, 38, 118, 20, 100)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 98)(7, 101)(8, 104)(9, 105)(10, 106)(11, 83)(12, 100)(13, 84)(14, 99)(15, 103)(16, 85)(17, 102)(18, 116)(19, 91)(20, 96)(21, 92)(22, 118)(23, 87)(24, 94)(25, 88)(26, 117)(27, 122)(28, 125)(29, 90)(30, 93)(31, 123)(32, 97)(33, 119)(34, 121)(35, 130)(36, 110)(37, 107)(38, 113)(39, 114)(40, 135)(41, 112)(42, 111)(43, 109)(44, 138)(45, 139)(46, 140)(47, 108)(48, 133)(49, 134)(50, 137)(51, 115)(52, 136)(53, 127)(54, 131)(55, 129)(56, 150)(57, 120)(58, 128)(59, 124)(60, 149)(61, 154)(62, 157)(63, 126)(64, 155)(65, 132)(66, 151)(67, 153)(68, 158)(69, 141)(70, 146)(71, 147)(72, 142)(73, 145)(74, 144)(75, 143)(76, 148)(77, 160)(78, 159)(79, 152)(80, 156)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.1741
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 80 f = 30
	degree seq :: [ 40^4 ]

E24.1746 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 20})
Quotient :: loop
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T1^-1 * T2^-2 * T1 * T2^-2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T1^-3 * T2^-2 * T1^-7, (T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 5, 85)(2, 82, 7, 87, 21, 101, 8, 88)(4, 84, 12, 92, 28, 108, 14, 94)(6, 86, 18, 98, 38, 118, 19, 99)(9, 89, 26, 106, 15, 95, 27, 107)(11, 91, 29, 109, 16, 96, 30, 110)(13, 93, 25, 105, 46, 126, 33, 113)(17, 97, 36, 116, 56, 136, 37, 117)(20, 100, 41, 121, 23, 103, 42, 122)(22, 102, 43, 123, 24, 104, 44, 124)(31, 111, 48, 128, 34, 114, 47, 127)(32, 112, 49, 129, 64, 144, 51, 131)(35, 115, 54, 134, 72, 152, 55, 135)(39, 119, 59, 139, 40, 120, 60, 140)(45, 125, 62, 142, 52, 132, 63, 143)(50, 130, 61, 141, 69, 149, 67, 147)(53, 133, 70, 150, 66, 146, 71, 151)(57, 137, 75, 155, 58, 138, 76, 156)(65, 145, 78, 158, 68, 148, 77, 157)(73, 153, 79, 159, 74, 154, 80, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 97)(7, 100)(8, 103)(9, 105)(10, 101)(11, 83)(12, 111)(13, 84)(14, 114)(15, 113)(16, 85)(17, 115)(18, 91)(19, 96)(20, 92)(21, 118)(22, 87)(23, 94)(24, 88)(25, 125)(26, 122)(27, 121)(28, 90)(29, 124)(30, 123)(31, 129)(32, 93)(33, 132)(34, 131)(35, 133)(36, 102)(37, 104)(38, 136)(39, 98)(40, 99)(41, 110)(42, 109)(43, 140)(44, 139)(45, 141)(46, 108)(47, 106)(48, 107)(49, 145)(50, 112)(51, 148)(52, 147)(53, 149)(54, 119)(55, 120)(56, 152)(57, 116)(58, 117)(59, 156)(60, 155)(61, 154)(62, 127)(63, 128)(64, 126)(65, 151)(66, 130)(67, 153)(68, 150)(69, 144)(70, 137)(71, 138)(72, 146)(73, 134)(74, 135)(75, 160)(76, 159)(77, 142)(78, 143)(79, 158)(80, 157)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.1742
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 14
	degree seq :: [ 8^20 ]

E24.1747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 20})
Quotient :: dipole
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2^-4 * Y1^-1, Y2^-1 * Y1^-2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * 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 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 24, 104, 16, 96, 20, 100)(25, 105, 33, 113, 27, 107, 34, 114)(26, 106, 35, 115, 28, 108, 36, 116)(29, 109, 37, 117, 31, 111, 38, 118)(30, 110, 39, 119, 32, 112, 40, 120)(41, 121, 49, 129, 43, 123, 50, 130)(42, 122, 51, 131, 44, 124, 52, 132)(45, 125, 53, 133, 47, 127, 54, 134)(46, 126, 55, 135, 48, 128, 56, 136)(57, 137, 65, 145, 59, 139, 66, 146)(58, 138, 67, 147, 60, 140, 68, 148)(61, 141, 69, 149, 63, 143, 70, 150)(62, 142, 71, 151, 64, 144, 72, 152)(73, 153, 78, 158, 75, 155, 80, 160)(74, 154, 77, 157, 76, 156, 79, 159)(161, 241, 163, 243, 170, 250, 178, 258, 166, 246, 177, 257, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 173, 253, 164, 244, 172, 252, 184, 264, 168, 248)(169, 249, 185, 265, 174, 254, 188, 268, 171, 251, 187, 267, 175, 255, 186, 266)(179, 259, 189, 269, 182, 262, 192, 272, 181, 261, 191, 271, 183, 263, 190, 270)(193, 273, 201, 281, 195, 275, 204, 284, 194, 274, 203, 283, 196, 276, 202, 282)(197, 277, 205, 285, 199, 279, 208, 288, 198, 278, 207, 287, 200, 280, 206, 286)(209, 289, 217, 297, 211, 291, 220, 300, 210, 290, 219, 299, 212, 292, 218, 298)(213, 293, 221, 301, 215, 295, 224, 304, 214, 294, 223, 303, 216, 296, 222, 302)(225, 305, 233, 313, 227, 307, 236, 316, 226, 306, 235, 315, 228, 308, 234, 314)(229, 309, 237, 317, 231, 311, 240, 320, 230, 310, 239, 319, 232, 312, 238, 318)
	L = (1, 164)(2, 161)(3, 171)(4, 166)(5, 175)(6, 162)(7, 181)(8, 183)(9, 163)(10, 180)(11, 177)(12, 179)(13, 182)(14, 165)(15, 178)(16, 184)(17, 169)(18, 174)(19, 167)(20, 176)(21, 172)(22, 168)(23, 173)(24, 170)(25, 194)(26, 196)(27, 193)(28, 195)(29, 198)(30, 200)(31, 197)(32, 199)(33, 185)(34, 187)(35, 186)(36, 188)(37, 189)(38, 191)(39, 190)(40, 192)(41, 210)(42, 212)(43, 209)(44, 211)(45, 214)(46, 216)(47, 213)(48, 215)(49, 201)(50, 203)(51, 202)(52, 204)(53, 205)(54, 207)(55, 206)(56, 208)(57, 226)(58, 228)(59, 225)(60, 227)(61, 230)(62, 232)(63, 229)(64, 231)(65, 217)(66, 219)(67, 218)(68, 220)(69, 221)(70, 223)(71, 222)(72, 224)(73, 240)(74, 239)(75, 238)(76, 237)(77, 234)(78, 233)(79, 236)(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) :: { ( 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 E24.1750
Graph:: bipartite
	v = 30 e = 160 f = 84
	degree seq :: [ 8^20, 16^10 ]

E24.1748 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 20})
Quotient :: dipole
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^3 * Y2 * Y1^-1, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1 * Y2^9 * Y1 * Y2^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 36, 116, 30, 110, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 8, 88, 24, 104, 14, 94, 19, 99, 11, 91)(5, 85, 15, 95, 23, 103, 7, 87, 21, 101, 12, 92, 20, 100, 16, 96)(10, 90, 26, 106, 37, 117, 27, 107, 42, 122, 31, 111, 43, 123, 29, 109)(17, 97, 22, 102, 38, 118, 33, 113, 39, 119, 34, 114, 41, 121, 32, 112)(28, 108, 45, 125, 59, 139, 44, 124, 58, 138, 48, 128, 53, 133, 47, 127)(35, 115, 50, 130, 57, 137, 40, 120, 55, 135, 49, 129, 54, 134, 51, 131)(46, 126, 60, 140, 69, 149, 61, 141, 74, 154, 64, 144, 75, 155, 63, 143)(52, 132, 56, 136, 70, 150, 66, 146, 71, 151, 67, 147, 73, 153, 65, 145)(62, 142, 77, 157, 80, 160, 76, 156, 68, 148, 78, 158, 79, 159, 72, 152)(161, 241, 163, 243, 170, 250, 188, 268, 206, 286, 222, 302, 231, 311, 215, 295, 199, 279, 181, 261, 196, 276, 184, 264, 202, 282, 218, 298, 234, 314, 228, 308, 212, 292, 195, 275, 177, 257, 165, 245)(162, 242, 167, 247, 182, 262, 200, 280, 216, 296, 232, 312, 224, 304, 207, 287, 191, 271, 171, 251, 190, 270, 176, 256, 194, 274, 211, 291, 227, 307, 236, 316, 220, 300, 204, 284, 186, 266, 168, 248)(164, 244, 172, 252, 192, 272, 209, 289, 225, 305, 237, 317, 221, 301, 205, 285, 187, 267, 169, 249, 178, 258, 175, 255, 193, 273, 210, 290, 226, 306, 238, 318, 223, 303, 208, 288, 189, 269, 174, 254)(166, 246, 179, 259, 197, 277, 213, 293, 229, 309, 239, 319, 233, 313, 217, 297, 201, 281, 183, 263, 173, 253, 185, 265, 203, 283, 219, 299, 235, 315, 240, 320, 230, 310, 214, 294, 198, 278, 180, 260)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 179)(7, 182)(8, 162)(9, 178)(10, 188)(11, 190)(12, 192)(13, 185)(14, 164)(15, 193)(16, 194)(17, 165)(18, 175)(19, 197)(20, 166)(21, 196)(22, 200)(23, 173)(24, 202)(25, 203)(26, 168)(27, 169)(28, 206)(29, 174)(30, 176)(31, 171)(32, 209)(33, 210)(34, 211)(35, 177)(36, 184)(37, 213)(38, 180)(39, 181)(40, 216)(41, 183)(42, 218)(43, 219)(44, 186)(45, 187)(46, 222)(47, 191)(48, 189)(49, 225)(50, 226)(51, 227)(52, 195)(53, 229)(54, 198)(55, 199)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 231)(63, 208)(64, 207)(65, 237)(66, 238)(67, 236)(68, 212)(69, 239)(70, 214)(71, 215)(72, 224)(73, 217)(74, 228)(75, 240)(76, 220)(77, 221)(78, 223)(79, 233)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E24.1749
Graph:: bipartite
	v = 14 e = 160 f = 100
	degree seq :: [ 16^10, 40^4 ]

E24.1749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 20})
Quotient :: dipole
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y3^-8 * Y2^-1, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242, 166, 246, 164, 244)(163, 243, 169, 249, 177, 257, 171, 251)(165, 245, 174, 254, 178, 258, 175, 255)(167, 247, 179, 259, 172, 252, 181, 261)(168, 248, 182, 262, 173, 253, 183, 263)(170, 250, 184, 264, 195, 275, 188, 268)(176, 256, 180, 260, 196, 276, 191, 271)(185, 265, 200, 280, 189, 269, 197, 277)(186, 266, 203, 283, 190, 270, 202, 282)(187, 267, 205, 285, 213, 293, 207, 287)(192, 272, 201, 281, 193, 273, 198, 278)(194, 274, 210, 290, 214, 294, 211, 291)(199, 279, 215, 295, 209, 289, 217, 297)(204, 284, 218, 298, 208, 288, 219, 299)(206, 286, 220, 300, 229, 309, 223, 303)(212, 292, 216, 296, 230, 310, 225, 305)(221, 301, 235, 315, 224, 304, 234, 314)(222, 302, 237, 317, 228, 308, 238, 318)(226, 306, 233, 313, 227, 307, 231, 311)(232, 312, 239, 319, 236, 316, 240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 229)(54, 196)(55, 198)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 230)(63, 208)(64, 207)(65, 236)(66, 238)(67, 237)(68, 212)(69, 228)(70, 214)(71, 215)(72, 223)(73, 217)(74, 240)(75, 239)(76, 220)(77, 221)(78, 224)(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) :: { ( 16, 40 ), ( 16, 40, 16, 40, 16, 40, 16, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.1748
Graph:: simple bipartite
	v = 100 e = 160 f = 14
	degree seq :: [ 2^80, 8^20 ]

E24.1750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 20})
Quotient :: dipole
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-2 * Y3 * Y1^4 * Y3 * Y1^-4 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 17, 97, 35, 115, 53, 133, 69, 149, 64, 144, 46, 126, 28, 108, 10, 90, 21, 101, 38, 118, 56, 136, 72, 152, 66, 146, 50, 130, 32, 112, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 45, 125, 61, 141, 74, 154, 55, 135, 40, 120, 19, 99, 16, 96, 5, 85, 15, 95, 33, 113, 52, 132, 67, 147, 73, 153, 54, 134, 39, 119, 18, 98, 11, 91)(7, 87, 20, 100, 12, 92, 31, 111, 49, 129, 65, 145, 71, 151, 58, 138, 37, 117, 24, 104, 8, 88, 23, 103, 14, 94, 34, 114, 51, 131, 68, 148, 70, 150, 57, 137, 36, 116, 22, 102)(26, 106, 42, 122, 29, 109, 44, 124, 59, 139, 76, 156, 79, 159, 78, 158, 63, 143, 48, 128, 27, 107, 41, 121, 30, 110, 43, 123, 60, 140, 75, 155, 80, 160, 77, 157, 62, 142, 47, 127)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 178)(7, 181)(8, 162)(9, 186)(10, 165)(11, 189)(12, 188)(13, 185)(14, 164)(15, 187)(16, 190)(17, 196)(18, 198)(19, 166)(20, 201)(21, 168)(22, 203)(23, 202)(24, 204)(25, 206)(26, 175)(27, 169)(28, 174)(29, 176)(30, 171)(31, 208)(32, 209)(33, 173)(34, 207)(35, 214)(36, 216)(37, 177)(38, 179)(39, 219)(40, 220)(41, 183)(42, 180)(43, 184)(44, 182)(45, 222)(46, 193)(47, 191)(48, 194)(49, 224)(50, 221)(51, 192)(52, 223)(53, 230)(54, 232)(55, 195)(56, 197)(57, 235)(58, 236)(59, 200)(60, 199)(61, 229)(62, 212)(63, 205)(64, 211)(65, 238)(66, 231)(67, 210)(68, 237)(69, 227)(70, 226)(71, 213)(72, 215)(73, 239)(74, 240)(75, 218)(76, 217)(77, 225)(78, 228)(79, 234)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E24.1747
Graph:: simple bipartite
	v = 84 e = 160 f = 30
	degree seq :: [ 2^80, 40^4 ]

E24.1751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 20})
Quotient :: dipole
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1 * Y3^-2 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^2 * Y3 * Y2^-8 * Y1^-1, (Y3 * Y2)^8 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 24, 104, 35, 115, 28, 108)(16, 96, 20, 100, 36, 116, 31, 111)(25, 105, 40, 120, 29, 109, 37, 117)(26, 106, 43, 123, 30, 110, 42, 122)(27, 107, 45, 125, 53, 133, 47, 127)(32, 112, 41, 121, 33, 113, 38, 118)(34, 114, 50, 130, 54, 134, 51, 131)(39, 119, 55, 135, 49, 129, 57, 137)(44, 124, 58, 138, 48, 128, 59, 139)(46, 126, 60, 140, 69, 149, 63, 143)(52, 132, 56, 136, 70, 150, 65, 145)(61, 141, 75, 155, 64, 144, 74, 154)(62, 142, 77, 157, 68, 148, 78, 158)(66, 146, 73, 153, 67, 147, 71, 151)(72, 152, 79, 159, 76, 156, 80, 160)(161, 241, 163, 243, 170, 250, 187, 267, 206, 286, 222, 302, 230, 310, 214, 294, 196, 276, 178, 258, 166, 246, 177, 257, 195, 275, 213, 293, 229, 309, 228, 308, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 216, 296, 232, 312, 223, 303, 208, 288, 188, 268, 173, 253, 164, 244, 172, 252, 191, 271, 209, 289, 225, 305, 236, 316, 220, 300, 204, 284, 184, 264, 168, 248)(169, 249, 185, 265, 174, 254, 192, 272, 210, 290, 226, 306, 238, 318, 224, 304, 207, 287, 190, 270, 171, 251, 189, 269, 175, 255, 193, 273, 211, 291, 227, 307, 237, 317, 221, 301, 205, 285, 186, 266)(179, 259, 197, 277, 182, 262, 202, 282, 218, 298, 234, 314, 240, 320, 233, 313, 217, 297, 201, 281, 181, 261, 200, 280, 183, 263, 203, 283, 219, 299, 235, 315, 239, 319, 231, 311, 215, 295, 198, 278)
	L = (1, 164)(2, 161)(3, 171)(4, 166)(5, 175)(6, 162)(7, 181)(8, 183)(9, 163)(10, 188)(11, 177)(12, 179)(13, 182)(14, 165)(15, 178)(16, 191)(17, 169)(18, 174)(19, 167)(20, 176)(21, 172)(22, 168)(23, 173)(24, 170)(25, 197)(26, 202)(27, 207)(28, 195)(29, 200)(30, 203)(31, 196)(32, 198)(33, 201)(34, 211)(35, 184)(36, 180)(37, 189)(38, 193)(39, 217)(40, 185)(41, 192)(42, 190)(43, 186)(44, 219)(45, 187)(46, 223)(47, 213)(48, 218)(49, 215)(50, 194)(51, 214)(52, 225)(53, 205)(54, 210)(55, 199)(56, 212)(57, 209)(58, 204)(59, 208)(60, 206)(61, 234)(62, 238)(63, 229)(64, 235)(65, 230)(66, 231)(67, 233)(68, 237)(69, 220)(70, 216)(71, 227)(72, 240)(73, 226)(74, 224)(75, 221)(76, 239)(77, 222)(78, 228)(79, 232)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E24.1752
Graph:: bipartite
	v = 24 e = 160 f = 90
	degree seq :: [ 8^20, 40^4 ]

E24.1752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 20})
Quotient :: dipole
Aut^+ = C5 : Q16 (small group id <80, 18>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y3 * Y1^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y3^-2 * Y1^-1 * Y3^-2 * Y1, Y1 * Y3^9 * Y1 * Y3^-1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 36, 116, 30, 110, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 8, 88, 24, 104, 14, 94, 19, 99, 11, 91)(5, 85, 15, 95, 23, 103, 7, 87, 21, 101, 12, 92, 20, 100, 16, 96)(10, 90, 26, 106, 37, 117, 27, 107, 42, 122, 31, 111, 43, 123, 29, 109)(17, 97, 22, 102, 38, 118, 33, 113, 39, 119, 34, 114, 41, 121, 32, 112)(28, 108, 45, 125, 59, 139, 44, 124, 58, 138, 48, 128, 53, 133, 47, 127)(35, 115, 50, 130, 57, 137, 40, 120, 55, 135, 49, 129, 54, 134, 51, 131)(46, 126, 60, 140, 69, 149, 61, 141, 74, 154, 64, 144, 75, 155, 63, 143)(52, 132, 56, 136, 70, 150, 66, 146, 71, 151, 67, 147, 73, 153, 65, 145)(62, 142, 77, 157, 80, 160, 76, 156, 68, 148, 78, 158, 79, 159, 72, 152)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 179)(7, 182)(8, 162)(9, 178)(10, 188)(11, 190)(12, 192)(13, 185)(14, 164)(15, 193)(16, 194)(17, 165)(18, 175)(19, 197)(20, 166)(21, 196)(22, 200)(23, 173)(24, 202)(25, 203)(26, 168)(27, 169)(28, 206)(29, 174)(30, 176)(31, 171)(32, 209)(33, 210)(34, 211)(35, 177)(36, 184)(37, 213)(38, 180)(39, 181)(40, 216)(41, 183)(42, 218)(43, 219)(44, 186)(45, 187)(46, 222)(47, 191)(48, 189)(49, 225)(50, 226)(51, 227)(52, 195)(53, 229)(54, 198)(55, 199)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 231)(63, 208)(64, 207)(65, 237)(66, 238)(67, 236)(68, 212)(69, 239)(70, 214)(71, 215)(72, 224)(73, 217)(74, 228)(75, 240)(76, 220)(77, 221)(78, 223)(79, 233)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.1751
Graph:: simple bipartite
	v = 90 e = 160 f = 24
	degree seq :: [ 2^80, 16^10 ]

E24.1753 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 14, 21})
Quotient :: edge
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1, T1^-1)^2, T2^-2 * T1^-1 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2^5 * T1^-1 * T2 * T1^-1, T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 24, 47, 69, 84, 66, 83, 64, 63, 35, 15, 5)(2, 6, 17, 38, 67, 61, 81, 53, 80, 51, 72, 43, 21, 7)(4, 11, 25, 49, 77, 59, 76, 46, 74, 44, 73, 58, 32, 12)(8, 22, 45, 75, 57, 31, 55, 29, 54, 79, 60, 33, 13, 23)(10, 26, 48, 70, 41, 19, 37, 16, 36, 65, 62, 34, 14, 27)(18, 39, 68, 82, 56, 30, 52, 28, 50, 78, 71, 42, 20, 40)(85, 86, 88)(87, 92, 94)(89, 97, 98)(90, 100, 102)(91, 103, 104)(93, 101, 109)(95, 112, 113)(96, 114, 115)(99, 105, 116)(106, 128, 123)(107, 130, 124)(108, 129, 132)(110, 134, 135)(111, 136, 137)(117, 143, 126)(118, 140, 145)(119, 144, 146)(120, 148, 138)(121, 150, 139)(122, 149, 152)(125, 153, 141)(127, 154, 155)(131, 151, 161)(133, 162, 163)(142, 166, 159)(147, 156, 157)(158, 167, 164)(160, 168, 165)
	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) :: { ( 42^3 ), ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1757
Transitivity :: ET+
Graph:: simple bipartite
	v = 34 e = 84 f = 4
	degree seq :: [ 3^28, 14^6 ]

E24.1754 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 14, 21})
Quotient :: edge
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^3, T1 * T2^-1 * T1^-2 * T2 * T1, T2^-1 * T1^2 * T2^-2 * T1^2, T2^-3 * T1^-1 * T2^3 * T1, (T1, T2, T1^-1), T2 * T1 * T2^-3 * T1^-1 * T2^2, T1^14, T2^21 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 64, 82, 83, 70, 38, 13, 33, 20, 6, 19, 48, 78, 80, 75, 45, 17, 5)(2, 7, 22, 51, 72, 68, 71, 39, 14, 4, 12, 35, 18, 46, 76, 84, 81, 60, 37, 26, 8)(9, 27, 59, 56, 24, 55, 44, 50, 34, 11, 32, 67, 47, 25, 57, 79, 52, 74, 43, 61, 28)(15, 40, 63, 29, 62, 36, 69, 49, 21, 16, 42, 66, 31, 65, 58, 77, 54, 23, 53, 73, 41)(85, 86, 90, 102, 114, 135, 162, 168, 167, 155, 129, 121, 97, 88)(87, 93, 103, 131, 148, 140, 164, 163, 154, 128, 101, 127, 117, 95)(89, 99, 104, 115, 94, 113, 132, 161, 166, 153, 159, 137, 122, 100)(91, 105, 130, 125, 156, 150, 165, 147, 123, 142, 110, 120, 96, 107)(92, 108, 119, 136, 106, 134, 160, 145, 152, 116, 144, 111, 98, 109)(112, 133, 151, 157, 143, 126, 141, 124, 139, 149, 158, 146, 118, 138)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6^14 ), ( 6^21 ) }
Outer automorphisms :: reflexible
Dual of E24.1758
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 84 f = 28
	degree seq :: [ 14^6, 21^4 ]

E24.1755 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 14, 21})
Quotient :: edge
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, (T2^-1, T1)^2, T1^-1 * T2 * T1^-2 * T2 * T1^-4, T1 * T2 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2, (T2^-1 * T1^-1)^14 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 33)(14, 37, 38)(15, 39, 41)(16, 43, 44)(19, 49, 50)(20, 34, 52)(21, 54, 23)(22, 55, 56)(27, 59, 61)(29, 57, 62)(30, 40, 65)(32, 60, 68)(35, 63, 71)(36, 58, 72)(42, 73, 64)(45, 76, 77)(46, 78, 48)(47, 79, 80)(51, 82, 83)(53, 81, 67)(66, 70, 75)(69, 74, 84)(85, 86, 90, 100, 126, 143, 166, 141, 108, 133, 160, 168, 155, 125, 140, 164, 156, 151, 116, 96, 88)(87, 93, 107, 127, 158, 149, 167, 139, 121, 134, 165, 154, 119, 97, 118, 131, 102, 130, 144, 111, 94)(89, 98, 120, 128, 150, 115, 135, 104, 91, 103, 132, 157, 147, 112, 146, 163, 138, 161, 152, 124, 99)(92, 105, 137, 148, 114, 95, 113, 122, 101, 129, 159, 145, 123, 136, 109, 142, 162, 153, 117, 110, 106)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28^3 ), ( 28^21 ) }
Outer automorphisms :: reflexible
Dual of E24.1756
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 84 f = 6
	degree seq :: [ 3^28, 21^4 ]

E24.1756 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 14, 21})
Quotient :: loop
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1, T1^-1)^2, T2^-2 * T1^-1 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2^5 * T1^-1 * T2 * T1^-1, T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^4 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 9, 93, 24, 108, 47, 131, 69, 153, 84, 168, 66, 150, 83, 167, 64, 148, 63, 147, 35, 119, 15, 99, 5, 89)(2, 86, 6, 90, 17, 101, 38, 122, 67, 151, 61, 145, 81, 165, 53, 137, 80, 164, 51, 135, 72, 156, 43, 127, 21, 105, 7, 91)(4, 88, 11, 95, 25, 109, 49, 133, 77, 161, 59, 143, 76, 160, 46, 130, 74, 158, 44, 128, 73, 157, 58, 142, 32, 116, 12, 96)(8, 92, 22, 106, 45, 129, 75, 159, 57, 141, 31, 115, 55, 139, 29, 113, 54, 138, 79, 163, 60, 144, 33, 117, 13, 97, 23, 107)(10, 94, 26, 110, 48, 132, 70, 154, 41, 125, 19, 103, 37, 121, 16, 100, 36, 120, 65, 149, 62, 146, 34, 118, 14, 98, 27, 111)(18, 102, 39, 123, 68, 152, 82, 166, 56, 140, 30, 114, 52, 136, 28, 112, 50, 134, 78, 162, 71, 155, 42, 126, 20, 104, 40, 124)
	L = (1, 86)(2, 88)(3, 92)(4, 85)(5, 97)(6, 100)(7, 103)(8, 94)(9, 101)(10, 87)(11, 112)(12, 114)(13, 98)(14, 89)(15, 105)(16, 102)(17, 109)(18, 90)(19, 104)(20, 91)(21, 116)(22, 128)(23, 130)(24, 129)(25, 93)(26, 134)(27, 136)(28, 113)(29, 95)(30, 115)(31, 96)(32, 99)(33, 143)(34, 140)(35, 144)(36, 148)(37, 150)(38, 149)(39, 106)(40, 107)(41, 153)(42, 117)(43, 154)(44, 123)(45, 132)(46, 124)(47, 151)(48, 108)(49, 162)(50, 135)(51, 110)(52, 137)(53, 111)(54, 120)(55, 121)(56, 145)(57, 125)(58, 166)(59, 126)(60, 146)(61, 118)(62, 119)(63, 156)(64, 138)(65, 152)(66, 139)(67, 161)(68, 122)(69, 141)(70, 155)(71, 127)(72, 157)(73, 147)(74, 167)(75, 142)(76, 168)(77, 131)(78, 163)(79, 133)(80, 158)(81, 160)(82, 159)(83, 164)(84, 165)
	local type(s) :: { ( 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21 ) }
Outer automorphisms :: reflexible
Dual of E24.1755
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 84 f = 32
	degree seq :: [ 28^6 ]

E24.1757 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 14, 21})
Quotient :: loop
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^3, T1 * T2^-1 * T1^-2 * T2 * T1, T2^-1 * T1^2 * T2^-2 * T1^2, T2^-3 * T1^-1 * T2^3 * T1, (T1, T2, T1^-1), T2 * T1 * T2^-3 * T1^-1 * T2^2, T1^14, T2^21 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 10, 94, 30, 114, 64, 148, 82, 166, 83, 167, 70, 154, 38, 122, 13, 97, 33, 117, 20, 104, 6, 90, 19, 103, 48, 132, 78, 162, 80, 164, 75, 159, 45, 129, 17, 101, 5, 89)(2, 86, 7, 91, 22, 106, 51, 135, 72, 156, 68, 152, 71, 155, 39, 123, 14, 98, 4, 88, 12, 96, 35, 119, 18, 102, 46, 130, 76, 160, 84, 168, 81, 165, 60, 144, 37, 121, 26, 110, 8, 92)(9, 93, 27, 111, 59, 143, 56, 140, 24, 108, 55, 139, 44, 128, 50, 134, 34, 118, 11, 95, 32, 116, 67, 151, 47, 131, 25, 109, 57, 141, 79, 163, 52, 136, 74, 158, 43, 127, 61, 145, 28, 112)(15, 99, 40, 124, 63, 147, 29, 113, 62, 146, 36, 120, 69, 153, 49, 133, 21, 105, 16, 100, 42, 126, 66, 150, 31, 115, 65, 149, 58, 142, 77, 161, 54, 138, 23, 107, 53, 137, 73, 157, 41, 125)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 103)(10, 113)(11, 87)(12, 107)(13, 88)(14, 109)(15, 104)(16, 89)(17, 127)(18, 114)(19, 131)(20, 115)(21, 130)(22, 134)(23, 91)(24, 119)(25, 92)(26, 120)(27, 98)(28, 133)(29, 132)(30, 135)(31, 94)(32, 144)(33, 95)(34, 138)(35, 136)(36, 96)(37, 97)(38, 100)(39, 142)(40, 139)(41, 156)(42, 141)(43, 117)(44, 101)(45, 121)(46, 125)(47, 148)(48, 161)(49, 151)(50, 160)(51, 162)(52, 106)(53, 122)(54, 112)(55, 149)(56, 164)(57, 124)(58, 110)(59, 126)(60, 111)(61, 152)(62, 118)(63, 123)(64, 140)(65, 158)(66, 165)(67, 157)(68, 116)(69, 159)(70, 128)(71, 129)(72, 150)(73, 143)(74, 146)(75, 137)(76, 145)(77, 166)(78, 168)(79, 154)(80, 163)(81, 147)(82, 153)(83, 155)(84, 167)
	local type(s) :: { ( 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.1753
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 84 f = 34
	degree seq :: [ 42^4 ]

E24.1758 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 14, 21})
Quotient :: loop
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, (T2^-1, T1)^2, T1^-1 * T2 * T1^-2 * T2 * T1^-4, T1 * T2 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2, (T2^-1 * T1^-1)^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 3, 87, 5, 89)(2, 86, 7, 91, 8, 92)(4, 88, 11, 95, 13, 97)(6, 90, 17, 101, 18, 102)(9, 93, 24, 108, 25, 109)(10, 94, 26, 110, 28, 112)(12, 96, 31, 115, 33, 117)(14, 98, 37, 121, 38, 122)(15, 99, 39, 123, 41, 125)(16, 100, 43, 127, 44, 128)(19, 103, 49, 133, 50, 134)(20, 104, 34, 118, 52, 136)(21, 105, 54, 138, 23, 107)(22, 106, 55, 139, 56, 140)(27, 111, 59, 143, 61, 145)(29, 113, 57, 141, 62, 146)(30, 114, 40, 124, 65, 149)(32, 116, 60, 144, 68, 152)(35, 119, 63, 147, 71, 155)(36, 120, 58, 142, 72, 156)(42, 126, 73, 157, 64, 148)(45, 129, 76, 160, 77, 161)(46, 130, 78, 162, 48, 132)(47, 131, 79, 163, 80, 164)(51, 135, 82, 166, 83, 167)(53, 137, 81, 165, 67, 151)(66, 150, 70, 154, 75, 159)(69, 153, 74, 158, 84, 168)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 98)(6, 100)(7, 103)(8, 105)(9, 107)(10, 87)(11, 113)(12, 88)(13, 118)(14, 120)(15, 89)(16, 126)(17, 129)(18, 130)(19, 132)(20, 91)(21, 137)(22, 92)(23, 127)(24, 133)(25, 142)(26, 106)(27, 94)(28, 146)(29, 122)(30, 95)(31, 135)(32, 96)(33, 110)(34, 131)(35, 97)(36, 128)(37, 134)(38, 101)(39, 136)(40, 99)(41, 140)(42, 143)(43, 158)(44, 150)(45, 159)(46, 144)(47, 102)(48, 157)(49, 160)(50, 165)(51, 104)(52, 109)(53, 148)(54, 161)(55, 121)(56, 164)(57, 108)(58, 162)(59, 166)(60, 111)(61, 123)(62, 163)(63, 112)(64, 114)(65, 167)(66, 115)(67, 116)(68, 124)(69, 117)(70, 119)(71, 125)(72, 151)(73, 147)(74, 149)(75, 145)(76, 168)(77, 152)(78, 153)(79, 138)(80, 156)(81, 154)(82, 141)(83, 139)(84, 155)
	local type(s) :: { ( 14, 21, 14, 21, 14, 21 ) }
Outer automorphisms :: reflexible
Dual of E24.1754
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 28 e = 84 f = 10
	degree seq :: [ 6^28 ]

E24.1759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 21})
Quotient :: dipole
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y3^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2^5 * Y1^-1 * Y2, Y3 * Y2^-5 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 85, 2, 86, 4, 88)(3, 87, 8, 92, 10, 94)(5, 89, 13, 97, 14, 98)(6, 90, 16, 100, 18, 102)(7, 91, 19, 103, 20, 104)(9, 93, 17, 101, 25, 109)(11, 95, 28, 112, 29, 113)(12, 96, 30, 114, 31, 115)(15, 99, 21, 105, 32, 116)(22, 106, 44, 128, 39, 123)(23, 107, 46, 130, 40, 124)(24, 108, 45, 129, 48, 132)(26, 110, 50, 134, 51, 135)(27, 111, 52, 136, 53, 137)(33, 117, 59, 143, 42, 126)(34, 118, 56, 140, 61, 145)(35, 119, 60, 144, 62, 146)(36, 120, 64, 148, 54, 138)(37, 121, 66, 150, 55, 139)(38, 122, 65, 149, 68, 152)(41, 125, 69, 153, 57, 141)(43, 127, 70, 154, 71, 155)(47, 131, 67, 151, 77, 161)(49, 133, 78, 162, 79, 163)(58, 142, 82, 166, 75, 159)(63, 147, 72, 156, 73, 157)(74, 158, 83, 167, 80, 164)(76, 160, 84, 168, 81, 165)(169, 253, 171, 255, 177, 261, 192, 276, 215, 299, 237, 321, 252, 336, 234, 318, 251, 335, 232, 316, 231, 315, 203, 287, 183, 267, 173, 257)(170, 254, 174, 258, 185, 269, 206, 290, 235, 319, 229, 313, 249, 333, 221, 305, 248, 332, 219, 303, 240, 324, 211, 295, 189, 273, 175, 259)(172, 256, 179, 263, 193, 277, 217, 301, 245, 329, 227, 311, 244, 328, 214, 298, 242, 326, 212, 296, 241, 325, 226, 310, 200, 284, 180, 264)(176, 260, 190, 274, 213, 297, 243, 327, 225, 309, 199, 283, 223, 307, 197, 281, 222, 306, 247, 331, 228, 312, 201, 285, 181, 265, 191, 275)(178, 262, 194, 278, 216, 300, 238, 322, 209, 293, 187, 271, 205, 289, 184, 268, 204, 288, 233, 317, 230, 314, 202, 286, 182, 266, 195, 279)(186, 270, 207, 291, 236, 320, 250, 334, 224, 308, 198, 282, 220, 304, 196, 280, 218, 302, 246, 330, 239, 323, 210, 294, 188, 272, 208, 292)
	L = (1, 172)(2, 169)(3, 178)(4, 170)(5, 182)(6, 186)(7, 188)(8, 171)(9, 193)(10, 176)(11, 197)(12, 199)(13, 173)(14, 181)(15, 200)(16, 174)(17, 177)(18, 184)(19, 175)(20, 187)(21, 183)(22, 207)(23, 208)(24, 216)(25, 185)(26, 219)(27, 221)(28, 179)(29, 196)(30, 180)(31, 198)(32, 189)(33, 210)(34, 229)(35, 230)(36, 222)(37, 223)(38, 236)(39, 212)(40, 214)(41, 225)(42, 227)(43, 239)(44, 190)(45, 192)(46, 191)(47, 245)(48, 213)(49, 247)(50, 194)(51, 218)(52, 195)(53, 220)(54, 232)(55, 234)(56, 202)(57, 237)(58, 243)(59, 201)(60, 203)(61, 224)(62, 228)(63, 241)(64, 204)(65, 206)(66, 205)(67, 215)(68, 233)(69, 209)(70, 211)(71, 238)(72, 231)(73, 240)(74, 248)(75, 250)(76, 249)(77, 235)(78, 217)(79, 246)(80, 251)(81, 252)(82, 226)(83, 242)(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, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E24.1762
Graph:: bipartite
	v = 34 e = 168 f = 88
	degree seq :: [ 6^28, 28^6 ]

E24.1760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 21})
Quotient :: dipole
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, Y2^2 * Y1^-2 * Y2 * Y1^-2, (Y1, Y2, Y1^-1), Y2 * Y1^2 * Y2^8 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 18, 102, 30, 114, 51, 135, 78, 162, 84, 168, 83, 167, 71, 155, 45, 129, 37, 121, 13, 97, 4, 88)(3, 87, 9, 93, 19, 103, 47, 131, 64, 148, 56, 140, 80, 164, 79, 163, 70, 154, 44, 128, 17, 101, 43, 127, 33, 117, 11, 95)(5, 89, 15, 99, 20, 104, 31, 115, 10, 94, 29, 113, 48, 132, 77, 161, 82, 166, 69, 153, 75, 159, 53, 137, 38, 122, 16, 100)(7, 91, 21, 105, 46, 130, 41, 125, 72, 156, 66, 150, 81, 165, 63, 147, 39, 123, 58, 142, 26, 110, 36, 120, 12, 96, 23, 107)(8, 92, 24, 108, 35, 119, 52, 136, 22, 106, 50, 134, 76, 160, 61, 145, 68, 152, 32, 116, 60, 144, 27, 111, 14, 98, 25, 109)(28, 112, 49, 133, 67, 151, 73, 157, 59, 143, 42, 126, 57, 141, 40, 124, 55, 139, 65, 149, 74, 158, 62, 146, 34, 118, 54, 138)(169, 253, 171, 255, 178, 262, 198, 282, 232, 316, 250, 334, 251, 335, 238, 322, 206, 290, 181, 265, 201, 285, 188, 272, 174, 258, 187, 271, 216, 300, 246, 330, 248, 332, 243, 327, 213, 297, 185, 269, 173, 257)(170, 254, 175, 259, 190, 274, 219, 303, 240, 324, 236, 320, 239, 323, 207, 291, 182, 266, 172, 256, 180, 264, 203, 287, 186, 270, 214, 298, 244, 328, 252, 336, 249, 333, 228, 312, 205, 289, 194, 278, 176, 260)(177, 261, 195, 279, 227, 311, 224, 308, 192, 276, 223, 307, 212, 296, 218, 302, 202, 286, 179, 263, 200, 284, 235, 319, 215, 299, 193, 277, 225, 309, 247, 331, 220, 304, 242, 326, 211, 295, 229, 313, 196, 280)(183, 267, 208, 292, 231, 315, 197, 281, 230, 314, 204, 288, 237, 321, 217, 301, 189, 273, 184, 268, 210, 294, 234, 318, 199, 283, 233, 317, 226, 310, 245, 329, 222, 306, 191, 275, 221, 305, 241, 325, 209, 293)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 187)(7, 190)(8, 170)(9, 195)(10, 198)(11, 200)(12, 203)(13, 201)(14, 172)(15, 208)(16, 210)(17, 173)(18, 214)(19, 216)(20, 174)(21, 184)(22, 219)(23, 221)(24, 223)(25, 225)(26, 176)(27, 227)(28, 177)(29, 230)(30, 232)(31, 233)(32, 235)(33, 188)(34, 179)(35, 186)(36, 237)(37, 194)(38, 181)(39, 182)(40, 231)(41, 183)(42, 234)(43, 229)(44, 218)(45, 185)(46, 244)(47, 193)(48, 246)(49, 189)(50, 202)(51, 240)(52, 242)(53, 241)(54, 191)(55, 212)(56, 192)(57, 247)(58, 245)(59, 224)(60, 205)(61, 196)(62, 204)(63, 197)(64, 250)(65, 226)(66, 199)(67, 215)(68, 239)(69, 217)(70, 206)(71, 207)(72, 236)(73, 209)(74, 211)(75, 213)(76, 252)(77, 222)(78, 248)(79, 220)(80, 243)(81, 228)(82, 251)(83, 238)(84, 249)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E24.1761
Graph:: bipartite
	v = 10 e = 168 f = 112
	degree seq :: [ 28^6, 42^4 ]

E24.1761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 21})
Quotient :: dipole
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y3^-1, Y2^-1)^2, Y3^4 * Y2 * Y3^2 * Y2 * Y3, (Y3 * Y2^-1)^14, (Y3^-1 * Y1^-1)^21 ]
Map:: polytopal
	R = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)(169, 253, 170, 254, 172, 256)(171, 255, 176, 260, 178, 262)(173, 257, 181, 265, 182, 266)(174, 258, 184, 268, 186, 270)(175, 259, 187, 271, 188, 272)(177, 261, 192, 276, 194, 278)(179, 263, 197, 281, 199, 283)(180, 264, 200, 284, 201, 285)(183, 267, 207, 291, 208, 292)(185, 269, 210, 294, 212, 296)(189, 273, 206, 290, 219, 303)(190, 274, 198, 282, 222, 306)(191, 275, 215, 299, 214, 298)(193, 277, 211, 295, 226, 310)(195, 279, 213, 297, 229, 313)(196, 280, 217, 301, 203, 287)(202, 286, 218, 302, 234, 318)(204, 288, 216, 300, 233, 317)(205, 289, 232, 316, 231, 315)(209, 293, 220, 304, 235, 319)(221, 305, 240, 324, 243, 327)(223, 307, 228, 312, 242, 326)(224, 308, 241, 325, 249, 333)(225, 309, 237, 321, 250, 334)(227, 311, 248, 332, 251, 335)(230, 314, 244, 328, 252, 336)(236, 320, 239, 323, 246, 330)(238, 322, 245, 329, 247, 331)
	L = (1, 171)(2, 174)(3, 177)(4, 179)(5, 169)(6, 185)(7, 170)(8, 190)(9, 193)(10, 195)(11, 198)(12, 172)(13, 203)(14, 205)(15, 173)(16, 194)(17, 211)(18, 213)(19, 215)(20, 217)(21, 175)(22, 221)(23, 176)(24, 223)(25, 225)(26, 227)(27, 228)(28, 178)(29, 212)(30, 226)(31, 229)(32, 232)(33, 191)(34, 180)(35, 224)(36, 181)(37, 184)(38, 182)(39, 201)(40, 230)(41, 183)(42, 240)(43, 239)(44, 242)(45, 243)(46, 186)(47, 241)(48, 187)(49, 197)(50, 188)(51, 244)(52, 189)(53, 237)(54, 248)(55, 235)(56, 192)(57, 234)(58, 247)(59, 246)(60, 250)(61, 251)(62, 196)(63, 199)(64, 249)(65, 200)(66, 252)(67, 202)(68, 204)(69, 206)(70, 207)(71, 208)(72, 209)(73, 210)(74, 238)(75, 236)(76, 214)(77, 216)(78, 218)(79, 219)(80, 220)(81, 222)(82, 233)(83, 245)(84, 231)(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) :: { ( 28, 42 ), ( 28, 42, 28, 42, 28, 42 ) }
Outer automorphisms :: reflexible
Dual of E24.1760
Graph:: simple bipartite
	v = 112 e = 168 f = 10
	degree seq :: [ 2^84, 6^28 ]

E24.1762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 21})
Quotient :: dipole
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-4, (Y1^-1 * Y3^-1)^14 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 16, 100, 42, 126, 59, 143, 82, 166, 57, 141, 24, 108, 49, 133, 76, 160, 84, 168, 71, 155, 41, 125, 56, 140, 80, 164, 72, 156, 67, 151, 32, 116, 12, 96, 4, 88)(3, 87, 9, 93, 23, 107, 43, 127, 74, 158, 65, 149, 83, 167, 55, 139, 37, 121, 50, 134, 81, 165, 70, 154, 35, 119, 13, 97, 34, 118, 47, 131, 18, 102, 46, 130, 60, 144, 27, 111, 10, 94)(5, 89, 14, 98, 36, 120, 44, 128, 66, 150, 31, 115, 51, 135, 20, 104, 7, 91, 19, 103, 48, 132, 73, 157, 63, 147, 28, 112, 62, 146, 79, 163, 54, 138, 77, 161, 68, 152, 40, 124, 15, 99)(8, 92, 21, 105, 53, 137, 64, 148, 30, 114, 11, 95, 29, 113, 38, 122, 17, 101, 45, 129, 75, 159, 61, 145, 39, 123, 52, 136, 25, 109, 58, 142, 78, 162, 69, 153, 33, 117, 26, 110, 22, 106)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 175)(3, 173)(4, 179)(5, 169)(6, 185)(7, 176)(8, 170)(9, 192)(10, 194)(11, 181)(12, 199)(13, 172)(14, 205)(15, 207)(16, 211)(17, 186)(18, 174)(19, 217)(20, 202)(21, 222)(22, 223)(23, 189)(24, 193)(25, 177)(26, 196)(27, 227)(28, 178)(29, 225)(30, 208)(31, 201)(32, 228)(33, 180)(34, 220)(35, 231)(36, 226)(37, 206)(38, 182)(39, 209)(40, 233)(41, 183)(42, 241)(43, 212)(44, 184)(45, 244)(46, 246)(47, 247)(48, 214)(49, 218)(50, 187)(51, 250)(52, 188)(53, 249)(54, 191)(55, 224)(56, 190)(57, 230)(58, 240)(59, 229)(60, 236)(61, 195)(62, 197)(63, 239)(64, 210)(65, 198)(66, 238)(67, 221)(68, 200)(69, 242)(70, 243)(71, 203)(72, 204)(73, 232)(74, 252)(75, 234)(76, 245)(77, 213)(78, 216)(79, 248)(80, 215)(81, 235)(82, 251)(83, 219)(84, 237)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6, 28 ), ( 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1759
Graph:: simple bipartite
	v = 88 e = 168 f = 34
	degree seq :: [ 2^84, 42^4 ]

E24.1763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 21})
Quotient :: dipole
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|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^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2^-2 * Y3 * Y2 * Y3, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^-1 * R * Y2^-2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^5 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y3^-1 * Y2^-3 * Y1 * Y2^-3 * Y1^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * 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 ]
Map::
	R = (1, 85, 2, 86, 4, 88)(3, 87, 8, 92, 10, 94)(5, 89, 13, 97, 14, 98)(6, 90, 16, 100, 18, 102)(7, 91, 19, 103, 20, 104)(9, 93, 24, 108, 26, 110)(11, 95, 29, 113, 31, 115)(12, 96, 32, 116, 33, 117)(15, 99, 39, 123, 40, 124)(17, 101, 27, 111, 45, 129)(21, 105, 50, 134, 51, 135)(22, 106, 42, 126, 54, 138)(23, 107, 37, 121, 47, 131)(25, 109, 44, 128, 58, 142)(28, 112, 62, 146, 63, 147)(30, 114, 46, 130, 64, 148)(34, 118, 66, 150, 36, 120)(35, 119, 43, 127, 48, 132)(38, 122, 49, 133, 65, 149)(41, 125, 52, 136, 67, 151)(53, 137, 59, 143, 78, 162)(55, 139, 74, 158, 82, 166)(56, 140, 73, 157, 76, 160)(57, 141, 79, 163, 68, 152)(60, 144, 77, 161, 83, 167)(61, 145, 81, 165, 72, 156)(69, 153, 80, 164, 70, 154)(71, 155, 75, 159, 84, 168)(169, 253, 171, 255, 177, 261, 193, 277, 225, 309, 218, 302, 242, 326, 211, 295, 184, 268, 210, 294, 241, 325, 252, 336, 233, 317, 201, 285, 231, 315, 251, 335, 232, 316, 240, 324, 209, 293, 183, 267, 173, 257)(170, 254, 174, 258, 185, 269, 212, 296, 243, 327, 234, 318, 250, 334, 230, 314, 197, 281, 222, 306, 249, 333, 237, 321, 206, 290, 182, 266, 205, 289, 228, 312, 194, 278, 227, 311, 220, 304, 189, 273, 175, 259)(172, 256, 179, 263, 198, 282, 226, 310, 238, 322, 207, 291, 223, 307, 191, 275, 176, 260, 190, 274, 221, 305, 247, 331, 217, 301, 188, 272, 216, 300, 245, 329, 213, 297, 244, 328, 235, 319, 202, 286, 180, 264)(178, 262, 195, 279, 229, 313, 236, 320, 204, 288, 181, 265, 203, 287, 199, 283, 192, 276, 224, 308, 248, 332, 219, 303, 200, 284, 215, 299, 186, 270, 214, 298, 246, 330, 239, 323, 208, 292, 187, 271, 196, 280)
	L = (1, 172)(2, 169)(3, 178)(4, 170)(5, 182)(6, 186)(7, 188)(8, 171)(9, 194)(10, 176)(11, 199)(12, 201)(13, 173)(14, 181)(15, 208)(16, 174)(17, 213)(18, 184)(19, 175)(20, 187)(21, 219)(22, 222)(23, 215)(24, 177)(25, 226)(26, 192)(27, 185)(28, 231)(29, 179)(30, 232)(31, 197)(32, 180)(33, 200)(34, 204)(35, 216)(36, 234)(37, 191)(38, 233)(39, 183)(40, 207)(41, 235)(42, 190)(43, 203)(44, 193)(45, 195)(46, 198)(47, 205)(48, 211)(49, 206)(50, 189)(51, 218)(52, 209)(53, 246)(54, 210)(55, 250)(56, 244)(57, 236)(58, 212)(59, 221)(60, 251)(61, 240)(62, 196)(63, 230)(64, 214)(65, 217)(66, 202)(67, 220)(68, 247)(69, 238)(70, 248)(71, 252)(72, 249)(73, 224)(74, 223)(75, 239)(76, 241)(77, 228)(78, 227)(79, 225)(80, 237)(81, 229)(82, 242)(83, 245)(84, 243)(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, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1764
Graph:: bipartite
	v = 32 e = 168 f = 90
	degree seq :: [ 6^28, 42^4 ]

E24.1764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 21})
Quotient :: dipole
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-1 * Y1^2 * Y3^-2 * Y1^2, (Y1, Y3, Y1^-1), Y3 * Y1^2 * Y3^8, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 18, 102, 30, 114, 51, 135, 78, 162, 84, 168, 83, 167, 71, 155, 45, 129, 37, 121, 13, 97, 4, 88)(3, 87, 9, 93, 19, 103, 47, 131, 64, 148, 56, 140, 80, 164, 79, 163, 70, 154, 44, 128, 17, 101, 43, 127, 33, 117, 11, 95)(5, 89, 15, 99, 20, 104, 31, 115, 10, 94, 29, 113, 48, 132, 77, 161, 82, 166, 69, 153, 75, 159, 53, 137, 38, 122, 16, 100)(7, 91, 21, 105, 46, 130, 41, 125, 72, 156, 66, 150, 81, 165, 63, 147, 39, 123, 58, 142, 26, 110, 36, 120, 12, 96, 23, 107)(8, 92, 24, 108, 35, 119, 52, 136, 22, 106, 50, 134, 76, 160, 61, 145, 68, 152, 32, 116, 60, 144, 27, 111, 14, 98, 25, 109)(28, 112, 49, 133, 67, 151, 73, 157, 59, 143, 42, 126, 57, 141, 40, 124, 55, 139, 65, 149, 74, 158, 62, 146, 34, 118, 54, 138)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 187)(7, 190)(8, 170)(9, 195)(10, 198)(11, 200)(12, 203)(13, 201)(14, 172)(15, 208)(16, 210)(17, 173)(18, 214)(19, 216)(20, 174)(21, 184)(22, 219)(23, 221)(24, 223)(25, 225)(26, 176)(27, 227)(28, 177)(29, 230)(30, 232)(31, 233)(32, 235)(33, 188)(34, 179)(35, 186)(36, 237)(37, 194)(38, 181)(39, 182)(40, 231)(41, 183)(42, 234)(43, 229)(44, 218)(45, 185)(46, 244)(47, 193)(48, 246)(49, 189)(50, 202)(51, 240)(52, 242)(53, 241)(54, 191)(55, 212)(56, 192)(57, 247)(58, 245)(59, 224)(60, 205)(61, 196)(62, 204)(63, 197)(64, 250)(65, 226)(66, 199)(67, 215)(68, 239)(69, 217)(70, 206)(71, 207)(72, 236)(73, 209)(74, 211)(75, 213)(76, 252)(77, 222)(78, 248)(79, 220)(80, 243)(81, 228)(82, 251)(83, 238)(84, 249)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6, 42 ), ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E24.1763
Graph:: simple bipartite
	v = 90 e = 168 f = 32
	degree seq :: [ 2^84, 28^6 ]

E24.1765 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 12, 28})
Quotient :: edge
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ X1^3, X2 * X1 * X2 * X1^-1 * X2^2 * X1, X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1, X2^12, X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2^-4 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 27, 44)(21, 47, 48)(22, 36, 34)(23, 37, 51)(25, 43, 54)(28, 57, 58)(30, 38, 60)(35, 63, 64)(41, 49, 62)(42, 46, 68)(45, 67, 72)(50, 55, 74)(52, 70, 76)(53, 59, 61)(56, 66, 78)(65, 75, 80)(69, 79, 81)(71, 73, 77)(82, 83, 84)(85, 87, 93, 109, 137, 161, 168, 165, 151, 125, 99, 89)(86, 90, 101, 127, 135, 159, 166, 158, 147, 133, 105, 91)(88, 95, 114, 138, 152, 162, 167, 160, 141, 146, 118, 96)(92, 106, 134, 143, 113, 131, 153, 126, 100, 123, 136, 107)(94, 111, 117, 145, 164, 144, 163, 148, 150, 124, 103, 112)(97, 119, 115, 108, 104, 130, 155, 128, 154, 156, 149, 120)(98, 121, 140, 110, 139, 142, 157, 132, 116, 129, 102, 122)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 56^3 ), ( 56^12 ) }
Outer automorphisms :: chiral
Dual of E24.1770
Transitivity :: ET+
Graph:: simple bipartite
	v = 35 e = 84 f = 3
	degree seq :: [ 3^28, 12^7 ]

E24.1766 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 12, 28})
Quotient :: edge
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^3, X1^-1 * X2^2 * X1^-1 * X2^-1 * X1^-1, X1 * X2^-1 * X1^-1 * X2^-3, X1^-2 * X2 * X1^3 * X2^-1 * X1^-1, X1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 42, 70, 84, 83, 67, 36, 13, 4)(3, 9, 27, 43, 22, 51, 78, 69, 40, 63, 32, 11)(5, 15, 33, 44, 73, 57, 76, 65, 79, 56, 26, 16)(7, 21, 50, 71, 45, 74, 64, 82, 55, 29, 52, 23)(8, 24, 53, 39, 68, 77, 62, 31, 61, 37, 49, 25)(10, 30, 59, 72, 58, 80, 66, 35, 12, 34, 46, 19)(14, 38, 48, 20, 47, 75, 54, 81, 60, 41, 17, 28)(85, 87, 94, 109, 139, 165, 140, 120, 147, 118, 145, 158, 131, 160, 168, 162, 150, 161, 134, 122, 128, 102, 127, 156, 137, 107, 101, 89)(86, 91, 106, 132, 119, 149, 121, 97, 113, 93, 112, 142, 157, 146, 167, 148, 116, 144, 114, 99, 123, 126, 155, 153, 159, 130, 110, 92)(88, 96, 105, 100, 124, 152, 125, 151, 164, 136, 163, 135, 108, 138, 154, 143, 166, 141, 111, 133, 104, 90, 103, 129, 117, 95, 115, 98)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6^12 ), ( 6^28 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 84 f = 28
	degree seq :: [ 12^7, 28^3 ]

E24.1767 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 12, 28})
Quotient :: edge
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ X2^3, X2^3, X1^3 * X2 * X1 * X2^-1, X1^-1 * X2^-1 * X1^2 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1, X2^-1 * X1^2 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X1^-2 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 16, 36, 64, 53, 72, 58, 32, 43, 66, 77, 82, 84, 83, 76, 78, 60, 34, 45, 68, 48, 70, 51, 25, 12, 4)(3, 9, 23, 35, 63, 73, 44, 42, 20, 7, 19, 40, 46, 74, 81, 67, 59, 37, 17, 11, 28, 54, 61, 79, 62, 33, 27, 10)(5, 14, 31, 13, 30, 57, 29, 56, 50, 24, 49, 75, 55, 65, 80, 69, 41, 71, 47, 26, 52, 39, 18, 38, 22, 8, 21, 15)(85, 87, 89)(86, 91, 92)(88, 95, 97)(90, 101, 102)(93, 108, 109)(94, 110, 100)(96, 103, 113)(98, 116, 117)(99, 118, 119)(104, 125, 120)(105, 127, 128)(106, 129, 130)(107, 131, 132)(111, 133, 137)(112, 139, 135)(114, 142, 143)(115, 144, 145)(121, 149, 148)(122, 150, 151)(123, 152, 138)(124, 153, 154)(126, 140, 156)(134, 160, 147)(136, 161, 146)(141, 162, 158)(155, 166, 157)(159, 167, 163)(164, 168, 165)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 24^3 ), ( 24^28 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 31 e = 84 f = 7
	degree seq :: [ 3^28, 28^3 ]

E24.1768 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 12, 28})
Quotient :: loop
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ X1^3, X2 * X1 * X2 * X1^-1 * X2^2 * X1, X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1, X2^12, X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2^-4 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 4, 88)(3, 87, 8, 92, 10, 94)(5, 89, 13, 97, 14, 98)(6, 90, 16, 100, 18, 102)(7, 91, 19, 103, 20, 104)(9, 93, 24, 108, 26, 110)(11, 95, 29, 113, 31, 115)(12, 96, 32, 116, 33, 117)(15, 99, 39, 123, 40, 124)(17, 101, 27, 111, 44, 128)(21, 105, 47, 131, 48, 132)(22, 106, 36, 120, 34, 118)(23, 107, 37, 121, 51, 135)(25, 109, 43, 127, 54, 138)(28, 112, 57, 141, 58, 142)(30, 114, 38, 122, 60, 144)(35, 119, 63, 147, 64, 148)(41, 125, 49, 133, 62, 146)(42, 126, 46, 130, 68, 152)(45, 129, 67, 151, 72, 156)(50, 134, 55, 139, 74, 158)(52, 136, 70, 154, 76, 160)(53, 137, 59, 143, 61, 145)(56, 140, 66, 150, 78, 162)(65, 149, 75, 159, 80, 164)(69, 153, 79, 163, 81, 165)(71, 155, 73, 157, 77, 161)(82, 166, 83, 167, 84, 168)
	L = (1, 87)(2, 90)(3, 93)(4, 95)(5, 85)(6, 101)(7, 86)(8, 106)(9, 109)(10, 111)(11, 114)(12, 88)(13, 119)(14, 121)(15, 89)(16, 123)(17, 127)(18, 122)(19, 112)(20, 130)(21, 91)(22, 134)(23, 92)(24, 104)(25, 137)(26, 139)(27, 117)(28, 94)(29, 131)(30, 138)(31, 108)(32, 129)(33, 145)(34, 96)(35, 115)(36, 97)(37, 140)(38, 98)(39, 136)(40, 103)(41, 99)(42, 100)(43, 135)(44, 154)(45, 102)(46, 155)(47, 153)(48, 116)(49, 105)(50, 143)(51, 159)(52, 107)(53, 161)(54, 152)(55, 142)(56, 110)(57, 146)(58, 157)(59, 113)(60, 163)(61, 164)(62, 118)(63, 133)(64, 150)(65, 120)(66, 124)(67, 125)(68, 162)(69, 126)(70, 156)(71, 128)(72, 149)(73, 132)(74, 147)(75, 166)(76, 141)(77, 168)(78, 167)(79, 148)(80, 144)(81, 151)(82, 158)(83, 160)(84, 165)
	local type(s) :: { ( 12, 28, 12, 28, 12, 28 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 28 e = 84 f = 10
	degree seq :: [ 6^28 ]

E24.1769 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 12, 28})
Quotient :: loop
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^3, X1^-1 * X2^2 * X1^-1 * X2^-1 * X1^-1, X1 * X2^-1 * X1^-1 * X2^-3, X1^-2 * X2 * X1^3 * X2^-1 * X1^-1, X1^12 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 18, 102, 42, 126, 70, 154, 84, 168, 83, 167, 67, 151, 36, 120, 13, 97, 4, 88)(3, 87, 9, 93, 27, 111, 43, 127, 22, 106, 51, 135, 78, 162, 69, 153, 40, 124, 63, 147, 32, 116, 11, 95)(5, 89, 15, 99, 33, 117, 44, 128, 73, 157, 57, 141, 76, 160, 65, 149, 79, 163, 56, 140, 26, 110, 16, 100)(7, 91, 21, 105, 50, 134, 71, 155, 45, 129, 74, 158, 64, 148, 82, 166, 55, 139, 29, 113, 52, 136, 23, 107)(8, 92, 24, 108, 53, 137, 39, 123, 68, 152, 77, 161, 62, 146, 31, 115, 61, 145, 37, 121, 49, 133, 25, 109)(10, 94, 30, 114, 59, 143, 72, 156, 58, 142, 80, 164, 66, 150, 35, 119, 12, 96, 34, 118, 46, 130, 19, 103)(14, 98, 38, 122, 48, 132, 20, 104, 47, 131, 75, 159, 54, 138, 81, 165, 60, 144, 41, 125, 17, 101, 28, 112)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 106)(8, 86)(9, 112)(10, 109)(11, 115)(12, 105)(13, 113)(14, 88)(15, 123)(16, 124)(17, 89)(18, 127)(19, 129)(20, 90)(21, 100)(22, 132)(23, 101)(24, 138)(25, 139)(26, 92)(27, 133)(28, 142)(29, 93)(30, 99)(31, 98)(32, 144)(33, 95)(34, 145)(35, 149)(36, 147)(37, 97)(38, 128)(39, 126)(40, 152)(41, 151)(42, 155)(43, 156)(44, 102)(45, 117)(46, 110)(47, 160)(48, 119)(49, 104)(50, 122)(51, 108)(52, 163)(53, 107)(54, 154)(55, 165)(56, 120)(57, 111)(58, 157)(59, 166)(60, 114)(61, 158)(62, 167)(63, 118)(64, 116)(65, 121)(66, 161)(67, 164)(68, 125)(69, 159)(70, 143)(71, 153)(72, 137)(73, 146)(74, 131)(75, 130)(76, 168)(77, 134)(78, 150)(79, 135)(80, 136)(81, 140)(82, 141)(83, 148)(84, 162)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 84 f = 31
	degree seq :: [ 24^7 ]

E24.1770 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 12, 28})
Quotient :: loop
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ X2^3, X2^3, X1^3 * X2 * X1 * X2^-1, X1^-1 * X2^-1 * X1^2 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1, X2^-1 * X1^2 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X1^-2 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 16, 100, 36, 120, 64, 148, 53, 137, 72, 156, 58, 142, 32, 116, 43, 127, 66, 150, 77, 161, 82, 166, 84, 168, 83, 167, 76, 160, 78, 162, 60, 144, 34, 118, 45, 129, 68, 152, 48, 132, 70, 154, 51, 135, 25, 109, 12, 96, 4, 88)(3, 87, 9, 93, 23, 107, 35, 119, 63, 147, 73, 157, 44, 128, 42, 126, 20, 104, 7, 91, 19, 103, 40, 124, 46, 130, 74, 158, 81, 165, 67, 151, 59, 143, 37, 121, 17, 101, 11, 95, 28, 112, 54, 138, 61, 145, 79, 163, 62, 146, 33, 117, 27, 111, 10, 94)(5, 89, 14, 98, 31, 115, 13, 97, 30, 114, 57, 141, 29, 113, 56, 140, 50, 134, 24, 108, 49, 133, 75, 159, 55, 139, 65, 149, 80, 164, 69, 153, 41, 125, 71, 155, 47, 131, 26, 110, 52, 136, 39, 123, 18, 102, 38, 122, 22, 106, 8, 92, 21, 105, 15, 99)
	L = (1, 87)(2, 91)(3, 89)(4, 95)(5, 85)(6, 101)(7, 92)(8, 86)(9, 108)(10, 110)(11, 97)(12, 103)(13, 88)(14, 116)(15, 118)(16, 94)(17, 102)(18, 90)(19, 113)(20, 125)(21, 127)(22, 129)(23, 131)(24, 109)(25, 93)(26, 100)(27, 133)(28, 139)(29, 96)(30, 142)(31, 144)(32, 117)(33, 98)(34, 119)(35, 99)(36, 104)(37, 149)(38, 150)(39, 152)(40, 153)(41, 120)(42, 140)(43, 128)(44, 105)(45, 130)(46, 106)(47, 132)(48, 107)(49, 137)(50, 160)(51, 112)(52, 161)(53, 111)(54, 123)(55, 135)(56, 156)(57, 162)(58, 143)(59, 114)(60, 145)(61, 115)(62, 136)(63, 134)(64, 121)(65, 148)(66, 151)(67, 122)(68, 138)(69, 154)(70, 124)(71, 166)(72, 126)(73, 155)(74, 141)(75, 167)(76, 147)(77, 146)(78, 158)(79, 159)(80, 168)(81, 164)(82, 157)(83, 163)(84, 165)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: chiral
Dual of E24.1765
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 84 f = 35
	degree seq :: [ 56^3 ]

E24.1771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 48})
Quotient :: dipole
Aut^+ = D96 (small group id <96, 6>)
Aut   = $<192, 461>$ (small group id <192, 461>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 97, 2, 98)(3, 99, 5, 101)(4, 100, 8, 104)(6, 102, 10, 106)(7, 103, 11, 107)(9, 105, 13, 109)(12, 108, 16, 112)(14, 110, 18, 114)(15, 111, 19, 115)(17, 113, 21, 117)(20, 116, 24, 120)(22, 118, 26, 122)(23, 119, 27, 123)(25, 121, 29, 125)(28, 124, 32, 128)(30, 126, 59, 155)(31, 127, 61, 157)(33, 129, 63, 159)(34, 130, 66, 162)(35, 131, 69, 165)(36, 132, 72, 168)(37, 133, 74, 170)(38, 134, 77, 173)(39, 135, 79, 175)(40, 136, 64, 160)(41, 137, 83, 179)(42, 138, 67, 163)(43, 139, 70, 166)(44, 140, 84, 180)(45, 141, 75, 171)(46, 142, 80, 176)(47, 143, 78, 174)(48, 144, 81, 177)(49, 145, 73, 169)(50, 146, 85, 181)(51, 147, 87, 183)(52, 148, 71, 167)(53, 149, 89, 185)(54, 150, 76, 172)(55, 151, 65, 161)(56, 152, 68, 164)(57, 153, 93, 189)(58, 154, 88, 184)(60, 156, 90, 186)(62, 158, 82, 178)(86, 182, 96, 192)(91, 187, 95, 191)(92, 188, 94, 190)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 199, 295)(198, 294, 201, 297)(200, 296, 203, 299)(202, 298, 205, 301)(204, 300, 207, 303)(206, 302, 209, 305)(208, 304, 211, 307)(210, 306, 213, 309)(212, 308, 215, 311)(214, 310, 217, 313)(216, 312, 219, 315)(218, 314, 221, 317)(220, 316, 223, 319)(222, 318, 249, 345)(224, 320, 253, 349)(225, 321, 227, 323)(226, 322, 229, 325)(228, 324, 231, 327)(230, 326, 233, 329)(232, 328, 235, 331)(234, 330, 237, 333)(236, 332, 239, 335)(238, 334, 241, 337)(240, 336, 243, 339)(242, 338, 245, 341)(244, 340, 247, 343)(246, 342, 248, 344)(250, 346, 254, 350)(251, 347, 285, 381)(252, 348, 288, 384)(255, 351, 261, 357)(256, 352, 262, 358)(257, 353, 263, 359)(258, 354, 266, 362)(259, 355, 267, 363)(260, 356, 268, 364)(264, 360, 271, 367)(265, 361, 272, 368)(269, 365, 275, 371)(270, 366, 276, 372)(273, 369, 279, 375)(274, 370, 280, 376)(277, 373, 281, 377)(278, 374, 282, 378)(283, 379, 286, 382)(284, 380, 287, 383)
	L = (1, 196)(2, 198)(3, 199)(4, 193)(5, 201)(6, 194)(7, 195)(8, 204)(9, 197)(10, 206)(11, 207)(12, 200)(13, 209)(14, 202)(15, 203)(16, 212)(17, 205)(18, 214)(19, 215)(20, 208)(21, 217)(22, 210)(23, 211)(24, 220)(25, 213)(26, 222)(27, 223)(28, 216)(29, 249)(30, 218)(31, 219)(32, 242)(33, 256)(34, 259)(35, 262)(36, 258)(37, 267)(38, 255)(39, 266)(40, 273)(41, 261)(42, 277)(43, 279)(44, 264)(45, 281)(46, 269)(47, 271)(48, 251)(49, 275)(50, 224)(51, 285)(52, 276)(53, 253)(54, 272)(55, 270)(56, 265)(57, 221)(58, 263)(59, 240)(60, 268)(61, 245)(62, 257)(63, 230)(64, 225)(65, 254)(66, 228)(67, 226)(68, 288)(69, 233)(70, 227)(71, 250)(72, 236)(73, 248)(74, 231)(75, 229)(76, 252)(77, 238)(78, 247)(79, 239)(80, 246)(81, 232)(82, 287)(83, 241)(84, 244)(85, 234)(86, 286)(87, 235)(88, 284)(89, 237)(90, 283)(91, 282)(92, 280)(93, 243)(94, 278)(95, 274)(96, 260)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 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 ) }
Outer automorphisms :: reflexible
Dual of E24.1772
Graph:: simple bipartite
	v = 96 e = 192 f = 50
	degree seq :: [ 4^96 ]

E24.1772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 48})
Quotient :: dipole
Aut^+ = D96 (small group id <96, 6>)
Aut   = $<192, 461>$ (small group id <192, 461>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2 * Y3 * Y1^24, Y1^-1 * Y2 * Y1^11 * Y3 * Y1^-12 ]
Map:: non-degenerate
	R = (1, 97, 2, 98, 6, 102, 13, 109, 21, 117, 29, 125, 37, 133, 45, 141, 53, 149, 61, 157, 69, 165, 77, 173, 85, 181, 93, 189, 90, 186, 82, 178, 74, 170, 66, 162, 58, 154, 50, 146, 42, 138, 34, 130, 26, 122, 18, 114, 10, 106, 16, 112, 24, 120, 32, 128, 40, 136, 48, 144, 56, 152, 64, 160, 72, 168, 80, 176, 88, 184, 96, 192, 92, 188, 84, 180, 76, 172, 68, 164, 60, 156, 52, 148, 44, 140, 36, 132, 28, 124, 20, 116, 12, 108, 5, 101)(3, 99, 9, 105, 17, 113, 25, 121, 33, 129, 41, 137, 49, 145, 57, 153, 65, 161, 73, 169, 81, 177, 89, 185, 95, 191, 87, 183, 79, 175, 71, 167, 63, 159, 55, 151, 47, 143, 39, 135, 31, 127, 23, 119, 15, 111, 8, 104, 4, 100, 11, 107, 19, 115, 27, 123, 35, 131, 43, 139, 51, 147, 59, 155, 67, 163, 75, 171, 83, 179, 91, 187, 94, 190, 86, 182, 78, 174, 70, 166, 62, 158, 54, 150, 46, 142, 38, 134, 30, 126, 22, 118, 14, 110, 7, 103)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 201, 297)(198, 294, 206, 302)(200, 296, 208, 304)(203, 299, 210, 306)(204, 300, 209, 305)(205, 301, 214, 310)(207, 303, 216, 312)(211, 307, 218, 314)(212, 308, 217, 313)(213, 309, 222, 318)(215, 311, 224, 320)(219, 315, 226, 322)(220, 316, 225, 321)(221, 317, 230, 326)(223, 319, 232, 328)(227, 323, 234, 330)(228, 324, 233, 329)(229, 325, 238, 334)(231, 327, 240, 336)(235, 331, 242, 338)(236, 332, 241, 337)(237, 333, 246, 342)(239, 335, 248, 344)(243, 339, 250, 346)(244, 340, 249, 345)(245, 341, 254, 350)(247, 343, 256, 352)(251, 347, 258, 354)(252, 348, 257, 353)(253, 349, 262, 358)(255, 351, 264, 360)(259, 355, 266, 362)(260, 356, 265, 361)(261, 357, 270, 366)(263, 359, 272, 368)(267, 363, 274, 370)(268, 364, 273, 369)(269, 365, 278, 374)(271, 367, 280, 376)(275, 371, 282, 378)(276, 372, 281, 377)(277, 373, 286, 382)(279, 375, 288, 384)(283, 379, 285, 381)(284, 380, 287, 383)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 203)(6, 207)(7, 208)(8, 194)(9, 210)(10, 195)(11, 197)(12, 211)(13, 215)(14, 216)(15, 198)(16, 199)(17, 218)(18, 201)(19, 204)(20, 219)(21, 223)(22, 224)(23, 205)(24, 206)(25, 226)(26, 209)(27, 212)(28, 227)(29, 231)(30, 232)(31, 213)(32, 214)(33, 234)(34, 217)(35, 220)(36, 235)(37, 239)(38, 240)(39, 221)(40, 222)(41, 242)(42, 225)(43, 228)(44, 243)(45, 247)(46, 248)(47, 229)(48, 230)(49, 250)(50, 233)(51, 236)(52, 251)(53, 255)(54, 256)(55, 237)(56, 238)(57, 258)(58, 241)(59, 244)(60, 259)(61, 263)(62, 264)(63, 245)(64, 246)(65, 266)(66, 249)(67, 252)(68, 267)(69, 271)(70, 272)(71, 253)(72, 254)(73, 274)(74, 257)(75, 260)(76, 275)(77, 279)(78, 280)(79, 261)(80, 262)(81, 282)(82, 265)(83, 268)(84, 283)(85, 287)(86, 288)(87, 269)(88, 270)(89, 285)(90, 273)(91, 276)(92, 286)(93, 281)(94, 284)(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) :: { ( 4^4 ), ( 4^96 ) }
Outer automorphisms :: reflexible
Dual of E24.1771
Graph:: bipartite
	v = 50 e = 192 f = 96
	degree seq :: [ 4^48, 96^2 ]

E24.1773 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 48})
Quotient :: edge
Aut^+ = C3 : Q32 (small group id <96, 8>)
Aut   = $<192, 463>$ (small group id <192, 463>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2^2 * T1^-2 * T2^-2 * T1^-2, T2^22 * T1^-1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 90, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(97, 98, 102, 100)(99, 104, 109, 106)(101, 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, 173, 170)(164, 167, 174, 171)(169, 176, 181, 178)(172, 175, 182, 179)(177, 184, 189, 186)(180, 183, 190, 187)(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) :: { ( 8^4 ), ( 8^48 ) }
Outer automorphisms :: reflexible
Dual of E24.1774
Transitivity :: ET+
Graph:: bipartite
	v = 26 e = 96 f = 24
	degree seq :: [ 4^24, 48^2 ]

E24.1774 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 48})
Quotient :: loop
Aut^+ = C3 : Q32 (small group id <96, 8>)
Aut   = $<192, 463>$ (small group id <192, 463>)
|r| :: 2
Presentation :: [ F^2, T1^4, T2^4, (F * T2)^2, (F * T1)^2, T2 * T1^2 * T2, T2 * 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * 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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 97, 3, 99, 6, 102, 5, 101)(2, 98, 7, 103, 4, 100, 8, 104)(9, 105, 13, 109, 10, 106, 14, 110)(11, 107, 15, 111, 12, 108, 16, 112)(17, 113, 21, 117, 18, 114, 22, 118)(19, 115, 23, 119, 20, 116, 24, 120)(25, 121, 29, 125, 26, 122, 30, 126)(27, 123, 31, 127, 28, 124, 32, 128)(33, 129, 35, 131, 34, 130, 38, 134)(36, 132, 52, 148, 37, 133, 51, 147)(39, 135, 56, 152, 40, 136, 55, 151)(41, 137, 58, 154, 42, 138, 57, 153)(43, 139, 60, 156, 44, 140, 59, 155)(45, 141, 62, 158, 46, 142, 61, 157)(47, 143, 64, 160, 48, 144, 63, 159)(49, 145, 66, 162, 50, 146, 65, 161)(53, 149, 68, 164, 54, 150, 67, 163)(69, 165, 71, 167, 70, 166, 72, 168)(73, 169, 75, 171, 74, 170, 76, 172)(77, 173, 92, 188, 78, 174, 91, 187)(79, 175, 96, 192, 80, 176, 95, 191)(81, 177, 94, 190, 82, 178, 93, 189)(83, 179, 89, 185, 84, 180, 90, 186)(85, 181, 88, 184, 86, 182, 87, 183)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 106)(6, 100)(7, 107)(8, 108)(9, 101)(10, 99)(11, 104)(12, 103)(13, 113)(14, 114)(15, 115)(16, 116)(17, 110)(18, 109)(19, 112)(20, 111)(21, 121)(22, 122)(23, 123)(24, 124)(25, 118)(26, 117)(27, 120)(28, 119)(29, 129)(30, 130)(31, 147)(32, 148)(33, 126)(34, 125)(35, 151)(36, 153)(37, 154)(38, 152)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 128)(52, 127)(53, 169)(54, 170)(55, 134)(56, 131)(57, 133)(58, 132)(59, 136)(60, 135)(61, 138)(62, 137)(63, 140)(64, 139)(65, 142)(66, 141)(67, 144)(68, 143)(69, 146)(70, 145)(71, 187)(72, 188)(73, 150)(74, 149)(75, 191)(76, 192)(77, 189)(78, 190)(79, 186)(80, 185)(81, 183)(82, 184)(83, 182)(84, 181)(85, 179)(86, 180)(87, 178)(88, 177)(89, 175)(90, 176)(91, 168)(92, 167)(93, 174)(94, 173)(95, 172)(96, 171)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E24.1773
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 26
	degree seq :: [ 8^24 ]

E24.1775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 48})
Quotient :: dipole
Aut^+ = C3 : Q32 (small group id <96, 8>)
Aut   = $<192, 463>$ (small group id <192, 463>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, Y1^4, R * Y2 * R * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^11 * Y1^-1 * Y2^-13 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 8, 104, 13, 109, 10, 106)(5, 101, 7, 103, 14, 110, 11, 107)(9, 105, 16, 112, 21, 117, 18, 114)(12, 108, 15, 111, 22, 118, 19, 115)(17, 113, 24, 120, 29, 125, 26, 122)(20, 116, 23, 119, 30, 126, 27, 123)(25, 121, 32, 128, 37, 133, 34, 130)(28, 124, 31, 127, 38, 134, 35, 131)(33, 129, 40, 136, 45, 141, 42, 138)(36, 132, 39, 135, 46, 142, 43, 139)(41, 137, 48, 144, 53, 149, 50, 146)(44, 140, 47, 143, 54, 150, 51, 147)(49, 145, 56, 152, 61, 157, 58, 154)(52, 148, 55, 151, 62, 158, 59, 155)(57, 153, 64, 160, 69, 165, 66, 162)(60, 156, 63, 159, 70, 166, 67, 163)(65, 161, 72, 168, 77, 173, 74, 170)(68, 164, 71, 167, 78, 174, 75, 171)(73, 169, 80, 176, 85, 181, 82, 178)(76, 172, 79, 175, 86, 182, 83, 179)(81, 177, 88, 184, 93, 189, 90, 186)(84, 180, 87, 183, 94, 190, 91, 187)(89, 185, 96, 192, 92, 188, 95, 191)(193, 289, 195, 291, 201, 297, 209, 305, 217, 313, 225, 321, 233, 329, 241, 337, 249, 345, 257, 353, 265, 361, 273, 369, 281, 377, 286, 382, 278, 374, 270, 366, 262, 358, 254, 350, 246, 342, 238, 334, 230, 326, 222, 318, 214, 310, 206, 302, 198, 294, 205, 301, 213, 309, 221, 317, 229, 325, 237, 333, 245, 341, 253, 349, 261, 357, 269, 365, 277, 373, 285, 381, 284, 380, 276, 372, 268, 364, 260, 356, 252, 348, 244, 340, 236, 332, 228, 324, 220, 316, 212, 308, 204, 300, 197, 293)(194, 290, 199, 295, 207, 303, 215, 311, 223, 319, 231, 327, 239, 335, 247, 343, 255, 351, 263, 359, 271, 367, 279, 375, 287, 383, 282, 378, 274, 370, 266, 362, 258, 354, 250, 346, 242, 338, 234, 330, 226, 322, 218, 314, 210, 306, 202, 298, 196, 292, 203, 299, 211, 307, 219, 315, 227, 323, 235, 331, 243, 339, 251, 347, 259, 355, 267, 363, 275, 371, 283, 379, 288, 384, 280, 376, 272, 368, 264, 360, 256, 352, 248, 344, 240, 336, 232, 328, 224, 320, 216, 312, 208, 304, 200, 296)
	L = (1, 195)(2, 199)(3, 201)(4, 203)(5, 193)(6, 205)(7, 207)(8, 194)(9, 209)(10, 196)(11, 211)(12, 197)(13, 213)(14, 198)(15, 215)(16, 200)(17, 217)(18, 202)(19, 219)(20, 204)(21, 221)(22, 206)(23, 223)(24, 208)(25, 225)(26, 210)(27, 227)(28, 212)(29, 229)(30, 214)(31, 231)(32, 216)(33, 233)(34, 218)(35, 235)(36, 220)(37, 237)(38, 222)(39, 239)(40, 224)(41, 241)(42, 226)(43, 243)(44, 228)(45, 245)(46, 230)(47, 247)(48, 232)(49, 249)(50, 234)(51, 251)(52, 236)(53, 253)(54, 238)(55, 255)(56, 240)(57, 257)(58, 242)(59, 259)(60, 244)(61, 261)(62, 246)(63, 263)(64, 248)(65, 265)(66, 250)(67, 267)(68, 252)(69, 269)(70, 254)(71, 271)(72, 256)(73, 273)(74, 258)(75, 275)(76, 260)(77, 277)(78, 262)(79, 279)(80, 264)(81, 281)(82, 266)(83, 283)(84, 268)(85, 285)(86, 270)(87, 287)(88, 272)(89, 286)(90, 274)(91, 288)(92, 276)(93, 284)(94, 278)(95, 282)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E24.1776
Graph:: bipartite
	v = 26 e = 192 f = 120
	degree seq :: [ 8^24, 96^2 ]

E24.1776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 48})
Quotient :: dipole
Aut^+ = C3 : Q32 (small group id <96, 8>)
Aut   = $<192, 463>$ (small group id <192, 463>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-2 * Y3^-2 * Y2^-2, Y3^22 * Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^48 ]
Map::
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 200, 296, 205, 301, 202, 298)(197, 293, 199, 295, 206, 302, 203, 299)(201, 297, 208, 304, 213, 309, 210, 306)(204, 300, 207, 303, 214, 310, 211, 307)(209, 305, 216, 312, 221, 317, 218, 314)(212, 308, 215, 311, 222, 318, 219, 315)(217, 313, 224, 320, 229, 325, 226, 322)(220, 316, 223, 319, 230, 326, 227, 323)(225, 321, 232, 328, 237, 333, 234, 330)(228, 324, 231, 327, 238, 334, 235, 331)(233, 329, 240, 336, 245, 341, 242, 338)(236, 332, 239, 335, 246, 342, 243, 339)(241, 337, 248, 344, 253, 349, 250, 346)(244, 340, 247, 343, 254, 350, 251, 347)(249, 345, 256, 352, 261, 357, 258, 354)(252, 348, 255, 351, 262, 358, 259, 355)(257, 353, 264, 360, 269, 365, 266, 362)(260, 356, 263, 359, 270, 366, 267, 363)(265, 361, 272, 368, 277, 373, 274, 370)(268, 364, 271, 367, 278, 374, 275, 371)(273, 369, 280, 376, 285, 381, 282, 378)(276, 372, 279, 375, 286, 382, 283, 379)(281, 377, 288, 384, 284, 380, 287, 383)
	L = (1, 195)(2, 199)(3, 201)(4, 203)(5, 193)(6, 205)(7, 207)(8, 194)(9, 209)(10, 196)(11, 211)(12, 197)(13, 213)(14, 198)(15, 215)(16, 200)(17, 217)(18, 202)(19, 219)(20, 204)(21, 221)(22, 206)(23, 223)(24, 208)(25, 225)(26, 210)(27, 227)(28, 212)(29, 229)(30, 214)(31, 231)(32, 216)(33, 233)(34, 218)(35, 235)(36, 220)(37, 237)(38, 222)(39, 239)(40, 224)(41, 241)(42, 226)(43, 243)(44, 228)(45, 245)(46, 230)(47, 247)(48, 232)(49, 249)(50, 234)(51, 251)(52, 236)(53, 253)(54, 238)(55, 255)(56, 240)(57, 257)(58, 242)(59, 259)(60, 244)(61, 261)(62, 246)(63, 263)(64, 248)(65, 265)(66, 250)(67, 267)(68, 252)(69, 269)(70, 254)(71, 271)(72, 256)(73, 273)(74, 258)(75, 275)(76, 260)(77, 277)(78, 262)(79, 279)(80, 264)(81, 281)(82, 266)(83, 283)(84, 268)(85, 285)(86, 270)(87, 287)(88, 272)(89, 286)(90, 274)(91, 288)(92, 276)(93, 284)(94, 278)(95, 282)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 96 ), ( 8, 96, 8, 96, 8, 96, 8, 96 ) }
Outer automorphisms :: reflexible
Dual of E24.1775
Graph:: simple bipartite
	v = 120 e = 192 f = 26
	degree seq :: [ 2^96, 8^24 ]

E24.1777 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 96, 96})
Quotient :: regular
Aut^+ = C96 (small group id <96, 2>)
Aut   = $<192, 7>$ (small group id <192, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^48 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 39, 35, 38, 42, 44, 46, 48, 50, 52, 61, 57, 54, 55, 58, 62, 64, 66, 68, 70, 72, 81, 77, 80, 84, 86, 88, 90, 92, 94, 96, 74, 53, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 40, 36, 33, 34, 37, 41, 43, 45, 47, 49, 51, 60, 56, 59, 63, 65, 67, 69, 71, 73, 82, 78, 75, 76, 79, 83, 85, 87, 89, 91, 93, 95, 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, 40)(32, 53)(33, 35)(34, 38)(36, 39)(37, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 61)(54, 56)(55, 59)(57, 60)(58, 63)(62, 65)(64, 67)(66, 69)(68, 71)(70, 73)(72, 82)(74, 95)(75, 77)(76, 80)(78, 81)(79, 84)(83, 86)(85, 88)(87, 90)(89, 92)(91, 94)(93, 96)
	local type(s) :: { ( 96^96 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 48 f = 1
	degree seq :: [ 96 ]

E24.1778 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 96, 96})
Quotient :: edge
Aut^+ = C96 (small group id <96, 2>)
Aut   = $<192, 7>$ (small group id <192, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^48 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 50, 51, 53, 55, 57, 59, 61, 63, 65, 70, 72, 74, 76, 78, 80, 82, 85, 87, 88, 90, 92, 94, 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, 71, 73, 75, 77, 79, 81, 67, 86, 89, 91, 93, 95, 96, 83, 32, 28, 24, 20, 16, 12, 8, 4)(97, 98)(99, 101)(100, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 121)(120, 122)(123, 125)(124, 126)(127, 129)(128, 145)(130, 131)(132, 133)(134, 135)(136, 137)(138, 139)(140, 141)(142, 143)(144, 146)(147, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 158)(159, 160)(161, 164)(162, 179)(163, 181)(165, 166)(167, 168)(169, 170)(171, 172)(173, 174)(175, 176)(177, 178)(180, 192)(182, 183)(184, 185)(186, 187)(188, 189)(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) :: { ( 192, 192 ), ( 192^96 ) }
Outer automorphisms :: reflexible
Dual of E24.1779
Transitivity :: ET+
Graph:: bipartite
	v = 49 e = 96 f = 1
	degree seq :: [ 2^48, 96 ]

E24.1779 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 96, 96})
Quotient :: loop
Aut^+ = C96 (small group id <96, 2>)
Aut   = $<192, 7>$ (small group id <192, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^48 * T1 ]
Map::
	R = (1, 97, 3, 99, 7, 103, 11, 107, 15, 111, 19, 115, 23, 119, 27, 123, 31, 127, 40, 136, 36, 132, 33, 129, 35, 131, 39, 135, 43, 139, 46, 142, 48, 144, 50, 146, 52, 148, 54, 150, 63, 159, 59, 155, 56, 152, 58, 154, 62, 158, 66, 162, 69, 165, 71, 167, 73, 169, 75, 171, 77, 173, 86, 182, 82, 178, 79, 175, 81, 177, 85, 181, 89, 185, 92, 188, 94, 190, 78, 174, 55, 151, 30, 126, 26, 122, 22, 118, 18, 114, 14, 110, 10, 106, 6, 102, 2, 98, 5, 101, 9, 105, 13, 109, 17, 113, 21, 117, 25, 121, 29, 125, 45, 141, 42, 138, 38, 134, 34, 130, 37, 133, 41, 137, 44, 140, 47, 143, 49, 145, 51, 147, 53, 149, 68, 164, 65, 161, 61, 157, 57, 153, 60, 156, 64, 160, 67, 163, 70, 166, 72, 168, 74, 170, 76, 172, 91, 187, 88, 184, 84, 180, 80, 176, 83, 179, 87, 183, 90, 186, 93, 189, 95, 191, 96, 192, 32, 128, 28, 124, 24, 120, 20, 116, 16, 112, 12, 108, 8, 104, 4, 100)
	L = (1, 98)(2, 97)(3, 101)(4, 102)(5, 99)(6, 100)(7, 105)(8, 106)(9, 103)(10, 104)(11, 109)(12, 110)(13, 107)(14, 108)(15, 113)(16, 114)(17, 111)(18, 112)(19, 117)(20, 118)(21, 115)(22, 116)(23, 121)(24, 122)(25, 119)(26, 120)(27, 125)(28, 126)(29, 123)(30, 124)(31, 141)(32, 151)(33, 130)(34, 129)(35, 133)(36, 134)(37, 131)(38, 132)(39, 137)(40, 138)(41, 135)(42, 136)(43, 140)(44, 139)(45, 127)(46, 143)(47, 142)(48, 145)(49, 144)(50, 147)(51, 146)(52, 149)(53, 148)(54, 164)(55, 128)(56, 153)(57, 152)(58, 156)(59, 157)(60, 154)(61, 155)(62, 160)(63, 161)(64, 158)(65, 159)(66, 163)(67, 162)(68, 150)(69, 166)(70, 165)(71, 168)(72, 167)(73, 170)(74, 169)(75, 172)(76, 171)(77, 187)(78, 192)(79, 176)(80, 175)(81, 179)(82, 180)(83, 177)(84, 178)(85, 183)(86, 184)(87, 181)(88, 182)(89, 186)(90, 185)(91, 173)(92, 189)(93, 188)(94, 191)(95, 190)(96, 174)
	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, 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 E24.1778
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 96 f = 49
	degree seq :: [ 192 ]

E24.1780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 96, 96})
Quotient :: dipole
Aut^+ = C96 (small group id <96, 2>)
Aut   = $<192, 7>$ (small group id <192, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^48 * Y1, (Y3 * Y2^-1)^96 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 5, 101)(4, 100, 6, 102)(7, 103, 9, 105)(8, 104, 10, 106)(11, 107, 13, 109)(12, 108, 14, 110)(15, 111, 17, 113)(16, 112, 18, 114)(19, 115, 21, 117)(20, 116, 22, 118)(23, 119, 25, 121)(24, 120, 26, 122)(27, 123, 29, 125)(28, 124, 30, 126)(31, 127, 33, 129)(32, 128, 49, 145)(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, 50, 146)(51, 147, 52, 148)(53, 149, 54, 150)(55, 151, 56, 152)(57, 153, 58, 154)(59, 155, 60, 156)(61, 157, 62, 158)(63, 159, 64, 160)(65, 161, 68, 164)(66, 162, 83, 179)(67, 163, 85, 181)(69, 165, 70, 166)(71, 167, 72, 168)(73, 169, 74, 170)(75, 171, 76, 172)(77, 173, 78, 174)(79, 175, 80, 176)(81, 177, 82, 178)(84, 180, 96, 192)(86, 182, 87, 183)(88, 184, 89, 185)(90, 186, 91, 187)(92, 188, 93, 189)(94, 190, 95, 191)(193, 289, 195, 291, 199, 295, 203, 299, 207, 303, 211, 307, 215, 311, 219, 315, 223, 319, 227, 323, 229, 325, 231, 327, 233, 329, 235, 331, 237, 333, 239, 335, 242, 338, 243, 339, 245, 341, 247, 343, 249, 345, 251, 347, 253, 349, 255, 351, 257, 353, 262, 358, 264, 360, 266, 362, 268, 364, 270, 366, 272, 368, 274, 370, 277, 373, 279, 375, 280, 376, 282, 378, 284, 380, 286, 382, 276, 372, 258, 354, 241, 337, 222, 318, 218, 314, 214, 310, 210, 306, 206, 302, 202, 298, 198, 294, 194, 290, 197, 293, 201, 297, 205, 301, 209, 305, 213, 309, 217, 313, 221, 317, 225, 321, 226, 322, 228, 324, 230, 326, 232, 328, 234, 330, 236, 332, 238, 334, 240, 336, 244, 340, 246, 342, 248, 344, 250, 346, 252, 348, 254, 350, 256, 352, 260, 356, 261, 357, 263, 359, 265, 361, 267, 363, 269, 365, 271, 367, 273, 369, 259, 355, 278, 374, 281, 377, 283, 379, 285, 381, 287, 383, 288, 384, 275, 371, 224, 320, 220, 316, 216, 312, 212, 308, 208, 304, 204, 300, 200, 296, 196, 292)
	L = (1, 194)(2, 193)(3, 197)(4, 198)(5, 195)(6, 196)(7, 201)(8, 202)(9, 199)(10, 200)(11, 205)(12, 206)(13, 203)(14, 204)(15, 209)(16, 210)(17, 207)(18, 208)(19, 213)(20, 214)(21, 211)(22, 212)(23, 217)(24, 218)(25, 215)(26, 216)(27, 221)(28, 222)(29, 219)(30, 220)(31, 225)(32, 241)(33, 223)(34, 227)(35, 226)(36, 229)(37, 228)(38, 231)(39, 230)(40, 233)(41, 232)(42, 235)(43, 234)(44, 237)(45, 236)(46, 239)(47, 238)(48, 242)(49, 224)(50, 240)(51, 244)(52, 243)(53, 246)(54, 245)(55, 248)(56, 247)(57, 250)(58, 249)(59, 252)(60, 251)(61, 254)(62, 253)(63, 256)(64, 255)(65, 260)(66, 275)(67, 277)(68, 257)(69, 262)(70, 261)(71, 264)(72, 263)(73, 266)(74, 265)(75, 268)(76, 267)(77, 270)(78, 269)(79, 272)(80, 271)(81, 274)(82, 273)(83, 258)(84, 288)(85, 259)(86, 279)(87, 278)(88, 281)(89, 280)(90, 283)(91, 282)(92, 285)(93, 284)(94, 287)(95, 286)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 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, 192, 2, 192 ), ( 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192, 2, 192 ) }
Outer automorphisms :: reflexible
Dual of E24.1781
Graph:: bipartite
	v = 49 e = 192 f = 97
	degree seq :: [ 4^48, 192 ]

E24.1781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 96, 96})
Quotient :: dipole
Aut^+ = C96 (small group id <96, 2>)
Aut   = $<192, 7>$ (small group id <192, 7>)
|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 * Y1^48 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 9, 105, 13, 109, 17, 113, 21, 117, 25, 121, 29, 125, 35, 131, 38, 134, 40, 136, 42, 138, 44, 140, 46, 142, 48, 144, 50, 146, 55, 151, 52, 148, 53, 149, 56, 152, 58, 154, 60, 156, 62, 158, 64, 160, 66, 162, 68, 164, 74, 170, 77, 173, 79, 175, 80, 176, 82, 178, 84, 180, 86, 182, 88, 184, 94, 190, 91, 187, 92, 188, 90, 186, 70, 166, 51, 147, 31, 127, 27, 123, 23, 119, 19, 115, 15, 111, 11, 107, 7, 103, 3, 99, 6, 102, 10, 106, 14, 110, 18, 114, 22, 118, 26, 122, 30, 126, 36, 132, 33, 129, 34, 130, 37, 133, 39, 135, 41, 137, 43, 139, 45, 141, 47, 143, 49, 145, 54, 150, 57, 153, 59, 155, 61, 157, 63, 159, 65, 161, 67, 163, 69, 165, 75, 171, 72, 168, 73, 169, 76, 172, 78, 174, 71, 167, 81, 177, 83, 179, 85, 181, 87, 183, 93, 189, 95, 191, 96, 192, 89, 185, 32, 128, 28, 124, 24, 120, 20, 116, 16, 112, 12, 108, 8, 104, 4, 100)(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, 199)(5, 202)(6, 194)(7, 196)(8, 203)(9, 206)(10, 197)(11, 200)(12, 207)(13, 210)(14, 201)(15, 204)(16, 211)(17, 214)(18, 205)(19, 208)(20, 215)(21, 218)(22, 209)(23, 212)(24, 219)(25, 222)(26, 213)(27, 216)(28, 223)(29, 228)(30, 217)(31, 220)(32, 243)(33, 227)(34, 230)(35, 225)(36, 221)(37, 232)(38, 226)(39, 234)(40, 229)(41, 236)(42, 231)(43, 238)(44, 233)(45, 240)(46, 235)(47, 242)(48, 237)(49, 247)(50, 239)(51, 224)(52, 246)(53, 249)(54, 244)(55, 241)(56, 251)(57, 245)(58, 253)(59, 248)(60, 255)(61, 250)(62, 257)(63, 252)(64, 259)(65, 254)(66, 261)(67, 256)(68, 267)(69, 258)(70, 281)(71, 274)(72, 266)(73, 269)(74, 264)(75, 260)(76, 271)(77, 265)(78, 272)(79, 268)(80, 270)(81, 276)(82, 263)(83, 278)(84, 273)(85, 280)(86, 275)(87, 286)(88, 277)(89, 262)(90, 288)(91, 285)(92, 287)(93, 283)(94, 279)(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, 192 ), ( 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192, 4, 192 ) }
Outer automorphisms :: reflexible
Dual of E24.1780
Graph:: bipartite
	v = 97 e = 192 f = 49
	degree seq :: [ 2^96, 192 ]

E24.1782 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 49, 98})
Quotient :: regular
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-49 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 36, 38, 40, 42, 44, 46, 48, 50, 51, 52, 54, 56, 58, 60, 62, 64, 71, 73, 75, 77, 79, 81, 83, 88, 87, 89, 90, 91, 93, 95, 85, 66, 49, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 33, 34, 35, 37, 39, 41, 43, 45, 47, 53, 55, 57, 59, 61, 63, 65, 68, 69, 70, 72, 74, 76, 78, 80, 82, 67, 86, 92, 94, 96, 97, 98, 84, 32, 28, 24, 20, 16, 12, 8, 4)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 33)(32, 49)(34, 36)(35, 38)(37, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(51, 53)(52, 55)(54, 57)(56, 59)(58, 61)(60, 63)(62, 65)(64, 68)(66, 84)(67, 87)(69, 71)(70, 73)(72, 75)(74, 77)(76, 79)(78, 81)(80, 83)(82, 88)(85, 98)(86, 89)(90, 92)(91, 94)(93, 96)(95, 97)
	local type(s) :: { ( 49^98 ) }
Outer automorphisms :: reflexible
Dual of E24.1783
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 49 f = 2
	degree seq :: [ 98 ]

E24.1783 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 49, 98})
Quotient :: regular
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^49 ]
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, 96, 94, 92, 90, 87, 88, 32, 28, 24, 20, 16, 12, 8, 4)(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, 98, 97, 95, 93, 91, 89, 86, 59, 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, 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, 98)(86, 88)(87, 89)(90, 91)(92, 93)(94, 95)(96, 97)
	local type(s) :: { ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E24.1782
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 49 f = 1
	degree seq :: [ 49^2 ]

E24.1784 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 49, 98})
Quotient :: edge
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^49 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 33, 35, 38, 40, 42, 44, 46, 48, 50, 52, 54, 57, 59, 61, 63, 65, 67, 69, 72, 74, 77, 79, 81, 83, 84, 86, 88, 91, 93, 96, 98, 89, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 37, 34, 36, 39, 41, 43, 45, 47, 49, 56, 53, 55, 58, 60, 62, 64, 66, 68, 76, 73, 75, 78, 80, 82, 71, 85, 87, 95, 92, 94, 97, 90, 70, 51, 30, 26, 22, 18, 14, 10, 6)(99, 100)(101, 103)(102, 104)(105, 107)(106, 108)(109, 111)(110, 112)(113, 115)(114, 116)(117, 119)(118, 120)(121, 123)(122, 124)(125, 127)(126, 128)(129, 135)(130, 149)(131, 132)(133, 134)(136, 137)(138, 139)(140, 141)(142, 143)(144, 145)(146, 147)(148, 154)(150, 151)(152, 153)(155, 156)(157, 158)(159, 160)(161, 162)(163, 164)(165, 166)(167, 174)(168, 187)(169, 181)(170, 171)(172, 173)(175, 176)(177, 178)(179, 180)(182, 183)(184, 185)(186, 193)(188, 196)(189, 190)(191, 192)(194, 195)
	L = (1, 99)(2, 100)(3, 101)(4, 102)(5, 103)(6, 104)(7, 105)(8, 106)(9, 107)(10, 108)(11, 109)(12, 110)(13, 111)(14, 112)(15, 113)(16, 114)(17, 115)(18, 116)(19, 117)(20, 118)(21, 119)(22, 120)(23, 121)(24, 122)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 128)(31, 129)(32, 130)(33, 131)(34, 132)(35, 133)(36, 134)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 140)(43, 141)(44, 142)(45, 143)(46, 144)(47, 145)(48, 146)(49, 147)(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) :: { ( 196, 196 ), ( 196^49 ) }
Outer automorphisms :: reflexible
Dual of E24.1788
Transitivity :: ET+
Graph:: simple bipartite
	v = 51 e = 98 f = 1
	degree seq :: [ 2^49, 49^2 ]

E24.1785 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 49, 98})
Quotient :: edge
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^22 * T2^-1 * T1 * T2^-23, T2^-2 * T1^47, T2^21 * T1^20 * T2^-1 * T1^23 * T2^-1 * T1^23 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 55, 77, 98, 95, 94, 91, 90, 87, 86, 81, 79, 83, 76, 73, 72, 69, 68, 65, 64, 58, 63, 60, 54, 51, 50, 47, 46, 43, 42, 36, 41, 38, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 56, 78, 97, 96, 93, 92, 89, 88, 85, 84, 80, 82, 75, 74, 71, 70, 67, 66, 62, 61, 57, 59, 53, 52, 49, 48, 45, 44, 40, 39, 35, 37, 31, 28, 23, 20, 15, 12, 6, 5)(99, 100, 104, 109, 113, 117, 121, 125, 129, 136, 133, 134, 138, 141, 143, 145, 147, 149, 151, 158, 155, 156, 160, 163, 165, 167, 169, 171, 173, 181, 178, 179, 183, 185, 187, 189, 191, 193, 195, 175, 154, 131, 128, 123, 120, 115, 112, 107, 102)(101, 105, 103, 106, 110, 114, 118, 122, 126, 130, 135, 139, 137, 140, 142, 144, 146, 148, 150, 152, 157, 161, 159, 162, 164, 166, 168, 170, 172, 174, 180, 177, 182, 184, 186, 188, 190, 192, 194, 196, 176, 153, 132, 127, 124, 119, 116, 111, 108)
	L = (1, 99)(2, 100)(3, 101)(4, 102)(5, 103)(6, 104)(7, 105)(8, 106)(9, 107)(10, 108)(11, 109)(12, 110)(13, 111)(14, 112)(15, 113)(16, 114)(17, 115)(18, 116)(19, 117)(20, 118)(21, 119)(22, 120)(23, 121)(24, 122)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 128)(31, 129)(32, 130)(33, 131)(34, 132)(35, 133)(36, 134)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 140)(43, 141)(44, 142)(45, 143)(46, 144)(47, 145)(48, 146)(49, 147)(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) :: { ( 4^49 ), ( 4^98 ) }
Outer automorphisms :: reflexible
Dual of E24.1789
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 98 f = 49
	degree seq :: [ 49^2, 98 ]

E24.1786 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 49, 98})
Quotient :: edge
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-49 ]
Map::
	R = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 33)(32, 49)(34, 36)(35, 38)(37, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(51, 53)(52, 55)(54, 57)(56, 59)(58, 61)(60, 63)(62, 65)(64, 68)(66, 84)(67, 87)(69, 71)(70, 73)(72, 75)(74, 77)(76, 79)(78, 81)(80, 83)(82, 88)(85, 98)(86, 89)(90, 92)(91, 94)(93, 96)(95, 97)(99, 100, 103, 107, 111, 115, 119, 123, 127, 134, 136, 138, 140, 142, 144, 146, 148, 149, 150, 152, 154, 156, 158, 160, 162, 169, 171, 173, 175, 177, 179, 181, 186, 185, 187, 188, 189, 191, 193, 183, 164, 147, 129, 125, 121, 117, 113, 109, 105, 101, 104, 108, 112, 116, 120, 124, 128, 131, 132, 133, 135, 137, 139, 141, 143, 145, 151, 153, 155, 157, 159, 161, 163, 166, 167, 168, 170, 172, 174, 176, 178, 180, 165, 184, 190, 192, 194, 195, 196, 182, 130, 126, 122, 118, 114, 110, 106, 102)
	L = (1, 99)(2, 100)(3, 101)(4, 102)(5, 103)(6, 104)(7, 105)(8, 106)(9, 107)(10, 108)(11, 109)(12, 110)(13, 111)(14, 112)(15, 113)(16, 114)(17, 115)(18, 116)(19, 117)(20, 118)(21, 119)(22, 120)(23, 121)(24, 122)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 128)(31, 129)(32, 130)(33, 131)(34, 132)(35, 133)(36, 134)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 140)(43, 141)(44, 142)(45, 143)(46, 144)(47, 145)(48, 146)(49, 147)(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 ), ( 98^98 ) }
Outer automorphisms :: reflexible
Dual of E24.1787
Transitivity :: ET+
Graph:: bipartite
	v = 50 e = 98 f = 2
	degree seq :: [ 2^49, 98 ]

E24.1787 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 49, 98})
Quotient :: loop
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^49 ]
Map::
	R = (1, 99, 3, 101, 7, 105, 11, 109, 15, 113, 19, 117, 23, 121, 27, 125, 31, 129, 38, 136, 34, 132, 37, 135, 41, 139, 43, 141, 45, 143, 47, 145, 49, 147, 51, 149, 61, 159, 57, 155, 54, 152, 56, 154, 60, 158, 63, 161, 65, 163, 67, 165, 69, 167, 71, 169, 73, 171, 80, 178, 77, 175, 75, 173, 83, 181, 85, 183, 87, 185, 89, 187, 91, 189, 93, 191, 98, 196, 97, 195, 95, 193, 32, 130, 28, 126, 24, 122, 20, 118, 16, 114, 12, 110, 8, 106, 4, 102)(2, 100, 5, 103, 9, 107, 13, 111, 17, 115, 21, 119, 25, 123, 29, 127, 40, 138, 36, 134, 33, 131, 35, 133, 39, 137, 42, 140, 44, 142, 46, 144, 48, 146, 50, 148, 52, 150, 59, 157, 55, 153, 58, 156, 62, 160, 64, 162, 66, 164, 68, 166, 70, 168, 72, 170, 82, 180, 79, 177, 76, 174, 78, 176, 81, 179, 84, 182, 86, 184, 88, 186, 90, 188, 92, 190, 94, 192, 96, 194, 74, 172, 53, 151, 30, 128, 26, 124, 22, 120, 18, 116, 14, 112, 10, 108, 6, 104)
	L = (1, 100)(2, 99)(3, 103)(4, 104)(5, 101)(6, 102)(7, 107)(8, 108)(9, 105)(10, 106)(11, 111)(12, 112)(13, 109)(14, 110)(15, 115)(16, 116)(17, 113)(18, 114)(19, 119)(20, 120)(21, 117)(22, 118)(23, 123)(24, 124)(25, 121)(26, 122)(27, 127)(28, 128)(29, 125)(30, 126)(31, 138)(32, 151)(33, 132)(34, 131)(35, 135)(36, 136)(37, 133)(38, 134)(39, 139)(40, 129)(41, 137)(42, 141)(43, 140)(44, 143)(45, 142)(46, 145)(47, 144)(48, 147)(49, 146)(50, 149)(51, 148)(52, 159)(53, 130)(54, 153)(55, 152)(56, 156)(57, 157)(58, 154)(59, 155)(60, 160)(61, 150)(62, 158)(63, 162)(64, 161)(65, 164)(66, 163)(67, 166)(68, 165)(69, 168)(70, 167)(71, 170)(72, 169)(73, 180)(74, 193)(75, 176)(76, 175)(77, 174)(78, 173)(79, 178)(80, 177)(81, 181)(82, 171)(83, 179)(84, 183)(85, 182)(86, 185)(87, 184)(88, 187)(89, 186)(90, 189)(91, 188)(92, 191)(93, 190)(94, 196)(95, 172)(96, 195)(97, 194)(98, 192)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1786
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 98 f = 50
	degree seq :: [ 98^2 ]

E24.1788 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 49, 98})
Quotient :: loop
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^22 * T2^-1 * T1 * T2^-23, T2^-2 * T1^47, T2^21 * T1^20 * T2^-1 * T1^23 * T2^-1 * T1^23 * T2^-1 * T1 ]
Map::
	R = (1, 99, 3, 101, 9, 107, 13, 111, 17, 115, 21, 119, 25, 123, 29, 127, 33, 131, 36, 134, 40, 138, 38, 136, 42, 140, 44, 142, 46, 144, 48, 146, 50, 148, 52, 150, 56, 154, 61, 159, 57, 155, 59, 157, 63, 161, 65, 163, 67, 165, 69, 167, 71, 169, 73, 171, 79, 177, 81, 179, 78, 176, 83, 181, 86, 184, 88, 186, 90, 188, 92, 190, 94, 192, 96, 194, 97, 195, 76, 174, 53, 151, 32, 130, 27, 125, 24, 122, 19, 117, 16, 114, 11, 109, 8, 106, 2, 100, 7, 105, 4, 102, 10, 108, 14, 112, 18, 116, 22, 120, 26, 124, 30, 128, 34, 132, 39, 137, 35, 133, 37, 135, 41, 139, 43, 141, 45, 143, 47, 145, 49, 147, 51, 149, 55, 153, 58, 156, 62, 160, 60, 158, 64, 162, 66, 164, 68, 166, 70, 168, 72, 170, 74, 172, 80, 178, 84, 182, 77, 175, 82, 180, 85, 183, 87, 185, 89, 187, 91, 189, 93, 191, 95, 193, 98, 196, 75, 173, 54, 152, 31, 129, 28, 126, 23, 121, 20, 118, 15, 113, 12, 110, 6, 104, 5, 103)
	L = (1, 100)(2, 104)(3, 105)(4, 99)(5, 106)(6, 109)(7, 103)(8, 110)(9, 102)(10, 101)(11, 113)(12, 114)(13, 108)(14, 107)(15, 117)(16, 118)(17, 112)(18, 111)(19, 121)(20, 122)(21, 116)(22, 115)(23, 125)(24, 126)(25, 120)(26, 119)(27, 129)(28, 130)(29, 124)(30, 123)(31, 151)(32, 152)(33, 128)(34, 127)(35, 134)(36, 132)(37, 138)(38, 133)(39, 131)(40, 137)(41, 136)(42, 135)(43, 140)(44, 139)(45, 142)(46, 141)(47, 144)(48, 143)(49, 146)(50, 145)(51, 148)(52, 147)(53, 173)(54, 174)(55, 150)(56, 149)(57, 156)(58, 154)(59, 160)(60, 155)(61, 153)(62, 159)(63, 158)(64, 157)(65, 162)(66, 161)(67, 164)(68, 163)(69, 166)(70, 165)(71, 168)(72, 167)(73, 170)(74, 169)(75, 195)(76, 196)(77, 179)(78, 182)(79, 172)(80, 171)(81, 178)(82, 176)(83, 175)(84, 177)(85, 181)(86, 180)(87, 184)(88, 183)(89, 186)(90, 185)(91, 188)(92, 187)(93, 190)(94, 189)(95, 192)(96, 191)(97, 193)(98, 194)
	local type(s) :: { ( 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49, 2, 49 ) }
Outer automorphisms :: reflexible
Dual of E24.1784
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 98 f = 51
	degree seq :: [ 196 ]

E24.1789 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 49, 98})
Quotient :: loop
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-49 ]
Map:: non-degenerate
	R = (1, 99, 3, 101)(2, 100, 6, 104)(4, 102, 7, 105)(5, 103, 10, 108)(8, 106, 11, 109)(9, 107, 14, 112)(12, 110, 15, 113)(13, 111, 18, 116)(16, 114, 19, 117)(17, 115, 22, 120)(20, 118, 23, 121)(21, 119, 26, 124)(24, 122, 27, 125)(25, 123, 30, 128)(28, 126, 31, 129)(29, 127, 38, 136)(32, 130, 51, 149)(33, 131, 35, 133)(34, 132, 37, 135)(36, 134, 40, 138)(39, 137, 42, 140)(41, 139, 44, 142)(43, 141, 46, 144)(45, 143, 48, 146)(47, 145, 50, 148)(49, 147, 57, 155)(52, 150, 54, 152)(53, 151, 56, 154)(55, 153, 59, 157)(58, 156, 61, 159)(60, 158, 63, 161)(62, 160, 65, 163)(64, 162, 67, 165)(66, 164, 69, 167)(68, 166, 77, 175)(70, 168, 89, 187)(71, 169, 84, 182)(72, 170, 74, 172)(73, 171, 76, 174)(75, 173, 79, 177)(78, 176, 81, 179)(80, 178, 82, 180)(83, 181, 86, 184)(85, 183, 88, 186)(87, 185, 96, 194)(90, 188, 98, 196)(91, 189, 93, 191)(92, 190, 95, 193)(94, 192, 97, 195)
	L = (1, 100)(2, 103)(3, 104)(4, 99)(5, 107)(6, 108)(7, 101)(8, 102)(9, 111)(10, 112)(11, 105)(12, 106)(13, 115)(14, 116)(15, 109)(16, 110)(17, 119)(18, 120)(19, 113)(20, 114)(21, 123)(22, 124)(23, 117)(24, 118)(25, 127)(26, 128)(27, 121)(28, 122)(29, 131)(30, 136)(31, 125)(32, 126)(33, 132)(34, 134)(35, 135)(36, 137)(37, 138)(38, 133)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 150)(50, 155)(51, 129)(52, 151)(53, 153)(54, 154)(55, 156)(56, 157)(57, 152)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 170)(69, 175)(70, 149)(71, 181)(72, 171)(73, 173)(74, 174)(75, 176)(76, 177)(77, 172)(78, 178)(79, 179)(80, 169)(81, 180)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 189)(88, 194)(89, 130)(90, 168)(91, 190)(92, 192)(93, 193)(94, 188)(95, 195)(96, 191)(97, 196)(98, 187)
	local type(s) :: { ( 49, 98, 49, 98 ) }
Outer automorphisms :: reflexible
Dual of E24.1785
Transitivity :: ET+ VT+ AT
Graph::
	v = 49 e = 98 f = 3
	degree seq :: [ 4^49 ]

E24.1790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 49, 98})
Quotient :: dipole
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 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, Y2^49, (Y3 * Y2^-1)^98 ]
Map::
	R = (1, 99, 2, 100)(3, 101, 5, 103)(4, 102, 6, 104)(7, 105, 9, 107)(8, 106, 10, 108)(11, 109, 13, 111)(12, 110, 14, 112)(15, 113, 17, 115)(16, 114, 18, 116)(19, 117, 21, 119)(20, 118, 22, 120)(23, 121, 25, 123)(24, 122, 26, 124)(27, 125, 29, 127)(28, 126, 30, 128)(31, 129, 41, 139)(32, 130, 53, 151)(33, 131, 34, 132)(35, 133, 37, 135)(36, 134, 38, 136)(39, 137, 40, 138)(42, 140, 43, 141)(44, 142, 45, 143)(46, 144, 47, 145)(48, 146, 49, 147)(50, 148, 51, 149)(52, 150, 62, 160)(54, 152, 55, 153)(56, 154, 58, 156)(57, 155, 59, 157)(60, 158, 61, 159)(63, 161, 64, 162)(65, 163, 66, 164)(67, 165, 68, 166)(69, 167, 70, 168)(71, 169, 72, 170)(73, 171, 83, 181)(74, 172, 95, 193)(75, 173, 78, 176)(76, 174, 77, 175)(79, 177, 80, 178)(81, 179, 82, 180)(84, 182, 85, 183)(86, 184, 87, 185)(88, 186, 89, 187)(90, 188, 91, 189)(92, 190, 93, 191)(94, 192, 98, 196)(96, 194, 97, 195)(197, 295, 199, 297, 203, 301, 207, 305, 211, 309, 215, 313, 219, 317, 223, 321, 227, 325, 232, 330, 229, 327, 231, 329, 235, 333, 238, 336, 240, 338, 242, 340, 244, 342, 246, 344, 248, 346, 253, 351, 250, 348, 252, 350, 256, 354, 259, 357, 261, 359, 263, 361, 265, 363, 267, 365, 269, 367, 275, 373, 272, 370, 274, 372, 277, 375, 280, 378, 282, 380, 284, 382, 286, 384, 288, 386, 290, 388, 293, 391, 291, 389, 228, 326, 224, 322, 220, 318, 216, 314, 212, 310, 208, 306, 204, 302, 200, 298)(198, 296, 201, 299, 205, 303, 209, 307, 213, 311, 217, 315, 221, 319, 225, 323, 237, 335, 234, 332, 230, 328, 233, 331, 236, 334, 239, 337, 241, 339, 243, 341, 245, 343, 247, 345, 258, 356, 255, 353, 251, 349, 254, 352, 257, 355, 260, 358, 262, 360, 264, 362, 266, 364, 268, 366, 279, 377, 276, 374, 273, 371, 271, 369, 278, 376, 281, 379, 283, 381, 285, 383, 287, 385, 289, 387, 294, 392, 292, 390, 270, 368, 249, 347, 226, 324, 222, 320, 218, 316, 214, 312, 210, 308, 206, 304, 202, 300)
	L = (1, 198)(2, 197)(3, 201)(4, 202)(5, 199)(6, 200)(7, 205)(8, 206)(9, 203)(10, 204)(11, 209)(12, 210)(13, 207)(14, 208)(15, 213)(16, 214)(17, 211)(18, 212)(19, 217)(20, 218)(21, 215)(22, 216)(23, 221)(24, 222)(25, 219)(26, 220)(27, 225)(28, 226)(29, 223)(30, 224)(31, 237)(32, 249)(33, 230)(34, 229)(35, 233)(36, 234)(37, 231)(38, 232)(39, 236)(40, 235)(41, 227)(42, 239)(43, 238)(44, 241)(45, 240)(46, 243)(47, 242)(48, 245)(49, 244)(50, 247)(51, 246)(52, 258)(53, 228)(54, 251)(55, 250)(56, 254)(57, 255)(58, 252)(59, 253)(60, 257)(61, 256)(62, 248)(63, 260)(64, 259)(65, 262)(66, 261)(67, 264)(68, 263)(69, 266)(70, 265)(71, 268)(72, 267)(73, 279)(74, 291)(75, 274)(76, 273)(77, 272)(78, 271)(79, 276)(80, 275)(81, 278)(82, 277)(83, 269)(84, 281)(85, 280)(86, 283)(87, 282)(88, 285)(89, 284)(90, 287)(91, 286)(92, 289)(93, 288)(94, 294)(95, 270)(96, 293)(97, 292)(98, 290)(99, 295)(100, 296)(101, 297)(102, 298)(103, 299)(104, 300)(105, 301)(106, 302)(107, 303)(108, 304)(109, 305)(110, 306)(111, 307)(112, 308)(113, 309)(114, 310)(115, 311)(116, 312)(117, 313)(118, 314)(119, 315)(120, 316)(121, 317)(122, 318)(123, 319)(124, 320)(125, 321)(126, 322)(127, 323)(128, 324)(129, 325)(130, 326)(131, 327)(132, 328)(133, 329)(134, 330)(135, 331)(136, 332)(137, 333)(138, 334)(139, 335)(140, 336)(141, 337)(142, 338)(143, 339)(144, 340)(145, 341)(146, 342)(147, 343)(148, 344)(149, 345)(150, 346)(151, 347)(152, 348)(153, 349)(154, 350)(155, 351)(156, 352)(157, 353)(158, 354)(159, 355)(160, 356)(161, 357)(162, 358)(163, 359)(164, 360)(165, 361)(166, 362)(167, 363)(168, 364)(169, 365)(170, 366)(171, 367)(172, 368)(173, 369)(174, 370)(175, 371)(176, 372)(177, 373)(178, 374)(179, 375)(180, 376)(181, 377)(182, 378)(183, 379)(184, 380)(185, 381)(186, 382)(187, 383)(188, 384)(189, 385)(190, 386)(191, 387)(192, 388)(193, 389)(194, 390)(195, 391)(196, 392)
	local type(s) :: { ( 2, 196, 2, 196 ), ( 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196, 2, 196 ) }
Outer automorphisms :: reflexible
Dual of E24.1793
Graph:: bipartite
	v = 51 e = 196 f = 99
	degree seq :: [ 4^49, 98^2 ]

E24.1791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 49, 98})
Quotient :: dipole
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^2 * Y1^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^-24 * Y2^-24, Y1^-1 * Y2^48, Y1^49 ]
Map::
	R = (1, 99, 2, 100, 6, 104, 11, 109, 15, 113, 19, 117, 23, 121, 27, 125, 31, 129, 35, 133, 36, 134, 38, 136, 41, 139, 43, 141, 45, 143, 47, 145, 49, 147, 51, 149, 55, 153, 56, 154, 58, 156, 61, 159, 63, 161, 65, 163, 67, 165, 69, 167, 71, 169, 77, 175, 78, 176, 80, 178, 83, 181, 76, 174, 85, 183, 87, 185, 89, 187, 91, 189, 95, 193, 96, 194, 94, 192, 73, 171, 54, 152, 33, 131, 30, 128, 25, 123, 22, 120, 17, 115, 14, 112, 9, 107, 4, 102)(3, 101, 7, 105, 5, 103, 8, 106, 12, 110, 16, 114, 20, 118, 24, 122, 28, 126, 32, 130, 39, 137, 37, 135, 40, 138, 42, 140, 44, 142, 46, 144, 48, 146, 50, 148, 52, 150, 59, 157, 57, 155, 60, 158, 62, 160, 64, 162, 66, 164, 68, 166, 70, 168, 72, 170, 81, 179, 79, 177, 82, 180, 84, 182, 75, 173, 86, 184, 88, 186, 90, 188, 92, 190, 98, 196, 97, 195, 93, 191, 74, 172, 53, 151, 34, 132, 29, 127, 26, 124, 21, 119, 18, 116, 13, 111, 10, 108)(197, 295, 199, 297, 205, 303, 209, 307, 213, 311, 217, 315, 221, 319, 225, 323, 229, 327, 249, 347, 269, 367, 289, 387, 292, 390, 294, 392, 287, 385, 286, 384, 283, 381, 282, 380, 272, 370, 280, 378, 276, 374, 275, 373, 273, 371, 268, 366, 265, 363, 264, 362, 261, 359, 260, 358, 257, 355, 256, 354, 252, 350, 255, 353, 247, 345, 246, 344, 243, 341, 242, 340, 239, 337, 238, 336, 234, 332, 233, 331, 231, 329, 228, 326, 223, 321, 220, 318, 215, 313, 212, 310, 207, 305, 204, 302, 198, 296, 203, 301, 200, 298, 206, 304, 210, 308, 214, 312, 218, 316, 222, 320, 226, 324, 230, 328, 250, 348, 270, 368, 290, 388, 293, 391, 291, 389, 288, 386, 285, 383, 284, 382, 281, 379, 271, 369, 279, 377, 278, 376, 274, 372, 277, 375, 267, 365, 266, 364, 263, 361, 262, 360, 259, 357, 258, 356, 254, 352, 253, 351, 251, 349, 248, 346, 245, 343, 244, 342, 241, 339, 240, 338, 237, 335, 236, 334, 232, 330, 235, 333, 227, 325, 224, 322, 219, 317, 216, 314, 211, 309, 208, 306, 202, 300, 201, 299)
	L = (1, 199)(2, 203)(3, 205)(4, 206)(5, 197)(6, 201)(7, 200)(8, 198)(9, 209)(10, 210)(11, 204)(12, 202)(13, 213)(14, 214)(15, 208)(16, 207)(17, 217)(18, 218)(19, 212)(20, 211)(21, 221)(22, 222)(23, 216)(24, 215)(25, 225)(26, 226)(27, 220)(28, 219)(29, 229)(30, 230)(31, 224)(32, 223)(33, 249)(34, 250)(35, 228)(36, 235)(37, 231)(38, 233)(39, 227)(40, 232)(41, 236)(42, 234)(43, 238)(44, 237)(45, 240)(46, 239)(47, 242)(48, 241)(49, 244)(50, 243)(51, 246)(52, 245)(53, 269)(54, 270)(55, 248)(56, 255)(57, 251)(58, 253)(59, 247)(60, 252)(61, 256)(62, 254)(63, 258)(64, 257)(65, 260)(66, 259)(67, 262)(68, 261)(69, 264)(70, 263)(71, 266)(72, 265)(73, 289)(74, 290)(75, 279)(76, 280)(77, 268)(78, 277)(79, 273)(80, 275)(81, 267)(82, 274)(83, 278)(84, 276)(85, 271)(86, 272)(87, 282)(88, 281)(89, 284)(90, 283)(91, 286)(92, 285)(93, 292)(94, 293)(95, 288)(96, 294)(97, 291)(98, 287)(99, 295)(100, 296)(101, 297)(102, 298)(103, 299)(104, 300)(105, 301)(106, 302)(107, 303)(108, 304)(109, 305)(110, 306)(111, 307)(112, 308)(113, 309)(114, 310)(115, 311)(116, 312)(117, 313)(118, 314)(119, 315)(120, 316)(121, 317)(122, 318)(123, 319)(124, 320)(125, 321)(126, 322)(127, 323)(128, 324)(129, 325)(130, 326)(131, 327)(132, 328)(133, 329)(134, 330)(135, 331)(136, 332)(137, 333)(138, 334)(139, 335)(140, 336)(141, 337)(142, 338)(143, 339)(144, 340)(145, 341)(146, 342)(147, 343)(148, 344)(149, 345)(150, 346)(151, 347)(152, 348)(153, 349)(154, 350)(155, 351)(156, 352)(157, 353)(158, 354)(159, 355)(160, 356)(161, 357)(162, 358)(163, 359)(164, 360)(165, 361)(166, 362)(167, 363)(168, 364)(169, 365)(170, 366)(171, 367)(172, 368)(173, 369)(174, 370)(175, 371)(176, 372)(177, 373)(178, 374)(179, 375)(180, 376)(181, 377)(182, 378)(183, 379)(184, 380)(185, 381)(186, 382)(187, 383)(188, 384)(189, 385)(190, 386)(191, 387)(192, 388)(193, 389)(194, 390)(195, 391)(196, 392)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.1792
Graph:: bipartite
	v = 3 e = 196 f = 147
	degree seq :: [ 98^2, 196 ]

E24.1792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 49, 98})
Quotient :: dipole
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 3>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^49 * Y2, (Y3^-1 * Y1^-1)^98 ]
Map::
	R = (1, 99)(2, 100)(3, 101)(4, 102)(5, 103)(6, 104)(7, 105)(8, 106)(9, 107)(10, 108)(11, 109)(12, 110)(13, 111)(14, 112)(15, 113)(16, 114)(17, 115)(18, 116)(19, 117)(20, 118)(21, 119)(22, 120)(23, 121)(24, 122)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 128)(31, 129)(32, 130)(33, 131)(34, 132)(35, 133)(36, 134)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 140)(43, 141)(44, 142)(45, 143)(46, 144)(47, 145)(48, 146)(49, 147)(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)(197, 295, 198, 296)(199, 297, 201, 299)(200, 298, 202, 300)(203, 301, 205, 303)(204, 302, 206, 304)(207, 305, 209, 307)(208, 306, 210, 308)(211, 309, 213, 311)(212, 310, 214, 312)(215, 313, 217, 315)(216, 314, 218, 316)(219, 317, 221, 319)(220, 318, 222, 320)(223, 321, 225, 323)(224, 322, 226, 324)(227, 325, 236, 334)(228, 326, 249, 347)(229, 327, 230, 328)(231, 329, 233, 331)(232, 330, 234, 332)(235, 333, 237, 335)(238, 336, 239, 337)(240, 338, 241, 339)(242, 340, 243, 341)(244, 342, 245, 343)(246, 344, 247, 345)(248, 346, 257, 355)(250, 348, 251, 349)(252, 350, 254, 352)(253, 351, 255, 353)(256, 354, 258, 356)(259, 357, 260, 358)(261, 359, 262, 360)(263, 361, 264, 362)(265, 363, 266, 364)(267, 365, 268, 366)(269, 367, 278, 376)(270, 368, 291, 389)(271, 369, 275, 373)(272, 370, 273, 371)(274, 372, 276, 374)(277, 375, 279, 377)(280, 378, 281, 379)(282, 380, 283, 381)(284, 382, 285, 383)(286, 384, 287, 385)(288, 386, 289, 387)(290, 388, 294, 392)(292, 390, 293, 391)
	L = (1, 199)(2, 201)(3, 203)(4, 197)(5, 205)(6, 198)(7, 207)(8, 200)(9, 209)(10, 202)(11, 211)(12, 204)(13, 213)(14, 206)(15, 215)(16, 208)(17, 217)(18, 210)(19, 219)(20, 212)(21, 221)(22, 214)(23, 223)(24, 216)(25, 225)(26, 218)(27, 227)(28, 220)(29, 236)(30, 222)(31, 234)(32, 224)(33, 231)(34, 233)(35, 235)(36, 229)(37, 237)(38, 230)(39, 238)(40, 232)(41, 239)(42, 240)(43, 241)(44, 242)(45, 243)(46, 244)(47, 245)(48, 246)(49, 247)(50, 248)(51, 257)(52, 255)(53, 226)(54, 252)(55, 254)(56, 256)(57, 250)(58, 258)(59, 251)(60, 259)(61, 253)(62, 260)(63, 261)(64, 262)(65, 263)(66, 264)(67, 265)(68, 266)(69, 267)(70, 268)(71, 269)(72, 278)(73, 276)(74, 249)(75, 277)(76, 271)(77, 275)(78, 272)(79, 279)(80, 273)(81, 280)(82, 274)(83, 281)(84, 282)(85, 283)(86, 284)(87, 285)(88, 286)(89, 287)(90, 288)(91, 289)(92, 290)(93, 294)(94, 293)(95, 228)(96, 270)(97, 291)(98, 292)(99, 295)(100, 296)(101, 297)(102, 298)(103, 299)(104, 300)(105, 301)(106, 302)(107, 303)(108, 304)(109, 305)(110, 306)(111, 307)(112, 308)(113, 309)(114, 310)(115, 311)(116, 312)(117, 313)(118, 314)(119, 315)(120, 316)(121, 317)(122, 318)(123, 319)(124, 320)(125, 321)(126, 322)(127, 323)(128, 324)(129, 325)(130, 326)(131, 327)(132, 328)(133, 329)(134, 330)(135, 331)(136, 332)(137, 333)(138, 334)(139, 335)(140, 336)(141, 337)(142, 338)(143, 339)(144, 340)(145, 341)(146, 342)(147, 343)(148, 344)(149, 345)(150, 346)(151, 347)(152, 348)(153, 349)(154, 350)(155, 351)(156, 352)(157, 353)(158, 354)(159, 355)(160, 356)(161, 357)(162, 358)(163, 359)(164, 360)(165, 361)(166, 362)(167, 363)(168, 364)(169, 365)(170, 366)(171, 367)(172, 368)(173, 369)(174, 370)(175, 371)(176, 372)(177, 373)(178, 374)(179, 375)(180, 376)(181, 377)(182, 378)(183, 379)(184, 380)(185, 381)(186, 382)(187, 383)(188, 384)(189, 385)(190, 386)(191, 387)(192, 388)(193, 389)(194, 390)(195, 391)(196, 392)
	local type(s) :: { ( 98, 196 ), ( 98, 196, 98, 196 ) }
Outer automorphisms :: reflexible
Dual of E24.1791
Graph:: simple bipartite
	v = 147 e = 196 f = 3
	degree seq :: [ 2^98, 4^49 ]

E24.1793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 49, 98})
Quotient :: dipole
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 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^-49 ]
Map::
	R = (1, 99, 2, 100, 5, 103, 9, 107, 13, 111, 17, 115, 21, 119, 25, 123, 29, 127, 36, 134, 38, 136, 40, 138, 42, 140, 44, 142, 46, 144, 48, 146, 50, 148, 51, 149, 52, 150, 54, 152, 56, 154, 58, 156, 60, 158, 62, 160, 64, 162, 71, 169, 73, 171, 75, 173, 77, 175, 79, 177, 81, 179, 83, 181, 88, 186, 87, 185, 89, 187, 90, 188, 91, 189, 93, 191, 95, 193, 85, 183, 66, 164, 49, 147, 31, 129, 27, 125, 23, 121, 19, 117, 15, 113, 11, 109, 7, 105, 3, 101, 6, 104, 10, 108, 14, 112, 18, 116, 22, 120, 26, 124, 30, 128, 33, 131, 34, 132, 35, 133, 37, 135, 39, 137, 41, 139, 43, 141, 45, 143, 47, 145, 53, 151, 55, 153, 57, 155, 59, 157, 61, 159, 63, 161, 65, 163, 68, 166, 69, 167, 70, 168, 72, 170, 74, 172, 76, 174, 78, 176, 80, 178, 82, 180, 67, 165, 86, 184, 92, 190, 94, 192, 96, 194, 97, 195, 98, 196, 84, 182, 32, 130, 28, 126, 24, 122, 20, 118, 16, 114, 12, 110, 8, 106, 4, 102)(197, 295)(198, 296)(199, 297)(200, 298)(201, 299)(202, 300)(203, 301)(204, 302)(205, 303)(206, 304)(207, 305)(208, 306)(209, 307)(210, 308)(211, 309)(212, 310)(213, 311)(214, 312)(215, 313)(216, 314)(217, 315)(218, 316)(219, 317)(220, 318)(221, 319)(222, 320)(223, 321)(224, 322)(225, 323)(226, 324)(227, 325)(228, 326)(229, 327)(230, 328)(231, 329)(232, 330)(233, 331)(234, 332)(235, 333)(236, 334)(237, 335)(238, 336)(239, 337)(240, 338)(241, 339)(242, 340)(243, 341)(244, 342)(245, 343)(246, 344)(247, 345)(248, 346)(249, 347)(250, 348)(251, 349)(252, 350)(253, 351)(254, 352)(255, 353)(256, 354)(257, 355)(258, 356)(259, 357)(260, 358)(261, 359)(262, 360)(263, 361)(264, 362)(265, 363)(266, 364)(267, 365)(268, 366)(269, 367)(270, 368)(271, 369)(272, 370)(273, 371)(274, 372)(275, 373)(276, 374)(277, 375)(278, 376)(279, 377)(280, 378)(281, 379)(282, 380)(283, 381)(284, 382)(285, 383)(286, 384)(287, 385)(288, 386)(289, 387)(290, 388)(291, 389)(292, 390)(293, 391)(294, 392)
	L = (1, 199)(2, 202)(3, 197)(4, 203)(5, 206)(6, 198)(7, 200)(8, 207)(9, 210)(10, 201)(11, 204)(12, 211)(13, 214)(14, 205)(15, 208)(16, 215)(17, 218)(18, 209)(19, 212)(20, 219)(21, 222)(22, 213)(23, 216)(24, 223)(25, 226)(26, 217)(27, 220)(28, 227)(29, 229)(30, 221)(31, 224)(32, 245)(33, 225)(34, 232)(35, 234)(36, 230)(37, 236)(38, 231)(39, 238)(40, 233)(41, 240)(42, 235)(43, 242)(44, 237)(45, 244)(46, 239)(47, 246)(48, 241)(49, 228)(50, 243)(51, 249)(52, 251)(53, 247)(54, 253)(55, 248)(56, 255)(57, 250)(58, 257)(59, 252)(60, 259)(61, 254)(62, 261)(63, 256)(64, 264)(65, 258)(66, 280)(67, 283)(68, 260)(69, 267)(70, 269)(71, 265)(72, 271)(73, 266)(74, 273)(75, 268)(76, 275)(77, 270)(78, 277)(79, 272)(80, 279)(81, 274)(82, 284)(83, 276)(84, 262)(85, 294)(86, 285)(87, 263)(88, 278)(89, 282)(90, 288)(91, 290)(92, 286)(93, 292)(94, 287)(95, 293)(96, 289)(97, 291)(98, 281)(99, 295)(100, 296)(101, 297)(102, 298)(103, 299)(104, 300)(105, 301)(106, 302)(107, 303)(108, 304)(109, 305)(110, 306)(111, 307)(112, 308)(113, 309)(114, 310)(115, 311)(116, 312)(117, 313)(118, 314)(119, 315)(120, 316)(121, 317)(122, 318)(123, 319)(124, 320)(125, 321)(126, 322)(127, 323)(128, 324)(129, 325)(130, 326)(131, 327)(132, 328)(133, 329)(134, 330)(135, 331)(136, 332)(137, 333)(138, 334)(139, 335)(140, 336)(141, 337)(142, 338)(143, 339)(144, 340)(145, 341)(146, 342)(147, 343)(148, 344)(149, 345)(150, 346)(151, 347)(152, 348)(153, 349)(154, 350)(155, 351)(156, 352)(157, 353)(158, 354)(159, 355)(160, 356)(161, 357)(162, 358)(163, 359)(164, 360)(165, 361)(166, 362)(167, 363)(168, 364)(169, 365)(170, 366)(171, 367)(172, 368)(173, 369)(174, 370)(175, 371)(176, 372)(177, 373)(178, 374)(179, 375)(180, 376)(181, 377)(182, 378)(183, 379)(184, 380)(185, 381)(186, 382)(187, 383)(188, 384)(189, 385)(190, 386)(191, 387)(192, 388)(193, 389)(194, 390)(195, 391)(196, 392)
	local type(s) :: { ( 4, 98 ), ( 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98, 4, 98 ) }
Outer automorphisms :: reflexible
Dual of E24.1790
Graph:: bipartite
	v = 99 e = 196 f = 51
	degree seq :: [ 2^98, 196 ]

E24.1794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 49, 98})
Quotient :: dipole
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 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, Y2^49 * Y1, (Y3 * Y2^-1)^49 ]
Map::
	R = (1, 99, 2, 100)(3, 101, 5, 103)(4, 102, 6, 104)(7, 105, 9, 107)(8, 106, 10, 108)(11, 109, 13, 111)(12, 110, 14, 112)(15, 113, 17, 115)(16, 114, 18, 116)(19, 117, 21, 119)(20, 118, 22, 120)(23, 121, 25, 123)(24, 122, 26, 124)(27, 125, 29, 127)(28, 126, 30, 128)(31, 129, 45, 143)(32, 130, 55, 153)(33, 131, 34, 132)(35, 133, 37, 135)(36, 134, 38, 136)(39, 137, 41, 139)(40, 138, 42, 140)(43, 141, 44, 142)(46, 144, 47, 145)(48, 146, 49, 147)(50, 148, 51, 149)(52, 150, 53, 151)(54, 152, 68, 166)(56, 154, 57, 155)(58, 156, 60, 158)(59, 157, 61, 159)(62, 160, 64, 162)(63, 161, 65, 163)(66, 164, 67, 165)(69, 167, 70, 168)(71, 169, 72, 170)(73, 171, 74, 172)(75, 173, 76, 174)(77, 175, 91, 189)(78, 176, 98, 196)(79, 177, 80, 178)(81, 179, 83, 181)(82, 180, 84, 182)(85, 183, 87, 185)(86, 184, 88, 186)(89, 187, 90, 188)(92, 190, 93, 191)(94, 192, 95, 193)(96, 194, 97, 195)(197, 295, 199, 297, 203, 301, 207, 305, 211, 309, 215, 313, 219, 317, 223, 321, 227, 325, 236, 334, 232, 330, 229, 327, 231, 329, 235, 333, 239, 337, 242, 340, 244, 342, 246, 344, 248, 346, 250, 348, 259, 357, 255, 353, 252, 350, 254, 352, 258, 356, 262, 360, 265, 363, 267, 365, 269, 367, 271, 369, 273, 371, 282, 380, 278, 376, 275, 373, 277, 375, 281, 379, 285, 383, 288, 386, 290, 388, 292, 390, 274, 372, 251, 349, 226, 324, 222, 320, 218, 316, 214, 312, 210, 308, 206, 304, 202, 300, 198, 296, 201, 299, 205, 303, 209, 307, 213, 311, 217, 315, 221, 319, 225, 323, 241, 339, 238, 336, 234, 332, 230, 328, 233, 331, 237, 335, 240, 338, 243, 341, 245, 343, 247, 345, 249, 347, 264, 362, 261, 359, 257, 355, 253, 351, 256, 354, 260, 358, 263, 361, 266, 364, 268, 366, 270, 368, 272, 370, 287, 385, 284, 382, 280, 378, 276, 374, 279, 377, 283, 381, 286, 384, 289, 387, 291, 389, 293, 391, 294, 392, 228, 326, 224, 322, 220, 318, 216, 314, 212, 310, 208, 306, 204, 302, 200, 298)
	L = (1, 198)(2, 197)(3, 201)(4, 202)(5, 199)(6, 200)(7, 205)(8, 206)(9, 203)(10, 204)(11, 209)(12, 210)(13, 207)(14, 208)(15, 213)(16, 214)(17, 211)(18, 212)(19, 217)(20, 218)(21, 215)(22, 216)(23, 221)(24, 222)(25, 219)(26, 220)(27, 225)(28, 226)(29, 223)(30, 224)(31, 241)(32, 251)(33, 230)(34, 229)(35, 233)(36, 234)(37, 231)(38, 232)(39, 237)(40, 238)(41, 235)(42, 236)(43, 240)(44, 239)(45, 227)(46, 243)(47, 242)(48, 245)(49, 244)(50, 247)(51, 246)(52, 249)(53, 248)(54, 264)(55, 228)(56, 253)(57, 252)(58, 256)(59, 257)(60, 254)(61, 255)(62, 260)(63, 261)(64, 258)(65, 259)(66, 263)(67, 262)(68, 250)(69, 266)(70, 265)(71, 268)(72, 267)(73, 270)(74, 269)(75, 272)(76, 271)(77, 287)(78, 294)(79, 276)(80, 275)(81, 279)(82, 280)(83, 277)(84, 278)(85, 283)(86, 284)(87, 281)(88, 282)(89, 286)(90, 285)(91, 273)(92, 289)(93, 288)(94, 291)(95, 290)(96, 293)(97, 292)(98, 274)(99, 295)(100, 296)(101, 297)(102, 298)(103, 299)(104, 300)(105, 301)(106, 302)(107, 303)(108, 304)(109, 305)(110, 306)(111, 307)(112, 308)(113, 309)(114, 310)(115, 311)(116, 312)(117, 313)(118, 314)(119, 315)(120, 316)(121, 317)(122, 318)(123, 319)(124, 320)(125, 321)(126, 322)(127, 323)(128, 324)(129, 325)(130, 326)(131, 327)(132, 328)(133, 329)(134, 330)(135, 331)(136, 332)(137, 333)(138, 334)(139, 335)(140, 336)(141, 337)(142, 338)(143, 339)(144, 340)(145, 341)(146, 342)(147, 343)(148, 344)(149, 345)(150, 346)(151, 347)(152, 348)(153, 349)(154, 350)(155, 351)(156, 352)(157, 353)(158, 354)(159, 355)(160, 356)(161, 357)(162, 358)(163, 359)(164, 360)(165, 361)(166, 362)(167, 363)(168, 364)(169, 365)(170, 366)(171, 367)(172, 368)(173, 369)(174, 370)(175, 371)(176, 372)(177, 373)(178, 374)(179, 375)(180, 376)(181, 377)(182, 378)(183, 379)(184, 380)(185, 381)(186, 382)(187, 383)(188, 384)(189, 385)(190, 386)(191, 387)(192, 388)(193, 389)(194, 390)(195, 391)(196, 392)
	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, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 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 E24.1795
Graph:: bipartite
	v = 50 e = 196 f = 100
	degree seq :: [ 4^49, 196 ]

E24.1795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 49, 98})
Quotient :: dipole
Aut^+ = C98 (small group id <98, 2>)
Aut   = D196 (small group id <196, 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 * Y1^47, Y3^-2 * Y1^22 * Y3^-1 * Y1 * Y3^-23, (Y3 * Y2^-1)^98 ]
Map::
	R = (1, 99, 2, 100, 6, 104, 11, 109, 15, 113, 19, 117, 23, 121, 27, 125, 31, 129, 48, 146, 43, 141, 38, 136, 35, 133, 36, 134, 40, 138, 45, 143, 49, 147, 51, 149, 53, 151, 55, 153, 57, 155, 74, 172, 69, 167, 64, 162, 61, 159, 62, 160, 66, 164, 71, 169, 75, 173, 77, 175, 79, 177, 81, 179, 83, 181, 98, 196, 95, 193, 90, 188, 87, 185, 88, 186, 92, 190, 85, 183, 60, 158, 33, 131, 30, 128, 25, 123, 22, 120, 17, 115, 14, 112, 9, 107, 4, 102)(3, 101, 7, 105, 5, 103, 8, 106, 12, 110, 16, 114, 20, 118, 24, 122, 28, 126, 32, 130, 47, 145, 44, 142, 37, 135, 41, 139, 39, 137, 42, 140, 46, 144, 50, 148, 52, 150, 54, 152, 56, 154, 58, 156, 73, 171, 70, 168, 63, 161, 67, 165, 65, 163, 68, 166, 72, 170, 76, 174, 78, 176, 80, 178, 82, 180, 84, 182, 97, 195, 96, 194, 89, 187, 93, 191, 91, 189, 94, 192, 86, 184, 59, 157, 34, 132, 29, 127, 26, 124, 21, 119, 18, 116, 13, 111, 10, 108)(197, 295)(198, 296)(199, 297)(200, 298)(201, 299)(202, 300)(203, 301)(204, 302)(205, 303)(206, 304)(207, 305)(208, 306)(209, 307)(210, 308)(211, 309)(212, 310)(213, 311)(214, 312)(215, 313)(216, 314)(217, 315)(218, 316)(219, 317)(220, 318)(221, 319)(222, 320)(223, 321)(224, 322)(225, 323)(226, 324)(227, 325)(228, 326)(229, 327)(230, 328)(231, 329)(232, 330)(233, 331)(234, 332)(235, 333)(236, 334)(237, 335)(238, 336)(239, 337)(240, 338)(241, 339)(242, 340)(243, 341)(244, 342)(245, 343)(246, 344)(247, 345)(248, 346)(249, 347)(250, 348)(251, 349)(252, 350)(253, 351)(254, 352)(255, 353)(256, 354)(257, 355)(258, 356)(259, 357)(260, 358)(261, 359)(262, 360)(263, 361)(264, 362)(265, 363)(266, 364)(267, 365)(268, 366)(269, 367)(270, 368)(271, 369)(272, 370)(273, 371)(274, 372)(275, 373)(276, 374)(277, 375)(278, 376)(279, 377)(280, 378)(281, 379)(282, 380)(283, 381)(284, 382)(285, 383)(286, 384)(287, 385)(288, 386)(289, 387)(290, 388)(291, 389)(292, 390)(293, 391)(294, 392)
	L = (1, 199)(2, 203)(3, 205)(4, 206)(5, 197)(6, 201)(7, 200)(8, 198)(9, 209)(10, 210)(11, 204)(12, 202)(13, 213)(14, 214)(15, 208)(16, 207)(17, 217)(18, 218)(19, 212)(20, 211)(21, 221)(22, 222)(23, 216)(24, 215)(25, 225)(26, 226)(27, 220)(28, 219)(29, 229)(30, 230)(31, 224)(32, 223)(33, 255)(34, 256)(35, 233)(36, 237)(37, 239)(38, 240)(39, 231)(40, 235)(41, 234)(42, 232)(43, 243)(44, 244)(45, 238)(46, 236)(47, 227)(48, 228)(49, 242)(50, 241)(51, 246)(52, 245)(53, 248)(54, 247)(55, 250)(56, 249)(57, 252)(58, 251)(59, 281)(60, 282)(61, 259)(62, 263)(63, 265)(64, 266)(65, 257)(66, 261)(67, 260)(68, 258)(69, 269)(70, 270)(71, 264)(72, 262)(73, 253)(74, 254)(75, 268)(76, 267)(77, 272)(78, 271)(79, 274)(80, 273)(81, 276)(82, 275)(83, 278)(84, 277)(85, 290)(86, 288)(87, 285)(88, 289)(89, 291)(90, 292)(91, 283)(92, 287)(93, 286)(94, 284)(95, 293)(96, 294)(97, 279)(98, 280)(99, 295)(100, 296)(101, 297)(102, 298)(103, 299)(104, 300)(105, 301)(106, 302)(107, 303)(108, 304)(109, 305)(110, 306)(111, 307)(112, 308)(113, 309)(114, 310)(115, 311)(116, 312)(117, 313)(118, 314)(119, 315)(120, 316)(121, 317)(122, 318)(123, 319)(124, 320)(125, 321)(126, 322)(127, 323)(128, 324)(129, 325)(130, 326)(131, 327)(132, 328)(133, 329)(134, 330)(135, 331)(136, 332)(137, 333)(138, 334)(139, 335)(140, 336)(141, 337)(142, 338)(143, 339)(144, 340)(145, 341)(146, 342)(147, 343)(148, 344)(149, 345)(150, 346)(151, 347)(152, 348)(153, 349)(154, 350)(155, 351)(156, 352)(157, 353)(158, 354)(159, 355)(160, 356)(161, 357)(162, 358)(163, 359)(164, 360)(165, 361)(166, 362)(167, 363)(168, 364)(169, 365)(170, 366)(171, 367)(172, 368)(173, 369)(174, 370)(175, 371)(176, 372)(177, 373)(178, 374)(179, 375)(180, 376)(181, 377)(182, 378)(183, 379)(184, 380)(185, 381)(186, 382)(187, 383)(188, 384)(189, 385)(190, 386)(191, 387)(192, 388)(193, 389)(194, 390)(195, 391)(196, 392)
	local type(s) :: { ( 4, 196 ), ( 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196, 4, 196 ) }
Outer automorphisms :: reflexible
Dual of E24.1794
Graph:: simple bipartite
	v = 100 e = 196 f = 50
	degree seq :: [ 2^98, 98^2 ]

E24.1796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 25})
Quotient :: dipole
Aut^+ = D100 (small group id <100, 4>)
Aut   = C2 x C2 x D50 (small group id <200, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^25 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102)(3, 103, 5, 105)(4, 104, 8, 108)(6, 106, 10, 110)(7, 107, 11, 111)(9, 109, 13, 113)(12, 112, 16, 116)(14, 114, 18, 118)(15, 115, 19, 119)(17, 117, 21, 121)(20, 120, 24, 124)(22, 122, 26, 126)(23, 123, 27, 127)(25, 125, 29, 129)(28, 128, 32, 132)(30, 130, 55, 155)(31, 131, 54, 154)(33, 133, 63, 163)(34, 134, 66, 166)(35, 135, 69, 169)(36, 136, 72, 172)(37, 137, 74, 174)(38, 138, 77, 177)(39, 139, 79, 179)(40, 140, 64, 164)(41, 141, 83, 183)(42, 142, 67, 167)(43, 143, 70, 170)(44, 144, 89, 189)(45, 145, 75, 175)(46, 146, 93, 193)(47, 147, 95, 195)(48, 148, 81, 181)(49, 149, 61, 161)(50, 150, 85, 185)(51, 151, 87, 187)(52, 152, 59, 159)(53, 153, 91, 191)(56, 156, 92, 192)(57, 157, 88, 188)(58, 158, 86, 186)(60, 160, 82, 182)(62, 162, 76, 176)(65, 165, 98, 198)(68, 168, 99, 199)(71, 171, 100, 200)(73, 173, 94, 194)(78, 178, 90, 190)(80, 180, 97, 197)(84, 184, 96, 196)(201, 301, 203, 303)(202, 302, 205, 305)(204, 304, 207, 307)(206, 306, 209, 309)(208, 308, 211, 311)(210, 310, 213, 313)(212, 312, 215, 315)(214, 314, 217, 317)(216, 316, 219, 319)(218, 318, 221, 321)(220, 320, 223, 323)(222, 322, 225, 325)(224, 324, 227, 327)(226, 326, 229, 329)(228, 328, 231, 331)(230, 330, 259, 359)(232, 332, 254, 354)(233, 333, 235, 335)(234, 334, 237, 337)(236, 336, 239, 339)(238, 338, 241, 341)(240, 340, 243, 343)(242, 342, 245, 345)(244, 344, 247, 347)(246, 346, 249, 349)(248, 348, 251, 351)(250, 350, 253, 353)(252, 352, 255, 355)(256, 356, 258, 358)(257, 357, 260, 360)(261, 361, 293, 393)(262, 362, 299, 399)(263, 363, 269, 369)(264, 364, 270, 370)(265, 365, 271, 371)(266, 366, 274, 374)(267, 367, 275, 375)(268, 368, 276, 376)(272, 372, 279, 379)(273, 373, 280, 380)(277, 377, 283, 383)(278, 378, 284, 384)(281, 381, 287, 387)(282, 382, 288, 388)(285, 385, 291, 391)(286, 386, 292, 392)(289, 389, 295, 395)(290, 390, 296, 396)(294, 394, 297, 397)(298, 398, 300, 400)
	L = (1, 204)(2, 206)(3, 207)(4, 201)(5, 209)(6, 202)(7, 203)(8, 212)(9, 205)(10, 214)(11, 215)(12, 208)(13, 217)(14, 210)(15, 211)(16, 220)(17, 213)(18, 222)(19, 223)(20, 216)(21, 225)(22, 218)(23, 219)(24, 228)(25, 221)(26, 230)(27, 231)(28, 224)(29, 259)(30, 226)(31, 227)(32, 261)(33, 264)(34, 267)(35, 270)(36, 266)(37, 275)(38, 263)(39, 274)(40, 281)(41, 269)(42, 285)(43, 287)(44, 272)(45, 291)(46, 277)(47, 279)(48, 292)(49, 283)(50, 288)(51, 286)(52, 289)(53, 282)(54, 293)(55, 295)(56, 276)(57, 271)(58, 268)(59, 229)(60, 265)(61, 232)(62, 280)(63, 238)(64, 233)(65, 260)(66, 236)(67, 234)(68, 258)(69, 241)(70, 235)(71, 257)(72, 244)(73, 299)(74, 239)(75, 237)(76, 256)(77, 246)(78, 298)(79, 247)(80, 262)(81, 240)(82, 253)(83, 249)(84, 300)(85, 242)(86, 251)(87, 243)(88, 250)(89, 252)(90, 294)(91, 245)(92, 248)(93, 254)(94, 290)(95, 255)(96, 297)(97, 296)(98, 278)(99, 273)(100, 284)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1797
Graph:: simple bipartite
	v = 100 e = 200 f = 54
	degree seq :: [ 4^100 ]

E24.1797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 25})
Quotient :: dipole
Aut^+ = D100 (small group id <100, 4>)
Aut   = C2 x C2 x D50 (small group id <200, 13>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^25 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 13, 113, 21, 121, 29, 129, 37, 137, 45, 145, 53, 153, 61, 161, 69, 169, 77, 177, 85, 185, 92, 192, 84, 184, 76, 176, 68, 168, 60, 160, 52, 152, 44, 144, 36, 136, 28, 128, 20, 120, 12, 112, 5, 105)(3, 103, 9, 109, 17, 117, 25, 125, 33, 133, 41, 141, 49, 149, 57, 157, 65, 165, 73, 173, 81, 181, 89, 189, 96, 196, 93, 193, 86, 186, 78, 178, 70, 170, 62, 162, 54, 154, 46, 146, 38, 138, 30, 130, 22, 122, 14, 114, 7, 107)(4, 104, 11, 111, 19, 119, 27, 127, 35, 135, 43, 143, 51, 151, 59, 159, 67, 167, 75, 175, 83, 183, 91, 191, 98, 198, 94, 194, 87, 187, 79, 179, 71, 171, 63, 163, 55, 155, 47, 147, 39, 139, 31, 131, 23, 123, 15, 115, 8, 108)(10, 110, 16, 116, 24, 124, 32, 132, 40, 140, 48, 148, 56, 156, 64, 164, 72, 172, 80, 180, 88, 188, 95, 195, 99, 199, 100, 200, 97, 197, 90, 190, 82, 182, 74, 174, 66, 166, 58, 158, 50, 150, 42, 142, 34, 134, 26, 126, 18, 118)(201, 301, 203, 303)(202, 302, 207, 307)(204, 304, 210, 310)(205, 305, 209, 309)(206, 306, 214, 314)(208, 308, 216, 316)(211, 311, 218, 318)(212, 312, 217, 317)(213, 313, 222, 322)(215, 315, 224, 324)(219, 319, 226, 326)(220, 320, 225, 325)(221, 321, 230, 330)(223, 323, 232, 332)(227, 327, 234, 334)(228, 328, 233, 333)(229, 329, 238, 338)(231, 331, 240, 340)(235, 335, 242, 342)(236, 336, 241, 341)(237, 337, 246, 346)(239, 339, 248, 348)(243, 343, 250, 350)(244, 344, 249, 349)(245, 345, 254, 354)(247, 347, 256, 356)(251, 351, 258, 358)(252, 352, 257, 357)(253, 353, 262, 362)(255, 355, 264, 364)(259, 359, 266, 366)(260, 360, 265, 365)(261, 361, 270, 370)(263, 363, 272, 372)(267, 367, 274, 374)(268, 368, 273, 373)(269, 369, 278, 378)(271, 371, 280, 380)(275, 375, 282, 382)(276, 376, 281, 381)(277, 377, 286, 386)(279, 379, 288, 388)(283, 383, 290, 390)(284, 384, 289, 389)(285, 385, 293, 393)(287, 387, 295, 395)(291, 391, 297, 397)(292, 392, 296, 396)(294, 394, 299, 399)(298, 398, 300, 400)
	L = (1, 204)(2, 208)(3, 210)(4, 201)(5, 211)(6, 215)(7, 216)(8, 202)(9, 218)(10, 203)(11, 205)(12, 219)(13, 223)(14, 224)(15, 206)(16, 207)(17, 226)(18, 209)(19, 212)(20, 227)(21, 231)(22, 232)(23, 213)(24, 214)(25, 234)(26, 217)(27, 220)(28, 235)(29, 239)(30, 240)(31, 221)(32, 222)(33, 242)(34, 225)(35, 228)(36, 243)(37, 247)(38, 248)(39, 229)(40, 230)(41, 250)(42, 233)(43, 236)(44, 251)(45, 255)(46, 256)(47, 237)(48, 238)(49, 258)(50, 241)(51, 244)(52, 259)(53, 263)(54, 264)(55, 245)(56, 246)(57, 266)(58, 249)(59, 252)(60, 267)(61, 271)(62, 272)(63, 253)(64, 254)(65, 274)(66, 257)(67, 260)(68, 275)(69, 279)(70, 280)(71, 261)(72, 262)(73, 282)(74, 265)(75, 268)(76, 283)(77, 287)(78, 288)(79, 269)(80, 270)(81, 290)(82, 273)(83, 276)(84, 291)(85, 294)(86, 295)(87, 277)(88, 278)(89, 297)(90, 281)(91, 284)(92, 298)(93, 299)(94, 285)(95, 286)(96, 300)(97, 289)(98, 292)(99, 293)(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 ), ( 4^50 ) }
Outer automorphisms :: reflexible
Dual of E24.1796
Graph:: simple bipartite
	v = 54 e = 200 f = 100
	degree seq :: [ 4^50, 50^4 ]

E24.1798 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 25})
Quotient :: edge
Aut^+ = C25 : C4 (small group id <100, 1>)
Aut   = (C50 x C2) : C2 (small group id <200, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^4, T2^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 98, 97, 90, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 99, 100, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14)(101, 102, 106, 104)(103, 108, 113, 110)(105, 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, 169, 166)(160, 163, 170, 167)(165, 172, 177, 174)(168, 171, 178, 175)(173, 180, 185, 182)(176, 179, 186, 183)(181, 188, 193, 190)(184, 187, 194, 191)(189, 196, 199, 197)(192, 195, 200, 198)
	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 ), ( 8^25 ) }
Outer automorphisms :: reflexible
Dual of E24.1799
Transitivity :: ET+
Graph:: simple bipartite
	v = 29 e = 100 f = 25
	degree seq :: [ 4^25, 25^4 ]

E24.1799 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 25})
Quotient :: loop
Aut^+ = C25 : C4 (small group id <100, 1>)
Aut   = (C50 x C2) : C2 (small group id <200, 8>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^-2 * T1^-1, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^25 ]
Map:: non-degenerate
	R = (1, 101, 3, 103, 6, 106, 5, 105)(2, 102, 7, 107, 4, 104, 8, 108)(9, 109, 13, 113, 10, 110, 14, 114)(11, 111, 15, 115, 12, 112, 16, 116)(17, 117, 21, 121, 18, 118, 22, 122)(19, 119, 23, 123, 20, 120, 24, 124)(25, 125, 29, 129, 26, 126, 30, 130)(27, 127, 31, 131, 28, 128, 32, 132)(33, 133, 35, 135, 34, 134, 38, 138)(36, 136, 52, 152, 37, 137, 51, 151)(39, 139, 56, 156, 40, 140, 55, 155)(41, 141, 58, 158, 42, 142, 57, 157)(43, 143, 60, 160, 44, 144, 59, 159)(45, 145, 62, 162, 46, 146, 61, 161)(47, 147, 64, 164, 48, 148, 63, 163)(49, 149, 66, 166, 50, 150, 65, 165)(53, 153, 68, 168, 54, 154, 67, 167)(69, 169, 71, 171, 70, 170, 72, 172)(73, 173, 75, 175, 74, 174, 76, 176)(77, 177, 92, 192, 78, 178, 91, 191)(79, 179, 96, 196, 80, 180, 95, 195)(81, 181, 98, 198, 82, 182, 97, 197)(83, 183, 100, 200, 84, 184, 99, 199)(85, 185, 93, 193, 86, 186, 94, 194)(87, 187, 90, 190, 88, 188, 89, 189)
	L = (1, 102)(2, 106)(3, 109)(4, 101)(5, 110)(6, 104)(7, 111)(8, 112)(9, 105)(10, 103)(11, 108)(12, 107)(13, 117)(14, 118)(15, 119)(16, 120)(17, 114)(18, 113)(19, 116)(20, 115)(21, 125)(22, 126)(23, 127)(24, 128)(25, 122)(26, 121)(27, 124)(28, 123)(29, 133)(30, 134)(31, 151)(32, 152)(33, 130)(34, 129)(35, 155)(36, 157)(37, 158)(38, 156)(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, 132)(52, 131)(53, 173)(54, 174)(55, 138)(56, 135)(57, 137)(58, 136)(59, 140)(60, 139)(61, 142)(62, 141)(63, 144)(64, 143)(65, 146)(66, 145)(67, 148)(68, 147)(69, 150)(70, 149)(71, 191)(72, 192)(73, 154)(74, 153)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 194)(82, 193)(83, 189)(84, 190)(85, 188)(86, 187)(87, 185)(88, 186)(89, 184)(90, 183)(91, 172)(92, 171)(93, 181)(94, 182)(95, 176)(96, 175)(97, 178)(98, 177)(99, 180)(100, 179)
	local type(s) :: { ( 4, 25, 4, 25, 4, 25, 4, 25 ) }
Outer automorphisms :: reflexible
Dual of E24.1798
Transitivity :: ET+ VT+ AT
Graph::
	v = 25 e = 100 f = 29
	degree seq :: [ 8^25 ]

E24.1800 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 25})
Quotient :: dipole
Aut^+ = C25 : C4 (small group id <100, 1>)
Aut   = (C50 x C2) : C2 (small group id <200, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^25 ]
Map::
	R = (1, 101, 2, 102, 6, 106, 4, 104)(3, 103, 8, 108, 13, 113, 10, 110)(5, 105, 7, 107, 14, 114, 11, 111)(9, 109, 16, 116, 21, 121, 18, 118)(12, 112, 15, 115, 22, 122, 19, 119)(17, 117, 24, 124, 29, 129, 26, 126)(20, 120, 23, 123, 30, 130, 27, 127)(25, 125, 32, 132, 37, 137, 34, 134)(28, 128, 31, 131, 38, 138, 35, 135)(33, 133, 40, 140, 45, 145, 42, 142)(36, 136, 39, 139, 46, 146, 43, 143)(41, 141, 48, 148, 53, 153, 50, 150)(44, 144, 47, 147, 54, 154, 51, 151)(49, 149, 56, 156, 61, 161, 58, 158)(52, 152, 55, 155, 62, 162, 59, 159)(57, 157, 64, 164, 69, 169, 66, 166)(60, 160, 63, 163, 70, 170, 67, 167)(65, 165, 72, 172, 77, 177, 74, 174)(68, 168, 71, 171, 78, 178, 75, 175)(73, 173, 80, 180, 85, 185, 82, 182)(76, 176, 79, 179, 86, 186, 83, 183)(81, 181, 88, 188, 93, 193, 90, 190)(84, 184, 87, 187, 94, 194, 91, 191)(89, 189, 96, 196, 99, 199, 97, 197)(92, 192, 95, 195, 100, 200, 98, 198)(201, 301, 203, 303, 209, 309, 217, 317, 225, 325, 233, 333, 241, 341, 249, 349, 257, 357, 265, 365, 273, 373, 281, 381, 289, 389, 292, 392, 284, 384, 276, 376, 268, 368, 260, 360, 252, 352, 244, 344, 236, 336, 228, 328, 220, 320, 212, 312, 205, 305)(202, 302, 207, 307, 215, 315, 223, 323, 231, 331, 239, 339, 247, 347, 255, 355, 263, 363, 271, 371, 279, 379, 287, 387, 295, 395, 296, 396, 288, 388, 280, 380, 272, 372, 264, 364, 256, 356, 248, 348, 240, 340, 232, 332, 224, 324, 216, 316, 208, 308)(204, 304, 211, 311, 219, 319, 227, 327, 235, 335, 243, 343, 251, 351, 259, 359, 267, 367, 275, 375, 283, 383, 291, 391, 298, 398, 297, 397, 290, 390, 282, 382, 274, 374, 266, 366, 258, 358, 250, 350, 242, 342, 234, 334, 226, 326, 218, 318, 210, 310)(206, 306, 213, 313, 221, 321, 229, 329, 237, 337, 245, 345, 253, 353, 261, 361, 269, 369, 277, 377, 285, 385, 293, 393, 299, 399, 300, 400, 294, 394, 286, 386, 278, 378, 270, 370, 262, 362, 254, 354, 246, 346, 238, 338, 230, 330, 222, 322, 214, 314)
	L = (1, 203)(2, 207)(3, 209)(4, 211)(5, 201)(6, 213)(7, 215)(8, 202)(9, 217)(10, 204)(11, 219)(12, 205)(13, 221)(14, 206)(15, 223)(16, 208)(17, 225)(18, 210)(19, 227)(20, 212)(21, 229)(22, 214)(23, 231)(24, 216)(25, 233)(26, 218)(27, 235)(28, 220)(29, 237)(30, 222)(31, 239)(32, 224)(33, 241)(34, 226)(35, 243)(36, 228)(37, 245)(38, 230)(39, 247)(40, 232)(41, 249)(42, 234)(43, 251)(44, 236)(45, 253)(46, 238)(47, 255)(48, 240)(49, 257)(50, 242)(51, 259)(52, 244)(53, 261)(54, 246)(55, 263)(56, 248)(57, 265)(58, 250)(59, 267)(60, 252)(61, 269)(62, 254)(63, 271)(64, 256)(65, 273)(66, 258)(67, 275)(68, 260)(69, 277)(70, 262)(71, 279)(72, 264)(73, 281)(74, 266)(75, 283)(76, 268)(77, 285)(78, 270)(79, 287)(80, 272)(81, 289)(82, 274)(83, 291)(84, 276)(85, 293)(86, 278)(87, 295)(88, 280)(89, 292)(90, 282)(91, 298)(92, 284)(93, 299)(94, 286)(95, 296)(96, 288)(97, 290)(98, 297)(99, 300)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E24.1801
Graph:: bipartite
	v = 29 e = 200 f = 125
	degree seq :: [ 8^25, 50^4 ]

E24.1801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 25})
Quotient :: dipole
Aut^+ = C25 : C4 (small group id <100, 1>)
Aut   = (C50 x C2) : C2 (small group id <200, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)(201, 301, 202, 302, 206, 306, 204, 304)(203, 303, 208, 308, 213, 313, 210, 310)(205, 305, 207, 307, 214, 314, 211, 311)(209, 309, 216, 316, 221, 321, 218, 318)(212, 312, 215, 315, 222, 322, 219, 319)(217, 317, 224, 324, 229, 329, 226, 326)(220, 320, 223, 323, 230, 330, 227, 327)(225, 325, 232, 332, 237, 337, 234, 334)(228, 328, 231, 331, 238, 338, 235, 335)(233, 333, 240, 340, 245, 345, 242, 342)(236, 336, 239, 339, 246, 346, 243, 343)(241, 341, 248, 348, 253, 353, 250, 350)(244, 344, 247, 347, 254, 354, 251, 351)(249, 349, 256, 356, 261, 361, 258, 358)(252, 352, 255, 355, 262, 362, 259, 359)(257, 357, 264, 364, 269, 369, 266, 366)(260, 360, 263, 363, 270, 370, 267, 367)(265, 365, 272, 372, 277, 377, 274, 374)(268, 368, 271, 371, 278, 378, 275, 375)(273, 373, 280, 380, 285, 385, 282, 382)(276, 376, 279, 379, 286, 386, 283, 383)(281, 381, 288, 388, 293, 393, 290, 390)(284, 384, 287, 387, 294, 394, 291, 391)(289, 389, 296, 396, 299, 399, 297, 397)(292, 392, 295, 395, 300, 400, 298, 398)
	L = (1, 203)(2, 207)(3, 209)(4, 211)(5, 201)(6, 213)(7, 215)(8, 202)(9, 217)(10, 204)(11, 219)(12, 205)(13, 221)(14, 206)(15, 223)(16, 208)(17, 225)(18, 210)(19, 227)(20, 212)(21, 229)(22, 214)(23, 231)(24, 216)(25, 233)(26, 218)(27, 235)(28, 220)(29, 237)(30, 222)(31, 239)(32, 224)(33, 241)(34, 226)(35, 243)(36, 228)(37, 245)(38, 230)(39, 247)(40, 232)(41, 249)(42, 234)(43, 251)(44, 236)(45, 253)(46, 238)(47, 255)(48, 240)(49, 257)(50, 242)(51, 259)(52, 244)(53, 261)(54, 246)(55, 263)(56, 248)(57, 265)(58, 250)(59, 267)(60, 252)(61, 269)(62, 254)(63, 271)(64, 256)(65, 273)(66, 258)(67, 275)(68, 260)(69, 277)(70, 262)(71, 279)(72, 264)(73, 281)(74, 266)(75, 283)(76, 268)(77, 285)(78, 270)(79, 287)(80, 272)(81, 289)(82, 274)(83, 291)(84, 276)(85, 293)(86, 278)(87, 295)(88, 280)(89, 292)(90, 282)(91, 298)(92, 284)(93, 299)(94, 286)(95, 296)(96, 288)(97, 290)(98, 297)(99, 300)(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) :: { ( 8, 50 ), ( 8, 50, 8, 50, 8, 50, 8, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1800
Graph:: simple bipartite
	v = 125 e = 200 f = 29
	degree seq :: [ 2^100, 8^25 ]

E24.1802 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 25})
Quotient :: edge
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C25 : C4 (small group id <100, 3>)
|r| :: 1
Presentation :: [ X1^4, (X1 * X2^-1 * X1)^2, (X2 * X1^-1)^4, X2^-1 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2^2 * X1 * X2^4 * X1^-1 * X2, X1 * X2^3 * X1^-1 * X2^-4, X2^25 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 18, 11)(5, 14, 17, 15)(7, 19, 13, 21)(8, 22, 12, 23)(10, 27, 42, 29)(16, 38, 41, 39)(20, 45, 33, 47)(24, 54, 32, 55)(25, 44, 31, 48)(26, 51, 30, 52)(28, 61, 82, 63)(34, 43, 37, 49)(35, 50, 36, 53)(40, 78, 81, 79)(46, 87, 69, 62)(56, 100, 68, 80)(57, 86, 67, 88)(58, 97, 66, 98)(59, 84, 65, 90)(60, 93, 64, 94)(70, 85, 73, 89)(71, 96, 72, 99)(74, 83, 77, 91)(75, 92, 76, 95)(101, 103, 110, 128, 162, 195, 153, 123, 152, 194, 189, 147, 188, 199, 155, 198, 191, 149, 121, 148, 190, 180, 140, 116, 105)(102, 107, 120, 146, 178, 158, 126, 109, 125, 157, 175, 138, 174, 160, 127, 159, 171, 135, 114, 134, 170, 161, 156, 124, 108)(104, 112, 132, 168, 163, 173, 137, 115, 136, 172, 165, 129, 164, 177, 139, 176, 167, 131, 111, 130, 166, 179, 169, 133, 113)(106, 117, 141, 181, 200, 184, 144, 119, 143, 183, 197, 154, 196, 186, 145, 185, 193, 151, 122, 150, 192, 187, 182, 142, 118)
	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 ), ( 8^25 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 29 e = 100 f = 25
	degree seq :: [ 4^25, 25^4 ]

E24.1803 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 25})
Quotient :: loop
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C25 : C4 (small group id <100, 3>)
|r| :: 1
Presentation :: [ (X1^-1 * X2)^2, X1^4, X2^4, X2 * X1 * X2^-2 * X1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-2, X2 * X1 * X2^2 * X1^-2 * X2^2 * X1 * X2 * X1^-1 * X2^-1 * X1^-2, (X2^-1 * X1^-1)^25 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 4, 104)(3, 103, 9, 109, 18, 118, 8, 108)(5, 105, 11, 111, 22, 122, 13, 113)(7, 107, 16, 116, 28, 128, 15, 115)(10, 110, 21, 121, 35, 135, 20, 120)(12, 112, 14, 114, 26, 126, 24, 124)(17, 117, 31, 131, 48, 148, 30, 130)(19, 119, 33, 133, 50, 150, 32, 132)(23, 123, 39, 139, 58, 158, 38, 138)(25, 125, 37, 137, 56, 156, 41, 141)(27, 127, 44, 144, 64, 164, 43, 143)(29, 129, 46, 146, 66, 166, 45, 145)(34, 134, 53, 153, 75, 175, 52, 152)(36, 136, 55, 155, 77, 177, 54, 154)(40, 140, 42, 142, 62, 162, 60, 160)(47, 147, 69, 169, 94, 194, 68, 168)(49, 149, 71, 171, 96, 196, 70, 170)(51, 151, 73, 173, 98, 198, 72, 172)(57, 157, 81, 181, 95, 195, 80, 180)(59, 159, 83, 183, 93, 193, 82, 182)(61, 161, 79, 179, 97, 197, 85, 185)(63, 163, 88, 188, 76, 176, 87, 187)(65, 165, 90, 190, 74, 174, 89, 189)(67, 167, 92, 192, 100, 200, 91, 191)(78, 178, 99, 199, 84, 184, 86, 186)
	L = (1, 103)(2, 107)(3, 110)(4, 111)(5, 101)(6, 114)(7, 117)(8, 102)(9, 119)(10, 105)(11, 123)(12, 104)(13, 121)(14, 127)(15, 106)(16, 129)(17, 108)(18, 131)(19, 134)(20, 109)(21, 136)(22, 137)(23, 112)(24, 139)(25, 113)(26, 142)(27, 115)(28, 144)(29, 147)(30, 116)(31, 149)(32, 118)(33, 151)(34, 120)(35, 153)(36, 125)(37, 157)(38, 122)(39, 159)(40, 124)(41, 155)(42, 163)(43, 126)(44, 165)(45, 128)(46, 167)(47, 130)(48, 169)(49, 132)(50, 171)(51, 174)(52, 133)(53, 176)(54, 135)(55, 178)(56, 179)(57, 138)(58, 181)(59, 140)(60, 183)(61, 141)(62, 186)(63, 143)(64, 188)(65, 145)(66, 190)(67, 193)(68, 146)(69, 195)(70, 148)(71, 197)(72, 150)(73, 191)(74, 152)(75, 189)(76, 154)(77, 187)(78, 161)(79, 196)(80, 156)(81, 194)(82, 158)(83, 192)(84, 160)(85, 199)(86, 177)(87, 162)(88, 175)(89, 164)(90, 173)(91, 166)(92, 184)(93, 168)(94, 182)(95, 170)(96, 180)(97, 172)(98, 185)(99, 200)(100, 198)
	local type(s) :: { ( 4, 25, 4, 25, 4, 25, 4, 25 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 25 e = 100 f = 29
	degree seq :: [ 8^25 ]

E24.1804 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 25})
Quotient :: loop
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ F^2, F * T2 * F * T1, T1^4, T2^4, (T2 * T1^-1)^2, T2 * T1 * T2^2 * T1^-2 * T2^2 * T1 * T2 * T1^-1 * T2^-1 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1^-2, (T2^-1 * T1^-1)^25 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 17, 8)(4, 11, 23, 12)(6, 14, 27, 15)(9, 19, 34, 20)(13, 21, 36, 25)(16, 29, 47, 30)(18, 31, 49, 32)(22, 37, 57, 38)(24, 39, 59, 40)(26, 42, 63, 43)(28, 44, 65, 45)(33, 51, 74, 52)(35, 53, 76, 54)(41, 55, 78, 61)(46, 67, 93, 68)(48, 69, 95, 70)(50, 71, 97, 72)(56, 79, 96, 80)(58, 81, 94, 82)(60, 83, 92, 84)(62, 86, 77, 87)(64, 88, 75, 89)(66, 90, 73, 91)(85, 99, 100, 98)(101, 102, 106, 104)(103, 109, 118, 108)(105, 111, 122, 113)(107, 116, 128, 115)(110, 121, 135, 120)(112, 114, 126, 124)(117, 131, 148, 130)(119, 133, 150, 132)(123, 139, 158, 138)(125, 137, 156, 141)(127, 144, 164, 143)(129, 146, 166, 145)(134, 153, 175, 152)(136, 155, 177, 154)(140, 142, 162, 160)(147, 169, 194, 168)(149, 171, 196, 170)(151, 173, 198, 172)(157, 181, 195, 180)(159, 183, 193, 182)(161, 179, 197, 185)(163, 188, 176, 187)(165, 190, 174, 189)(167, 192, 200, 191)(178, 199, 184, 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) :: { ( 50^4 ) }
Outer automorphisms :: reflexible
Dual of E24.1805
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 50 e = 100 f = 4
	degree seq :: [ 4^50 ]

E24.1805 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 25})
Quotient :: edge
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1^-1 * T2 * T1^-1)^2, (T2 * T1^-1)^4, (T2^-1 * T1 * F * T1^-1)^2, (T2^-1 * T1^-1)^4, T1 * T2^3 * T1^-1 * T2^-4, T2^2 * T1^-1 * T2^3 * T1 * T2^2, T2^25 ]
Map:: polytopal non-degenerate
	R = (1, 101, 3, 103, 10, 110, 28, 128, 62, 162, 95, 195, 53, 153, 23, 123, 52, 152, 94, 194, 89, 189, 47, 147, 88, 188, 99, 199, 55, 155, 98, 198, 91, 191, 49, 149, 21, 121, 48, 148, 90, 190, 80, 180, 40, 140, 16, 116, 5, 105)(2, 102, 7, 107, 20, 120, 46, 146, 78, 178, 58, 158, 26, 126, 9, 109, 25, 125, 57, 157, 75, 175, 38, 138, 74, 174, 60, 160, 27, 127, 59, 159, 71, 171, 35, 135, 14, 114, 34, 134, 70, 170, 61, 161, 56, 156, 24, 124, 8, 108)(4, 104, 12, 112, 32, 132, 68, 168, 63, 163, 73, 173, 37, 137, 15, 115, 36, 136, 72, 172, 65, 165, 29, 129, 64, 164, 77, 177, 39, 139, 76, 176, 67, 167, 31, 131, 11, 111, 30, 130, 66, 166, 79, 179, 69, 169, 33, 133, 13, 113)(6, 106, 17, 117, 41, 141, 81, 181, 100, 200, 84, 184, 44, 144, 19, 119, 43, 143, 83, 183, 97, 197, 54, 154, 96, 196, 86, 186, 45, 145, 85, 185, 93, 193, 51, 151, 22, 122, 50, 150, 92, 192, 87, 187, 82, 182, 42, 142, 18, 118)
	L = (1, 102)(2, 106)(3, 109)(4, 101)(5, 114)(6, 104)(7, 119)(8, 122)(9, 118)(10, 127)(11, 103)(12, 123)(13, 121)(14, 117)(15, 105)(16, 138)(17, 115)(18, 111)(19, 113)(20, 145)(21, 107)(22, 112)(23, 108)(24, 154)(25, 144)(26, 151)(27, 142)(28, 161)(29, 110)(30, 152)(31, 148)(32, 155)(33, 147)(34, 143)(35, 150)(36, 153)(37, 149)(38, 141)(39, 116)(40, 178)(41, 139)(42, 129)(43, 137)(44, 131)(45, 133)(46, 187)(47, 120)(48, 125)(49, 134)(50, 136)(51, 130)(52, 126)(53, 135)(54, 132)(55, 124)(56, 200)(57, 186)(58, 197)(59, 184)(60, 193)(61, 182)(62, 146)(63, 128)(64, 194)(65, 190)(66, 198)(67, 188)(68, 180)(69, 162)(70, 185)(71, 196)(72, 199)(73, 189)(74, 183)(75, 192)(76, 195)(77, 191)(78, 181)(79, 140)(80, 156)(81, 179)(82, 163)(83, 177)(84, 165)(85, 173)(86, 167)(87, 169)(88, 157)(89, 170)(90, 159)(91, 174)(92, 176)(93, 164)(94, 160)(95, 175)(96, 172)(97, 166)(98, 158)(99, 171)(100, 168)
	local type(s) :: { ( 4^50 ) }
Outer automorphisms :: reflexible
Dual of E24.1804
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 100 f = 50
	degree seq :: [ 50^4 ]

E24.1806 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 25})
Quotient :: edge^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, Y2^4, Y1^4, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^4, Y1^4, R * Y1 * R * Y2, (Y1 * Y3^-1)^4, Y3^2 * Y2^-1 * Y3^4 * Y1^-1, Y1^-1 * Y3^3 * Y2^-1 * Y3^-3, Y2 * Y3^-17 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 101, 4, 104, 16, 116, 43, 143, 80, 180, 72, 172, 34, 134, 21, 121, 48, 148, 89, 189, 66, 166, 38, 138, 78, 178, 74, 174, 53, 153, 93, 193, 65, 165, 29, 129, 12, 112, 36, 136, 76, 176, 97, 197, 63, 163, 27, 127, 7, 107)(2, 102, 9, 109, 30, 130, 67, 167, 99, 199, 55, 155, 23, 123, 6, 106, 22, 122, 54, 154, 98, 198, 60, 160, 95, 195, 50, 150, 18, 118, 49, 149, 94, 194, 57, 157, 24, 124, 56, 156, 90, 190, 45, 145, 75, 175, 35, 135, 11, 111)(3, 103, 5, 105, 20, 120, 52, 152, 85, 185, 86, 186, 58, 158, 25, 125, 26, 126, 59, 159, 84, 184, 42, 142, 44, 144, 88, 188, 61, 161, 62, 162, 83, 183, 41, 141, 15, 115, 17, 117, 47, 147, 92, 192, 82, 182, 40, 140, 14, 114)(8, 108, 28, 128, 64, 164, 100, 200, 77, 177, 37, 137, 13, 113, 10, 110, 32, 132, 70, 170, 96, 196, 73, 173, 79, 179, 39, 139, 31, 131, 69, 169, 91, 191, 51, 151, 33, 133, 71, 171, 81, 181, 68, 168, 87, 187, 46, 146, 19, 119)(201, 202, 208, 205)(203, 212, 209, 210)(204, 206, 219, 217)(207, 224, 228, 226)(211, 233, 220, 221)(213, 215, 236, 222)(214, 238, 230, 231)(216, 218, 246, 244)(223, 251, 247, 248)(225, 229, 256, 232)(227, 260, 264, 262)(234, 257, 271, 259)(235, 273, 252, 253)(237, 242, 276, 249)(239, 241, 278, 254)(240, 280, 267, 268)(243, 245, 287, 286)(250, 291, 288, 289)(255, 296, 292, 293)(258, 266, 290, 269)(261, 265, 295, 270)(263, 299, 300, 282)(272, 298, 281, 283)(274, 294, 279, 284)(275, 277, 285, 297)(301, 303, 313, 306)(302, 307, 325, 310)(304, 315, 337, 318)(305, 319, 323, 321)(308, 311, 334, 326)(309, 329, 358, 331)(312, 314, 339, 322)(316, 342, 377, 345)(317, 346, 350, 348)(320, 351, 355, 353)(324, 327, 361, 332)(328, 357, 372, 362)(330, 366, 386, 368)(333, 335, 374, 359)(336, 341, 379, 349)(338, 340, 381, 354)(343, 385, 400, 367)(344, 387, 390, 389)(347, 391, 395, 393)(352, 396, 399, 397)(356, 365, 388, 369)(360, 363, 392, 370)(364, 398, 380, 382)(371, 394, 378, 383)(373, 375, 376, 384)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4^4 ), ( 4^50 ) }
Outer automorphisms :: reflexible
Dual of E24.1809
Graph:: simple bipartite
	v = 54 e = 200 f = 100
	degree seq :: [ 4^50, 50^4 ]

E24.1807 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 25})
Quotient :: edge^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, (Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1^-2, Y2 * Y1 * Y2^2 * Y1^-2 * Y2^2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^25 ]
Map:: polytopal
	R = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)(201, 202, 206, 204)(203, 209, 218, 208)(205, 211, 222, 213)(207, 216, 228, 215)(210, 221, 235, 220)(212, 214, 226, 224)(217, 231, 248, 230)(219, 233, 250, 232)(223, 239, 258, 238)(225, 237, 256, 241)(227, 244, 264, 243)(229, 246, 266, 245)(234, 253, 275, 252)(236, 255, 277, 254)(240, 242, 262, 260)(247, 269, 294, 268)(249, 271, 296, 270)(251, 273, 298, 272)(257, 281, 295, 280)(259, 283, 293, 282)(261, 279, 297, 285)(263, 288, 276, 287)(265, 290, 274, 289)(267, 292, 300, 291)(278, 299, 284, 286)(301, 303, 310, 305)(302, 307, 317, 308)(304, 311, 323, 312)(306, 314, 327, 315)(309, 319, 334, 320)(313, 321, 336, 325)(316, 329, 347, 330)(318, 331, 349, 332)(322, 337, 357, 338)(324, 339, 359, 340)(326, 342, 363, 343)(328, 344, 365, 345)(333, 351, 374, 352)(335, 353, 376, 354)(341, 355, 378, 361)(346, 367, 393, 368)(348, 369, 395, 370)(350, 371, 397, 372)(356, 379, 396, 380)(358, 381, 394, 382)(360, 383, 392, 384)(362, 386, 377, 387)(364, 388, 375, 389)(366, 390, 373, 391)(385, 399, 400, 398)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 100, 100 ), ( 100^4 ) }
Outer automorphisms :: reflexible
Dual of E24.1808
Graph:: simple bipartite
	v = 150 e = 200 f = 4
	degree seq :: [ 2^100, 4^50 ]

E24.1808 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 25})
Quotient :: loop^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, Y2^4, Y1^4, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^4, Y1^4, R * Y1 * R * Y2, (Y1 * Y3^-1)^4, Y3^2 * Y2^-1 * Y3^4 * Y1^-1, Y1^-1 * Y3^3 * Y2^-1 * Y3^-3, Y2 * Y3^-17 * Y1 * Y3 ]
Map::
	R = (1, 101, 201, 301, 4, 104, 204, 304, 16, 116, 216, 316, 43, 143, 243, 343, 80, 180, 280, 380, 72, 172, 272, 372, 34, 134, 234, 334, 21, 121, 221, 321, 48, 148, 248, 348, 89, 189, 289, 389, 66, 166, 266, 366, 38, 138, 238, 338, 78, 178, 278, 378, 74, 174, 274, 374, 53, 153, 253, 353, 93, 193, 293, 393, 65, 165, 265, 365, 29, 129, 229, 329, 12, 112, 212, 312, 36, 136, 236, 336, 76, 176, 276, 376, 97, 197, 297, 397, 63, 163, 263, 363, 27, 127, 227, 327, 7, 107, 207, 307)(2, 102, 202, 302, 9, 109, 209, 309, 30, 130, 230, 330, 67, 167, 267, 367, 99, 199, 299, 399, 55, 155, 255, 355, 23, 123, 223, 323, 6, 106, 206, 306, 22, 122, 222, 322, 54, 154, 254, 354, 98, 198, 298, 398, 60, 160, 260, 360, 95, 195, 295, 395, 50, 150, 250, 350, 18, 118, 218, 318, 49, 149, 249, 349, 94, 194, 294, 394, 57, 157, 257, 357, 24, 124, 224, 324, 56, 156, 256, 356, 90, 190, 290, 390, 45, 145, 245, 345, 75, 175, 275, 375, 35, 135, 235, 335, 11, 111, 211, 311)(3, 103, 203, 303, 5, 105, 205, 305, 20, 120, 220, 320, 52, 152, 252, 352, 85, 185, 285, 385, 86, 186, 286, 386, 58, 158, 258, 358, 25, 125, 225, 325, 26, 126, 226, 326, 59, 159, 259, 359, 84, 184, 284, 384, 42, 142, 242, 342, 44, 144, 244, 344, 88, 188, 288, 388, 61, 161, 261, 361, 62, 162, 262, 362, 83, 183, 283, 383, 41, 141, 241, 341, 15, 115, 215, 315, 17, 117, 217, 317, 47, 147, 247, 347, 92, 192, 292, 392, 82, 182, 282, 382, 40, 140, 240, 340, 14, 114, 214, 314)(8, 108, 208, 308, 28, 128, 228, 328, 64, 164, 264, 364, 100, 200, 300, 400, 77, 177, 277, 377, 37, 137, 237, 337, 13, 113, 213, 313, 10, 110, 210, 310, 32, 132, 232, 332, 70, 170, 270, 370, 96, 196, 296, 396, 73, 173, 273, 373, 79, 179, 279, 379, 39, 139, 239, 339, 31, 131, 231, 331, 69, 169, 269, 369, 91, 191, 291, 391, 51, 151, 251, 351, 33, 133, 233, 333, 71, 171, 271, 371, 81, 181, 281, 381, 68, 168, 268, 368, 87, 187, 287, 387, 46, 146, 246, 346, 19, 119, 219, 319)
	L = (1, 102)(2, 108)(3, 112)(4, 106)(5, 101)(6, 119)(7, 124)(8, 105)(9, 110)(10, 103)(11, 133)(12, 109)(13, 115)(14, 138)(15, 136)(16, 118)(17, 104)(18, 146)(19, 117)(20, 121)(21, 111)(22, 113)(23, 151)(24, 128)(25, 129)(26, 107)(27, 160)(28, 126)(29, 156)(30, 131)(31, 114)(32, 125)(33, 120)(34, 157)(35, 173)(36, 122)(37, 142)(38, 130)(39, 141)(40, 180)(41, 178)(42, 176)(43, 145)(44, 116)(45, 187)(46, 144)(47, 148)(48, 123)(49, 137)(50, 191)(51, 147)(52, 153)(53, 135)(54, 139)(55, 196)(56, 132)(57, 171)(58, 166)(59, 134)(60, 164)(61, 165)(62, 127)(63, 199)(64, 162)(65, 195)(66, 190)(67, 168)(68, 140)(69, 158)(70, 161)(71, 159)(72, 198)(73, 152)(74, 194)(75, 177)(76, 149)(77, 185)(78, 154)(79, 184)(80, 167)(81, 183)(82, 163)(83, 172)(84, 174)(85, 197)(86, 143)(87, 186)(88, 189)(89, 150)(90, 169)(91, 188)(92, 193)(93, 155)(94, 179)(95, 170)(96, 192)(97, 175)(98, 181)(99, 200)(100, 182)(201, 303)(202, 307)(203, 313)(204, 315)(205, 319)(206, 301)(207, 325)(208, 311)(209, 329)(210, 302)(211, 334)(212, 314)(213, 306)(214, 339)(215, 337)(216, 342)(217, 346)(218, 304)(219, 323)(220, 351)(221, 305)(222, 312)(223, 321)(224, 327)(225, 310)(226, 308)(227, 361)(228, 357)(229, 358)(230, 366)(231, 309)(232, 324)(233, 335)(234, 326)(235, 374)(236, 341)(237, 318)(238, 340)(239, 322)(240, 381)(241, 379)(242, 377)(243, 385)(244, 387)(245, 316)(246, 350)(247, 391)(248, 317)(249, 336)(250, 348)(251, 355)(252, 396)(253, 320)(254, 338)(255, 353)(256, 365)(257, 372)(258, 331)(259, 333)(260, 363)(261, 332)(262, 328)(263, 392)(264, 398)(265, 388)(266, 386)(267, 343)(268, 330)(269, 356)(270, 360)(271, 394)(272, 362)(273, 375)(274, 359)(275, 376)(276, 384)(277, 345)(278, 383)(279, 349)(280, 382)(281, 354)(282, 364)(283, 371)(284, 373)(285, 400)(286, 368)(287, 390)(288, 369)(289, 344)(290, 389)(291, 395)(292, 370)(293, 347)(294, 378)(295, 393)(296, 399)(297, 352)(298, 380)(299, 397)(300, 367)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.1807
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 200 f = 150
	degree seq :: [ 100^4 ]

E24.1809 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 25})
Quotient :: loop^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, (Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1^-2, Y2 * Y1 * Y2^2 * Y1^-2 * Y2^2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^25 ]
Map:: polytopal non-degenerate
	R = (1, 101, 201, 301)(2, 102, 202, 302)(3, 103, 203, 303)(4, 104, 204, 304)(5, 105, 205, 305)(6, 106, 206, 306)(7, 107, 207, 307)(8, 108, 208, 308)(9, 109, 209, 309)(10, 110, 210, 310)(11, 111, 211, 311)(12, 112, 212, 312)(13, 113, 213, 313)(14, 114, 214, 314)(15, 115, 215, 315)(16, 116, 216, 316)(17, 117, 217, 317)(18, 118, 218, 318)(19, 119, 219, 319)(20, 120, 220, 320)(21, 121, 221, 321)(22, 122, 222, 322)(23, 123, 223, 323)(24, 124, 224, 324)(25, 125, 225, 325)(26, 126, 226, 326)(27, 127, 227, 327)(28, 128, 228, 328)(29, 129, 229, 329)(30, 130, 230, 330)(31, 131, 231, 331)(32, 132, 232, 332)(33, 133, 233, 333)(34, 134, 234, 334)(35, 135, 235, 335)(36, 136, 236, 336)(37, 137, 237, 337)(38, 138, 238, 338)(39, 139, 239, 339)(40, 140, 240, 340)(41, 141, 241, 341)(42, 142, 242, 342)(43, 143, 243, 343)(44, 144, 244, 344)(45, 145, 245, 345)(46, 146, 246, 346)(47, 147, 247, 347)(48, 148, 248, 348)(49, 149, 249, 349)(50, 150, 250, 350)(51, 151, 251, 351)(52, 152, 252, 352)(53, 153, 253, 353)(54, 154, 254, 354)(55, 155, 255, 355)(56, 156, 256, 356)(57, 157, 257, 357)(58, 158, 258, 358)(59, 159, 259, 359)(60, 160, 260, 360)(61, 161, 261, 361)(62, 162, 262, 362)(63, 163, 263, 363)(64, 164, 264, 364)(65, 165, 265, 365)(66, 166, 266, 366)(67, 167, 267, 367)(68, 168, 268, 368)(69, 169, 269, 369)(70, 170, 270, 370)(71, 171, 271, 371)(72, 172, 272, 372)(73, 173, 273, 373)(74, 174, 274, 374)(75, 175, 275, 375)(76, 176, 276, 376)(77, 177, 277, 377)(78, 178, 278, 378)(79, 179, 279, 379)(80, 180, 280, 380)(81, 181, 281, 381)(82, 182, 282, 382)(83, 183, 283, 383)(84, 184, 284, 384)(85, 185, 285, 385)(86, 186, 286, 386)(87, 187, 287, 387)(88, 188, 288, 388)(89, 189, 289, 389)(90, 190, 290, 390)(91, 191, 291, 391)(92, 192, 292, 392)(93, 193, 293, 393)(94, 194, 294, 394)(95, 195, 295, 395)(96, 196, 296, 396)(97, 197, 297, 397)(98, 198, 298, 398)(99, 199, 299, 399)(100, 200, 300, 400)
	L = (1, 102)(2, 106)(3, 109)(4, 101)(5, 111)(6, 104)(7, 116)(8, 103)(9, 118)(10, 121)(11, 122)(12, 114)(13, 105)(14, 126)(15, 107)(16, 128)(17, 131)(18, 108)(19, 133)(20, 110)(21, 135)(22, 113)(23, 139)(24, 112)(25, 137)(26, 124)(27, 144)(28, 115)(29, 146)(30, 117)(31, 148)(32, 119)(33, 150)(34, 153)(35, 120)(36, 155)(37, 156)(38, 123)(39, 158)(40, 142)(41, 125)(42, 162)(43, 127)(44, 164)(45, 129)(46, 166)(47, 169)(48, 130)(49, 171)(50, 132)(51, 173)(52, 134)(53, 175)(54, 136)(55, 177)(56, 141)(57, 181)(58, 138)(59, 183)(60, 140)(61, 179)(62, 160)(63, 188)(64, 143)(65, 190)(66, 145)(67, 192)(68, 147)(69, 194)(70, 149)(71, 196)(72, 151)(73, 198)(74, 189)(75, 152)(76, 187)(77, 154)(78, 199)(79, 197)(80, 157)(81, 195)(82, 159)(83, 193)(84, 186)(85, 161)(86, 178)(87, 163)(88, 176)(89, 165)(90, 174)(91, 167)(92, 200)(93, 182)(94, 168)(95, 180)(96, 170)(97, 185)(98, 172)(99, 184)(100, 191)(201, 303)(202, 307)(203, 310)(204, 311)(205, 301)(206, 314)(207, 317)(208, 302)(209, 319)(210, 305)(211, 323)(212, 304)(213, 321)(214, 327)(215, 306)(216, 329)(217, 308)(218, 331)(219, 334)(220, 309)(221, 336)(222, 337)(223, 312)(224, 339)(225, 313)(226, 342)(227, 315)(228, 344)(229, 347)(230, 316)(231, 349)(232, 318)(233, 351)(234, 320)(235, 353)(236, 325)(237, 357)(238, 322)(239, 359)(240, 324)(241, 355)(242, 363)(243, 326)(244, 365)(245, 328)(246, 367)(247, 330)(248, 369)(249, 332)(250, 371)(251, 374)(252, 333)(253, 376)(254, 335)(255, 378)(256, 379)(257, 338)(258, 381)(259, 340)(260, 383)(261, 341)(262, 386)(263, 343)(264, 388)(265, 345)(266, 390)(267, 393)(268, 346)(269, 395)(270, 348)(271, 397)(272, 350)(273, 391)(274, 352)(275, 389)(276, 354)(277, 387)(278, 361)(279, 396)(280, 356)(281, 394)(282, 358)(283, 392)(284, 360)(285, 399)(286, 377)(287, 362)(288, 375)(289, 364)(290, 373)(291, 366)(292, 384)(293, 368)(294, 382)(295, 370)(296, 380)(297, 372)(298, 385)(299, 400)(300, 398)
	local type(s) :: { ( 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1806
Transitivity :: VT+
Graph:: simple bipartite
	v = 100 e = 200 f = 54
	degree seq :: [ 4^100 ]

E24.1810 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 50, 50})
Quotient :: regular
Aut^+ = C50 x C2 (small group id <100, 5>)
Aut   = C2 x C2 x D50 (small group id <200, 13>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^50 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 39, 35, 38, 42, 44, 46, 48, 50, 52, 61, 57, 54, 55, 58, 62, 64, 66, 68, 70, 72, 82, 78, 81, 75, 86, 88, 90, 92, 94, 100, 98, 97, 95, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 40, 36, 33, 34, 37, 41, 43, 45, 47, 49, 51, 60, 56, 59, 63, 65, 67, 69, 71, 73, 83, 79, 76, 77, 80, 84, 85, 87, 89, 91, 93, 99, 96, 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, 40)(32, 53)(33, 35)(34, 38)(36, 39)(37, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 61)(54, 56)(55, 59)(57, 60)(58, 63)(62, 65)(64, 67)(66, 69)(68, 71)(70, 73)(72, 83)(74, 95)(75, 80)(76, 78)(77, 81)(79, 82)(84, 86)(85, 88)(87, 90)(89, 92)(91, 94)(93, 100)(96, 97)(98, 99)
	local type(s) :: { ( 50^50 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 50 f = 2
	degree seq :: [ 50^2 ]

E24.1811 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 50, 50})
Quotient :: edge
Aut^+ = C50 x C2 (small group id <100, 5>)
Aut   = C2 x C2 x D50 (small group id <200, 13>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^50 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 38, 34, 37, 41, 43, 45, 47, 49, 51, 61, 57, 54, 56, 60, 63, 65, 67, 69, 71, 73, 81, 77, 80, 75, 85, 87, 89, 91, 93, 100, 98, 97, 95, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 35, 39, 42, 44, 46, 48, 50, 52, 59, 55, 58, 62, 64, 66, 68, 70, 72, 83, 79, 76, 78, 82, 84, 86, 88, 90, 92, 94, 99, 96, 74, 53, 30, 26, 22, 18, 14, 10, 6)(101, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 121)(120, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 140)(132, 153)(133, 134)(135, 137)(136, 138)(139, 141)(142, 143)(144, 145)(146, 147)(148, 149)(150, 151)(152, 161)(154, 155)(156, 158)(157, 159)(160, 162)(163, 164)(165, 166)(167, 168)(169, 170)(171, 172)(173, 183)(174, 195)(175, 182)(176, 177)(178, 180)(179, 181)(184, 185)(186, 187)(188, 189)(190, 191)(192, 193)(194, 200)(196, 197)(198, 199)
	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) :: { ( 100, 100 ), ( 100^50 ) }
Outer automorphisms :: reflexible
Dual of E24.1812
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 100 f = 2
	degree seq :: [ 2^50, 50^2 ]

E24.1812 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 50, 50})
Quotient :: loop
Aut^+ = C50 x C2 (small group id <100, 5>)
Aut   = C2 x C2 x D50 (small group id <200, 13>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^50 ]
Map::
	R = (1, 101, 3, 103, 7, 107, 11, 111, 15, 115, 19, 119, 23, 123, 27, 127, 31, 131, 36, 136, 33, 133, 35, 135, 39, 139, 42, 142, 44, 144, 46, 146, 48, 148, 50, 150, 52, 152, 57, 157, 54, 154, 56, 156, 60, 160, 63, 163, 65, 165, 67, 167, 69, 169, 71, 171, 73, 173, 79, 179, 76, 176, 78, 178, 82, 182, 84, 184, 86, 186, 88, 188, 90, 190, 92, 192, 94, 194, 98, 198, 97, 197, 95, 195, 32, 132, 28, 128, 24, 124, 20, 120, 16, 116, 12, 112, 8, 108, 4, 104)(2, 102, 5, 105, 9, 109, 13, 113, 17, 117, 21, 121, 25, 125, 29, 129, 41, 141, 38, 138, 34, 134, 37, 137, 40, 140, 43, 143, 45, 145, 47, 147, 49, 149, 51, 151, 62, 162, 59, 159, 55, 155, 58, 158, 61, 161, 64, 164, 66, 166, 68, 168, 70, 170, 72, 172, 83, 183, 81, 181, 77, 177, 80, 180, 75, 175, 85, 185, 87, 187, 89, 189, 91, 191, 93, 193, 100, 200, 99, 199, 96, 196, 74, 174, 53, 153, 30, 130, 26, 126, 22, 122, 18, 118, 14, 114, 10, 110, 6, 106)
	L = (1, 102)(2, 101)(3, 105)(4, 106)(5, 103)(6, 104)(7, 109)(8, 110)(9, 107)(10, 108)(11, 113)(12, 114)(13, 111)(14, 112)(15, 117)(16, 118)(17, 115)(18, 116)(19, 121)(20, 122)(21, 119)(22, 120)(23, 125)(24, 126)(25, 123)(26, 124)(27, 129)(28, 130)(29, 127)(30, 128)(31, 141)(32, 153)(33, 134)(34, 133)(35, 137)(36, 138)(37, 135)(38, 136)(39, 140)(40, 139)(41, 131)(42, 143)(43, 142)(44, 145)(45, 144)(46, 147)(47, 146)(48, 149)(49, 148)(50, 151)(51, 150)(52, 162)(53, 132)(54, 155)(55, 154)(56, 158)(57, 159)(58, 156)(59, 157)(60, 161)(61, 160)(62, 152)(63, 164)(64, 163)(65, 166)(66, 165)(67, 168)(68, 167)(69, 170)(70, 169)(71, 172)(72, 171)(73, 183)(74, 195)(75, 182)(76, 177)(77, 176)(78, 180)(79, 181)(80, 178)(81, 179)(82, 175)(83, 173)(84, 185)(85, 184)(86, 187)(87, 186)(88, 189)(89, 188)(90, 191)(91, 190)(92, 193)(93, 192)(94, 200)(95, 174)(96, 197)(97, 196)(98, 199)(99, 198)(100, 194)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.1811
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 100 f = 52
	degree seq :: [ 100^2 ]

E24.1813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 50, 50})
Quotient :: dipole
Aut^+ = C50 x C2 (small group id <100, 5>)
Aut   = C2 x C2 x D50 (small group id <200, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^50, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 101, 2, 102)(3, 103, 5, 105)(4, 104, 6, 106)(7, 107, 9, 109)(8, 108, 10, 110)(11, 111, 13, 113)(12, 112, 14, 114)(15, 115, 17, 117)(16, 116, 18, 118)(19, 119, 21, 121)(20, 120, 22, 122)(23, 123, 25, 125)(24, 124, 26, 126)(27, 127, 29, 129)(28, 128, 30, 130)(31, 131, 33, 133)(32, 132, 49, 149)(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, 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, 68, 168)(66, 166, 84, 184)(67, 167, 87, 187)(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, 89, 189)(85, 185, 100, 200)(86, 186, 90, 190)(88, 188, 91, 191)(92, 192, 93, 193)(94, 194, 95, 195)(96, 196, 97, 197)(98, 198, 99, 199)(201, 301, 203, 303, 207, 307, 211, 311, 215, 315, 219, 319, 223, 323, 227, 327, 231, 331, 235, 335, 237, 337, 239, 339, 241, 341, 243, 343, 245, 345, 247, 347, 250, 350, 251, 351, 253, 353, 255, 355, 257, 357, 259, 359, 261, 361, 263, 363, 265, 365, 270, 370, 272, 372, 274, 374, 276, 376, 278, 378, 280, 380, 282, 382, 289, 389, 286, 386, 267, 367, 288, 388, 292, 392, 294, 394, 296, 396, 298, 398, 300, 400, 284, 384, 232, 332, 228, 328, 224, 324, 220, 320, 216, 316, 212, 312, 208, 308, 204, 304)(202, 302, 205, 305, 209, 309, 213, 313, 217, 317, 221, 321, 225, 325, 229, 329, 233, 333, 234, 334, 236, 336, 238, 338, 240, 340, 242, 342, 244, 344, 246, 346, 248, 348, 252, 352, 254, 354, 256, 356, 258, 358, 260, 360, 262, 362, 264, 364, 268, 368, 269, 369, 271, 371, 273, 373, 275, 375, 277, 377, 279, 379, 281, 381, 283, 383, 290, 390, 287, 387, 291, 391, 293, 393, 295, 395, 297, 397, 299, 399, 285, 385, 266, 366, 249, 349, 230, 330, 226, 326, 222, 322, 218, 318, 214, 314, 210, 310, 206, 306)
	L = (1, 202)(2, 201)(3, 205)(4, 206)(5, 203)(6, 204)(7, 209)(8, 210)(9, 207)(10, 208)(11, 213)(12, 214)(13, 211)(14, 212)(15, 217)(16, 218)(17, 215)(18, 216)(19, 221)(20, 222)(21, 219)(22, 220)(23, 225)(24, 226)(25, 223)(26, 224)(27, 229)(28, 230)(29, 227)(30, 228)(31, 233)(32, 249)(33, 231)(34, 235)(35, 234)(36, 237)(37, 236)(38, 239)(39, 238)(40, 241)(41, 240)(42, 243)(43, 242)(44, 245)(45, 244)(46, 247)(47, 246)(48, 250)(49, 232)(50, 248)(51, 252)(52, 251)(53, 254)(54, 253)(55, 256)(56, 255)(57, 258)(58, 257)(59, 260)(60, 259)(61, 262)(62, 261)(63, 264)(64, 263)(65, 268)(66, 284)(67, 287)(68, 265)(69, 270)(70, 269)(71, 272)(72, 271)(73, 274)(74, 273)(75, 276)(76, 275)(77, 278)(78, 277)(79, 280)(80, 279)(81, 282)(82, 281)(83, 289)(84, 266)(85, 300)(86, 290)(87, 267)(88, 291)(89, 283)(90, 286)(91, 288)(92, 293)(93, 292)(94, 295)(95, 294)(96, 297)(97, 296)(98, 299)(99, 298)(100, 285)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1814
Graph:: bipartite
	v = 52 e = 200 f = 102
	degree seq :: [ 4^50, 100^2 ]

E24.1814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 50, 50})
Quotient :: dipole
Aut^+ = C50 x C2 (small group id <100, 5>)
Aut   = C2 x C2 x D50 (small group id <200, 13>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-50, Y1^50 ]
Map::
	R = (1, 101, 2, 102, 5, 105, 9, 109, 13, 113, 17, 117, 21, 121, 25, 125, 29, 129, 40, 140, 36, 136, 33, 133, 34, 134, 37, 137, 41, 141, 44, 144, 47, 147, 49, 149, 51, 151, 53, 153, 63, 163, 59, 159, 56, 156, 57, 157, 60, 160, 64, 164, 67, 167, 70, 170, 72, 172, 74, 174, 76, 176, 87, 187, 83, 183, 80, 180, 81, 181, 84, 184, 88, 188, 90, 190, 93, 193, 95, 195, 97, 197, 99, 199, 32, 132, 28, 128, 24, 124, 20, 120, 16, 116, 12, 112, 8, 108, 4, 104)(3, 103, 6, 106, 10, 110, 14, 114, 18, 118, 22, 122, 26, 126, 30, 130, 46, 146, 43, 143, 39, 139, 35, 135, 38, 138, 42, 142, 45, 145, 48, 148, 50, 150, 52, 152, 54, 154, 69, 169, 66, 166, 62, 162, 58, 158, 61, 161, 65, 165, 68, 168, 71, 171, 73, 173, 75, 175, 77, 177, 92, 192, 79, 179, 86, 186, 82, 182, 85, 185, 89, 189, 91, 191, 94, 194, 96, 196, 98, 198, 100, 200, 78, 178, 55, 155, 31, 131, 27, 127, 23, 123, 19, 119, 15, 115, 11, 111, 7, 107)(201, 301)(202, 302)(203, 303)(204, 304)(205, 305)(206, 306)(207, 307)(208, 308)(209, 309)(210, 310)(211, 311)(212, 312)(213, 313)(214, 314)(215, 315)(216, 316)(217, 317)(218, 318)(219, 319)(220, 320)(221, 321)(222, 322)(223, 323)(224, 324)(225, 325)(226, 326)(227, 327)(228, 328)(229, 329)(230, 330)(231, 331)(232, 332)(233, 333)(234, 334)(235, 335)(236, 336)(237, 337)(238, 338)(239, 339)(240, 340)(241, 341)(242, 342)(243, 343)(244, 344)(245, 345)(246, 346)(247, 347)(248, 348)(249, 349)(250, 350)(251, 351)(252, 352)(253, 353)(254, 354)(255, 355)(256, 356)(257, 357)(258, 358)(259, 359)(260, 360)(261, 361)(262, 362)(263, 363)(264, 364)(265, 365)(266, 366)(267, 367)(268, 368)(269, 369)(270, 370)(271, 371)(272, 372)(273, 373)(274, 374)(275, 375)(276, 376)(277, 377)(278, 378)(279, 379)(280, 380)(281, 381)(282, 382)(283, 383)(284, 384)(285, 385)(286, 386)(287, 387)(288, 388)(289, 389)(290, 390)(291, 391)(292, 392)(293, 393)(294, 394)(295, 395)(296, 396)(297, 397)(298, 398)(299, 399)(300, 400)
	L = (1, 203)(2, 206)(3, 201)(4, 207)(5, 210)(6, 202)(7, 204)(8, 211)(9, 214)(10, 205)(11, 208)(12, 215)(13, 218)(14, 209)(15, 212)(16, 219)(17, 222)(18, 213)(19, 216)(20, 223)(21, 226)(22, 217)(23, 220)(24, 227)(25, 230)(26, 221)(27, 224)(28, 231)(29, 246)(30, 225)(31, 228)(32, 255)(33, 235)(34, 238)(35, 233)(36, 239)(37, 242)(38, 234)(39, 236)(40, 243)(41, 245)(42, 237)(43, 240)(44, 248)(45, 241)(46, 229)(47, 250)(48, 244)(49, 252)(50, 247)(51, 254)(52, 249)(53, 269)(54, 251)(55, 232)(56, 258)(57, 261)(58, 256)(59, 262)(60, 265)(61, 257)(62, 259)(63, 266)(64, 268)(65, 260)(66, 263)(67, 271)(68, 264)(69, 253)(70, 273)(71, 267)(72, 275)(73, 270)(74, 277)(75, 272)(76, 292)(77, 274)(78, 299)(79, 287)(80, 282)(81, 285)(82, 280)(83, 286)(84, 289)(85, 281)(86, 283)(87, 279)(88, 291)(89, 284)(90, 294)(91, 288)(92, 276)(93, 296)(94, 290)(95, 298)(96, 293)(97, 300)(98, 295)(99, 278)(100, 297)(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, 100 ), ( 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100, 4, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.1813
Graph:: simple bipartite
	v = 102 e = 200 f = 52
	degree seq :: [ 2^100, 100^2 ]

E24.1815 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 34, 51})
Quotient :: regular
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2 * T1^-3 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^3 * T2 * T1^10 * T2 * T1^4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 95, 83, 71, 59, 47, 33, 17, 29, 44, 31, 45, 58, 70, 82, 94, 101, 102, 96, 84, 72, 60, 48, 34, 46, 32, 16, 28, 43, 57, 69, 81, 93, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 66, 79, 92, 98, 86, 74, 62, 50, 36, 20, 9, 19, 26, 12, 25, 42, 54, 67, 80, 90, 99, 87, 75, 63, 51, 37, 21, 30, 14, 6, 13, 27, 40, 55, 68, 78, 91, 97, 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, 96)(88, 99)(89, 98)(91, 100)(92, 101)(97, 102)
	local type(s) :: { ( 34^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1816
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 51 f = 3
	degree seq :: [ 51^2 ]

E24.1816 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 34, 51})
Quotient :: regular
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|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, T2 * T1^-3 * T2 * T1^-13 * T2 * T1^-1, T1^-1 * T2 * T1^-3 * T2 * T1^-4 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-6 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 97, 91, 79, 67, 55, 41, 54, 40, 53, 39, 52, 66, 78, 90, 102, 96, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 75, 86, 99, 94, 82, 70, 58, 44, 29, 38, 24, 37, 23, 36, 50, 65, 76, 89, 100, 93, 81, 69, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 74, 87, 98, 92, 80, 68, 56, 42, 27, 16, 26, 15, 25, 35, 51, 64, 77, 88, 101, 95, 83, 71, 59, 45, 30, 18, 9, 14)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 74)(63, 76)(65, 78)(70, 79)(71, 82)(72, 83)(73, 86)(75, 88)(77, 90)(80, 91)(81, 92)(84, 93)(85, 98)(87, 100)(89, 102)(94, 97)(95, 99)(96, 101)
	local type(s) :: { ( 51^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1815
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 3 e = 51 f = 2
	degree seq :: [ 34^3 ]

E24.1817 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 34, 51})
Quotient :: edge
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^15 * T1 * T2 * T1 * T2 * T1, T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-4 * T1 * T2^-1 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 57, 69, 81, 93, 100, 88, 76, 64, 52, 36, 50, 34, 48, 32, 47, 61, 73, 85, 97, 96, 84, 72, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 63, 75, 87, 99, 94, 82, 70, 58, 44, 29, 42, 27, 40, 25, 39, 55, 67, 79, 91, 102, 90, 78, 66, 54, 38, 24, 14, 6)(7, 15, 26, 41, 56, 68, 80, 92, 101, 89, 77, 65, 53, 37, 23, 13, 21, 11, 20, 33, 49, 62, 74, 86, 98, 95, 83, 71, 59, 45, 30, 18, 9, 16)(103, 104)(105, 109)(106, 111)(107, 113)(108, 115)(110, 114)(112, 116)(117, 127)(118, 129)(119, 128)(120, 131)(121, 132)(122, 134)(123, 136)(124, 135)(125, 138)(126, 139)(130, 137)(133, 140)(141, 149)(142, 150)(143, 157)(144, 152)(145, 158)(146, 154)(147, 160)(148, 161)(151, 163)(153, 164)(155, 166)(156, 167)(159, 165)(162, 168)(169, 175)(170, 181)(171, 182)(172, 178)(173, 184)(174, 185)(176, 187)(177, 188)(179, 190)(180, 191)(183, 189)(186, 192)(193, 199)(194, 204)(195, 203)(196, 202)(197, 201)(198, 200)
	L = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^34 ) }
Outer automorphisms :: reflexible
Dual of E24.1821
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 102 f = 2
	degree seq :: [ 2^51, 34^3 ]

E24.1818 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 34, 51})
Quotient :: edge
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1 * T2^4 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1^4 * T2^-3 * T1^2 * T2^-2 * T1 * T2^-2, T2^-1 * T1 * T2^-1 * T1^31, 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 * T1^4 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 73, 85, 97, 91, 81, 71, 59, 38, 18, 6, 17, 36, 57, 41, 30, 52, 66, 78, 90, 102, 95, 84, 70, 54, 34, 21, 42, 60, 39, 20, 13, 28, 50, 64, 76, 88, 100, 94, 80, 67, 55, 43, 33, 15, 5)(2, 7, 19, 40, 26, 49, 65, 74, 87, 101, 93, 83, 72, 56, 35, 16, 14, 31, 46, 24, 11, 27, 51, 62, 75, 89, 98, 96, 82, 68, 53, 37, 32, 45, 23, 9, 4, 12, 29, 48, 63, 77, 86, 99, 92, 79, 69, 58, 44, 22, 8)(103, 104, 108, 118, 136, 155, 169, 181, 193, 203, 192, 177, 166, 150, 127, 142, 159, 148, 162, 147, 135, 146, 161, 174, 186, 198, 202, 188, 175, 167, 154, 129, 115, 106)(105, 111, 119, 110, 123, 137, 157, 170, 183, 194, 204, 189, 178, 164, 149, 131, 143, 121, 141, 133, 117, 134, 140, 160, 172, 185, 196, 200, 187, 179, 168, 151, 130, 113)(107, 116, 120, 139, 156, 171, 182, 195, 199, 191, 180, 165, 152, 128, 112, 126, 138, 125, 144, 124, 145, 158, 173, 184, 197, 201, 190, 176, 163, 153, 132, 114, 122, 109)
	L = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 4^34 ), ( 4^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1822
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 102 f = 51
	degree seq :: [ 34^3, 51^2 ]

E24.1819 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 34, 51})
Quotient :: edge
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2 * T1^-3 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^3 * T2 * T1^10 * 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, 96)(88, 99)(89, 98)(91, 100)(92, 101)(97, 102)(103, 104, 107, 113, 125, 141, 155, 167, 179, 191, 197, 185, 173, 161, 149, 135, 119, 131, 146, 133, 147, 160, 172, 184, 196, 203, 204, 198, 186, 174, 162, 150, 136, 148, 134, 118, 130, 145, 159, 171, 183, 195, 202, 190, 178, 166, 154, 140, 124, 112, 106)(105, 109, 117, 126, 143, 158, 168, 181, 194, 200, 188, 176, 164, 152, 138, 122, 111, 121, 128, 114, 127, 144, 156, 169, 182, 192, 201, 189, 177, 165, 153, 139, 123, 132, 116, 108, 115, 129, 142, 157, 170, 180, 193, 199, 187, 175, 163, 151, 137, 120, 110)
	L = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 68, 68 ), ( 68^51 ) }
Outer automorphisms :: reflexible
Dual of E24.1820
Transitivity :: ET+
Graph:: simple bipartite
	v = 53 e = 102 f = 3
	degree seq :: [ 2^51, 51^2 ]

E24.1820 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 34, 51})
Quotient :: loop
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^15 * T1 * T2 * T1 * T2 * T1, T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-4 * T1 * T2^-1 ]
Map::
	R = (1, 103, 3, 105, 8, 110, 17, 119, 28, 130, 43, 145, 57, 159, 69, 171, 81, 183, 93, 195, 100, 202, 88, 190, 76, 178, 64, 166, 52, 154, 36, 138, 50, 152, 34, 136, 48, 150, 32, 134, 47, 149, 61, 163, 73, 175, 85, 187, 97, 199, 96, 198, 84, 186, 72, 174, 60, 162, 46, 148, 31, 133, 19, 121, 10, 112, 4, 106)(2, 104, 5, 107, 12, 114, 22, 124, 35, 137, 51, 153, 63, 165, 75, 177, 87, 189, 99, 201, 94, 196, 82, 184, 70, 172, 58, 160, 44, 146, 29, 131, 42, 144, 27, 129, 40, 142, 25, 127, 39, 141, 55, 157, 67, 169, 79, 181, 91, 193, 102, 204, 90, 192, 78, 180, 66, 168, 54, 156, 38, 140, 24, 126, 14, 116, 6, 108)(7, 109, 15, 117, 26, 128, 41, 143, 56, 158, 68, 170, 80, 182, 92, 194, 101, 203, 89, 191, 77, 179, 65, 167, 53, 155, 37, 139, 23, 125, 13, 115, 21, 123, 11, 113, 20, 122, 33, 135, 49, 151, 62, 164, 74, 176, 86, 188, 98, 200, 95, 197, 83, 185, 71, 173, 59, 161, 45, 147, 30, 132, 18, 120, 9, 111, 16, 118)
	L = (1, 104)(2, 103)(3, 109)(4, 111)(5, 113)(6, 115)(7, 105)(8, 114)(9, 106)(10, 116)(11, 107)(12, 110)(13, 108)(14, 112)(15, 127)(16, 129)(17, 128)(18, 131)(19, 132)(20, 134)(21, 136)(22, 135)(23, 138)(24, 139)(25, 117)(26, 119)(27, 118)(28, 137)(29, 120)(30, 121)(31, 140)(32, 122)(33, 124)(34, 123)(35, 130)(36, 125)(37, 126)(38, 133)(39, 149)(40, 150)(41, 157)(42, 152)(43, 158)(44, 154)(45, 160)(46, 161)(47, 141)(48, 142)(49, 163)(50, 144)(51, 164)(52, 146)(53, 166)(54, 167)(55, 143)(56, 145)(57, 165)(58, 147)(59, 148)(60, 168)(61, 151)(62, 153)(63, 159)(64, 155)(65, 156)(66, 162)(67, 175)(68, 181)(69, 182)(70, 178)(71, 184)(72, 185)(73, 169)(74, 187)(75, 188)(76, 172)(77, 190)(78, 191)(79, 170)(80, 171)(81, 189)(82, 173)(83, 174)(84, 192)(85, 176)(86, 177)(87, 183)(88, 179)(89, 180)(90, 186)(91, 199)(92, 204)(93, 203)(94, 202)(95, 201)(96, 200)(97, 193)(98, 198)(99, 197)(100, 196)(101, 195)(102, 194)
	local type(s) :: { ( 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1819
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 102 f = 53
	degree seq :: [ 68^3 ]

E24.1821 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 34, 51})
Quotient :: loop
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1 * T2^4 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1^4 * T2^-3 * T1^2 * T2^-2 * T1 * T2^-2, T2^-1 * T1 * T2^-1 * T1^31, 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 * T1^4 * T2^-1 ]
Map::
	R = (1, 103, 3, 105, 10, 112, 25, 127, 47, 149, 61, 163, 73, 175, 85, 187, 97, 199, 91, 193, 81, 183, 71, 173, 59, 161, 38, 140, 18, 120, 6, 108, 17, 119, 36, 138, 57, 159, 41, 143, 30, 132, 52, 154, 66, 168, 78, 180, 90, 192, 102, 204, 95, 197, 84, 186, 70, 172, 54, 156, 34, 136, 21, 123, 42, 144, 60, 162, 39, 141, 20, 122, 13, 115, 28, 130, 50, 152, 64, 166, 76, 178, 88, 190, 100, 202, 94, 196, 80, 182, 67, 169, 55, 157, 43, 145, 33, 135, 15, 117, 5, 107)(2, 104, 7, 109, 19, 121, 40, 142, 26, 128, 49, 151, 65, 167, 74, 176, 87, 189, 101, 203, 93, 195, 83, 185, 72, 174, 56, 158, 35, 137, 16, 118, 14, 116, 31, 133, 46, 148, 24, 126, 11, 113, 27, 129, 51, 153, 62, 164, 75, 177, 89, 191, 98, 200, 96, 198, 82, 184, 68, 170, 53, 155, 37, 139, 32, 134, 45, 147, 23, 125, 9, 111, 4, 106, 12, 114, 29, 131, 48, 150, 63, 165, 77, 179, 86, 188, 99, 201, 92, 194, 79, 181, 69, 171, 58, 160, 44, 146, 22, 124, 8, 110)
	L = (1, 104)(2, 108)(3, 111)(4, 103)(5, 116)(6, 118)(7, 107)(8, 123)(9, 119)(10, 126)(11, 105)(12, 122)(13, 106)(14, 120)(15, 134)(16, 136)(17, 110)(18, 139)(19, 141)(20, 109)(21, 137)(22, 145)(23, 144)(24, 138)(25, 142)(26, 112)(27, 115)(28, 113)(29, 143)(30, 114)(31, 117)(32, 140)(33, 146)(34, 155)(35, 157)(36, 125)(37, 156)(38, 160)(39, 133)(40, 159)(41, 121)(42, 124)(43, 158)(44, 161)(45, 135)(46, 162)(47, 131)(48, 127)(49, 130)(50, 128)(51, 132)(52, 129)(53, 169)(54, 171)(55, 170)(56, 173)(57, 148)(58, 172)(59, 174)(60, 147)(61, 153)(62, 149)(63, 152)(64, 150)(65, 154)(66, 151)(67, 181)(68, 183)(69, 182)(70, 185)(71, 184)(72, 186)(73, 167)(74, 163)(75, 166)(76, 164)(77, 168)(78, 165)(79, 193)(80, 195)(81, 194)(82, 197)(83, 196)(84, 198)(85, 179)(86, 175)(87, 178)(88, 176)(89, 180)(90, 177)(91, 203)(92, 204)(93, 199)(94, 200)(95, 201)(96, 202)(97, 191)(98, 187)(99, 190)(100, 188)(101, 192)(102, 189)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E24.1817
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 102 f = 54
	degree seq :: [ 102^2 ]

E24.1822 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 34, 51})
Quotient :: loop
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2 * T1^-3 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^3 * T2 * T1^10 * T2 * T1^4 ]
Map:: polytopal non-degenerate
	R = (1, 103, 3, 105)(2, 104, 6, 108)(4, 106, 9, 111)(5, 107, 12, 114)(7, 109, 16, 118)(8, 110, 17, 119)(10, 112, 21, 123)(11, 113, 24, 126)(13, 115, 28, 130)(14, 116, 29, 131)(15, 117, 31, 133)(18, 120, 34, 136)(19, 121, 32, 134)(20, 122, 33, 135)(22, 124, 35, 137)(23, 125, 40, 142)(25, 127, 43, 145)(26, 128, 44, 146)(27, 129, 45, 147)(30, 132, 46, 148)(36, 138, 48, 150)(37, 139, 47, 149)(38, 140, 50, 152)(39, 141, 54, 156)(41, 143, 57, 159)(42, 144, 58, 160)(49, 151, 59, 161)(51, 153, 60, 162)(52, 154, 63, 165)(53, 155, 66, 168)(55, 157, 69, 171)(56, 158, 70, 172)(61, 163, 72, 174)(62, 164, 71, 173)(64, 166, 73, 175)(65, 167, 78, 180)(67, 169, 81, 183)(68, 170, 82, 184)(74, 176, 84, 186)(75, 177, 83, 185)(76, 178, 86, 188)(77, 179, 90, 192)(79, 181, 93, 195)(80, 182, 94, 196)(85, 187, 95, 197)(87, 189, 96, 198)(88, 190, 99, 201)(89, 191, 98, 200)(91, 193, 100, 202)(92, 194, 101, 203)(97, 199, 102, 204)
	L = (1, 104)(2, 107)(3, 109)(4, 103)(5, 113)(6, 115)(7, 117)(8, 105)(9, 121)(10, 106)(11, 125)(12, 127)(13, 129)(14, 108)(15, 126)(16, 130)(17, 131)(18, 110)(19, 128)(20, 111)(21, 132)(22, 112)(23, 141)(24, 143)(25, 144)(26, 114)(27, 142)(28, 145)(29, 146)(30, 116)(31, 147)(32, 118)(33, 119)(34, 148)(35, 120)(36, 122)(37, 123)(38, 124)(39, 155)(40, 157)(41, 158)(42, 156)(43, 159)(44, 133)(45, 160)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 167)(54, 169)(55, 170)(56, 168)(57, 171)(58, 172)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 179)(66, 181)(67, 182)(68, 180)(69, 183)(70, 184)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 191)(78, 193)(79, 194)(80, 192)(81, 195)(82, 196)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 197)(90, 201)(91, 199)(92, 200)(93, 202)(94, 203)(95, 185)(96, 186)(97, 187)(98, 188)(99, 189)(100, 190)(101, 204)(102, 198)
	local type(s) :: { ( 34, 51, 34, 51 ) }
Outer automorphisms :: reflexible
Dual of E24.1818
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 51 e = 102 f = 5
	degree seq :: [ 4^51 ]

E24.1823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 34, 51})
Quotient :: dipole
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^-7 * Y1 * Y2^-9 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^51 ]
Map::
	R = (1, 103, 2, 104)(3, 105, 7, 109)(4, 106, 9, 111)(5, 107, 11, 113)(6, 108, 13, 115)(8, 110, 12, 114)(10, 112, 14, 116)(15, 117, 25, 127)(16, 118, 27, 129)(17, 119, 26, 128)(18, 120, 29, 131)(19, 121, 30, 132)(20, 122, 32, 134)(21, 123, 34, 136)(22, 124, 33, 135)(23, 125, 36, 138)(24, 126, 37, 139)(28, 130, 35, 137)(31, 133, 38, 140)(39, 141, 47, 149)(40, 142, 48, 150)(41, 143, 55, 157)(42, 144, 50, 152)(43, 145, 56, 158)(44, 146, 52, 154)(45, 147, 58, 160)(46, 148, 59, 161)(49, 151, 61, 163)(51, 153, 62, 164)(53, 155, 64, 166)(54, 156, 65, 167)(57, 159, 63, 165)(60, 162, 66, 168)(67, 169, 73, 175)(68, 170, 79, 181)(69, 171, 80, 182)(70, 172, 76, 178)(71, 173, 82, 184)(72, 174, 83, 185)(74, 176, 85, 187)(75, 177, 86, 188)(77, 179, 88, 190)(78, 180, 89, 191)(81, 183, 87, 189)(84, 186, 90, 192)(91, 193, 97, 199)(92, 194, 102, 204)(93, 195, 101, 203)(94, 196, 100, 202)(95, 197, 99, 201)(96, 198, 98, 200)(205, 307, 207, 309, 212, 314, 221, 323, 232, 334, 247, 349, 261, 363, 273, 375, 285, 387, 297, 399, 304, 406, 292, 394, 280, 382, 268, 370, 256, 358, 240, 342, 254, 356, 238, 340, 252, 354, 236, 338, 251, 353, 265, 367, 277, 379, 289, 391, 301, 403, 300, 402, 288, 390, 276, 378, 264, 366, 250, 352, 235, 337, 223, 325, 214, 316, 208, 310)(206, 308, 209, 311, 216, 318, 226, 328, 239, 341, 255, 357, 267, 369, 279, 381, 291, 393, 303, 405, 298, 400, 286, 388, 274, 376, 262, 364, 248, 350, 233, 335, 246, 348, 231, 333, 244, 346, 229, 331, 243, 345, 259, 361, 271, 373, 283, 385, 295, 397, 306, 408, 294, 396, 282, 384, 270, 372, 258, 360, 242, 344, 228, 330, 218, 320, 210, 312)(211, 313, 219, 321, 230, 332, 245, 347, 260, 362, 272, 374, 284, 386, 296, 398, 305, 407, 293, 395, 281, 383, 269, 371, 257, 359, 241, 343, 227, 329, 217, 319, 225, 327, 215, 317, 224, 326, 237, 339, 253, 355, 266, 368, 278, 380, 290, 392, 302, 404, 299, 401, 287, 389, 275, 377, 263, 365, 249, 351, 234, 336, 222, 324, 213, 315, 220, 322)
	L = (1, 206)(2, 205)(3, 211)(4, 213)(5, 215)(6, 217)(7, 207)(8, 216)(9, 208)(10, 218)(11, 209)(12, 212)(13, 210)(14, 214)(15, 229)(16, 231)(17, 230)(18, 233)(19, 234)(20, 236)(21, 238)(22, 237)(23, 240)(24, 241)(25, 219)(26, 221)(27, 220)(28, 239)(29, 222)(30, 223)(31, 242)(32, 224)(33, 226)(34, 225)(35, 232)(36, 227)(37, 228)(38, 235)(39, 251)(40, 252)(41, 259)(42, 254)(43, 260)(44, 256)(45, 262)(46, 263)(47, 243)(48, 244)(49, 265)(50, 246)(51, 266)(52, 248)(53, 268)(54, 269)(55, 245)(56, 247)(57, 267)(58, 249)(59, 250)(60, 270)(61, 253)(62, 255)(63, 261)(64, 257)(65, 258)(66, 264)(67, 277)(68, 283)(69, 284)(70, 280)(71, 286)(72, 287)(73, 271)(74, 289)(75, 290)(76, 274)(77, 292)(78, 293)(79, 272)(80, 273)(81, 291)(82, 275)(83, 276)(84, 294)(85, 278)(86, 279)(87, 285)(88, 281)(89, 282)(90, 288)(91, 301)(92, 306)(93, 305)(94, 304)(95, 303)(96, 302)(97, 295)(98, 300)(99, 299)(100, 298)(101, 297)(102, 296)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1826
Graph:: bipartite
	v = 54 e = 204 f = 104
	degree seq :: [ 4^51, 68^3 ]

E24.1824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 34, 51})
Quotient :: dipole
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y2^-2 * Y1^-1 * Y2^3 * Y1 * Y2^-1, Y2^-1 * Y1^6 * Y2^-2 * Y1 * Y2^-6 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-1 * Y1 ]
Map::
	R = (1, 103, 2, 104, 6, 108, 16, 118, 34, 136, 53, 155, 67, 169, 79, 181, 91, 193, 101, 203, 90, 192, 75, 177, 64, 166, 48, 150, 25, 127, 40, 142, 57, 159, 46, 148, 60, 162, 45, 147, 33, 135, 44, 146, 59, 161, 72, 174, 84, 186, 96, 198, 100, 202, 86, 188, 73, 175, 65, 167, 52, 154, 27, 129, 13, 115, 4, 106)(3, 105, 9, 111, 17, 119, 8, 110, 21, 123, 35, 137, 55, 157, 68, 170, 81, 183, 92, 194, 102, 204, 87, 189, 76, 178, 62, 164, 47, 149, 29, 131, 41, 143, 19, 121, 39, 141, 31, 133, 15, 117, 32, 134, 38, 140, 58, 160, 70, 172, 83, 185, 94, 196, 98, 200, 85, 187, 77, 179, 66, 168, 49, 151, 28, 130, 11, 113)(5, 107, 14, 116, 18, 120, 37, 139, 54, 156, 69, 171, 80, 182, 93, 195, 97, 199, 89, 191, 78, 180, 63, 165, 50, 152, 26, 128, 10, 112, 24, 126, 36, 138, 23, 125, 42, 144, 22, 124, 43, 145, 56, 158, 71, 173, 82, 184, 95, 197, 99, 201, 88, 190, 74, 176, 61, 163, 51, 153, 30, 132, 12, 114, 20, 122, 7, 109)(205, 307, 207, 309, 214, 316, 229, 331, 251, 353, 265, 367, 277, 379, 289, 391, 301, 403, 295, 397, 285, 387, 275, 377, 263, 365, 242, 344, 222, 324, 210, 312, 221, 323, 240, 342, 261, 363, 245, 347, 234, 336, 256, 358, 270, 372, 282, 384, 294, 396, 306, 408, 299, 401, 288, 390, 274, 376, 258, 360, 238, 340, 225, 327, 246, 348, 264, 366, 243, 345, 224, 326, 217, 319, 232, 334, 254, 356, 268, 370, 280, 382, 292, 394, 304, 406, 298, 400, 284, 386, 271, 373, 259, 361, 247, 349, 237, 339, 219, 321, 209, 311)(206, 308, 211, 313, 223, 325, 244, 346, 230, 332, 253, 355, 269, 371, 278, 380, 291, 393, 305, 407, 297, 399, 287, 389, 276, 378, 260, 362, 239, 341, 220, 322, 218, 320, 235, 337, 250, 352, 228, 330, 215, 317, 231, 333, 255, 357, 266, 368, 279, 381, 293, 395, 302, 404, 300, 402, 286, 388, 272, 374, 257, 359, 241, 343, 236, 338, 249, 351, 227, 329, 213, 315, 208, 310, 216, 318, 233, 335, 252, 354, 267, 369, 281, 383, 290, 392, 303, 405, 296, 398, 283, 385, 273, 375, 262, 364, 248, 350, 226, 328, 212, 314)
	L = (1, 207)(2, 211)(3, 214)(4, 216)(5, 205)(6, 221)(7, 223)(8, 206)(9, 208)(10, 229)(11, 231)(12, 233)(13, 232)(14, 235)(15, 209)(16, 218)(17, 240)(18, 210)(19, 244)(20, 217)(21, 246)(22, 212)(23, 213)(24, 215)(25, 251)(26, 253)(27, 255)(28, 254)(29, 252)(30, 256)(31, 250)(32, 249)(33, 219)(34, 225)(35, 220)(36, 261)(37, 236)(38, 222)(39, 224)(40, 230)(41, 234)(42, 264)(43, 237)(44, 226)(45, 227)(46, 228)(47, 265)(48, 267)(49, 269)(50, 268)(51, 266)(52, 270)(53, 241)(54, 238)(55, 247)(56, 239)(57, 245)(58, 248)(59, 242)(60, 243)(61, 277)(62, 279)(63, 281)(64, 280)(65, 278)(66, 282)(67, 259)(68, 257)(69, 262)(70, 258)(71, 263)(72, 260)(73, 289)(74, 291)(75, 293)(76, 292)(77, 290)(78, 294)(79, 273)(80, 271)(81, 275)(82, 272)(83, 276)(84, 274)(85, 301)(86, 303)(87, 305)(88, 304)(89, 302)(90, 306)(91, 285)(92, 283)(93, 287)(94, 284)(95, 288)(96, 286)(97, 295)(98, 300)(99, 296)(100, 298)(101, 297)(102, 299)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1825
Graph:: bipartite
	v = 5 e = 204 f = 153
	degree seq :: [ 68^3, 102^2 ]

E24.1825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 34, 51})
Quotient :: dipole
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|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, Y3^7 * Y2 * Y3^10 * Y2, (Y3^-1 * Y1^-1)^51 ]
Map:: polytopal
	R = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)(205, 307, 206, 308)(207, 309, 211, 313)(208, 310, 213, 315)(209, 311, 215, 317)(210, 312, 217, 319)(212, 314, 221, 323)(214, 316, 225, 327)(216, 318, 229, 331)(218, 320, 233, 335)(219, 321, 227, 329)(220, 322, 231, 333)(222, 324, 230, 332)(223, 325, 228, 330)(224, 326, 232, 334)(226, 328, 234, 336)(235, 337, 245, 347)(236, 338, 244, 346)(237, 339, 243, 345)(238, 340, 246, 348)(239, 341, 251, 353)(240, 342, 249, 351)(241, 343, 248, 350)(242, 344, 254, 356)(247, 349, 257, 359)(250, 352, 260, 362)(252, 354, 258, 360)(253, 355, 264, 366)(255, 357, 261, 363)(256, 358, 267, 369)(259, 361, 270, 372)(262, 364, 273, 375)(263, 365, 269, 371)(265, 367, 271, 373)(266, 368, 272, 374)(268, 370, 274, 376)(275, 377, 282, 384)(276, 378, 281, 383)(277, 379, 287, 389)(278, 380, 285, 387)(279, 381, 284, 386)(280, 382, 290, 392)(283, 385, 293, 395)(286, 388, 296, 398)(288, 390, 294, 396)(289, 391, 300, 402)(291, 393, 297, 399)(292, 394, 303, 405)(295, 397, 305, 407)(298, 400, 306, 408)(299, 401, 304, 406)(301, 403, 302, 404)
	L = (1, 207)(2, 209)(3, 212)(4, 205)(5, 216)(6, 206)(7, 219)(8, 222)(9, 223)(10, 208)(11, 227)(12, 230)(13, 231)(14, 210)(15, 235)(16, 211)(17, 237)(18, 239)(19, 238)(20, 213)(21, 236)(22, 214)(23, 243)(24, 215)(25, 245)(26, 247)(27, 246)(28, 217)(29, 244)(30, 218)(31, 251)(32, 220)(33, 252)(34, 221)(35, 253)(36, 224)(37, 225)(38, 226)(39, 257)(40, 228)(41, 258)(42, 229)(43, 259)(44, 232)(45, 233)(46, 234)(47, 263)(48, 264)(49, 265)(50, 240)(51, 241)(52, 242)(53, 269)(54, 270)(55, 271)(56, 248)(57, 249)(58, 250)(59, 275)(60, 276)(61, 277)(62, 254)(63, 255)(64, 256)(65, 281)(66, 282)(67, 283)(68, 260)(69, 261)(70, 262)(71, 287)(72, 288)(73, 289)(74, 266)(75, 267)(76, 268)(77, 293)(78, 294)(79, 295)(80, 272)(81, 273)(82, 274)(83, 299)(84, 300)(85, 301)(86, 278)(87, 279)(88, 280)(89, 304)(90, 305)(91, 302)(92, 284)(93, 285)(94, 286)(95, 298)(96, 303)(97, 296)(98, 290)(99, 291)(100, 292)(101, 306)(102, 297)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 68, 102 ), ( 68, 102, 68, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1824
Graph:: simple bipartite
	v = 153 e = 204 f = 5
	degree seq :: [ 2^102, 4^51 ]

E24.1826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 34, 51})
Quotient :: dipole
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1^3 * Y3 * Y1^-3, Y3 * Y1^4 * Y3 * Y1^13 ]
Map::
	R = (1, 103, 2, 104, 5, 107, 11, 113, 23, 125, 39, 141, 53, 155, 65, 167, 77, 179, 89, 191, 95, 197, 83, 185, 71, 173, 59, 161, 47, 149, 33, 135, 17, 119, 29, 131, 44, 146, 31, 133, 45, 147, 58, 160, 70, 172, 82, 184, 94, 196, 101, 203, 102, 204, 96, 198, 84, 186, 72, 174, 60, 162, 48, 150, 34, 136, 46, 148, 32, 134, 16, 118, 28, 130, 43, 145, 57, 159, 69, 171, 81, 183, 93, 195, 100, 202, 88, 190, 76, 178, 64, 166, 52, 154, 38, 140, 22, 124, 10, 112, 4, 106)(3, 105, 7, 109, 15, 117, 24, 126, 41, 143, 56, 158, 66, 168, 79, 181, 92, 194, 98, 200, 86, 188, 74, 176, 62, 164, 50, 152, 36, 138, 20, 122, 9, 111, 19, 121, 26, 128, 12, 114, 25, 127, 42, 144, 54, 156, 67, 169, 80, 182, 90, 192, 99, 201, 87, 189, 75, 177, 63, 165, 51, 153, 37, 139, 21, 123, 30, 132, 14, 116, 6, 108, 13, 115, 27, 129, 40, 142, 55, 157, 68, 170, 78, 180, 91, 193, 97, 199, 85, 187, 73, 175, 61, 163, 49, 151, 35, 137, 18, 120, 8, 110)(205, 307)(206, 308)(207, 309)(208, 310)(209, 311)(210, 312)(211, 313)(212, 314)(213, 315)(214, 316)(215, 317)(216, 318)(217, 319)(218, 320)(219, 321)(220, 322)(221, 323)(222, 324)(223, 325)(224, 326)(225, 327)(226, 328)(227, 329)(228, 330)(229, 331)(230, 332)(231, 333)(232, 334)(233, 335)(234, 336)(235, 337)(236, 338)(237, 339)(238, 340)(239, 341)(240, 342)(241, 343)(242, 344)(243, 345)(244, 346)(245, 347)(246, 348)(247, 349)(248, 350)(249, 351)(250, 352)(251, 353)(252, 354)(253, 355)(254, 356)(255, 357)(256, 358)(257, 359)(258, 360)(259, 361)(260, 362)(261, 363)(262, 364)(263, 365)(264, 366)(265, 367)(266, 368)(267, 369)(268, 370)(269, 371)(270, 372)(271, 373)(272, 374)(273, 375)(274, 376)(275, 377)(276, 378)(277, 379)(278, 380)(279, 381)(280, 382)(281, 383)(282, 384)(283, 385)(284, 386)(285, 387)(286, 388)(287, 389)(288, 390)(289, 391)(290, 392)(291, 393)(292, 394)(293, 395)(294, 396)(295, 397)(296, 398)(297, 399)(298, 400)(299, 401)(300, 402)(301, 403)(302, 404)(303, 405)(304, 406)(305, 407)(306, 408)
	L = (1, 207)(2, 210)(3, 205)(4, 213)(5, 216)(6, 206)(7, 220)(8, 221)(9, 208)(10, 225)(11, 228)(12, 209)(13, 232)(14, 233)(15, 235)(16, 211)(17, 212)(18, 238)(19, 236)(20, 237)(21, 214)(22, 239)(23, 244)(24, 215)(25, 247)(26, 248)(27, 249)(28, 217)(29, 218)(30, 250)(31, 219)(32, 223)(33, 224)(34, 222)(35, 226)(36, 252)(37, 251)(38, 254)(39, 258)(40, 227)(41, 261)(42, 262)(43, 229)(44, 230)(45, 231)(46, 234)(47, 241)(48, 240)(49, 263)(50, 242)(51, 264)(52, 267)(53, 270)(54, 243)(55, 273)(56, 274)(57, 245)(58, 246)(59, 253)(60, 255)(61, 276)(62, 275)(63, 256)(64, 277)(65, 282)(66, 257)(67, 285)(68, 286)(69, 259)(70, 260)(71, 266)(72, 265)(73, 268)(74, 288)(75, 287)(76, 290)(77, 294)(78, 269)(79, 297)(80, 298)(81, 271)(82, 272)(83, 279)(84, 278)(85, 299)(86, 280)(87, 300)(88, 303)(89, 302)(90, 281)(91, 304)(92, 305)(93, 283)(94, 284)(95, 289)(96, 291)(97, 306)(98, 293)(99, 292)(100, 295)(101, 296)(102, 301)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 4, 68 ), ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.1823
Graph:: simple bipartite
	v = 104 e = 204 f = 54
	degree seq :: [ 2^102, 102^2 ]

E24.1827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 34, 51})
Quotient :: dipole
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|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, Y2^16 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^34 ]
Map::
	R = (1, 103, 2, 104)(3, 105, 7, 109)(4, 106, 9, 111)(5, 107, 11, 113)(6, 108, 13, 115)(8, 110, 17, 119)(10, 112, 21, 123)(12, 114, 25, 127)(14, 116, 29, 131)(15, 117, 23, 125)(16, 118, 27, 129)(18, 120, 26, 128)(19, 121, 24, 126)(20, 122, 28, 130)(22, 124, 30, 132)(31, 133, 41, 143)(32, 134, 40, 142)(33, 135, 39, 141)(34, 136, 42, 144)(35, 137, 47, 149)(36, 138, 45, 147)(37, 139, 44, 146)(38, 140, 50, 152)(43, 145, 53, 155)(46, 148, 56, 158)(48, 150, 54, 156)(49, 151, 60, 162)(51, 153, 57, 159)(52, 154, 63, 165)(55, 157, 66, 168)(58, 160, 69, 171)(59, 161, 65, 167)(61, 163, 67, 169)(62, 164, 68, 170)(64, 166, 70, 172)(71, 173, 78, 180)(72, 174, 77, 179)(73, 175, 83, 185)(74, 176, 81, 183)(75, 177, 80, 182)(76, 178, 86, 188)(79, 181, 89, 191)(82, 184, 92, 194)(84, 186, 90, 192)(85, 187, 96, 198)(87, 189, 93, 195)(88, 190, 99, 201)(91, 193, 101, 203)(94, 196, 102, 204)(95, 197, 100, 202)(97, 199, 98, 200)(205, 307, 207, 309, 212, 314, 222, 324, 239, 341, 253, 355, 265, 367, 277, 379, 289, 391, 301, 403, 296, 398, 284, 386, 272, 374, 260, 362, 248, 350, 232, 334, 217, 319, 231, 333, 246, 348, 229, 331, 245, 347, 258, 360, 270, 372, 282, 384, 294, 396, 305, 407, 306, 408, 297, 399, 285, 387, 273, 375, 261, 363, 249, 351, 233, 335, 244, 346, 228, 330, 215, 317, 227, 329, 243, 345, 257, 359, 269, 371, 281, 383, 293, 395, 304, 406, 292, 394, 280, 382, 268, 370, 256, 358, 242, 344, 226, 328, 214, 316, 208, 310)(206, 308, 209, 311, 216, 318, 230, 332, 247, 349, 259, 361, 271, 373, 283, 385, 295, 397, 302, 404, 290, 392, 278, 380, 266, 368, 254, 356, 240, 342, 224, 326, 213, 315, 223, 325, 238, 340, 221, 323, 237, 339, 252, 354, 264, 366, 276, 378, 288, 390, 300, 402, 303, 405, 291, 393, 279, 381, 267, 369, 255, 357, 241, 343, 225, 327, 236, 338, 220, 322, 211, 313, 219, 321, 235, 337, 251, 353, 263, 365, 275, 377, 287, 389, 299, 401, 298, 400, 286, 388, 274, 376, 262, 364, 250, 352, 234, 336, 218, 320, 210, 312)
	L = (1, 206)(2, 205)(3, 211)(4, 213)(5, 215)(6, 217)(7, 207)(8, 221)(9, 208)(10, 225)(11, 209)(12, 229)(13, 210)(14, 233)(15, 227)(16, 231)(17, 212)(18, 230)(19, 228)(20, 232)(21, 214)(22, 234)(23, 219)(24, 223)(25, 216)(26, 222)(27, 220)(28, 224)(29, 218)(30, 226)(31, 245)(32, 244)(33, 243)(34, 246)(35, 251)(36, 249)(37, 248)(38, 254)(39, 237)(40, 236)(41, 235)(42, 238)(43, 257)(44, 241)(45, 240)(46, 260)(47, 239)(48, 258)(49, 264)(50, 242)(51, 261)(52, 267)(53, 247)(54, 252)(55, 270)(56, 250)(57, 255)(58, 273)(59, 269)(60, 253)(61, 271)(62, 272)(63, 256)(64, 274)(65, 263)(66, 259)(67, 265)(68, 266)(69, 262)(70, 268)(71, 282)(72, 281)(73, 287)(74, 285)(75, 284)(76, 290)(77, 276)(78, 275)(79, 293)(80, 279)(81, 278)(82, 296)(83, 277)(84, 294)(85, 300)(86, 280)(87, 297)(88, 303)(89, 283)(90, 288)(91, 305)(92, 286)(93, 291)(94, 306)(95, 304)(96, 289)(97, 302)(98, 301)(99, 292)(100, 299)(101, 295)(102, 298)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 2, 68, 2, 68 ), ( 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68 ) }
Outer automorphisms :: reflexible
Dual of E24.1828
Graph:: bipartite
	v = 53 e = 204 f = 105
	degree seq :: [ 4^51, 102^2 ]

E24.1828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 34, 51})
Quotient :: dipole
Aut^+ = C17 x S3 (small group id <102, 1>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1^3 * Y3^-3 * Y1 * Y3^-6 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^31, (Y3 * Y2^-1)^51 ]
Map::
	R = (1, 103, 2, 104, 6, 108, 16, 118, 34, 136, 53, 155, 67, 169, 79, 181, 91, 193, 101, 203, 90, 192, 75, 177, 64, 166, 48, 150, 25, 127, 40, 142, 57, 159, 46, 148, 60, 162, 45, 147, 33, 135, 44, 146, 59, 161, 72, 174, 84, 186, 96, 198, 100, 202, 86, 188, 73, 175, 65, 167, 52, 154, 27, 129, 13, 115, 4, 106)(3, 105, 9, 111, 17, 119, 8, 110, 21, 123, 35, 137, 55, 157, 68, 170, 81, 183, 92, 194, 102, 204, 87, 189, 76, 178, 62, 164, 47, 149, 29, 131, 41, 143, 19, 121, 39, 141, 31, 133, 15, 117, 32, 134, 38, 140, 58, 160, 70, 172, 83, 185, 94, 196, 98, 200, 85, 187, 77, 179, 66, 168, 49, 151, 28, 130, 11, 113)(5, 107, 14, 116, 18, 120, 37, 139, 54, 156, 69, 171, 80, 182, 93, 195, 97, 199, 89, 191, 78, 180, 63, 165, 50, 152, 26, 128, 10, 112, 24, 126, 36, 138, 23, 125, 42, 144, 22, 124, 43, 145, 56, 158, 71, 173, 82, 184, 95, 197, 99, 201, 88, 190, 74, 176, 61, 163, 51, 153, 30, 132, 12, 114, 20, 122, 7, 109)(205, 307)(206, 308)(207, 309)(208, 310)(209, 311)(210, 312)(211, 313)(212, 314)(213, 315)(214, 316)(215, 317)(216, 318)(217, 319)(218, 320)(219, 321)(220, 322)(221, 323)(222, 324)(223, 325)(224, 326)(225, 327)(226, 328)(227, 329)(228, 330)(229, 331)(230, 332)(231, 333)(232, 334)(233, 335)(234, 336)(235, 337)(236, 338)(237, 339)(238, 340)(239, 341)(240, 342)(241, 343)(242, 344)(243, 345)(244, 346)(245, 347)(246, 348)(247, 349)(248, 350)(249, 351)(250, 352)(251, 353)(252, 354)(253, 355)(254, 356)(255, 357)(256, 358)(257, 359)(258, 360)(259, 361)(260, 362)(261, 363)(262, 364)(263, 365)(264, 366)(265, 367)(266, 368)(267, 369)(268, 370)(269, 371)(270, 372)(271, 373)(272, 374)(273, 375)(274, 376)(275, 377)(276, 378)(277, 379)(278, 380)(279, 381)(280, 382)(281, 383)(282, 384)(283, 385)(284, 386)(285, 387)(286, 388)(287, 389)(288, 390)(289, 391)(290, 392)(291, 393)(292, 394)(293, 395)(294, 396)(295, 397)(296, 398)(297, 399)(298, 400)(299, 401)(300, 402)(301, 403)(302, 404)(303, 405)(304, 406)(305, 407)(306, 408)
	L = (1, 207)(2, 211)(3, 214)(4, 216)(5, 205)(6, 221)(7, 223)(8, 206)(9, 208)(10, 229)(11, 231)(12, 233)(13, 232)(14, 235)(15, 209)(16, 218)(17, 240)(18, 210)(19, 244)(20, 217)(21, 246)(22, 212)(23, 213)(24, 215)(25, 251)(26, 253)(27, 255)(28, 254)(29, 252)(30, 256)(31, 250)(32, 249)(33, 219)(34, 225)(35, 220)(36, 261)(37, 236)(38, 222)(39, 224)(40, 230)(41, 234)(42, 264)(43, 237)(44, 226)(45, 227)(46, 228)(47, 265)(48, 267)(49, 269)(50, 268)(51, 266)(52, 270)(53, 241)(54, 238)(55, 247)(56, 239)(57, 245)(58, 248)(59, 242)(60, 243)(61, 277)(62, 279)(63, 281)(64, 280)(65, 278)(66, 282)(67, 259)(68, 257)(69, 262)(70, 258)(71, 263)(72, 260)(73, 289)(74, 291)(75, 293)(76, 292)(77, 290)(78, 294)(79, 273)(80, 271)(81, 275)(82, 272)(83, 276)(84, 274)(85, 301)(86, 303)(87, 305)(88, 304)(89, 302)(90, 306)(91, 285)(92, 283)(93, 287)(94, 284)(95, 288)(96, 286)(97, 295)(98, 300)(99, 296)(100, 298)(101, 297)(102, 299)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 4, 102 ), ( 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102 ) }
Outer automorphisms :: reflexible
Dual of E24.1827
Graph:: simple bipartite
	v = 105 e = 204 f = 53
	degree seq :: [ 2^102, 68^3 ]

E24.1829 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 26, 52})
Quotient :: regular
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2, (T1 * T2 * T1^-1 * T2)^2, T1^-2 * T2 * T1^-23 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 97, 89, 81, 73, 65, 57, 49, 41, 33, 25, 16, 24, 15, 23, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 62, 71, 78, 87, 94, 103, 99, 91, 83, 75, 67, 59, 51, 43, 35, 27, 18, 9, 14, 6, 13, 21, 31, 38, 47, 54, 63, 70, 79, 86, 95, 102, 98, 90, 82, 74, 66, 58, 50, 42, 34, 26, 17, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 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, 94)(87, 96)(90, 97)(92, 98)(93, 102)(95, 104)(99, 101)(100, 103)
	local type(s) :: { ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1830
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 52 f = 4
	degree seq :: [ 52^2 ]

E24.1830 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 26, 52})
Quotient :: regular
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|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, T1^26, 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^-7 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 93, 92, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 62, 71, 78, 87, 94, 101, 98, 90, 82, 74, 66, 58, 50, 42, 34, 26, 17, 8)(6, 13, 21, 31, 38, 47, 54, 63, 70, 79, 86, 95, 100, 99, 91, 83, 75, 67, 59, 51, 43, 35, 27, 18, 9, 14)(15, 23, 32, 40, 48, 56, 64, 72, 80, 88, 96, 102, 104, 103, 97, 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, 94)(87, 96)(90, 97)(92, 98)(93, 100)(95, 102)(99, 103)(101, 104)
	local type(s) :: { ( 52^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1829
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 52 f = 2
	degree seq :: [ 26^4 ]

E24.1831 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 26, 52})
Quotient :: edge
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^26, 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^-7 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 92, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 46, 54, 62, 70, 78, 86, 94, 101, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 103, 99, 91, 83, 75, 67, 59, 51, 43, 35, 27, 18, 9, 16)(11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 93, 100, 104, 102, 95, 87, 79, 71, 63, 55, 47, 39, 31, 23, 13, 21)(105, 106)(107, 111)(108, 113)(109, 115)(110, 117)(112, 116)(114, 118)(119, 124)(120, 125)(121, 129)(122, 127)(123, 131)(126, 133)(128, 135)(130, 134)(132, 136)(137, 141)(138, 145)(139, 143)(140, 147)(142, 149)(144, 151)(146, 150)(148, 152)(153, 157)(154, 161)(155, 159)(156, 163)(158, 165)(160, 167)(162, 166)(164, 168)(169, 173)(170, 177)(171, 175)(172, 179)(174, 181)(176, 183)(178, 182)(180, 184)(185, 189)(186, 193)(187, 191)(188, 195)(190, 197)(192, 199)(194, 198)(196, 200)(201, 204)(202, 207)(203, 206)(205, 208)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1835
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 104 f = 2
	degree seq :: [ 2^52, 26^4 ]

E24.1832 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 26, 52})
Quotient :: edge
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1^23, T1^-1 * T2 * T1^-1 * T2^49 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 33, 41, 49, 57, 65, 73, 81, 89, 97, 103, 96, 86, 77, 71, 64, 54, 45, 39, 32, 18, 6, 17, 30, 20, 13, 27, 36, 44, 52, 60, 68, 76, 84, 92, 100, 102, 93, 87, 80, 70, 61, 55, 48, 38, 28, 21, 15, 5)(2, 7, 19, 11, 26, 34, 43, 50, 59, 66, 75, 82, 91, 98, 104, 94, 85, 79, 72, 62, 53, 47, 40, 29, 16, 14, 23, 9, 4, 12, 25, 35, 42, 51, 58, 67, 74, 83, 90, 99, 101, 95, 88, 78, 69, 63, 56, 46, 37, 31, 22, 8)(105, 106, 110, 120, 132, 141, 149, 157, 165, 173, 181, 189, 197, 205, 201, 195, 188, 178, 169, 163, 156, 146, 137, 130, 117, 108)(107, 113, 121, 112, 125, 133, 143, 150, 159, 166, 175, 182, 191, 198, 207, 203, 196, 186, 177, 171, 164, 154, 145, 139, 131, 115)(109, 118, 122, 135, 142, 151, 158, 167, 174, 183, 190, 199, 206, 202, 193, 187, 180, 170, 161, 155, 148, 138, 128, 116, 124, 111)(114, 123, 134, 127, 119, 126, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 204, 194, 185, 179, 172, 162, 153, 147, 140, 129)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4^26 ), ( 4^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1836
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 104 f = 52
	degree seq :: [ 26^4, 52^2 ]

E24.1833 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 26, 52})
Quotient :: edge
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2, (T1 * T2 * T1^-1 * T2)^2, T1^-2 * T2 * T1^-23 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 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, 94)(87, 96)(90, 97)(92, 98)(93, 102)(95, 104)(99, 101)(100, 103)(105, 106, 109, 115, 124, 133, 141, 149, 157, 165, 173, 181, 189, 197, 205, 201, 193, 185, 177, 169, 161, 153, 145, 137, 129, 120, 128, 119, 127, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 204, 196, 188, 180, 172, 164, 156, 148, 140, 132, 123, 114, 108)(107, 111, 116, 126, 134, 143, 150, 159, 166, 175, 182, 191, 198, 207, 203, 195, 187, 179, 171, 163, 155, 147, 139, 131, 122, 113, 118, 110, 117, 125, 135, 142, 151, 158, 167, 174, 183, 190, 199, 206, 202, 194, 186, 178, 170, 162, 154, 146, 138, 130, 121, 112)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 52, 52 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1834
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 104 f = 4
	degree seq :: [ 2^52, 52^2 ]

E24.1834 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 26, 52})
Quotient :: loop
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^26, 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^-7 ]
Map::
	R = (1, 105, 3, 107, 8, 112, 17, 121, 26, 130, 34, 138, 42, 146, 50, 154, 58, 162, 66, 170, 74, 178, 82, 186, 90, 194, 98, 202, 92, 196, 84, 188, 76, 180, 68, 172, 60, 164, 52, 156, 44, 148, 36, 140, 28, 132, 19, 123, 10, 114, 4, 108)(2, 106, 5, 109, 12, 116, 22, 126, 30, 134, 38, 142, 46, 150, 54, 158, 62, 166, 70, 174, 78, 182, 86, 190, 94, 198, 101, 205, 96, 200, 88, 192, 80, 184, 72, 176, 64, 168, 56, 160, 48, 152, 40, 144, 32, 136, 24, 128, 14, 118, 6, 110)(7, 111, 15, 119, 25, 129, 33, 137, 41, 145, 49, 153, 57, 161, 65, 169, 73, 177, 81, 185, 89, 193, 97, 201, 103, 207, 99, 203, 91, 195, 83, 187, 75, 179, 67, 171, 59, 163, 51, 155, 43, 147, 35, 139, 27, 131, 18, 122, 9, 113, 16, 120)(11, 115, 20, 124, 29, 133, 37, 141, 45, 149, 53, 157, 61, 165, 69, 173, 77, 181, 85, 189, 93, 197, 100, 204, 104, 208, 102, 206, 95, 199, 87, 191, 79, 183, 71, 175, 63, 167, 55, 159, 47, 151, 39, 143, 31, 135, 23, 127, 13, 117, 21, 125)
	L = (1, 106)(2, 105)(3, 111)(4, 113)(5, 115)(6, 117)(7, 107)(8, 116)(9, 108)(10, 118)(11, 109)(12, 112)(13, 110)(14, 114)(15, 124)(16, 125)(17, 129)(18, 127)(19, 131)(20, 119)(21, 120)(22, 133)(23, 122)(24, 135)(25, 121)(26, 134)(27, 123)(28, 136)(29, 126)(30, 130)(31, 128)(32, 132)(33, 141)(34, 145)(35, 143)(36, 147)(37, 137)(38, 149)(39, 139)(40, 151)(41, 138)(42, 150)(43, 140)(44, 152)(45, 142)(46, 146)(47, 144)(48, 148)(49, 157)(50, 161)(51, 159)(52, 163)(53, 153)(54, 165)(55, 155)(56, 167)(57, 154)(58, 166)(59, 156)(60, 168)(61, 158)(62, 162)(63, 160)(64, 164)(65, 173)(66, 177)(67, 175)(68, 179)(69, 169)(70, 181)(71, 171)(72, 183)(73, 170)(74, 182)(75, 172)(76, 184)(77, 174)(78, 178)(79, 176)(80, 180)(81, 189)(82, 193)(83, 191)(84, 195)(85, 185)(86, 197)(87, 187)(88, 199)(89, 186)(90, 198)(91, 188)(92, 200)(93, 190)(94, 194)(95, 192)(96, 196)(97, 204)(98, 207)(99, 206)(100, 201)(101, 208)(102, 203)(103, 202)(104, 205)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1833
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 104 f = 54
	degree seq :: [ 52^4 ]

E24.1835 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 26, 52})
Quotient :: loop
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1^23, T1^-1 * T2 * T1^-1 * T2^49 ]
Map::
	R = (1, 105, 3, 107, 10, 114, 24, 128, 33, 137, 41, 145, 49, 153, 57, 161, 65, 169, 73, 177, 81, 185, 89, 193, 97, 201, 103, 207, 96, 200, 86, 190, 77, 181, 71, 175, 64, 168, 54, 158, 45, 149, 39, 143, 32, 136, 18, 122, 6, 110, 17, 121, 30, 134, 20, 124, 13, 117, 27, 131, 36, 140, 44, 148, 52, 156, 60, 164, 68, 172, 76, 180, 84, 188, 92, 196, 100, 204, 102, 206, 93, 197, 87, 191, 80, 184, 70, 174, 61, 165, 55, 159, 48, 152, 38, 142, 28, 132, 21, 125, 15, 119, 5, 109)(2, 106, 7, 111, 19, 123, 11, 115, 26, 130, 34, 138, 43, 147, 50, 154, 59, 163, 66, 170, 75, 179, 82, 186, 91, 195, 98, 202, 104, 208, 94, 198, 85, 189, 79, 183, 72, 176, 62, 166, 53, 157, 47, 151, 40, 144, 29, 133, 16, 120, 14, 118, 23, 127, 9, 113, 4, 108, 12, 116, 25, 129, 35, 139, 42, 146, 51, 155, 58, 162, 67, 171, 74, 178, 83, 187, 90, 194, 99, 203, 101, 205, 95, 199, 88, 192, 78, 182, 69, 173, 63, 167, 56, 160, 46, 150, 37, 141, 31, 135, 22, 126, 8, 112)
	L = (1, 106)(2, 110)(3, 113)(4, 105)(5, 118)(6, 120)(7, 109)(8, 125)(9, 121)(10, 123)(11, 107)(12, 124)(13, 108)(14, 122)(15, 126)(16, 132)(17, 112)(18, 135)(19, 134)(20, 111)(21, 133)(22, 136)(23, 119)(24, 116)(25, 114)(26, 117)(27, 115)(28, 141)(29, 143)(30, 127)(31, 142)(32, 144)(33, 130)(34, 128)(35, 131)(36, 129)(37, 149)(38, 151)(39, 150)(40, 152)(41, 139)(42, 137)(43, 140)(44, 138)(45, 157)(46, 159)(47, 158)(48, 160)(49, 147)(50, 145)(51, 148)(52, 146)(53, 165)(54, 167)(55, 166)(56, 168)(57, 155)(58, 153)(59, 156)(60, 154)(61, 173)(62, 175)(63, 174)(64, 176)(65, 163)(66, 161)(67, 164)(68, 162)(69, 181)(70, 183)(71, 182)(72, 184)(73, 171)(74, 169)(75, 172)(76, 170)(77, 189)(78, 191)(79, 190)(80, 192)(81, 179)(82, 177)(83, 180)(84, 178)(85, 197)(86, 199)(87, 198)(88, 200)(89, 187)(90, 185)(91, 188)(92, 186)(93, 205)(94, 207)(95, 206)(96, 208)(97, 195)(98, 193)(99, 196)(100, 194)(101, 201)(102, 202)(103, 203)(104, 204)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.1831
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 104 f = 56
	degree seq :: [ 104^2 ]

E24.1836 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 26, 52})
Quotient :: loop
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2, (T1 * T2 * T1^-1 * T2)^2, T1^-2 * T2 * T1^-23 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 105, 3, 107)(2, 106, 6, 110)(4, 108, 9, 113)(5, 109, 12, 116)(7, 111, 15, 119)(8, 112, 16, 120)(10, 114, 17, 121)(11, 115, 21, 125)(13, 117, 23, 127)(14, 118, 24, 128)(18, 122, 25, 129)(19, 123, 27, 131)(20, 124, 30, 134)(22, 126, 32, 136)(26, 130, 33, 137)(28, 132, 34, 138)(29, 133, 38, 142)(31, 135, 40, 144)(35, 139, 41, 145)(36, 140, 43, 147)(37, 141, 46, 150)(39, 143, 48, 152)(42, 146, 49, 153)(44, 148, 50, 154)(45, 149, 54, 158)(47, 151, 56, 160)(51, 155, 57, 161)(52, 156, 59, 163)(53, 157, 62, 166)(55, 159, 64, 168)(58, 162, 65, 169)(60, 164, 66, 170)(61, 165, 70, 174)(63, 167, 72, 176)(67, 171, 73, 177)(68, 172, 75, 179)(69, 173, 78, 182)(71, 175, 80, 184)(74, 178, 81, 185)(76, 180, 82, 186)(77, 181, 86, 190)(79, 183, 88, 192)(83, 187, 89, 193)(84, 188, 91, 195)(85, 189, 94, 198)(87, 191, 96, 200)(90, 194, 97, 201)(92, 196, 98, 202)(93, 197, 102, 206)(95, 199, 104, 208)(99, 203, 101, 205)(100, 204, 103, 207)
	L = (1, 106)(2, 109)(3, 111)(4, 105)(5, 115)(6, 117)(7, 116)(8, 107)(9, 118)(10, 108)(11, 124)(12, 126)(13, 125)(14, 110)(15, 127)(16, 128)(17, 112)(18, 113)(19, 114)(20, 133)(21, 135)(22, 134)(23, 136)(24, 119)(25, 120)(26, 121)(27, 122)(28, 123)(29, 141)(30, 143)(31, 142)(32, 144)(33, 129)(34, 130)(35, 131)(36, 132)(37, 149)(38, 151)(39, 150)(40, 152)(41, 137)(42, 138)(43, 139)(44, 140)(45, 157)(46, 159)(47, 158)(48, 160)(49, 145)(50, 146)(51, 147)(52, 148)(53, 165)(54, 167)(55, 166)(56, 168)(57, 153)(58, 154)(59, 155)(60, 156)(61, 173)(62, 175)(63, 174)(64, 176)(65, 161)(66, 162)(67, 163)(68, 164)(69, 181)(70, 183)(71, 182)(72, 184)(73, 169)(74, 170)(75, 171)(76, 172)(77, 189)(78, 191)(79, 190)(80, 192)(81, 177)(82, 178)(83, 179)(84, 180)(85, 197)(86, 199)(87, 198)(88, 200)(89, 185)(90, 186)(91, 187)(92, 188)(93, 205)(94, 207)(95, 206)(96, 208)(97, 193)(98, 194)(99, 195)(100, 196)(101, 201)(102, 202)(103, 203)(104, 204)
	local type(s) :: { ( 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1832
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 52 e = 104 f = 6
	degree seq :: [ 4^52 ]

E24.1837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 52})
Quotient :: dipole
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|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, Y2^26, (Y3 * Y2^-1)^52 ]
Map::
	R = (1, 105, 2, 106)(3, 107, 7, 111)(4, 108, 9, 113)(5, 109, 11, 115)(6, 110, 13, 117)(8, 112, 12, 116)(10, 114, 14, 118)(15, 119, 20, 124)(16, 120, 21, 125)(17, 121, 25, 129)(18, 122, 23, 127)(19, 123, 27, 131)(22, 126, 29, 133)(24, 128, 31, 135)(26, 130, 30, 134)(28, 132, 32, 136)(33, 137, 37, 141)(34, 138, 41, 145)(35, 139, 39, 143)(36, 140, 43, 147)(38, 142, 45, 149)(40, 144, 47, 151)(42, 146, 46, 150)(44, 148, 48, 152)(49, 153, 53, 157)(50, 154, 57, 161)(51, 155, 55, 159)(52, 156, 59, 163)(54, 158, 61, 165)(56, 160, 63, 167)(58, 162, 62, 166)(60, 164, 64, 168)(65, 169, 69, 173)(66, 170, 73, 177)(67, 171, 71, 175)(68, 172, 75, 179)(70, 174, 77, 181)(72, 176, 79, 183)(74, 178, 78, 182)(76, 180, 80, 184)(81, 185, 85, 189)(82, 186, 89, 193)(83, 187, 87, 191)(84, 188, 91, 195)(86, 190, 93, 197)(88, 192, 95, 199)(90, 194, 94, 198)(92, 196, 96, 200)(97, 201, 100, 204)(98, 202, 103, 207)(99, 203, 102, 206)(101, 205, 104, 208)(209, 313, 211, 315, 216, 320, 225, 329, 234, 338, 242, 346, 250, 354, 258, 362, 266, 370, 274, 378, 282, 386, 290, 394, 298, 402, 306, 410, 300, 404, 292, 396, 284, 388, 276, 380, 268, 372, 260, 364, 252, 356, 244, 348, 236, 340, 227, 331, 218, 322, 212, 316)(210, 314, 213, 317, 220, 324, 230, 334, 238, 342, 246, 350, 254, 358, 262, 366, 270, 374, 278, 382, 286, 390, 294, 398, 302, 406, 309, 413, 304, 408, 296, 400, 288, 392, 280, 384, 272, 376, 264, 368, 256, 360, 248, 352, 240, 344, 232, 336, 222, 326, 214, 318)(215, 319, 223, 327, 233, 337, 241, 345, 249, 353, 257, 361, 265, 369, 273, 377, 281, 385, 289, 393, 297, 401, 305, 409, 311, 415, 307, 411, 299, 403, 291, 395, 283, 387, 275, 379, 267, 371, 259, 363, 251, 355, 243, 347, 235, 339, 226, 330, 217, 321, 224, 328)(219, 323, 228, 332, 237, 341, 245, 349, 253, 357, 261, 365, 269, 373, 277, 381, 285, 389, 293, 397, 301, 405, 308, 412, 312, 416, 310, 414, 303, 407, 295, 399, 287, 391, 279, 383, 271, 375, 263, 367, 255, 359, 247, 351, 239, 343, 231, 335, 221, 325, 229, 333)
	L = (1, 210)(2, 209)(3, 215)(4, 217)(5, 219)(6, 221)(7, 211)(8, 220)(9, 212)(10, 222)(11, 213)(12, 216)(13, 214)(14, 218)(15, 228)(16, 229)(17, 233)(18, 231)(19, 235)(20, 223)(21, 224)(22, 237)(23, 226)(24, 239)(25, 225)(26, 238)(27, 227)(28, 240)(29, 230)(30, 234)(31, 232)(32, 236)(33, 245)(34, 249)(35, 247)(36, 251)(37, 241)(38, 253)(39, 243)(40, 255)(41, 242)(42, 254)(43, 244)(44, 256)(45, 246)(46, 250)(47, 248)(48, 252)(49, 261)(50, 265)(51, 263)(52, 267)(53, 257)(54, 269)(55, 259)(56, 271)(57, 258)(58, 270)(59, 260)(60, 272)(61, 262)(62, 266)(63, 264)(64, 268)(65, 277)(66, 281)(67, 279)(68, 283)(69, 273)(70, 285)(71, 275)(72, 287)(73, 274)(74, 286)(75, 276)(76, 288)(77, 278)(78, 282)(79, 280)(80, 284)(81, 293)(82, 297)(83, 295)(84, 299)(85, 289)(86, 301)(87, 291)(88, 303)(89, 290)(90, 302)(91, 292)(92, 304)(93, 294)(94, 298)(95, 296)(96, 300)(97, 308)(98, 311)(99, 310)(100, 305)(101, 312)(102, 307)(103, 306)(104, 309)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1840
Graph:: bipartite
	v = 56 e = 208 f = 106
	degree seq :: [ 4^52, 52^4 ]

E24.1838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 52})
Quotient :: dipole
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2^9 * Y1^-1 * Y2^3 * Y1^-11 * Y2^2, Y1^26, Y2^52 ]
Map::
	R = (1, 105, 2, 106, 6, 110, 16, 120, 28, 132, 37, 141, 45, 149, 53, 157, 61, 165, 69, 173, 77, 181, 85, 189, 93, 197, 101, 205, 97, 201, 91, 195, 84, 188, 74, 178, 65, 169, 59, 163, 52, 156, 42, 146, 33, 137, 26, 130, 13, 117, 4, 108)(3, 107, 9, 113, 17, 121, 8, 112, 21, 125, 29, 133, 39, 143, 46, 150, 55, 159, 62, 166, 71, 175, 78, 182, 87, 191, 94, 198, 103, 207, 99, 203, 92, 196, 82, 186, 73, 177, 67, 171, 60, 164, 50, 154, 41, 145, 35, 139, 27, 131, 11, 115)(5, 109, 14, 118, 18, 122, 31, 135, 38, 142, 47, 151, 54, 158, 63, 167, 70, 174, 79, 183, 86, 190, 95, 199, 102, 206, 98, 202, 89, 193, 83, 187, 76, 180, 66, 170, 57, 161, 51, 155, 44, 148, 34, 138, 24, 128, 12, 116, 20, 124, 7, 111)(10, 114, 19, 123, 30, 134, 23, 127, 15, 119, 22, 126, 32, 136, 40, 144, 48, 152, 56, 160, 64, 168, 72, 176, 80, 184, 88, 192, 96, 200, 104, 208, 100, 204, 90, 194, 81, 185, 75, 179, 68, 172, 58, 162, 49, 153, 43, 147, 36, 140, 25, 129)(209, 313, 211, 315, 218, 322, 232, 336, 241, 345, 249, 353, 257, 361, 265, 369, 273, 377, 281, 385, 289, 393, 297, 401, 305, 409, 311, 415, 304, 408, 294, 398, 285, 389, 279, 383, 272, 376, 262, 366, 253, 357, 247, 351, 240, 344, 226, 330, 214, 318, 225, 329, 238, 342, 228, 332, 221, 325, 235, 339, 244, 348, 252, 356, 260, 364, 268, 372, 276, 380, 284, 388, 292, 396, 300, 404, 308, 412, 310, 414, 301, 405, 295, 399, 288, 392, 278, 382, 269, 373, 263, 367, 256, 360, 246, 350, 236, 340, 229, 333, 223, 327, 213, 317)(210, 314, 215, 319, 227, 331, 219, 323, 234, 338, 242, 346, 251, 355, 258, 362, 267, 371, 274, 378, 283, 387, 290, 394, 299, 403, 306, 410, 312, 416, 302, 406, 293, 397, 287, 391, 280, 384, 270, 374, 261, 365, 255, 359, 248, 352, 237, 341, 224, 328, 222, 326, 231, 335, 217, 321, 212, 316, 220, 324, 233, 337, 243, 347, 250, 354, 259, 363, 266, 370, 275, 379, 282, 386, 291, 395, 298, 402, 307, 411, 309, 413, 303, 407, 296, 400, 286, 390, 277, 381, 271, 375, 264, 368, 254, 358, 245, 349, 239, 343, 230, 334, 216, 320)
	L = (1, 211)(2, 215)(3, 218)(4, 220)(5, 209)(6, 225)(7, 227)(8, 210)(9, 212)(10, 232)(11, 234)(12, 233)(13, 235)(14, 231)(15, 213)(16, 222)(17, 238)(18, 214)(19, 219)(20, 221)(21, 223)(22, 216)(23, 217)(24, 241)(25, 243)(26, 242)(27, 244)(28, 229)(29, 224)(30, 228)(31, 230)(32, 226)(33, 249)(34, 251)(35, 250)(36, 252)(37, 239)(38, 236)(39, 240)(40, 237)(41, 257)(42, 259)(43, 258)(44, 260)(45, 247)(46, 245)(47, 248)(48, 246)(49, 265)(50, 267)(51, 266)(52, 268)(53, 255)(54, 253)(55, 256)(56, 254)(57, 273)(58, 275)(59, 274)(60, 276)(61, 263)(62, 261)(63, 264)(64, 262)(65, 281)(66, 283)(67, 282)(68, 284)(69, 271)(70, 269)(71, 272)(72, 270)(73, 289)(74, 291)(75, 290)(76, 292)(77, 279)(78, 277)(79, 280)(80, 278)(81, 297)(82, 299)(83, 298)(84, 300)(85, 287)(86, 285)(87, 288)(88, 286)(89, 305)(90, 307)(91, 306)(92, 308)(93, 295)(94, 293)(95, 296)(96, 294)(97, 311)(98, 312)(99, 309)(100, 310)(101, 303)(102, 301)(103, 304)(104, 302)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.1839
Graph:: bipartite
	v = 6 e = 208 f = 156
	degree seq :: [ 52^4, 104^2 ]

E24.1839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 52})
Quotient :: dipole
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^2 * Y2, (Y3 * Y2 * Y3^-1 * Y2)^2, Y3^25 * Y2 * Y3 * Y2, Y3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^10, (Y3^-1 * Y1^-1)^52 ]
Map:: polytopal
	R = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)(209, 313, 210, 314)(211, 315, 215, 319)(212, 316, 217, 321)(213, 317, 219, 323)(214, 318, 221, 325)(216, 320, 220, 324)(218, 322, 222, 326)(223, 327, 228, 332)(224, 328, 229, 333)(225, 329, 233, 337)(226, 330, 231, 335)(227, 331, 235, 339)(230, 334, 237, 341)(232, 336, 239, 343)(234, 338, 238, 342)(236, 340, 240, 344)(241, 345, 245, 349)(242, 346, 249, 353)(243, 347, 247, 351)(244, 348, 251, 355)(246, 350, 253, 357)(248, 352, 255, 359)(250, 354, 254, 358)(252, 356, 256, 360)(257, 361, 261, 365)(258, 362, 265, 369)(259, 363, 263, 367)(260, 364, 267, 371)(262, 366, 269, 373)(264, 368, 271, 375)(266, 370, 270, 374)(268, 372, 272, 376)(273, 377, 277, 381)(274, 378, 281, 385)(275, 379, 279, 383)(276, 380, 283, 387)(278, 382, 285, 389)(280, 384, 287, 391)(282, 386, 286, 390)(284, 388, 288, 392)(289, 393, 293, 397)(290, 394, 297, 401)(291, 395, 295, 399)(292, 396, 299, 403)(294, 398, 301, 405)(296, 400, 303, 407)(298, 402, 302, 406)(300, 404, 304, 408)(305, 409, 309, 413)(306, 410, 312, 416)(307, 411, 311, 415)(308, 412, 310, 414)
	L = (1, 211)(2, 213)(3, 216)(4, 209)(5, 220)(6, 210)(7, 223)(8, 225)(9, 224)(10, 212)(11, 228)(12, 230)(13, 229)(14, 214)(15, 233)(16, 215)(17, 234)(18, 217)(19, 218)(20, 237)(21, 219)(22, 238)(23, 221)(24, 222)(25, 241)(26, 242)(27, 226)(28, 227)(29, 245)(30, 246)(31, 231)(32, 232)(33, 249)(34, 250)(35, 235)(36, 236)(37, 253)(38, 254)(39, 239)(40, 240)(41, 257)(42, 258)(43, 243)(44, 244)(45, 261)(46, 262)(47, 247)(48, 248)(49, 265)(50, 266)(51, 251)(52, 252)(53, 269)(54, 270)(55, 255)(56, 256)(57, 273)(58, 274)(59, 259)(60, 260)(61, 277)(62, 278)(63, 263)(64, 264)(65, 281)(66, 282)(67, 267)(68, 268)(69, 285)(70, 286)(71, 271)(72, 272)(73, 289)(74, 290)(75, 275)(76, 276)(77, 293)(78, 294)(79, 279)(80, 280)(81, 297)(82, 298)(83, 283)(84, 284)(85, 301)(86, 302)(87, 287)(88, 288)(89, 305)(90, 306)(91, 291)(92, 292)(93, 309)(94, 310)(95, 295)(96, 296)(97, 312)(98, 311)(99, 299)(100, 300)(101, 308)(102, 307)(103, 303)(104, 304)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 52, 104 ), ( 52, 104, 52, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1838
Graph:: simple bipartite
	v = 156 e = 208 f = 6
	degree seq :: [ 2^104, 4^52 ]

E24.1840 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 52})
Quotient :: dipole
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-24, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 105, 2, 106, 5, 109, 11, 115, 20, 124, 29, 133, 37, 141, 45, 149, 53, 157, 61, 165, 69, 173, 77, 181, 85, 189, 93, 197, 101, 205, 97, 201, 89, 193, 81, 185, 73, 177, 65, 169, 57, 161, 49, 153, 41, 145, 33, 137, 25, 129, 16, 120, 24, 128, 15, 119, 23, 127, 32, 136, 40, 144, 48, 152, 56, 160, 64, 168, 72, 176, 80, 184, 88, 192, 96, 200, 104, 208, 100, 204, 92, 196, 84, 188, 76, 180, 68, 172, 60, 164, 52, 156, 44, 148, 36, 140, 28, 132, 19, 123, 10, 114, 4, 108)(3, 107, 7, 111, 12, 116, 22, 126, 30, 134, 39, 143, 46, 150, 55, 159, 62, 166, 71, 175, 78, 182, 87, 191, 94, 198, 103, 207, 99, 203, 91, 195, 83, 187, 75, 179, 67, 171, 59, 163, 51, 155, 43, 147, 35, 139, 27, 131, 18, 122, 9, 113, 14, 118, 6, 110, 13, 117, 21, 125, 31, 135, 38, 142, 47, 151, 54, 158, 63, 167, 70, 174, 79, 183, 86, 190, 95, 199, 102, 206, 98, 202, 90, 194, 82, 186, 74, 178, 66, 170, 58, 162, 50, 154, 42, 146, 34, 138, 26, 130, 17, 121, 8, 112)(209, 313)(210, 314)(211, 315)(212, 316)(213, 317)(214, 318)(215, 319)(216, 320)(217, 321)(218, 322)(219, 323)(220, 324)(221, 325)(222, 326)(223, 327)(224, 328)(225, 329)(226, 330)(227, 331)(228, 332)(229, 333)(230, 334)(231, 335)(232, 336)(233, 337)(234, 338)(235, 339)(236, 340)(237, 341)(238, 342)(239, 343)(240, 344)(241, 345)(242, 346)(243, 347)(244, 348)(245, 349)(246, 350)(247, 351)(248, 352)(249, 353)(250, 354)(251, 355)(252, 356)(253, 357)(254, 358)(255, 359)(256, 360)(257, 361)(258, 362)(259, 363)(260, 364)(261, 365)(262, 366)(263, 367)(264, 368)(265, 369)(266, 370)(267, 371)(268, 372)(269, 373)(270, 374)(271, 375)(272, 376)(273, 377)(274, 378)(275, 379)(276, 380)(277, 381)(278, 382)(279, 383)(280, 384)(281, 385)(282, 386)(283, 387)(284, 388)(285, 389)(286, 390)(287, 391)(288, 392)(289, 393)(290, 394)(291, 395)(292, 396)(293, 397)(294, 398)(295, 399)(296, 400)(297, 401)(298, 402)(299, 403)(300, 404)(301, 405)(302, 406)(303, 407)(304, 408)(305, 409)(306, 410)(307, 411)(308, 412)(309, 413)(310, 414)(311, 415)(312, 416)
	L = (1, 211)(2, 214)(3, 209)(4, 217)(5, 220)(6, 210)(7, 223)(8, 224)(9, 212)(10, 225)(11, 229)(12, 213)(13, 231)(14, 232)(15, 215)(16, 216)(17, 218)(18, 233)(19, 235)(20, 238)(21, 219)(22, 240)(23, 221)(24, 222)(25, 226)(26, 241)(27, 227)(28, 242)(29, 246)(30, 228)(31, 248)(32, 230)(33, 234)(34, 236)(35, 249)(36, 251)(37, 254)(38, 237)(39, 256)(40, 239)(41, 243)(42, 257)(43, 244)(44, 258)(45, 262)(46, 245)(47, 264)(48, 247)(49, 250)(50, 252)(51, 265)(52, 267)(53, 270)(54, 253)(55, 272)(56, 255)(57, 259)(58, 273)(59, 260)(60, 274)(61, 278)(62, 261)(63, 280)(64, 263)(65, 266)(66, 268)(67, 281)(68, 283)(69, 286)(70, 269)(71, 288)(72, 271)(73, 275)(74, 289)(75, 276)(76, 290)(77, 294)(78, 277)(79, 296)(80, 279)(81, 282)(82, 284)(83, 297)(84, 299)(85, 302)(86, 285)(87, 304)(88, 287)(89, 291)(90, 305)(91, 292)(92, 306)(93, 310)(94, 293)(95, 312)(96, 295)(97, 298)(98, 300)(99, 309)(100, 311)(101, 307)(102, 301)(103, 308)(104, 303)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1837
Graph:: simple bipartite
	v = 106 e = 208 f = 56
	degree seq :: [ 2^104, 104^2 ]

E24.1841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 52})
Quotient :: dipole
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|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, Y2^21 * Y1 * Y2^3 * Y1 * Y2^2, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 105, 2, 106)(3, 107, 7, 111)(4, 108, 9, 113)(5, 109, 11, 115)(6, 110, 13, 117)(8, 112, 12, 116)(10, 114, 14, 118)(15, 119, 20, 124)(16, 120, 21, 125)(17, 121, 25, 129)(18, 122, 23, 127)(19, 123, 27, 131)(22, 126, 29, 133)(24, 128, 31, 135)(26, 130, 30, 134)(28, 132, 32, 136)(33, 137, 37, 141)(34, 138, 41, 145)(35, 139, 39, 143)(36, 140, 43, 147)(38, 142, 45, 149)(40, 144, 47, 151)(42, 146, 46, 150)(44, 148, 48, 152)(49, 153, 53, 157)(50, 154, 57, 161)(51, 155, 55, 159)(52, 156, 59, 163)(54, 158, 61, 165)(56, 160, 63, 167)(58, 162, 62, 166)(60, 164, 64, 168)(65, 169, 69, 173)(66, 170, 73, 177)(67, 171, 71, 175)(68, 172, 75, 179)(70, 174, 77, 181)(72, 176, 79, 183)(74, 178, 78, 182)(76, 180, 80, 184)(81, 185, 85, 189)(82, 186, 89, 193)(83, 187, 87, 191)(84, 188, 91, 195)(86, 190, 93, 197)(88, 192, 95, 199)(90, 194, 94, 198)(92, 196, 96, 200)(97, 201, 101, 205)(98, 202, 104, 208)(99, 203, 103, 207)(100, 204, 102, 206)(209, 313, 211, 315, 216, 320, 225, 329, 234, 338, 242, 346, 250, 354, 258, 362, 266, 370, 274, 378, 282, 386, 290, 394, 298, 402, 306, 410, 311, 415, 303, 407, 295, 399, 287, 391, 279, 383, 271, 375, 263, 367, 255, 359, 247, 351, 239, 343, 231, 335, 221, 325, 229, 333, 219, 323, 228, 332, 237, 341, 245, 349, 253, 357, 261, 365, 269, 373, 277, 381, 285, 389, 293, 397, 301, 405, 309, 413, 308, 412, 300, 404, 292, 396, 284, 388, 276, 380, 268, 372, 260, 364, 252, 356, 244, 348, 236, 340, 227, 331, 218, 322, 212, 316)(210, 314, 213, 317, 220, 324, 230, 334, 238, 342, 246, 350, 254, 358, 262, 366, 270, 374, 278, 382, 286, 390, 294, 398, 302, 406, 310, 414, 307, 411, 299, 403, 291, 395, 283, 387, 275, 379, 267, 371, 259, 363, 251, 355, 243, 347, 235, 339, 226, 330, 217, 321, 224, 328, 215, 319, 223, 327, 233, 337, 241, 345, 249, 353, 257, 361, 265, 369, 273, 377, 281, 385, 289, 393, 297, 401, 305, 409, 312, 416, 304, 408, 296, 400, 288, 392, 280, 384, 272, 376, 264, 368, 256, 360, 248, 352, 240, 344, 232, 336, 222, 326, 214, 318)
	L = (1, 210)(2, 209)(3, 215)(4, 217)(5, 219)(6, 221)(7, 211)(8, 220)(9, 212)(10, 222)(11, 213)(12, 216)(13, 214)(14, 218)(15, 228)(16, 229)(17, 233)(18, 231)(19, 235)(20, 223)(21, 224)(22, 237)(23, 226)(24, 239)(25, 225)(26, 238)(27, 227)(28, 240)(29, 230)(30, 234)(31, 232)(32, 236)(33, 245)(34, 249)(35, 247)(36, 251)(37, 241)(38, 253)(39, 243)(40, 255)(41, 242)(42, 254)(43, 244)(44, 256)(45, 246)(46, 250)(47, 248)(48, 252)(49, 261)(50, 265)(51, 263)(52, 267)(53, 257)(54, 269)(55, 259)(56, 271)(57, 258)(58, 270)(59, 260)(60, 272)(61, 262)(62, 266)(63, 264)(64, 268)(65, 277)(66, 281)(67, 279)(68, 283)(69, 273)(70, 285)(71, 275)(72, 287)(73, 274)(74, 286)(75, 276)(76, 288)(77, 278)(78, 282)(79, 280)(80, 284)(81, 293)(82, 297)(83, 295)(84, 299)(85, 289)(86, 301)(87, 291)(88, 303)(89, 290)(90, 302)(91, 292)(92, 304)(93, 294)(94, 298)(95, 296)(96, 300)(97, 309)(98, 312)(99, 311)(100, 310)(101, 305)(102, 308)(103, 307)(104, 306)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 2, 52, 2, 52 ), ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1842
Graph:: bipartite
	v = 54 e = 208 f = 108
	degree seq :: [ 4^52, 104^2 ]

E24.1842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 52})
Quotient :: dipole
Aut^+ = C13 x D8 (small group id <104, 10>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3^-1 * Y1 * Y3^-1 * Y1^23, (Y3 * Y2^-1)^52 ]
Map::
	R = (1, 105, 2, 106, 6, 110, 16, 120, 28, 132, 37, 141, 45, 149, 53, 157, 61, 165, 69, 173, 77, 181, 85, 189, 93, 197, 101, 205, 97, 201, 91, 195, 84, 188, 74, 178, 65, 169, 59, 163, 52, 156, 42, 146, 33, 137, 26, 130, 13, 117, 4, 108)(3, 107, 9, 113, 17, 121, 8, 112, 21, 125, 29, 133, 39, 143, 46, 150, 55, 159, 62, 166, 71, 175, 78, 182, 87, 191, 94, 198, 103, 207, 99, 203, 92, 196, 82, 186, 73, 177, 67, 171, 60, 164, 50, 154, 41, 145, 35, 139, 27, 131, 11, 115)(5, 109, 14, 118, 18, 122, 31, 135, 38, 142, 47, 151, 54, 158, 63, 167, 70, 174, 79, 183, 86, 190, 95, 199, 102, 206, 98, 202, 89, 193, 83, 187, 76, 180, 66, 170, 57, 161, 51, 155, 44, 148, 34, 138, 24, 128, 12, 116, 20, 124, 7, 111)(10, 114, 19, 123, 30, 134, 23, 127, 15, 119, 22, 126, 32, 136, 40, 144, 48, 152, 56, 160, 64, 168, 72, 176, 80, 184, 88, 192, 96, 200, 104, 208, 100, 204, 90, 194, 81, 185, 75, 179, 68, 172, 58, 162, 49, 153, 43, 147, 36, 140, 25, 129)(209, 313)(210, 314)(211, 315)(212, 316)(213, 317)(214, 318)(215, 319)(216, 320)(217, 321)(218, 322)(219, 323)(220, 324)(221, 325)(222, 326)(223, 327)(224, 328)(225, 329)(226, 330)(227, 331)(228, 332)(229, 333)(230, 334)(231, 335)(232, 336)(233, 337)(234, 338)(235, 339)(236, 340)(237, 341)(238, 342)(239, 343)(240, 344)(241, 345)(242, 346)(243, 347)(244, 348)(245, 349)(246, 350)(247, 351)(248, 352)(249, 353)(250, 354)(251, 355)(252, 356)(253, 357)(254, 358)(255, 359)(256, 360)(257, 361)(258, 362)(259, 363)(260, 364)(261, 365)(262, 366)(263, 367)(264, 368)(265, 369)(266, 370)(267, 371)(268, 372)(269, 373)(270, 374)(271, 375)(272, 376)(273, 377)(274, 378)(275, 379)(276, 380)(277, 381)(278, 382)(279, 383)(280, 384)(281, 385)(282, 386)(283, 387)(284, 388)(285, 389)(286, 390)(287, 391)(288, 392)(289, 393)(290, 394)(291, 395)(292, 396)(293, 397)(294, 398)(295, 399)(296, 400)(297, 401)(298, 402)(299, 403)(300, 404)(301, 405)(302, 406)(303, 407)(304, 408)(305, 409)(306, 410)(307, 411)(308, 412)(309, 413)(310, 414)(311, 415)(312, 416)
	L = (1, 211)(2, 215)(3, 218)(4, 220)(5, 209)(6, 225)(7, 227)(8, 210)(9, 212)(10, 232)(11, 234)(12, 233)(13, 235)(14, 231)(15, 213)(16, 222)(17, 238)(18, 214)(19, 219)(20, 221)(21, 223)(22, 216)(23, 217)(24, 241)(25, 243)(26, 242)(27, 244)(28, 229)(29, 224)(30, 228)(31, 230)(32, 226)(33, 249)(34, 251)(35, 250)(36, 252)(37, 239)(38, 236)(39, 240)(40, 237)(41, 257)(42, 259)(43, 258)(44, 260)(45, 247)(46, 245)(47, 248)(48, 246)(49, 265)(50, 267)(51, 266)(52, 268)(53, 255)(54, 253)(55, 256)(56, 254)(57, 273)(58, 275)(59, 274)(60, 276)(61, 263)(62, 261)(63, 264)(64, 262)(65, 281)(66, 283)(67, 282)(68, 284)(69, 271)(70, 269)(71, 272)(72, 270)(73, 289)(74, 291)(75, 290)(76, 292)(77, 279)(78, 277)(79, 280)(80, 278)(81, 297)(82, 299)(83, 298)(84, 300)(85, 287)(86, 285)(87, 288)(88, 286)(89, 305)(90, 307)(91, 306)(92, 308)(93, 295)(94, 293)(95, 296)(96, 294)(97, 311)(98, 312)(99, 309)(100, 310)(101, 303)(102, 301)(103, 304)(104, 302)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4, 104 ), ( 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104 ) }
Outer automorphisms :: reflexible
Dual of E24.1841
Graph:: simple bipartite
	v = 108 e = 208 f = 54
	degree seq :: [ 2^104, 52^4 ]

E24.1843 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 27, 27})
Quotient :: regular
Aut^+ = (C2 x C2) : C27 (small group id <108, 3>)
Aut   = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
|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, T1^27, T1^-4 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 102, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 10, 4)(3, 7, 15, 24, 33, 42, 48, 57, 66, 72, 81, 90, 96, 104, 106, 99, 91, 83, 75, 67, 59, 51, 43, 35, 27, 18, 8)(6, 13, 26, 32, 41, 50, 56, 65, 74, 80, 89, 98, 103, 108, 101, 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, 97, 105, 107, 100, 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, 96)(89, 90)(91, 92)(94, 99)(95, 103)(97, 98)(100, 101)(102, 107)(104, 105)(106, 108)
	local type(s) :: { ( 27^27 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 54 f = 4
	degree seq :: [ 27^4 ]

E24.1844 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 27, 27})
Quotient :: edge
Aut^+ = (C2 x C2) : C27 (small group id <108, 3>)
Aut   = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
|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, T2^27, T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-3 ]
Map::
	R = (1, 3, 8, 18, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 102, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 10, 4)(2, 5, 12, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 104, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 108, 101, 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, 98, 106, 107, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 123)(122, 128)(124, 127)(126, 131)(130, 132)(133, 134)(135, 141)(136, 137)(138, 144)(139, 142)(140, 145)(143, 150)(146, 153)(147, 149)(148, 152)(151, 155)(154, 156)(157, 158)(159, 165)(160, 161)(162, 168)(163, 166)(164, 169)(167, 174)(170, 177)(171, 173)(172, 176)(175, 179)(178, 180)(181, 182)(183, 189)(184, 185)(186, 192)(187, 190)(188, 193)(191, 198)(194, 201)(195, 197)(196, 200)(199, 203)(202, 204)(205, 206)(207, 213)(208, 209)(210, 215)(211, 214)(212, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 54, 54 ), ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E24.1845
Transitivity :: ET+
Graph:: simple bipartite
	v = 58 e = 108 f = 4
	degree seq :: [ 2^54, 27^4 ]

E24.1845 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 27, 27})
Quotient :: loop
Aut^+ = (C2 x C2) : C27 (small group id <108, 3>)
Aut   = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
|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, T2^27, T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-3 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 27, 135, 35, 143, 43, 151, 51, 159, 59, 167, 67, 175, 75, 183, 83, 191, 91, 199, 99, 207, 102, 210, 94, 202, 86, 194, 78, 186, 70, 178, 62, 170, 54, 162, 46, 154, 38, 146, 30, 138, 22, 130, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 23, 131, 31, 139, 39, 147, 47, 155, 55, 163, 63, 171, 71, 179, 79, 187, 87, 195, 95, 203, 103, 211, 104, 212, 96, 204, 88, 196, 80, 188, 72, 180, 64, 172, 56, 164, 48, 156, 40, 148, 32, 140, 24, 132, 14, 122, 6, 114)(7, 115, 15, 123, 25, 133, 33, 141, 41, 149, 49, 157, 57, 165, 65, 173, 73, 181, 81, 189, 89, 197, 97, 205, 105, 213, 108, 216, 101, 209, 93, 201, 85, 193, 77, 185, 69, 177, 61, 169, 53, 161, 45, 153, 37, 145, 29, 137, 21, 129, 13, 121, 16, 124)(9, 117, 19, 127, 11, 119, 17, 125, 26, 134, 34, 142, 42, 150, 50, 158, 58, 166, 66, 174, 74, 182, 82, 190, 90, 198, 98, 206, 106, 214, 107, 215, 100, 208, 92, 200, 84, 192, 76, 184, 68, 176, 60, 168, 52, 160, 44, 152, 36, 144, 28, 136, 20, 128)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 123)(13, 114)(14, 128)(15, 120)(16, 127)(17, 116)(18, 131)(19, 124)(20, 122)(21, 118)(22, 132)(23, 126)(24, 130)(25, 134)(26, 133)(27, 141)(28, 137)(29, 136)(30, 144)(31, 142)(32, 145)(33, 135)(34, 139)(35, 150)(36, 138)(37, 140)(38, 153)(39, 149)(40, 152)(41, 147)(42, 143)(43, 155)(44, 148)(45, 146)(46, 156)(47, 151)(48, 154)(49, 158)(50, 157)(51, 165)(52, 161)(53, 160)(54, 168)(55, 166)(56, 169)(57, 159)(58, 163)(59, 174)(60, 162)(61, 164)(62, 177)(63, 173)(64, 176)(65, 171)(66, 167)(67, 179)(68, 172)(69, 170)(70, 180)(71, 175)(72, 178)(73, 182)(74, 181)(75, 189)(76, 185)(77, 184)(78, 192)(79, 190)(80, 193)(81, 183)(82, 187)(83, 198)(84, 186)(85, 188)(86, 201)(87, 197)(88, 200)(89, 195)(90, 191)(91, 203)(92, 196)(93, 194)(94, 204)(95, 199)(96, 202)(97, 206)(98, 205)(99, 213)(100, 209)(101, 208)(102, 215)(103, 214)(104, 216)(105, 207)(106, 211)(107, 210)(108, 212)
	local type(s) :: { ( 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27 ) }
Outer automorphisms :: reflexible
Dual of E24.1844
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 108 f = 58
	degree seq :: [ 54^4 ]

E24.1846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 27})
Quotient :: dipole
Aut^+ = (C2 x C2) : C27 (small group id <108, 3>)
Aut   = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
|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, Y2^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 15, 123)(14, 122, 20, 128)(16, 124, 19, 127)(18, 126, 23, 131)(22, 130, 24, 132)(25, 133, 26, 134)(27, 135, 33, 141)(28, 136, 29, 137)(30, 138, 36, 144)(31, 139, 34, 142)(32, 140, 37, 145)(35, 143, 42, 150)(38, 146, 45, 153)(39, 147, 41, 149)(40, 148, 44, 152)(43, 151, 47, 155)(46, 154, 48, 156)(49, 157, 50, 158)(51, 159, 57, 165)(52, 160, 53, 161)(54, 162, 60, 168)(55, 163, 58, 166)(56, 164, 61, 169)(59, 167, 66, 174)(62, 170, 69, 177)(63, 171, 65, 173)(64, 172, 68, 176)(67, 175, 71, 179)(70, 178, 72, 180)(73, 181, 74, 182)(75, 183, 81, 189)(76, 184, 77, 185)(78, 186, 84, 192)(79, 187, 82, 190)(80, 188, 85, 193)(83, 191, 90, 198)(86, 194, 93, 201)(87, 195, 89, 197)(88, 196, 92, 200)(91, 199, 95, 203)(94, 202, 96, 204)(97, 205, 98, 206)(99, 207, 105, 213)(100, 208, 101, 209)(102, 210, 107, 215)(103, 211, 106, 214)(104, 212, 108, 216)(217, 325, 219, 327, 224, 332, 234, 342, 243, 351, 251, 359, 259, 367, 267, 375, 275, 383, 283, 391, 291, 399, 299, 407, 307, 415, 315, 423, 318, 426, 310, 418, 302, 410, 294, 402, 286, 394, 278, 386, 270, 378, 262, 370, 254, 362, 246, 354, 238, 346, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 239, 347, 247, 355, 255, 363, 263, 371, 271, 379, 279, 387, 287, 395, 295, 403, 303, 411, 311, 419, 319, 427, 320, 428, 312, 420, 304, 412, 296, 404, 288, 396, 280, 388, 272, 380, 264, 372, 256, 364, 248, 356, 240, 348, 230, 338, 222, 330)(223, 331, 231, 339, 241, 349, 249, 357, 257, 365, 265, 373, 273, 381, 281, 389, 289, 397, 297, 405, 305, 413, 313, 421, 321, 429, 324, 432, 317, 425, 309, 417, 301, 409, 293, 401, 285, 393, 277, 385, 269, 377, 261, 369, 253, 361, 245, 353, 237, 345, 229, 337, 232, 340)(225, 333, 235, 343, 227, 335, 233, 341, 242, 350, 250, 358, 258, 366, 266, 374, 274, 382, 282, 390, 290, 398, 298, 406, 306, 414, 314, 422, 322, 430, 323, 431, 316, 424, 308, 416, 300, 408, 292, 400, 284, 392, 276, 384, 268, 376, 260, 368, 252, 360, 244, 352, 236, 344)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 231)(13, 222)(14, 236)(15, 228)(16, 235)(17, 224)(18, 239)(19, 232)(20, 230)(21, 226)(22, 240)(23, 234)(24, 238)(25, 242)(26, 241)(27, 249)(28, 245)(29, 244)(30, 252)(31, 250)(32, 253)(33, 243)(34, 247)(35, 258)(36, 246)(37, 248)(38, 261)(39, 257)(40, 260)(41, 255)(42, 251)(43, 263)(44, 256)(45, 254)(46, 264)(47, 259)(48, 262)(49, 266)(50, 265)(51, 273)(52, 269)(53, 268)(54, 276)(55, 274)(56, 277)(57, 267)(58, 271)(59, 282)(60, 270)(61, 272)(62, 285)(63, 281)(64, 284)(65, 279)(66, 275)(67, 287)(68, 280)(69, 278)(70, 288)(71, 283)(72, 286)(73, 290)(74, 289)(75, 297)(76, 293)(77, 292)(78, 300)(79, 298)(80, 301)(81, 291)(82, 295)(83, 306)(84, 294)(85, 296)(86, 309)(87, 305)(88, 308)(89, 303)(90, 299)(91, 311)(92, 304)(93, 302)(94, 312)(95, 307)(96, 310)(97, 314)(98, 313)(99, 321)(100, 317)(101, 316)(102, 323)(103, 322)(104, 324)(105, 315)(106, 319)(107, 318)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 54, 2, 54 ), ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1847
Graph:: bipartite
	v = 58 e = 216 f = 112
	degree seq :: [ 4^54, 54^4 ]

E24.1847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 27})
Quotient :: dipole
Aut^+ = (C2 x C2) : C27 (small group id <108, 3>)
Aut   = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
|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, Y1^27, Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-3 ]
Map::
	R = (1, 109, 2, 110, 5, 113, 11, 119, 23, 131, 31, 139, 39, 147, 47, 155, 55, 163, 63, 171, 71, 179, 79, 187, 87, 195, 95, 203, 102, 210, 94, 202, 86, 194, 78, 186, 70, 178, 62, 170, 54, 162, 46, 154, 38, 146, 30, 138, 22, 130, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 24, 132, 33, 141, 42, 150, 48, 156, 57, 165, 66, 174, 72, 180, 81, 189, 90, 198, 96, 204, 104, 212, 106, 214, 99, 207, 91, 199, 83, 191, 75, 183, 67, 175, 59, 167, 51, 159, 43, 151, 35, 143, 27, 135, 18, 126, 8, 116)(6, 114, 13, 121, 26, 134, 32, 140, 41, 149, 50, 158, 56, 164, 65, 173, 74, 182, 80, 188, 89, 197, 98, 206, 103, 211, 108, 216, 101, 209, 93, 201, 85, 193, 77, 185, 69, 177, 61, 169, 53, 161, 45, 153, 37, 145, 29, 137, 21, 129, 17, 125, 14, 122)(9, 117, 19, 127, 16, 124, 12, 120, 25, 133, 34, 142, 40, 148, 49, 157, 58, 166, 64, 172, 73, 181, 82, 190, 88, 196, 97, 205, 105, 213, 107, 215, 100, 208, 92, 200, 84, 192, 76, 184, 68, 176, 60, 168, 52, 160, 44, 152, 36, 144, 28, 136, 20, 128)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 240)(12, 221)(13, 231)(14, 235)(15, 229)(16, 223)(17, 224)(18, 236)(19, 230)(20, 234)(21, 226)(22, 243)(23, 248)(24, 227)(25, 242)(26, 241)(27, 238)(28, 245)(29, 244)(30, 252)(31, 256)(32, 239)(33, 250)(34, 249)(35, 253)(36, 246)(37, 251)(38, 261)(39, 264)(40, 247)(41, 258)(42, 257)(43, 260)(44, 259)(45, 254)(46, 267)(47, 272)(48, 255)(49, 266)(50, 265)(51, 262)(52, 269)(53, 268)(54, 276)(55, 280)(56, 263)(57, 274)(58, 273)(59, 277)(60, 270)(61, 275)(62, 285)(63, 288)(64, 271)(65, 282)(66, 281)(67, 284)(68, 283)(69, 278)(70, 291)(71, 296)(72, 279)(73, 290)(74, 289)(75, 286)(76, 293)(77, 292)(78, 300)(79, 304)(80, 287)(81, 298)(82, 297)(83, 301)(84, 294)(85, 299)(86, 309)(87, 312)(88, 295)(89, 306)(90, 305)(91, 308)(92, 307)(93, 302)(94, 315)(95, 319)(96, 303)(97, 314)(98, 313)(99, 310)(100, 317)(101, 316)(102, 323)(103, 311)(104, 321)(105, 320)(106, 324)(107, 318)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.1846
Graph:: simple bipartite
	v = 112 e = 216 f = 58
	degree seq :: [ 2^108, 54^4 ]

E24.1848 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 14, 56})
Quotient :: regular
Aut^+ = C7 x D16 (small group id <112, 24>)
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 * T2 * T1^4, (T2 * T1^-2 * T2 * T1^2)^2, (T1^-3 * T2 * T1^-4)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 85, 101, 95, 79, 60, 76, 57, 33, 16, 28, 48, 70, 89, 105, 111, 110, 94, 78, 59, 35, 53, 74, 56, 32, 52, 73, 91, 107, 112, 109, 93, 77, 58, 34, 17, 29, 49, 71, 55, 75, 92, 108, 100, 84, 65, 42, 22, 10, 4)(3, 7, 15, 31, 44, 68, 88, 106, 99, 83, 64, 41, 54, 30, 14, 6, 13, 27, 51, 67, 87, 104, 98, 82, 63, 40, 21, 39, 50, 26, 12, 25, 47, 72, 86, 103, 97, 81, 62, 38, 20, 9, 19, 37, 46, 24, 45, 69, 90, 102, 96, 80, 61, 36, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 61)(43, 67)(45, 70)(46, 71)(47, 73)(50, 74)(51, 75)(54, 76)(62, 79)(63, 78)(64, 77)(65, 81)(66, 86)(68, 89)(69, 91)(72, 92)(80, 93)(82, 95)(83, 94)(84, 98)(85, 102)(87, 105)(88, 107)(90, 108)(96, 110)(97, 109)(99, 101)(100, 106)(103, 111)(104, 112)
	local type(s) :: { ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1849
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 56 f = 8
	degree seq :: [ 56^2 ]

E24.1849 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 14, 56})
Quotient :: regular
Aut^+ = C7 x D16 (small group id <112, 24>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^14, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 86, 81, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 85, 84, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 88, 100, 97, 80, 59, 42, 27, 16, 26)(23, 36, 50, 69, 87, 101, 99, 83, 62, 44, 29, 38, 24, 37)(39, 55, 70, 90, 102, 109, 106, 96, 79, 58, 41, 57, 40, 56)(52, 71, 89, 103, 108, 107, 98, 82, 61, 74, 54, 73, 53, 72)(75, 91, 104, 110, 112, 111, 105, 95, 78, 94, 77, 93, 76, 92)
	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, 85)(67, 87)(69, 89)(71, 91)(72, 92)(73, 93)(74, 94)(82, 95)(83, 98)(84, 99)(86, 100)(88, 102)(90, 104)(96, 105)(97, 106)(101, 108)(103, 110)(107, 111)(109, 112)
	local type(s) :: { ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1848
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 56 f = 2
	degree seq :: [ 14^8 ]

E24.1850 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 56})
Quotient :: edge
Aut^+ = C7 x D16 (small group id <112, 24>)
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, T2^14, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-5 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 81, 64, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 70, 91, 74, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 79, 97, 84, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 68, 89, 102, 94, 73, 53, 37, 23, 13, 21)(25, 39, 56, 77, 96, 106, 99, 83, 62, 44, 29, 42, 27, 40)(32, 47, 66, 87, 101, 109, 104, 93, 72, 52, 36, 50, 34, 48)(55, 75, 95, 105, 111, 107, 98, 82, 61, 80, 59, 78, 57, 76)(65, 85, 100, 108, 112, 110, 103, 92, 71, 90, 69, 88, 67, 86)(113, 114)(115, 119)(116, 121)(117, 123)(118, 125)(120, 124)(122, 126)(127, 137)(128, 139)(129, 138)(130, 141)(131, 142)(132, 144)(133, 146)(134, 145)(135, 148)(136, 149)(140, 147)(143, 150)(151, 167)(152, 169)(153, 168)(154, 171)(155, 170)(156, 173)(157, 174)(158, 175)(159, 177)(160, 179)(161, 178)(162, 181)(163, 180)(164, 183)(165, 184)(166, 185)(172, 182)(176, 186)(187, 197)(188, 198)(189, 207)(190, 200)(191, 208)(192, 202)(193, 209)(194, 204)(195, 210)(196, 211)(199, 212)(201, 213)(203, 214)(205, 215)(206, 216)(217, 220)(218, 223)(219, 222)(221, 224)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 112, 112 ), ( 112^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1854
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 112 f = 2
	degree seq :: [ 2^56, 14^8 ]

E24.1851 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 56})
Quotient :: edge
Aut^+ = C7 x D16 (small group id <112, 24>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1^-3 * T2^-1 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T2^-1 * T1 * T2^-1 * T1^11, T2^3 * T1^-2 * T2^5 * T1^-4, T1^-1 * T2^3 * T1^-1 * T2^51 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 78, 97, 106, 86, 62, 43, 72, 95, 67, 39, 20, 13, 28, 51, 81, 100, 110, 89, 61, 34, 21, 42, 71, 96, 68, 41, 30, 53, 83, 102, 111, 94, 66, 38, 18, 6, 17, 36, 64, 92, 70, 55, 85, 104, 107, 90, 73, 59, 33, 15, 5)(2, 7, 19, 40, 69, 49, 80, 101, 105, 88, 65, 58, 75, 45, 23, 9, 4, 12, 29, 54, 79, 99, 108, 87, 60, 37, 32, 57, 76, 46, 24, 11, 27, 52, 84, 98, 112, 91, 63, 35, 16, 14, 31, 56, 77, 47, 26, 50, 82, 103, 109, 93, 74, 44, 22, 8)(113, 114, 118, 128, 146, 172, 198, 217, 216, 194, 165, 139, 125, 116)(115, 121, 129, 120, 133, 147, 174, 199, 219, 213, 195, 162, 140, 123)(117, 126, 130, 149, 173, 200, 218, 215, 197, 164, 142, 124, 132, 119)(122, 136, 148, 135, 154, 134, 155, 175, 202, 220, 214, 192, 163, 138)(127, 144, 150, 177, 201, 221, 209, 196, 167, 141, 153, 131, 151, 143)(137, 159, 176, 158, 183, 157, 184, 156, 185, 203, 223, 211, 193, 161)(145, 170, 178, 205, 222, 210, 190, 166, 182, 152, 180, 168, 179, 169)(160, 181, 204, 189, 208, 188, 207, 187, 171, 186, 206, 224, 212, 191)
	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 ), ( 4^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1855
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 112 f = 56
	degree seq :: [ 14^8, 56^2 ]

E24.1852 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 56})
Quotient :: edge
Aut^+ = C7 x D16 (small group id <112, 24>)
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, T1^-4 * T2 * T1^4 * T2, (T2 * T1^-2 * T2 * T1^2)^2, (T1^-3 * T2 * T1^-4)^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, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 61)(43, 67)(45, 70)(46, 71)(47, 73)(50, 74)(51, 75)(54, 76)(62, 79)(63, 78)(64, 77)(65, 81)(66, 86)(68, 89)(69, 91)(72, 92)(80, 93)(82, 95)(83, 94)(84, 98)(85, 102)(87, 105)(88, 107)(90, 108)(96, 110)(97, 109)(99, 101)(100, 106)(103, 111)(104, 112)(113, 114, 117, 123, 135, 155, 178, 197, 213, 207, 191, 172, 188, 169, 145, 128, 140, 160, 182, 201, 217, 223, 222, 206, 190, 171, 147, 165, 186, 168, 144, 164, 185, 203, 219, 224, 221, 205, 189, 170, 146, 129, 141, 161, 183, 167, 187, 204, 220, 212, 196, 177, 154, 134, 122, 116)(115, 119, 127, 143, 156, 180, 200, 218, 211, 195, 176, 153, 166, 142, 126, 118, 125, 139, 163, 179, 199, 216, 210, 194, 175, 152, 133, 151, 162, 138, 124, 137, 159, 184, 198, 215, 209, 193, 174, 150, 132, 121, 131, 149, 158, 136, 157, 181, 202, 214, 208, 192, 173, 148, 130, 120)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 28 ), ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E24.1853
Transitivity :: ET+
Graph:: simple bipartite
	v = 58 e = 112 f = 8
	degree seq :: [ 2^56, 56^2 ]

E24.1853 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 56})
Quotient :: loop
Aut^+ = C7 x D16 (small group id <112, 24>)
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, T2^14, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-5 ]
Map::
	R = (1, 113, 3, 115, 8, 120, 17, 129, 28, 140, 43, 155, 60, 172, 81, 193, 64, 176, 46, 158, 31, 143, 19, 131, 10, 122, 4, 116)(2, 114, 5, 117, 12, 124, 22, 134, 35, 147, 51, 163, 70, 182, 91, 203, 74, 186, 54, 166, 38, 150, 24, 136, 14, 126, 6, 118)(7, 119, 15, 127, 26, 138, 41, 153, 58, 170, 79, 191, 97, 209, 84, 196, 63, 175, 45, 157, 30, 142, 18, 130, 9, 121, 16, 128)(11, 123, 20, 132, 33, 145, 49, 161, 68, 180, 89, 201, 102, 214, 94, 206, 73, 185, 53, 165, 37, 149, 23, 135, 13, 125, 21, 133)(25, 137, 39, 151, 56, 168, 77, 189, 96, 208, 106, 218, 99, 211, 83, 195, 62, 174, 44, 156, 29, 141, 42, 154, 27, 139, 40, 152)(32, 144, 47, 159, 66, 178, 87, 199, 101, 213, 109, 221, 104, 216, 93, 205, 72, 184, 52, 164, 36, 148, 50, 162, 34, 146, 48, 160)(55, 167, 75, 187, 95, 207, 105, 217, 111, 223, 107, 219, 98, 210, 82, 194, 61, 173, 80, 192, 59, 171, 78, 190, 57, 169, 76, 188)(65, 177, 85, 197, 100, 212, 108, 220, 112, 224, 110, 222, 103, 215, 92, 204, 71, 183, 90, 202, 69, 181, 88, 200, 67, 179, 86, 198)
	L = (1, 114)(2, 113)(3, 119)(4, 121)(5, 123)(6, 125)(7, 115)(8, 124)(9, 116)(10, 126)(11, 117)(12, 120)(13, 118)(14, 122)(15, 137)(16, 139)(17, 138)(18, 141)(19, 142)(20, 144)(21, 146)(22, 145)(23, 148)(24, 149)(25, 127)(26, 129)(27, 128)(28, 147)(29, 130)(30, 131)(31, 150)(32, 132)(33, 134)(34, 133)(35, 140)(36, 135)(37, 136)(38, 143)(39, 167)(40, 169)(41, 168)(42, 171)(43, 170)(44, 173)(45, 174)(46, 175)(47, 177)(48, 179)(49, 178)(50, 181)(51, 180)(52, 183)(53, 184)(54, 185)(55, 151)(56, 153)(57, 152)(58, 155)(59, 154)(60, 182)(61, 156)(62, 157)(63, 158)(64, 186)(65, 159)(66, 161)(67, 160)(68, 163)(69, 162)(70, 172)(71, 164)(72, 165)(73, 166)(74, 176)(75, 197)(76, 198)(77, 207)(78, 200)(79, 208)(80, 202)(81, 209)(82, 204)(83, 210)(84, 211)(85, 187)(86, 188)(87, 212)(88, 190)(89, 213)(90, 192)(91, 214)(92, 194)(93, 215)(94, 216)(95, 189)(96, 191)(97, 193)(98, 195)(99, 196)(100, 199)(101, 201)(102, 203)(103, 205)(104, 206)(105, 220)(106, 223)(107, 222)(108, 217)(109, 224)(110, 219)(111, 218)(112, 221)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1852
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 112 f = 58
	degree seq :: [ 28^8 ]

E24.1854 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 56})
Quotient :: loop
Aut^+ = C7 x D16 (small group id <112, 24>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1^-3 * T2^-1 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T2^-1 * T1 * T2^-1 * T1^11, T2^3 * T1^-2 * T2^5 * T1^-4, T1^-1 * T2^3 * T1^-1 * T2^51 ]
Map::
	R = (1, 113, 3, 115, 10, 122, 25, 137, 48, 160, 78, 190, 97, 209, 106, 218, 86, 198, 62, 174, 43, 155, 72, 184, 95, 207, 67, 179, 39, 151, 20, 132, 13, 125, 28, 140, 51, 163, 81, 193, 100, 212, 110, 222, 89, 201, 61, 173, 34, 146, 21, 133, 42, 154, 71, 183, 96, 208, 68, 180, 41, 153, 30, 142, 53, 165, 83, 195, 102, 214, 111, 223, 94, 206, 66, 178, 38, 150, 18, 130, 6, 118, 17, 129, 36, 148, 64, 176, 92, 204, 70, 182, 55, 167, 85, 197, 104, 216, 107, 219, 90, 202, 73, 185, 59, 171, 33, 145, 15, 127, 5, 117)(2, 114, 7, 119, 19, 131, 40, 152, 69, 181, 49, 161, 80, 192, 101, 213, 105, 217, 88, 200, 65, 177, 58, 170, 75, 187, 45, 157, 23, 135, 9, 121, 4, 116, 12, 124, 29, 141, 54, 166, 79, 191, 99, 211, 108, 220, 87, 199, 60, 172, 37, 149, 32, 144, 57, 169, 76, 188, 46, 158, 24, 136, 11, 123, 27, 139, 52, 164, 84, 196, 98, 210, 112, 224, 91, 203, 63, 175, 35, 147, 16, 128, 14, 126, 31, 143, 56, 168, 77, 189, 47, 159, 26, 138, 50, 162, 82, 194, 103, 215, 109, 221, 93, 205, 74, 186, 44, 156, 22, 134, 8, 120)
	L = (1, 114)(2, 118)(3, 121)(4, 113)(5, 126)(6, 128)(7, 117)(8, 133)(9, 129)(10, 136)(11, 115)(12, 132)(13, 116)(14, 130)(15, 144)(16, 146)(17, 120)(18, 149)(19, 151)(20, 119)(21, 147)(22, 155)(23, 154)(24, 148)(25, 159)(26, 122)(27, 125)(28, 123)(29, 153)(30, 124)(31, 127)(32, 150)(33, 170)(34, 172)(35, 174)(36, 135)(37, 173)(38, 177)(39, 143)(40, 180)(41, 131)(42, 134)(43, 175)(44, 185)(45, 184)(46, 183)(47, 176)(48, 181)(49, 137)(50, 140)(51, 138)(52, 142)(53, 139)(54, 182)(55, 141)(56, 179)(57, 145)(58, 178)(59, 186)(60, 198)(61, 200)(62, 199)(63, 202)(64, 158)(65, 201)(66, 205)(67, 169)(68, 168)(69, 204)(70, 152)(71, 157)(72, 156)(73, 203)(74, 206)(75, 171)(76, 207)(77, 208)(78, 166)(79, 160)(80, 163)(81, 161)(82, 165)(83, 162)(84, 167)(85, 164)(86, 217)(87, 219)(88, 218)(89, 221)(90, 220)(91, 223)(92, 189)(93, 222)(94, 224)(95, 187)(96, 188)(97, 196)(98, 190)(99, 193)(100, 191)(101, 195)(102, 192)(103, 197)(104, 194)(105, 216)(106, 215)(107, 213)(108, 214)(109, 209)(110, 210)(111, 211)(112, 212)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1850
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 112 f = 64
	degree seq :: [ 112^2 ]

E24.1855 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 56})
Quotient :: loop
Aut^+ = C7 x D16 (small group id <112, 24>)
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, T1^-4 * T2 * T1^4 * T2, (T2 * T1^-2 * T2 * T1^2)^2, (T1^-3 * T2 * T1^-4)^2 ]
Map:: polytopal non-degenerate
	R = (1, 113, 3, 115)(2, 114, 6, 118)(4, 116, 9, 121)(5, 117, 12, 124)(7, 119, 16, 128)(8, 120, 17, 129)(10, 122, 21, 133)(11, 123, 24, 136)(13, 125, 28, 140)(14, 126, 29, 141)(15, 127, 32, 144)(18, 130, 35, 147)(19, 131, 33, 145)(20, 132, 34, 146)(22, 134, 41, 153)(23, 135, 44, 156)(25, 137, 48, 160)(26, 138, 49, 161)(27, 139, 52, 164)(30, 142, 53, 165)(31, 143, 55, 167)(36, 148, 60, 172)(37, 149, 56, 168)(38, 150, 59, 171)(39, 151, 57, 169)(40, 152, 58, 170)(42, 154, 61, 173)(43, 155, 67, 179)(45, 157, 70, 182)(46, 158, 71, 183)(47, 159, 73, 185)(50, 162, 74, 186)(51, 163, 75, 187)(54, 166, 76, 188)(62, 174, 79, 191)(63, 175, 78, 190)(64, 176, 77, 189)(65, 177, 81, 193)(66, 178, 86, 198)(68, 180, 89, 201)(69, 181, 91, 203)(72, 184, 92, 204)(80, 192, 93, 205)(82, 194, 95, 207)(83, 195, 94, 206)(84, 196, 98, 210)(85, 197, 102, 214)(87, 199, 105, 217)(88, 200, 107, 219)(90, 202, 108, 220)(96, 208, 110, 222)(97, 209, 109, 221)(99, 211, 101, 213)(100, 212, 106, 218)(103, 215, 111, 223)(104, 216, 112, 224)
	L = (1, 114)(2, 117)(3, 119)(4, 113)(5, 123)(6, 125)(7, 127)(8, 115)(9, 131)(10, 116)(11, 135)(12, 137)(13, 139)(14, 118)(15, 143)(16, 140)(17, 141)(18, 120)(19, 149)(20, 121)(21, 151)(22, 122)(23, 155)(24, 157)(25, 159)(26, 124)(27, 163)(28, 160)(29, 161)(30, 126)(31, 156)(32, 164)(33, 128)(34, 129)(35, 165)(36, 130)(37, 158)(38, 132)(39, 162)(40, 133)(41, 166)(42, 134)(43, 178)(44, 180)(45, 181)(46, 136)(47, 184)(48, 182)(49, 183)(50, 138)(51, 179)(52, 185)(53, 186)(54, 142)(55, 187)(56, 144)(57, 145)(58, 146)(59, 147)(60, 188)(61, 148)(62, 150)(63, 152)(64, 153)(65, 154)(66, 197)(67, 199)(68, 200)(69, 202)(70, 201)(71, 167)(72, 198)(73, 203)(74, 168)(75, 204)(76, 169)(77, 170)(78, 171)(79, 172)(80, 173)(81, 174)(82, 175)(83, 176)(84, 177)(85, 213)(86, 215)(87, 216)(88, 218)(89, 217)(90, 214)(91, 219)(92, 220)(93, 189)(94, 190)(95, 191)(96, 192)(97, 193)(98, 194)(99, 195)(100, 196)(101, 207)(102, 208)(103, 209)(104, 210)(105, 223)(106, 211)(107, 224)(108, 212)(109, 205)(110, 206)(111, 222)(112, 221)
	local type(s) :: { ( 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E24.1851
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 56 e = 112 f = 10
	degree seq :: [ 4^56 ]

E24.1856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 56})
Quotient :: dipole
Aut^+ = C7 x D16 (small group id <112, 24>)
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 * R * Y2^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, Y2^14, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * 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, 32, 144)(21, 133, 34, 146)(22, 134, 33, 145)(23, 135, 36, 148)(24, 136, 37, 149)(28, 140, 35, 147)(31, 143, 38, 150)(39, 151, 55, 167)(40, 152, 57, 169)(41, 153, 56, 168)(42, 154, 59, 171)(43, 155, 58, 170)(44, 156, 61, 173)(45, 157, 62, 174)(46, 158, 63, 175)(47, 159, 65, 177)(48, 160, 67, 179)(49, 161, 66, 178)(50, 162, 69, 181)(51, 163, 68, 180)(52, 164, 71, 183)(53, 165, 72, 184)(54, 166, 73, 185)(60, 172, 70, 182)(64, 176, 74, 186)(75, 187, 85, 197)(76, 188, 86, 198)(77, 189, 95, 207)(78, 190, 88, 200)(79, 191, 96, 208)(80, 192, 90, 202)(81, 193, 97, 209)(82, 194, 92, 204)(83, 195, 98, 210)(84, 196, 99, 211)(87, 199, 100, 212)(89, 201, 101, 213)(91, 203, 102, 214)(93, 205, 103, 215)(94, 206, 104, 216)(105, 217, 108, 220)(106, 218, 111, 223)(107, 219, 110, 222)(109, 221, 112, 224)(225, 337, 227, 339, 232, 344, 241, 353, 252, 364, 267, 379, 284, 396, 305, 417, 288, 400, 270, 382, 255, 367, 243, 355, 234, 346, 228, 340)(226, 338, 229, 341, 236, 348, 246, 358, 259, 371, 275, 387, 294, 406, 315, 427, 298, 410, 278, 390, 262, 374, 248, 360, 238, 350, 230, 342)(231, 343, 239, 351, 250, 362, 265, 377, 282, 394, 303, 415, 321, 433, 308, 420, 287, 399, 269, 381, 254, 366, 242, 354, 233, 345, 240, 352)(235, 347, 244, 356, 257, 369, 273, 385, 292, 404, 313, 425, 326, 438, 318, 430, 297, 409, 277, 389, 261, 373, 247, 359, 237, 349, 245, 357)(249, 361, 263, 375, 280, 392, 301, 413, 320, 432, 330, 442, 323, 435, 307, 419, 286, 398, 268, 380, 253, 365, 266, 378, 251, 363, 264, 376)(256, 368, 271, 383, 290, 402, 311, 423, 325, 437, 333, 445, 328, 440, 317, 429, 296, 408, 276, 388, 260, 372, 274, 386, 258, 370, 272, 384)(279, 391, 299, 411, 319, 431, 329, 441, 335, 447, 331, 443, 322, 434, 306, 418, 285, 397, 304, 416, 283, 395, 302, 414, 281, 393, 300, 412)(289, 401, 309, 421, 324, 436, 332, 444, 336, 448, 334, 446, 327, 439, 316, 428, 295, 407, 314, 426, 293, 405, 312, 424, 291, 403, 310, 422)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 235)(6, 237)(7, 227)(8, 236)(9, 228)(10, 238)(11, 229)(12, 232)(13, 230)(14, 234)(15, 249)(16, 251)(17, 250)(18, 253)(19, 254)(20, 256)(21, 258)(22, 257)(23, 260)(24, 261)(25, 239)(26, 241)(27, 240)(28, 259)(29, 242)(30, 243)(31, 262)(32, 244)(33, 246)(34, 245)(35, 252)(36, 247)(37, 248)(38, 255)(39, 279)(40, 281)(41, 280)(42, 283)(43, 282)(44, 285)(45, 286)(46, 287)(47, 289)(48, 291)(49, 290)(50, 293)(51, 292)(52, 295)(53, 296)(54, 297)(55, 263)(56, 265)(57, 264)(58, 267)(59, 266)(60, 294)(61, 268)(62, 269)(63, 270)(64, 298)(65, 271)(66, 273)(67, 272)(68, 275)(69, 274)(70, 284)(71, 276)(72, 277)(73, 278)(74, 288)(75, 309)(76, 310)(77, 319)(78, 312)(79, 320)(80, 314)(81, 321)(82, 316)(83, 322)(84, 323)(85, 299)(86, 300)(87, 324)(88, 302)(89, 325)(90, 304)(91, 326)(92, 306)(93, 327)(94, 328)(95, 301)(96, 303)(97, 305)(98, 307)(99, 308)(100, 311)(101, 313)(102, 315)(103, 317)(104, 318)(105, 332)(106, 335)(107, 334)(108, 329)(109, 336)(110, 331)(111, 330)(112, 333)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 2, 112, 2, 112 ), ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1859
Graph:: bipartite
	v = 64 e = 224 f = 114
	degree seq :: [ 4^56, 28^8 ]

E24.1857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 56})
Quotient :: dipole
Aut^+ = C7 x D16 (small group id <112, 24>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^2, Y2^5 * Y1 * Y2^-3 * Y1, Y1^-1 * Y2^3 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-4 * Y2, Y1^14 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 60, 172, 86, 198, 105, 217, 104, 216, 82, 194, 53, 165, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 62, 174, 87, 199, 107, 219, 101, 213, 83, 195, 50, 162, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 61, 173, 88, 200, 106, 218, 103, 215, 85, 197, 52, 164, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 63, 175, 90, 202, 108, 220, 102, 214, 80, 192, 51, 163, 26, 138)(15, 127, 32, 144, 38, 150, 65, 177, 89, 201, 109, 221, 97, 209, 84, 196, 55, 167, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143)(25, 137, 47, 159, 64, 176, 46, 158, 71, 183, 45, 157, 72, 184, 44, 156, 73, 185, 91, 203, 111, 223, 99, 211, 81, 193, 49, 161)(33, 145, 58, 170, 66, 178, 93, 205, 110, 222, 98, 210, 78, 190, 54, 166, 70, 182, 40, 152, 68, 180, 56, 168, 67, 179, 57, 169)(48, 160, 69, 181, 92, 204, 77, 189, 96, 208, 76, 188, 95, 207, 75, 187, 59, 171, 74, 186, 94, 206, 112, 224, 100, 212, 79, 191)(225, 337, 227, 339, 234, 346, 249, 361, 272, 384, 302, 414, 321, 433, 330, 442, 310, 422, 286, 398, 267, 379, 296, 408, 319, 431, 291, 403, 263, 375, 244, 356, 237, 349, 252, 364, 275, 387, 305, 417, 324, 436, 334, 446, 313, 425, 285, 397, 258, 370, 245, 357, 266, 378, 295, 407, 320, 432, 292, 404, 265, 377, 254, 366, 277, 389, 307, 419, 326, 438, 335, 447, 318, 430, 290, 402, 262, 374, 242, 354, 230, 342, 241, 353, 260, 372, 288, 400, 316, 428, 294, 406, 279, 391, 309, 421, 328, 440, 331, 443, 314, 426, 297, 409, 283, 395, 257, 369, 239, 351, 229, 341)(226, 338, 231, 343, 243, 355, 264, 376, 293, 405, 273, 385, 304, 416, 325, 437, 329, 441, 312, 424, 289, 401, 282, 394, 299, 411, 269, 381, 247, 359, 233, 345, 228, 340, 236, 348, 253, 365, 278, 390, 303, 415, 323, 435, 332, 444, 311, 423, 284, 396, 261, 373, 256, 368, 281, 393, 300, 412, 270, 382, 248, 360, 235, 347, 251, 363, 276, 388, 308, 420, 322, 434, 336, 448, 315, 427, 287, 399, 259, 371, 240, 352, 238, 350, 255, 367, 280, 392, 301, 413, 271, 383, 250, 362, 274, 386, 306, 418, 327, 439, 333, 445, 317, 429, 298, 410, 268, 380, 246, 358, 232, 344)
	L = (1, 227)(2, 231)(3, 234)(4, 236)(5, 225)(6, 241)(7, 243)(8, 226)(9, 228)(10, 249)(11, 251)(12, 253)(13, 252)(14, 255)(15, 229)(16, 238)(17, 260)(18, 230)(19, 264)(20, 237)(21, 266)(22, 232)(23, 233)(24, 235)(25, 272)(26, 274)(27, 276)(28, 275)(29, 278)(30, 277)(31, 280)(32, 281)(33, 239)(34, 245)(35, 240)(36, 288)(37, 256)(38, 242)(39, 244)(40, 293)(41, 254)(42, 295)(43, 296)(44, 246)(45, 247)(46, 248)(47, 250)(48, 302)(49, 304)(50, 306)(51, 305)(52, 308)(53, 307)(54, 303)(55, 309)(56, 301)(57, 300)(58, 299)(59, 257)(60, 261)(61, 258)(62, 267)(63, 259)(64, 316)(65, 282)(66, 262)(67, 263)(68, 265)(69, 273)(70, 279)(71, 320)(72, 319)(73, 283)(74, 268)(75, 269)(76, 270)(77, 271)(78, 321)(79, 323)(80, 325)(81, 324)(82, 327)(83, 326)(84, 322)(85, 328)(86, 286)(87, 284)(88, 289)(89, 285)(90, 297)(91, 287)(92, 294)(93, 298)(94, 290)(95, 291)(96, 292)(97, 330)(98, 336)(99, 332)(100, 334)(101, 329)(102, 335)(103, 333)(104, 331)(105, 312)(106, 310)(107, 314)(108, 311)(109, 317)(110, 313)(111, 318)(112, 315)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.1858
Graph:: bipartite
	v = 10 e = 224 f = 168
	degree seq :: [ 28^8, 112^2 ]

E24.1858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 56})
Quotient :: dipole
Aut^+ = C7 x D16 (small group id <112, 24>)
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, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1, Y2 * Y3^4 * Y2 * Y3^-4, (Y3^-2 * Y2 * Y3^2 * Y2)^2, Y3^-9 * Y2 * Y3^-3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^56 ]
Map:: polytopal
	R = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)(225, 337, 226, 338)(227, 339, 231, 343)(228, 340, 233, 345)(229, 341, 235, 347)(230, 342, 237, 349)(232, 344, 241, 353)(234, 346, 245, 357)(236, 348, 249, 361)(238, 350, 253, 365)(239, 351, 247, 359)(240, 352, 251, 363)(242, 354, 259, 371)(243, 355, 248, 360)(244, 356, 252, 364)(246, 358, 265, 377)(250, 362, 271, 383)(254, 366, 277, 389)(255, 367, 269, 381)(256, 368, 275, 387)(257, 369, 267, 379)(258, 370, 273, 385)(260, 372, 272, 384)(261, 373, 270, 382)(262, 374, 276, 388)(263, 375, 268, 380)(264, 376, 274, 386)(266, 378, 278, 390)(279, 391, 294, 406)(280, 392, 291, 403)(281, 393, 292, 404)(282, 394, 293, 405)(283, 395, 290, 402)(284, 396, 295, 407)(285, 397, 301, 413)(286, 398, 299, 411)(287, 399, 298, 410)(288, 400, 297, 409)(289, 401, 305, 417)(296, 408, 309, 421)(300, 412, 313, 425)(302, 414, 311, 423)(303, 415, 310, 422)(304, 416, 318, 430)(306, 418, 315, 427)(307, 419, 314, 426)(308, 420, 322, 434)(312, 424, 326, 438)(316, 428, 330, 442)(317, 429, 325, 437)(319, 431, 327, 439)(320, 432, 332, 444)(321, 433, 329, 441)(323, 435, 331, 443)(324, 436, 328, 440)(333, 445, 336, 448)(334, 446, 335, 447)
	L = (1, 227)(2, 229)(3, 232)(4, 225)(5, 236)(6, 226)(7, 239)(8, 242)(9, 243)(10, 228)(11, 247)(12, 250)(13, 251)(14, 230)(15, 255)(16, 231)(17, 257)(18, 260)(19, 261)(20, 233)(21, 263)(22, 234)(23, 267)(24, 235)(25, 269)(26, 272)(27, 273)(28, 237)(29, 275)(30, 238)(31, 279)(32, 240)(33, 281)(34, 241)(35, 283)(36, 285)(37, 284)(38, 244)(39, 282)(40, 245)(41, 280)(42, 246)(43, 290)(44, 248)(45, 292)(46, 249)(47, 294)(48, 296)(49, 295)(50, 252)(51, 293)(52, 253)(53, 291)(54, 254)(55, 301)(56, 256)(57, 302)(58, 258)(59, 303)(60, 259)(61, 304)(62, 262)(63, 264)(64, 265)(65, 266)(66, 309)(67, 268)(68, 310)(69, 270)(70, 311)(71, 271)(72, 312)(73, 274)(74, 276)(75, 277)(76, 278)(77, 317)(78, 318)(79, 319)(80, 320)(81, 286)(82, 287)(83, 288)(84, 289)(85, 325)(86, 326)(87, 327)(88, 328)(89, 297)(90, 298)(91, 299)(92, 300)(93, 333)(94, 334)(95, 332)(96, 331)(97, 305)(98, 306)(99, 307)(100, 308)(101, 335)(102, 336)(103, 324)(104, 323)(105, 313)(106, 314)(107, 315)(108, 316)(109, 322)(110, 321)(111, 330)(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) :: { ( 28, 112 ), ( 28, 112, 28, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1857
Graph:: simple bipartite
	v = 168 e = 224 f = 10
	degree seq :: [ 2^112, 4^56 ]

E24.1859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 56})
Quotient :: dipole
Aut^+ = C7 x D16 (small group id <112, 24>)
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, (Y3 * Y2^-1)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^4 * Y3 * Y1^-4, (Y3 * Y1^-2 * Y3 * Y1^2)^2, (Y1^-6 * Y3 * Y1^-1)^2, Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-1, Y1^56 ]
Map::
	R = (1, 113, 2, 114, 5, 117, 11, 123, 23, 135, 43, 155, 66, 178, 85, 197, 101, 213, 95, 207, 79, 191, 60, 172, 76, 188, 57, 169, 33, 145, 16, 128, 28, 140, 48, 160, 70, 182, 89, 201, 105, 217, 111, 223, 110, 222, 94, 206, 78, 190, 59, 171, 35, 147, 53, 165, 74, 186, 56, 168, 32, 144, 52, 164, 73, 185, 91, 203, 107, 219, 112, 224, 109, 221, 93, 205, 77, 189, 58, 170, 34, 146, 17, 129, 29, 141, 49, 161, 71, 183, 55, 167, 75, 187, 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, 44, 156, 68, 180, 88, 200, 106, 218, 99, 211, 83, 195, 64, 176, 41, 153, 54, 166, 30, 142, 14, 126, 6, 118, 13, 125, 27, 139, 51, 163, 67, 179, 87, 199, 104, 216, 98, 210, 82, 194, 63, 175, 40, 152, 21, 133, 39, 151, 50, 162, 26, 138, 12, 124, 25, 137, 47, 159, 72, 184, 86, 198, 103, 215, 97, 209, 81, 193, 62, 174, 38, 150, 20, 132, 9, 121, 19, 131, 37, 149, 46, 158, 24, 136, 45, 157, 69, 181, 90, 202, 102, 214, 96, 208, 80, 192, 61, 173, 36, 148, 18, 130, 8, 120)(225, 337)(226, 338)(227, 339)(228, 340)(229, 341)(230, 342)(231, 343)(232, 344)(233, 345)(234, 346)(235, 347)(236, 348)(237, 349)(238, 350)(239, 351)(240, 352)(241, 353)(242, 354)(243, 355)(244, 356)(245, 357)(246, 358)(247, 359)(248, 360)(249, 361)(250, 362)(251, 363)(252, 364)(253, 365)(254, 366)(255, 367)(256, 368)(257, 369)(258, 370)(259, 371)(260, 372)(261, 373)(262, 374)(263, 375)(264, 376)(265, 377)(266, 378)(267, 379)(268, 380)(269, 381)(270, 382)(271, 383)(272, 384)(273, 385)(274, 386)(275, 387)(276, 388)(277, 389)(278, 390)(279, 391)(280, 392)(281, 393)(282, 394)(283, 395)(284, 396)(285, 397)(286, 398)(287, 399)(288, 400)(289, 401)(290, 402)(291, 403)(292, 404)(293, 405)(294, 406)(295, 407)(296, 408)(297, 409)(298, 410)(299, 411)(300, 412)(301, 413)(302, 414)(303, 415)(304, 416)(305, 417)(306, 418)(307, 419)(308, 420)(309, 421)(310, 422)(311, 423)(312, 424)(313, 425)(314, 426)(315, 427)(316, 428)(317, 429)(318, 430)(319, 431)(320, 432)(321, 433)(322, 434)(323, 435)(324, 436)(325, 437)(326, 438)(327, 439)(328, 440)(329, 441)(330, 442)(331, 443)(332, 444)(333, 445)(334, 446)(335, 447)(336, 448)
	L = (1, 227)(2, 230)(3, 225)(4, 233)(5, 236)(6, 226)(7, 240)(8, 241)(9, 228)(10, 245)(11, 248)(12, 229)(13, 252)(14, 253)(15, 256)(16, 231)(17, 232)(18, 259)(19, 257)(20, 258)(21, 234)(22, 265)(23, 268)(24, 235)(25, 272)(26, 273)(27, 276)(28, 237)(29, 238)(30, 277)(31, 279)(32, 239)(33, 243)(34, 244)(35, 242)(36, 284)(37, 280)(38, 283)(39, 281)(40, 282)(41, 246)(42, 285)(43, 291)(44, 247)(45, 294)(46, 295)(47, 297)(48, 249)(49, 250)(50, 298)(51, 299)(52, 251)(53, 254)(54, 300)(55, 255)(56, 261)(57, 263)(58, 264)(59, 262)(60, 260)(61, 266)(62, 303)(63, 302)(64, 301)(65, 305)(66, 310)(67, 267)(68, 313)(69, 315)(70, 269)(71, 270)(72, 316)(73, 271)(74, 274)(75, 275)(76, 278)(77, 288)(78, 287)(79, 286)(80, 317)(81, 289)(82, 319)(83, 318)(84, 322)(85, 326)(86, 290)(87, 329)(88, 331)(89, 292)(90, 332)(91, 293)(92, 296)(93, 304)(94, 307)(95, 306)(96, 334)(97, 333)(98, 308)(99, 325)(100, 330)(101, 323)(102, 309)(103, 335)(104, 336)(105, 311)(106, 324)(107, 312)(108, 314)(109, 321)(110, 320)(111, 327)(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, 28 ), ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1856
Graph:: simple bipartite
	v = 114 e = 224 f = 64
	degree seq :: [ 2^112, 112^2 ]

E24.1860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 56})
Quotient :: dipole
Aut^+ = C7 x D16 (small group id <112, 24>)
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, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-3 * R * Y2^-1)^2, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-2 * Y1 * Y2^2 * Y1)^2, (Y2^-3 * Y1 * Y2^-4)^2, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 113, 2, 114)(3, 115, 7, 119)(4, 116, 9, 121)(5, 117, 11, 123)(6, 118, 13, 125)(8, 120, 17, 129)(10, 122, 21, 133)(12, 124, 25, 137)(14, 126, 29, 141)(15, 127, 23, 135)(16, 128, 27, 139)(18, 130, 35, 147)(19, 131, 24, 136)(20, 132, 28, 140)(22, 134, 41, 153)(26, 138, 47, 159)(30, 142, 53, 165)(31, 143, 45, 157)(32, 144, 51, 163)(33, 145, 43, 155)(34, 146, 49, 161)(36, 148, 48, 160)(37, 149, 46, 158)(38, 150, 52, 164)(39, 151, 44, 156)(40, 152, 50, 162)(42, 154, 54, 166)(55, 167, 70, 182)(56, 168, 67, 179)(57, 169, 68, 180)(58, 170, 69, 181)(59, 171, 66, 178)(60, 172, 71, 183)(61, 173, 77, 189)(62, 174, 75, 187)(63, 175, 74, 186)(64, 176, 73, 185)(65, 177, 81, 193)(72, 184, 85, 197)(76, 188, 89, 201)(78, 190, 87, 199)(79, 191, 86, 198)(80, 192, 94, 206)(82, 194, 91, 203)(83, 195, 90, 202)(84, 196, 98, 210)(88, 200, 102, 214)(92, 204, 106, 218)(93, 205, 101, 213)(95, 207, 103, 215)(96, 208, 108, 220)(97, 209, 105, 217)(99, 211, 107, 219)(100, 212, 104, 216)(109, 221, 112, 224)(110, 222, 111, 223)(225, 337, 227, 339, 232, 344, 242, 354, 260, 372, 285, 397, 304, 416, 320, 432, 331, 443, 315, 427, 299, 411, 277, 389, 291, 403, 268, 380, 248, 360, 235, 347, 247, 359, 267, 379, 290, 402, 309, 421, 325, 437, 335, 447, 330, 442, 314, 426, 298, 410, 276, 388, 253, 365, 275, 387, 293, 405, 270, 382, 249, 361, 269, 381, 292, 404, 310, 422, 326, 438, 336, 448, 329, 441, 313, 425, 297, 409, 274, 386, 252, 364, 237, 349, 251, 363, 273, 385, 295, 407, 271, 383, 294, 406, 311, 423, 327, 439, 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, 323, 435, 307, 419, 288, 400, 265, 377, 280, 392, 256, 368, 240, 352, 231, 343, 239, 351, 255, 367, 279, 391, 301, 413, 317, 429, 333, 445, 322, 434, 306, 418, 287, 399, 264, 376, 245, 357, 263, 375, 282, 394, 258, 370, 241, 353, 257, 369, 281, 393, 302, 414, 318, 430, 334, 446, 321, 433, 305, 417, 286, 398, 262, 374, 244, 356, 233, 345, 243, 355, 261, 373, 284, 396, 259, 371, 283, 395, 303, 415, 319, 431, 332, 444, 316, 428, 300, 412, 278, 390, 254, 366, 238, 350, 230, 342)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 235)(6, 237)(7, 227)(8, 241)(9, 228)(10, 245)(11, 229)(12, 249)(13, 230)(14, 253)(15, 247)(16, 251)(17, 232)(18, 259)(19, 248)(20, 252)(21, 234)(22, 265)(23, 239)(24, 243)(25, 236)(26, 271)(27, 240)(28, 244)(29, 238)(30, 277)(31, 269)(32, 275)(33, 267)(34, 273)(35, 242)(36, 272)(37, 270)(38, 276)(39, 268)(40, 274)(41, 246)(42, 278)(43, 257)(44, 263)(45, 255)(46, 261)(47, 250)(48, 260)(49, 258)(50, 264)(51, 256)(52, 262)(53, 254)(54, 266)(55, 294)(56, 291)(57, 292)(58, 293)(59, 290)(60, 295)(61, 301)(62, 299)(63, 298)(64, 297)(65, 305)(66, 283)(67, 280)(68, 281)(69, 282)(70, 279)(71, 284)(72, 309)(73, 288)(74, 287)(75, 286)(76, 313)(77, 285)(78, 311)(79, 310)(80, 318)(81, 289)(82, 315)(83, 314)(84, 322)(85, 296)(86, 303)(87, 302)(88, 326)(89, 300)(90, 307)(91, 306)(92, 330)(93, 325)(94, 304)(95, 327)(96, 332)(97, 329)(98, 308)(99, 331)(100, 328)(101, 317)(102, 312)(103, 319)(104, 324)(105, 321)(106, 316)(107, 323)(108, 320)(109, 336)(110, 335)(111, 334)(112, 333)(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, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1861
Graph:: bipartite
	v = 58 e = 224 f = 120
	degree seq :: [ 4^56, 112^2 ]

E24.1861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 56})
Quotient :: dipole
Aut^+ = C7 x D16 (small group id <112, 24>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y3^-2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-3, Y1^-1 * Y3^3 * Y1^-2 * Y3^3 * Y1^-2 * Y3^2 * Y1^-1, Y1^14, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 60, 172, 86, 198, 105, 217, 104, 216, 82, 194, 53, 165, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 62, 174, 87, 199, 107, 219, 101, 213, 83, 195, 50, 162, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 61, 173, 88, 200, 106, 218, 103, 215, 85, 197, 52, 164, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 63, 175, 90, 202, 108, 220, 102, 214, 80, 192, 51, 163, 26, 138)(15, 127, 32, 144, 38, 150, 65, 177, 89, 201, 109, 221, 97, 209, 84, 196, 55, 167, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143)(25, 137, 47, 159, 64, 176, 46, 158, 71, 183, 45, 157, 72, 184, 44, 156, 73, 185, 91, 203, 111, 223, 99, 211, 81, 193, 49, 161)(33, 145, 58, 170, 66, 178, 93, 205, 110, 222, 98, 210, 78, 190, 54, 166, 70, 182, 40, 152, 68, 180, 56, 168, 67, 179, 57, 169)(48, 160, 69, 181, 92, 204, 77, 189, 96, 208, 76, 188, 95, 207, 75, 187, 59, 171, 74, 186, 94, 206, 112, 224, 100, 212, 79, 191)(225, 337)(226, 338)(227, 339)(228, 340)(229, 341)(230, 342)(231, 343)(232, 344)(233, 345)(234, 346)(235, 347)(236, 348)(237, 349)(238, 350)(239, 351)(240, 352)(241, 353)(242, 354)(243, 355)(244, 356)(245, 357)(246, 358)(247, 359)(248, 360)(249, 361)(250, 362)(251, 363)(252, 364)(253, 365)(254, 366)(255, 367)(256, 368)(257, 369)(258, 370)(259, 371)(260, 372)(261, 373)(262, 374)(263, 375)(264, 376)(265, 377)(266, 378)(267, 379)(268, 380)(269, 381)(270, 382)(271, 383)(272, 384)(273, 385)(274, 386)(275, 387)(276, 388)(277, 389)(278, 390)(279, 391)(280, 392)(281, 393)(282, 394)(283, 395)(284, 396)(285, 397)(286, 398)(287, 399)(288, 400)(289, 401)(290, 402)(291, 403)(292, 404)(293, 405)(294, 406)(295, 407)(296, 408)(297, 409)(298, 410)(299, 411)(300, 412)(301, 413)(302, 414)(303, 415)(304, 416)(305, 417)(306, 418)(307, 419)(308, 420)(309, 421)(310, 422)(311, 423)(312, 424)(313, 425)(314, 426)(315, 427)(316, 428)(317, 429)(318, 430)(319, 431)(320, 432)(321, 433)(322, 434)(323, 435)(324, 436)(325, 437)(326, 438)(327, 439)(328, 440)(329, 441)(330, 442)(331, 443)(332, 444)(333, 445)(334, 446)(335, 447)(336, 448)
	L = (1, 227)(2, 231)(3, 234)(4, 236)(5, 225)(6, 241)(7, 243)(8, 226)(9, 228)(10, 249)(11, 251)(12, 253)(13, 252)(14, 255)(15, 229)(16, 238)(17, 260)(18, 230)(19, 264)(20, 237)(21, 266)(22, 232)(23, 233)(24, 235)(25, 272)(26, 274)(27, 276)(28, 275)(29, 278)(30, 277)(31, 280)(32, 281)(33, 239)(34, 245)(35, 240)(36, 288)(37, 256)(38, 242)(39, 244)(40, 293)(41, 254)(42, 295)(43, 296)(44, 246)(45, 247)(46, 248)(47, 250)(48, 302)(49, 304)(50, 306)(51, 305)(52, 308)(53, 307)(54, 303)(55, 309)(56, 301)(57, 300)(58, 299)(59, 257)(60, 261)(61, 258)(62, 267)(63, 259)(64, 316)(65, 282)(66, 262)(67, 263)(68, 265)(69, 273)(70, 279)(71, 320)(72, 319)(73, 283)(74, 268)(75, 269)(76, 270)(77, 271)(78, 321)(79, 323)(80, 325)(81, 324)(82, 327)(83, 326)(84, 322)(85, 328)(86, 286)(87, 284)(88, 289)(89, 285)(90, 297)(91, 287)(92, 294)(93, 298)(94, 290)(95, 291)(96, 292)(97, 330)(98, 336)(99, 332)(100, 334)(101, 329)(102, 335)(103, 333)(104, 331)(105, 312)(106, 310)(107, 314)(108, 311)(109, 317)(110, 313)(111, 318)(112, 315)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4, 112 ), ( 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112 ) }
Outer automorphisms :: reflexible
Dual of E24.1860
Graph:: simple bipartite
	v = 120 e = 224 f = 58
	degree seq :: [ 2^112, 28^8 ]

E24.1862 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^5, (T2 * T1^-1)^3, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 16, 5)(2, 7, 20, 24, 8)(4, 12, 29, 30, 13)(6, 17, 35, 36, 18)(9, 23, 42, 47, 25)(11, 22, 41, 50, 28)(14, 31, 52, 37, 19)(15, 32, 54, 40, 21)(26, 46, 66, 69, 48)(27, 45, 65, 70, 49)(33, 55, 75, 71, 51)(34, 56, 76, 74, 53)(38, 58, 78, 79, 59)(39, 57, 77, 80, 60)(43, 63, 83, 81, 61)(44, 64, 84, 82, 62)(67, 87, 103, 101, 85)(68, 88, 104, 102, 86)(72, 92, 108, 109, 93)(73, 91, 107, 110, 94)(89, 105, 117, 112, 96)(90, 106, 118, 111, 95)(97, 113, 119, 116, 100)(98, 114, 120, 115, 99)(121, 122, 126, 124)(123, 129, 137, 131)(125, 134, 138, 135)(127, 139, 132, 141)(128, 142, 133, 143)(130, 146, 155, 147)(136, 153, 156, 154)(140, 158, 149, 159)(144, 163, 150, 164)(145, 165, 148, 166)(151, 171, 152, 173)(157, 177, 160, 178)(161, 181, 162, 182)(167, 187, 170, 188)(168, 176, 169, 175)(172, 192, 174, 193)(179, 184, 180, 183)(185, 205, 186, 206)(189, 209, 190, 210)(191, 211, 194, 212)(195, 215, 196, 216)(197, 213, 198, 214)(199, 217, 200, 218)(201, 207, 202, 208)(203, 219, 204, 220)(221, 225, 222, 226)(223, 235, 224, 236)(227, 231, 228, 232)(229, 233, 230, 234)(237, 240, 238, 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) :: { ( 12^4 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E24.1866
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 120 f = 20
	degree seq :: [ 4^30, 5^24 ]

E24.1863 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, T1^5, T2^6, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 17, 5)(2, 7, 20, 39, 16, 8)(4, 12, 9, 25, 35, 14)(6, 18, 41, 51, 23, 19)(11, 28, 26, 40, 37, 15)(13, 32, 30, 54, 44, 33)(21, 46, 45, 38, 49, 22)(24, 52, 64, 34, 31, 53)(29, 57, 55, 63, 79, 58)(36, 56, 74, 47, 66, 65)(42, 68, 67, 50, 71, 43)(48, 73, 92, 69, 76, 75)(59, 72, 88, 62, 61, 84)(60, 85, 78, 77, 99, 86)(70, 91, 107, 87, 94, 93)(80, 101, 105, 83, 82, 102)(81, 103, 96, 90, 108, 89)(95, 113, 110, 98, 114, 97)(100, 115, 117, 104, 106, 116)(109, 119, 118, 112, 120, 111)(121, 122, 126, 133, 124)(123, 129, 144, 149, 131)(125, 135, 156, 158, 136)(127, 130, 146, 167, 141)(128, 142, 168, 170, 143)(132, 150, 179, 180, 151)(134, 154, 183, 160, 137)(138, 140, 165, 189, 162)(139, 163, 190, 192, 164)(145, 147, 159, 171, 174)(148, 175, 200, 201, 176)(152, 161, 187, 207, 181)(153, 182, 197, 172, 155)(157, 178, 203, 210, 186)(166, 185, 209, 215, 193)(169, 194, 216, 218, 196)(173, 198, 220, 221, 199)(177, 184, 206, 224, 202)(188, 195, 217, 229, 211)(191, 212, 230, 232, 214)(204, 213, 231, 235, 219)(205, 208, 227, 238, 226)(222, 236, 240, 234, 228)(223, 225, 237, 239, 233)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^5 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1867
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 120 f = 30
	degree seq :: [ 5^24, 6^20 ]

E24.1864 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1^3 * T2^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 13, 8)(4, 12, 6, 14)(9, 21, 15, 22)(11, 23, 16, 24)(17, 29, 19, 30)(18, 31, 20, 32)(25, 41, 27, 42)(26, 43, 28, 44)(33, 53, 35, 54)(34, 55, 36, 56)(37, 57, 39, 58)(38, 47, 40, 45)(46, 65, 48, 66)(49, 67, 51, 68)(50, 59, 52, 61)(60, 77, 62, 78)(63, 79, 64, 80)(69, 89, 71, 90)(70, 73, 72, 75)(74, 91, 76, 92)(81, 101, 83, 102)(82, 85, 84, 87)(86, 103, 88, 104)(93, 111, 95, 112)(94, 97, 96, 99)(98, 107, 100, 105)(106, 115, 108, 116)(109, 117, 110, 118)(113, 119, 114, 120)(121, 122, 126, 130, 133, 124)(123, 129, 136, 125, 135, 131)(127, 137, 140, 128, 139, 138)(132, 145, 148, 134, 147, 146)(141, 153, 156, 142, 155, 154)(143, 157, 160, 144, 159, 158)(149, 165, 168, 150, 167, 166)(151, 169, 172, 152, 171, 170)(161, 179, 182, 162, 181, 180)(163, 183, 174, 164, 184, 173)(175, 189, 192, 176, 191, 190)(177, 193, 196, 178, 195, 194)(185, 201, 204, 186, 203, 202)(187, 205, 208, 188, 207, 206)(197, 213, 216, 198, 215, 214)(199, 217, 220, 200, 219, 218)(209, 225, 228, 210, 227, 226)(211, 229, 221, 212, 230, 222)(223, 233, 232, 224, 234, 231)(235, 240, 238, 236, 239, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1865
Transitivity :: ET+
Graph:: bipartite
	v = 50 e = 120 f = 24
	degree seq :: [ 4^30, 6^20 ]

E24.1865 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^5, (T2 * T1^-1)^3, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 16, 136, 5, 125)(2, 122, 7, 127, 20, 140, 24, 144, 8, 128)(4, 124, 12, 132, 29, 149, 30, 150, 13, 133)(6, 126, 17, 137, 35, 155, 36, 156, 18, 138)(9, 129, 23, 143, 42, 162, 47, 167, 25, 145)(11, 131, 22, 142, 41, 161, 50, 170, 28, 148)(14, 134, 31, 151, 52, 172, 37, 157, 19, 139)(15, 135, 32, 152, 54, 174, 40, 160, 21, 141)(26, 146, 46, 166, 66, 186, 69, 189, 48, 168)(27, 147, 45, 165, 65, 185, 70, 190, 49, 169)(33, 153, 55, 175, 75, 195, 71, 191, 51, 171)(34, 154, 56, 176, 76, 196, 74, 194, 53, 173)(38, 158, 58, 178, 78, 198, 79, 199, 59, 179)(39, 159, 57, 177, 77, 197, 80, 200, 60, 180)(43, 163, 63, 183, 83, 203, 81, 201, 61, 181)(44, 164, 64, 184, 84, 204, 82, 202, 62, 182)(67, 187, 87, 207, 103, 223, 101, 221, 85, 205)(68, 188, 88, 208, 104, 224, 102, 222, 86, 206)(72, 192, 92, 212, 108, 228, 109, 229, 93, 213)(73, 193, 91, 211, 107, 227, 110, 230, 94, 214)(89, 209, 105, 225, 117, 237, 112, 232, 96, 216)(90, 210, 106, 226, 118, 238, 111, 231, 95, 215)(97, 217, 113, 233, 119, 239, 116, 236, 100, 220)(98, 218, 114, 234, 120, 240, 115, 235, 99, 219)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 124)(7, 139)(8, 142)(9, 137)(10, 146)(11, 123)(12, 141)(13, 143)(14, 138)(15, 125)(16, 153)(17, 131)(18, 135)(19, 132)(20, 158)(21, 127)(22, 133)(23, 128)(24, 163)(25, 165)(26, 155)(27, 130)(28, 166)(29, 159)(30, 164)(31, 171)(32, 173)(33, 156)(34, 136)(35, 147)(36, 154)(37, 177)(38, 149)(39, 140)(40, 178)(41, 181)(42, 182)(43, 150)(44, 144)(45, 148)(46, 145)(47, 187)(48, 176)(49, 175)(50, 188)(51, 152)(52, 192)(53, 151)(54, 193)(55, 168)(56, 169)(57, 160)(58, 157)(59, 184)(60, 183)(61, 162)(62, 161)(63, 179)(64, 180)(65, 205)(66, 206)(67, 170)(68, 167)(69, 209)(70, 210)(71, 211)(72, 174)(73, 172)(74, 212)(75, 215)(76, 216)(77, 213)(78, 214)(79, 217)(80, 218)(81, 207)(82, 208)(83, 219)(84, 220)(85, 186)(86, 185)(87, 202)(88, 201)(89, 190)(90, 189)(91, 194)(92, 191)(93, 198)(94, 197)(95, 196)(96, 195)(97, 200)(98, 199)(99, 204)(100, 203)(101, 225)(102, 226)(103, 235)(104, 236)(105, 222)(106, 221)(107, 231)(108, 232)(109, 233)(110, 234)(111, 228)(112, 227)(113, 230)(114, 229)(115, 224)(116, 223)(117, 240)(118, 239)(119, 237)(120, 238)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1864
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 120 f = 50
	degree seq :: [ 10^24 ]

E24.1866 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, T1^5, T2^6, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 121, 3, 123, 10, 130, 27, 147, 17, 137, 5, 125)(2, 122, 7, 127, 20, 140, 39, 159, 16, 136, 8, 128)(4, 124, 12, 132, 9, 129, 25, 145, 35, 155, 14, 134)(6, 126, 18, 138, 41, 161, 51, 171, 23, 143, 19, 139)(11, 131, 28, 148, 26, 146, 40, 160, 37, 157, 15, 135)(13, 133, 32, 152, 30, 150, 54, 174, 44, 164, 33, 153)(21, 141, 46, 166, 45, 165, 38, 158, 49, 169, 22, 142)(24, 144, 52, 172, 64, 184, 34, 154, 31, 151, 53, 173)(29, 149, 57, 177, 55, 175, 63, 183, 79, 199, 58, 178)(36, 156, 56, 176, 74, 194, 47, 167, 66, 186, 65, 185)(42, 162, 68, 188, 67, 187, 50, 170, 71, 191, 43, 163)(48, 168, 73, 193, 92, 212, 69, 189, 76, 196, 75, 195)(59, 179, 72, 192, 88, 208, 62, 182, 61, 181, 84, 204)(60, 180, 85, 205, 78, 198, 77, 197, 99, 219, 86, 206)(70, 190, 91, 211, 107, 227, 87, 207, 94, 214, 93, 213)(80, 200, 101, 221, 105, 225, 83, 203, 82, 202, 102, 222)(81, 201, 103, 223, 96, 216, 90, 210, 108, 228, 89, 209)(95, 215, 113, 233, 110, 230, 98, 218, 114, 234, 97, 217)(100, 220, 115, 235, 117, 237, 104, 224, 106, 226, 116, 236)(109, 229, 119, 239, 118, 238, 112, 232, 120, 240, 111, 231)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 133)(7, 130)(8, 142)(9, 144)(10, 146)(11, 123)(12, 150)(13, 124)(14, 154)(15, 156)(16, 125)(17, 134)(18, 140)(19, 163)(20, 165)(21, 127)(22, 168)(23, 128)(24, 149)(25, 147)(26, 167)(27, 159)(28, 175)(29, 131)(30, 179)(31, 132)(32, 161)(33, 182)(34, 183)(35, 153)(36, 158)(37, 178)(38, 136)(39, 171)(40, 137)(41, 187)(42, 138)(43, 190)(44, 139)(45, 189)(46, 185)(47, 141)(48, 170)(49, 194)(50, 143)(51, 174)(52, 155)(53, 198)(54, 145)(55, 200)(56, 148)(57, 184)(58, 203)(59, 180)(60, 151)(61, 152)(62, 197)(63, 160)(64, 206)(65, 209)(66, 157)(67, 207)(68, 195)(69, 162)(70, 192)(71, 212)(72, 164)(73, 166)(74, 216)(75, 217)(76, 169)(77, 172)(78, 220)(79, 173)(80, 201)(81, 176)(82, 177)(83, 210)(84, 213)(85, 208)(86, 224)(87, 181)(88, 227)(89, 215)(90, 186)(91, 188)(92, 230)(93, 231)(94, 191)(95, 193)(96, 218)(97, 229)(98, 196)(99, 204)(100, 221)(101, 199)(102, 236)(103, 225)(104, 202)(105, 237)(106, 205)(107, 238)(108, 222)(109, 211)(110, 232)(111, 235)(112, 214)(113, 223)(114, 228)(115, 219)(116, 240)(117, 239)(118, 226)(119, 233)(120, 234)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E24.1862
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 54
	degree seq :: [ 12^20 ]

E24.1867 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1^3 * T2^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 121, 3, 123, 10, 130, 5, 125)(2, 122, 7, 127, 13, 133, 8, 128)(4, 124, 12, 132, 6, 126, 14, 134)(9, 129, 21, 141, 15, 135, 22, 142)(11, 131, 23, 143, 16, 136, 24, 144)(17, 137, 29, 149, 19, 139, 30, 150)(18, 138, 31, 151, 20, 140, 32, 152)(25, 145, 41, 161, 27, 147, 42, 162)(26, 146, 43, 163, 28, 148, 44, 164)(33, 153, 53, 173, 35, 155, 54, 174)(34, 154, 55, 175, 36, 156, 56, 176)(37, 157, 57, 177, 39, 159, 58, 178)(38, 158, 47, 167, 40, 160, 45, 165)(46, 166, 65, 185, 48, 168, 66, 186)(49, 169, 67, 187, 51, 171, 68, 188)(50, 170, 59, 179, 52, 172, 61, 181)(60, 180, 77, 197, 62, 182, 78, 198)(63, 183, 79, 199, 64, 184, 80, 200)(69, 189, 89, 209, 71, 191, 90, 210)(70, 190, 73, 193, 72, 192, 75, 195)(74, 194, 91, 211, 76, 196, 92, 212)(81, 201, 101, 221, 83, 203, 102, 222)(82, 202, 85, 205, 84, 204, 87, 207)(86, 206, 103, 223, 88, 208, 104, 224)(93, 213, 111, 231, 95, 215, 112, 232)(94, 214, 97, 217, 96, 216, 99, 219)(98, 218, 107, 227, 100, 220, 105, 225)(106, 226, 115, 235, 108, 228, 116, 236)(109, 229, 117, 237, 110, 230, 118, 238)(113, 233, 119, 239, 114, 234, 120, 240)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 130)(7, 137)(8, 139)(9, 136)(10, 133)(11, 123)(12, 145)(13, 124)(14, 147)(15, 131)(16, 125)(17, 140)(18, 127)(19, 138)(20, 128)(21, 153)(22, 155)(23, 157)(24, 159)(25, 148)(26, 132)(27, 146)(28, 134)(29, 165)(30, 167)(31, 169)(32, 171)(33, 156)(34, 141)(35, 154)(36, 142)(37, 160)(38, 143)(39, 158)(40, 144)(41, 179)(42, 181)(43, 183)(44, 184)(45, 168)(46, 149)(47, 166)(48, 150)(49, 172)(50, 151)(51, 170)(52, 152)(53, 163)(54, 164)(55, 189)(56, 191)(57, 193)(58, 195)(59, 182)(60, 161)(61, 180)(62, 162)(63, 174)(64, 173)(65, 201)(66, 203)(67, 205)(68, 207)(69, 192)(70, 175)(71, 190)(72, 176)(73, 196)(74, 177)(75, 194)(76, 178)(77, 213)(78, 215)(79, 217)(80, 219)(81, 204)(82, 185)(83, 202)(84, 186)(85, 208)(86, 187)(87, 206)(88, 188)(89, 225)(90, 227)(91, 229)(92, 230)(93, 216)(94, 197)(95, 214)(96, 198)(97, 220)(98, 199)(99, 218)(100, 200)(101, 212)(102, 211)(103, 233)(104, 234)(105, 228)(106, 209)(107, 226)(108, 210)(109, 221)(110, 222)(111, 223)(112, 224)(113, 232)(114, 231)(115, 240)(116, 239)(117, 235)(118, 236)(119, 237)(120, 238)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1863
Transitivity :: ET+ VT+ AT
Graph::
	v = 30 e = 120 f = 44
	degree seq :: [ 8^30 ]

E24.1868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, (R * Y3)^2, Y1^2 * Y3^-2, (R * Y1)^2, Y2^5, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 17, 137, 11, 131)(5, 125, 14, 134, 18, 138, 15, 135)(7, 127, 19, 139, 12, 132, 21, 141)(8, 128, 22, 142, 13, 133, 23, 143)(10, 130, 26, 146, 35, 155, 27, 147)(16, 136, 33, 153, 36, 156, 34, 154)(20, 140, 38, 158, 29, 149, 39, 159)(24, 144, 43, 163, 30, 150, 44, 164)(25, 145, 45, 165, 28, 148, 46, 166)(31, 151, 51, 171, 32, 152, 53, 173)(37, 157, 57, 177, 40, 160, 58, 178)(41, 161, 61, 181, 42, 162, 62, 182)(47, 167, 67, 187, 50, 170, 68, 188)(48, 168, 56, 176, 49, 169, 55, 175)(52, 172, 72, 192, 54, 174, 73, 193)(59, 179, 64, 184, 60, 180, 63, 183)(65, 185, 85, 205, 66, 186, 86, 206)(69, 189, 89, 209, 70, 190, 90, 210)(71, 191, 91, 211, 74, 194, 92, 212)(75, 195, 95, 215, 76, 196, 96, 216)(77, 197, 93, 213, 78, 198, 94, 214)(79, 199, 97, 217, 80, 200, 98, 218)(81, 201, 87, 207, 82, 202, 88, 208)(83, 203, 99, 219, 84, 204, 100, 220)(101, 221, 105, 225, 102, 222, 106, 226)(103, 223, 115, 235, 104, 224, 116, 236)(107, 227, 111, 231, 108, 228, 112, 232)(109, 229, 113, 233, 110, 230, 114, 234)(117, 237, 120, 240, 118, 238, 119, 239)(241, 361, 243, 363, 250, 370, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 264, 384, 248, 368)(244, 364, 252, 372, 269, 389, 270, 390, 253, 373)(246, 366, 257, 377, 275, 395, 276, 396, 258, 378)(249, 369, 263, 383, 282, 402, 287, 407, 265, 385)(251, 371, 262, 382, 281, 401, 290, 410, 268, 388)(254, 374, 271, 391, 292, 412, 277, 397, 259, 379)(255, 375, 272, 392, 294, 414, 280, 400, 261, 381)(266, 386, 286, 406, 306, 426, 309, 429, 288, 408)(267, 387, 285, 405, 305, 425, 310, 430, 289, 409)(273, 393, 295, 415, 315, 435, 311, 431, 291, 411)(274, 394, 296, 416, 316, 436, 314, 434, 293, 413)(278, 398, 298, 418, 318, 438, 319, 439, 299, 419)(279, 399, 297, 417, 317, 437, 320, 440, 300, 420)(283, 403, 303, 423, 323, 443, 321, 441, 301, 421)(284, 404, 304, 424, 324, 444, 322, 442, 302, 422)(307, 427, 327, 447, 343, 463, 341, 461, 325, 445)(308, 428, 328, 448, 344, 464, 342, 462, 326, 446)(312, 432, 332, 452, 348, 468, 349, 469, 333, 453)(313, 433, 331, 451, 347, 467, 350, 470, 334, 454)(329, 449, 345, 465, 357, 477, 352, 472, 336, 456)(330, 450, 346, 466, 358, 478, 351, 471, 335, 455)(337, 457, 353, 473, 359, 479, 356, 476, 340, 460)(338, 458, 354, 474, 360, 480, 355, 475, 339, 459)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 261)(8, 263)(9, 243)(10, 267)(11, 257)(12, 259)(13, 262)(14, 245)(15, 258)(16, 274)(17, 249)(18, 254)(19, 247)(20, 279)(21, 252)(22, 248)(23, 253)(24, 284)(25, 286)(26, 250)(27, 275)(28, 285)(29, 278)(30, 283)(31, 293)(32, 291)(33, 256)(34, 276)(35, 266)(36, 273)(37, 298)(38, 260)(39, 269)(40, 297)(41, 302)(42, 301)(43, 264)(44, 270)(45, 265)(46, 268)(47, 308)(48, 295)(49, 296)(50, 307)(51, 271)(52, 313)(53, 272)(54, 312)(55, 289)(56, 288)(57, 277)(58, 280)(59, 303)(60, 304)(61, 281)(62, 282)(63, 300)(64, 299)(65, 326)(66, 325)(67, 287)(68, 290)(69, 330)(70, 329)(71, 332)(72, 292)(73, 294)(74, 331)(75, 336)(76, 335)(77, 334)(78, 333)(79, 338)(80, 337)(81, 328)(82, 327)(83, 340)(84, 339)(85, 305)(86, 306)(87, 321)(88, 322)(89, 309)(90, 310)(91, 311)(92, 314)(93, 317)(94, 318)(95, 315)(96, 316)(97, 319)(98, 320)(99, 323)(100, 324)(101, 346)(102, 345)(103, 356)(104, 355)(105, 341)(106, 342)(107, 352)(108, 351)(109, 354)(110, 353)(111, 347)(112, 348)(113, 349)(114, 350)(115, 343)(116, 344)(117, 359)(118, 360)(119, 358)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1871
Graph:: bipartite
	v = 54 e = 240 f = 140
	degree seq :: [ 8^30, 10^24 ]

E24.1869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^5, Y1 * Y2^-2 * Y1 * Y2, Y2^6, (Y3^-1 * Y1^-1)^4, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 24, 144, 29, 149, 11, 131)(5, 125, 15, 135, 36, 156, 38, 158, 16, 136)(7, 127, 10, 130, 26, 146, 47, 167, 21, 141)(8, 128, 22, 142, 48, 168, 50, 170, 23, 143)(12, 132, 30, 150, 59, 179, 60, 180, 31, 151)(14, 134, 34, 154, 63, 183, 40, 160, 17, 137)(18, 138, 20, 140, 45, 165, 69, 189, 42, 162)(19, 139, 43, 163, 70, 190, 72, 192, 44, 164)(25, 145, 27, 147, 39, 159, 51, 171, 54, 174)(28, 148, 55, 175, 80, 200, 81, 201, 56, 176)(32, 152, 41, 161, 67, 187, 87, 207, 61, 181)(33, 153, 62, 182, 77, 197, 52, 172, 35, 155)(37, 157, 58, 178, 83, 203, 90, 210, 66, 186)(46, 166, 65, 185, 89, 209, 95, 215, 73, 193)(49, 169, 74, 194, 96, 216, 98, 218, 76, 196)(53, 173, 78, 198, 100, 220, 101, 221, 79, 199)(57, 177, 64, 184, 86, 206, 104, 224, 82, 202)(68, 188, 75, 195, 97, 217, 109, 229, 91, 211)(71, 191, 92, 212, 110, 230, 112, 232, 94, 214)(84, 204, 93, 213, 111, 231, 115, 235, 99, 219)(85, 205, 88, 208, 107, 227, 118, 238, 106, 226)(102, 222, 116, 236, 120, 240, 114, 234, 108, 228)(103, 223, 105, 225, 117, 237, 119, 239, 113, 233)(241, 361, 243, 363, 250, 370, 267, 387, 257, 377, 245, 365)(242, 362, 247, 367, 260, 380, 279, 399, 256, 376, 248, 368)(244, 364, 252, 372, 249, 369, 265, 385, 275, 395, 254, 374)(246, 366, 258, 378, 281, 401, 291, 411, 263, 383, 259, 379)(251, 371, 268, 388, 266, 386, 280, 400, 277, 397, 255, 375)(253, 373, 272, 392, 270, 390, 294, 414, 284, 404, 273, 393)(261, 381, 286, 406, 285, 405, 278, 398, 289, 409, 262, 382)(264, 384, 292, 412, 304, 424, 274, 394, 271, 391, 293, 413)(269, 389, 297, 417, 295, 415, 303, 423, 319, 439, 298, 418)(276, 396, 296, 416, 314, 434, 287, 407, 306, 426, 305, 425)(282, 402, 308, 428, 307, 427, 290, 410, 311, 431, 283, 403)(288, 408, 313, 433, 332, 452, 309, 429, 316, 436, 315, 435)(299, 419, 312, 432, 328, 448, 302, 422, 301, 421, 324, 444)(300, 420, 325, 445, 318, 438, 317, 437, 339, 459, 326, 446)(310, 430, 331, 451, 347, 467, 327, 447, 334, 454, 333, 453)(320, 440, 341, 461, 345, 465, 323, 443, 322, 442, 342, 462)(321, 441, 343, 463, 336, 456, 330, 450, 348, 468, 329, 449)(335, 455, 353, 473, 350, 470, 338, 458, 354, 474, 337, 457)(340, 460, 355, 475, 357, 477, 344, 464, 346, 466, 356, 476)(349, 469, 359, 479, 358, 478, 352, 472, 360, 480, 351, 471)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 260)(8, 242)(9, 265)(10, 267)(11, 268)(12, 249)(13, 272)(14, 244)(15, 251)(16, 248)(17, 245)(18, 281)(19, 246)(20, 279)(21, 286)(22, 261)(23, 259)(24, 292)(25, 275)(26, 280)(27, 257)(28, 266)(29, 297)(30, 294)(31, 293)(32, 270)(33, 253)(34, 271)(35, 254)(36, 296)(37, 255)(38, 289)(39, 256)(40, 277)(41, 291)(42, 308)(43, 282)(44, 273)(45, 278)(46, 285)(47, 306)(48, 313)(49, 262)(50, 311)(51, 263)(52, 304)(53, 264)(54, 284)(55, 303)(56, 314)(57, 295)(58, 269)(59, 312)(60, 325)(61, 324)(62, 301)(63, 319)(64, 274)(65, 276)(66, 305)(67, 290)(68, 307)(69, 316)(70, 331)(71, 283)(72, 328)(73, 332)(74, 287)(75, 288)(76, 315)(77, 339)(78, 317)(79, 298)(80, 341)(81, 343)(82, 342)(83, 322)(84, 299)(85, 318)(86, 300)(87, 334)(88, 302)(89, 321)(90, 348)(91, 347)(92, 309)(93, 310)(94, 333)(95, 353)(96, 330)(97, 335)(98, 354)(99, 326)(100, 355)(101, 345)(102, 320)(103, 336)(104, 346)(105, 323)(106, 356)(107, 327)(108, 329)(109, 359)(110, 338)(111, 349)(112, 360)(113, 350)(114, 337)(115, 357)(116, 340)(117, 344)(118, 352)(119, 358)(120, 351)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 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 E24.1870
Graph:: bipartite
	v = 44 e = 240 f = 150
	degree seq :: [ 10^24, 12^20 ]

E24.1870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362, 246, 366, 244, 364)(243, 363, 249, 369, 256, 376, 251, 371)(245, 365, 254, 374, 250, 370, 255, 375)(247, 367, 257, 377, 252, 372, 258, 378)(248, 368, 259, 379, 253, 373, 260, 380)(261, 381, 277, 397, 263, 383, 278, 398)(262, 382, 279, 399, 264, 384, 280, 400)(265, 385, 281, 401, 267, 387, 282, 402)(266, 386, 283, 403, 268, 388, 284, 404)(269, 389, 285, 405, 271, 391, 286, 406)(270, 390, 287, 407, 272, 392, 288, 408)(273, 393, 289, 409, 275, 395, 290, 410)(274, 394, 291, 411, 276, 396, 292, 412)(293, 413, 313, 433, 294, 414, 314, 434)(295, 415, 315, 435, 297, 417, 316, 436)(296, 416, 301, 421, 298, 418, 299, 419)(300, 420, 317, 437, 302, 422, 318, 438)(303, 423, 319, 439, 304, 424, 320, 440)(305, 425, 321, 441, 307, 427, 322, 442)(306, 426, 311, 431, 308, 428, 309, 429)(310, 430, 323, 443, 312, 432, 324, 444)(325, 445, 348, 468, 327, 447, 346, 466)(326, 446, 331, 451, 328, 448, 329, 449)(330, 450, 349, 469, 332, 452, 350, 470)(333, 453, 351, 471, 335, 455, 352, 472)(334, 454, 339, 459, 336, 456, 337, 457)(338, 458, 343, 463, 340, 460, 341, 461)(342, 462, 353, 473, 344, 464, 354, 474)(345, 465, 355, 475, 347, 467, 356, 476)(357, 477, 360, 480, 358, 478, 359, 479)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 256)(7, 253)(8, 242)(9, 261)(10, 246)(11, 263)(12, 248)(13, 244)(14, 265)(15, 267)(16, 245)(17, 269)(18, 271)(19, 273)(20, 275)(21, 264)(22, 249)(23, 262)(24, 251)(25, 268)(26, 254)(27, 266)(28, 255)(29, 272)(30, 257)(31, 270)(32, 258)(33, 276)(34, 259)(35, 274)(36, 260)(37, 291)(38, 292)(39, 295)(40, 297)(41, 299)(42, 301)(43, 303)(44, 304)(45, 284)(46, 283)(47, 305)(48, 307)(49, 309)(50, 311)(51, 294)(52, 293)(53, 277)(54, 278)(55, 298)(56, 279)(57, 296)(58, 280)(59, 302)(60, 281)(61, 300)(62, 282)(63, 285)(64, 286)(65, 308)(66, 287)(67, 306)(68, 288)(69, 312)(70, 289)(71, 310)(72, 290)(73, 325)(74, 327)(75, 329)(76, 331)(77, 333)(78, 335)(79, 337)(80, 339)(81, 341)(82, 343)(83, 345)(84, 347)(85, 328)(86, 313)(87, 326)(88, 314)(89, 332)(90, 315)(91, 330)(92, 316)(93, 336)(94, 317)(95, 334)(96, 318)(97, 340)(98, 319)(99, 338)(100, 320)(101, 344)(102, 321)(103, 342)(104, 322)(105, 348)(106, 323)(107, 346)(108, 324)(109, 357)(110, 358)(111, 349)(112, 350)(113, 359)(114, 360)(115, 353)(116, 354)(117, 352)(118, 351)(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) :: { ( 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1869
Graph:: simple bipartite
	v = 150 e = 240 f = 44
	degree seq :: [ 2^120, 8^30 ]

E24.1871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y1^3 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y1 * Y3^2)^3, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 10, 130, 13, 133, 4, 124)(3, 123, 9, 129, 16, 136, 5, 125, 15, 135, 11, 131)(7, 127, 17, 137, 20, 140, 8, 128, 19, 139, 18, 138)(12, 132, 25, 145, 28, 148, 14, 134, 27, 147, 26, 146)(21, 141, 33, 153, 36, 156, 22, 142, 35, 155, 34, 154)(23, 143, 37, 157, 40, 160, 24, 144, 39, 159, 38, 158)(29, 149, 45, 165, 48, 168, 30, 150, 47, 167, 46, 166)(31, 151, 49, 169, 52, 172, 32, 152, 51, 171, 50, 170)(41, 161, 59, 179, 62, 182, 42, 162, 61, 181, 60, 180)(43, 163, 63, 183, 54, 174, 44, 164, 64, 184, 53, 173)(55, 175, 69, 189, 72, 192, 56, 176, 71, 191, 70, 190)(57, 177, 73, 193, 76, 196, 58, 178, 75, 195, 74, 194)(65, 185, 81, 201, 84, 204, 66, 186, 83, 203, 82, 202)(67, 187, 85, 205, 88, 208, 68, 188, 87, 207, 86, 206)(77, 197, 93, 213, 96, 216, 78, 198, 95, 215, 94, 214)(79, 199, 97, 217, 100, 220, 80, 200, 99, 219, 98, 218)(89, 209, 105, 225, 108, 228, 90, 210, 107, 227, 106, 226)(91, 211, 109, 229, 101, 221, 92, 212, 110, 230, 102, 222)(103, 223, 113, 233, 112, 232, 104, 224, 114, 234, 111, 231)(115, 235, 120, 240, 118, 238, 116, 236, 119, 239, 117, 237)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 254)(7, 253)(8, 242)(9, 261)(10, 245)(11, 263)(12, 246)(13, 248)(14, 244)(15, 262)(16, 264)(17, 269)(18, 271)(19, 270)(20, 272)(21, 255)(22, 249)(23, 256)(24, 251)(25, 281)(26, 283)(27, 282)(28, 284)(29, 259)(30, 257)(31, 260)(32, 258)(33, 293)(34, 295)(35, 294)(36, 296)(37, 297)(38, 287)(39, 298)(40, 285)(41, 267)(42, 265)(43, 268)(44, 266)(45, 278)(46, 305)(47, 280)(48, 306)(49, 307)(50, 299)(51, 308)(52, 301)(53, 275)(54, 273)(55, 276)(56, 274)(57, 279)(58, 277)(59, 292)(60, 317)(61, 290)(62, 318)(63, 319)(64, 320)(65, 288)(66, 286)(67, 291)(68, 289)(69, 329)(70, 313)(71, 330)(72, 315)(73, 312)(74, 331)(75, 310)(76, 332)(77, 302)(78, 300)(79, 304)(80, 303)(81, 341)(82, 325)(83, 342)(84, 327)(85, 324)(86, 343)(87, 322)(88, 344)(89, 311)(90, 309)(91, 316)(92, 314)(93, 351)(94, 337)(95, 352)(96, 339)(97, 336)(98, 347)(99, 334)(100, 345)(101, 323)(102, 321)(103, 328)(104, 326)(105, 338)(106, 355)(107, 340)(108, 356)(109, 357)(110, 358)(111, 335)(112, 333)(113, 359)(114, 360)(115, 348)(116, 346)(117, 350)(118, 349)(119, 354)(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) :: { ( 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1868
Graph:: simple bipartite
	v = 140 e = 240 f = 54
	degree seq :: [ 2^120, 12^20 ]

E24.1872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, (Y1^-1 * Y3)^2, Y3^4, (R * Y3)^2, Y1 * Y3^-2 * Y1, (R * Y1)^2, Y2^-2 * Y3 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3, (Y3 * Y2^-1)^5, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 16, 136, 11, 131)(5, 125, 14, 134, 10, 130, 15, 135)(7, 127, 17, 137, 12, 132, 18, 138)(8, 128, 19, 139, 13, 133, 20, 140)(21, 141, 37, 157, 23, 143, 38, 158)(22, 142, 39, 159, 24, 144, 40, 160)(25, 145, 41, 161, 27, 147, 42, 162)(26, 146, 43, 163, 28, 148, 44, 164)(29, 149, 45, 165, 31, 151, 46, 166)(30, 150, 47, 167, 32, 152, 48, 168)(33, 153, 49, 169, 35, 155, 50, 170)(34, 154, 51, 171, 36, 156, 52, 172)(53, 173, 73, 193, 54, 174, 74, 194)(55, 175, 75, 195, 57, 177, 76, 196)(56, 176, 59, 179, 58, 178, 61, 181)(60, 180, 77, 197, 62, 182, 78, 198)(63, 183, 79, 199, 64, 184, 80, 200)(65, 185, 81, 201, 67, 187, 82, 202)(66, 186, 69, 189, 68, 188, 71, 191)(70, 190, 83, 203, 72, 192, 84, 204)(85, 205, 108, 228, 87, 207, 106, 226)(86, 206, 89, 209, 88, 208, 91, 211)(90, 210, 109, 229, 92, 212, 110, 230)(93, 213, 111, 231, 95, 215, 112, 232)(94, 214, 97, 217, 96, 216, 99, 219)(98, 218, 103, 223, 100, 220, 101, 221)(102, 222, 113, 233, 104, 224, 114, 234)(105, 225, 115, 235, 107, 227, 116, 236)(117, 237, 120, 240, 118, 238, 119, 239)(241, 361, 243, 363, 250, 370, 246, 366, 256, 376, 245, 365)(242, 362, 247, 367, 253, 373, 244, 364, 252, 372, 248, 368)(249, 369, 261, 381, 264, 384, 251, 371, 263, 383, 262, 382)(254, 374, 265, 385, 268, 388, 255, 375, 267, 387, 266, 386)(257, 377, 269, 389, 272, 392, 258, 378, 271, 391, 270, 390)(259, 379, 273, 393, 276, 396, 260, 380, 275, 395, 274, 394)(277, 397, 292, 412, 294, 414, 278, 398, 291, 411, 293, 413)(279, 399, 295, 415, 298, 418, 280, 400, 297, 417, 296, 416)(281, 401, 299, 419, 302, 422, 282, 402, 301, 421, 300, 420)(283, 403, 303, 423, 286, 406, 284, 404, 304, 424, 285, 405)(287, 407, 305, 425, 308, 428, 288, 408, 307, 427, 306, 426)(289, 409, 309, 429, 312, 432, 290, 410, 311, 431, 310, 430)(313, 433, 325, 445, 328, 448, 314, 434, 327, 447, 326, 446)(315, 435, 329, 449, 332, 452, 316, 436, 331, 451, 330, 450)(317, 437, 333, 453, 336, 456, 318, 438, 335, 455, 334, 454)(319, 439, 337, 457, 340, 460, 320, 440, 339, 459, 338, 458)(321, 441, 341, 461, 344, 464, 322, 442, 343, 463, 342, 462)(323, 443, 345, 465, 348, 468, 324, 444, 347, 467, 346, 466)(349, 469, 357, 477, 352, 472, 350, 470, 358, 478, 351, 471)(353, 473, 359, 479, 356, 476, 354, 474, 360, 480, 355, 475)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 258)(8, 260)(9, 243)(10, 254)(11, 256)(12, 257)(13, 259)(14, 245)(15, 250)(16, 249)(17, 247)(18, 252)(19, 248)(20, 253)(21, 278)(22, 280)(23, 277)(24, 279)(25, 282)(26, 284)(27, 281)(28, 283)(29, 286)(30, 288)(31, 285)(32, 287)(33, 290)(34, 292)(35, 289)(36, 291)(37, 261)(38, 263)(39, 262)(40, 264)(41, 265)(42, 267)(43, 266)(44, 268)(45, 269)(46, 271)(47, 270)(48, 272)(49, 273)(50, 275)(51, 274)(52, 276)(53, 314)(54, 313)(55, 316)(56, 301)(57, 315)(58, 299)(59, 296)(60, 318)(61, 298)(62, 317)(63, 320)(64, 319)(65, 322)(66, 311)(67, 321)(68, 309)(69, 306)(70, 324)(71, 308)(72, 323)(73, 293)(74, 294)(75, 295)(76, 297)(77, 300)(78, 302)(79, 303)(80, 304)(81, 305)(82, 307)(83, 310)(84, 312)(85, 346)(86, 331)(87, 348)(88, 329)(89, 326)(90, 350)(91, 328)(92, 349)(93, 352)(94, 339)(95, 351)(96, 337)(97, 334)(98, 341)(99, 336)(100, 343)(101, 340)(102, 354)(103, 338)(104, 353)(105, 356)(106, 327)(107, 355)(108, 325)(109, 330)(110, 332)(111, 333)(112, 335)(113, 342)(114, 344)(115, 345)(116, 347)(117, 359)(118, 360)(119, 358)(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) :: { ( 2, 10, 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1873
Graph:: bipartite
	v = 50 e = 240 f = 144
	degree seq :: [ 8^30, 12^20 ]

E24.1873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y1^5, (R * Y2 * Y3^-1)^2, Y3^6, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 24, 144, 29, 149, 11, 131)(5, 125, 15, 135, 36, 156, 38, 158, 16, 136)(7, 127, 10, 130, 26, 146, 47, 167, 21, 141)(8, 128, 22, 142, 48, 168, 50, 170, 23, 143)(12, 132, 30, 150, 59, 179, 60, 180, 31, 151)(14, 134, 34, 154, 63, 183, 40, 160, 17, 137)(18, 138, 20, 140, 45, 165, 69, 189, 42, 162)(19, 139, 43, 163, 70, 190, 72, 192, 44, 164)(25, 145, 27, 147, 39, 159, 51, 171, 54, 174)(28, 148, 55, 175, 80, 200, 81, 201, 56, 176)(32, 152, 41, 161, 67, 187, 87, 207, 61, 181)(33, 153, 62, 182, 77, 197, 52, 172, 35, 155)(37, 157, 58, 178, 83, 203, 90, 210, 66, 186)(46, 166, 65, 185, 89, 209, 95, 215, 73, 193)(49, 169, 74, 194, 96, 216, 98, 218, 76, 196)(53, 173, 78, 198, 100, 220, 101, 221, 79, 199)(57, 177, 64, 184, 86, 206, 104, 224, 82, 202)(68, 188, 75, 195, 97, 217, 109, 229, 91, 211)(71, 191, 92, 212, 110, 230, 112, 232, 94, 214)(84, 204, 93, 213, 111, 231, 115, 235, 99, 219)(85, 205, 88, 208, 107, 227, 118, 238, 106, 226)(102, 222, 116, 236, 120, 240, 114, 234, 108, 228)(103, 223, 105, 225, 117, 237, 119, 239, 113, 233)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 260)(8, 242)(9, 265)(10, 267)(11, 268)(12, 249)(13, 272)(14, 244)(15, 251)(16, 248)(17, 245)(18, 281)(19, 246)(20, 279)(21, 286)(22, 261)(23, 259)(24, 292)(25, 275)(26, 280)(27, 257)(28, 266)(29, 297)(30, 294)(31, 293)(32, 270)(33, 253)(34, 271)(35, 254)(36, 296)(37, 255)(38, 289)(39, 256)(40, 277)(41, 291)(42, 308)(43, 282)(44, 273)(45, 278)(46, 285)(47, 306)(48, 313)(49, 262)(50, 311)(51, 263)(52, 304)(53, 264)(54, 284)(55, 303)(56, 314)(57, 295)(58, 269)(59, 312)(60, 325)(61, 324)(62, 301)(63, 319)(64, 274)(65, 276)(66, 305)(67, 290)(68, 307)(69, 316)(70, 331)(71, 283)(72, 328)(73, 332)(74, 287)(75, 288)(76, 315)(77, 339)(78, 317)(79, 298)(80, 341)(81, 343)(82, 342)(83, 322)(84, 299)(85, 318)(86, 300)(87, 334)(88, 302)(89, 321)(90, 348)(91, 347)(92, 309)(93, 310)(94, 333)(95, 353)(96, 330)(97, 335)(98, 354)(99, 326)(100, 355)(101, 345)(102, 320)(103, 336)(104, 346)(105, 323)(106, 356)(107, 327)(108, 329)(109, 359)(110, 338)(111, 349)(112, 360)(113, 350)(114, 337)(115, 357)(116, 340)(117, 344)(118, 352)(119, 358)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1872
Graph:: simple bipartite
	v = 144 e = 240 f = 50
	degree seq :: [ 2^120, 10^24 ]

E24.1874 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^5, (T2 * T1 * T2 * T1 * T2)^2, T2^2 * T1^-2 * T2^2 * T1^-1 * T2^-1 * T1 * T2 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 14, 5)(2, 7, 18, 20, 8)(4, 11, 25, 27, 12)(6, 15, 32, 34, 16)(9, 21, 42, 44, 22)(13, 28, 53, 55, 29)(17, 35, 64, 66, 36)(19, 38, 69, 71, 39)(23, 45, 80, 56, 30)(24, 46, 82, 84, 47)(26, 49, 87, 79, 50)(31, 57, 94, 96, 58)(33, 60, 99, 101, 61)(37, 67, 91, 72, 40)(41, 73, 54, 92, 74)(43, 76, 98, 114, 77)(48, 85, 78, 75, 51)(52, 89, 117, 95, 90)(59, 97, 109, 102, 62)(63, 103, 70, 110, 104)(65, 105, 86, 112, 106)(68, 107, 116, 83, 108)(81, 111, 88, 113, 115)(93, 118, 100, 120, 119)(121, 122, 126, 124)(123, 129, 139, 128)(125, 131, 144, 133)(127, 137, 153, 136)(130, 143, 163, 142)(132, 135, 151, 146)(134, 148, 172, 150)(138, 157, 185, 156)(140, 158, 188, 160)(141, 161, 190, 159)(145, 168, 203, 167)(147, 169, 206, 171)(149, 166, 201, 174)(152, 179, 215, 178)(154, 180, 218, 182)(155, 183, 220, 181)(162, 195, 232, 194)(164, 196, 219, 198)(165, 199, 233, 197)(170, 177, 213, 208)(173, 211, 216, 210)(175, 212, 226, 187)(176, 209, 224, 184)(186, 225, 207, 200)(189, 229, 204, 228)(191, 230, 237, 217)(192, 227, 239, 214)(193, 231, 238, 223)(202, 222, 234, 235)(205, 221, 240, 236)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12^4 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E24.1882
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 120 f = 20
	degree seq :: [ 4^30, 5^24 ]

E24.1875 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1^-1 * T2^-1)^2, (T2, T1)^2, (T2^-1 * T1)^4, (T1^-2 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 16, 5)(2, 7, 20, 24, 8)(4, 12, 33, 28, 13)(6, 17, 43, 47, 18)(9, 26, 15, 40, 27)(11, 30, 67, 41, 31)(14, 38, 29, 65, 39)(19, 49, 23, 57, 50)(21, 52, 61, 58, 53)(22, 55, 51, 96, 56)(25, 59, 83, 104, 60)(32, 71, 36, 78, 68)(34, 73, 107, 64, 74)(35, 76, 72, 62, 77)(37, 79, 106, 63, 80)(42, 84, 46, 91, 85)(44, 87, 94, 92, 88)(45, 89, 86, 109, 90)(48, 75, 102, 105, 93)(54, 99, 117, 95, 70)(66, 82, 69, 108, 81)(97, 101, 98, 118, 100)(103, 119, 111, 110, 112)(113, 116, 114, 120, 115)(121, 122, 126, 124)(123, 129, 145, 131)(125, 134, 157, 135)(127, 139, 168, 141)(128, 142, 174, 143)(130, 148, 184, 149)(132, 152, 190, 154)(133, 155, 195, 156)(136, 161, 171, 140)(137, 162, 200, 164)(138, 165, 179, 166)(144, 178, 206, 163)(146, 181, 225, 182)(147, 183, 218, 173)(150, 186, 221, 176)(151, 188, 213, 189)(153, 167, 212, 192)(158, 201, 222, 177)(159, 193, 230, 202)(160, 196, 231, 203)(169, 214, 226, 185)(170, 215, 234, 208)(172, 217, 236, 210)(175, 220, 199, 211)(180, 223, 194, 205)(187, 224, 229, 191)(197, 207, 233, 232)(198, 209, 235, 219)(204, 227, 237, 216)(228, 239, 240, 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) :: { ( 12^4 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E24.1883
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 120 f = 20
	degree seq :: [ 4^30, 5^24 ]

E24.1876 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T1^5, (T1 * T2 * T1)^2, (T2 * T1^2)^2, (T2^2 * T1^-1)^2, T2^6, T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^2 * T2^-2 * T1^-1 * T2^2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 21, 51, 25, 8)(4, 12, 35, 76, 39, 14)(6, 18, 45, 85, 47, 19)(9, 27, 60, 101, 64, 28)(11, 31, 15, 41, 73, 33)(13, 37, 78, 99, 59, 26)(16, 42, 68, 110, 83, 43)(20, 48, 88, 118, 89, 49)(22, 52, 23, 55, 94, 53)(24, 56, 92, 119, 97, 57)(29, 66, 106, 84, 44, 67)(32, 71, 113, 95, 54, 65)(34, 63, 104, 120, 115, 74)(36, 77, 38, 61, 102, 62)(40, 80, 46, 86, 114, 81)(50, 90, 103, 98, 58, 91)(69, 109, 93, 117, 82, 111)(70, 112, 72, 107, 87, 108)(75, 105, 96, 100, 79, 116)(121, 122, 126, 133, 124)(123, 129, 146, 152, 131)(125, 135, 160, 138, 136)(127, 140, 134, 158, 142)(128, 143, 174, 157, 144)(130, 149, 185, 178, 145)(132, 154, 139, 166, 156)(137, 155, 195, 200, 164)(141, 170, 197, 207, 167)(147, 169, 153, 192, 181)(148, 182, 223, 191, 183)(150, 188, 218, 225, 184)(151, 189, 179, 165, 190)(159, 198, 213, 172, 199)(161, 168, 163, 173, 202)(162, 177, 201, 216, 175)(171, 212, 227, 186, 209)(176, 194, 215, 226, 206)(180, 220, 232, 217, 219)(187, 228, 236, 211, 229)(193, 233, 214, 222, 234)(196, 208, 204, 237, 235)(203, 205, 224, 231, 210)(221, 240, 239, 230, 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) :: { ( 8^5 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1884
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 120 f = 30
	degree seq :: [ 5^24, 6^20 ]

E24.1877 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, T2^6, T2 * T1^-1 * T2^-1 * T1^2 * T2^-2 * T1, (T2^2 * T1^-2)^2, (T2^-1 * T1^-1)^4, (T1 * T2^2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 15, 5)(2, 7, 19, 45, 21, 8)(4, 11, 28, 59, 32, 13)(6, 16, 38, 75, 40, 17)(9, 23, 52, 76, 39, 24)(12, 29, 61, 100, 63, 30)(14, 33, 60, 99, 69, 35)(18, 42, 79, 95, 62, 43)(20, 46, 27, 57, 83, 47)(22, 49, 86, 112, 88, 50)(25, 54, 66, 98, 87, 55)(31, 64, 37, 73, 90, 51)(34, 67, 93, 114, 103, 68)(36, 56, 94, 81, 44, 71)(41, 77, 109, 118, 110, 78)(48, 82, 85, 107, 74, 84)(53, 91, 108, 104, 70, 92)(58, 96, 80, 111, 102, 97)(65, 89, 113, 119, 115, 101)(72, 105, 116, 120, 117, 106)(121, 122, 126, 132, 124)(123, 129, 142, 140, 128)(125, 131, 147, 154, 134)(127, 138, 161, 159, 137)(130, 145, 173, 160, 144)(133, 149, 180, 185, 151)(135, 153, 181, 190, 156)(136, 157, 192, 182, 150)(139, 164, 200, 183, 163)(141, 166, 148, 178, 168)(143, 171, 209, 207, 170)(146, 176, 213, 208, 175)(152, 184, 158, 194, 186)(155, 187, 214, 198, 162)(165, 202, 206, 230, 201)(167, 169, 205, 226, 193)(172, 189, 199, 203, 210)(174, 204, 216, 191, 212)(177, 215, 225, 222, 188)(179, 218, 233, 223, 217)(195, 211, 229, 237, 227)(196, 197, 228, 221, 219)(220, 231, 236, 235, 224)(232, 234, 239, 240, 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) :: { ( 8^5 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1885
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 120 f = 30
	degree seq :: [ 5^24, 6^20 ]

E24.1878 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T2^4, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2)^2, T1^6, (T1^-2 * T2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1 * T2 * T1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 43, 19)(9, 26, 16, 27)(11, 29, 15, 31)(13, 34, 61, 35)(17, 40, 72, 41)(20, 48, 24, 49)(22, 50, 23, 52)(25, 55, 39, 56)(30, 64, 38, 65)(32, 68, 37, 69)(33, 70, 36, 71)(42, 73, 46, 74)(44, 75, 45, 76)(47, 77, 54, 78)(51, 85, 53, 86)(57, 94, 60, 95)(58, 82, 59, 79)(62, 99, 67, 100)(63, 83, 66, 88)(80, 108, 81, 105)(84, 109, 87, 112)(89, 115, 92, 114)(90, 107, 91, 106)(93, 118, 98, 119)(96, 111, 97, 110)(101, 116, 102, 113)(103, 120, 104, 117)(121, 122, 126, 137, 133, 124)(123, 129, 145, 161, 150, 131)(125, 135, 158, 160, 159, 136)(127, 140, 167, 155, 171, 142)(128, 143, 173, 154, 174, 144)(130, 148, 181, 192, 163, 141)(132, 152, 166, 139, 165, 153)(134, 156, 164, 138, 162, 157)(146, 177, 213, 185, 216, 178)(147, 179, 217, 184, 218, 180)(149, 182, 212, 176, 211, 183)(151, 186, 210, 175, 209, 187)(168, 199, 237, 206, 238, 200)(169, 201, 239, 205, 240, 202)(170, 203, 236, 198, 235, 204)(172, 207, 234, 197, 233, 208)(188, 221, 230, 195, 229, 214)(189, 215, 232, 196, 231, 222)(190, 223, 226, 193, 225, 220)(191, 219, 228, 194, 227, 224)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1880
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 120 f = 24
	degree seq :: [ 4^30, 6^20 ]

E24.1879 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1^-1 * T2^-1 * T1^-1)^2, (T1^-1 * T2)^3, T1^6, (T2^-1, T1)^2, T2^2 * T1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 33, 14)(6, 18, 43, 19)(9, 26, 60, 27)(11, 23, 54, 31)(13, 35, 58, 25)(15, 38, 74, 34)(16, 39, 79, 40)(17, 41, 81, 42)(20, 47, 92, 48)(22, 45, 88, 52)(24, 55, 103, 56)(28, 64, 104, 65)(29, 62, 107, 67)(30, 68, 108, 63)(32, 70, 111, 69)(36, 76, 102, 75)(37, 66, 110, 77)(44, 83, 59, 86)(46, 89, 115, 90)(49, 96, 116, 97)(50, 94, 61, 99)(51, 100, 117, 95)(53, 98, 118, 101)(57, 91, 78, 82)(71, 85, 80, 93)(72, 106, 112, 84)(73, 109, 119, 105)(87, 113, 120, 114)(121, 122, 126, 137, 133, 124)(123, 129, 145, 177, 150, 131)(125, 135, 157, 164, 138, 136)(127, 140, 134, 156, 171, 142)(128, 143, 173, 202, 161, 144)(130, 148, 183, 212, 186, 149)(132, 152, 162, 203, 193, 154)(139, 165, 207, 195, 155, 166)(141, 169, 215, 199, 218, 170)(146, 179, 151, 189, 226, 181)(147, 182, 213, 167, 211, 172)(153, 191, 225, 180, 220, 192)(158, 198, 160, 200, 217, 175)(159, 196, 206, 168, 214, 185)(163, 204, 197, 223, 233, 205)(174, 222, 176, 224, 232, 209)(178, 219, 234, 231, 188, 216)(184, 201, 187, 221, 235, 229)(190, 208, 194, 210, 236, 227)(228, 239, 240, 238, 230, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1881
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 120 f = 24
	degree seq :: [ 4^30, 6^20 ]

E24.1880 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^5, (T2 * T1 * T2 * T1 * T2)^2, T2^2 * T1^-2 * T2^2 * T1^-1 * T2^-1 * T1 * T2 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 14, 134, 5, 125)(2, 122, 7, 127, 18, 138, 20, 140, 8, 128)(4, 124, 11, 131, 25, 145, 27, 147, 12, 132)(6, 126, 15, 135, 32, 152, 34, 154, 16, 136)(9, 129, 21, 141, 42, 162, 44, 164, 22, 142)(13, 133, 28, 148, 53, 173, 55, 175, 29, 149)(17, 137, 35, 155, 64, 184, 66, 186, 36, 156)(19, 139, 38, 158, 69, 189, 71, 191, 39, 159)(23, 143, 45, 165, 80, 200, 56, 176, 30, 150)(24, 144, 46, 166, 82, 202, 84, 204, 47, 167)(26, 146, 49, 169, 87, 207, 79, 199, 50, 170)(31, 151, 57, 177, 94, 214, 96, 216, 58, 178)(33, 153, 60, 180, 99, 219, 101, 221, 61, 181)(37, 157, 67, 187, 91, 211, 72, 192, 40, 160)(41, 161, 73, 193, 54, 174, 92, 212, 74, 194)(43, 163, 76, 196, 98, 218, 114, 234, 77, 197)(48, 168, 85, 205, 78, 198, 75, 195, 51, 171)(52, 172, 89, 209, 117, 237, 95, 215, 90, 210)(59, 179, 97, 217, 109, 229, 102, 222, 62, 182)(63, 183, 103, 223, 70, 190, 110, 230, 104, 224)(65, 185, 105, 225, 86, 206, 112, 232, 106, 226)(68, 188, 107, 227, 116, 236, 83, 203, 108, 228)(81, 201, 111, 231, 88, 208, 113, 233, 115, 235)(93, 213, 118, 238, 100, 220, 120, 240, 119, 239)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 131)(6, 124)(7, 137)(8, 123)(9, 139)(10, 143)(11, 144)(12, 135)(13, 125)(14, 148)(15, 151)(16, 127)(17, 153)(18, 157)(19, 128)(20, 158)(21, 161)(22, 130)(23, 163)(24, 133)(25, 168)(26, 132)(27, 169)(28, 172)(29, 166)(30, 134)(31, 146)(32, 179)(33, 136)(34, 180)(35, 183)(36, 138)(37, 185)(38, 188)(39, 141)(40, 140)(41, 190)(42, 195)(43, 142)(44, 196)(45, 199)(46, 201)(47, 145)(48, 203)(49, 206)(50, 177)(51, 147)(52, 150)(53, 211)(54, 149)(55, 212)(56, 209)(57, 213)(58, 152)(59, 215)(60, 218)(61, 155)(62, 154)(63, 220)(64, 176)(65, 156)(66, 225)(67, 175)(68, 160)(69, 229)(70, 159)(71, 230)(72, 227)(73, 231)(74, 162)(75, 232)(76, 219)(77, 165)(78, 164)(79, 233)(80, 186)(81, 174)(82, 222)(83, 167)(84, 228)(85, 221)(86, 171)(87, 200)(88, 170)(89, 224)(90, 173)(91, 216)(92, 226)(93, 208)(94, 192)(95, 178)(96, 210)(97, 191)(98, 182)(99, 198)(100, 181)(101, 240)(102, 234)(103, 193)(104, 184)(105, 207)(106, 187)(107, 239)(108, 189)(109, 204)(110, 237)(111, 238)(112, 194)(113, 197)(114, 235)(115, 202)(116, 205)(117, 217)(118, 223)(119, 214)(120, 236)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1878
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 120 f = 50
	degree seq :: [ 10^24 ]

E24.1881 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1^-1 * T2^-1)^2, (T2, T1)^2, (T2^-1 * T1)^4, (T1^-2 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 16, 136, 5, 125)(2, 122, 7, 127, 20, 140, 24, 144, 8, 128)(4, 124, 12, 132, 33, 153, 28, 148, 13, 133)(6, 126, 17, 137, 43, 163, 47, 167, 18, 138)(9, 129, 26, 146, 15, 135, 40, 160, 27, 147)(11, 131, 30, 150, 67, 187, 41, 161, 31, 151)(14, 134, 38, 158, 29, 149, 65, 185, 39, 159)(19, 139, 49, 169, 23, 143, 57, 177, 50, 170)(21, 141, 52, 172, 61, 181, 58, 178, 53, 173)(22, 142, 55, 175, 51, 171, 96, 216, 56, 176)(25, 145, 59, 179, 83, 203, 104, 224, 60, 180)(32, 152, 71, 191, 36, 156, 78, 198, 68, 188)(34, 154, 73, 193, 107, 227, 64, 184, 74, 194)(35, 155, 76, 196, 72, 192, 62, 182, 77, 197)(37, 157, 79, 199, 106, 226, 63, 183, 80, 200)(42, 162, 84, 204, 46, 166, 91, 211, 85, 205)(44, 164, 87, 207, 94, 214, 92, 212, 88, 208)(45, 165, 89, 209, 86, 206, 109, 229, 90, 210)(48, 168, 75, 195, 102, 222, 105, 225, 93, 213)(54, 174, 99, 219, 117, 237, 95, 215, 70, 190)(66, 186, 82, 202, 69, 189, 108, 228, 81, 201)(97, 217, 101, 221, 98, 218, 118, 238, 100, 220)(103, 223, 119, 239, 111, 231, 110, 230, 112, 232)(113, 233, 116, 236, 114, 234, 120, 240, 115, 235)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 124)(7, 139)(8, 142)(9, 145)(10, 148)(11, 123)(12, 152)(13, 155)(14, 157)(15, 125)(16, 161)(17, 162)(18, 165)(19, 168)(20, 136)(21, 127)(22, 174)(23, 128)(24, 178)(25, 131)(26, 181)(27, 183)(28, 184)(29, 130)(30, 186)(31, 188)(32, 190)(33, 167)(34, 132)(35, 195)(36, 133)(37, 135)(38, 201)(39, 193)(40, 196)(41, 171)(42, 200)(43, 144)(44, 137)(45, 179)(46, 138)(47, 212)(48, 141)(49, 214)(50, 215)(51, 140)(52, 217)(53, 147)(54, 143)(55, 220)(56, 150)(57, 158)(58, 206)(59, 166)(60, 223)(61, 225)(62, 146)(63, 218)(64, 149)(65, 169)(66, 221)(67, 224)(68, 213)(69, 151)(70, 154)(71, 187)(72, 153)(73, 230)(74, 205)(75, 156)(76, 231)(77, 207)(78, 209)(79, 211)(80, 164)(81, 222)(82, 159)(83, 160)(84, 227)(85, 180)(86, 163)(87, 233)(88, 170)(89, 235)(90, 172)(91, 175)(92, 192)(93, 189)(94, 226)(95, 234)(96, 204)(97, 236)(98, 173)(99, 198)(100, 199)(101, 176)(102, 177)(103, 194)(104, 229)(105, 182)(106, 185)(107, 237)(108, 239)(109, 191)(110, 202)(111, 203)(112, 197)(113, 232)(114, 208)(115, 219)(116, 210)(117, 216)(118, 228)(119, 240)(120, 238)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1879
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 120 f = 50
	degree seq :: [ 10^24 ]

E24.1882 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T1^5, (T1 * T2 * T1)^2, (T2 * T1^2)^2, (T2^2 * T1^-1)^2, T2^6, T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^2 * T2^-2 * T1^-1 * T2^2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 30, 150, 17, 137, 5, 125)(2, 122, 7, 127, 21, 141, 51, 171, 25, 145, 8, 128)(4, 124, 12, 132, 35, 155, 76, 196, 39, 159, 14, 134)(6, 126, 18, 138, 45, 165, 85, 205, 47, 167, 19, 139)(9, 129, 27, 147, 60, 180, 101, 221, 64, 184, 28, 148)(11, 131, 31, 151, 15, 135, 41, 161, 73, 193, 33, 153)(13, 133, 37, 157, 78, 198, 99, 219, 59, 179, 26, 146)(16, 136, 42, 162, 68, 188, 110, 230, 83, 203, 43, 163)(20, 140, 48, 168, 88, 208, 118, 238, 89, 209, 49, 169)(22, 142, 52, 172, 23, 143, 55, 175, 94, 214, 53, 173)(24, 144, 56, 176, 92, 212, 119, 239, 97, 217, 57, 177)(29, 149, 66, 186, 106, 226, 84, 204, 44, 164, 67, 187)(32, 152, 71, 191, 113, 233, 95, 215, 54, 174, 65, 185)(34, 154, 63, 183, 104, 224, 120, 240, 115, 235, 74, 194)(36, 156, 77, 197, 38, 158, 61, 181, 102, 222, 62, 182)(40, 160, 80, 200, 46, 166, 86, 206, 114, 234, 81, 201)(50, 170, 90, 210, 103, 223, 98, 218, 58, 178, 91, 211)(69, 189, 109, 229, 93, 213, 117, 237, 82, 202, 111, 231)(70, 190, 112, 232, 72, 192, 107, 227, 87, 207, 108, 228)(75, 195, 105, 225, 96, 216, 100, 220, 79, 199, 116, 236)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 133)(7, 140)(8, 143)(9, 146)(10, 149)(11, 123)(12, 154)(13, 124)(14, 158)(15, 160)(16, 125)(17, 155)(18, 136)(19, 166)(20, 134)(21, 170)(22, 127)(23, 174)(24, 128)(25, 130)(26, 152)(27, 169)(28, 182)(29, 185)(30, 188)(31, 189)(32, 131)(33, 192)(34, 139)(35, 195)(36, 132)(37, 144)(38, 142)(39, 198)(40, 138)(41, 168)(42, 177)(43, 173)(44, 137)(45, 190)(46, 156)(47, 141)(48, 163)(49, 153)(50, 197)(51, 212)(52, 199)(53, 202)(54, 157)(55, 162)(56, 194)(57, 201)(58, 145)(59, 165)(60, 220)(61, 147)(62, 223)(63, 148)(64, 150)(65, 178)(66, 209)(67, 228)(68, 218)(69, 179)(70, 151)(71, 183)(72, 181)(73, 233)(74, 215)(75, 200)(76, 208)(77, 207)(78, 213)(79, 159)(80, 164)(81, 216)(82, 161)(83, 205)(84, 237)(85, 224)(86, 176)(87, 167)(88, 204)(89, 171)(90, 203)(91, 229)(92, 227)(93, 172)(94, 222)(95, 226)(96, 175)(97, 219)(98, 225)(99, 180)(100, 232)(101, 240)(102, 234)(103, 191)(104, 231)(105, 184)(106, 206)(107, 186)(108, 236)(109, 187)(110, 238)(111, 210)(112, 217)(113, 214)(114, 193)(115, 196)(116, 211)(117, 235)(118, 221)(119, 230)(120, 239)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E24.1874
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 54
	degree seq :: [ 12^20 ]

E24.1883 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, T2^6, T2 * T1^-1 * T2^-1 * T1^2 * T2^-2 * T1, (T2^2 * T1^-2)^2, (T2^-1 * T1^-1)^4, (T1 * T2^2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 26, 146, 15, 135, 5, 125)(2, 122, 7, 127, 19, 139, 45, 165, 21, 141, 8, 128)(4, 124, 11, 131, 28, 148, 59, 179, 32, 152, 13, 133)(6, 126, 16, 136, 38, 158, 75, 195, 40, 160, 17, 137)(9, 129, 23, 143, 52, 172, 76, 196, 39, 159, 24, 144)(12, 132, 29, 149, 61, 181, 100, 220, 63, 183, 30, 150)(14, 134, 33, 153, 60, 180, 99, 219, 69, 189, 35, 155)(18, 138, 42, 162, 79, 199, 95, 215, 62, 182, 43, 163)(20, 140, 46, 166, 27, 147, 57, 177, 83, 203, 47, 167)(22, 142, 49, 169, 86, 206, 112, 232, 88, 208, 50, 170)(25, 145, 54, 174, 66, 186, 98, 218, 87, 207, 55, 175)(31, 151, 64, 184, 37, 157, 73, 193, 90, 210, 51, 171)(34, 154, 67, 187, 93, 213, 114, 234, 103, 223, 68, 188)(36, 156, 56, 176, 94, 214, 81, 201, 44, 164, 71, 191)(41, 161, 77, 197, 109, 229, 118, 238, 110, 230, 78, 198)(48, 168, 82, 202, 85, 205, 107, 227, 74, 194, 84, 204)(53, 173, 91, 211, 108, 228, 104, 224, 70, 190, 92, 212)(58, 178, 96, 216, 80, 200, 111, 231, 102, 222, 97, 217)(65, 185, 89, 209, 113, 233, 119, 239, 115, 235, 101, 221)(72, 192, 105, 225, 116, 236, 120, 240, 117, 237, 106, 226)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 131)(6, 132)(7, 138)(8, 123)(9, 142)(10, 145)(11, 147)(12, 124)(13, 149)(14, 125)(15, 153)(16, 157)(17, 127)(18, 161)(19, 164)(20, 128)(21, 166)(22, 140)(23, 171)(24, 130)(25, 173)(26, 176)(27, 154)(28, 178)(29, 180)(30, 136)(31, 133)(32, 184)(33, 181)(34, 134)(35, 187)(36, 135)(37, 192)(38, 194)(39, 137)(40, 144)(41, 159)(42, 155)(43, 139)(44, 200)(45, 202)(46, 148)(47, 169)(48, 141)(49, 205)(50, 143)(51, 209)(52, 189)(53, 160)(54, 204)(55, 146)(56, 213)(57, 215)(58, 168)(59, 218)(60, 185)(61, 190)(62, 150)(63, 163)(64, 158)(65, 151)(66, 152)(67, 214)(68, 177)(69, 199)(70, 156)(71, 212)(72, 182)(73, 167)(74, 186)(75, 211)(76, 197)(77, 228)(78, 162)(79, 203)(80, 183)(81, 165)(82, 206)(83, 210)(84, 216)(85, 226)(86, 230)(87, 170)(88, 175)(89, 207)(90, 172)(91, 229)(92, 174)(93, 208)(94, 198)(95, 225)(96, 191)(97, 179)(98, 233)(99, 196)(100, 231)(101, 219)(102, 188)(103, 217)(104, 220)(105, 222)(106, 193)(107, 195)(108, 221)(109, 237)(110, 201)(111, 236)(112, 234)(113, 223)(114, 239)(115, 224)(116, 235)(117, 227)(118, 232)(119, 240)(120, 238)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E24.1875
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 54
	degree seq :: [ 12^20 ]

E24.1884 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T2^4, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2)^2, T1^6, (T1^-2 * T2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1 * T2 * T1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 5, 125)(2, 122, 7, 127, 21, 141, 8, 128)(4, 124, 12, 132, 28, 148, 14, 134)(6, 126, 18, 138, 43, 163, 19, 139)(9, 129, 26, 146, 16, 136, 27, 147)(11, 131, 29, 149, 15, 135, 31, 151)(13, 133, 34, 154, 61, 181, 35, 155)(17, 137, 40, 160, 72, 192, 41, 161)(20, 140, 48, 168, 24, 144, 49, 169)(22, 142, 50, 170, 23, 143, 52, 172)(25, 145, 55, 175, 39, 159, 56, 176)(30, 150, 64, 184, 38, 158, 65, 185)(32, 152, 68, 188, 37, 157, 69, 189)(33, 153, 70, 190, 36, 156, 71, 191)(42, 162, 73, 193, 46, 166, 74, 194)(44, 164, 75, 195, 45, 165, 76, 196)(47, 167, 77, 197, 54, 174, 78, 198)(51, 171, 85, 205, 53, 173, 86, 206)(57, 177, 94, 214, 60, 180, 95, 215)(58, 178, 82, 202, 59, 179, 79, 199)(62, 182, 99, 219, 67, 187, 100, 220)(63, 183, 83, 203, 66, 186, 88, 208)(80, 200, 108, 228, 81, 201, 105, 225)(84, 204, 109, 229, 87, 207, 112, 232)(89, 209, 115, 235, 92, 212, 114, 234)(90, 210, 107, 227, 91, 211, 106, 226)(93, 213, 118, 238, 98, 218, 119, 239)(96, 216, 111, 231, 97, 217, 110, 230)(101, 221, 116, 236, 102, 222, 113, 233)(103, 223, 120, 240, 104, 224, 117, 237)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 137)(7, 140)(8, 143)(9, 145)(10, 148)(11, 123)(12, 152)(13, 124)(14, 156)(15, 158)(16, 125)(17, 133)(18, 162)(19, 165)(20, 167)(21, 130)(22, 127)(23, 173)(24, 128)(25, 161)(26, 177)(27, 179)(28, 181)(29, 182)(30, 131)(31, 186)(32, 166)(33, 132)(34, 174)(35, 171)(36, 164)(37, 134)(38, 160)(39, 136)(40, 159)(41, 150)(42, 157)(43, 141)(44, 138)(45, 153)(46, 139)(47, 155)(48, 199)(49, 201)(50, 203)(51, 142)(52, 207)(53, 154)(54, 144)(55, 209)(56, 211)(57, 213)(58, 146)(59, 217)(60, 147)(61, 192)(62, 212)(63, 149)(64, 218)(65, 216)(66, 210)(67, 151)(68, 221)(69, 215)(70, 223)(71, 219)(72, 163)(73, 225)(74, 227)(75, 229)(76, 231)(77, 233)(78, 235)(79, 237)(80, 168)(81, 239)(82, 169)(83, 236)(84, 170)(85, 240)(86, 238)(87, 234)(88, 172)(89, 187)(90, 175)(91, 183)(92, 176)(93, 185)(94, 188)(95, 232)(96, 178)(97, 184)(98, 180)(99, 228)(100, 190)(101, 230)(102, 189)(103, 226)(104, 191)(105, 220)(106, 193)(107, 224)(108, 194)(109, 214)(110, 195)(111, 222)(112, 196)(113, 208)(114, 197)(115, 204)(116, 198)(117, 206)(118, 200)(119, 205)(120, 202)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1876
Transitivity :: ET+ VT+ AT
Graph::
	v = 30 e = 120 f = 44
	degree seq :: [ 8^30 ]

E24.1885 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1^-1 * T2^-1 * T1^-1)^2, (T1^-1 * T2)^3, T1^6, (T2^-1, T1)^2, T2^2 * T1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 5, 125)(2, 122, 7, 127, 21, 141, 8, 128)(4, 124, 12, 132, 33, 153, 14, 134)(6, 126, 18, 138, 43, 163, 19, 139)(9, 129, 26, 146, 60, 180, 27, 147)(11, 131, 23, 143, 54, 174, 31, 151)(13, 133, 35, 155, 58, 178, 25, 145)(15, 135, 38, 158, 74, 194, 34, 154)(16, 136, 39, 159, 79, 199, 40, 160)(17, 137, 41, 161, 81, 201, 42, 162)(20, 140, 47, 167, 92, 212, 48, 168)(22, 142, 45, 165, 88, 208, 52, 172)(24, 144, 55, 175, 103, 223, 56, 176)(28, 148, 64, 184, 104, 224, 65, 185)(29, 149, 62, 182, 107, 227, 67, 187)(30, 150, 68, 188, 108, 228, 63, 183)(32, 152, 70, 190, 111, 231, 69, 189)(36, 156, 76, 196, 102, 222, 75, 195)(37, 157, 66, 186, 110, 230, 77, 197)(44, 164, 83, 203, 59, 179, 86, 206)(46, 166, 89, 209, 115, 235, 90, 210)(49, 169, 96, 216, 116, 236, 97, 217)(50, 170, 94, 214, 61, 181, 99, 219)(51, 171, 100, 220, 117, 237, 95, 215)(53, 173, 98, 218, 118, 238, 101, 221)(57, 177, 91, 211, 78, 198, 82, 202)(71, 191, 85, 205, 80, 200, 93, 213)(72, 192, 106, 226, 112, 232, 84, 204)(73, 193, 109, 229, 119, 239, 105, 225)(87, 207, 113, 233, 120, 240, 114, 234)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 137)(7, 140)(8, 143)(9, 145)(10, 148)(11, 123)(12, 152)(13, 124)(14, 156)(15, 157)(16, 125)(17, 133)(18, 136)(19, 165)(20, 134)(21, 169)(22, 127)(23, 173)(24, 128)(25, 177)(26, 179)(27, 182)(28, 183)(29, 130)(30, 131)(31, 189)(32, 162)(33, 191)(34, 132)(35, 166)(36, 171)(37, 164)(38, 198)(39, 196)(40, 200)(41, 144)(42, 203)(43, 204)(44, 138)(45, 207)(46, 139)(47, 211)(48, 214)(49, 215)(50, 141)(51, 142)(52, 147)(53, 202)(54, 222)(55, 158)(56, 224)(57, 150)(58, 219)(59, 151)(60, 220)(61, 146)(62, 213)(63, 212)(64, 201)(65, 159)(66, 149)(67, 221)(68, 216)(69, 226)(70, 208)(71, 225)(72, 153)(73, 154)(74, 210)(75, 155)(76, 206)(77, 223)(78, 160)(79, 218)(80, 217)(81, 187)(82, 161)(83, 193)(84, 197)(85, 163)(86, 168)(87, 195)(88, 194)(89, 174)(90, 236)(91, 172)(92, 186)(93, 167)(94, 185)(95, 199)(96, 178)(97, 175)(98, 170)(99, 234)(100, 192)(101, 235)(102, 176)(103, 233)(104, 232)(105, 180)(106, 181)(107, 190)(108, 239)(109, 184)(110, 237)(111, 188)(112, 209)(113, 205)(114, 231)(115, 229)(116, 227)(117, 228)(118, 230)(119, 240)(120, 238)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.1877
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 30 e = 120 f = 44
	degree seq :: [ 8^30 ]

E24.1886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^4, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^5, Y1 * Y2^2 * Y3^-1 * Y2^2, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2^-2 * Y1^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-3 * Y1 * Y2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y1^-2 * Y2^-1)^3, Y3 * Y2^-1 * Y3^2 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y3 * Y2 * Y1 * Y2)^3 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 25, 145, 11, 131)(5, 125, 14, 134, 37, 157, 15, 135)(7, 127, 19, 139, 48, 168, 21, 141)(8, 128, 22, 142, 54, 174, 23, 143)(10, 130, 28, 148, 64, 184, 29, 149)(12, 132, 32, 152, 70, 190, 34, 154)(13, 133, 35, 155, 75, 195, 36, 156)(16, 136, 41, 161, 51, 171, 20, 140)(17, 137, 42, 162, 80, 200, 44, 164)(18, 138, 45, 165, 59, 179, 46, 166)(24, 144, 58, 178, 86, 206, 43, 163)(26, 146, 61, 181, 105, 225, 62, 182)(27, 147, 63, 183, 98, 218, 53, 173)(30, 150, 66, 186, 101, 221, 56, 176)(31, 151, 68, 188, 93, 213, 69, 189)(33, 153, 47, 167, 92, 212, 72, 192)(38, 158, 81, 201, 102, 222, 57, 177)(39, 159, 73, 193, 110, 230, 82, 202)(40, 160, 76, 196, 111, 231, 83, 203)(49, 169, 94, 214, 106, 226, 65, 185)(50, 170, 95, 215, 114, 234, 88, 208)(52, 172, 97, 217, 116, 236, 90, 210)(55, 175, 100, 220, 79, 199, 91, 211)(60, 180, 103, 223, 74, 194, 85, 205)(67, 187, 104, 224, 109, 229, 71, 191)(77, 197, 87, 207, 113, 233, 112, 232)(78, 198, 89, 209, 115, 235, 99, 219)(84, 204, 107, 227, 117, 237, 96, 216)(108, 228, 119, 239, 120, 240, 118, 238)(241, 361, 243, 363, 250, 370, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 264, 384, 248, 368)(244, 364, 252, 372, 273, 393, 268, 388, 253, 373)(246, 366, 257, 377, 283, 403, 287, 407, 258, 378)(249, 369, 266, 386, 255, 375, 280, 400, 267, 387)(251, 371, 270, 390, 307, 427, 281, 401, 271, 391)(254, 374, 278, 398, 269, 389, 305, 425, 279, 399)(259, 379, 289, 409, 263, 383, 297, 417, 290, 410)(261, 381, 292, 412, 301, 421, 298, 418, 293, 413)(262, 382, 295, 415, 291, 411, 336, 456, 296, 416)(265, 385, 299, 419, 323, 443, 344, 464, 300, 420)(272, 392, 311, 431, 276, 396, 318, 438, 308, 428)(274, 394, 313, 433, 347, 467, 304, 424, 314, 434)(275, 395, 316, 436, 312, 432, 302, 422, 317, 437)(277, 397, 319, 439, 346, 466, 303, 423, 320, 440)(282, 402, 324, 444, 286, 406, 331, 451, 325, 445)(284, 404, 327, 447, 334, 454, 332, 452, 328, 448)(285, 405, 329, 449, 326, 446, 349, 469, 330, 450)(288, 408, 315, 435, 342, 462, 345, 465, 333, 453)(294, 414, 339, 459, 357, 477, 335, 455, 310, 430)(306, 426, 322, 442, 309, 429, 348, 468, 321, 441)(337, 457, 341, 461, 338, 458, 358, 478, 340, 460)(343, 463, 359, 479, 351, 471, 350, 470, 352, 472)(353, 473, 356, 476, 354, 474, 360, 480, 355, 475)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 261)(8, 263)(9, 243)(10, 269)(11, 265)(12, 274)(13, 276)(14, 245)(15, 277)(16, 260)(17, 284)(18, 286)(19, 247)(20, 291)(21, 288)(22, 248)(23, 294)(24, 283)(25, 249)(26, 302)(27, 293)(28, 250)(29, 304)(30, 296)(31, 309)(32, 252)(33, 312)(34, 310)(35, 253)(36, 315)(37, 254)(38, 297)(39, 322)(40, 323)(41, 256)(42, 257)(43, 326)(44, 320)(45, 258)(46, 299)(47, 273)(48, 259)(49, 305)(50, 328)(51, 281)(52, 330)(53, 338)(54, 262)(55, 331)(56, 341)(57, 342)(58, 264)(59, 285)(60, 325)(61, 266)(62, 345)(63, 267)(64, 268)(65, 346)(66, 270)(67, 311)(68, 271)(69, 333)(70, 272)(71, 349)(72, 332)(73, 279)(74, 343)(75, 275)(76, 280)(77, 352)(78, 339)(79, 340)(80, 282)(81, 278)(82, 350)(83, 351)(84, 336)(85, 314)(86, 298)(87, 317)(88, 354)(89, 318)(90, 356)(91, 319)(92, 287)(93, 308)(94, 289)(95, 290)(96, 357)(97, 292)(98, 303)(99, 355)(100, 295)(101, 306)(102, 321)(103, 300)(104, 307)(105, 301)(106, 334)(107, 324)(108, 358)(109, 344)(110, 313)(111, 316)(112, 353)(113, 327)(114, 335)(115, 329)(116, 337)(117, 347)(118, 360)(119, 348)(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 E24.1893
Graph:: bipartite
	v = 54 e = 240 f = 140
	degree seq :: [ 8^30, 10^24 ]

E24.1887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y1^2 * Y3^-2, (R * Y1)^2, Y3^4, (Y2 * Y1^-1)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y1 * Y2 * Y1 * Y2)^2, Y2^2 * Y1^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-2 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 19, 139, 8, 128)(5, 125, 11, 131, 24, 144, 13, 133)(7, 127, 17, 137, 33, 153, 16, 136)(10, 130, 23, 143, 43, 163, 22, 142)(12, 132, 15, 135, 31, 151, 26, 146)(14, 134, 28, 148, 52, 172, 30, 150)(18, 138, 37, 157, 65, 185, 36, 156)(20, 140, 38, 158, 68, 188, 40, 160)(21, 141, 41, 161, 70, 190, 39, 159)(25, 145, 48, 168, 83, 203, 47, 167)(27, 147, 49, 169, 86, 206, 51, 171)(29, 149, 46, 166, 81, 201, 54, 174)(32, 152, 59, 179, 95, 215, 58, 178)(34, 154, 60, 180, 98, 218, 62, 182)(35, 155, 63, 183, 100, 220, 61, 181)(42, 162, 75, 195, 112, 232, 74, 194)(44, 164, 76, 196, 99, 219, 78, 198)(45, 165, 79, 199, 113, 233, 77, 197)(50, 170, 57, 177, 93, 213, 88, 208)(53, 173, 91, 211, 96, 216, 90, 210)(55, 175, 92, 212, 106, 226, 67, 187)(56, 176, 89, 209, 104, 224, 64, 184)(66, 186, 105, 225, 87, 207, 80, 200)(69, 189, 109, 229, 84, 204, 108, 228)(71, 191, 110, 230, 117, 237, 97, 217)(72, 192, 107, 227, 119, 239, 94, 214)(73, 193, 111, 231, 118, 238, 103, 223)(82, 202, 102, 222, 114, 234, 115, 235)(85, 205, 101, 221, 120, 240, 116, 236)(241, 361, 243, 363, 250, 370, 254, 374, 245, 365)(242, 362, 247, 367, 258, 378, 260, 380, 248, 368)(244, 364, 251, 371, 265, 385, 267, 387, 252, 372)(246, 366, 255, 375, 272, 392, 274, 394, 256, 376)(249, 369, 261, 381, 282, 402, 284, 404, 262, 382)(253, 373, 268, 388, 293, 413, 295, 415, 269, 389)(257, 377, 275, 395, 304, 424, 306, 426, 276, 396)(259, 379, 278, 398, 309, 429, 311, 431, 279, 399)(263, 383, 285, 405, 320, 440, 296, 416, 270, 390)(264, 384, 286, 406, 322, 442, 324, 444, 287, 407)(266, 386, 289, 409, 327, 447, 319, 439, 290, 410)(271, 391, 297, 417, 334, 454, 336, 456, 298, 418)(273, 393, 300, 420, 339, 459, 341, 461, 301, 421)(277, 397, 307, 427, 331, 451, 312, 432, 280, 400)(281, 401, 313, 433, 294, 414, 332, 452, 314, 434)(283, 403, 316, 436, 338, 458, 354, 474, 317, 437)(288, 408, 325, 445, 318, 438, 315, 435, 291, 411)(292, 412, 329, 449, 357, 477, 335, 455, 330, 450)(299, 419, 337, 457, 349, 469, 342, 462, 302, 422)(303, 423, 343, 463, 310, 430, 350, 470, 344, 464)(305, 425, 345, 465, 326, 446, 352, 472, 346, 466)(308, 428, 347, 467, 356, 476, 323, 443, 348, 468)(321, 441, 351, 471, 328, 448, 353, 473, 355, 475)(333, 453, 358, 478, 340, 460, 360, 480, 359, 479)
	L = (1, 244)(2, 241)(3, 248)(4, 246)(5, 253)(6, 242)(7, 256)(8, 259)(9, 243)(10, 262)(11, 245)(12, 266)(13, 264)(14, 270)(15, 252)(16, 273)(17, 247)(18, 276)(19, 249)(20, 280)(21, 279)(22, 283)(23, 250)(24, 251)(25, 287)(26, 271)(27, 291)(28, 254)(29, 294)(30, 292)(31, 255)(32, 298)(33, 257)(34, 302)(35, 301)(36, 305)(37, 258)(38, 260)(39, 310)(40, 308)(41, 261)(42, 314)(43, 263)(44, 318)(45, 317)(46, 269)(47, 323)(48, 265)(49, 267)(50, 328)(51, 326)(52, 268)(53, 330)(54, 321)(55, 307)(56, 304)(57, 290)(58, 335)(59, 272)(60, 274)(61, 340)(62, 338)(63, 275)(64, 344)(65, 277)(66, 320)(67, 346)(68, 278)(69, 348)(70, 281)(71, 337)(72, 334)(73, 343)(74, 352)(75, 282)(76, 284)(77, 353)(78, 339)(79, 285)(80, 327)(81, 286)(82, 355)(83, 288)(84, 349)(85, 356)(86, 289)(87, 345)(88, 333)(89, 296)(90, 336)(91, 293)(92, 295)(93, 297)(94, 359)(95, 299)(96, 331)(97, 357)(98, 300)(99, 316)(100, 303)(101, 325)(102, 322)(103, 358)(104, 329)(105, 306)(106, 332)(107, 312)(108, 324)(109, 309)(110, 311)(111, 313)(112, 315)(113, 319)(114, 342)(115, 354)(116, 360)(117, 350)(118, 351)(119, 347)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1892
Graph:: bipartite
	v = 54 e = 240 f = 140
	degree seq :: [ 8^30, 10^24 ]

E24.1888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 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 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^5, Y1^5, (Y1 * Y2 * Y1)^2, (Y2 * Y1^2)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-2 * Y1^-1 * Y2^2 * Y1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 26, 146, 32, 152, 11, 131)(5, 125, 15, 135, 40, 160, 18, 138, 16, 136)(7, 127, 20, 140, 14, 134, 38, 158, 22, 142)(8, 128, 23, 143, 54, 174, 37, 157, 24, 144)(10, 130, 29, 149, 65, 185, 58, 178, 25, 145)(12, 132, 34, 154, 19, 139, 46, 166, 36, 156)(17, 137, 35, 155, 75, 195, 80, 200, 44, 164)(21, 141, 50, 170, 77, 197, 87, 207, 47, 167)(27, 147, 49, 169, 33, 153, 72, 192, 61, 181)(28, 148, 62, 182, 103, 223, 71, 191, 63, 183)(30, 150, 68, 188, 98, 218, 105, 225, 64, 184)(31, 151, 69, 189, 59, 179, 45, 165, 70, 190)(39, 159, 78, 198, 93, 213, 52, 172, 79, 199)(41, 161, 48, 168, 43, 163, 53, 173, 82, 202)(42, 162, 57, 177, 81, 201, 96, 216, 55, 175)(51, 171, 92, 212, 107, 227, 66, 186, 89, 209)(56, 176, 74, 194, 95, 215, 106, 226, 86, 206)(60, 180, 100, 220, 112, 232, 97, 217, 99, 219)(67, 187, 108, 228, 116, 236, 91, 211, 109, 229)(73, 193, 113, 233, 94, 214, 102, 222, 114, 234)(76, 196, 88, 208, 84, 204, 117, 237, 115, 235)(83, 203, 85, 205, 104, 224, 111, 231, 90, 210)(101, 221, 120, 240, 119, 239, 110, 230, 118, 238)(241, 361, 243, 363, 250, 370, 270, 390, 257, 377, 245, 365)(242, 362, 247, 367, 261, 381, 291, 411, 265, 385, 248, 368)(244, 364, 252, 372, 275, 395, 316, 436, 279, 399, 254, 374)(246, 366, 258, 378, 285, 405, 325, 445, 287, 407, 259, 379)(249, 369, 267, 387, 300, 420, 341, 461, 304, 424, 268, 388)(251, 371, 271, 391, 255, 375, 281, 401, 313, 433, 273, 393)(253, 373, 277, 397, 318, 438, 339, 459, 299, 419, 266, 386)(256, 376, 282, 402, 308, 428, 350, 470, 323, 443, 283, 403)(260, 380, 288, 408, 328, 448, 358, 478, 329, 449, 289, 409)(262, 382, 292, 412, 263, 383, 295, 415, 334, 454, 293, 413)(264, 384, 296, 416, 332, 452, 359, 479, 337, 457, 297, 417)(269, 389, 306, 426, 346, 466, 324, 444, 284, 404, 307, 427)(272, 392, 311, 431, 353, 473, 335, 455, 294, 414, 305, 425)(274, 394, 303, 423, 344, 464, 360, 480, 355, 475, 314, 434)(276, 396, 317, 437, 278, 398, 301, 421, 342, 462, 302, 422)(280, 400, 320, 440, 286, 406, 326, 446, 354, 474, 321, 441)(290, 410, 330, 450, 343, 463, 338, 458, 298, 418, 331, 451)(309, 429, 349, 469, 333, 453, 357, 477, 322, 442, 351, 471)(310, 430, 352, 472, 312, 432, 347, 467, 327, 447, 348, 468)(315, 435, 345, 465, 336, 456, 340, 460, 319, 439, 356, 476)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 267)(10, 270)(11, 271)(12, 275)(13, 277)(14, 244)(15, 281)(16, 282)(17, 245)(18, 285)(19, 246)(20, 288)(21, 291)(22, 292)(23, 295)(24, 296)(25, 248)(26, 253)(27, 300)(28, 249)(29, 306)(30, 257)(31, 255)(32, 311)(33, 251)(34, 303)(35, 316)(36, 317)(37, 318)(38, 301)(39, 254)(40, 320)(41, 313)(42, 308)(43, 256)(44, 307)(45, 325)(46, 326)(47, 259)(48, 328)(49, 260)(50, 330)(51, 265)(52, 263)(53, 262)(54, 305)(55, 334)(56, 332)(57, 264)(58, 331)(59, 266)(60, 341)(61, 342)(62, 276)(63, 344)(64, 268)(65, 272)(66, 346)(67, 269)(68, 350)(69, 349)(70, 352)(71, 353)(72, 347)(73, 273)(74, 274)(75, 345)(76, 279)(77, 278)(78, 339)(79, 356)(80, 286)(81, 280)(82, 351)(83, 283)(84, 284)(85, 287)(86, 354)(87, 348)(88, 358)(89, 289)(90, 343)(91, 290)(92, 359)(93, 357)(94, 293)(95, 294)(96, 340)(97, 297)(98, 298)(99, 299)(100, 319)(101, 304)(102, 302)(103, 338)(104, 360)(105, 336)(106, 324)(107, 327)(108, 310)(109, 333)(110, 323)(111, 309)(112, 312)(113, 335)(114, 321)(115, 314)(116, 315)(117, 322)(118, 329)(119, 337)(120, 355)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 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 E24.1890
Graph:: bipartite
	v = 44 e = 240 f = 150
	degree seq :: [ 10^24, 12^20 ]

E24.1889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 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 * Y3^-1, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^5, Y2^6, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-2, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y1^-1)^4, (Y1 * Y2^2)^3 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 12, 132, 4, 124)(3, 123, 9, 129, 22, 142, 20, 140, 8, 128)(5, 125, 11, 131, 27, 147, 34, 154, 14, 134)(7, 127, 18, 138, 41, 161, 39, 159, 17, 137)(10, 130, 25, 145, 53, 173, 40, 160, 24, 144)(13, 133, 29, 149, 60, 180, 65, 185, 31, 151)(15, 135, 33, 153, 61, 181, 70, 190, 36, 156)(16, 136, 37, 157, 72, 192, 62, 182, 30, 150)(19, 139, 44, 164, 80, 200, 63, 183, 43, 163)(21, 141, 46, 166, 28, 148, 58, 178, 48, 168)(23, 143, 51, 171, 89, 209, 87, 207, 50, 170)(26, 146, 56, 176, 93, 213, 88, 208, 55, 175)(32, 152, 64, 184, 38, 158, 74, 194, 66, 186)(35, 155, 67, 187, 94, 214, 78, 198, 42, 162)(45, 165, 82, 202, 86, 206, 110, 230, 81, 201)(47, 167, 49, 169, 85, 205, 106, 226, 73, 193)(52, 172, 69, 189, 79, 199, 83, 203, 90, 210)(54, 174, 84, 204, 96, 216, 71, 191, 92, 212)(57, 177, 95, 215, 105, 225, 102, 222, 68, 188)(59, 179, 98, 218, 113, 233, 103, 223, 97, 217)(75, 195, 91, 211, 109, 229, 117, 237, 107, 227)(76, 196, 77, 197, 108, 228, 101, 221, 99, 219)(100, 220, 111, 231, 116, 236, 115, 235, 104, 224)(112, 232, 114, 234, 119, 239, 120, 240, 118, 238)(241, 361, 243, 363, 250, 370, 266, 386, 255, 375, 245, 365)(242, 362, 247, 367, 259, 379, 285, 405, 261, 381, 248, 368)(244, 364, 251, 371, 268, 388, 299, 419, 272, 392, 253, 373)(246, 366, 256, 376, 278, 398, 315, 435, 280, 400, 257, 377)(249, 369, 263, 383, 292, 412, 316, 436, 279, 399, 264, 384)(252, 372, 269, 389, 301, 421, 340, 460, 303, 423, 270, 390)(254, 374, 273, 393, 300, 420, 339, 459, 309, 429, 275, 395)(258, 378, 282, 402, 319, 439, 335, 455, 302, 422, 283, 403)(260, 380, 286, 406, 267, 387, 297, 417, 323, 443, 287, 407)(262, 382, 289, 409, 326, 446, 352, 472, 328, 448, 290, 410)(265, 385, 294, 414, 306, 426, 338, 458, 327, 447, 295, 415)(271, 391, 304, 424, 277, 397, 313, 433, 330, 450, 291, 411)(274, 394, 307, 427, 333, 453, 354, 474, 343, 463, 308, 428)(276, 396, 296, 416, 334, 454, 321, 441, 284, 404, 311, 431)(281, 401, 317, 437, 349, 469, 358, 478, 350, 470, 318, 438)(288, 408, 322, 442, 325, 445, 347, 467, 314, 434, 324, 444)(293, 413, 331, 451, 348, 468, 344, 464, 310, 430, 332, 452)(298, 418, 336, 456, 320, 440, 351, 471, 342, 462, 337, 457)(305, 425, 329, 449, 353, 473, 359, 479, 355, 475, 341, 461)(312, 432, 345, 465, 356, 476, 360, 480, 357, 477, 346, 466)
	L = (1, 243)(2, 247)(3, 250)(4, 251)(5, 241)(6, 256)(7, 259)(8, 242)(9, 263)(10, 266)(11, 268)(12, 269)(13, 244)(14, 273)(15, 245)(16, 278)(17, 246)(18, 282)(19, 285)(20, 286)(21, 248)(22, 289)(23, 292)(24, 249)(25, 294)(26, 255)(27, 297)(28, 299)(29, 301)(30, 252)(31, 304)(32, 253)(33, 300)(34, 307)(35, 254)(36, 296)(37, 313)(38, 315)(39, 264)(40, 257)(41, 317)(42, 319)(43, 258)(44, 311)(45, 261)(46, 267)(47, 260)(48, 322)(49, 326)(50, 262)(51, 271)(52, 316)(53, 331)(54, 306)(55, 265)(56, 334)(57, 323)(58, 336)(59, 272)(60, 339)(61, 340)(62, 283)(63, 270)(64, 277)(65, 329)(66, 338)(67, 333)(68, 274)(69, 275)(70, 332)(71, 276)(72, 345)(73, 330)(74, 324)(75, 280)(76, 279)(77, 349)(78, 281)(79, 335)(80, 351)(81, 284)(82, 325)(83, 287)(84, 288)(85, 347)(86, 352)(87, 295)(88, 290)(89, 353)(90, 291)(91, 348)(92, 293)(93, 354)(94, 321)(95, 302)(96, 320)(97, 298)(98, 327)(99, 309)(100, 303)(101, 305)(102, 337)(103, 308)(104, 310)(105, 356)(106, 312)(107, 314)(108, 344)(109, 358)(110, 318)(111, 342)(112, 328)(113, 359)(114, 343)(115, 341)(116, 360)(117, 346)(118, 350)(119, 355)(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) :: { ( 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 E24.1891
Graph:: bipartite
	v = 44 e = 240 f = 150
	degree seq :: [ 10^24, 12^20 ]

E24.1890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3^-1)^2, (R * Y1)^2, Y2^4, Y2^-2 * Y3^-1 * Y2^2 * Y3^-1, Y3^6, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-3 * Y2 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362, 246, 366, 244, 364)(243, 363, 249, 369, 258, 378, 251, 371)(245, 365, 254, 374, 257, 377, 255, 375)(247, 367, 259, 379, 253, 373, 261, 381)(248, 368, 262, 382, 252, 372, 263, 383)(250, 370, 267, 387, 281, 401, 269, 389)(256, 376, 278, 398, 280, 400, 279, 399)(260, 380, 284, 404, 273, 393, 286, 406)(264, 384, 293, 413, 272, 392, 294, 414)(265, 385, 295, 415, 271, 391, 297, 417)(266, 386, 298, 418, 270, 390, 299, 419)(268, 388, 303, 423, 312, 432, 285, 405)(274, 394, 308, 428, 277, 397, 309, 429)(275, 395, 310, 430, 276, 396, 311, 431)(282, 402, 313, 433, 288, 408, 315, 435)(283, 403, 316, 436, 287, 407, 317, 437)(289, 409, 325, 445, 292, 412, 326, 446)(290, 410, 327, 447, 291, 411, 328, 448)(296, 416, 330, 450, 307, 427, 331, 451)(300, 420, 335, 455, 306, 426, 336, 456)(301, 421, 337, 457, 305, 425, 338, 458)(302, 422, 339, 459, 304, 424, 340, 460)(314, 434, 346, 466, 324, 444, 347, 467)(318, 438, 351, 471, 323, 443, 352, 472)(319, 439, 353, 473, 322, 442, 354, 474)(320, 440, 355, 475, 321, 441, 356, 476)(329, 449, 357, 477, 332, 452, 358, 478)(333, 453, 345, 465, 334, 454, 348, 468)(341, 461, 359, 479, 342, 462, 360, 480)(343, 463, 349, 469, 344, 464, 350, 470)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 260)(8, 242)(9, 265)(10, 268)(11, 270)(12, 272)(13, 244)(14, 274)(15, 276)(16, 245)(17, 280)(18, 246)(19, 282)(20, 285)(21, 287)(22, 289)(23, 291)(24, 248)(25, 296)(26, 249)(27, 301)(28, 256)(29, 304)(30, 306)(31, 251)(32, 303)(33, 253)(34, 305)(35, 254)(36, 302)(37, 255)(38, 307)(39, 300)(40, 312)(41, 258)(42, 314)(43, 259)(44, 319)(45, 264)(46, 321)(47, 323)(48, 261)(49, 322)(50, 262)(51, 320)(52, 263)(53, 324)(54, 318)(55, 317)(56, 279)(57, 332)(58, 327)(59, 334)(60, 266)(61, 277)(62, 267)(63, 273)(64, 275)(65, 269)(66, 278)(67, 271)(68, 341)(69, 315)(70, 343)(71, 325)(72, 281)(73, 308)(74, 294)(75, 348)(76, 297)(77, 350)(78, 283)(79, 292)(80, 284)(81, 290)(82, 286)(83, 293)(84, 288)(85, 357)(86, 310)(87, 359)(88, 299)(89, 295)(90, 360)(91, 353)(92, 347)(93, 298)(94, 354)(95, 349)(96, 346)(97, 358)(98, 355)(99, 345)(100, 351)(101, 352)(102, 309)(103, 356)(104, 311)(105, 313)(106, 329)(107, 335)(108, 340)(109, 316)(110, 336)(111, 342)(112, 339)(113, 333)(114, 330)(115, 344)(116, 337)(117, 338)(118, 326)(119, 331)(120, 328)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1888
Graph:: simple bipartite
	v = 150 e = 240 f = 44
	degree seq :: [ 2^120, 8^30 ]

E24.1891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, (Y3 * Y2)^3, Y3^6, Y3^-1 * Y2^-1 * Y3^-1 * Y2^3 * Y3^-1 * Y2^-1, (Y3, Y2)^2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^2, Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2^-2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362, 246, 366, 244, 364)(243, 363, 249, 369, 265, 385, 251, 371)(245, 365, 254, 374, 277, 397, 255, 375)(247, 367, 259, 379, 287, 407, 261, 381)(248, 368, 262, 382, 293, 413, 263, 383)(250, 370, 268, 388, 296, 416, 264, 384)(252, 372, 272, 392, 310, 430, 274, 394)(253, 373, 275, 395, 300, 420, 266, 386)(256, 376, 273, 393, 311, 431, 280, 400)(257, 377, 281, 401, 321, 441, 283, 403)(258, 378, 284, 404, 327, 447, 285, 405)(260, 380, 289, 409, 330, 450, 286, 406)(267, 387, 301, 421, 335, 455, 292, 412)(269, 389, 305, 425, 325, 445, 302, 422)(270, 390, 306, 426, 324, 444, 307, 427)(271, 391, 308, 428, 332, 452, 303, 423)(276, 396, 282, 402, 323, 443, 316, 436)(278, 398, 319, 439, 344, 464, 295, 415)(279, 399, 315, 435, 351, 471, 320, 440)(288, 408, 333, 453, 353, 473, 326, 446)(290, 410, 337, 457, 313, 433, 334, 454)(291, 411, 338, 458, 312, 432, 339, 459)(294, 414, 343, 463, 317, 437, 329, 449)(297, 417, 340, 460, 356, 476, 345, 465)(298, 418, 346, 466, 314, 434, 322, 442)(299, 419, 328, 448, 357, 477, 341, 461)(304, 424, 331, 451, 355, 475, 347, 467)(309, 429, 342, 462, 354, 474, 349, 469)(318, 438, 336, 456, 352, 472, 350, 470)(348, 468, 359, 479, 360, 480, 358, 478)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 260)(8, 242)(9, 266)(10, 269)(11, 270)(12, 273)(13, 244)(14, 278)(15, 279)(16, 245)(17, 282)(18, 246)(19, 255)(20, 290)(21, 291)(22, 294)(23, 295)(24, 248)(25, 297)(26, 299)(27, 249)(28, 303)(29, 256)(30, 254)(31, 251)(32, 285)(33, 312)(34, 313)(35, 315)(36, 253)(37, 317)(38, 309)(39, 305)(40, 304)(41, 263)(42, 324)(43, 325)(44, 328)(45, 329)(46, 258)(47, 331)(48, 259)(49, 335)(50, 264)(51, 262)(52, 261)(53, 341)(54, 340)(55, 337)(56, 336)(57, 342)(58, 265)(59, 339)(60, 344)(61, 321)(62, 267)(63, 348)(64, 268)(65, 334)(66, 322)(67, 338)(68, 272)(69, 271)(70, 349)(71, 346)(72, 276)(73, 275)(74, 274)(75, 350)(76, 345)(77, 333)(78, 277)(79, 280)(80, 332)(81, 352)(82, 281)(83, 353)(84, 286)(85, 284)(86, 283)(87, 320)(88, 355)(89, 307)(90, 354)(91, 356)(92, 287)(93, 310)(94, 288)(95, 358)(96, 289)(97, 306)(98, 308)(99, 302)(100, 292)(101, 298)(102, 293)(103, 296)(104, 301)(105, 311)(106, 359)(107, 300)(108, 319)(109, 318)(110, 314)(111, 316)(112, 347)(113, 360)(114, 323)(115, 326)(116, 327)(117, 330)(118, 343)(119, 351)(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) :: { ( 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1889
Graph:: simple bipartite
	v = 150 e = 240 f = 44
	degree seq :: [ 2^120, 8^30 ]

E24.1892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 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, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^4, (Y1^-1 * Y3 * Y1^-2)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^5, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 17, 137, 13, 133, 4, 124)(3, 123, 9, 129, 25, 145, 41, 161, 30, 150, 11, 131)(5, 125, 15, 135, 38, 158, 40, 160, 39, 159, 16, 136)(7, 127, 20, 140, 47, 167, 35, 155, 51, 171, 22, 142)(8, 128, 23, 143, 53, 173, 34, 154, 54, 174, 24, 144)(10, 130, 28, 148, 61, 181, 72, 192, 43, 163, 21, 141)(12, 132, 32, 152, 46, 166, 19, 139, 45, 165, 33, 153)(14, 134, 36, 156, 44, 164, 18, 138, 42, 162, 37, 157)(26, 146, 57, 177, 93, 213, 65, 185, 96, 216, 58, 178)(27, 147, 59, 179, 97, 217, 64, 184, 98, 218, 60, 180)(29, 149, 62, 182, 92, 212, 56, 176, 91, 211, 63, 183)(31, 151, 66, 186, 90, 210, 55, 175, 89, 209, 67, 187)(48, 168, 79, 199, 117, 237, 86, 206, 118, 238, 80, 200)(49, 169, 81, 201, 119, 239, 85, 205, 120, 240, 82, 202)(50, 170, 83, 203, 116, 236, 78, 198, 115, 235, 84, 204)(52, 172, 87, 207, 114, 234, 77, 197, 113, 233, 88, 208)(68, 188, 101, 221, 110, 230, 75, 195, 109, 229, 94, 214)(69, 189, 95, 215, 112, 232, 76, 196, 111, 231, 102, 222)(70, 190, 103, 223, 106, 226, 73, 193, 105, 225, 100, 220)(71, 191, 99, 219, 108, 228, 74, 194, 107, 227, 104, 224)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 266)(10, 245)(11, 269)(12, 268)(13, 274)(14, 244)(15, 271)(16, 267)(17, 280)(18, 283)(19, 246)(20, 288)(21, 248)(22, 290)(23, 292)(24, 289)(25, 295)(26, 256)(27, 249)(28, 254)(29, 255)(30, 304)(31, 251)(32, 308)(33, 310)(34, 301)(35, 253)(36, 311)(37, 309)(38, 305)(39, 296)(40, 312)(41, 257)(42, 313)(43, 259)(44, 315)(45, 316)(46, 314)(47, 317)(48, 264)(49, 260)(50, 263)(51, 325)(52, 262)(53, 326)(54, 318)(55, 279)(56, 265)(57, 334)(58, 322)(59, 319)(60, 335)(61, 275)(62, 339)(63, 323)(64, 278)(65, 270)(66, 328)(67, 340)(68, 277)(69, 272)(70, 276)(71, 273)(72, 281)(73, 286)(74, 282)(75, 285)(76, 284)(77, 294)(78, 287)(79, 298)(80, 348)(81, 345)(82, 299)(83, 306)(84, 349)(85, 293)(86, 291)(87, 352)(88, 303)(89, 355)(90, 347)(91, 346)(92, 354)(93, 358)(94, 300)(95, 297)(96, 351)(97, 350)(98, 359)(99, 307)(100, 302)(101, 356)(102, 353)(103, 360)(104, 357)(105, 320)(106, 330)(107, 331)(108, 321)(109, 327)(110, 336)(111, 337)(112, 324)(113, 341)(114, 329)(115, 332)(116, 342)(117, 343)(118, 338)(119, 333)(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) :: { ( 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1887
Graph:: simple bipartite
	v = 140 e = 240 f = 54
	degree seq :: [ 2^120, 12^20 ]

E24.1893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 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, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^4, (Y3, Y1^-1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 17, 137, 13, 133, 4, 124)(3, 123, 9, 129, 25, 145, 57, 177, 30, 150, 11, 131)(5, 125, 15, 135, 37, 157, 44, 164, 18, 138, 16, 136)(7, 127, 20, 140, 14, 134, 36, 156, 51, 171, 22, 142)(8, 128, 23, 143, 53, 173, 82, 202, 41, 161, 24, 144)(10, 130, 28, 148, 63, 183, 92, 212, 66, 186, 29, 149)(12, 132, 32, 152, 42, 162, 83, 203, 73, 193, 34, 154)(19, 139, 45, 165, 87, 207, 75, 195, 35, 155, 46, 166)(21, 141, 49, 169, 95, 215, 79, 199, 98, 218, 50, 170)(26, 146, 59, 179, 31, 151, 69, 189, 106, 226, 61, 181)(27, 147, 62, 182, 93, 213, 47, 167, 91, 211, 52, 172)(33, 153, 71, 191, 105, 225, 60, 180, 100, 220, 72, 192)(38, 158, 78, 198, 40, 160, 80, 200, 97, 217, 55, 175)(39, 159, 76, 196, 86, 206, 48, 168, 94, 214, 65, 185)(43, 163, 84, 204, 77, 197, 103, 223, 113, 233, 85, 205)(54, 174, 102, 222, 56, 176, 104, 224, 112, 232, 89, 209)(58, 178, 99, 219, 114, 234, 111, 231, 68, 188, 96, 216)(64, 184, 81, 201, 67, 187, 101, 221, 115, 235, 109, 229)(70, 190, 88, 208, 74, 194, 90, 210, 116, 236, 107, 227)(108, 228, 119, 239, 120, 240, 118, 238, 110, 230, 117, 237)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 266)(10, 245)(11, 263)(12, 273)(13, 275)(14, 244)(15, 278)(16, 279)(17, 281)(18, 283)(19, 246)(20, 287)(21, 248)(22, 285)(23, 294)(24, 295)(25, 253)(26, 300)(27, 249)(28, 304)(29, 302)(30, 308)(31, 251)(32, 310)(33, 254)(34, 255)(35, 298)(36, 316)(37, 306)(38, 314)(39, 319)(40, 256)(41, 321)(42, 257)(43, 259)(44, 323)(45, 328)(46, 329)(47, 332)(48, 260)(49, 336)(50, 334)(51, 340)(52, 262)(53, 338)(54, 271)(55, 343)(56, 264)(57, 331)(58, 265)(59, 326)(60, 267)(61, 339)(62, 347)(63, 270)(64, 344)(65, 268)(66, 350)(67, 269)(68, 348)(69, 272)(70, 351)(71, 325)(72, 346)(73, 349)(74, 274)(75, 276)(76, 342)(77, 277)(78, 322)(79, 280)(80, 333)(81, 282)(82, 297)(83, 299)(84, 312)(85, 320)(86, 284)(87, 353)(88, 292)(89, 355)(90, 286)(91, 318)(92, 288)(93, 311)(94, 301)(95, 291)(96, 356)(97, 289)(98, 358)(99, 290)(100, 357)(101, 293)(102, 315)(103, 296)(104, 305)(105, 313)(106, 352)(107, 307)(108, 303)(109, 359)(110, 317)(111, 309)(112, 324)(113, 360)(114, 327)(115, 330)(116, 337)(117, 335)(118, 341)(119, 345)(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) :: { ( 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1886
Graph:: simple bipartite
	v = 140 e = 240 f = 54
	degree seq :: [ 2^120, 12^20 ]

E24.1894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 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^-1 * Y1^-1, Y1^-2 * Y3 * Y1^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^2 * Y1 * Y2^-3 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^5, Y2^2 * Y1 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 18, 138, 11, 131)(5, 125, 14, 134, 17, 137, 15, 135)(7, 127, 19, 139, 13, 133, 21, 141)(8, 128, 22, 142, 12, 132, 23, 143)(10, 130, 27, 147, 41, 161, 29, 149)(16, 136, 38, 158, 40, 160, 39, 159)(20, 140, 44, 164, 33, 153, 46, 166)(24, 144, 53, 173, 32, 152, 54, 174)(25, 145, 55, 175, 31, 151, 57, 177)(26, 146, 58, 178, 30, 150, 59, 179)(28, 148, 63, 183, 72, 192, 45, 165)(34, 154, 68, 188, 37, 157, 69, 189)(35, 155, 70, 190, 36, 156, 71, 191)(42, 162, 73, 193, 48, 168, 75, 195)(43, 163, 76, 196, 47, 167, 77, 197)(49, 169, 85, 205, 52, 172, 86, 206)(50, 170, 87, 207, 51, 171, 88, 208)(56, 176, 90, 210, 67, 187, 91, 211)(60, 180, 95, 215, 66, 186, 96, 216)(61, 181, 97, 217, 65, 185, 98, 218)(62, 182, 99, 219, 64, 184, 100, 220)(74, 194, 106, 226, 84, 204, 107, 227)(78, 198, 111, 231, 83, 203, 112, 232)(79, 199, 113, 233, 82, 202, 114, 234)(80, 200, 115, 235, 81, 201, 116, 236)(89, 209, 117, 237, 92, 212, 118, 238)(93, 213, 105, 225, 94, 214, 108, 228)(101, 221, 119, 239, 102, 222, 120, 240)(103, 223, 109, 229, 104, 224, 110, 230)(241, 361, 243, 363, 250, 370, 268, 388, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 285, 405, 264, 384, 248, 368)(244, 364, 252, 372, 272, 392, 303, 423, 273, 393, 253, 373)(246, 366, 257, 377, 280, 400, 312, 432, 281, 401, 258, 378)(249, 369, 265, 385, 296, 416, 279, 399, 300, 420, 266, 386)(251, 371, 270, 390, 306, 426, 278, 398, 307, 427, 271, 391)(254, 374, 274, 394, 305, 425, 269, 389, 304, 424, 275, 395)(255, 375, 276, 396, 302, 422, 267, 387, 301, 421, 277, 397)(259, 379, 282, 402, 314, 434, 294, 414, 318, 438, 283, 403)(261, 381, 287, 407, 323, 443, 293, 413, 324, 444, 288, 408)(262, 382, 289, 409, 322, 442, 286, 406, 321, 441, 290, 410)(263, 383, 291, 411, 320, 440, 284, 404, 319, 439, 292, 412)(295, 415, 317, 437, 350, 470, 336, 456, 346, 466, 329, 449)(297, 417, 332, 452, 347, 467, 335, 455, 349, 469, 316, 436)(298, 418, 327, 447, 359, 479, 331, 451, 353, 473, 333, 453)(299, 419, 334, 454, 354, 474, 330, 450, 360, 480, 328, 448)(308, 428, 341, 461, 352, 472, 339, 459, 345, 465, 313, 433)(309, 429, 315, 435, 348, 468, 340, 460, 351, 471, 342, 462)(310, 430, 343, 463, 356, 476, 337, 457, 358, 478, 326, 446)(311, 431, 325, 445, 357, 477, 338, 458, 355, 475, 344, 464)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 261)(8, 263)(9, 243)(10, 269)(11, 258)(12, 262)(13, 259)(14, 245)(15, 257)(16, 279)(17, 254)(18, 249)(19, 247)(20, 286)(21, 253)(22, 248)(23, 252)(24, 294)(25, 297)(26, 299)(27, 250)(28, 285)(29, 281)(30, 298)(31, 295)(32, 293)(33, 284)(34, 309)(35, 311)(36, 310)(37, 308)(38, 256)(39, 280)(40, 278)(41, 267)(42, 315)(43, 317)(44, 260)(45, 312)(46, 273)(47, 316)(48, 313)(49, 326)(50, 328)(51, 327)(52, 325)(53, 264)(54, 272)(55, 265)(56, 331)(57, 271)(58, 266)(59, 270)(60, 336)(61, 338)(62, 340)(63, 268)(64, 339)(65, 337)(66, 335)(67, 330)(68, 274)(69, 277)(70, 275)(71, 276)(72, 303)(73, 282)(74, 347)(75, 288)(76, 283)(77, 287)(78, 352)(79, 354)(80, 356)(81, 355)(82, 353)(83, 351)(84, 346)(85, 289)(86, 292)(87, 290)(88, 291)(89, 358)(90, 296)(91, 307)(92, 357)(93, 348)(94, 345)(95, 300)(96, 306)(97, 301)(98, 305)(99, 302)(100, 304)(101, 360)(102, 359)(103, 350)(104, 349)(105, 333)(106, 314)(107, 324)(108, 334)(109, 343)(110, 344)(111, 318)(112, 323)(113, 319)(114, 322)(115, 320)(116, 321)(117, 329)(118, 332)(119, 341)(120, 342)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1896
Graph:: bipartite
	v = 50 e = 240 f = 144
	degree seq :: [ 8^30, 12^20 ]

E24.1895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^3 * Y1^-1, Y1^-3 * Y3, R * Y3 * R * Y1^-1, R * Y2 * R * Y3 * Y2 * Y3^-1, Y2^-2 * Y3 * Y2^-2 * Y1^-1, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2 * R * Y2 * R * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y3 * Y2 * Y1 * Y2 * Y3^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-3 * Y1^-2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-2 * R * Y2^-1 * R * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 25, 145, 11, 131)(5, 125, 14, 134, 37, 157, 15, 135)(7, 127, 19, 139, 47, 167, 21, 141)(8, 128, 22, 142, 53, 173, 23, 143)(10, 130, 28, 148, 63, 183, 30, 150)(12, 132, 32, 152, 70, 190, 34, 154)(13, 133, 35, 155, 74, 194, 36, 156)(16, 136, 40, 160, 51, 171, 20, 140)(17, 137, 41, 161, 81, 201, 43, 163)(18, 138, 44, 164, 87, 207, 45, 165)(24, 144, 56, 176, 85, 205, 42, 162)(26, 146, 59, 179, 84, 204, 60, 180)(27, 147, 61, 181, 100, 220, 52, 172)(29, 149, 65, 185, 82, 202, 66, 186)(31, 151, 68, 188, 111, 231, 69, 189)(33, 153, 46, 166, 90, 210, 72, 192)(38, 158, 79, 199, 104, 224, 55, 175)(39, 159, 75, 195, 101, 221, 80, 200)(48, 168, 93, 213, 64, 184, 94, 214)(49, 169, 95, 215, 58, 178, 86, 206)(50, 170, 97, 217, 71, 191, 98, 218)(54, 174, 103, 223, 117, 237, 89, 209)(57, 177, 99, 219, 116, 236, 106, 226)(62, 182, 91, 211, 115, 235, 105, 225)(67, 187, 102, 222, 114, 234, 110, 230)(73, 193, 83, 203, 113, 233, 92, 212)(76, 196, 88, 208, 77, 197, 109, 229)(78, 198, 96, 216, 112, 232, 108, 228)(107, 227, 119, 239, 120, 240, 118, 238)(241, 361, 243, 363, 250, 370, 269, 389, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 290, 410, 264, 384, 248, 368)(244, 364, 252, 372, 273, 393, 304, 424, 268, 388, 253, 373)(246, 366, 257, 377, 282, 402, 324, 444, 286, 406, 258, 378)(249, 369, 266, 386, 255, 375, 279, 399, 302, 422, 267, 387)(251, 371, 262, 382, 294, 414, 338, 458, 305, 425, 271, 391)(254, 374, 278, 398, 306, 426, 334, 454, 313, 433, 274, 394)(259, 379, 288, 408, 263, 383, 295, 415, 336, 456, 289, 409)(261, 381, 284, 404, 328, 448, 299, 419, 337, 457, 292, 412)(265, 385, 297, 417, 345, 465, 314, 434, 343, 463, 298, 418)(270, 390, 301, 421, 347, 467, 320, 440, 280, 400, 307, 427)(272, 392, 311, 431, 276, 396, 316, 436, 346, 466, 308, 428)(275, 395, 315, 435, 333, 453, 300, 420, 326, 446, 283, 403)(277, 397, 317, 437, 332, 452, 287, 407, 331, 451, 318, 438)(281, 401, 322, 442, 285, 405, 329, 449, 354, 474, 323, 443)(291, 411, 335, 455, 358, 478, 344, 464, 296, 416, 339, 459)(293, 413, 341, 461, 309, 429, 321, 441, 352, 472, 342, 462)(303, 423, 348, 468, 312, 432, 351, 471, 359, 479, 349, 469)(310, 430, 350, 470, 356, 476, 327, 447, 319, 439, 340, 460)(325, 445, 353, 473, 360, 480, 357, 477, 330, 450, 355, 475)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 261)(8, 263)(9, 243)(10, 270)(11, 265)(12, 274)(13, 276)(14, 245)(15, 277)(16, 260)(17, 283)(18, 285)(19, 247)(20, 291)(21, 287)(22, 248)(23, 293)(24, 282)(25, 249)(26, 300)(27, 292)(28, 250)(29, 306)(30, 303)(31, 309)(32, 252)(33, 312)(34, 310)(35, 253)(36, 314)(37, 254)(38, 295)(39, 320)(40, 256)(41, 257)(42, 325)(43, 321)(44, 258)(45, 327)(46, 273)(47, 259)(48, 334)(49, 326)(50, 338)(51, 280)(52, 340)(53, 262)(54, 329)(55, 344)(56, 264)(57, 346)(58, 335)(59, 266)(60, 324)(61, 267)(62, 345)(63, 268)(64, 333)(65, 269)(66, 322)(67, 350)(68, 271)(69, 351)(70, 272)(71, 337)(72, 330)(73, 332)(74, 275)(75, 279)(76, 349)(77, 328)(78, 348)(79, 278)(80, 341)(81, 281)(82, 305)(83, 313)(84, 299)(85, 296)(86, 298)(87, 284)(88, 316)(89, 357)(90, 286)(91, 302)(92, 353)(93, 288)(94, 304)(95, 289)(96, 318)(97, 290)(98, 311)(99, 297)(100, 301)(101, 315)(102, 307)(103, 294)(104, 319)(105, 355)(106, 356)(107, 358)(108, 352)(109, 317)(110, 354)(111, 308)(112, 336)(113, 323)(114, 342)(115, 331)(116, 339)(117, 343)(118, 360)(119, 347)(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, 10, 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1897
Graph:: bipartite
	v = 50 e = 240 f = 144
	degree seq :: [ 8^30, 12^20 ]

E24.1896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 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, (R * Y3)^2, (R * Y1)^2, Y1^5, Y1^5, (Y1 * Y3 * Y1)^2, (Y3 * Y1^2)^2, (Y3^2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-2 * Y1^-1 * Y3^2 * Y1, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 26, 146, 32, 152, 11, 131)(5, 125, 15, 135, 40, 160, 18, 138, 16, 136)(7, 127, 20, 140, 14, 134, 38, 158, 22, 142)(8, 128, 23, 143, 54, 174, 37, 157, 24, 144)(10, 130, 29, 149, 65, 185, 58, 178, 25, 145)(12, 132, 34, 154, 19, 139, 46, 166, 36, 156)(17, 137, 35, 155, 75, 195, 80, 200, 44, 164)(21, 141, 50, 170, 77, 197, 87, 207, 47, 167)(27, 147, 49, 169, 33, 153, 72, 192, 61, 181)(28, 148, 62, 182, 103, 223, 71, 191, 63, 183)(30, 150, 68, 188, 98, 218, 105, 225, 64, 184)(31, 151, 69, 189, 59, 179, 45, 165, 70, 190)(39, 159, 78, 198, 93, 213, 52, 172, 79, 199)(41, 161, 48, 168, 43, 163, 53, 173, 82, 202)(42, 162, 57, 177, 81, 201, 96, 216, 55, 175)(51, 171, 92, 212, 107, 227, 66, 186, 89, 209)(56, 176, 74, 194, 95, 215, 106, 226, 86, 206)(60, 180, 100, 220, 112, 232, 97, 217, 99, 219)(67, 187, 108, 228, 116, 236, 91, 211, 109, 229)(73, 193, 113, 233, 94, 214, 102, 222, 114, 234)(76, 196, 88, 208, 84, 204, 117, 237, 115, 235)(83, 203, 85, 205, 104, 224, 111, 231, 90, 210)(101, 221, 120, 240, 119, 239, 110, 230, 118, 238)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 267)(10, 270)(11, 271)(12, 275)(13, 277)(14, 244)(15, 281)(16, 282)(17, 245)(18, 285)(19, 246)(20, 288)(21, 291)(22, 292)(23, 295)(24, 296)(25, 248)(26, 253)(27, 300)(28, 249)(29, 306)(30, 257)(31, 255)(32, 311)(33, 251)(34, 303)(35, 316)(36, 317)(37, 318)(38, 301)(39, 254)(40, 320)(41, 313)(42, 308)(43, 256)(44, 307)(45, 325)(46, 326)(47, 259)(48, 328)(49, 260)(50, 330)(51, 265)(52, 263)(53, 262)(54, 305)(55, 334)(56, 332)(57, 264)(58, 331)(59, 266)(60, 341)(61, 342)(62, 276)(63, 344)(64, 268)(65, 272)(66, 346)(67, 269)(68, 350)(69, 349)(70, 352)(71, 353)(72, 347)(73, 273)(74, 274)(75, 345)(76, 279)(77, 278)(78, 339)(79, 356)(80, 286)(81, 280)(82, 351)(83, 283)(84, 284)(85, 287)(86, 354)(87, 348)(88, 358)(89, 289)(90, 343)(91, 290)(92, 359)(93, 357)(94, 293)(95, 294)(96, 340)(97, 297)(98, 298)(99, 299)(100, 319)(101, 304)(102, 302)(103, 338)(104, 360)(105, 336)(106, 324)(107, 327)(108, 310)(109, 333)(110, 323)(111, 309)(112, 312)(113, 335)(114, 321)(115, 314)(116, 315)(117, 322)(118, 329)(119, 337)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1894
Graph:: simple bipartite
	v = 144 e = 240 f = 50
	degree seq :: [ 2^120, 10^24 ]

E24.1897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 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 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2, (Y3^-1 * Y1^-1)^4, (Y1 * Y3^2)^3, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 12, 132, 4, 124)(3, 123, 9, 129, 22, 142, 20, 140, 8, 128)(5, 125, 11, 131, 27, 147, 34, 154, 14, 134)(7, 127, 18, 138, 41, 161, 39, 159, 17, 137)(10, 130, 25, 145, 53, 173, 40, 160, 24, 144)(13, 133, 29, 149, 60, 180, 65, 185, 31, 151)(15, 135, 33, 153, 61, 181, 70, 190, 36, 156)(16, 136, 37, 157, 72, 192, 62, 182, 30, 150)(19, 139, 44, 164, 80, 200, 63, 183, 43, 163)(21, 141, 46, 166, 28, 148, 58, 178, 48, 168)(23, 143, 51, 171, 89, 209, 87, 207, 50, 170)(26, 146, 56, 176, 93, 213, 88, 208, 55, 175)(32, 152, 64, 184, 38, 158, 74, 194, 66, 186)(35, 155, 67, 187, 94, 214, 78, 198, 42, 162)(45, 165, 82, 202, 86, 206, 110, 230, 81, 201)(47, 167, 49, 169, 85, 205, 106, 226, 73, 193)(52, 172, 69, 189, 79, 199, 83, 203, 90, 210)(54, 174, 84, 204, 96, 216, 71, 191, 92, 212)(57, 177, 95, 215, 105, 225, 102, 222, 68, 188)(59, 179, 98, 218, 113, 233, 103, 223, 97, 217)(75, 195, 91, 211, 109, 229, 117, 237, 107, 227)(76, 196, 77, 197, 108, 228, 101, 221, 99, 219)(100, 220, 111, 231, 116, 236, 115, 235, 104, 224)(112, 232, 114, 234, 119, 239, 120, 240, 118, 238)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 251)(5, 241)(6, 256)(7, 259)(8, 242)(9, 263)(10, 266)(11, 268)(12, 269)(13, 244)(14, 273)(15, 245)(16, 278)(17, 246)(18, 282)(19, 285)(20, 286)(21, 248)(22, 289)(23, 292)(24, 249)(25, 294)(26, 255)(27, 297)(28, 299)(29, 301)(30, 252)(31, 304)(32, 253)(33, 300)(34, 307)(35, 254)(36, 296)(37, 313)(38, 315)(39, 264)(40, 257)(41, 317)(42, 319)(43, 258)(44, 311)(45, 261)(46, 267)(47, 260)(48, 322)(49, 326)(50, 262)(51, 271)(52, 316)(53, 331)(54, 306)(55, 265)(56, 334)(57, 323)(58, 336)(59, 272)(60, 339)(61, 340)(62, 283)(63, 270)(64, 277)(65, 329)(66, 338)(67, 333)(68, 274)(69, 275)(70, 332)(71, 276)(72, 345)(73, 330)(74, 324)(75, 280)(76, 279)(77, 349)(78, 281)(79, 335)(80, 351)(81, 284)(82, 325)(83, 287)(84, 288)(85, 347)(86, 352)(87, 295)(88, 290)(89, 353)(90, 291)(91, 348)(92, 293)(93, 354)(94, 321)(95, 302)(96, 320)(97, 298)(98, 327)(99, 309)(100, 303)(101, 305)(102, 337)(103, 308)(104, 310)(105, 356)(106, 312)(107, 314)(108, 344)(109, 358)(110, 318)(111, 342)(112, 328)(113, 359)(114, 343)(115, 341)(116, 360)(117, 346)(118, 350)(119, 355)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1895
Graph:: simple bipartite
	v = 144 e = 240 f = 50
	degree seq :: [ 2^120, 10^24 ]

E24.1898 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 15, 20})
Quotient :: regular
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T2 * T1^2 * T2 * T1^-2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^20 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 82, 66, 94, 115, 120, 119, 105, 70, 97, 81, 46, 22, 10, 4)(3, 7, 15, 31, 48, 84, 58, 28, 57, 93, 118, 108, 78, 41, 77, 107, 74, 38, 18, 8)(6, 13, 27, 55, 83, 110, 88, 52, 87, 114, 102, 71, 36, 17, 35, 68, 45, 62, 30, 14)(9, 19, 39, 50, 24, 49, 34, 16, 33, 65, 103, 111, 109, 80, 101, 116, 89, 53, 42, 20)(12, 25, 51, 40, 76, 106, 113, 85, 112, 104, 117, 98, 60, 29, 59, 44, 21, 43, 54, 26)(32, 63, 86, 69, 95, 79, 100, 61, 99, 75, 92, 56, 91, 67, 96, 73, 37, 72, 90, 64)
	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, 62)(33, 66)(34, 67)(35, 69)(36, 70)(38, 50)(39, 75)(42, 79)(43, 55)(44, 80)(46, 74)(47, 83)(49, 85)(51, 86)(54, 90)(57, 94)(58, 95)(59, 96)(60, 97)(63, 101)(64, 102)(65, 98)(68, 104)(71, 106)(72, 103)(73, 88)(76, 82)(77, 91)(78, 105)(81, 89)(84, 111)(87, 115)(92, 117)(93, 116)(99, 118)(100, 113)(107, 114)(108, 110)(109, 119)(112, 120)
	local type(s) :: { ( 15^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1899
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 6 e = 60 f = 8
	degree seq :: [ 20^6 ]

E24.1899 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 15, 20})
Quotient :: regular
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^3 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2, T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1, (T2 * T1 * T2 * T1^-1)^3, T1^-6 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 75, 111, 120, 110, 74, 42, 22, 10, 4)(3, 7, 15, 24, 45, 78, 112, 105, 84, 117, 102, 65, 37, 18, 8)(6, 13, 27, 44, 77, 103, 98, 62, 97, 109, 73, 41, 21, 30, 14)(9, 19, 26, 12, 25, 46, 76, 93, 58, 92, 88, 107, 71, 40, 20)(16, 32, 57, 79, 114, 106, 69, 39, 68, 82, 48, 64, 36, 60, 33)(17, 34, 56, 31, 55, 54, 86, 51, 28, 50, 83, 113, 100, 63, 35)(29, 52, 70, 49, 67, 38, 66, 81, 47, 80, 115, 108, 72, 89, 53)(59, 87, 99, 91, 96, 61, 95, 116, 90, 104, 118, 85, 101, 119, 94)
	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, 47)(26, 48)(27, 49)(30, 54)(32, 58)(33, 59)(34, 61)(35, 62)(40, 70)(41, 72)(42, 71)(43, 76)(45, 79)(46, 60)(50, 84)(51, 85)(52, 87)(53, 88)(55, 90)(56, 73)(57, 91)(63, 99)(64, 101)(65, 100)(66, 103)(67, 96)(68, 104)(69, 105)(74, 109)(75, 112)(77, 113)(78, 86)(80, 97)(81, 116)(82, 102)(83, 94)(89, 119)(92, 120)(93, 108)(95, 106)(98, 111)(107, 114)(110, 117)(115, 118)
	local type(s) :: { ( 20^15 ) }
Outer automorphisms :: reflexible
Dual of E24.1898
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 60 f = 6
	degree seq :: [ 15^8 ]

E24.1900 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 15, 20})
Quotient :: edge
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2, (T1 * T2 * T1 * T2^-1)^3, T2 * T1 * T2^4 * T1 * T2 * T1 * T2 * T1 * T2^3, T2^15 ]
Map::
	R = (1, 3, 8, 18, 37, 65, 102, 116, 111, 110, 74, 42, 22, 10, 4)(2, 5, 12, 26, 49, 82, 115, 105, 91, 118, 90, 54, 30, 14, 6)(7, 15, 32, 58, 95, 103, 86, 51, 85, 109, 73, 41, 21, 34, 16)(9, 19, 36, 17, 35, 63, 100, 76, 43, 75, 96, 107, 71, 40, 20)(11, 23, 44, 78, 112, 106, 69, 39, 68, 101, 64, 53, 29, 46, 24)(13, 27, 48, 25, 47, 61, 94, 56, 31, 55, 92, 117, 88, 52, 28)(33, 59, 70, 57, 67, 38, 66, 99, 62, 98, 120, 108, 72, 97, 60)(45, 79, 87, 77, 84, 50, 83, 114, 81, 104, 119, 93, 89, 113, 80)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 141)(132, 145)(134, 149)(135, 151)(136, 153)(138, 146)(139, 158)(140, 159)(142, 150)(143, 163)(144, 165)(147, 170)(148, 171)(152, 177)(154, 181)(155, 182)(156, 184)(157, 178)(160, 190)(161, 192)(162, 191)(164, 197)(166, 183)(167, 201)(168, 193)(169, 198)(172, 207)(173, 209)(174, 208)(175, 211)(176, 213)(179, 199)(180, 216)(185, 220)(186, 223)(187, 204)(188, 224)(189, 225)(194, 229)(195, 231)(196, 228)(200, 212)(202, 214)(203, 226)(205, 218)(206, 236)(210, 221)(215, 237)(217, 233)(219, 234)(222, 235)(227, 232)(230, 238)(239, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 40 ), ( 40^15 ) }
Outer automorphisms :: reflexible
Dual of E24.1904
Transitivity :: ET+
Graph:: simple bipartite
	v = 68 e = 120 f = 6
	degree seq :: [ 2^60, 15^8 ]

E24.1901 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 15, 20})
Quotient :: edge
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^3 * T2^-1, T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^3, T2 * T1^-2 * T2^-2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1, T2 * T1^-2 * T2^5 * T1^-2, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 64, 97, 105, 51, 34, 72, 95, 42, 16, 41, 93, 111, 90, 39, 15, 5)(2, 7, 19, 48, 102, 65, 73, 30, 13, 33, 79, 92, 40, 35, 81, 78, 112, 56, 22, 8)(4, 12, 31, 75, 91, 52, 68, 29, 71, 100, 46, 18, 6, 17, 43, 89, 116, 60, 24, 9)(11, 28, 69, 83, 45, 98, 117, 67, 118, 96, 113, 58, 23, 57, 88, 38, 87, 76, 62, 25)(14, 36, 82, 55, 63, 27, 66, 47, 20, 50, 106, 108, 94, 86, 120, 104, 80, 61, 85, 37)(21, 53, 107, 99, 101, 49, 103, 70, 44, 84, 115, 59, 114, 110, 119, 74, 32, 77, 109, 54)(121, 122, 126, 136, 160, 211, 184, 222, 236, 210, 232, 191, 154, 133, 124)(123, 129, 143, 161, 138, 165, 217, 195, 207, 159, 209, 238, 192, 149, 131)(125, 134, 155, 162, 214, 185, 146, 183, 176, 231, 200, 153, 171, 140, 127)(128, 141, 172, 212, 234, 180, 168, 221, 220, 198, 152, 132, 150, 164, 137)(130, 145, 181, 213, 178, 170, 225, 203, 156, 135, 158, 206, 215, 187, 147)(139, 167, 197, 201, 157, 204, 193, 228, 173, 142, 175, 230, 199, 224, 169)(144, 179, 218, 166, 219, 196, 151, 194, 216, 163, 190, 148, 188, 174, 177)(182, 227, 226, 233, 239, 202, 189, 223, 240, 208, 229, 186, 237, 235, 205)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^15 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1905
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 120 f = 60
	degree seq :: [ 15^8, 20^6 ]

E24.1902 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 15, 20})
Quotient :: edge
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T2 * T1^2 * T2 * T1^-2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^20 ]
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, 62)(33, 66)(34, 67)(35, 69)(36, 70)(38, 50)(39, 75)(42, 79)(43, 55)(44, 80)(46, 74)(47, 83)(49, 85)(51, 86)(54, 90)(57, 94)(58, 95)(59, 96)(60, 97)(63, 101)(64, 102)(65, 98)(68, 104)(71, 106)(72, 103)(73, 88)(76, 82)(77, 91)(78, 105)(81, 89)(84, 111)(87, 115)(92, 117)(93, 116)(99, 118)(100, 113)(107, 114)(108, 110)(109, 119)(112, 120)(121, 122, 125, 131, 143, 167, 202, 186, 214, 235, 240, 239, 225, 190, 217, 201, 166, 142, 130, 124)(123, 127, 135, 151, 168, 204, 178, 148, 177, 213, 238, 228, 198, 161, 197, 227, 194, 158, 138, 128)(126, 133, 147, 175, 203, 230, 208, 172, 207, 234, 222, 191, 156, 137, 155, 188, 165, 182, 150, 134)(129, 139, 159, 170, 144, 169, 154, 136, 153, 185, 223, 231, 229, 200, 221, 236, 209, 173, 162, 140)(132, 145, 171, 160, 196, 226, 233, 205, 232, 224, 237, 218, 180, 149, 179, 164, 141, 163, 174, 146)(152, 183, 206, 189, 215, 199, 220, 181, 219, 195, 212, 176, 211, 187, 216, 193, 157, 192, 210, 184)
	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) :: { ( 30, 30 ), ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E24.1903
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 120 f = 8
	degree seq :: [ 2^60, 20^6 ]

E24.1903 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 15, 20})
Quotient :: loop
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2, (T1 * T2 * T1 * T2^-1)^3, T2 * T1 * T2^4 * T1 * T2 * T1 * T2 * T1 * T2^3, T2^15 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 18, 138, 37, 157, 65, 185, 102, 222, 116, 236, 111, 231, 110, 230, 74, 194, 42, 162, 22, 142, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 26, 146, 49, 169, 82, 202, 115, 235, 105, 225, 91, 211, 118, 238, 90, 210, 54, 174, 30, 150, 14, 134, 6, 126)(7, 127, 15, 135, 32, 152, 58, 178, 95, 215, 103, 223, 86, 206, 51, 171, 85, 205, 109, 229, 73, 193, 41, 161, 21, 141, 34, 154, 16, 136)(9, 129, 19, 139, 36, 156, 17, 137, 35, 155, 63, 183, 100, 220, 76, 196, 43, 163, 75, 195, 96, 216, 107, 227, 71, 191, 40, 160, 20, 140)(11, 131, 23, 143, 44, 164, 78, 198, 112, 232, 106, 226, 69, 189, 39, 159, 68, 188, 101, 221, 64, 184, 53, 173, 29, 149, 46, 166, 24, 144)(13, 133, 27, 147, 48, 168, 25, 145, 47, 167, 61, 181, 94, 214, 56, 176, 31, 151, 55, 175, 92, 212, 117, 237, 88, 208, 52, 172, 28, 148)(33, 153, 59, 179, 70, 190, 57, 177, 67, 187, 38, 158, 66, 186, 99, 219, 62, 182, 98, 218, 120, 240, 108, 228, 72, 192, 97, 217, 60, 180)(45, 165, 79, 199, 87, 207, 77, 197, 84, 204, 50, 170, 83, 203, 114, 234, 81, 201, 104, 224, 119, 239, 93, 213, 89, 209, 113, 233, 80, 200)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 141)(11, 125)(12, 145)(13, 126)(14, 149)(15, 151)(16, 153)(17, 128)(18, 146)(19, 158)(20, 159)(21, 130)(22, 150)(23, 163)(24, 165)(25, 132)(26, 138)(27, 170)(28, 171)(29, 134)(30, 142)(31, 135)(32, 177)(33, 136)(34, 181)(35, 182)(36, 184)(37, 178)(38, 139)(39, 140)(40, 190)(41, 192)(42, 191)(43, 143)(44, 197)(45, 144)(46, 183)(47, 201)(48, 193)(49, 198)(50, 147)(51, 148)(52, 207)(53, 209)(54, 208)(55, 211)(56, 213)(57, 152)(58, 157)(59, 199)(60, 216)(61, 154)(62, 155)(63, 166)(64, 156)(65, 220)(66, 223)(67, 204)(68, 224)(69, 225)(70, 160)(71, 162)(72, 161)(73, 168)(74, 229)(75, 231)(76, 228)(77, 164)(78, 169)(79, 179)(80, 212)(81, 167)(82, 214)(83, 226)(84, 187)(85, 218)(86, 236)(87, 172)(88, 174)(89, 173)(90, 221)(91, 175)(92, 200)(93, 176)(94, 202)(95, 237)(96, 180)(97, 233)(98, 205)(99, 234)(100, 185)(101, 210)(102, 235)(103, 186)(104, 188)(105, 189)(106, 203)(107, 232)(108, 196)(109, 194)(110, 238)(111, 195)(112, 227)(113, 217)(114, 219)(115, 222)(116, 206)(117, 215)(118, 230)(119, 240)(120, 239)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1902
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 120 f = 66
	degree seq :: [ 30^8 ]

E24.1904 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 15, 20})
Quotient :: loop
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^3 * T2^-1, T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^3, T2 * T1^-2 * T2^-2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1, T2 * T1^-2 * T2^5 * T1^-2, T1^15 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 26, 146, 64, 184, 97, 217, 105, 225, 51, 171, 34, 154, 72, 192, 95, 215, 42, 162, 16, 136, 41, 161, 93, 213, 111, 231, 90, 210, 39, 159, 15, 135, 5, 125)(2, 122, 7, 127, 19, 139, 48, 168, 102, 222, 65, 185, 73, 193, 30, 150, 13, 133, 33, 153, 79, 199, 92, 212, 40, 160, 35, 155, 81, 201, 78, 198, 112, 232, 56, 176, 22, 142, 8, 128)(4, 124, 12, 132, 31, 151, 75, 195, 91, 211, 52, 172, 68, 188, 29, 149, 71, 191, 100, 220, 46, 166, 18, 138, 6, 126, 17, 137, 43, 163, 89, 209, 116, 236, 60, 180, 24, 144, 9, 129)(11, 131, 28, 148, 69, 189, 83, 203, 45, 165, 98, 218, 117, 237, 67, 187, 118, 238, 96, 216, 113, 233, 58, 178, 23, 143, 57, 177, 88, 208, 38, 158, 87, 207, 76, 196, 62, 182, 25, 145)(14, 134, 36, 156, 82, 202, 55, 175, 63, 183, 27, 147, 66, 186, 47, 167, 20, 140, 50, 170, 106, 226, 108, 228, 94, 214, 86, 206, 120, 240, 104, 224, 80, 200, 61, 181, 85, 205, 37, 157)(21, 141, 53, 173, 107, 227, 99, 219, 101, 221, 49, 169, 103, 223, 70, 190, 44, 164, 84, 204, 115, 235, 59, 179, 114, 234, 110, 230, 119, 239, 74, 194, 32, 152, 77, 197, 109, 229, 54, 174)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 136)(7, 125)(8, 141)(9, 143)(10, 145)(11, 123)(12, 150)(13, 124)(14, 155)(15, 158)(16, 160)(17, 128)(18, 165)(19, 167)(20, 127)(21, 172)(22, 175)(23, 161)(24, 179)(25, 181)(26, 183)(27, 130)(28, 188)(29, 131)(30, 164)(31, 194)(32, 132)(33, 171)(34, 133)(35, 162)(36, 135)(37, 204)(38, 206)(39, 209)(40, 211)(41, 138)(42, 214)(43, 190)(44, 137)(45, 217)(46, 219)(47, 197)(48, 221)(49, 139)(50, 225)(51, 140)(52, 212)(53, 142)(54, 177)(55, 230)(56, 231)(57, 144)(58, 170)(59, 218)(60, 168)(61, 213)(62, 227)(63, 176)(64, 222)(65, 146)(66, 237)(67, 147)(68, 174)(69, 223)(70, 148)(71, 154)(72, 149)(73, 228)(74, 216)(75, 207)(76, 151)(77, 201)(78, 152)(79, 224)(80, 153)(81, 157)(82, 189)(83, 156)(84, 193)(85, 182)(86, 215)(87, 159)(88, 229)(89, 238)(90, 232)(91, 184)(92, 234)(93, 178)(94, 185)(95, 187)(96, 163)(97, 195)(98, 166)(99, 196)(100, 198)(101, 220)(102, 236)(103, 240)(104, 169)(105, 203)(106, 233)(107, 226)(108, 173)(109, 186)(110, 199)(111, 200)(112, 191)(113, 239)(114, 180)(115, 205)(116, 210)(117, 235)(118, 192)(119, 202)(120, 208)
	local type(s) :: { ( 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15 ) }
Outer automorphisms :: reflexible
Dual of E24.1900
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 120 f = 68
	degree seq :: [ 40^6 ]

E24.1905 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 15, 20})
Quotient :: loop
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T2 * T1^2 * T2 * T1^-2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^20 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 24, 144)(13, 133, 28, 148)(14, 134, 29, 149)(15, 135, 32, 152)(18, 138, 37, 157)(19, 139, 40, 160)(20, 140, 41, 161)(22, 142, 45, 165)(23, 143, 48, 168)(25, 145, 52, 172)(26, 146, 53, 173)(27, 147, 56, 176)(30, 150, 61, 181)(31, 151, 62, 182)(33, 153, 66, 186)(34, 154, 67, 187)(35, 155, 69, 189)(36, 156, 70, 190)(38, 158, 50, 170)(39, 159, 75, 195)(42, 162, 79, 199)(43, 163, 55, 175)(44, 164, 80, 200)(46, 166, 74, 194)(47, 167, 83, 203)(49, 169, 85, 205)(51, 171, 86, 206)(54, 174, 90, 210)(57, 177, 94, 214)(58, 178, 95, 215)(59, 179, 96, 216)(60, 180, 97, 217)(63, 183, 101, 221)(64, 184, 102, 222)(65, 185, 98, 218)(68, 188, 104, 224)(71, 191, 106, 226)(72, 192, 103, 223)(73, 193, 88, 208)(76, 196, 82, 202)(77, 197, 91, 211)(78, 198, 105, 225)(81, 201, 89, 209)(84, 204, 111, 231)(87, 207, 115, 235)(92, 212, 117, 237)(93, 213, 116, 236)(99, 219, 118, 238)(100, 220, 113, 233)(107, 227, 114, 234)(108, 228, 110, 230)(109, 229, 119, 239)(112, 232, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 143)(12, 145)(13, 147)(14, 126)(15, 151)(16, 153)(17, 155)(18, 128)(19, 159)(20, 129)(21, 163)(22, 130)(23, 167)(24, 169)(25, 171)(26, 132)(27, 175)(28, 177)(29, 179)(30, 134)(31, 168)(32, 183)(33, 185)(34, 136)(35, 188)(36, 137)(37, 192)(38, 138)(39, 170)(40, 196)(41, 197)(42, 140)(43, 174)(44, 141)(45, 182)(46, 142)(47, 202)(48, 204)(49, 154)(50, 144)(51, 160)(52, 207)(53, 162)(54, 146)(55, 203)(56, 211)(57, 213)(58, 148)(59, 164)(60, 149)(61, 219)(62, 150)(63, 206)(64, 152)(65, 223)(66, 214)(67, 216)(68, 165)(69, 215)(70, 217)(71, 156)(72, 210)(73, 157)(74, 158)(75, 212)(76, 226)(77, 227)(78, 161)(79, 220)(80, 221)(81, 166)(82, 186)(83, 230)(84, 178)(85, 232)(86, 189)(87, 234)(88, 172)(89, 173)(90, 184)(91, 187)(92, 176)(93, 238)(94, 235)(95, 199)(96, 193)(97, 201)(98, 180)(99, 195)(100, 181)(101, 236)(102, 191)(103, 231)(104, 237)(105, 190)(106, 233)(107, 194)(108, 198)(109, 200)(110, 208)(111, 229)(112, 224)(113, 205)(114, 222)(115, 240)(116, 209)(117, 218)(118, 228)(119, 225)(120, 239)
	local type(s) :: { ( 15, 20, 15, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.1901
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 120 f = 14
	degree seq :: [ 4^60 ]

E24.1906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 20})
Quotient :: dipole
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|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 * Y1 * Y2^-3 * Y1 * Y2^2, (Y2^-2 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2, (Y1 * Y2 * Y1 * Y2^-1)^3, Y2 * Y1 * Y2^4 * Y1 * Y2^4 * Y1 * Y2 * Y1, Y2^15, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 31, 151)(16, 136, 33, 153)(18, 138, 26, 146)(19, 139, 38, 158)(20, 140, 39, 159)(22, 142, 30, 150)(23, 143, 43, 163)(24, 144, 45, 165)(27, 147, 50, 170)(28, 148, 51, 171)(32, 152, 57, 177)(34, 154, 61, 181)(35, 155, 62, 182)(36, 156, 64, 184)(37, 157, 58, 178)(40, 160, 70, 190)(41, 161, 72, 192)(42, 162, 71, 191)(44, 164, 77, 197)(46, 166, 63, 183)(47, 167, 81, 201)(48, 168, 73, 193)(49, 169, 78, 198)(52, 172, 87, 207)(53, 173, 89, 209)(54, 174, 88, 208)(55, 175, 91, 211)(56, 176, 93, 213)(59, 179, 79, 199)(60, 180, 96, 216)(65, 185, 100, 220)(66, 186, 103, 223)(67, 187, 84, 204)(68, 188, 104, 224)(69, 189, 105, 225)(74, 194, 109, 229)(75, 195, 111, 231)(76, 196, 108, 228)(80, 200, 92, 212)(82, 202, 94, 214)(83, 203, 106, 226)(85, 205, 98, 218)(86, 206, 116, 236)(90, 210, 101, 221)(95, 215, 117, 237)(97, 217, 113, 233)(99, 219, 114, 234)(102, 222, 115, 235)(107, 227, 112, 232)(110, 230, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 277, 397, 305, 425, 342, 462, 356, 476, 351, 471, 350, 470, 314, 434, 282, 402, 262, 382, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 266, 386, 289, 409, 322, 442, 355, 475, 345, 465, 331, 451, 358, 478, 330, 450, 294, 414, 270, 390, 254, 374, 246, 366)(247, 367, 255, 375, 272, 392, 298, 418, 335, 455, 343, 463, 326, 446, 291, 411, 325, 445, 349, 469, 313, 433, 281, 401, 261, 381, 274, 394, 256, 376)(249, 369, 259, 379, 276, 396, 257, 377, 275, 395, 303, 423, 340, 460, 316, 436, 283, 403, 315, 435, 336, 456, 347, 467, 311, 431, 280, 400, 260, 380)(251, 371, 263, 383, 284, 404, 318, 438, 352, 472, 346, 466, 309, 429, 279, 399, 308, 428, 341, 461, 304, 424, 293, 413, 269, 389, 286, 406, 264, 384)(253, 373, 267, 387, 288, 408, 265, 385, 287, 407, 301, 421, 334, 454, 296, 416, 271, 391, 295, 415, 332, 452, 357, 477, 328, 448, 292, 412, 268, 388)(273, 393, 299, 419, 310, 430, 297, 417, 307, 427, 278, 398, 306, 426, 339, 459, 302, 422, 338, 458, 360, 480, 348, 468, 312, 432, 337, 457, 300, 420)(285, 405, 319, 439, 327, 447, 317, 437, 324, 444, 290, 410, 323, 443, 354, 474, 321, 441, 344, 464, 359, 479, 333, 453, 329, 449, 353, 473, 320, 440)
	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, 266)(19, 278)(20, 279)(21, 250)(22, 270)(23, 283)(24, 285)(25, 252)(26, 258)(27, 290)(28, 291)(29, 254)(30, 262)(31, 255)(32, 297)(33, 256)(34, 301)(35, 302)(36, 304)(37, 298)(38, 259)(39, 260)(40, 310)(41, 312)(42, 311)(43, 263)(44, 317)(45, 264)(46, 303)(47, 321)(48, 313)(49, 318)(50, 267)(51, 268)(52, 327)(53, 329)(54, 328)(55, 331)(56, 333)(57, 272)(58, 277)(59, 319)(60, 336)(61, 274)(62, 275)(63, 286)(64, 276)(65, 340)(66, 343)(67, 324)(68, 344)(69, 345)(70, 280)(71, 282)(72, 281)(73, 288)(74, 349)(75, 351)(76, 348)(77, 284)(78, 289)(79, 299)(80, 332)(81, 287)(82, 334)(83, 346)(84, 307)(85, 338)(86, 356)(87, 292)(88, 294)(89, 293)(90, 341)(91, 295)(92, 320)(93, 296)(94, 322)(95, 357)(96, 300)(97, 353)(98, 325)(99, 354)(100, 305)(101, 330)(102, 355)(103, 306)(104, 308)(105, 309)(106, 323)(107, 352)(108, 316)(109, 314)(110, 358)(111, 315)(112, 347)(113, 337)(114, 339)(115, 342)(116, 326)(117, 335)(118, 350)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 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 E24.1909
Graph:: bipartite
	v = 68 e = 240 f = 126
	degree seq :: [ 4^60, 30^8 ]

E24.1907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 20})
Quotient :: dipole
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^3 * Y2 * Y1^-2, Y2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^3, Y1^-3 * Y2^3 * Y1^-3 * Y2, Y2^20 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 40, 160, 91, 211, 64, 184, 102, 222, 116, 236, 90, 210, 112, 232, 71, 191, 34, 154, 13, 133, 4, 124)(3, 123, 9, 129, 23, 143, 41, 161, 18, 138, 45, 165, 97, 217, 75, 195, 87, 207, 39, 159, 89, 209, 118, 238, 72, 192, 29, 149, 11, 131)(5, 125, 14, 134, 35, 155, 42, 162, 94, 214, 65, 185, 26, 146, 63, 183, 56, 176, 111, 231, 80, 200, 33, 153, 51, 171, 20, 140, 7, 127)(8, 128, 21, 141, 52, 172, 92, 212, 114, 234, 60, 180, 48, 168, 101, 221, 100, 220, 78, 198, 32, 152, 12, 132, 30, 150, 44, 164, 17, 137)(10, 130, 25, 145, 61, 181, 93, 213, 58, 178, 50, 170, 105, 225, 83, 203, 36, 156, 15, 135, 38, 158, 86, 206, 95, 215, 67, 187, 27, 147)(19, 139, 47, 167, 77, 197, 81, 201, 37, 157, 84, 204, 73, 193, 108, 228, 53, 173, 22, 142, 55, 175, 110, 230, 79, 199, 104, 224, 49, 169)(24, 144, 59, 179, 98, 218, 46, 166, 99, 219, 76, 196, 31, 151, 74, 194, 96, 216, 43, 163, 70, 190, 28, 148, 68, 188, 54, 174, 57, 177)(62, 182, 107, 227, 106, 226, 113, 233, 119, 239, 82, 202, 69, 189, 103, 223, 120, 240, 88, 208, 109, 229, 66, 186, 117, 237, 115, 235, 85, 205)(241, 361, 243, 363, 250, 370, 266, 386, 304, 424, 337, 457, 345, 465, 291, 411, 274, 394, 312, 432, 335, 455, 282, 402, 256, 376, 281, 401, 333, 453, 351, 471, 330, 450, 279, 399, 255, 375, 245, 365)(242, 362, 247, 367, 259, 379, 288, 408, 342, 462, 305, 425, 313, 433, 270, 390, 253, 373, 273, 393, 319, 439, 332, 452, 280, 400, 275, 395, 321, 441, 318, 438, 352, 472, 296, 416, 262, 382, 248, 368)(244, 364, 252, 372, 271, 391, 315, 435, 331, 451, 292, 412, 308, 428, 269, 389, 311, 431, 340, 460, 286, 406, 258, 378, 246, 366, 257, 377, 283, 403, 329, 449, 356, 476, 300, 420, 264, 384, 249, 369)(251, 371, 268, 388, 309, 429, 323, 443, 285, 405, 338, 458, 357, 477, 307, 427, 358, 478, 336, 456, 353, 473, 298, 418, 263, 383, 297, 417, 328, 448, 278, 398, 327, 447, 316, 436, 302, 422, 265, 385)(254, 374, 276, 396, 322, 442, 295, 415, 303, 423, 267, 387, 306, 426, 287, 407, 260, 380, 290, 410, 346, 466, 348, 468, 334, 454, 326, 446, 360, 480, 344, 464, 320, 440, 301, 421, 325, 445, 277, 397)(261, 381, 293, 413, 347, 467, 339, 459, 341, 461, 289, 409, 343, 463, 310, 430, 284, 404, 324, 444, 355, 475, 299, 419, 354, 474, 350, 470, 359, 479, 314, 434, 272, 392, 317, 437, 349, 469, 294, 414)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 266)(11, 268)(12, 271)(13, 273)(14, 276)(15, 245)(16, 281)(17, 283)(18, 246)(19, 288)(20, 290)(21, 293)(22, 248)(23, 297)(24, 249)(25, 251)(26, 304)(27, 306)(28, 309)(29, 311)(30, 253)(31, 315)(32, 317)(33, 319)(34, 312)(35, 321)(36, 322)(37, 254)(38, 327)(39, 255)(40, 275)(41, 333)(42, 256)(43, 329)(44, 324)(45, 338)(46, 258)(47, 260)(48, 342)(49, 343)(50, 346)(51, 274)(52, 308)(53, 347)(54, 261)(55, 303)(56, 262)(57, 328)(58, 263)(59, 354)(60, 264)(61, 325)(62, 265)(63, 267)(64, 337)(65, 313)(66, 287)(67, 358)(68, 269)(69, 323)(70, 284)(71, 340)(72, 335)(73, 270)(74, 272)(75, 331)(76, 302)(77, 349)(78, 352)(79, 332)(80, 301)(81, 318)(82, 295)(83, 285)(84, 355)(85, 277)(86, 360)(87, 316)(88, 278)(89, 356)(90, 279)(91, 292)(92, 280)(93, 351)(94, 326)(95, 282)(96, 353)(97, 345)(98, 357)(99, 341)(100, 286)(101, 289)(102, 305)(103, 310)(104, 320)(105, 291)(106, 348)(107, 339)(108, 334)(109, 294)(110, 359)(111, 330)(112, 296)(113, 298)(114, 350)(115, 299)(116, 300)(117, 307)(118, 336)(119, 314)(120, 344)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.1908
Graph:: bipartite
	v = 14 e = 240 f = 180
	degree seq :: [ 30^8, 40^6 ]

E24.1908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 20})
Quotient :: dipole
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^20 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 257, 377)(250, 370, 261, 381)(252, 372, 265, 385)(254, 374, 269, 389)(255, 375, 271, 391)(256, 376, 273, 393)(258, 378, 277, 397)(259, 379, 279, 399)(260, 380, 281, 401)(262, 382, 285, 405)(263, 383, 287, 407)(264, 384, 289, 409)(266, 386, 293, 413)(267, 387, 295, 415)(268, 388, 297, 417)(270, 390, 301, 421)(272, 392, 305, 425)(274, 394, 309, 429)(275, 395, 310, 430)(276, 396, 312, 432)(278, 398, 294, 414)(280, 400, 316, 436)(282, 402, 319, 439)(283, 403, 306, 426)(284, 404, 320, 440)(286, 406, 302, 422)(288, 408, 324, 444)(290, 410, 328, 448)(291, 411, 329, 449)(292, 412, 331, 451)(296, 416, 335, 455)(298, 418, 338, 458)(299, 419, 325, 445)(300, 420, 339, 459)(303, 423, 322, 442)(304, 424, 334, 454)(307, 427, 326, 446)(308, 428, 336, 456)(311, 431, 330, 450)(313, 433, 332, 452)(314, 434, 343, 463)(315, 435, 323, 443)(317, 437, 327, 447)(318, 438, 337, 457)(321, 441, 347, 467)(333, 453, 352, 472)(340, 460, 356, 476)(341, 461, 355, 475)(342, 462, 351, 471)(344, 464, 359, 479)(345, 465, 354, 474)(346, 466, 350, 470)(348, 468, 358, 478)(349, 469, 357, 477)(353, 473, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 263)(12, 266)(13, 267)(14, 246)(15, 272)(16, 247)(17, 275)(18, 278)(19, 280)(20, 249)(21, 283)(22, 250)(23, 288)(24, 251)(25, 291)(26, 294)(27, 296)(28, 253)(29, 299)(30, 254)(31, 303)(32, 306)(33, 307)(34, 256)(35, 311)(36, 257)(37, 290)(38, 314)(39, 315)(40, 301)(41, 317)(42, 260)(43, 313)(44, 261)(45, 293)(46, 262)(47, 322)(48, 325)(49, 326)(50, 264)(51, 330)(52, 265)(53, 274)(54, 333)(55, 334)(56, 285)(57, 336)(58, 268)(59, 332)(60, 269)(61, 277)(62, 270)(63, 341)(64, 271)(65, 327)(66, 343)(67, 284)(68, 273)(69, 344)(70, 346)(71, 279)(72, 282)(73, 276)(74, 323)(75, 338)(76, 342)(77, 340)(78, 281)(79, 345)(80, 329)(81, 286)(82, 350)(83, 287)(84, 308)(85, 352)(86, 300)(87, 289)(88, 353)(89, 355)(90, 295)(91, 298)(92, 292)(93, 304)(94, 319)(95, 351)(96, 321)(97, 297)(98, 354)(99, 310)(100, 302)(101, 359)(102, 305)(103, 358)(104, 316)(105, 309)(106, 356)(107, 312)(108, 318)(109, 320)(110, 360)(111, 324)(112, 349)(113, 335)(114, 328)(115, 347)(116, 331)(117, 337)(118, 339)(119, 348)(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) :: { ( 30, 40 ), ( 30, 40, 30, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.1907
Graph:: simple bipartite
	v = 180 e = 240 f = 14
	degree seq :: [ 2^120, 4^60 ]

E24.1909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 20})
Quotient :: dipole
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|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^-3 * Y3 * Y1^-3, (Y3 * Y1 * Y3 * Y1^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^2 * Y3 * Y1^-2)^2, Y1^20 ]
Map::
	R = (1, 121, 2, 122, 5, 125, 11, 131, 23, 143, 47, 167, 82, 202, 66, 186, 94, 214, 115, 235, 120, 240, 119, 239, 105, 225, 70, 190, 97, 217, 81, 201, 46, 166, 22, 142, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 31, 151, 48, 168, 84, 204, 58, 178, 28, 148, 57, 177, 93, 213, 118, 238, 108, 228, 78, 198, 41, 161, 77, 197, 107, 227, 74, 194, 38, 158, 18, 138, 8, 128)(6, 126, 13, 133, 27, 147, 55, 175, 83, 203, 110, 230, 88, 208, 52, 172, 87, 207, 114, 234, 102, 222, 71, 191, 36, 156, 17, 137, 35, 155, 68, 188, 45, 165, 62, 182, 30, 150, 14, 134)(9, 129, 19, 139, 39, 159, 50, 170, 24, 144, 49, 169, 34, 154, 16, 136, 33, 153, 65, 185, 103, 223, 111, 231, 109, 229, 80, 200, 101, 221, 116, 236, 89, 209, 53, 173, 42, 162, 20, 140)(12, 132, 25, 145, 51, 171, 40, 160, 76, 196, 106, 226, 113, 233, 85, 205, 112, 232, 104, 224, 117, 237, 98, 218, 60, 180, 29, 149, 59, 179, 44, 164, 21, 141, 43, 163, 54, 174, 26, 146)(32, 152, 63, 183, 86, 206, 69, 189, 95, 215, 79, 199, 100, 220, 61, 181, 99, 219, 75, 195, 92, 212, 56, 176, 91, 211, 67, 187, 96, 216, 73, 193, 37, 157, 72, 192, 90, 210, 64, 184)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 264)(12, 245)(13, 268)(14, 269)(15, 272)(16, 247)(17, 248)(18, 277)(19, 280)(20, 281)(21, 250)(22, 285)(23, 288)(24, 251)(25, 292)(26, 293)(27, 296)(28, 253)(29, 254)(30, 301)(31, 302)(32, 255)(33, 306)(34, 307)(35, 309)(36, 310)(37, 258)(38, 290)(39, 315)(40, 259)(41, 260)(42, 319)(43, 295)(44, 320)(45, 262)(46, 314)(47, 323)(48, 263)(49, 325)(50, 278)(51, 326)(52, 265)(53, 266)(54, 330)(55, 283)(56, 267)(57, 334)(58, 335)(59, 336)(60, 337)(61, 270)(62, 271)(63, 341)(64, 342)(65, 338)(66, 273)(67, 274)(68, 344)(69, 275)(70, 276)(71, 346)(72, 343)(73, 328)(74, 286)(75, 279)(76, 322)(77, 331)(78, 345)(79, 282)(80, 284)(81, 329)(82, 316)(83, 287)(84, 351)(85, 289)(86, 291)(87, 355)(88, 313)(89, 321)(90, 294)(91, 317)(92, 357)(93, 356)(94, 297)(95, 298)(96, 299)(97, 300)(98, 305)(99, 358)(100, 353)(101, 303)(102, 304)(103, 312)(104, 308)(105, 318)(106, 311)(107, 354)(108, 350)(109, 359)(110, 348)(111, 324)(112, 360)(113, 340)(114, 347)(115, 327)(116, 333)(117, 332)(118, 339)(119, 349)(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, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E24.1906
Graph:: simple bipartite
	v = 126 e = 240 f = 68
	degree seq :: [ 2^120, 40^6 ]

E24.1910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 20})
Quotient :: dipole
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, Y1 * Y2 * Y1 * R * Y2 * R, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-3 * R * Y2^-1 * R * Y2^-2, (Y2^-2 * R * Y2^-2)^2, (Y2^-1 * R * Y2^-2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^20, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 31, 151)(16, 136, 33, 153)(18, 138, 37, 157)(19, 139, 39, 159)(20, 140, 41, 161)(22, 142, 45, 165)(23, 143, 47, 167)(24, 144, 49, 169)(26, 146, 53, 173)(27, 147, 55, 175)(28, 148, 57, 177)(30, 150, 61, 181)(32, 152, 65, 185)(34, 154, 69, 189)(35, 155, 70, 190)(36, 156, 72, 192)(38, 158, 54, 174)(40, 160, 76, 196)(42, 162, 79, 199)(43, 163, 66, 186)(44, 164, 80, 200)(46, 166, 62, 182)(48, 168, 84, 204)(50, 170, 88, 208)(51, 171, 89, 209)(52, 172, 91, 211)(56, 176, 95, 215)(58, 178, 98, 218)(59, 179, 85, 205)(60, 180, 99, 219)(63, 183, 82, 202)(64, 184, 94, 214)(67, 187, 86, 206)(68, 188, 96, 216)(71, 191, 90, 210)(73, 193, 92, 212)(74, 194, 103, 223)(75, 195, 83, 203)(77, 197, 87, 207)(78, 198, 97, 217)(81, 201, 107, 227)(93, 213, 112, 232)(100, 220, 116, 236)(101, 221, 115, 235)(102, 222, 111, 231)(104, 224, 119, 239)(105, 225, 114, 234)(106, 226, 110, 230)(108, 228, 118, 238)(109, 229, 117, 237)(113, 233, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 278, 398, 314, 434, 323, 443, 287, 407, 322, 442, 350, 470, 360, 480, 357, 477, 337, 457, 297, 417, 336, 456, 321, 441, 286, 406, 262, 382, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 266, 386, 294, 414, 333, 453, 304, 424, 271, 391, 303, 423, 341, 461, 359, 479, 348, 468, 318, 438, 281, 401, 317, 437, 340, 460, 302, 422, 270, 390, 254, 374, 246, 366)(247, 367, 255, 375, 272, 392, 306, 426, 343, 463, 358, 478, 339, 459, 310, 430, 346, 466, 356, 476, 331, 451, 298, 418, 268, 388, 253, 373, 267, 387, 296, 416, 285, 405, 293, 413, 274, 394, 256, 376)(249, 369, 259, 379, 280, 400, 301, 421, 277, 397, 290, 410, 264, 384, 251, 371, 263, 383, 288, 408, 325, 445, 352, 472, 349, 469, 320, 440, 329, 449, 355, 475, 347, 467, 312, 432, 282, 402, 260, 380)(257, 377, 275, 395, 311, 431, 279, 399, 315, 435, 338, 458, 354, 474, 328, 448, 353, 473, 335, 455, 351, 471, 324, 444, 308, 428, 273, 393, 307, 427, 284, 404, 261, 381, 283, 403, 313, 433, 276, 396)(265, 385, 291, 411, 330, 450, 295, 415, 334, 454, 319, 439, 345, 465, 309, 429, 344, 464, 316, 436, 342, 462, 305, 425, 327, 447, 289, 409, 326, 446, 300, 420, 269, 389, 299, 419, 332, 452, 292, 412)
	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, 285)(23, 287)(24, 289)(25, 252)(26, 293)(27, 295)(28, 297)(29, 254)(30, 301)(31, 255)(32, 305)(33, 256)(34, 309)(35, 310)(36, 312)(37, 258)(38, 294)(39, 259)(40, 316)(41, 260)(42, 319)(43, 306)(44, 320)(45, 262)(46, 302)(47, 263)(48, 324)(49, 264)(50, 328)(51, 329)(52, 331)(53, 266)(54, 278)(55, 267)(56, 335)(57, 268)(58, 338)(59, 325)(60, 339)(61, 270)(62, 286)(63, 322)(64, 334)(65, 272)(66, 283)(67, 326)(68, 336)(69, 274)(70, 275)(71, 330)(72, 276)(73, 332)(74, 343)(75, 323)(76, 280)(77, 327)(78, 337)(79, 282)(80, 284)(81, 347)(82, 303)(83, 315)(84, 288)(85, 299)(86, 307)(87, 317)(88, 290)(89, 291)(90, 311)(91, 292)(92, 313)(93, 352)(94, 304)(95, 296)(96, 308)(97, 318)(98, 298)(99, 300)(100, 356)(101, 355)(102, 351)(103, 314)(104, 359)(105, 354)(106, 350)(107, 321)(108, 358)(109, 357)(110, 346)(111, 342)(112, 333)(113, 360)(114, 345)(115, 341)(116, 340)(117, 349)(118, 348)(119, 344)(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) :: { ( 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E24.1911
Graph:: bipartite
	v = 66 e = 240 f = 128
	degree seq :: [ 4^60, 40^6 ]

E24.1911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 20})
Quotient :: dipole
Aut^+ = C5 x S4 (small group id <120, 37>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y1^3 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3^-2 * Y1^-2 * Y3 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3^3, Y3^2 * Y1^-3 * Y3 * Y1^-3 * Y3, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 40, 160, 91, 211, 64, 184, 102, 222, 116, 236, 90, 210, 112, 232, 71, 191, 34, 154, 13, 133, 4, 124)(3, 123, 9, 129, 23, 143, 41, 161, 18, 138, 45, 165, 97, 217, 75, 195, 87, 207, 39, 159, 89, 209, 118, 238, 72, 192, 29, 149, 11, 131)(5, 125, 14, 134, 35, 155, 42, 162, 94, 214, 65, 185, 26, 146, 63, 183, 56, 176, 111, 231, 80, 200, 33, 153, 51, 171, 20, 140, 7, 127)(8, 128, 21, 141, 52, 172, 92, 212, 114, 234, 60, 180, 48, 168, 101, 221, 100, 220, 78, 198, 32, 152, 12, 132, 30, 150, 44, 164, 17, 137)(10, 130, 25, 145, 61, 181, 93, 213, 58, 178, 50, 170, 105, 225, 83, 203, 36, 156, 15, 135, 38, 158, 86, 206, 95, 215, 67, 187, 27, 147)(19, 139, 47, 167, 77, 197, 81, 201, 37, 157, 84, 204, 73, 193, 108, 228, 53, 173, 22, 142, 55, 175, 110, 230, 79, 199, 104, 224, 49, 169)(24, 144, 59, 179, 98, 218, 46, 166, 99, 219, 76, 196, 31, 151, 74, 194, 96, 216, 43, 163, 70, 190, 28, 148, 68, 188, 54, 174, 57, 177)(62, 182, 107, 227, 106, 226, 113, 233, 119, 239, 82, 202, 69, 189, 103, 223, 120, 240, 88, 208, 109, 229, 66, 186, 117, 237, 115, 235, 85, 205)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 266)(11, 268)(12, 271)(13, 273)(14, 276)(15, 245)(16, 281)(17, 283)(18, 246)(19, 288)(20, 290)(21, 293)(22, 248)(23, 297)(24, 249)(25, 251)(26, 304)(27, 306)(28, 309)(29, 311)(30, 253)(31, 315)(32, 317)(33, 319)(34, 312)(35, 321)(36, 322)(37, 254)(38, 327)(39, 255)(40, 275)(41, 333)(42, 256)(43, 329)(44, 324)(45, 338)(46, 258)(47, 260)(48, 342)(49, 343)(50, 346)(51, 274)(52, 308)(53, 347)(54, 261)(55, 303)(56, 262)(57, 328)(58, 263)(59, 354)(60, 264)(61, 325)(62, 265)(63, 267)(64, 337)(65, 313)(66, 287)(67, 358)(68, 269)(69, 323)(70, 284)(71, 340)(72, 335)(73, 270)(74, 272)(75, 331)(76, 302)(77, 349)(78, 352)(79, 332)(80, 301)(81, 318)(82, 295)(83, 285)(84, 355)(85, 277)(86, 360)(87, 316)(88, 278)(89, 356)(90, 279)(91, 292)(92, 280)(93, 351)(94, 326)(95, 282)(96, 353)(97, 345)(98, 357)(99, 341)(100, 286)(101, 289)(102, 305)(103, 310)(104, 320)(105, 291)(106, 348)(107, 339)(108, 334)(109, 294)(110, 359)(111, 330)(112, 296)(113, 298)(114, 350)(115, 299)(116, 300)(117, 307)(118, 336)(119, 314)(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, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E24.1910
Graph:: simple bipartite
	v = 128 e = 240 f = 66
	degree seq :: [ 2^120, 30^8 ]

E24.1912 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 30})
Quotient :: regular
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2, T1^-1 * T2 * T1^2 * T2 * T1^-7, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T1^-2 * T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 57, 32, 52, 80, 104, 117, 115, 93, 110, 87, 109, 120, 113, 91, 60, 35, 53, 81, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 82, 50, 26, 12, 25, 47, 79, 106, 98, 69, 74, 44, 73, 100, 96, 66, 40, 21, 39, 65, 94, 62, 36, 18, 8)(6, 13, 27, 51, 83, 105, 78, 46, 24, 45, 75, 103, 97, 68, 41, 67, 72, 99, 95, 64, 38, 20, 9, 19, 37, 63, 86, 54, 30, 14)(16, 28, 48, 76, 101, 116, 111, 88, 56, 84, 107, 118, 114, 92, 61, 85, 108, 119, 112, 90, 59, 34, 17, 29, 49, 77, 102, 89, 58, 33)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 87)(62, 93)(63, 88)(64, 92)(65, 71)(66, 91)(67, 89)(68, 90)(70, 78)(73, 101)(74, 102)(75, 104)(79, 107)(82, 108)(83, 109)(86, 110)(94, 111)(95, 115)(96, 114)(97, 113)(98, 112)(99, 116)(100, 117)(103, 118)(105, 119)(106, 120)
	local type(s) :: { ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1913
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 60 f = 10
	degree seq :: [ 30^4 ]

E24.1913 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 30})
Quotient :: regular
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^12, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 64, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 65, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 66, 82, 78, 59, 42, 27, 16, 26)(23, 36, 50, 67, 81, 80, 62, 44, 29, 38, 24, 37)(39, 55, 68, 84, 97, 94, 77, 58, 41, 57, 40, 56)(52, 69, 83, 98, 96, 79, 61, 72, 54, 71, 53, 70)(73, 89, 99, 113, 110, 93, 76, 92, 75, 91, 74, 90)(85, 100, 112, 111, 95, 104, 88, 103, 87, 102, 86, 101)(105, 117, 120, 116, 109, 115, 108, 114, 107, 119, 106, 118)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 64)(49, 66)(51, 68)(55, 73)(56, 74)(57, 75)(58, 76)(59, 77)(60, 78)(65, 81)(67, 83)(69, 85)(70, 86)(71, 87)(72, 88)(79, 95)(80, 96)(82, 97)(84, 99)(89, 105)(90, 106)(91, 107)(92, 108)(93, 109)(94, 110)(98, 112)(100, 114)(101, 115)(102, 116)(103, 117)(104, 118)(111, 119)(113, 120)
	local type(s) :: { ( 30^12 ) }
Outer automorphisms :: reflexible
Dual of E24.1912
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 60 f = 4
	degree seq :: [ 12^10 ]

E24.1914 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 30})
Quotient :: edge
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 69, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 77, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 67, 85, 72, 53, 37, 23, 13, 21)(25, 39, 56, 75, 92, 80, 62, 44, 29, 42, 27, 40)(32, 47, 65, 83, 100, 88, 71, 52, 36, 50, 34, 48)(55, 73, 90, 107, 96, 79, 61, 78, 59, 76, 57, 74)(64, 81, 98, 114, 104, 87, 70, 86, 68, 84, 66, 82)(89, 105, 119, 111, 95, 110, 94, 109, 93, 108, 91, 106)(97, 112, 120, 118, 103, 117, 102, 116, 101, 115, 99, 113)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 132)(130, 134)(135, 145)(136, 147)(137, 146)(138, 149)(139, 150)(140, 152)(141, 154)(142, 153)(143, 156)(144, 157)(148, 155)(151, 158)(159, 175)(160, 177)(161, 176)(162, 179)(163, 178)(164, 181)(165, 182)(166, 183)(167, 184)(168, 186)(169, 185)(170, 188)(171, 187)(172, 190)(173, 191)(174, 192)(180, 189)(193, 209)(194, 211)(195, 210)(196, 213)(197, 212)(198, 214)(199, 215)(200, 216)(201, 217)(202, 219)(203, 218)(204, 221)(205, 220)(206, 222)(207, 223)(208, 224)(225, 236)(226, 237)(227, 239)(228, 238)(229, 232)(230, 233)(231, 235)(234, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^12 ) }
Outer automorphisms :: reflexible
Dual of E24.1918
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 120 f = 4
	degree seq :: [ 2^60, 12^10 ]

E24.1915 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 30})
Quotient :: edge
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^-2 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-2 * T1^2 * T2^3 * T1, T2^-1 * T1^3 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2^3 * T1^-3)^2, T2 * T1^-1 * T2^-9 * T1^-1, T2^-1 * T1 * T2^-1 * T1^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 104, 68, 41, 30, 53, 84, 98, 73, 110, 120, 107, 88, 97, 61, 34, 21, 42, 71, 108, 93, 59, 33, 15, 5)(2, 7, 19, 40, 69, 106, 76, 46, 24, 11, 27, 52, 85, 101, 92, 115, 78, 49, 81, 95, 60, 37, 32, 57, 90, 112, 74, 44, 22, 8)(4, 12, 29, 54, 87, 114, 77, 47, 26, 50, 83, 96, 65, 58, 91, 116, 80, 99, 63, 35, 16, 14, 31, 56, 89, 113, 75, 45, 23, 9)(6, 17, 36, 64, 100, 117, 103, 67, 39, 20, 13, 28, 51, 82, 111, 119, 105, 70, 55, 86, 94, 62, 43, 72, 109, 118, 102, 66, 38, 18)(121, 122, 126, 136, 154, 180, 214, 203, 173, 147, 133, 124)(123, 129, 137, 128, 141, 155, 182, 215, 204, 170, 148, 131)(125, 134, 138, 157, 181, 216, 206, 172, 150, 132, 140, 127)(130, 144, 156, 143, 162, 142, 163, 183, 218, 201, 171, 146)(135, 152, 158, 185, 217, 205, 175, 149, 161, 139, 159, 151)(145, 167, 184, 166, 191, 165, 192, 164, 193, 219, 202, 169)(153, 178, 186, 221, 208, 174, 190, 160, 188, 176, 187, 177)(168, 198, 220, 197, 228, 196, 229, 195, 230, 194, 231, 200)(179, 212, 222, 207, 227, 189, 225, 209, 224, 210, 223, 211)(199, 236, 237, 235, 213, 234, 238, 226, 240, 233, 239, 232)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^12 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1919
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 120 f = 60
	degree seq :: [ 12^10, 30^4 ]

E24.1916 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 30})
Quotient :: edge
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2, T1^-1 * T2 * T1^2 * T2 * T1^-7, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T1^-2 * T2 * T1^-1)^4 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 87)(62, 93)(63, 88)(64, 92)(65, 71)(66, 91)(67, 89)(68, 90)(70, 78)(73, 101)(74, 102)(75, 104)(79, 107)(82, 108)(83, 109)(86, 110)(94, 111)(95, 115)(96, 114)(97, 113)(98, 112)(99, 116)(100, 117)(103, 118)(105, 119)(106, 120)(121, 122, 125, 131, 143, 163, 191, 177, 152, 172, 200, 224, 237, 235, 213, 230, 207, 229, 240, 233, 211, 180, 155, 173, 201, 190, 162, 142, 130, 124)(123, 127, 135, 151, 175, 202, 170, 146, 132, 145, 167, 199, 226, 218, 189, 194, 164, 193, 220, 216, 186, 160, 141, 159, 185, 214, 182, 156, 138, 128)(126, 133, 147, 171, 203, 225, 198, 166, 144, 165, 195, 223, 217, 188, 161, 187, 192, 219, 215, 184, 158, 140, 129, 139, 157, 183, 206, 174, 150, 134)(136, 148, 168, 196, 221, 236, 231, 208, 176, 204, 227, 238, 234, 212, 181, 205, 228, 239, 232, 210, 179, 154, 137, 149, 169, 197, 222, 209, 178, 153)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 24, 24 ), ( 24^30 ) }
Outer automorphisms :: reflexible
Dual of E24.1917
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 120 f = 10
	degree seq :: [ 2^60, 30^4 ]

E24.1917 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 30})
Quotient :: loop
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 17, 137, 28, 148, 43, 163, 60, 180, 46, 166, 31, 151, 19, 139, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 22, 142, 35, 155, 51, 171, 69, 189, 54, 174, 38, 158, 24, 144, 14, 134, 6, 126)(7, 127, 15, 135, 26, 146, 41, 161, 58, 178, 77, 197, 63, 183, 45, 165, 30, 150, 18, 138, 9, 129, 16, 136)(11, 131, 20, 140, 33, 153, 49, 169, 67, 187, 85, 205, 72, 192, 53, 173, 37, 157, 23, 143, 13, 133, 21, 141)(25, 145, 39, 159, 56, 176, 75, 195, 92, 212, 80, 200, 62, 182, 44, 164, 29, 149, 42, 162, 27, 147, 40, 160)(32, 152, 47, 167, 65, 185, 83, 203, 100, 220, 88, 208, 71, 191, 52, 172, 36, 156, 50, 170, 34, 154, 48, 168)(55, 175, 73, 193, 90, 210, 107, 227, 96, 216, 79, 199, 61, 181, 78, 198, 59, 179, 76, 196, 57, 177, 74, 194)(64, 184, 81, 201, 98, 218, 114, 234, 104, 224, 87, 207, 70, 190, 86, 206, 68, 188, 84, 204, 66, 186, 82, 202)(89, 209, 105, 225, 119, 239, 111, 231, 95, 215, 110, 230, 94, 214, 109, 229, 93, 213, 108, 228, 91, 211, 106, 226)(97, 217, 112, 232, 120, 240, 118, 238, 103, 223, 117, 237, 102, 222, 116, 236, 101, 221, 115, 235, 99, 219, 113, 233)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 132)(9, 124)(10, 134)(11, 125)(12, 128)(13, 126)(14, 130)(15, 145)(16, 147)(17, 146)(18, 149)(19, 150)(20, 152)(21, 154)(22, 153)(23, 156)(24, 157)(25, 135)(26, 137)(27, 136)(28, 155)(29, 138)(30, 139)(31, 158)(32, 140)(33, 142)(34, 141)(35, 148)(36, 143)(37, 144)(38, 151)(39, 175)(40, 177)(41, 176)(42, 179)(43, 178)(44, 181)(45, 182)(46, 183)(47, 184)(48, 186)(49, 185)(50, 188)(51, 187)(52, 190)(53, 191)(54, 192)(55, 159)(56, 161)(57, 160)(58, 163)(59, 162)(60, 189)(61, 164)(62, 165)(63, 166)(64, 167)(65, 169)(66, 168)(67, 171)(68, 170)(69, 180)(70, 172)(71, 173)(72, 174)(73, 209)(74, 211)(75, 210)(76, 213)(77, 212)(78, 214)(79, 215)(80, 216)(81, 217)(82, 219)(83, 218)(84, 221)(85, 220)(86, 222)(87, 223)(88, 224)(89, 193)(90, 195)(91, 194)(92, 197)(93, 196)(94, 198)(95, 199)(96, 200)(97, 201)(98, 203)(99, 202)(100, 205)(101, 204)(102, 206)(103, 207)(104, 208)(105, 236)(106, 237)(107, 239)(108, 238)(109, 232)(110, 233)(111, 235)(112, 229)(113, 230)(114, 240)(115, 231)(116, 225)(117, 226)(118, 228)(119, 227)(120, 234)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1916
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 120 f = 64
	degree seq :: [ 24^10 ]

E24.1918 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 30})
Quotient :: loop
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^-2 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-2 * T1^2 * T2^3 * T1, T2^-1 * T1^3 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2^3 * T1^-3)^2, T2 * T1^-1 * T2^-9 * T1^-1, T2^-1 * T1 * T2^-1 * T1^9 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 25, 145, 48, 168, 79, 199, 104, 224, 68, 188, 41, 161, 30, 150, 53, 173, 84, 204, 98, 218, 73, 193, 110, 230, 120, 240, 107, 227, 88, 208, 97, 217, 61, 181, 34, 154, 21, 141, 42, 162, 71, 191, 108, 228, 93, 213, 59, 179, 33, 153, 15, 135, 5, 125)(2, 122, 7, 127, 19, 139, 40, 160, 69, 189, 106, 226, 76, 196, 46, 166, 24, 144, 11, 131, 27, 147, 52, 172, 85, 205, 101, 221, 92, 212, 115, 235, 78, 198, 49, 169, 81, 201, 95, 215, 60, 180, 37, 157, 32, 152, 57, 177, 90, 210, 112, 232, 74, 194, 44, 164, 22, 142, 8, 128)(4, 124, 12, 132, 29, 149, 54, 174, 87, 207, 114, 234, 77, 197, 47, 167, 26, 146, 50, 170, 83, 203, 96, 216, 65, 185, 58, 178, 91, 211, 116, 236, 80, 200, 99, 219, 63, 183, 35, 155, 16, 136, 14, 134, 31, 151, 56, 176, 89, 209, 113, 233, 75, 195, 45, 165, 23, 143, 9, 129)(6, 126, 17, 137, 36, 156, 64, 184, 100, 220, 117, 237, 103, 223, 67, 187, 39, 159, 20, 140, 13, 133, 28, 148, 51, 171, 82, 202, 111, 231, 119, 239, 105, 225, 70, 190, 55, 175, 86, 206, 94, 214, 62, 182, 43, 163, 72, 192, 109, 229, 118, 238, 102, 222, 66, 186, 38, 158, 18, 138)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 136)(7, 125)(8, 141)(9, 137)(10, 144)(11, 123)(12, 140)(13, 124)(14, 138)(15, 152)(16, 154)(17, 128)(18, 157)(19, 159)(20, 127)(21, 155)(22, 163)(23, 162)(24, 156)(25, 167)(26, 130)(27, 133)(28, 131)(29, 161)(30, 132)(31, 135)(32, 158)(33, 178)(34, 180)(35, 182)(36, 143)(37, 181)(38, 185)(39, 151)(40, 188)(41, 139)(42, 142)(43, 183)(44, 193)(45, 192)(46, 191)(47, 184)(48, 198)(49, 145)(50, 148)(51, 146)(52, 150)(53, 147)(54, 190)(55, 149)(56, 187)(57, 153)(58, 186)(59, 212)(60, 214)(61, 216)(62, 215)(63, 218)(64, 166)(65, 217)(66, 221)(67, 177)(68, 176)(69, 225)(70, 160)(71, 165)(72, 164)(73, 219)(74, 231)(75, 230)(76, 229)(77, 228)(78, 220)(79, 236)(80, 168)(81, 171)(82, 169)(83, 173)(84, 170)(85, 175)(86, 172)(87, 227)(88, 174)(89, 224)(90, 223)(91, 179)(92, 222)(93, 234)(94, 203)(95, 204)(96, 206)(97, 205)(98, 201)(99, 202)(100, 197)(101, 208)(102, 207)(103, 211)(104, 210)(105, 209)(106, 240)(107, 189)(108, 196)(109, 195)(110, 194)(111, 200)(112, 199)(113, 239)(114, 238)(115, 213)(116, 237)(117, 235)(118, 226)(119, 232)(120, 233)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.1914
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 120 f = 70
	degree seq :: [ 60^4 ]

E24.1919 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 30})
Quotient :: loop
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2, T1^-1 * T2 * T1^2 * T2 * T1^-7, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T1^-2 * T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 24, 144)(13, 133, 28, 148)(14, 134, 29, 149)(15, 135, 32, 152)(18, 138, 35, 155)(19, 139, 33, 153)(20, 140, 34, 154)(22, 142, 41, 161)(23, 143, 44, 164)(25, 145, 48, 168)(26, 146, 49, 169)(27, 147, 52, 172)(30, 150, 53, 173)(31, 151, 56, 176)(36, 156, 61, 181)(37, 157, 57, 177)(38, 158, 60, 180)(39, 159, 58, 178)(40, 160, 59, 179)(42, 162, 69, 189)(43, 163, 72, 192)(45, 165, 76, 196)(46, 166, 77, 197)(47, 167, 80, 200)(50, 170, 81, 201)(51, 171, 84, 204)(54, 174, 85, 205)(55, 175, 87, 207)(62, 182, 93, 213)(63, 183, 88, 208)(64, 184, 92, 212)(65, 185, 71, 191)(66, 186, 91, 211)(67, 187, 89, 209)(68, 188, 90, 210)(70, 190, 78, 198)(73, 193, 101, 221)(74, 194, 102, 222)(75, 195, 104, 224)(79, 199, 107, 227)(82, 202, 108, 228)(83, 203, 109, 229)(86, 206, 110, 230)(94, 214, 111, 231)(95, 215, 115, 235)(96, 216, 114, 234)(97, 217, 113, 233)(98, 218, 112, 232)(99, 219, 116, 236)(100, 220, 117, 237)(103, 223, 118, 238)(105, 225, 119, 239)(106, 226, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 143)(12, 145)(13, 147)(14, 126)(15, 151)(16, 148)(17, 149)(18, 128)(19, 157)(20, 129)(21, 159)(22, 130)(23, 163)(24, 165)(25, 167)(26, 132)(27, 171)(28, 168)(29, 169)(30, 134)(31, 175)(32, 172)(33, 136)(34, 137)(35, 173)(36, 138)(37, 183)(38, 140)(39, 185)(40, 141)(41, 187)(42, 142)(43, 191)(44, 193)(45, 195)(46, 144)(47, 199)(48, 196)(49, 197)(50, 146)(51, 203)(52, 200)(53, 201)(54, 150)(55, 202)(56, 204)(57, 152)(58, 153)(59, 154)(60, 155)(61, 205)(62, 156)(63, 206)(64, 158)(65, 214)(66, 160)(67, 192)(68, 161)(69, 194)(70, 162)(71, 177)(72, 219)(73, 220)(74, 164)(75, 223)(76, 221)(77, 222)(78, 166)(79, 226)(80, 224)(81, 190)(82, 170)(83, 225)(84, 227)(85, 228)(86, 174)(87, 229)(88, 176)(89, 178)(90, 179)(91, 180)(92, 181)(93, 230)(94, 182)(95, 184)(96, 186)(97, 188)(98, 189)(99, 215)(100, 216)(101, 236)(102, 209)(103, 217)(104, 237)(105, 198)(106, 218)(107, 238)(108, 239)(109, 240)(110, 207)(111, 208)(112, 210)(113, 211)(114, 212)(115, 213)(116, 231)(117, 235)(118, 234)(119, 232)(120, 233)
	local type(s) :: { ( 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E24.1915
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 14
	degree seq :: [ 4^60 ]

E24.1920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 30})
Quotient :: dipole
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^12, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 12, 132)(10, 130, 14, 134)(15, 135, 25, 145)(16, 136, 27, 147)(17, 137, 26, 146)(18, 138, 29, 149)(19, 139, 30, 150)(20, 140, 32, 152)(21, 141, 34, 154)(22, 142, 33, 153)(23, 143, 36, 156)(24, 144, 37, 157)(28, 148, 35, 155)(31, 151, 38, 158)(39, 159, 55, 175)(40, 160, 57, 177)(41, 161, 56, 176)(42, 162, 59, 179)(43, 163, 58, 178)(44, 164, 61, 181)(45, 165, 62, 182)(46, 166, 63, 183)(47, 167, 64, 184)(48, 168, 66, 186)(49, 169, 65, 185)(50, 170, 68, 188)(51, 171, 67, 187)(52, 172, 70, 190)(53, 173, 71, 191)(54, 174, 72, 192)(60, 180, 69, 189)(73, 193, 89, 209)(74, 194, 91, 211)(75, 195, 90, 210)(76, 196, 93, 213)(77, 197, 92, 212)(78, 198, 94, 214)(79, 199, 95, 215)(80, 200, 96, 216)(81, 201, 97, 217)(82, 202, 99, 219)(83, 203, 98, 218)(84, 204, 101, 221)(85, 205, 100, 220)(86, 206, 102, 222)(87, 207, 103, 223)(88, 208, 104, 224)(105, 225, 116, 236)(106, 226, 117, 237)(107, 227, 119, 239)(108, 228, 118, 238)(109, 229, 112, 232)(110, 230, 113, 233)(111, 231, 115, 235)(114, 234, 120, 240)(241, 361, 243, 363, 248, 368, 257, 377, 268, 388, 283, 403, 300, 420, 286, 406, 271, 391, 259, 379, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 262, 382, 275, 395, 291, 411, 309, 429, 294, 414, 278, 398, 264, 384, 254, 374, 246, 366)(247, 367, 255, 375, 266, 386, 281, 401, 298, 418, 317, 437, 303, 423, 285, 405, 270, 390, 258, 378, 249, 369, 256, 376)(251, 371, 260, 380, 273, 393, 289, 409, 307, 427, 325, 445, 312, 432, 293, 413, 277, 397, 263, 383, 253, 373, 261, 381)(265, 385, 279, 399, 296, 416, 315, 435, 332, 452, 320, 440, 302, 422, 284, 404, 269, 389, 282, 402, 267, 387, 280, 400)(272, 392, 287, 407, 305, 425, 323, 443, 340, 460, 328, 448, 311, 431, 292, 412, 276, 396, 290, 410, 274, 394, 288, 408)(295, 415, 313, 433, 330, 450, 347, 467, 336, 456, 319, 439, 301, 421, 318, 438, 299, 419, 316, 436, 297, 417, 314, 434)(304, 424, 321, 441, 338, 458, 354, 474, 344, 464, 327, 447, 310, 430, 326, 446, 308, 428, 324, 444, 306, 426, 322, 442)(329, 449, 345, 465, 359, 479, 351, 471, 335, 455, 350, 470, 334, 454, 349, 469, 333, 453, 348, 468, 331, 451, 346, 466)(337, 457, 352, 472, 360, 480, 358, 478, 343, 463, 357, 477, 342, 462, 356, 476, 341, 461, 355, 475, 339, 459, 353, 473)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 252)(9, 244)(10, 254)(11, 245)(12, 248)(13, 246)(14, 250)(15, 265)(16, 267)(17, 266)(18, 269)(19, 270)(20, 272)(21, 274)(22, 273)(23, 276)(24, 277)(25, 255)(26, 257)(27, 256)(28, 275)(29, 258)(30, 259)(31, 278)(32, 260)(33, 262)(34, 261)(35, 268)(36, 263)(37, 264)(38, 271)(39, 295)(40, 297)(41, 296)(42, 299)(43, 298)(44, 301)(45, 302)(46, 303)(47, 304)(48, 306)(49, 305)(50, 308)(51, 307)(52, 310)(53, 311)(54, 312)(55, 279)(56, 281)(57, 280)(58, 283)(59, 282)(60, 309)(61, 284)(62, 285)(63, 286)(64, 287)(65, 289)(66, 288)(67, 291)(68, 290)(69, 300)(70, 292)(71, 293)(72, 294)(73, 329)(74, 331)(75, 330)(76, 333)(77, 332)(78, 334)(79, 335)(80, 336)(81, 337)(82, 339)(83, 338)(84, 341)(85, 340)(86, 342)(87, 343)(88, 344)(89, 313)(90, 315)(91, 314)(92, 317)(93, 316)(94, 318)(95, 319)(96, 320)(97, 321)(98, 323)(99, 322)(100, 325)(101, 324)(102, 326)(103, 327)(104, 328)(105, 356)(106, 357)(107, 359)(108, 358)(109, 352)(110, 353)(111, 355)(112, 349)(113, 350)(114, 360)(115, 351)(116, 345)(117, 346)(118, 348)(119, 347)(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) :: { ( 2, 60, 2, 60 ), ( 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 E24.1923
Graph:: bipartite
	v = 70 e = 240 f = 124
	degree seq :: [ 4^60, 24^10 ]

E24.1921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 30})
Quotient :: dipole
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y2^2 * Y1^5 * Y2^2 * Y1^-1, Y2^2 * Y1^-1 * Y2^2 * Y1^-2 * Y2 * Y1^-3 * Y2, Y2^8 * Y1 * Y2^-2 * Y1^-1, Y1^12 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 34, 154, 60, 180, 94, 214, 83, 203, 53, 173, 27, 147, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 35, 155, 62, 182, 95, 215, 84, 204, 50, 170, 28, 148, 11, 131)(5, 125, 14, 134, 18, 138, 37, 157, 61, 181, 96, 216, 86, 206, 52, 172, 30, 150, 12, 132, 20, 140, 7, 127)(10, 130, 24, 144, 36, 156, 23, 143, 42, 162, 22, 142, 43, 163, 63, 183, 98, 218, 81, 201, 51, 171, 26, 146)(15, 135, 32, 152, 38, 158, 65, 185, 97, 217, 85, 205, 55, 175, 29, 149, 41, 161, 19, 139, 39, 159, 31, 151)(25, 145, 47, 167, 64, 184, 46, 166, 71, 191, 45, 165, 72, 192, 44, 164, 73, 193, 99, 219, 82, 202, 49, 169)(33, 153, 58, 178, 66, 186, 101, 221, 88, 208, 54, 174, 70, 190, 40, 160, 68, 188, 56, 176, 67, 187, 57, 177)(48, 168, 78, 198, 100, 220, 77, 197, 108, 228, 76, 196, 109, 229, 75, 195, 110, 230, 74, 194, 111, 231, 80, 200)(59, 179, 92, 212, 102, 222, 87, 207, 107, 227, 69, 189, 105, 225, 89, 209, 104, 224, 90, 210, 103, 223, 91, 211)(79, 199, 116, 236, 117, 237, 115, 235, 93, 213, 114, 234, 118, 238, 106, 226, 120, 240, 113, 233, 119, 239, 112, 232)(241, 361, 243, 363, 250, 370, 265, 385, 288, 408, 319, 439, 344, 464, 308, 428, 281, 401, 270, 390, 293, 413, 324, 444, 338, 458, 313, 433, 350, 470, 360, 480, 347, 467, 328, 448, 337, 457, 301, 421, 274, 394, 261, 381, 282, 402, 311, 431, 348, 468, 333, 453, 299, 419, 273, 393, 255, 375, 245, 365)(242, 362, 247, 367, 259, 379, 280, 400, 309, 429, 346, 466, 316, 436, 286, 406, 264, 384, 251, 371, 267, 387, 292, 412, 325, 445, 341, 461, 332, 452, 355, 475, 318, 438, 289, 409, 321, 441, 335, 455, 300, 420, 277, 397, 272, 392, 297, 417, 330, 450, 352, 472, 314, 434, 284, 404, 262, 382, 248, 368)(244, 364, 252, 372, 269, 389, 294, 414, 327, 447, 354, 474, 317, 437, 287, 407, 266, 386, 290, 410, 323, 443, 336, 456, 305, 425, 298, 418, 331, 451, 356, 476, 320, 440, 339, 459, 303, 423, 275, 395, 256, 376, 254, 374, 271, 391, 296, 416, 329, 449, 353, 473, 315, 435, 285, 405, 263, 383, 249, 369)(246, 366, 257, 377, 276, 396, 304, 424, 340, 460, 357, 477, 343, 463, 307, 427, 279, 399, 260, 380, 253, 373, 268, 388, 291, 411, 322, 442, 351, 471, 359, 479, 345, 465, 310, 430, 295, 415, 326, 446, 334, 454, 302, 422, 283, 403, 312, 432, 349, 469, 358, 478, 342, 462, 306, 426, 278, 398, 258, 378)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 265)(11, 267)(12, 269)(13, 268)(14, 271)(15, 245)(16, 254)(17, 276)(18, 246)(19, 280)(20, 253)(21, 282)(22, 248)(23, 249)(24, 251)(25, 288)(26, 290)(27, 292)(28, 291)(29, 294)(30, 293)(31, 296)(32, 297)(33, 255)(34, 261)(35, 256)(36, 304)(37, 272)(38, 258)(39, 260)(40, 309)(41, 270)(42, 311)(43, 312)(44, 262)(45, 263)(46, 264)(47, 266)(48, 319)(49, 321)(50, 323)(51, 322)(52, 325)(53, 324)(54, 327)(55, 326)(56, 329)(57, 330)(58, 331)(59, 273)(60, 277)(61, 274)(62, 283)(63, 275)(64, 340)(65, 298)(66, 278)(67, 279)(68, 281)(69, 346)(70, 295)(71, 348)(72, 349)(73, 350)(74, 284)(75, 285)(76, 286)(77, 287)(78, 289)(79, 344)(80, 339)(81, 335)(82, 351)(83, 336)(84, 338)(85, 341)(86, 334)(87, 354)(88, 337)(89, 353)(90, 352)(91, 356)(92, 355)(93, 299)(94, 302)(95, 300)(96, 305)(97, 301)(98, 313)(99, 303)(100, 357)(101, 332)(102, 306)(103, 307)(104, 308)(105, 310)(106, 316)(107, 328)(108, 333)(109, 358)(110, 360)(111, 359)(112, 314)(113, 315)(114, 317)(115, 318)(116, 320)(117, 343)(118, 342)(119, 345)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.1922
Graph:: bipartite
	v = 14 e = 240 f = 180
	degree seq :: [ 24^10, 60^4 ]

E24.1922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 30})
Quotient :: dipole
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-7, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1^-1)^30 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 257, 377)(250, 370, 261, 381)(252, 372, 265, 385)(254, 374, 269, 389)(255, 375, 263, 383)(256, 376, 267, 387)(258, 378, 275, 395)(259, 379, 264, 384)(260, 380, 268, 388)(262, 382, 281, 401)(266, 386, 287, 407)(270, 390, 293, 413)(271, 391, 285, 405)(272, 392, 291, 411)(273, 393, 283, 403)(274, 394, 289, 409)(276, 396, 301, 421)(277, 397, 286, 406)(278, 398, 292, 412)(279, 399, 284, 404)(280, 400, 290, 410)(282, 402, 309, 429)(288, 408, 317, 437)(294, 414, 325, 445)(295, 415, 315, 435)(296, 416, 323, 443)(297, 417, 313, 433)(298, 418, 321, 441)(299, 419, 311, 431)(300, 420, 319, 439)(302, 422, 334, 454)(303, 423, 316, 436)(304, 424, 324, 444)(305, 425, 314, 434)(306, 426, 322, 442)(307, 427, 312, 432)(308, 428, 320, 440)(310, 430, 331, 451)(318, 438, 346, 466)(326, 446, 343, 463)(327, 447, 344, 464)(328, 448, 345, 465)(329, 449, 342, 462)(330, 450, 341, 461)(332, 452, 339, 459)(333, 453, 340, 460)(335, 455, 350, 470)(336, 456, 349, 469)(337, 457, 348, 468)(338, 458, 347, 467)(351, 471, 360, 480)(352, 472, 359, 479)(353, 473, 358, 478)(354, 474, 357, 477)(355, 475, 356, 476)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 263)(12, 266)(13, 267)(14, 246)(15, 271)(16, 247)(17, 273)(18, 276)(19, 277)(20, 249)(21, 279)(22, 250)(23, 283)(24, 251)(25, 285)(26, 288)(27, 289)(28, 253)(29, 291)(30, 254)(31, 295)(32, 256)(33, 297)(34, 257)(35, 299)(36, 302)(37, 303)(38, 260)(39, 305)(40, 261)(41, 307)(42, 262)(43, 311)(44, 264)(45, 313)(46, 265)(47, 315)(48, 318)(49, 319)(50, 268)(51, 321)(52, 269)(53, 323)(54, 270)(55, 327)(56, 272)(57, 329)(58, 274)(59, 330)(60, 275)(61, 332)(62, 314)(63, 328)(64, 278)(65, 326)(66, 280)(67, 334)(68, 281)(69, 333)(70, 282)(71, 339)(72, 284)(73, 341)(74, 286)(75, 342)(76, 287)(77, 344)(78, 298)(79, 340)(80, 290)(81, 310)(82, 292)(83, 346)(84, 293)(85, 345)(86, 294)(87, 351)(88, 296)(89, 352)(90, 353)(91, 300)(92, 354)(93, 301)(94, 355)(95, 304)(96, 306)(97, 308)(98, 309)(99, 356)(100, 312)(101, 357)(102, 358)(103, 316)(104, 359)(105, 317)(106, 360)(107, 320)(108, 322)(109, 324)(110, 325)(111, 331)(112, 338)(113, 337)(114, 336)(115, 335)(116, 343)(117, 350)(118, 349)(119, 348)(120, 347)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 24, 60 ), ( 24, 60, 24, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1921
Graph:: simple bipartite
	v = 180 e = 240 f = 14
	degree seq :: [ 2^120, 4^60 ]

E24.1923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 30})
Quotient :: dipole
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-8 * Y3 * Y1^2 * Y3, Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-4 * Y3 * Y1^-3 * Y3 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 5, 125, 11, 131, 23, 143, 43, 163, 71, 191, 57, 177, 32, 152, 52, 172, 80, 200, 104, 224, 117, 237, 115, 235, 93, 213, 110, 230, 87, 207, 109, 229, 120, 240, 113, 233, 91, 211, 60, 180, 35, 155, 53, 173, 81, 201, 70, 190, 42, 162, 22, 142, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 31, 151, 55, 175, 82, 202, 50, 170, 26, 146, 12, 132, 25, 145, 47, 167, 79, 199, 106, 226, 98, 218, 69, 189, 74, 194, 44, 164, 73, 193, 100, 220, 96, 216, 66, 186, 40, 160, 21, 141, 39, 159, 65, 185, 94, 214, 62, 182, 36, 156, 18, 138, 8, 128)(6, 126, 13, 133, 27, 147, 51, 171, 83, 203, 105, 225, 78, 198, 46, 166, 24, 144, 45, 165, 75, 195, 103, 223, 97, 217, 68, 188, 41, 161, 67, 187, 72, 192, 99, 219, 95, 215, 64, 184, 38, 158, 20, 140, 9, 129, 19, 139, 37, 157, 63, 183, 86, 206, 54, 174, 30, 150, 14, 134)(16, 136, 28, 148, 48, 168, 76, 196, 101, 221, 116, 236, 111, 231, 88, 208, 56, 176, 84, 204, 107, 227, 118, 238, 114, 234, 92, 212, 61, 181, 85, 205, 108, 228, 119, 239, 112, 232, 90, 210, 59, 179, 34, 154, 17, 137, 29, 149, 49, 169, 77, 197, 102, 222, 89, 209, 58, 178, 33, 153)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 264)(12, 245)(13, 268)(14, 269)(15, 272)(16, 247)(17, 248)(18, 275)(19, 273)(20, 274)(21, 250)(22, 281)(23, 284)(24, 251)(25, 288)(26, 289)(27, 292)(28, 253)(29, 254)(30, 293)(31, 296)(32, 255)(33, 259)(34, 260)(35, 258)(36, 301)(37, 297)(38, 300)(39, 298)(40, 299)(41, 262)(42, 309)(43, 312)(44, 263)(45, 316)(46, 317)(47, 320)(48, 265)(49, 266)(50, 321)(51, 324)(52, 267)(53, 270)(54, 325)(55, 327)(56, 271)(57, 277)(58, 279)(59, 280)(60, 278)(61, 276)(62, 333)(63, 328)(64, 332)(65, 311)(66, 331)(67, 329)(68, 330)(69, 282)(70, 318)(71, 305)(72, 283)(73, 341)(74, 342)(75, 344)(76, 285)(77, 286)(78, 310)(79, 347)(80, 287)(81, 290)(82, 348)(83, 349)(84, 291)(85, 294)(86, 350)(87, 295)(88, 303)(89, 307)(90, 308)(91, 306)(92, 304)(93, 302)(94, 351)(95, 355)(96, 354)(97, 353)(98, 352)(99, 356)(100, 357)(101, 313)(102, 314)(103, 358)(104, 315)(105, 359)(106, 360)(107, 319)(108, 322)(109, 323)(110, 326)(111, 334)(112, 338)(113, 337)(114, 336)(115, 335)(116, 339)(117, 340)(118, 343)(119, 345)(120, 346)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 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 E24.1920
Graph:: simple bipartite
	v = 124 e = 240 f = 70
	degree seq :: [ 2^120, 60^4 ]

E24.1924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 30})
Quotient :: dipole
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^2 * R)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * R * Y2^2 * R, R * Y2^-2 * R * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2, Y2^-4 * R * Y2^-2 * R * Y2^-4, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^5 * Y1 * Y2^-1 * Y1 * Y2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 23, 143)(16, 136, 27, 147)(18, 138, 35, 155)(19, 139, 24, 144)(20, 140, 28, 148)(22, 142, 41, 161)(26, 146, 47, 167)(30, 150, 53, 173)(31, 151, 45, 165)(32, 152, 51, 171)(33, 153, 43, 163)(34, 154, 49, 169)(36, 156, 61, 181)(37, 157, 46, 166)(38, 158, 52, 172)(39, 159, 44, 164)(40, 160, 50, 170)(42, 162, 69, 189)(48, 168, 77, 197)(54, 174, 85, 205)(55, 175, 75, 195)(56, 176, 83, 203)(57, 177, 73, 193)(58, 178, 81, 201)(59, 179, 71, 191)(60, 180, 79, 199)(62, 182, 94, 214)(63, 183, 76, 196)(64, 184, 84, 204)(65, 185, 74, 194)(66, 186, 82, 202)(67, 187, 72, 192)(68, 188, 80, 200)(70, 190, 91, 211)(78, 198, 106, 226)(86, 206, 103, 223)(87, 207, 104, 224)(88, 208, 105, 225)(89, 209, 102, 222)(90, 210, 101, 221)(92, 212, 99, 219)(93, 213, 100, 220)(95, 215, 110, 230)(96, 216, 109, 229)(97, 217, 108, 228)(98, 218, 107, 227)(111, 231, 120, 240)(112, 232, 119, 239)(113, 233, 118, 238)(114, 234, 117, 237)(115, 235, 116, 236)(241, 361, 243, 363, 248, 368, 258, 378, 276, 396, 302, 422, 314, 434, 286, 406, 265, 385, 285, 405, 313, 433, 341, 461, 357, 477, 350, 470, 325, 445, 345, 465, 317, 437, 344, 464, 359, 479, 348, 468, 322, 442, 292, 412, 269, 389, 291, 411, 321, 441, 310, 430, 282, 402, 262, 382, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 266, 386, 288, 408, 318, 438, 298, 418, 274, 394, 257, 377, 273, 393, 297, 417, 329, 449, 352, 472, 338, 458, 309, 429, 333, 453, 301, 421, 332, 452, 354, 474, 336, 456, 306, 426, 280, 400, 261, 381, 279, 399, 305, 425, 326, 446, 294, 414, 270, 390, 254, 374, 246, 366)(247, 367, 255, 375, 271, 391, 295, 415, 327, 447, 351, 471, 331, 451, 300, 420, 275, 395, 299, 419, 330, 450, 353, 473, 337, 457, 308, 428, 281, 401, 307, 427, 334, 454, 355, 475, 335, 455, 304, 424, 278, 398, 260, 380, 249, 369, 259, 379, 277, 397, 303, 423, 328, 448, 296, 416, 272, 392, 256, 376)(251, 371, 263, 383, 283, 403, 311, 431, 339, 459, 356, 476, 343, 463, 316, 436, 287, 407, 315, 435, 342, 462, 358, 478, 349, 469, 324, 444, 293, 413, 323, 443, 346, 466, 360, 480, 347, 467, 320, 440, 290, 410, 268, 388, 253, 373, 267, 387, 289, 409, 319, 439, 340, 460, 312, 432, 284, 404, 264, 384)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 265)(13, 246)(14, 269)(15, 263)(16, 267)(17, 248)(18, 275)(19, 264)(20, 268)(21, 250)(22, 281)(23, 255)(24, 259)(25, 252)(26, 287)(27, 256)(28, 260)(29, 254)(30, 293)(31, 285)(32, 291)(33, 283)(34, 289)(35, 258)(36, 301)(37, 286)(38, 292)(39, 284)(40, 290)(41, 262)(42, 309)(43, 273)(44, 279)(45, 271)(46, 277)(47, 266)(48, 317)(49, 274)(50, 280)(51, 272)(52, 278)(53, 270)(54, 325)(55, 315)(56, 323)(57, 313)(58, 321)(59, 311)(60, 319)(61, 276)(62, 334)(63, 316)(64, 324)(65, 314)(66, 322)(67, 312)(68, 320)(69, 282)(70, 331)(71, 299)(72, 307)(73, 297)(74, 305)(75, 295)(76, 303)(77, 288)(78, 346)(79, 300)(80, 308)(81, 298)(82, 306)(83, 296)(84, 304)(85, 294)(86, 343)(87, 344)(88, 345)(89, 342)(90, 341)(91, 310)(92, 339)(93, 340)(94, 302)(95, 350)(96, 349)(97, 348)(98, 347)(99, 332)(100, 333)(101, 330)(102, 329)(103, 326)(104, 327)(105, 328)(106, 318)(107, 338)(108, 337)(109, 336)(110, 335)(111, 360)(112, 359)(113, 358)(114, 357)(115, 356)(116, 355)(117, 354)(118, 353)(119, 352)(120, 351)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E24.1925
Graph:: bipartite
	v = 64 e = 240 f = 130
	degree seq :: [ 4^60, 60^4 ]

E24.1925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 30})
Quotient :: dipole
Aut^+ = C3 x ((C10 x C2) : C2) (small group id <120, 20>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1^-1, Y3 * Y1^-1 * Y3^-9 * Y1^-1, Y3 * Y1^-3 * Y3^2 * Y1^-1 * Y3 * Y1^-4, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 34, 154, 60, 180, 94, 214, 83, 203, 53, 173, 27, 147, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 35, 155, 62, 182, 95, 215, 84, 204, 50, 170, 28, 148, 11, 131)(5, 125, 14, 134, 18, 138, 37, 157, 61, 181, 96, 216, 86, 206, 52, 172, 30, 150, 12, 132, 20, 140, 7, 127)(10, 130, 24, 144, 36, 156, 23, 143, 42, 162, 22, 142, 43, 163, 63, 183, 98, 218, 81, 201, 51, 171, 26, 146)(15, 135, 32, 152, 38, 158, 65, 185, 97, 217, 85, 205, 55, 175, 29, 149, 41, 161, 19, 139, 39, 159, 31, 151)(25, 145, 47, 167, 64, 184, 46, 166, 71, 191, 45, 165, 72, 192, 44, 164, 73, 193, 99, 219, 82, 202, 49, 169)(33, 153, 58, 178, 66, 186, 101, 221, 88, 208, 54, 174, 70, 190, 40, 160, 68, 188, 56, 176, 67, 187, 57, 177)(48, 168, 78, 198, 100, 220, 77, 197, 108, 228, 76, 196, 109, 229, 75, 195, 110, 230, 74, 194, 111, 231, 80, 200)(59, 179, 92, 212, 102, 222, 87, 207, 107, 227, 69, 189, 105, 225, 89, 209, 104, 224, 90, 210, 103, 223, 91, 211)(79, 199, 116, 236, 117, 237, 115, 235, 93, 213, 114, 234, 118, 238, 106, 226, 120, 240, 113, 233, 119, 239, 112, 232)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 265)(11, 267)(12, 269)(13, 268)(14, 271)(15, 245)(16, 254)(17, 276)(18, 246)(19, 280)(20, 253)(21, 282)(22, 248)(23, 249)(24, 251)(25, 288)(26, 290)(27, 292)(28, 291)(29, 294)(30, 293)(31, 296)(32, 297)(33, 255)(34, 261)(35, 256)(36, 304)(37, 272)(38, 258)(39, 260)(40, 309)(41, 270)(42, 311)(43, 312)(44, 262)(45, 263)(46, 264)(47, 266)(48, 319)(49, 321)(50, 323)(51, 322)(52, 325)(53, 324)(54, 327)(55, 326)(56, 329)(57, 330)(58, 331)(59, 273)(60, 277)(61, 274)(62, 283)(63, 275)(64, 340)(65, 298)(66, 278)(67, 279)(68, 281)(69, 346)(70, 295)(71, 348)(72, 349)(73, 350)(74, 284)(75, 285)(76, 286)(77, 287)(78, 289)(79, 344)(80, 339)(81, 335)(82, 351)(83, 336)(84, 338)(85, 341)(86, 334)(87, 354)(88, 337)(89, 353)(90, 352)(91, 356)(92, 355)(93, 299)(94, 302)(95, 300)(96, 305)(97, 301)(98, 313)(99, 303)(100, 357)(101, 332)(102, 306)(103, 307)(104, 308)(105, 310)(106, 316)(107, 328)(108, 333)(109, 358)(110, 360)(111, 359)(112, 314)(113, 315)(114, 317)(115, 318)(116, 320)(117, 343)(118, 342)(119, 345)(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, 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 E24.1924
Graph:: simple bipartite
	v = 130 e = 240 f = 64
	degree seq :: [ 2^120, 24^10 ]

E24.1926 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 60})
Quotient :: regular
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-5 * T2 * T1 * T2 * T1^-6, (T2 * T1^3 * T2 * T1^-3)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 101, 91, 58, 33, 16, 28, 48, 76, 104, 95, 114, 120, 117, 90, 57, 32, 52, 80, 107, 94, 61, 85, 111, 119, 116, 89, 56, 84, 110, 93, 60, 35, 53, 81, 108, 118, 115, 88, 113, 92, 59, 34, 17, 29, 49, 77, 105, 100, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 102, 86, 54, 30, 14, 6, 13, 27, 51, 83, 69, 99, 112, 82, 50, 26, 12, 25, 47, 79, 68, 41, 67, 98, 109, 78, 46, 24, 45, 75, 66, 40, 21, 39, 65, 97, 106, 74, 44, 73, 64, 38, 20, 9, 19, 37, 63, 96, 103, 72, 62, 36, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 87)(71, 102)(73, 104)(74, 105)(75, 107)(78, 108)(79, 110)(82, 111)(83, 113)(86, 114)(96, 115)(97, 116)(98, 117)(99, 101)(100, 103)(106, 118)(109, 119)(112, 120)
	local type(s) :: { ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1927
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 60 f = 12
	degree seq :: [ 60^2 ]

E24.1927 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 60})
Quotient :: regular
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^10, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, (T1^-1 * T2)^60 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 31, 19, 10, 4)(3, 7, 12, 22, 33, 47, 43, 28, 17, 8)(6, 13, 21, 34, 46, 45, 30, 18, 9, 14)(15, 25, 35, 49, 60, 57, 42, 27, 16, 26)(23, 36, 48, 61, 59, 44, 29, 38, 24, 37)(39, 53, 62, 74, 71, 56, 41, 55, 40, 54)(50, 63, 73, 72, 58, 66, 52, 65, 51, 64)(67, 79, 85, 83, 70, 82, 69, 81, 68, 80)(75, 86, 84, 90, 78, 89, 77, 88, 76, 87)(91, 101, 95, 105, 94, 104, 93, 103, 92, 102)(96, 106, 100, 110, 99, 109, 98, 108, 97, 107)(111, 116, 115, 120, 114, 119, 113, 118, 112, 117)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 46)(34, 48)(36, 50)(37, 51)(38, 52)(44, 58)(45, 59)(47, 60)(49, 62)(53, 67)(54, 68)(55, 69)(56, 70)(57, 71)(61, 73)(63, 75)(64, 76)(65, 77)(66, 78)(72, 84)(74, 85)(79, 91)(80, 92)(81, 93)(82, 94)(83, 95)(86, 96)(87, 97)(88, 98)(89, 99)(90, 100)(101, 111)(102, 112)(103, 113)(104, 114)(105, 115)(106, 116)(107, 117)(108, 118)(109, 119)(110, 120)
	local type(s) :: { ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1926
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 60 f = 2
	degree seq :: [ 10^12 ]

E24.1928 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 60})
Quotient :: edge
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^60 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 31, 19, 10, 4)(2, 5, 12, 22, 35, 50, 38, 24, 14, 6)(7, 15, 26, 41, 56, 45, 30, 18, 9, 16)(11, 20, 33, 48, 63, 52, 37, 23, 13, 21)(25, 39, 54, 69, 59, 44, 29, 42, 27, 40)(32, 46, 61, 75, 66, 51, 36, 49, 34, 47)(53, 67, 80, 72, 58, 71, 57, 70, 55, 68)(60, 73, 86, 78, 65, 77, 64, 76, 62, 74)(79, 91, 84, 95, 83, 94, 82, 93, 81, 92)(85, 96, 90, 100, 89, 99, 88, 98, 87, 97)(101, 111, 105, 115, 104, 114, 103, 113, 102, 112)(106, 116, 110, 120, 109, 119, 108, 118, 107, 117)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 132)(130, 134)(135, 145)(136, 147)(137, 146)(138, 149)(139, 150)(140, 152)(141, 154)(142, 153)(143, 156)(144, 157)(148, 155)(151, 158)(159, 173)(160, 175)(161, 174)(162, 177)(163, 176)(164, 178)(165, 179)(166, 180)(167, 182)(168, 181)(169, 184)(170, 183)(171, 185)(172, 186)(187, 199)(188, 201)(189, 200)(190, 202)(191, 203)(192, 204)(193, 205)(194, 207)(195, 206)(196, 208)(197, 209)(198, 210)(211, 221)(212, 222)(213, 223)(214, 224)(215, 225)(216, 226)(217, 227)(218, 228)(219, 229)(220, 230)(231, 236)(232, 237)(233, 238)(234, 239)(235, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1932
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 120 f = 2
	degree seq :: [ 2^60, 10^12 ]

E24.1929 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 60})
Quotient :: edge
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^2 * T2 * T1^-1 * T2 * T1, T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-1 * T1^3 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-6, T2^-3 * T1^-1 * T2^5 * T1^-1 * T2^-4, T1^-1 * T2^5 * T1^-1 * T2^53 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 99, 107, 87, 67, 39, 20, 13, 28, 51, 73, 93, 113, 119, 108, 88, 68, 41, 30, 53, 62, 43, 72, 92, 112, 120, 109, 89, 70, 55, 61, 34, 21, 42, 71, 91, 111, 118, 106, 86, 66, 38, 18, 6, 17, 36, 64, 85, 105, 104, 84, 59, 33, 15, 5)(2, 7, 19, 40, 69, 90, 110, 95, 75, 45, 23, 9, 4, 12, 29, 54, 80, 100, 115, 96, 76, 46, 24, 11, 27, 52, 65, 58, 83, 103, 116, 97, 77, 47, 26, 50, 60, 37, 32, 57, 82, 102, 117, 98, 78, 49, 63, 35, 16, 14, 31, 56, 81, 101, 114, 94, 74, 44, 22, 8)(121, 122, 126, 136, 154, 180, 173, 147, 133, 124)(123, 129, 137, 128, 141, 155, 182, 170, 148, 131)(125, 134, 138, 157, 181, 172, 150, 132, 140, 127)(130, 144, 156, 143, 162, 142, 163, 183, 171, 146)(135, 152, 158, 185, 175, 149, 161, 139, 159, 151)(145, 167, 184, 166, 191, 165, 192, 164, 193, 169)(153, 178, 186, 174, 190, 160, 188, 176, 187, 177)(168, 198, 205, 197, 211, 196, 212, 195, 213, 194)(179, 200, 206, 189, 209, 201, 208, 202, 207, 203)(199, 214, 225, 218, 231, 217, 232, 216, 233, 215)(204, 210, 226, 221, 229, 222, 228, 223, 227, 220)(219, 230, 224, 234, 238, 237, 240, 236, 239, 235)
	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) :: { ( 4^10 ), ( 4^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1933
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 120 f = 60
	degree seq :: [ 10^12, 60^2 ]

E24.1930 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 60})
Quotient :: edge
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-5 * T2 * T1 * T2 * T1^-6, (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, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 87)(71, 102)(73, 104)(74, 105)(75, 107)(78, 108)(79, 110)(82, 111)(83, 113)(86, 114)(96, 115)(97, 116)(98, 117)(99, 101)(100, 103)(106, 118)(109, 119)(112, 120)(121, 122, 125, 131, 143, 163, 191, 221, 211, 178, 153, 136, 148, 168, 196, 224, 215, 234, 240, 237, 210, 177, 152, 172, 200, 227, 214, 181, 205, 231, 239, 236, 209, 176, 204, 230, 213, 180, 155, 173, 201, 228, 238, 235, 208, 233, 212, 179, 154, 137, 149, 169, 197, 225, 220, 190, 162, 142, 130, 124)(123, 127, 135, 151, 175, 207, 222, 206, 174, 150, 134, 126, 133, 147, 171, 203, 189, 219, 232, 202, 170, 146, 132, 145, 167, 199, 188, 161, 187, 218, 229, 198, 166, 144, 165, 195, 186, 160, 141, 159, 185, 217, 226, 194, 164, 193, 184, 158, 140, 129, 139, 157, 183, 216, 223, 192, 182, 156, 138, 128)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^60 ) }
Outer automorphisms :: reflexible
Dual of E24.1931
Transitivity :: ET+
Graph:: simple bipartite
	v = 62 e = 120 f = 12
	degree seq :: [ 2^60, 60^2 ]

E24.1931 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 60})
Quotient :: loop
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^60 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 17, 137, 28, 148, 43, 163, 31, 151, 19, 139, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 22, 142, 35, 155, 50, 170, 38, 158, 24, 144, 14, 134, 6, 126)(7, 127, 15, 135, 26, 146, 41, 161, 56, 176, 45, 165, 30, 150, 18, 138, 9, 129, 16, 136)(11, 131, 20, 140, 33, 153, 48, 168, 63, 183, 52, 172, 37, 157, 23, 143, 13, 133, 21, 141)(25, 145, 39, 159, 54, 174, 69, 189, 59, 179, 44, 164, 29, 149, 42, 162, 27, 147, 40, 160)(32, 152, 46, 166, 61, 181, 75, 195, 66, 186, 51, 171, 36, 156, 49, 169, 34, 154, 47, 167)(53, 173, 67, 187, 80, 200, 72, 192, 58, 178, 71, 191, 57, 177, 70, 190, 55, 175, 68, 188)(60, 180, 73, 193, 86, 206, 78, 198, 65, 185, 77, 197, 64, 184, 76, 196, 62, 182, 74, 194)(79, 199, 91, 211, 84, 204, 95, 215, 83, 203, 94, 214, 82, 202, 93, 213, 81, 201, 92, 212)(85, 205, 96, 216, 90, 210, 100, 220, 89, 209, 99, 219, 88, 208, 98, 218, 87, 207, 97, 217)(101, 221, 111, 231, 105, 225, 115, 235, 104, 224, 114, 234, 103, 223, 113, 233, 102, 222, 112, 232)(106, 226, 116, 236, 110, 230, 120, 240, 109, 229, 119, 239, 108, 228, 118, 238, 107, 227, 117, 237)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 132)(9, 124)(10, 134)(11, 125)(12, 128)(13, 126)(14, 130)(15, 145)(16, 147)(17, 146)(18, 149)(19, 150)(20, 152)(21, 154)(22, 153)(23, 156)(24, 157)(25, 135)(26, 137)(27, 136)(28, 155)(29, 138)(30, 139)(31, 158)(32, 140)(33, 142)(34, 141)(35, 148)(36, 143)(37, 144)(38, 151)(39, 173)(40, 175)(41, 174)(42, 177)(43, 176)(44, 178)(45, 179)(46, 180)(47, 182)(48, 181)(49, 184)(50, 183)(51, 185)(52, 186)(53, 159)(54, 161)(55, 160)(56, 163)(57, 162)(58, 164)(59, 165)(60, 166)(61, 168)(62, 167)(63, 170)(64, 169)(65, 171)(66, 172)(67, 199)(68, 201)(69, 200)(70, 202)(71, 203)(72, 204)(73, 205)(74, 207)(75, 206)(76, 208)(77, 209)(78, 210)(79, 187)(80, 189)(81, 188)(82, 190)(83, 191)(84, 192)(85, 193)(86, 195)(87, 194)(88, 196)(89, 197)(90, 198)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)(111, 236)(112, 237)(113, 238)(114, 239)(115, 240)(116, 231)(117, 232)(118, 233)(119, 234)(120, 235)
	local type(s) :: { ( 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 E24.1930
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 120 f = 62
	degree seq :: [ 20^12 ]

E24.1932 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 60})
Quotient :: loop
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^2 * T2 * T1^-1 * T2 * T1, T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-1 * T1^3 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-6, T2^-3 * T1^-1 * T2^5 * T1^-1 * T2^-4, T1^-1 * T2^5 * T1^-1 * T2^53 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 25, 145, 48, 168, 79, 199, 99, 219, 107, 227, 87, 207, 67, 187, 39, 159, 20, 140, 13, 133, 28, 148, 51, 171, 73, 193, 93, 213, 113, 233, 119, 239, 108, 228, 88, 208, 68, 188, 41, 161, 30, 150, 53, 173, 62, 182, 43, 163, 72, 192, 92, 212, 112, 232, 120, 240, 109, 229, 89, 209, 70, 190, 55, 175, 61, 181, 34, 154, 21, 141, 42, 162, 71, 191, 91, 211, 111, 231, 118, 238, 106, 226, 86, 206, 66, 186, 38, 158, 18, 138, 6, 126, 17, 137, 36, 156, 64, 184, 85, 205, 105, 225, 104, 224, 84, 204, 59, 179, 33, 153, 15, 135, 5, 125)(2, 122, 7, 127, 19, 139, 40, 160, 69, 189, 90, 210, 110, 230, 95, 215, 75, 195, 45, 165, 23, 143, 9, 129, 4, 124, 12, 132, 29, 149, 54, 174, 80, 200, 100, 220, 115, 235, 96, 216, 76, 196, 46, 166, 24, 144, 11, 131, 27, 147, 52, 172, 65, 185, 58, 178, 83, 203, 103, 223, 116, 236, 97, 217, 77, 197, 47, 167, 26, 146, 50, 170, 60, 180, 37, 157, 32, 152, 57, 177, 82, 202, 102, 222, 117, 237, 98, 218, 78, 198, 49, 169, 63, 183, 35, 155, 16, 136, 14, 134, 31, 151, 56, 176, 81, 201, 101, 221, 114, 234, 94, 214, 74, 194, 44, 164, 22, 142, 8, 128)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 136)(7, 125)(8, 141)(9, 137)(10, 144)(11, 123)(12, 140)(13, 124)(14, 138)(15, 152)(16, 154)(17, 128)(18, 157)(19, 159)(20, 127)(21, 155)(22, 163)(23, 162)(24, 156)(25, 167)(26, 130)(27, 133)(28, 131)(29, 161)(30, 132)(31, 135)(32, 158)(33, 178)(34, 180)(35, 182)(36, 143)(37, 181)(38, 185)(39, 151)(40, 188)(41, 139)(42, 142)(43, 183)(44, 193)(45, 192)(46, 191)(47, 184)(48, 198)(49, 145)(50, 148)(51, 146)(52, 150)(53, 147)(54, 190)(55, 149)(56, 187)(57, 153)(58, 186)(59, 200)(60, 173)(61, 172)(62, 170)(63, 171)(64, 166)(65, 175)(66, 174)(67, 177)(68, 176)(69, 209)(70, 160)(71, 165)(72, 164)(73, 169)(74, 168)(75, 213)(76, 212)(77, 211)(78, 205)(79, 214)(80, 206)(81, 208)(82, 207)(83, 179)(84, 210)(85, 197)(86, 189)(87, 203)(88, 202)(89, 201)(90, 226)(91, 196)(92, 195)(93, 194)(94, 225)(95, 199)(96, 233)(97, 232)(98, 231)(99, 230)(100, 204)(101, 229)(102, 228)(103, 227)(104, 234)(105, 218)(106, 221)(107, 220)(108, 223)(109, 222)(110, 224)(111, 217)(112, 216)(113, 215)(114, 238)(115, 219)(116, 239)(117, 240)(118, 237)(119, 235)(120, 236)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1928
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 120 f = 72
	degree seq :: [ 120^2 ]

E24.1933 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 60})
Quotient :: loop
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-5 * T2 * T1 * T2 * T1^-6, (T2 * T1^3 * T2 * T1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 24, 144)(13, 133, 28, 148)(14, 134, 29, 149)(15, 135, 32, 152)(18, 138, 35, 155)(19, 139, 33, 153)(20, 140, 34, 154)(22, 142, 41, 161)(23, 143, 44, 164)(25, 145, 48, 168)(26, 146, 49, 169)(27, 147, 52, 172)(30, 150, 53, 173)(31, 151, 56, 176)(36, 156, 61, 181)(37, 157, 57, 177)(38, 158, 60, 180)(39, 159, 58, 178)(40, 160, 59, 179)(42, 162, 69, 189)(43, 163, 72, 192)(45, 165, 76, 196)(46, 166, 77, 197)(47, 167, 80, 200)(50, 170, 81, 201)(51, 171, 84, 204)(54, 174, 85, 205)(55, 175, 88, 208)(62, 182, 95, 215)(63, 183, 89, 209)(64, 184, 94, 214)(65, 185, 90, 210)(66, 186, 93, 213)(67, 187, 91, 211)(68, 188, 92, 212)(70, 190, 87, 207)(71, 191, 102, 222)(73, 193, 104, 224)(74, 194, 105, 225)(75, 195, 107, 227)(78, 198, 108, 228)(79, 199, 110, 230)(82, 202, 111, 231)(83, 203, 113, 233)(86, 206, 114, 234)(96, 216, 115, 235)(97, 217, 116, 236)(98, 218, 117, 237)(99, 219, 101, 221)(100, 220, 103, 223)(106, 226, 118, 238)(109, 229, 119, 239)(112, 232, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 143)(12, 145)(13, 147)(14, 126)(15, 151)(16, 148)(17, 149)(18, 128)(19, 157)(20, 129)(21, 159)(22, 130)(23, 163)(24, 165)(25, 167)(26, 132)(27, 171)(28, 168)(29, 169)(30, 134)(31, 175)(32, 172)(33, 136)(34, 137)(35, 173)(36, 138)(37, 183)(38, 140)(39, 185)(40, 141)(41, 187)(42, 142)(43, 191)(44, 193)(45, 195)(46, 144)(47, 199)(48, 196)(49, 197)(50, 146)(51, 203)(52, 200)(53, 201)(54, 150)(55, 207)(56, 204)(57, 152)(58, 153)(59, 154)(60, 155)(61, 205)(62, 156)(63, 216)(64, 158)(65, 217)(66, 160)(67, 218)(68, 161)(69, 219)(70, 162)(71, 221)(72, 182)(73, 184)(74, 164)(75, 186)(76, 224)(77, 225)(78, 166)(79, 188)(80, 227)(81, 228)(82, 170)(83, 189)(84, 230)(85, 231)(86, 174)(87, 222)(88, 233)(89, 176)(90, 177)(91, 178)(92, 179)(93, 180)(94, 181)(95, 234)(96, 223)(97, 226)(98, 229)(99, 232)(100, 190)(101, 211)(102, 206)(103, 192)(104, 215)(105, 220)(106, 194)(107, 214)(108, 238)(109, 198)(110, 213)(111, 239)(112, 202)(113, 212)(114, 240)(115, 208)(116, 209)(117, 210)(118, 235)(119, 236)(120, 237)
	local type(s) :: { ( 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E24.1929
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 14
	degree seq :: [ 4^60 ]

E24.1934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 60})
Quotient :: dipole
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^10, Y2^-3 * Y1 * Y2^-6 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 12, 132)(10, 130, 14, 134)(15, 135, 25, 145)(16, 136, 27, 147)(17, 137, 26, 146)(18, 138, 29, 149)(19, 139, 30, 150)(20, 140, 32, 152)(21, 141, 34, 154)(22, 142, 33, 153)(23, 143, 36, 156)(24, 144, 37, 157)(28, 148, 35, 155)(31, 151, 38, 158)(39, 159, 53, 173)(40, 160, 55, 175)(41, 161, 54, 174)(42, 162, 57, 177)(43, 163, 56, 176)(44, 164, 58, 178)(45, 165, 59, 179)(46, 166, 60, 180)(47, 167, 62, 182)(48, 168, 61, 181)(49, 169, 64, 184)(50, 170, 63, 183)(51, 171, 65, 185)(52, 172, 66, 186)(67, 187, 79, 199)(68, 188, 81, 201)(69, 189, 80, 200)(70, 190, 82, 202)(71, 191, 83, 203)(72, 192, 84, 204)(73, 193, 85, 205)(74, 194, 87, 207)(75, 195, 86, 206)(76, 196, 88, 208)(77, 197, 89, 209)(78, 198, 90, 210)(91, 211, 101, 221)(92, 212, 102, 222)(93, 213, 103, 223)(94, 214, 104, 224)(95, 215, 105, 225)(96, 216, 106, 226)(97, 217, 107, 227)(98, 218, 108, 228)(99, 219, 109, 229)(100, 220, 110, 230)(111, 231, 116, 236)(112, 232, 117, 237)(113, 233, 118, 238)(114, 234, 119, 239)(115, 235, 120, 240)(241, 361, 243, 363, 248, 368, 257, 377, 268, 388, 283, 403, 271, 391, 259, 379, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 262, 382, 275, 395, 290, 410, 278, 398, 264, 384, 254, 374, 246, 366)(247, 367, 255, 375, 266, 386, 281, 401, 296, 416, 285, 405, 270, 390, 258, 378, 249, 369, 256, 376)(251, 371, 260, 380, 273, 393, 288, 408, 303, 423, 292, 412, 277, 397, 263, 383, 253, 373, 261, 381)(265, 385, 279, 399, 294, 414, 309, 429, 299, 419, 284, 404, 269, 389, 282, 402, 267, 387, 280, 400)(272, 392, 286, 406, 301, 421, 315, 435, 306, 426, 291, 411, 276, 396, 289, 409, 274, 394, 287, 407)(293, 413, 307, 427, 320, 440, 312, 432, 298, 418, 311, 431, 297, 417, 310, 430, 295, 415, 308, 428)(300, 420, 313, 433, 326, 446, 318, 438, 305, 425, 317, 437, 304, 424, 316, 436, 302, 422, 314, 434)(319, 439, 331, 451, 324, 444, 335, 455, 323, 443, 334, 454, 322, 442, 333, 453, 321, 441, 332, 452)(325, 445, 336, 456, 330, 450, 340, 460, 329, 449, 339, 459, 328, 448, 338, 458, 327, 447, 337, 457)(341, 461, 351, 471, 345, 465, 355, 475, 344, 464, 354, 474, 343, 463, 353, 473, 342, 462, 352, 472)(346, 466, 356, 476, 350, 470, 360, 480, 349, 469, 359, 479, 348, 468, 358, 478, 347, 467, 357, 477)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 252)(9, 244)(10, 254)(11, 245)(12, 248)(13, 246)(14, 250)(15, 265)(16, 267)(17, 266)(18, 269)(19, 270)(20, 272)(21, 274)(22, 273)(23, 276)(24, 277)(25, 255)(26, 257)(27, 256)(28, 275)(29, 258)(30, 259)(31, 278)(32, 260)(33, 262)(34, 261)(35, 268)(36, 263)(37, 264)(38, 271)(39, 293)(40, 295)(41, 294)(42, 297)(43, 296)(44, 298)(45, 299)(46, 300)(47, 302)(48, 301)(49, 304)(50, 303)(51, 305)(52, 306)(53, 279)(54, 281)(55, 280)(56, 283)(57, 282)(58, 284)(59, 285)(60, 286)(61, 288)(62, 287)(63, 290)(64, 289)(65, 291)(66, 292)(67, 319)(68, 321)(69, 320)(70, 322)(71, 323)(72, 324)(73, 325)(74, 327)(75, 326)(76, 328)(77, 329)(78, 330)(79, 307)(80, 309)(81, 308)(82, 310)(83, 311)(84, 312)(85, 313)(86, 315)(87, 314)(88, 316)(89, 317)(90, 318)(91, 341)(92, 342)(93, 343)(94, 344)(95, 345)(96, 346)(97, 347)(98, 348)(99, 349)(100, 350)(101, 331)(102, 332)(103, 333)(104, 334)(105, 335)(106, 336)(107, 337)(108, 338)(109, 339)(110, 340)(111, 356)(112, 357)(113, 358)(114, 359)(115, 360)(116, 351)(117, 352)(118, 353)(119, 354)(120, 355)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 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 E24.1937
Graph:: bipartite
	v = 72 e = 240 f = 122
	degree seq :: [ 4^60, 20^12 ]

E24.1935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 60})
Quotient :: dipole
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, (Y2^4 * Y1^-1)^2, Y2^2 * Y1^-3 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y2^-4 * Y1)^2, Y1^10, Y2^-11 * Y1 * Y2 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 34, 154, 60, 180, 53, 173, 27, 147, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 35, 155, 62, 182, 50, 170, 28, 148, 11, 131)(5, 125, 14, 134, 18, 138, 37, 157, 61, 181, 52, 172, 30, 150, 12, 132, 20, 140, 7, 127)(10, 130, 24, 144, 36, 156, 23, 143, 42, 162, 22, 142, 43, 163, 63, 183, 51, 171, 26, 146)(15, 135, 32, 152, 38, 158, 65, 185, 55, 175, 29, 149, 41, 161, 19, 139, 39, 159, 31, 151)(25, 145, 47, 167, 64, 184, 46, 166, 71, 191, 45, 165, 72, 192, 44, 164, 73, 193, 49, 169)(33, 153, 58, 178, 66, 186, 54, 174, 70, 190, 40, 160, 68, 188, 56, 176, 67, 187, 57, 177)(48, 168, 78, 198, 85, 205, 77, 197, 91, 211, 76, 196, 92, 212, 75, 195, 93, 213, 74, 194)(59, 179, 80, 200, 86, 206, 69, 189, 89, 209, 81, 201, 88, 208, 82, 202, 87, 207, 83, 203)(79, 199, 94, 214, 105, 225, 98, 218, 111, 231, 97, 217, 112, 232, 96, 216, 113, 233, 95, 215)(84, 204, 90, 210, 106, 226, 101, 221, 109, 229, 102, 222, 108, 228, 103, 223, 107, 227, 100, 220)(99, 219, 110, 230, 104, 224, 114, 234, 118, 238, 117, 237, 120, 240, 116, 236, 119, 239, 115, 235)(241, 361, 243, 363, 250, 370, 265, 385, 288, 408, 319, 439, 339, 459, 347, 467, 327, 447, 307, 427, 279, 399, 260, 380, 253, 373, 268, 388, 291, 411, 313, 433, 333, 453, 353, 473, 359, 479, 348, 468, 328, 448, 308, 428, 281, 401, 270, 390, 293, 413, 302, 422, 283, 403, 312, 432, 332, 452, 352, 472, 360, 480, 349, 469, 329, 449, 310, 430, 295, 415, 301, 421, 274, 394, 261, 381, 282, 402, 311, 431, 331, 451, 351, 471, 358, 478, 346, 466, 326, 446, 306, 426, 278, 398, 258, 378, 246, 366, 257, 377, 276, 396, 304, 424, 325, 445, 345, 465, 344, 464, 324, 444, 299, 419, 273, 393, 255, 375, 245, 365)(242, 362, 247, 367, 259, 379, 280, 400, 309, 429, 330, 450, 350, 470, 335, 455, 315, 435, 285, 405, 263, 383, 249, 369, 244, 364, 252, 372, 269, 389, 294, 414, 320, 440, 340, 460, 355, 475, 336, 456, 316, 436, 286, 406, 264, 384, 251, 371, 267, 387, 292, 412, 305, 425, 298, 418, 323, 443, 343, 463, 356, 476, 337, 457, 317, 437, 287, 407, 266, 386, 290, 410, 300, 420, 277, 397, 272, 392, 297, 417, 322, 442, 342, 462, 357, 477, 338, 458, 318, 438, 289, 409, 303, 423, 275, 395, 256, 376, 254, 374, 271, 391, 296, 416, 321, 441, 341, 461, 354, 474, 334, 454, 314, 434, 284, 404, 262, 382, 248, 368)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 265)(11, 267)(12, 269)(13, 268)(14, 271)(15, 245)(16, 254)(17, 276)(18, 246)(19, 280)(20, 253)(21, 282)(22, 248)(23, 249)(24, 251)(25, 288)(26, 290)(27, 292)(28, 291)(29, 294)(30, 293)(31, 296)(32, 297)(33, 255)(34, 261)(35, 256)(36, 304)(37, 272)(38, 258)(39, 260)(40, 309)(41, 270)(42, 311)(43, 312)(44, 262)(45, 263)(46, 264)(47, 266)(48, 319)(49, 303)(50, 300)(51, 313)(52, 305)(53, 302)(54, 320)(55, 301)(56, 321)(57, 322)(58, 323)(59, 273)(60, 277)(61, 274)(62, 283)(63, 275)(64, 325)(65, 298)(66, 278)(67, 279)(68, 281)(69, 330)(70, 295)(71, 331)(72, 332)(73, 333)(74, 284)(75, 285)(76, 286)(77, 287)(78, 289)(79, 339)(80, 340)(81, 341)(82, 342)(83, 343)(84, 299)(85, 345)(86, 306)(87, 307)(88, 308)(89, 310)(90, 350)(91, 351)(92, 352)(93, 353)(94, 314)(95, 315)(96, 316)(97, 317)(98, 318)(99, 347)(100, 355)(101, 354)(102, 357)(103, 356)(104, 324)(105, 344)(106, 326)(107, 327)(108, 328)(109, 329)(110, 335)(111, 358)(112, 360)(113, 359)(114, 334)(115, 336)(116, 337)(117, 338)(118, 346)(119, 348)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.1936
Graph:: bipartite
	v = 14 e = 240 f = 180
	degree seq :: [ 20^12, 120^2 ]

E24.1936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 60})
Quotient :: dipole
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^5 * Y2)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, Y3^-9 * Y2 * Y3 * Y2 * Y3^-2, (Y3^3 * Y2 * Y3^-3 * Y2)^2, (Y3^-1 * Y1^-1)^60 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 257, 377)(250, 370, 261, 381)(252, 372, 265, 385)(254, 374, 269, 389)(255, 375, 263, 383)(256, 376, 267, 387)(258, 378, 275, 395)(259, 379, 264, 384)(260, 380, 268, 388)(262, 382, 281, 401)(266, 386, 287, 407)(270, 390, 293, 413)(271, 391, 285, 405)(272, 392, 291, 411)(273, 393, 283, 403)(274, 394, 289, 409)(276, 396, 301, 421)(277, 397, 286, 406)(278, 398, 292, 412)(279, 399, 284, 404)(280, 400, 290, 410)(282, 402, 309, 429)(288, 408, 317, 437)(294, 414, 325, 445)(295, 415, 315, 435)(296, 416, 323, 443)(297, 417, 313, 433)(298, 418, 321, 441)(299, 419, 311, 431)(300, 420, 319, 439)(302, 422, 326, 446)(303, 423, 316, 436)(304, 424, 324, 444)(305, 425, 314, 434)(306, 426, 322, 442)(307, 427, 312, 432)(308, 428, 320, 440)(310, 430, 318, 438)(327, 447, 347, 467)(328, 448, 353, 473)(329, 449, 345, 465)(330, 450, 352, 472)(331, 451, 343, 463)(332, 452, 351, 471)(333, 453, 341, 461)(334, 454, 350, 470)(335, 455, 349, 469)(336, 456, 348, 468)(337, 457, 346, 466)(338, 458, 344, 464)(339, 459, 342, 462)(340, 460, 354, 474)(355, 475, 358, 478)(356, 476, 359, 479)(357, 477, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 263)(12, 266)(13, 267)(14, 246)(15, 271)(16, 247)(17, 273)(18, 276)(19, 277)(20, 249)(21, 279)(22, 250)(23, 283)(24, 251)(25, 285)(26, 288)(27, 289)(28, 253)(29, 291)(30, 254)(31, 295)(32, 256)(33, 297)(34, 257)(35, 299)(36, 302)(37, 303)(38, 260)(39, 305)(40, 261)(41, 307)(42, 262)(43, 311)(44, 264)(45, 313)(46, 265)(47, 315)(48, 318)(49, 319)(50, 268)(51, 321)(52, 269)(53, 323)(54, 270)(55, 327)(56, 272)(57, 329)(58, 274)(59, 331)(60, 275)(61, 333)(62, 335)(63, 336)(64, 278)(65, 337)(66, 280)(67, 338)(68, 281)(69, 339)(70, 282)(71, 341)(72, 284)(73, 343)(74, 286)(75, 345)(76, 287)(77, 347)(78, 349)(79, 350)(80, 290)(81, 351)(82, 292)(83, 352)(84, 293)(85, 353)(86, 294)(87, 309)(88, 296)(89, 308)(90, 298)(91, 306)(92, 300)(93, 304)(94, 301)(95, 342)(96, 354)(97, 357)(98, 356)(99, 355)(100, 310)(101, 325)(102, 312)(103, 324)(104, 314)(105, 322)(106, 316)(107, 320)(108, 317)(109, 328)(110, 340)(111, 360)(112, 359)(113, 358)(114, 326)(115, 330)(116, 332)(117, 334)(118, 344)(119, 346)(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) :: { ( 20, 120 ), ( 20, 120, 20, 120 ) }
Outer automorphisms :: reflexible
Dual of E24.1935
Graph:: simple bipartite
	v = 180 e = 240 f = 14
	degree seq :: [ 2^120, 4^60 ]

E24.1937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 60})
Quotient :: dipole
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|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, (Y1^5 * Y3)^2, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3, Y1^-5 * Y3 * Y1 * Y3 * Y1^-6, (Y3 * Y1^3 * Y3 * Y1^-3)^2 ]
Map::
	R = (1, 121, 2, 122, 5, 125, 11, 131, 23, 143, 43, 163, 71, 191, 101, 221, 91, 211, 58, 178, 33, 153, 16, 136, 28, 148, 48, 168, 76, 196, 104, 224, 95, 215, 114, 234, 120, 240, 117, 237, 90, 210, 57, 177, 32, 152, 52, 172, 80, 200, 107, 227, 94, 214, 61, 181, 85, 205, 111, 231, 119, 239, 116, 236, 89, 209, 56, 176, 84, 204, 110, 230, 93, 213, 60, 180, 35, 155, 53, 173, 81, 201, 108, 228, 118, 238, 115, 235, 88, 208, 113, 233, 92, 212, 59, 179, 34, 154, 17, 137, 29, 149, 49, 169, 77, 197, 105, 225, 100, 220, 70, 190, 42, 162, 22, 142, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 31, 151, 55, 175, 87, 207, 102, 222, 86, 206, 54, 174, 30, 150, 14, 134, 6, 126, 13, 133, 27, 147, 51, 171, 83, 203, 69, 189, 99, 219, 112, 232, 82, 202, 50, 170, 26, 146, 12, 132, 25, 145, 47, 167, 79, 199, 68, 188, 41, 161, 67, 187, 98, 218, 109, 229, 78, 198, 46, 166, 24, 144, 45, 165, 75, 195, 66, 186, 40, 160, 21, 141, 39, 159, 65, 185, 97, 217, 106, 226, 74, 194, 44, 164, 73, 193, 64, 184, 38, 158, 20, 140, 9, 129, 19, 139, 37, 157, 63, 183, 96, 216, 103, 223, 72, 192, 62, 182, 36, 156, 18, 138, 8, 128)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 264)(12, 245)(13, 268)(14, 269)(15, 272)(16, 247)(17, 248)(18, 275)(19, 273)(20, 274)(21, 250)(22, 281)(23, 284)(24, 251)(25, 288)(26, 289)(27, 292)(28, 253)(29, 254)(30, 293)(31, 296)(32, 255)(33, 259)(34, 260)(35, 258)(36, 301)(37, 297)(38, 300)(39, 298)(40, 299)(41, 262)(42, 309)(43, 312)(44, 263)(45, 316)(46, 317)(47, 320)(48, 265)(49, 266)(50, 321)(51, 324)(52, 267)(53, 270)(54, 325)(55, 328)(56, 271)(57, 277)(58, 279)(59, 280)(60, 278)(61, 276)(62, 335)(63, 329)(64, 334)(65, 330)(66, 333)(67, 331)(68, 332)(69, 282)(70, 327)(71, 342)(72, 283)(73, 344)(74, 345)(75, 347)(76, 285)(77, 286)(78, 348)(79, 350)(80, 287)(81, 290)(82, 351)(83, 353)(84, 291)(85, 294)(86, 354)(87, 310)(88, 295)(89, 303)(90, 305)(91, 307)(92, 308)(93, 306)(94, 304)(95, 302)(96, 355)(97, 356)(98, 357)(99, 341)(100, 343)(101, 339)(102, 311)(103, 340)(104, 313)(105, 314)(106, 358)(107, 315)(108, 318)(109, 359)(110, 319)(111, 322)(112, 360)(113, 323)(114, 326)(115, 336)(116, 337)(117, 338)(118, 346)(119, 349)(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, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E24.1934
Graph:: simple bipartite
	v = 122 e = 240 f = 72
	degree seq :: [ 2^120, 120^2 ]

E24.1938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 60})
Quotient :: dipole
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-5 * Y1)^2, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^-8 * Y1 * Y2 * Y1 * Y2^-3, (Y2^-2 * R * Y2^-4)^2, (Y2^3 * Y1 * Y2^-3 * Y1)^2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 23, 143)(16, 136, 27, 147)(18, 138, 35, 155)(19, 139, 24, 144)(20, 140, 28, 148)(22, 142, 41, 161)(26, 146, 47, 167)(30, 150, 53, 173)(31, 151, 45, 165)(32, 152, 51, 171)(33, 153, 43, 163)(34, 154, 49, 169)(36, 156, 61, 181)(37, 157, 46, 166)(38, 158, 52, 172)(39, 159, 44, 164)(40, 160, 50, 170)(42, 162, 69, 189)(48, 168, 77, 197)(54, 174, 85, 205)(55, 175, 75, 195)(56, 176, 83, 203)(57, 177, 73, 193)(58, 178, 81, 201)(59, 179, 71, 191)(60, 180, 79, 199)(62, 182, 86, 206)(63, 183, 76, 196)(64, 184, 84, 204)(65, 185, 74, 194)(66, 186, 82, 202)(67, 187, 72, 192)(68, 188, 80, 200)(70, 190, 78, 198)(87, 207, 107, 227)(88, 208, 113, 233)(89, 209, 105, 225)(90, 210, 112, 232)(91, 211, 103, 223)(92, 212, 111, 231)(93, 213, 101, 221)(94, 214, 110, 230)(95, 215, 109, 229)(96, 216, 108, 228)(97, 217, 106, 226)(98, 218, 104, 224)(99, 219, 102, 222)(100, 220, 114, 234)(115, 235, 118, 238)(116, 236, 119, 239)(117, 237, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 276, 396, 302, 422, 335, 455, 342, 462, 312, 432, 284, 404, 264, 384, 251, 371, 263, 383, 283, 403, 311, 431, 341, 461, 325, 445, 353, 473, 358, 478, 344, 464, 314, 434, 286, 406, 265, 385, 285, 405, 313, 433, 343, 463, 324, 444, 293, 413, 323, 443, 352, 472, 359, 479, 346, 466, 316, 436, 287, 407, 315, 435, 345, 465, 322, 442, 292, 412, 269, 389, 291, 411, 321, 441, 351, 471, 360, 480, 348, 468, 317, 437, 347, 467, 320, 440, 290, 410, 268, 388, 253, 373, 267, 387, 289, 409, 319, 439, 350, 470, 340, 460, 310, 430, 282, 402, 262, 382, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 266, 386, 288, 408, 318, 438, 349, 469, 328, 448, 296, 416, 272, 392, 256, 376, 247, 367, 255, 375, 271, 391, 295, 415, 327, 447, 309, 429, 339, 459, 355, 475, 330, 450, 298, 418, 274, 394, 257, 377, 273, 393, 297, 417, 329, 449, 308, 428, 281, 401, 307, 427, 338, 458, 356, 476, 332, 452, 300, 420, 275, 395, 299, 419, 331, 451, 306, 426, 280, 400, 261, 381, 279, 399, 305, 425, 337, 457, 357, 477, 334, 454, 301, 421, 333, 453, 304, 424, 278, 398, 260, 380, 249, 369, 259, 379, 277, 397, 303, 423, 336, 456, 354, 474, 326, 446, 294, 414, 270, 390, 254, 374, 246, 366)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 265)(13, 246)(14, 269)(15, 263)(16, 267)(17, 248)(18, 275)(19, 264)(20, 268)(21, 250)(22, 281)(23, 255)(24, 259)(25, 252)(26, 287)(27, 256)(28, 260)(29, 254)(30, 293)(31, 285)(32, 291)(33, 283)(34, 289)(35, 258)(36, 301)(37, 286)(38, 292)(39, 284)(40, 290)(41, 262)(42, 309)(43, 273)(44, 279)(45, 271)(46, 277)(47, 266)(48, 317)(49, 274)(50, 280)(51, 272)(52, 278)(53, 270)(54, 325)(55, 315)(56, 323)(57, 313)(58, 321)(59, 311)(60, 319)(61, 276)(62, 326)(63, 316)(64, 324)(65, 314)(66, 322)(67, 312)(68, 320)(69, 282)(70, 318)(71, 299)(72, 307)(73, 297)(74, 305)(75, 295)(76, 303)(77, 288)(78, 310)(79, 300)(80, 308)(81, 298)(82, 306)(83, 296)(84, 304)(85, 294)(86, 302)(87, 347)(88, 353)(89, 345)(90, 352)(91, 343)(92, 351)(93, 341)(94, 350)(95, 349)(96, 348)(97, 346)(98, 344)(99, 342)(100, 354)(101, 333)(102, 339)(103, 331)(104, 338)(105, 329)(106, 337)(107, 327)(108, 336)(109, 335)(110, 334)(111, 332)(112, 330)(113, 328)(114, 340)(115, 358)(116, 359)(117, 360)(118, 355)(119, 356)(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) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E24.1939
Graph:: bipartite
	v = 62 e = 240 f = 132
	degree seq :: [ 4^60, 120^2 ]

E24.1939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 60})
Quotient :: dipole
Aut^+ = C5 x D24 (small group id <120, 23>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-3 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y1^3 * Y3^-2)^2, Y3^-1 * Y1 * Y3^-1 * Y1^7, Y3^-1 * Y1 * Y3^11 * Y1^-1, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 34, 154, 60, 180, 53, 173, 27, 147, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 35, 155, 62, 182, 50, 170, 28, 148, 11, 131)(5, 125, 14, 134, 18, 138, 37, 157, 61, 181, 52, 172, 30, 150, 12, 132, 20, 140, 7, 127)(10, 130, 24, 144, 36, 156, 23, 143, 42, 162, 22, 142, 43, 163, 63, 183, 51, 171, 26, 146)(15, 135, 32, 152, 38, 158, 65, 185, 55, 175, 29, 149, 41, 161, 19, 139, 39, 159, 31, 151)(25, 145, 47, 167, 64, 184, 46, 166, 71, 191, 45, 165, 72, 192, 44, 164, 73, 193, 49, 169)(33, 153, 58, 178, 66, 186, 54, 174, 70, 190, 40, 160, 68, 188, 56, 176, 67, 187, 57, 177)(48, 168, 78, 198, 85, 205, 77, 197, 91, 211, 76, 196, 92, 212, 75, 195, 93, 213, 74, 194)(59, 179, 80, 200, 86, 206, 69, 189, 89, 209, 81, 201, 88, 208, 82, 202, 87, 207, 83, 203)(79, 199, 94, 214, 105, 225, 98, 218, 111, 231, 97, 217, 112, 232, 96, 216, 113, 233, 95, 215)(84, 204, 90, 210, 106, 226, 101, 221, 109, 229, 102, 222, 108, 228, 103, 223, 107, 227, 100, 220)(99, 219, 110, 230, 104, 224, 114, 234, 118, 238, 117, 237, 120, 240, 116, 236, 119, 239, 115, 235)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 265)(11, 267)(12, 269)(13, 268)(14, 271)(15, 245)(16, 254)(17, 276)(18, 246)(19, 280)(20, 253)(21, 282)(22, 248)(23, 249)(24, 251)(25, 288)(26, 290)(27, 292)(28, 291)(29, 294)(30, 293)(31, 296)(32, 297)(33, 255)(34, 261)(35, 256)(36, 304)(37, 272)(38, 258)(39, 260)(40, 309)(41, 270)(42, 311)(43, 312)(44, 262)(45, 263)(46, 264)(47, 266)(48, 319)(49, 303)(50, 300)(51, 313)(52, 305)(53, 302)(54, 320)(55, 301)(56, 321)(57, 322)(58, 323)(59, 273)(60, 277)(61, 274)(62, 283)(63, 275)(64, 325)(65, 298)(66, 278)(67, 279)(68, 281)(69, 330)(70, 295)(71, 331)(72, 332)(73, 333)(74, 284)(75, 285)(76, 286)(77, 287)(78, 289)(79, 339)(80, 340)(81, 341)(82, 342)(83, 343)(84, 299)(85, 345)(86, 306)(87, 307)(88, 308)(89, 310)(90, 350)(91, 351)(92, 352)(93, 353)(94, 314)(95, 315)(96, 316)(97, 317)(98, 318)(99, 347)(100, 355)(101, 354)(102, 357)(103, 356)(104, 324)(105, 344)(106, 326)(107, 327)(108, 328)(109, 329)(110, 335)(111, 358)(112, 360)(113, 359)(114, 334)(115, 336)(116, 337)(117, 338)(118, 346)(119, 348)(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, 120 ), ( 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120 ) }
Outer automorphisms :: reflexible
Dual of E24.1938
Graph:: simple bipartite
	v = 132 e = 240 f = 62
	degree seq :: [ 2^120, 20^12 ]

E24.1940 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 14})
Quotient :: regular
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^14, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 86, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 82, 85, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 88, 105, 95, 76, 56, 40, 27)(23, 36, 24, 38, 50, 69, 87, 106, 102, 83, 62, 45, 30, 37)(41, 57, 42, 59, 77, 96, 115, 125, 107, 90, 70, 60, 43, 58)(52, 71, 53, 73, 63, 84, 103, 122, 124, 108, 89, 74, 54, 72)(78, 97, 79, 99, 81, 101, 109, 127, 136, 133, 116, 100, 80, 98)(91, 110, 92, 112, 94, 114, 126, 137, 135, 123, 104, 113, 93, 111)(117, 129, 118, 131, 120, 134, 139, 140, 138, 132, 121, 130, 119, 128)
	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, 85)(67, 87)(69, 89)(71, 91)(72, 92)(73, 93)(74, 94)(82, 102)(83, 103)(84, 104)(86, 105)(88, 107)(90, 109)(95, 115)(96, 116)(97, 117)(98, 118)(99, 119)(100, 120)(101, 121)(106, 124)(108, 126)(110, 128)(111, 129)(112, 130)(113, 131)(114, 132)(122, 135)(123, 134)(125, 136)(127, 138)(133, 139)(137, 140)
	local type(s) :: { ( 10^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1941
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 70 f = 14
	degree seq :: [ 14^10 ]

E24.1941 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 14})
Quotient :: regular
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^10, T1 * T2 * T1^-6 * T2 * T1^3, (T1 * T2)^14 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 31, 19, 10, 4)(3, 7, 15, 25, 39, 47, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 46, 34, 21, 14)(16, 26, 17, 28, 35, 49, 60, 53, 40, 27)(23, 36, 24, 38, 48, 61, 58, 45, 30, 37)(41, 54, 42, 56, 67, 74, 62, 57, 43, 55)(50, 63, 51, 65, 59, 72, 73, 66, 52, 64)(68, 79, 69, 81, 71, 83, 85, 82, 70, 80)(75, 86, 76, 88, 78, 90, 84, 89, 77, 87)(91, 101, 92, 103, 94, 105, 95, 104, 93, 102)(96, 106, 97, 108, 99, 110, 100, 109, 98, 107)(111, 121, 112, 123, 114, 125, 115, 124, 113, 122)(116, 126, 117, 128, 119, 130, 120, 129, 118, 127)(131, 137, 132, 139, 134, 140, 135, 138, 133, 136)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 46)(34, 48)(36, 50)(37, 51)(38, 52)(44, 58)(45, 59)(47, 60)(49, 62)(53, 67)(54, 68)(55, 69)(56, 70)(57, 71)(61, 73)(63, 75)(64, 76)(65, 77)(66, 78)(72, 84)(74, 85)(79, 91)(80, 92)(81, 93)(82, 94)(83, 95)(86, 96)(87, 97)(88, 98)(89, 99)(90, 100)(101, 111)(102, 112)(103, 113)(104, 114)(105, 115)(106, 116)(107, 117)(108, 118)(109, 119)(110, 120)(121, 131)(122, 132)(123, 133)(124, 134)(125, 135)(126, 136)(127, 137)(128, 138)(129, 139)(130, 140)
	local type(s) :: { ( 14^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1940
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 70 f = 10
	degree seq :: [ 10^14 ]

E24.1942 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 14})
Quotient :: edge
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2^10, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 17, 28, 43, 31, 19, 10, 4)(2, 5, 12, 22, 35, 50, 38, 24, 14, 6)(7, 15, 9, 18, 30, 45, 57, 42, 27, 16)(11, 20, 13, 23, 37, 52, 64, 49, 34, 21)(25, 39, 26, 41, 56, 71, 59, 44, 29, 40)(32, 46, 33, 48, 63, 77, 66, 51, 36, 47)(53, 67, 54, 69, 58, 72, 83, 70, 55, 68)(60, 73, 61, 75, 65, 78, 89, 76, 62, 74)(79, 91, 80, 93, 82, 95, 84, 94, 81, 92)(85, 96, 86, 98, 88, 100, 90, 99, 87, 97)(101, 111, 102, 113, 104, 115, 105, 114, 103, 112)(106, 116, 107, 118, 109, 120, 110, 119, 108, 117)(121, 131, 122, 133, 124, 135, 125, 134, 123, 132)(126, 136, 127, 138, 129, 140, 130, 139, 128, 137)(141, 142)(143, 147)(144, 149)(145, 151)(146, 153)(148, 154)(150, 152)(155, 165)(156, 166)(157, 167)(158, 169)(159, 170)(160, 172)(161, 173)(162, 174)(163, 176)(164, 177)(168, 178)(171, 175)(179, 193)(180, 194)(181, 195)(182, 196)(183, 197)(184, 198)(185, 199)(186, 200)(187, 201)(188, 202)(189, 203)(190, 204)(191, 205)(192, 206)(207, 219)(208, 220)(209, 221)(210, 222)(211, 223)(212, 224)(213, 225)(214, 226)(215, 227)(216, 228)(217, 229)(218, 230)(231, 241)(232, 242)(233, 243)(234, 244)(235, 245)(236, 246)(237, 247)(238, 248)(239, 249)(240, 250)(251, 261)(252, 262)(253, 263)(254, 264)(255, 265)(256, 266)(257, 267)(258, 268)(259, 269)(260, 270)(271, 277)(272, 276)(273, 279)(274, 278)(275, 280)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 28, 28 ), ( 28^10 ) }
Outer automorphisms :: reflexible
Dual of E24.1946
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 140 f = 10
	degree seq :: [ 2^70, 10^14 ]

E24.1943 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 14})
Quotient :: edge
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^10, T2^14 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 55, 75, 95, 80, 60, 41, 25, 13, 5)(2, 7, 17, 31, 49, 69, 89, 108, 90, 70, 50, 32, 18, 8)(4, 11, 23, 39, 59, 79, 99, 112, 94, 74, 54, 35, 20, 9)(6, 15, 29, 47, 67, 87, 106, 122, 107, 88, 68, 48, 30, 16)(12, 19, 34, 53, 73, 93, 111, 125, 115, 98, 78, 58, 38, 22)(14, 27, 45, 65, 85, 104, 120, 132, 121, 105, 86, 66, 46, 28)(24, 37, 57, 77, 97, 114, 127, 134, 124, 110, 92, 72, 52, 33)(26, 43, 63, 83, 102, 118, 130, 138, 131, 119, 103, 84, 64, 44)(40, 51, 71, 91, 109, 123, 133, 139, 135, 126, 113, 96, 76, 56)(42, 61, 81, 100, 116, 128, 136, 140, 137, 129, 117, 101, 82, 62)(141, 142, 146, 154, 166, 182, 180, 164, 152, 144)(143, 149, 159, 173, 191, 202, 183, 168, 155, 148)(145, 151, 162, 177, 196, 201, 184, 167, 156, 147)(150, 158, 169, 186, 203, 222, 211, 192, 174, 160)(153, 157, 170, 185, 204, 221, 216, 197, 178, 163)(161, 175, 193, 212, 231, 241, 223, 206, 187, 172)(165, 179, 198, 217, 236, 240, 224, 205, 188, 171)(176, 190, 207, 226, 242, 257, 249, 232, 213, 194)(181, 189, 208, 225, 243, 256, 253, 237, 218, 199)(195, 214, 233, 250, 263, 269, 258, 245, 227, 210)(200, 219, 238, 254, 266, 268, 259, 244, 228, 209)(215, 230, 246, 261, 270, 277, 273, 264, 251, 234)(220, 229, 247, 260, 271, 276, 275, 267, 255, 239)(235, 252, 265, 274, 279, 280, 278, 272, 262, 248)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4^10 ), ( 4^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1947
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 140 f = 70
	degree seq :: [ 10^14, 14^10 ]

E24.1944 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 14})
Quotient :: edge
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^14, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 85)(67, 87)(69, 89)(71, 91)(72, 92)(73, 93)(74, 94)(82, 102)(83, 103)(84, 104)(86, 105)(88, 107)(90, 109)(95, 115)(96, 116)(97, 117)(98, 118)(99, 119)(100, 120)(101, 121)(106, 124)(108, 126)(110, 128)(111, 129)(112, 130)(113, 131)(114, 132)(122, 135)(123, 134)(125, 136)(127, 138)(133, 139)(137, 140)(141, 142, 145, 151, 160, 172, 187, 205, 204, 186, 171, 159, 150, 144)(143, 147, 155, 165, 179, 195, 215, 226, 206, 189, 173, 162, 152, 148)(146, 153, 149, 158, 169, 184, 201, 222, 225, 207, 188, 174, 161, 154)(156, 166, 157, 168, 175, 191, 208, 228, 245, 235, 216, 196, 180, 167)(163, 176, 164, 178, 190, 209, 227, 246, 242, 223, 202, 185, 170, 177)(181, 197, 182, 199, 217, 236, 255, 265, 247, 230, 210, 200, 183, 198)(192, 211, 193, 213, 203, 224, 243, 262, 264, 248, 229, 214, 194, 212)(218, 237, 219, 239, 221, 241, 249, 267, 276, 273, 256, 240, 220, 238)(231, 250, 232, 252, 234, 254, 266, 277, 275, 263, 244, 253, 233, 251)(257, 269, 258, 271, 260, 274, 279, 280, 278, 272, 261, 270, 259, 268)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 20 ), ( 20^14 ) }
Outer automorphisms :: reflexible
Dual of E24.1945
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 140 f = 14
	degree seq :: [ 2^70, 14^10 ]

E24.1945 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 14})
Quotient :: loop
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2^10, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 141, 3, 143, 8, 148, 17, 157, 28, 168, 43, 183, 31, 171, 19, 159, 10, 150, 4, 144)(2, 142, 5, 145, 12, 152, 22, 162, 35, 175, 50, 190, 38, 178, 24, 164, 14, 154, 6, 146)(7, 147, 15, 155, 9, 149, 18, 158, 30, 170, 45, 185, 57, 197, 42, 182, 27, 167, 16, 156)(11, 151, 20, 160, 13, 153, 23, 163, 37, 177, 52, 192, 64, 204, 49, 189, 34, 174, 21, 161)(25, 165, 39, 179, 26, 166, 41, 181, 56, 196, 71, 211, 59, 199, 44, 184, 29, 169, 40, 180)(32, 172, 46, 186, 33, 173, 48, 188, 63, 203, 77, 217, 66, 206, 51, 191, 36, 176, 47, 187)(53, 193, 67, 207, 54, 194, 69, 209, 58, 198, 72, 212, 83, 223, 70, 210, 55, 195, 68, 208)(60, 200, 73, 213, 61, 201, 75, 215, 65, 205, 78, 218, 89, 229, 76, 216, 62, 202, 74, 214)(79, 219, 91, 231, 80, 220, 93, 233, 82, 222, 95, 235, 84, 224, 94, 234, 81, 221, 92, 232)(85, 225, 96, 236, 86, 226, 98, 238, 88, 228, 100, 240, 90, 230, 99, 239, 87, 227, 97, 237)(101, 241, 111, 251, 102, 242, 113, 253, 104, 244, 115, 255, 105, 245, 114, 254, 103, 243, 112, 252)(106, 246, 116, 256, 107, 247, 118, 258, 109, 249, 120, 260, 110, 250, 119, 259, 108, 248, 117, 257)(121, 261, 131, 271, 122, 262, 133, 273, 124, 264, 135, 275, 125, 265, 134, 274, 123, 263, 132, 272)(126, 266, 136, 276, 127, 267, 138, 278, 129, 269, 140, 280, 130, 270, 139, 279, 128, 268, 137, 277)
	L = (1, 142)(2, 141)(3, 147)(4, 149)(5, 151)(6, 153)(7, 143)(8, 154)(9, 144)(10, 152)(11, 145)(12, 150)(13, 146)(14, 148)(15, 165)(16, 166)(17, 167)(18, 169)(19, 170)(20, 172)(21, 173)(22, 174)(23, 176)(24, 177)(25, 155)(26, 156)(27, 157)(28, 178)(29, 158)(30, 159)(31, 175)(32, 160)(33, 161)(34, 162)(35, 171)(36, 163)(37, 164)(38, 168)(39, 193)(40, 194)(41, 195)(42, 196)(43, 197)(44, 198)(45, 199)(46, 200)(47, 201)(48, 202)(49, 203)(50, 204)(51, 205)(52, 206)(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, 219)(68, 220)(69, 221)(70, 222)(71, 223)(72, 224)(73, 225)(74, 226)(75, 227)(76, 228)(77, 229)(78, 230)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)(131, 277)(132, 276)(133, 279)(134, 278)(135, 280)(136, 272)(137, 271)(138, 274)(139, 273)(140, 275)
	local type(s) :: { ( 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 E24.1944
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 140 f = 80
	degree seq :: [ 20^14 ]

E24.1946 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 14})
Quotient :: loop
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^10, T2^14 ]
Map::
	R = (1, 141, 3, 143, 10, 150, 21, 161, 36, 176, 55, 195, 75, 215, 95, 235, 80, 220, 60, 200, 41, 181, 25, 165, 13, 153, 5, 145)(2, 142, 7, 147, 17, 157, 31, 171, 49, 189, 69, 209, 89, 229, 108, 248, 90, 230, 70, 210, 50, 190, 32, 172, 18, 158, 8, 148)(4, 144, 11, 151, 23, 163, 39, 179, 59, 199, 79, 219, 99, 239, 112, 252, 94, 234, 74, 214, 54, 194, 35, 175, 20, 160, 9, 149)(6, 146, 15, 155, 29, 169, 47, 187, 67, 207, 87, 227, 106, 246, 122, 262, 107, 247, 88, 228, 68, 208, 48, 188, 30, 170, 16, 156)(12, 152, 19, 159, 34, 174, 53, 193, 73, 213, 93, 233, 111, 251, 125, 265, 115, 255, 98, 238, 78, 218, 58, 198, 38, 178, 22, 162)(14, 154, 27, 167, 45, 185, 65, 205, 85, 225, 104, 244, 120, 260, 132, 272, 121, 261, 105, 245, 86, 226, 66, 206, 46, 186, 28, 168)(24, 164, 37, 177, 57, 197, 77, 217, 97, 237, 114, 254, 127, 267, 134, 274, 124, 264, 110, 250, 92, 232, 72, 212, 52, 192, 33, 173)(26, 166, 43, 183, 63, 203, 83, 223, 102, 242, 118, 258, 130, 270, 138, 278, 131, 271, 119, 259, 103, 243, 84, 224, 64, 204, 44, 184)(40, 180, 51, 191, 71, 211, 91, 231, 109, 249, 123, 263, 133, 273, 139, 279, 135, 275, 126, 266, 113, 253, 96, 236, 76, 216, 56, 196)(42, 182, 61, 201, 81, 221, 100, 240, 116, 256, 128, 268, 136, 276, 140, 280, 137, 277, 129, 269, 117, 257, 101, 241, 82, 222, 62, 202)
	L = (1, 142)(2, 146)(3, 149)(4, 141)(5, 151)(6, 154)(7, 145)(8, 143)(9, 159)(10, 158)(11, 162)(12, 144)(13, 157)(14, 166)(15, 148)(16, 147)(17, 170)(18, 169)(19, 173)(20, 150)(21, 175)(22, 177)(23, 153)(24, 152)(25, 179)(26, 182)(27, 156)(28, 155)(29, 186)(30, 185)(31, 165)(32, 161)(33, 191)(34, 160)(35, 193)(36, 190)(37, 196)(38, 163)(39, 198)(40, 164)(41, 189)(42, 180)(43, 168)(44, 167)(45, 204)(46, 203)(47, 172)(48, 171)(49, 208)(50, 207)(51, 202)(52, 174)(53, 212)(54, 176)(55, 214)(56, 201)(57, 178)(58, 217)(59, 181)(60, 219)(61, 184)(62, 183)(63, 222)(64, 221)(65, 188)(66, 187)(67, 226)(68, 225)(69, 200)(70, 195)(71, 192)(72, 231)(73, 194)(74, 233)(75, 230)(76, 197)(77, 236)(78, 199)(79, 238)(80, 229)(81, 216)(82, 211)(83, 206)(84, 205)(85, 243)(86, 242)(87, 210)(88, 209)(89, 247)(90, 246)(91, 241)(92, 213)(93, 250)(94, 215)(95, 252)(96, 240)(97, 218)(98, 254)(99, 220)(100, 224)(101, 223)(102, 257)(103, 256)(104, 228)(105, 227)(106, 261)(107, 260)(108, 235)(109, 232)(110, 263)(111, 234)(112, 265)(113, 237)(114, 266)(115, 239)(116, 253)(117, 249)(118, 245)(119, 244)(120, 271)(121, 270)(122, 248)(123, 269)(124, 251)(125, 274)(126, 268)(127, 255)(128, 259)(129, 258)(130, 277)(131, 276)(132, 262)(133, 264)(134, 279)(135, 267)(136, 275)(137, 273)(138, 272)(139, 280)(140, 278)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E24.1942
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 140 f = 84
	degree seq :: [ 28^10 ]

E24.1947 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 14})
Quotient :: loop
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^14, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 141, 3, 143)(2, 142, 6, 146)(4, 144, 9, 149)(5, 145, 12, 152)(7, 147, 16, 156)(8, 148, 17, 157)(10, 150, 15, 155)(11, 151, 21, 161)(13, 153, 23, 163)(14, 154, 24, 164)(18, 158, 30, 170)(19, 159, 29, 169)(20, 160, 33, 173)(22, 162, 35, 175)(25, 165, 40, 180)(26, 166, 41, 181)(27, 167, 42, 182)(28, 168, 43, 183)(31, 171, 39, 179)(32, 172, 48, 188)(34, 174, 50, 190)(36, 176, 52, 192)(37, 177, 53, 193)(38, 178, 54, 194)(44, 184, 62, 202)(45, 185, 63, 203)(46, 186, 61, 201)(47, 187, 66, 206)(49, 189, 68, 208)(51, 191, 70, 210)(55, 195, 76, 216)(56, 196, 77, 217)(57, 197, 78, 218)(58, 198, 79, 219)(59, 199, 80, 220)(60, 200, 81, 221)(64, 204, 75, 215)(65, 205, 85, 225)(67, 207, 87, 227)(69, 209, 89, 229)(71, 211, 91, 231)(72, 212, 92, 232)(73, 213, 93, 233)(74, 214, 94, 234)(82, 222, 102, 242)(83, 223, 103, 243)(84, 224, 104, 244)(86, 226, 105, 245)(88, 228, 107, 247)(90, 230, 109, 249)(95, 235, 115, 255)(96, 236, 116, 256)(97, 237, 117, 257)(98, 238, 118, 258)(99, 239, 119, 259)(100, 240, 120, 260)(101, 241, 121, 261)(106, 246, 124, 264)(108, 248, 126, 266)(110, 250, 128, 268)(111, 251, 129, 269)(112, 252, 130, 270)(113, 253, 131, 271)(114, 254, 132, 272)(122, 262, 135, 275)(123, 263, 134, 274)(125, 265, 136, 276)(127, 267, 138, 278)(133, 273, 139, 279)(137, 277, 140, 280)
	L = (1, 142)(2, 145)(3, 147)(4, 141)(5, 151)(6, 153)(7, 155)(8, 143)(9, 158)(10, 144)(11, 160)(12, 148)(13, 149)(14, 146)(15, 165)(16, 166)(17, 168)(18, 169)(19, 150)(20, 172)(21, 154)(22, 152)(23, 176)(24, 178)(25, 179)(26, 157)(27, 156)(28, 175)(29, 184)(30, 177)(31, 159)(32, 187)(33, 162)(34, 161)(35, 191)(36, 164)(37, 163)(38, 190)(39, 195)(40, 167)(41, 197)(42, 199)(43, 198)(44, 201)(45, 170)(46, 171)(47, 205)(48, 174)(49, 173)(50, 209)(51, 208)(52, 211)(53, 213)(54, 212)(55, 215)(56, 180)(57, 182)(58, 181)(59, 217)(60, 183)(61, 222)(62, 185)(63, 224)(64, 186)(65, 204)(66, 189)(67, 188)(68, 228)(69, 227)(70, 200)(71, 193)(72, 192)(73, 203)(74, 194)(75, 226)(76, 196)(77, 236)(78, 237)(79, 239)(80, 238)(81, 241)(82, 225)(83, 202)(84, 243)(85, 207)(86, 206)(87, 246)(88, 245)(89, 214)(90, 210)(91, 250)(92, 252)(93, 251)(94, 254)(95, 216)(96, 255)(97, 219)(98, 218)(99, 221)(100, 220)(101, 249)(102, 223)(103, 262)(104, 253)(105, 235)(106, 242)(107, 230)(108, 229)(109, 267)(110, 232)(111, 231)(112, 234)(113, 233)(114, 266)(115, 265)(116, 240)(117, 269)(118, 271)(119, 268)(120, 274)(121, 270)(122, 264)(123, 244)(124, 248)(125, 247)(126, 277)(127, 276)(128, 257)(129, 258)(130, 259)(131, 260)(132, 261)(133, 256)(134, 279)(135, 263)(136, 273)(137, 275)(138, 272)(139, 280)(140, 278)
	local type(s) :: { ( 10, 14, 10, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.1943
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 70 e = 140 f = 24
	degree seq :: [ 4^70 ]

E24.1948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 14})
Quotient :: dipole
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^10, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 141, 2, 142)(3, 143, 7, 147)(4, 144, 9, 149)(5, 145, 11, 151)(6, 146, 13, 153)(8, 148, 14, 154)(10, 150, 12, 152)(15, 155, 25, 165)(16, 156, 26, 166)(17, 157, 27, 167)(18, 158, 29, 169)(19, 159, 30, 170)(20, 160, 32, 172)(21, 161, 33, 173)(22, 162, 34, 174)(23, 163, 36, 176)(24, 164, 37, 177)(28, 168, 38, 178)(31, 171, 35, 175)(39, 179, 53, 193)(40, 180, 54, 194)(41, 181, 55, 195)(42, 182, 56, 196)(43, 183, 57, 197)(44, 184, 58, 198)(45, 185, 59, 199)(46, 186, 60, 200)(47, 187, 61, 201)(48, 188, 62, 202)(49, 189, 63, 203)(50, 190, 64, 204)(51, 191, 65, 205)(52, 192, 66, 206)(67, 207, 79, 219)(68, 208, 80, 220)(69, 209, 81, 221)(70, 210, 82, 222)(71, 211, 83, 223)(72, 212, 84, 224)(73, 213, 85, 225)(74, 214, 86, 226)(75, 215, 87, 227)(76, 216, 88, 228)(77, 217, 89, 229)(78, 218, 90, 230)(91, 231, 101, 241)(92, 232, 102, 242)(93, 233, 103, 243)(94, 234, 104, 244)(95, 235, 105, 245)(96, 236, 106, 246)(97, 237, 107, 247)(98, 238, 108, 248)(99, 239, 109, 249)(100, 240, 110, 250)(111, 251, 121, 261)(112, 252, 122, 262)(113, 253, 123, 263)(114, 254, 124, 264)(115, 255, 125, 265)(116, 256, 126, 266)(117, 257, 127, 267)(118, 258, 128, 268)(119, 259, 129, 269)(120, 260, 130, 270)(131, 271, 137, 277)(132, 272, 136, 276)(133, 273, 139, 279)(134, 274, 138, 278)(135, 275, 140, 280)(281, 421, 283, 423, 288, 428, 297, 437, 308, 448, 323, 463, 311, 451, 299, 439, 290, 430, 284, 424)(282, 422, 285, 425, 292, 432, 302, 442, 315, 455, 330, 470, 318, 458, 304, 444, 294, 434, 286, 426)(287, 427, 295, 435, 289, 429, 298, 438, 310, 450, 325, 465, 337, 477, 322, 462, 307, 447, 296, 436)(291, 431, 300, 440, 293, 433, 303, 443, 317, 457, 332, 472, 344, 484, 329, 469, 314, 454, 301, 441)(305, 445, 319, 459, 306, 446, 321, 461, 336, 476, 351, 491, 339, 479, 324, 464, 309, 449, 320, 460)(312, 452, 326, 466, 313, 453, 328, 468, 343, 483, 357, 497, 346, 486, 331, 471, 316, 456, 327, 467)(333, 473, 347, 487, 334, 474, 349, 489, 338, 478, 352, 492, 363, 503, 350, 490, 335, 475, 348, 488)(340, 480, 353, 493, 341, 481, 355, 495, 345, 485, 358, 498, 369, 509, 356, 496, 342, 482, 354, 494)(359, 499, 371, 511, 360, 500, 373, 513, 362, 502, 375, 515, 364, 504, 374, 514, 361, 501, 372, 512)(365, 505, 376, 516, 366, 506, 378, 518, 368, 508, 380, 520, 370, 510, 379, 519, 367, 507, 377, 517)(381, 521, 391, 531, 382, 522, 393, 533, 384, 524, 395, 535, 385, 525, 394, 534, 383, 523, 392, 532)(386, 526, 396, 536, 387, 527, 398, 538, 389, 529, 400, 540, 390, 530, 399, 539, 388, 528, 397, 537)(401, 541, 411, 551, 402, 542, 413, 553, 404, 544, 415, 555, 405, 545, 414, 554, 403, 543, 412, 552)(406, 546, 416, 556, 407, 547, 418, 558, 409, 549, 420, 560, 410, 550, 419, 559, 408, 548, 417, 557)
	L = (1, 282)(2, 281)(3, 287)(4, 289)(5, 291)(6, 293)(7, 283)(8, 294)(9, 284)(10, 292)(11, 285)(12, 290)(13, 286)(14, 288)(15, 305)(16, 306)(17, 307)(18, 309)(19, 310)(20, 312)(21, 313)(22, 314)(23, 316)(24, 317)(25, 295)(26, 296)(27, 297)(28, 318)(29, 298)(30, 299)(31, 315)(32, 300)(33, 301)(34, 302)(35, 311)(36, 303)(37, 304)(38, 308)(39, 333)(40, 334)(41, 335)(42, 336)(43, 337)(44, 338)(45, 339)(46, 340)(47, 341)(48, 342)(49, 343)(50, 344)(51, 345)(52, 346)(53, 319)(54, 320)(55, 321)(56, 322)(57, 323)(58, 324)(59, 325)(60, 326)(61, 327)(62, 328)(63, 329)(64, 330)(65, 331)(66, 332)(67, 359)(68, 360)(69, 361)(70, 362)(71, 363)(72, 364)(73, 365)(74, 366)(75, 367)(76, 368)(77, 369)(78, 370)(79, 347)(80, 348)(81, 349)(82, 350)(83, 351)(84, 352)(85, 353)(86, 354)(87, 355)(88, 356)(89, 357)(90, 358)(91, 381)(92, 382)(93, 383)(94, 384)(95, 385)(96, 386)(97, 387)(98, 388)(99, 389)(100, 390)(101, 371)(102, 372)(103, 373)(104, 374)(105, 375)(106, 376)(107, 377)(108, 378)(109, 379)(110, 380)(111, 401)(112, 402)(113, 403)(114, 404)(115, 405)(116, 406)(117, 407)(118, 408)(119, 409)(120, 410)(121, 391)(122, 392)(123, 393)(124, 394)(125, 395)(126, 396)(127, 397)(128, 398)(129, 399)(130, 400)(131, 417)(132, 416)(133, 419)(134, 418)(135, 420)(136, 412)(137, 411)(138, 414)(139, 413)(140, 415)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1951
Graph:: bipartite
	v = 84 e = 280 f = 150
	degree seq :: [ 4^70, 20^14 ]

E24.1949 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 14})
Quotient :: dipole
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^10, Y2^14 ]
Map::
	R = (1, 141, 2, 142, 6, 146, 14, 154, 26, 166, 42, 182, 40, 180, 24, 164, 12, 152, 4, 144)(3, 143, 9, 149, 19, 159, 33, 173, 51, 191, 62, 202, 43, 183, 28, 168, 15, 155, 8, 148)(5, 145, 11, 151, 22, 162, 37, 177, 56, 196, 61, 201, 44, 184, 27, 167, 16, 156, 7, 147)(10, 150, 18, 158, 29, 169, 46, 186, 63, 203, 82, 222, 71, 211, 52, 192, 34, 174, 20, 160)(13, 153, 17, 157, 30, 170, 45, 185, 64, 204, 81, 221, 76, 216, 57, 197, 38, 178, 23, 163)(21, 161, 35, 175, 53, 193, 72, 212, 91, 231, 101, 241, 83, 223, 66, 206, 47, 187, 32, 172)(25, 165, 39, 179, 58, 198, 77, 217, 96, 236, 100, 240, 84, 224, 65, 205, 48, 188, 31, 171)(36, 176, 50, 190, 67, 207, 86, 226, 102, 242, 117, 257, 109, 249, 92, 232, 73, 213, 54, 194)(41, 181, 49, 189, 68, 208, 85, 225, 103, 243, 116, 256, 113, 253, 97, 237, 78, 218, 59, 199)(55, 195, 74, 214, 93, 233, 110, 250, 123, 263, 129, 269, 118, 258, 105, 245, 87, 227, 70, 210)(60, 200, 79, 219, 98, 238, 114, 254, 126, 266, 128, 268, 119, 259, 104, 244, 88, 228, 69, 209)(75, 215, 90, 230, 106, 246, 121, 261, 130, 270, 137, 277, 133, 273, 124, 264, 111, 251, 94, 234)(80, 220, 89, 229, 107, 247, 120, 260, 131, 271, 136, 276, 135, 275, 127, 267, 115, 255, 99, 239)(95, 235, 112, 252, 125, 265, 134, 274, 139, 279, 140, 280, 138, 278, 132, 272, 122, 262, 108, 248)(281, 421, 283, 423, 290, 430, 301, 441, 316, 456, 335, 475, 355, 495, 375, 515, 360, 500, 340, 480, 321, 461, 305, 445, 293, 433, 285, 425)(282, 422, 287, 427, 297, 437, 311, 451, 329, 469, 349, 489, 369, 509, 388, 528, 370, 510, 350, 490, 330, 470, 312, 452, 298, 438, 288, 428)(284, 424, 291, 431, 303, 443, 319, 459, 339, 479, 359, 499, 379, 519, 392, 532, 374, 514, 354, 494, 334, 474, 315, 455, 300, 440, 289, 429)(286, 426, 295, 435, 309, 449, 327, 467, 347, 487, 367, 507, 386, 526, 402, 542, 387, 527, 368, 508, 348, 488, 328, 468, 310, 450, 296, 436)(292, 432, 299, 439, 314, 454, 333, 473, 353, 493, 373, 513, 391, 531, 405, 545, 395, 535, 378, 518, 358, 498, 338, 478, 318, 458, 302, 442)(294, 434, 307, 447, 325, 465, 345, 485, 365, 505, 384, 524, 400, 540, 412, 552, 401, 541, 385, 525, 366, 506, 346, 486, 326, 466, 308, 448)(304, 444, 317, 457, 337, 477, 357, 497, 377, 517, 394, 534, 407, 547, 414, 554, 404, 544, 390, 530, 372, 512, 352, 492, 332, 472, 313, 453)(306, 446, 323, 463, 343, 483, 363, 503, 382, 522, 398, 538, 410, 550, 418, 558, 411, 551, 399, 539, 383, 523, 364, 504, 344, 484, 324, 464)(320, 460, 331, 471, 351, 491, 371, 511, 389, 529, 403, 543, 413, 553, 419, 559, 415, 555, 406, 546, 393, 533, 376, 516, 356, 496, 336, 476)(322, 462, 341, 481, 361, 501, 380, 520, 396, 536, 408, 548, 416, 556, 420, 560, 417, 557, 409, 549, 397, 537, 381, 521, 362, 502, 342, 482)
	L = (1, 283)(2, 287)(3, 290)(4, 291)(5, 281)(6, 295)(7, 297)(8, 282)(9, 284)(10, 301)(11, 303)(12, 299)(13, 285)(14, 307)(15, 309)(16, 286)(17, 311)(18, 288)(19, 314)(20, 289)(21, 316)(22, 292)(23, 319)(24, 317)(25, 293)(26, 323)(27, 325)(28, 294)(29, 327)(30, 296)(31, 329)(32, 298)(33, 304)(34, 333)(35, 300)(36, 335)(37, 337)(38, 302)(39, 339)(40, 331)(41, 305)(42, 341)(43, 343)(44, 306)(45, 345)(46, 308)(47, 347)(48, 310)(49, 349)(50, 312)(51, 351)(52, 313)(53, 353)(54, 315)(55, 355)(56, 320)(57, 357)(58, 318)(59, 359)(60, 321)(61, 361)(62, 322)(63, 363)(64, 324)(65, 365)(66, 326)(67, 367)(68, 328)(69, 369)(70, 330)(71, 371)(72, 332)(73, 373)(74, 334)(75, 375)(76, 336)(77, 377)(78, 338)(79, 379)(80, 340)(81, 380)(82, 342)(83, 382)(84, 344)(85, 384)(86, 346)(87, 386)(88, 348)(89, 388)(90, 350)(91, 389)(92, 352)(93, 391)(94, 354)(95, 360)(96, 356)(97, 394)(98, 358)(99, 392)(100, 396)(101, 362)(102, 398)(103, 364)(104, 400)(105, 366)(106, 402)(107, 368)(108, 370)(109, 403)(110, 372)(111, 405)(112, 374)(113, 376)(114, 407)(115, 378)(116, 408)(117, 381)(118, 410)(119, 383)(120, 412)(121, 385)(122, 387)(123, 413)(124, 390)(125, 395)(126, 393)(127, 414)(128, 416)(129, 397)(130, 418)(131, 399)(132, 401)(133, 419)(134, 404)(135, 406)(136, 420)(137, 409)(138, 411)(139, 415)(140, 417)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 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 E24.1950
Graph:: bipartite
	v = 24 e = 280 f = 210
	degree seq :: [ 20^14, 28^10 ]

E24.1950 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 14})
Quotient :: dipole
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^10, (Y3^-1 * Y1^-1)^14 ]
Map:: polytopal
	R = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)(281, 421, 282, 422)(283, 423, 287, 427)(284, 424, 289, 429)(285, 425, 291, 431)(286, 426, 293, 433)(288, 428, 294, 434)(290, 430, 292, 432)(295, 435, 305, 445)(296, 436, 306, 446)(297, 437, 307, 447)(298, 438, 309, 449)(299, 439, 310, 450)(300, 440, 312, 452)(301, 441, 313, 453)(302, 442, 314, 454)(303, 443, 316, 456)(304, 444, 317, 457)(308, 448, 318, 458)(311, 451, 315, 455)(319, 459, 335, 475)(320, 460, 336, 476)(321, 461, 337, 477)(322, 462, 338, 478)(323, 463, 339, 479)(324, 464, 341, 481)(325, 465, 342, 482)(326, 466, 343, 483)(327, 467, 345, 485)(328, 468, 346, 486)(329, 469, 347, 487)(330, 470, 348, 488)(331, 471, 349, 489)(332, 472, 351, 491)(333, 473, 352, 492)(334, 474, 353, 493)(340, 480, 354, 494)(344, 484, 350, 490)(355, 495, 375, 515)(356, 496, 376, 516)(357, 497, 377, 517)(358, 498, 378, 518)(359, 499, 379, 519)(360, 500, 380, 520)(361, 501, 381, 521)(362, 502, 382, 522)(363, 503, 383, 523)(364, 504, 384, 524)(365, 505, 385, 525)(366, 506, 386, 526)(367, 507, 387, 527)(368, 508, 388, 528)(369, 509, 389, 529)(370, 510, 390, 530)(371, 511, 391, 531)(372, 512, 392, 532)(373, 513, 393, 533)(374, 514, 394, 534)(395, 535, 405, 545)(396, 536, 404, 544)(397, 537, 407, 547)(398, 538, 406, 546)(399, 539, 411, 551)(400, 540, 413, 553)(401, 541, 414, 554)(402, 542, 408, 548)(403, 543, 415, 555)(409, 549, 416, 556)(410, 550, 417, 557)(412, 552, 418, 558)(419, 559, 420, 560)
	L = (1, 283)(2, 285)(3, 288)(4, 281)(5, 292)(6, 282)(7, 295)(8, 297)(9, 298)(10, 284)(11, 300)(12, 302)(13, 303)(14, 286)(15, 289)(16, 287)(17, 308)(18, 310)(19, 290)(20, 293)(21, 291)(22, 315)(23, 317)(24, 294)(25, 319)(26, 321)(27, 296)(28, 323)(29, 320)(30, 325)(31, 299)(32, 327)(33, 329)(34, 301)(35, 331)(36, 328)(37, 333)(38, 304)(39, 306)(40, 305)(41, 338)(42, 307)(43, 340)(44, 309)(45, 343)(46, 311)(47, 313)(48, 312)(49, 348)(50, 314)(51, 350)(52, 316)(53, 353)(54, 318)(55, 355)(56, 357)(57, 356)(58, 359)(59, 322)(60, 361)(61, 362)(62, 324)(63, 364)(64, 326)(65, 365)(66, 367)(67, 366)(68, 369)(69, 330)(70, 371)(71, 372)(72, 332)(73, 374)(74, 334)(75, 336)(76, 335)(77, 341)(78, 337)(79, 380)(80, 339)(81, 344)(82, 383)(83, 342)(84, 381)(85, 346)(86, 345)(87, 351)(88, 347)(89, 390)(90, 349)(91, 354)(92, 393)(93, 352)(94, 391)(95, 395)(96, 397)(97, 396)(98, 399)(99, 358)(100, 401)(101, 360)(102, 398)(103, 403)(104, 363)(105, 404)(106, 406)(107, 405)(108, 408)(109, 368)(110, 410)(111, 370)(112, 407)(113, 412)(114, 373)(115, 376)(116, 375)(117, 378)(118, 377)(119, 413)(120, 379)(121, 384)(122, 382)(123, 414)(124, 386)(125, 385)(126, 388)(127, 387)(128, 416)(129, 389)(130, 394)(131, 392)(132, 417)(133, 419)(134, 400)(135, 402)(136, 420)(137, 409)(138, 411)(139, 415)(140, 418)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 20, 28 ), ( 20, 28, 20, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1949
Graph:: simple bipartite
	v = 210 e = 280 f = 24
	degree seq :: [ 2^140, 4^70 ]

E24.1951 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 14})
Quotient :: dipole
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, Y1^14, (Y3^-1 * Y1)^10 ]
Map:: polytopal
	R = (1, 141, 2, 142, 5, 145, 11, 151, 20, 160, 32, 172, 47, 187, 65, 205, 64, 204, 46, 186, 31, 171, 19, 159, 10, 150, 4, 144)(3, 143, 7, 147, 15, 155, 25, 165, 39, 179, 55, 195, 75, 215, 86, 226, 66, 206, 49, 189, 33, 173, 22, 162, 12, 152, 8, 148)(6, 146, 13, 153, 9, 149, 18, 158, 29, 169, 44, 184, 61, 201, 82, 222, 85, 225, 67, 207, 48, 188, 34, 174, 21, 161, 14, 154)(16, 156, 26, 166, 17, 157, 28, 168, 35, 175, 51, 191, 68, 208, 88, 228, 105, 245, 95, 235, 76, 216, 56, 196, 40, 180, 27, 167)(23, 163, 36, 176, 24, 164, 38, 178, 50, 190, 69, 209, 87, 227, 106, 246, 102, 242, 83, 223, 62, 202, 45, 185, 30, 170, 37, 177)(41, 181, 57, 197, 42, 182, 59, 199, 77, 217, 96, 236, 115, 255, 125, 265, 107, 247, 90, 230, 70, 210, 60, 200, 43, 183, 58, 198)(52, 192, 71, 211, 53, 193, 73, 213, 63, 203, 84, 224, 103, 243, 122, 262, 124, 264, 108, 248, 89, 229, 74, 214, 54, 194, 72, 212)(78, 218, 97, 237, 79, 219, 99, 239, 81, 221, 101, 241, 109, 249, 127, 267, 136, 276, 133, 273, 116, 256, 100, 240, 80, 220, 98, 238)(91, 231, 110, 250, 92, 232, 112, 252, 94, 234, 114, 254, 126, 266, 137, 277, 135, 275, 123, 263, 104, 244, 113, 253, 93, 233, 111, 251)(117, 257, 129, 269, 118, 258, 131, 271, 120, 260, 134, 274, 139, 279, 140, 280, 138, 278, 132, 272, 121, 261, 130, 270, 119, 259, 128, 268)(281, 421)(282, 422)(283, 423)(284, 424)(285, 425)(286, 426)(287, 427)(288, 428)(289, 429)(290, 430)(291, 431)(292, 432)(293, 433)(294, 434)(295, 435)(296, 436)(297, 437)(298, 438)(299, 439)(300, 440)(301, 441)(302, 442)(303, 443)(304, 444)(305, 445)(306, 446)(307, 447)(308, 448)(309, 449)(310, 450)(311, 451)(312, 452)(313, 453)(314, 454)(315, 455)(316, 456)(317, 457)(318, 458)(319, 459)(320, 460)(321, 461)(322, 462)(323, 463)(324, 464)(325, 465)(326, 466)(327, 467)(328, 468)(329, 469)(330, 470)(331, 471)(332, 472)(333, 473)(334, 474)(335, 475)(336, 476)(337, 477)(338, 478)(339, 479)(340, 480)(341, 481)(342, 482)(343, 483)(344, 484)(345, 485)(346, 486)(347, 487)(348, 488)(349, 489)(350, 490)(351, 491)(352, 492)(353, 493)(354, 494)(355, 495)(356, 496)(357, 497)(358, 498)(359, 499)(360, 500)(361, 501)(362, 502)(363, 503)(364, 504)(365, 505)(366, 506)(367, 507)(368, 508)(369, 509)(370, 510)(371, 511)(372, 512)(373, 513)(374, 514)(375, 515)(376, 516)(377, 517)(378, 518)(379, 519)(380, 520)(381, 521)(382, 522)(383, 523)(384, 524)(385, 525)(386, 526)(387, 527)(388, 528)(389, 529)(390, 530)(391, 531)(392, 532)(393, 533)(394, 534)(395, 535)(396, 536)(397, 537)(398, 538)(399, 539)(400, 540)(401, 541)(402, 542)(403, 543)(404, 544)(405, 545)(406, 546)(407, 547)(408, 548)(409, 549)(410, 550)(411, 551)(412, 552)(413, 553)(414, 554)(415, 555)(416, 556)(417, 557)(418, 558)(419, 559)(420, 560)
	L = (1, 283)(2, 286)(3, 281)(4, 289)(5, 292)(6, 282)(7, 296)(8, 297)(9, 284)(10, 295)(11, 301)(12, 285)(13, 303)(14, 304)(15, 290)(16, 287)(17, 288)(18, 310)(19, 309)(20, 313)(21, 291)(22, 315)(23, 293)(24, 294)(25, 320)(26, 321)(27, 322)(28, 323)(29, 299)(30, 298)(31, 319)(32, 328)(33, 300)(34, 330)(35, 302)(36, 332)(37, 333)(38, 334)(39, 311)(40, 305)(41, 306)(42, 307)(43, 308)(44, 342)(45, 343)(46, 341)(47, 346)(48, 312)(49, 348)(50, 314)(51, 350)(52, 316)(53, 317)(54, 318)(55, 356)(56, 357)(57, 358)(58, 359)(59, 360)(60, 361)(61, 326)(62, 324)(63, 325)(64, 355)(65, 365)(66, 327)(67, 367)(68, 329)(69, 369)(70, 331)(71, 371)(72, 372)(73, 373)(74, 374)(75, 344)(76, 335)(77, 336)(78, 337)(79, 338)(80, 339)(81, 340)(82, 382)(83, 383)(84, 384)(85, 345)(86, 385)(87, 347)(88, 387)(89, 349)(90, 389)(91, 351)(92, 352)(93, 353)(94, 354)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 362)(103, 363)(104, 364)(105, 366)(106, 404)(107, 368)(108, 406)(109, 370)(110, 408)(111, 409)(112, 410)(113, 411)(114, 412)(115, 375)(116, 376)(117, 377)(118, 378)(119, 379)(120, 380)(121, 381)(122, 415)(123, 414)(124, 386)(125, 416)(126, 388)(127, 418)(128, 390)(129, 391)(130, 392)(131, 393)(132, 394)(133, 419)(134, 403)(135, 402)(136, 405)(137, 420)(138, 407)(139, 413)(140, 417)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 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 E24.1948
Graph:: simple bipartite
	v = 150 e = 280 f = 84
	degree seq :: [ 2^140, 28^10 ]

E24.1952 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 14})
Quotient :: dipole
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^14, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 141, 2, 142)(3, 143, 7, 147)(4, 144, 9, 149)(5, 145, 11, 151)(6, 146, 13, 153)(8, 148, 14, 154)(10, 150, 12, 152)(15, 155, 25, 165)(16, 156, 26, 166)(17, 157, 27, 167)(18, 158, 29, 169)(19, 159, 30, 170)(20, 160, 32, 172)(21, 161, 33, 173)(22, 162, 34, 174)(23, 163, 36, 176)(24, 164, 37, 177)(28, 168, 38, 178)(31, 171, 35, 175)(39, 179, 55, 195)(40, 180, 56, 196)(41, 181, 57, 197)(42, 182, 58, 198)(43, 183, 59, 199)(44, 184, 61, 201)(45, 185, 62, 202)(46, 186, 63, 203)(47, 187, 65, 205)(48, 188, 66, 206)(49, 189, 67, 207)(50, 190, 68, 208)(51, 191, 69, 209)(52, 192, 71, 211)(53, 193, 72, 212)(54, 194, 73, 213)(60, 200, 74, 214)(64, 204, 70, 210)(75, 215, 95, 235)(76, 216, 96, 236)(77, 217, 97, 237)(78, 218, 98, 238)(79, 219, 99, 239)(80, 220, 100, 240)(81, 221, 101, 241)(82, 222, 102, 242)(83, 223, 103, 243)(84, 224, 104, 244)(85, 225, 105, 245)(86, 226, 106, 246)(87, 227, 107, 247)(88, 228, 108, 248)(89, 229, 109, 249)(90, 230, 110, 250)(91, 231, 111, 251)(92, 232, 112, 252)(93, 233, 113, 253)(94, 234, 114, 254)(115, 255, 125, 265)(116, 256, 124, 264)(117, 257, 127, 267)(118, 258, 126, 266)(119, 259, 131, 271)(120, 260, 133, 273)(121, 261, 134, 274)(122, 262, 128, 268)(123, 263, 135, 275)(129, 269, 136, 276)(130, 270, 137, 277)(132, 272, 138, 278)(139, 279, 140, 280)(281, 421, 283, 423, 288, 428, 297, 437, 308, 448, 323, 463, 340, 480, 361, 501, 344, 484, 326, 466, 311, 451, 299, 439, 290, 430, 284, 424)(282, 422, 285, 425, 292, 432, 302, 442, 315, 455, 331, 471, 350, 490, 371, 511, 354, 494, 334, 474, 318, 458, 304, 444, 294, 434, 286, 426)(287, 427, 295, 435, 289, 429, 298, 438, 310, 450, 325, 465, 343, 483, 364, 504, 381, 521, 360, 500, 339, 479, 322, 462, 307, 447, 296, 436)(291, 431, 300, 440, 293, 433, 303, 443, 317, 457, 333, 473, 353, 493, 374, 514, 391, 531, 370, 510, 349, 489, 330, 470, 314, 454, 301, 441)(305, 445, 319, 459, 306, 446, 321, 461, 338, 478, 359, 499, 380, 520, 401, 541, 384, 524, 363, 503, 342, 482, 324, 464, 309, 449, 320, 460)(312, 452, 327, 467, 313, 453, 329, 469, 348, 488, 369, 509, 390, 530, 410, 550, 394, 534, 373, 513, 352, 492, 332, 472, 316, 456, 328, 468)(335, 475, 355, 495, 336, 476, 357, 497, 341, 481, 362, 502, 383, 523, 403, 543, 414, 554, 400, 540, 379, 519, 358, 498, 337, 477, 356, 496)(345, 485, 365, 505, 346, 486, 367, 507, 351, 491, 372, 512, 393, 533, 412, 552, 417, 557, 409, 549, 389, 529, 368, 508, 347, 487, 366, 506)(375, 515, 395, 535, 376, 516, 397, 537, 378, 518, 399, 539, 413, 553, 419, 559, 415, 555, 402, 542, 382, 522, 398, 538, 377, 517, 396, 536)(385, 525, 404, 544, 386, 526, 406, 546, 388, 528, 408, 548, 416, 556, 420, 560, 418, 558, 411, 551, 392, 532, 407, 547, 387, 527, 405, 545)
	L = (1, 282)(2, 281)(3, 287)(4, 289)(5, 291)(6, 293)(7, 283)(8, 294)(9, 284)(10, 292)(11, 285)(12, 290)(13, 286)(14, 288)(15, 305)(16, 306)(17, 307)(18, 309)(19, 310)(20, 312)(21, 313)(22, 314)(23, 316)(24, 317)(25, 295)(26, 296)(27, 297)(28, 318)(29, 298)(30, 299)(31, 315)(32, 300)(33, 301)(34, 302)(35, 311)(36, 303)(37, 304)(38, 308)(39, 335)(40, 336)(41, 337)(42, 338)(43, 339)(44, 341)(45, 342)(46, 343)(47, 345)(48, 346)(49, 347)(50, 348)(51, 349)(52, 351)(53, 352)(54, 353)(55, 319)(56, 320)(57, 321)(58, 322)(59, 323)(60, 354)(61, 324)(62, 325)(63, 326)(64, 350)(65, 327)(66, 328)(67, 329)(68, 330)(69, 331)(70, 344)(71, 332)(72, 333)(73, 334)(74, 340)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 355)(96, 356)(97, 357)(98, 358)(99, 359)(100, 360)(101, 361)(102, 362)(103, 363)(104, 364)(105, 365)(106, 366)(107, 367)(108, 368)(109, 369)(110, 370)(111, 371)(112, 372)(113, 373)(114, 374)(115, 405)(116, 404)(117, 407)(118, 406)(119, 411)(120, 413)(121, 414)(122, 408)(123, 415)(124, 396)(125, 395)(126, 398)(127, 397)(128, 402)(129, 416)(130, 417)(131, 399)(132, 418)(133, 400)(134, 401)(135, 403)(136, 409)(137, 410)(138, 412)(139, 420)(140, 419)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E24.1953
Graph:: bipartite
	v = 80 e = 280 f = 154
	degree seq :: [ 4^70, 28^10 ]

E24.1953 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 14})
Quotient :: dipole
Aut^+ = D10 x D14 (small group id <140, 7>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3 * Y2^-1)^14 ]
Map:: polytopal
	R = (1, 141, 2, 142, 6, 146, 14, 154, 26, 166, 42, 182, 40, 180, 24, 164, 12, 152, 4, 144)(3, 143, 9, 149, 19, 159, 33, 173, 51, 191, 62, 202, 43, 183, 28, 168, 15, 155, 8, 148)(5, 145, 11, 151, 22, 162, 37, 177, 56, 196, 61, 201, 44, 184, 27, 167, 16, 156, 7, 147)(10, 150, 18, 158, 29, 169, 46, 186, 63, 203, 82, 222, 71, 211, 52, 192, 34, 174, 20, 160)(13, 153, 17, 157, 30, 170, 45, 185, 64, 204, 81, 221, 76, 216, 57, 197, 38, 178, 23, 163)(21, 161, 35, 175, 53, 193, 72, 212, 91, 231, 101, 241, 83, 223, 66, 206, 47, 187, 32, 172)(25, 165, 39, 179, 58, 198, 77, 217, 96, 236, 100, 240, 84, 224, 65, 205, 48, 188, 31, 171)(36, 176, 50, 190, 67, 207, 86, 226, 102, 242, 117, 257, 109, 249, 92, 232, 73, 213, 54, 194)(41, 181, 49, 189, 68, 208, 85, 225, 103, 243, 116, 256, 113, 253, 97, 237, 78, 218, 59, 199)(55, 195, 74, 214, 93, 233, 110, 250, 123, 263, 129, 269, 118, 258, 105, 245, 87, 227, 70, 210)(60, 200, 79, 219, 98, 238, 114, 254, 126, 266, 128, 268, 119, 259, 104, 244, 88, 228, 69, 209)(75, 215, 90, 230, 106, 246, 121, 261, 130, 270, 137, 277, 133, 273, 124, 264, 111, 251, 94, 234)(80, 220, 89, 229, 107, 247, 120, 260, 131, 271, 136, 276, 135, 275, 127, 267, 115, 255, 99, 239)(95, 235, 112, 252, 125, 265, 134, 274, 139, 279, 140, 280, 138, 278, 132, 272, 122, 262, 108, 248)(281, 421)(282, 422)(283, 423)(284, 424)(285, 425)(286, 426)(287, 427)(288, 428)(289, 429)(290, 430)(291, 431)(292, 432)(293, 433)(294, 434)(295, 435)(296, 436)(297, 437)(298, 438)(299, 439)(300, 440)(301, 441)(302, 442)(303, 443)(304, 444)(305, 445)(306, 446)(307, 447)(308, 448)(309, 449)(310, 450)(311, 451)(312, 452)(313, 453)(314, 454)(315, 455)(316, 456)(317, 457)(318, 458)(319, 459)(320, 460)(321, 461)(322, 462)(323, 463)(324, 464)(325, 465)(326, 466)(327, 467)(328, 468)(329, 469)(330, 470)(331, 471)(332, 472)(333, 473)(334, 474)(335, 475)(336, 476)(337, 477)(338, 478)(339, 479)(340, 480)(341, 481)(342, 482)(343, 483)(344, 484)(345, 485)(346, 486)(347, 487)(348, 488)(349, 489)(350, 490)(351, 491)(352, 492)(353, 493)(354, 494)(355, 495)(356, 496)(357, 497)(358, 498)(359, 499)(360, 500)(361, 501)(362, 502)(363, 503)(364, 504)(365, 505)(366, 506)(367, 507)(368, 508)(369, 509)(370, 510)(371, 511)(372, 512)(373, 513)(374, 514)(375, 515)(376, 516)(377, 517)(378, 518)(379, 519)(380, 520)(381, 521)(382, 522)(383, 523)(384, 524)(385, 525)(386, 526)(387, 527)(388, 528)(389, 529)(390, 530)(391, 531)(392, 532)(393, 533)(394, 534)(395, 535)(396, 536)(397, 537)(398, 538)(399, 539)(400, 540)(401, 541)(402, 542)(403, 543)(404, 544)(405, 545)(406, 546)(407, 547)(408, 548)(409, 549)(410, 550)(411, 551)(412, 552)(413, 553)(414, 554)(415, 555)(416, 556)(417, 557)(418, 558)(419, 559)(420, 560)
	L = (1, 283)(2, 287)(3, 290)(4, 291)(5, 281)(6, 295)(7, 297)(8, 282)(9, 284)(10, 301)(11, 303)(12, 299)(13, 285)(14, 307)(15, 309)(16, 286)(17, 311)(18, 288)(19, 314)(20, 289)(21, 316)(22, 292)(23, 319)(24, 317)(25, 293)(26, 323)(27, 325)(28, 294)(29, 327)(30, 296)(31, 329)(32, 298)(33, 304)(34, 333)(35, 300)(36, 335)(37, 337)(38, 302)(39, 339)(40, 331)(41, 305)(42, 341)(43, 343)(44, 306)(45, 345)(46, 308)(47, 347)(48, 310)(49, 349)(50, 312)(51, 351)(52, 313)(53, 353)(54, 315)(55, 355)(56, 320)(57, 357)(58, 318)(59, 359)(60, 321)(61, 361)(62, 322)(63, 363)(64, 324)(65, 365)(66, 326)(67, 367)(68, 328)(69, 369)(70, 330)(71, 371)(72, 332)(73, 373)(74, 334)(75, 375)(76, 336)(77, 377)(78, 338)(79, 379)(80, 340)(81, 380)(82, 342)(83, 382)(84, 344)(85, 384)(86, 346)(87, 386)(88, 348)(89, 388)(90, 350)(91, 389)(92, 352)(93, 391)(94, 354)(95, 360)(96, 356)(97, 394)(98, 358)(99, 392)(100, 396)(101, 362)(102, 398)(103, 364)(104, 400)(105, 366)(106, 402)(107, 368)(108, 370)(109, 403)(110, 372)(111, 405)(112, 374)(113, 376)(114, 407)(115, 378)(116, 408)(117, 381)(118, 410)(119, 383)(120, 412)(121, 385)(122, 387)(123, 413)(124, 390)(125, 395)(126, 393)(127, 414)(128, 416)(129, 397)(130, 418)(131, 399)(132, 401)(133, 419)(134, 404)(135, 406)(136, 420)(137, 409)(138, 411)(139, 415)(140, 417)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 4, 28 ), ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E24.1952
Graph:: simple bipartite
	v = 154 e = 280 f = 80
	degree seq :: [ 2^140, 20^14 ]

E24.1954 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 18})
Quotient :: regular
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 105, 104, 85, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 97, 113, 121, 106, 88, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 82, 101, 117, 120, 107, 87, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 90, 108, 123, 132, 127, 114, 98, 76, 56, 40, 27)(23, 36, 24, 38, 50, 69, 89, 109, 122, 133, 130, 118, 102, 83, 62, 45, 30, 37)(41, 57, 42, 59, 77, 99, 115, 128, 137, 141, 134, 125, 110, 92, 70, 60, 43, 58)(52, 71, 53, 73, 63, 84, 103, 119, 131, 139, 140, 135, 124, 111, 91, 74, 54, 72)(78, 93, 79, 94, 81, 96, 112, 126, 136, 142, 144, 143, 138, 129, 116, 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, 106)(88, 108)(90, 110)(92, 112)(97, 114)(98, 115)(99, 116)(104, 113)(105, 120)(107, 122)(109, 124)(111, 126)(117, 130)(118, 131)(119, 129)(121, 132)(123, 134)(125, 136)(127, 137)(128, 138)(133, 140)(135, 142)(139, 143)(141, 144)
	local type(s) :: { ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1955
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 72 f = 18
	degree seq :: [ 18^8 ]

E24.1955 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 18})
Quotient :: regular
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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 * 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, 129, 122, 131, 124, 132, 123, 130)(125, 133, 126, 135, 128, 136, 127, 134)(137, 142, 138, 144, 140, 143, 139, 141)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 51)(43, 52)(47, 57)(48, 58)(49, 59)(50, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)(97, 105)(98, 106)(99, 107)(100, 108)(101, 109)(102, 110)(103, 111)(104, 112)(113, 121)(114, 122)(115, 123)(116, 124)(117, 125)(118, 126)(119, 127)(120, 128)(129, 137)(130, 138)(131, 139)(132, 140)(133, 141)(134, 142)(135, 143)(136, 144)
	local type(s) :: { ( 18^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1954
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 72 f = 8
	degree seq :: [ 8^18 ]

E24.1956 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 18})
Quotient :: edge
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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 * 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, 137, 130, 139, 132, 140, 131, 138)(133, 141, 134, 143, 136, 144, 135, 142)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 158)(154, 156)(159, 169)(160, 170)(161, 171)(162, 173)(163, 174)(164, 175)(165, 176)(166, 177)(167, 179)(168, 180)(172, 178)(181, 191)(182, 192)(183, 193)(184, 194)(185, 195)(186, 196)(187, 197)(188, 198)(189, 199)(190, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 225)(218, 226)(219, 227)(220, 228)(221, 229)(222, 230)(223, 231)(224, 232)(233, 241)(234, 242)(235, 243)(236, 244)(237, 245)(238, 246)(239, 247)(240, 248)(249, 257)(250, 258)(251, 259)(252, 260)(253, 261)(254, 262)(255, 263)(256, 264)(265, 273)(266, 274)(267, 275)(268, 276)(269, 277)(270, 278)(271, 279)(272, 280)(281, 286)(282, 285)(283, 288)(284, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 36, 36 ), ( 36^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1960
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 8
	degree seq :: [ 2^72, 8^18 ]

E24.1957 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 18})
Quotient :: edge
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^8, T2^18 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 52, 68, 84, 100, 116, 104, 88, 72, 56, 40, 25, 13, 5)(2, 7, 17, 31, 47, 63, 79, 95, 111, 126, 112, 96, 80, 64, 48, 32, 18, 8)(4, 11, 23, 39, 55, 71, 87, 103, 119, 129, 115, 99, 83, 67, 51, 35, 20, 9)(6, 15, 29, 45, 61, 77, 93, 109, 124, 136, 125, 110, 94, 78, 62, 46, 30, 16)(12, 19, 34, 50, 66, 82, 98, 114, 128, 138, 131, 118, 102, 86, 70, 54, 38, 22)(14, 27, 43, 59, 75, 91, 107, 122, 134, 142, 135, 123, 108, 92, 76, 60, 44, 28)(24, 37, 53, 69, 85, 101, 117, 130, 139, 143, 137, 127, 113, 97, 81, 65, 49, 33)(26, 41, 57, 73, 89, 105, 120, 132, 140, 144, 141, 133, 121, 106, 90, 74, 58, 42)(145, 146, 150, 158, 170, 168, 156, 148)(147, 153, 163, 177, 185, 172, 159, 152)(149, 155, 166, 181, 186, 171, 160, 151)(154, 162, 173, 188, 201, 193, 178, 164)(157, 161, 174, 187, 202, 197, 182, 167)(165, 179, 194, 209, 217, 204, 189, 176)(169, 183, 198, 213, 218, 203, 190, 175)(180, 192, 205, 220, 233, 225, 210, 195)(184, 191, 206, 219, 234, 229, 214, 199)(196, 211, 226, 241, 249, 236, 221, 208)(200, 215, 230, 245, 250, 235, 222, 207)(212, 224, 237, 252, 264, 257, 242, 227)(216, 223, 238, 251, 265, 261, 246, 231)(228, 243, 258, 271, 276, 267, 253, 240)(232, 247, 262, 274, 277, 266, 254, 239)(244, 256, 268, 279, 284, 281, 272, 259)(248, 255, 269, 278, 285, 283, 275, 263)(260, 273, 282, 287, 288, 286, 280, 270)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1961
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 144 f = 72
	degree seq :: [ 8^18, 18^8 ]

E24.1958 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 18})
Quotient :: edge
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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, T1^18 ]
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, 106)(88, 108)(90, 110)(92, 112)(97, 114)(98, 115)(99, 116)(104, 113)(105, 120)(107, 122)(109, 124)(111, 126)(117, 130)(118, 131)(119, 129)(121, 132)(123, 134)(125, 136)(127, 137)(128, 138)(133, 140)(135, 142)(139, 143)(141, 144)(145, 146, 149, 155, 164, 176, 191, 209, 230, 249, 248, 229, 208, 190, 175, 163, 154, 148)(147, 151, 159, 169, 183, 199, 219, 241, 257, 265, 250, 232, 210, 193, 177, 166, 156, 152)(150, 157, 153, 162, 173, 188, 205, 226, 245, 261, 264, 251, 231, 211, 192, 178, 165, 158)(160, 170, 161, 172, 179, 195, 212, 234, 252, 267, 276, 271, 258, 242, 220, 200, 184, 171)(167, 180, 168, 182, 194, 213, 233, 253, 266, 277, 274, 262, 246, 227, 206, 189, 174, 181)(185, 201, 186, 203, 221, 243, 259, 272, 281, 285, 278, 269, 254, 236, 214, 204, 187, 202)(196, 215, 197, 217, 207, 228, 247, 263, 275, 283, 284, 279, 268, 255, 235, 218, 198, 216)(222, 237, 223, 238, 225, 240, 256, 270, 280, 286, 288, 287, 282, 273, 260, 244, 224, 239)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1959
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 144 f = 18
	degree seq :: [ 2^72, 18^8 ]

E24.1959 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 18})
Quotient :: loop
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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 * T2 * T1 * T2 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 17, 161, 28, 172, 19, 163, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 22, 166, 34, 178, 24, 168, 14, 158, 6, 150)(7, 151, 15, 159, 9, 153, 18, 162, 30, 174, 40, 184, 27, 171, 16, 160)(11, 155, 20, 164, 13, 157, 23, 167, 36, 180, 45, 189, 33, 177, 21, 165)(25, 169, 37, 181, 26, 170, 39, 183, 50, 194, 41, 185, 29, 173, 38, 182)(31, 175, 42, 186, 32, 176, 44, 188, 55, 199, 46, 190, 35, 179, 43, 187)(47, 191, 57, 201, 48, 192, 59, 203, 51, 195, 60, 204, 49, 193, 58, 202)(52, 196, 61, 205, 53, 197, 63, 207, 56, 200, 64, 208, 54, 198, 62, 206)(65, 209, 73, 217, 66, 210, 75, 219, 68, 212, 76, 220, 67, 211, 74, 218)(69, 213, 77, 221, 70, 214, 79, 223, 72, 216, 80, 224, 71, 215, 78, 222)(81, 225, 89, 233, 82, 226, 91, 235, 84, 228, 92, 236, 83, 227, 90, 234)(85, 229, 93, 237, 86, 230, 95, 239, 88, 232, 96, 240, 87, 231, 94, 238)(97, 241, 105, 249, 98, 242, 107, 251, 100, 244, 108, 252, 99, 243, 106, 250)(101, 245, 109, 253, 102, 246, 111, 255, 104, 248, 112, 256, 103, 247, 110, 254)(113, 257, 121, 265, 114, 258, 123, 267, 116, 260, 124, 268, 115, 259, 122, 266)(117, 261, 125, 269, 118, 262, 127, 271, 120, 264, 128, 272, 119, 263, 126, 270)(129, 273, 137, 281, 130, 274, 139, 283, 132, 276, 140, 284, 131, 275, 138, 282)(133, 277, 141, 285, 134, 278, 143, 287, 136, 280, 144, 288, 135, 279, 142, 286)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 158)(9, 148)(10, 156)(11, 149)(12, 154)(13, 150)(14, 152)(15, 169)(16, 170)(17, 171)(18, 173)(19, 174)(20, 175)(21, 176)(22, 177)(23, 179)(24, 180)(25, 159)(26, 160)(27, 161)(28, 178)(29, 162)(30, 163)(31, 164)(32, 165)(33, 166)(34, 172)(35, 167)(36, 168)(37, 191)(38, 192)(39, 193)(40, 194)(41, 195)(42, 196)(43, 197)(44, 198)(45, 199)(46, 200)(47, 181)(48, 182)(49, 183)(50, 184)(51, 185)(52, 186)(53, 187)(54, 188)(55, 189)(56, 190)(57, 209)(58, 210)(59, 211)(60, 212)(61, 213)(62, 214)(63, 215)(64, 216)(65, 201)(66, 202)(67, 203)(68, 204)(69, 205)(70, 206)(71, 207)(72, 208)(73, 225)(74, 226)(75, 227)(76, 228)(77, 229)(78, 230)(79, 231)(80, 232)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)(137, 286)(138, 285)(139, 288)(140, 287)(141, 282)(142, 281)(143, 284)(144, 283)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1958
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 144 f = 80
	degree seq :: [ 16^18 ]

E24.1960 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 18})
Quotient :: loop
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^8, T2^18 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 21, 165, 36, 180, 52, 196, 68, 212, 84, 228, 100, 244, 116, 260, 104, 248, 88, 232, 72, 216, 56, 200, 40, 184, 25, 169, 13, 157, 5, 149)(2, 146, 7, 151, 17, 161, 31, 175, 47, 191, 63, 207, 79, 223, 95, 239, 111, 255, 126, 270, 112, 256, 96, 240, 80, 224, 64, 208, 48, 192, 32, 176, 18, 162, 8, 152)(4, 148, 11, 155, 23, 167, 39, 183, 55, 199, 71, 215, 87, 231, 103, 247, 119, 263, 129, 273, 115, 259, 99, 243, 83, 227, 67, 211, 51, 195, 35, 179, 20, 164, 9, 153)(6, 150, 15, 159, 29, 173, 45, 189, 61, 205, 77, 221, 93, 237, 109, 253, 124, 268, 136, 280, 125, 269, 110, 254, 94, 238, 78, 222, 62, 206, 46, 190, 30, 174, 16, 160)(12, 156, 19, 163, 34, 178, 50, 194, 66, 210, 82, 226, 98, 242, 114, 258, 128, 272, 138, 282, 131, 275, 118, 262, 102, 246, 86, 230, 70, 214, 54, 198, 38, 182, 22, 166)(14, 158, 27, 171, 43, 187, 59, 203, 75, 219, 91, 235, 107, 251, 122, 266, 134, 278, 142, 286, 135, 279, 123, 267, 108, 252, 92, 236, 76, 220, 60, 204, 44, 188, 28, 172)(24, 168, 37, 181, 53, 197, 69, 213, 85, 229, 101, 245, 117, 261, 130, 274, 139, 283, 143, 287, 137, 281, 127, 271, 113, 257, 97, 241, 81, 225, 65, 209, 49, 193, 33, 177)(26, 170, 41, 185, 57, 201, 73, 217, 89, 233, 105, 249, 120, 264, 132, 276, 140, 284, 144, 288, 141, 285, 133, 277, 121, 265, 106, 250, 90, 234, 74, 218, 58, 202, 42, 186)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 158)(7, 149)(8, 147)(9, 163)(10, 162)(11, 166)(12, 148)(13, 161)(14, 170)(15, 152)(16, 151)(17, 174)(18, 173)(19, 177)(20, 154)(21, 179)(22, 181)(23, 157)(24, 156)(25, 183)(26, 168)(27, 160)(28, 159)(29, 188)(30, 187)(31, 169)(32, 165)(33, 185)(34, 164)(35, 194)(36, 192)(37, 186)(38, 167)(39, 198)(40, 191)(41, 172)(42, 171)(43, 202)(44, 201)(45, 176)(46, 175)(47, 206)(48, 205)(49, 178)(50, 209)(51, 180)(52, 211)(53, 182)(54, 213)(55, 184)(56, 215)(57, 193)(58, 197)(59, 190)(60, 189)(61, 220)(62, 219)(63, 200)(64, 196)(65, 217)(66, 195)(67, 226)(68, 224)(69, 218)(70, 199)(71, 230)(72, 223)(73, 204)(74, 203)(75, 234)(76, 233)(77, 208)(78, 207)(79, 238)(80, 237)(81, 210)(82, 241)(83, 212)(84, 243)(85, 214)(86, 245)(87, 216)(88, 247)(89, 225)(90, 229)(91, 222)(92, 221)(93, 252)(94, 251)(95, 232)(96, 228)(97, 249)(98, 227)(99, 258)(100, 256)(101, 250)(102, 231)(103, 262)(104, 255)(105, 236)(106, 235)(107, 265)(108, 264)(109, 240)(110, 239)(111, 269)(112, 268)(113, 242)(114, 271)(115, 244)(116, 273)(117, 246)(118, 274)(119, 248)(120, 257)(121, 261)(122, 254)(123, 253)(124, 279)(125, 278)(126, 260)(127, 276)(128, 259)(129, 282)(130, 277)(131, 263)(132, 267)(133, 266)(134, 285)(135, 284)(136, 270)(137, 272)(138, 287)(139, 275)(140, 281)(141, 283)(142, 280)(143, 288)(144, 286)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.1956
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 144 f = 90
	degree seq :: [ 36^8 ]

E24.1961 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 18})
Quotient :: loop
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 15, 159)(11, 155, 21, 165)(13, 157, 23, 167)(14, 158, 24, 168)(18, 162, 30, 174)(19, 163, 29, 173)(20, 164, 33, 177)(22, 166, 35, 179)(25, 169, 40, 184)(26, 170, 41, 185)(27, 171, 42, 186)(28, 172, 43, 187)(31, 175, 39, 183)(32, 176, 48, 192)(34, 178, 50, 194)(36, 180, 52, 196)(37, 181, 53, 197)(38, 182, 54, 198)(44, 188, 62, 206)(45, 189, 63, 207)(46, 190, 61, 205)(47, 191, 66, 210)(49, 193, 68, 212)(51, 195, 70, 214)(55, 199, 76, 220)(56, 200, 77, 221)(57, 201, 78, 222)(58, 202, 79, 223)(59, 203, 80, 224)(60, 204, 81, 225)(64, 208, 75, 219)(65, 209, 87, 231)(67, 211, 89, 233)(69, 213, 91, 235)(71, 215, 93, 237)(72, 216, 94, 238)(73, 217, 95, 239)(74, 218, 96, 240)(82, 226, 102, 246)(83, 227, 103, 247)(84, 228, 100, 244)(85, 229, 101, 245)(86, 230, 106, 250)(88, 232, 108, 252)(90, 234, 110, 254)(92, 236, 112, 256)(97, 241, 114, 258)(98, 242, 115, 259)(99, 243, 116, 260)(104, 248, 113, 257)(105, 249, 120, 264)(107, 251, 122, 266)(109, 253, 124, 268)(111, 255, 126, 270)(117, 261, 130, 274)(118, 262, 131, 275)(119, 263, 129, 273)(121, 265, 132, 276)(123, 267, 134, 278)(125, 269, 136, 280)(127, 271, 137, 281)(128, 272, 138, 282)(133, 277, 140, 284)(135, 279, 142, 286)(139, 283, 143, 287)(141, 285, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 162)(10, 148)(11, 164)(12, 152)(13, 153)(14, 150)(15, 169)(16, 170)(17, 172)(18, 173)(19, 154)(20, 176)(21, 158)(22, 156)(23, 180)(24, 182)(25, 183)(26, 161)(27, 160)(28, 179)(29, 188)(30, 181)(31, 163)(32, 191)(33, 166)(34, 165)(35, 195)(36, 168)(37, 167)(38, 194)(39, 199)(40, 171)(41, 201)(42, 203)(43, 202)(44, 205)(45, 174)(46, 175)(47, 209)(48, 178)(49, 177)(50, 213)(51, 212)(52, 215)(53, 217)(54, 216)(55, 219)(56, 184)(57, 186)(58, 185)(59, 221)(60, 187)(61, 226)(62, 189)(63, 228)(64, 190)(65, 230)(66, 193)(67, 192)(68, 234)(69, 233)(70, 204)(71, 197)(72, 196)(73, 207)(74, 198)(75, 241)(76, 200)(77, 243)(78, 237)(79, 238)(80, 239)(81, 240)(82, 245)(83, 206)(84, 247)(85, 208)(86, 249)(87, 211)(88, 210)(89, 253)(90, 252)(91, 218)(92, 214)(93, 223)(94, 225)(95, 222)(96, 256)(97, 257)(98, 220)(99, 259)(100, 224)(101, 261)(102, 227)(103, 263)(104, 229)(105, 248)(106, 232)(107, 231)(108, 267)(109, 266)(110, 236)(111, 235)(112, 270)(113, 265)(114, 242)(115, 272)(116, 244)(117, 264)(118, 246)(119, 275)(120, 251)(121, 250)(122, 277)(123, 276)(124, 255)(125, 254)(126, 280)(127, 258)(128, 281)(129, 260)(130, 262)(131, 283)(132, 271)(133, 274)(134, 269)(135, 268)(136, 286)(137, 285)(138, 273)(139, 284)(140, 279)(141, 278)(142, 288)(143, 282)(144, 287)
	local type(s) :: { ( 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1957
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 26
	degree seq :: [ 4^72 ]

E24.1962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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)^18 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 14, 158)(10, 154, 12, 156)(15, 159, 25, 169)(16, 160, 26, 170)(17, 161, 27, 171)(18, 162, 29, 173)(19, 163, 30, 174)(20, 164, 31, 175)(21, 165, 32, 176)(22, 166, 33, 177)(23, 167, 35, 179)(24, 168, 36, 180)(28, 172, 34, 178)(37, 181, 47, 191)(38, 182, 48, 192)(39, 183, 49, 193)(40, 184, 50, 194)(41, 185, 51, 195)(42, 186, 52, 196)(43, 187, 53, 197)(44, 188, 54, 198)(45, 189, 55, 199)(46, 190, 56, 200)(57, 201, 65, 209)(58, 202, 66, 210)(59, 203, 67, 211)(60, 204, 68, 212)(61, 205, 69, 213)(62, 206, 70, 214)(63, 207, 71, 215)(64, 208, 72, 216)(73, 217, 81, 225)(74, 218, 82, 226)(75, 219, 83, 227)(76, 220, 84, 228)(77, 221, 85, 229)(78, 222, 86, 230)(79, 223, 87, 231)(80, 224, 88, 232)(89, 233, 97, 241)(90, 234, 98, 242)(91, 235, 99, 243)(92, 236, 100, 244)(93, 237, 101, 245)(94, 238, 102, 246)(95, 239, 103, 247)(96, 240, 104, 248)(105, 249, 113, 257)(106, 250, 114, 258)(107, 251, 115, 259)(108, 252, 116, 260)(109, 253, 117, 261)(110, 254, 118, 262)(111, 255, 119, 263)(112, 256, 120, 264)(121, 265, 129, 273)(122, 266, 130, 274)(123, 267, 131, 275)(124, 268, 132, 276)(125, 269, 133, 277)(126, 270, 134, 278)(127, 271, 135, 279)(128, 272, 136, 280)(137, 281, 142, 286)(138, 282, 141, 285)(139, 283, 144, 288)(140, 284, 143, 287)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 322, 466, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 318, 462, 328, 472, 315, 459, 304, 448)(299, 443, 308, 452, 301, 445, 311, 455, 324, 468, 333, 477, 321, 465, 309, 453)(313, 457, 325, 469, 314, 458, 327, 471, 338, 482, 329, 473, 317, 461, 326, 470)(319, 463, 330, 474, 320, 464, 332, 476, 343, 487, 334, 478, 323, 467, 331, 475)(335, 479, 345, 489, 336, 480, 347, 491, 339, 483, 348, 492, 337, 481, 346, 490)(340, 484, 349, 493, 341, 485, 351, 495, 344, 488, 352, 496, 342, 486, 350, 494)(353, 497, 361, 505, 354, 498, 363, 507, 356, 500, 364, 508, 355, 499, 362, 506)(357, 501, 365, 509, 358, 502, 367, 511, 360, 504, 368, 512, 359, 503, 366, 510)(369, 513, 377, 521, 370, 514, 379, 523, 372, 516, 380, 524, 371, 515, 378, 522)(373, 517, 381, 525, 374, 518, 383, 527, 376, 520, 384, 528, 375, 519, 382, 526)(385, 529, 393, 537, 386, 530, 395, 539, 388, 532, 396, 540, 387, 531, 394, 538)(389, 533, 397, 541, 390, 534, 399, 543, 392, 536, 400, 544, 391, 535, 398, 542)(401, 545, 409, 553, 402, 546, 411, 555, 404, 548, 412, 556, 403, 547, 410, 554)(405, 549, 413, 557, 406, 550, 415, 559, 408, 552, 416, 560, 407, 551, 414, 558)(417, 561, 425, 569, 418, 562, 427, 571, 420, 564, 428, 572, 419, 563, 426, 570)(421, 565, 429, 573, 422, 566, 431, 575, 424, 568, 432, 576, 423, 567, 430, 574)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 302)(9, 292)(10, 300)(11, 293)(12, 298)(13, 294)(14, 296)(15, 313)(16, 314)(17, 315)(18, 317)(19, 318)(20, 319)(21, 320)(22, 321)(23, 323)(24, 324)(25, 303)(26, 304)(27, 305)(28, 322)(29, 306)(30, 307)(31, 308)(32, 309)(33, 310)(34, 316)(35, 311)(36, 312)(37, 335)(38, 336)(39, 337)(40, 338)(41, 339)(42, 340)(43, 341)(44, 342)(45, 343)(46, 344)(47, 325)(48, 326)(49, 327)(50, 328)(51, 329)(52, 330)(53, 331)(54, 332)(55, 333)(56, 334)(57, 353)(58, 354)(59, 355)(60, 356)(61, 357)(62, 358)(63, 359)(64, 360)(65, 345)(66, 346)(67, 347)(68, 348)(69, 349)(70, 350)(71, 351)(72, 352)(73, 369)(74, 370)(75, 371)(76, 372)(77, 373)(78, 374)(79, 375)(80, 376)(81, 361)(82, 362)(83, 363)(84, 364)(85, 365)(86, 366)(87, 367)(88, 368)(89, 385)(90, 386)(91, 387)(92, 388)(93, 389)(94, 390)(95, 391)(96, 392)(97, 377)(98, 378)(99, 379)(100, 380)(101, 381)(102, 382)(103, 383)(104, 384)(105, 401)(106, 402)(107, 403)(108, 404)(109, 405)(110, 406)(111, 407)(112, 408)(113, 393)(114, 394)(115, 395)(116, 396)(117, 397)(118, 398)(119, 399)(120, 400)(121, 417)(122, 418)(123, 419)(124, 420)(125, 421)(126, 422)(127, 423)(128, 424)(129, 409)(130, 410)(131, 411)(132, 412)(133, 413)(134, 414)(135, 415)(136, 416)(137, 430)(138, 429)(139, 432)(140, 431)(141, 426)(142, 425)(143, 428)(144, 427)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1965
Graph:: bipartite
	v = 90 e = 288 f = 152
	degree seq :: [ 4^72, 16^18 ]

E24.1963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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, Y2^18 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 14, 158, 26, 170, 24, 168, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 33, 177, 41, 185, 28, 172, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 37, 181, 42, 186, 27, 171, 16, 160, 7, 151)(10, 154, 18, 162, 29, 173, 44, 188, 57, 201, 49, 193, 34, 178, 20, 164)(13, 157, 17, 161, 30, 174, 43, 187, 58, 202, 53, 197, 38, 182, 23, 167)(21, 165, 35, 179, 50, 194, 65, 209, 73, 217, 60, 204, 45, 189, 32, 176)(25, 169, 39, 183, 54, 198, 69, 213, 74, 218, 59, 203, 46, 190, 31, 175)(36, 180, 48, 192, 61, 205, 76, 220, 89, 233, 81, 225, 66, 210, 51, 195)(40, 184, 47, 191, 62, 206, 75, 219, 90, 234, 85, 229, 70, 214, 55, 199)(52, 196, 67, 211, 82, 226, 97, 241, 105, 249, 92, 236, 77, 221, 64, 208)(56, 200, 71, 215, 86, 230, 101, 245, 106, 250, 91, 235, 78, 222, 63, 207)(68, 212, 80, 224, 93, 237, 108, 252, 120, 264, 113, 257, 98, 242, 83, 227)(72, 216, 79, 223, 94, 238, 107, 251, 121, 265, 117, 261, 102, 246, 87, 231)(84, 228, 99, 243, 114, 258, 127, 271, 132, 276, 123, 267, 109, 253, 96, 240)(88, 232, 103, 247, 118, 262, 130, 274, 133, 277, 122, 266, 110, 254, 95, 239)(100, 244, 112, 256, 124, 268, 135, 279, 140, 284, 137, 281, 128, 272, 115, 259)(104, 248, 111, 255, 125, 269, 134, 278, 141, 285, 139, 283, 131, 275, 119, 263)(116, 260, 129, 273, 138, 282, 143, 287, 144, 288, 142, 286, 136, 280, 126, 270)(289, 433, 291, 435, 298, 442, 309, 453, 324, 468, 340, 484, 356, 500, 372, 516, 388, 532, 404, 548, 392, 536, 376, 520, 360, 504, 344, 488, 328, 472, 313, 457, 301, 445, 293, 437)(290, 434, 295, 439, 305, 449, 319, 463, 335, 479, 351, 495, 367, 511, 383, 527, 399, 543, 414, 558, 400, 544, 384, 528, 368, 512, 352, 496, 336, 480, 320, 464, 306, 450, 296, 440)(292, 436, 299, 443, 311, 455, 327, 471, 343, 487, 359, 503, 375, 519, 391, 535, 407, 551, 417, 561, 403, 547, 387, 531, 371, 515, 355, 499, 339, 483, 323, 467, 308, 452, 297, 441)(294, 438, 303, 447, 317, 461, 333, 477, 349, 493, 365, 509, 381, 525, 397, 541, 412, 556, 424, 568, 413, 557, 398, 542, 382, 526, 366, 510, 350, 494, 334, 478, 318, 462, 304, 448)(300, 444, 307, 451, 322, 466, 338, 482, 354, 498, 370, 514, 386, 530, 402, 546, 416, 560, 426, 570, 419, 563, 406, 550, 390, 534, 374, 518, 358, 502, 342, 486, 326, 470, 310, 454)(302, 446, 315, 459, 331, 475, 347, 491, 363, 507, 379, 523, 395, 539, 410, 554, 422, 566, 430, 574, 423, 567, 411, 555, 396, 540, 380, 524, 364, 508, 348, 492, 332, 476, 316, 460)(312, 456, 325, 469, 341, 485, 357, 501, 373, 517, 389, 533, 405, 549, 418, 562, 427, 571, 431, 575, 425, 569, 415, 559, 401, 545, 385, 529, 369, 513, 353, 497, 337, 481, 321, 465)(314, 458, 329, 473, 345, 489, 361, 505, 377, 521, 393, 537, 408, 552, 420, 564, 428, 572, 432, 576, 429, 573, 421, 565, 409, 553, 394, 538, 378, 522, 362, 506, 346, 490, 330, 474)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 303)(7, 305)(8, 290)(9, 292)(10, 309)(11, 311)(12, 307)(13, 293)(14, 315)(15, 317)(16, 294)(17, 319)(18, 296)(19, 322)(20, 297)(21, 324)(22, 300)(23, 327)(24, 325)(25, 301)(26, 329)(27, 331)(28, 302)(29, 333)(30, 304)(31, 335)(32, 306)(33, 312)(34, 338)(35, 308)(36, 340)(37, 341)(38, 310)(39, 343)(40, 313)(41, 345)(42, 314)(43, 347)(44, 316)(45, 349)(46, 318)(47, 351)(48, 320)(49, 321)(50, 354)(51, 323)(52, 356)(53, 357)(54, 326)(55, 359)(56, 328)(57, 361)(58, 330)(59, 363)(60, 332)(61, 365)(62, 334)(63, 367)(64, 336)(65, 337)(66, 370)(67, 339)(68, 372)(69, 373)(70, 342)(71, 375)(72, 344)(73, 377)(74, 346)(75, 379)(76, 348)(77, 381)(78, 350)(79, 383)(80, 352)(81, 353)(82, 386)(83, 355)(84, 388)(85, 389)(86, 358)(87, 391)(88, 360)(89, 393)(90, 362)(91, 395)(92, 364)(93, 397)(94, 366)(95, 399)(96, 368)(97, 369)(98, 402)(99, 371)(100, 404)(101, 405)(102, 374)(103, 407)(104, 376)(105, 408)(106, 378)(107, 410)(108, 380)(109, 412)(110, 382)(111, 414)(112, 384)(113, 385)(114, 416)(115, 387)(116, 392)(117, 418)(118, 390)(119, 417)(120, 420)(121, 394)(122, 422)(123, 396)(124, 424)(125, 398)(126, 400)(127, 401)(128, 426)(129, 403)(130, 427)(131, 406)(132, 428)(133, 409)(134, 430)(135, 411)(136, 413)(137, 415)(138, 419)(139, 431)(140, 432)(141, 421)(142, 423)(143, 425)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.1964
Graph:: bipartite
	v = 26 e = 288 f = 216
	degree seq :: [ 16^18, 36^8 ]

E24.1964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 302, 446)(298, 442, 300, 444)(303, 447, 313, 457)(304, 448, 314, 458)(305, 449, 315, 459)(306, 450, 317, 461)(307, 451, 318, 462)(308, 452, 320, 464)(309, 453, 321, 465)(310, 454, 322, 466)(311, 455, 324, 468)(312, 456, 325, 469)(316, 460, 326, 470)(319, 463, 323, 467)(327, 471, 343, 487)(328, 472, 344, 488)(329, 473, 345, 489)(330, 474, 346, 490)(331, 475, 347, 491)(332, 476, 349, 493)(333, 477, 350, 494)(334, 478, 351, 495)(335, 479, 353, 497)(336, 480, 354, 498)(337, 481, 355, 499)(338, 482, 356, 500)(339, 483, 357, 501)(340, 484, 359, 503)(341, 485, 360, 504)(342, 486, 361, 505)(348, 492, 362, 506)(352, 496, 358, 502)(363, 507, 374, 518)(364, 508, 376, 520)(365, 509, 375, 519)(366, 510, 381, 525)(367, 511, 385, 529)(368, 512, 386, 530)(369, 513, 387, 531)(370, 514, 377, 521)(371, 515, 389, 533)(372, 516, 390, 534)(373, 517, 391, 535)(378, 522, 393, 537)(379, 523, 394, 538)(380, 524, 395, 539)(382, 526, 397, 541)(383, 527, 398, 542)(384, 528, 399, 543)(388, 532, 400, 544)(392, 536, 396, 540)(401, 545, 412, 556)(402, 546, 415, 559)(403, 547, 416, 560)(404, 548, 417, 561)(405, 549, 408, 552)(406, 550, 418, 562)(407, 551, 419, 563)(409, 553, 420, 564)(410, 554, 421, 565)(411, 555, 422, 566)(413, 557, 423, 567)(414, 558, 424, 568)(425, 569, 430, 574)(426, 570, 431, 575)(427, 571, 428, 572)(429, 573, 432, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 305)(9, 306)(10, 292)(11, 308)(12, 310)(13, 311)(14, 294)(15, 297)(16, 295)(17, 316)(18, 318)(19, 298)(20, 301)(21, 299)(22, 323)(23, 325)(24, 302)(25, 327)(26, 329)(27, 304)(28, 331)(29, 328)(30, 333)(31, 307)(32, 335)(33, 337)(34, 309)(35, 339)(36, 336)(37, 341)(38, 312)(39, 314)(40, 313)(41, 346)(42, 315)(43, 348)(44, 317)(45, 351)(46, 319)(47, 321)(48, 320)(49, 356)(50, 322)(51, 358)(52, 324)(53, 361)(54, 326)(55, 363)(56, 365)(57, 364)(58, 367)(59, 330)(60, 369)(61, 370)(62, 332)(63, 372)(64, 334)(65, 374)(66, 376)(67, 375)(68, 378)(69, 338)(70, 380)(71, 381)(72, 340)(73, 383)(74, 342)(75, 344)(76, 343)(77, 349)(78, 345)(79, 386)(80, 347)(81, 388)(82, 389)(83, 350)(84, 391)(85, 352)(86, 354)(87, 353)(88, 359)(89, 355)(90, 394)(91, 357)(92, 396)(93, 397)(94, 360)(95, 399)(96, 362)(97, 366)(98, 402)(99, 368)(100, 404)(101, 405)(102, 371)(103, 407)(104, 373)(105, 377)(106, 409)(107, 379)(108, 411)(109, 412)(110, 382)(111, 414)(112, 384)(113, 385)(114, 416)(115, 387)(116, 392)(117, 418)(118, 390)(119, 417)(120, 393)(121, 421)(122, 395)(123, 400)(124, 423)(125, 398)(126, 422)(127, 401)(128, 426)(129, 403)(130, 427)(131, 406)(132, 408)(133, 429)(134, 410)(135, 430)(136, 413)(137, 415)(138, 419)(139, 431)(140, 420)(141, 424)(142, 432)(143, 425)(144, 428)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 36 ), ( 16, 36, 16, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1963
Graph:: simple bipartite
	v = 216 e = 288 f = 26
	degree seq :: [ 2^144, 4^72 ]

E24.1965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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, Y1^18 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 20, 164, 32, 176, 47, 191, 65, 209, 86, 230, 105, 249, 104, 248, 85, 229, 64, 208, 46, 190, 31, 175, 19, 163, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 25, 169, 39, 183, 55, 199, 75, 219, 97, 241, 113, 257, 121, 265, 106, 250, 88, 232, 66, 210, 49, 193, 33, 177, 22, 166, 12, 156, 8, 152)(6, 150, 13, 157, 9, 153, 18, 162, 29, 173, 44, 188, 61, 205, 82, 226, 101, 245, 117, 261, 120, 264, 107, 251, 87, 231, 67, 211, 48, 192, 34, 178, 21, 165, 14, 158)(16, 160, 26, 170, 17, 161, 28, 172, 35, 179, 51, 195, 68, 212, 90, 234, 108, 252, 123, 267, 132, 276, 127, 271, 114, 258, 98, 242, 76, 220, 56, 200, 40, 184, 27, 171)(23, 167, 36, 180, 24, 168, 38, 182, 50, 194, 69, 213, 89, 233, 109, 253, 122, 266, 133, 277, 130, 274, 118, 262, 102, 246, 83, 227, 62, 206, 45, 189, 30, 174, 37, 181)(41, 185, 57, 201, 42, 186, 59, 203, 77, 221, 99, 243, 115, 259, 128, 272, 137, 281, 141, 285, 134, 278, 125, 269, 110, 254, 92, 236, 70, 214, 60, 204, 43, 187, 58, 202)(52, 196, 71, 215, 53, 197, 73, 217, 63, 207, 84, 228, 103, 247, 119, 263, 131, 275, 139, 283, 140, 284, 135, 279, 124, 268, 111, 255, 91, 235, 74, 218, 54, 198, 72, 216)(78, 222, 93, 237, 79, 223, 94, 238, 81, 225, 96, 240, 112, 256, 126, 270, 136, 280, 142, 286, 144, 288, 143, 287, 138, 282, 129, 273, 116, 260, 100, 244, 80, 224, 95, 239)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 303)(11, 309)(12, 293)(13, 311)(14, 312)(15, 298)(16, 295)(17, 296)(18, 318)(19, 317)(20, 321)(21, 299)(22, 323)(23, 301)(24, 302)(25, 328)(26, 329)(27, 330)(28, 331)(29, 307)(30, 306)(31, 327)(32, 336)(33, 308)(34, 338)(35, 310)(36, 340)(37, 341)(38, 342)(39, 319)(40, 313)(41, 314)(42, 315)(43, 316)(44, 350)(45, 351)(46, 349)(47, 354)(48, 320)(49, 356)(50, 322)(51, 358)(52, 324)(53, 325)(54, 326)(55, 364)(56, 365)(57, 366)(58, 367)(59, 368)(60, 369)(61, 334)(62, 332)(63, 333)(64, 363)(65, 375)(66, 335)(67, 377)(68, 337)(69, 379)(70, 339)(71, 381)(72, 382)(73, 383)(74, 384)(75, 352)(76, 343)(77, 344)(78, 345)(79, 346)(80, 347)(81, 348)(82, 390)(83, 391)(84, 388)(85, 389)(86, 394)(87, 353)(88, 396)(89, 355)(90, 398)(91, 357)(92, 400)(93, 359)(94, 360)(95, 361)(96, 362)(97, 402)(98, 403)(99, 404)(100, 372)(101, 373)(102, 370)(103, 371)(104, 401)(105, 408)(106, 374)(107, 410)(108, 376)(109, 412)(110, 378)(111, 414)(112, 380)(113, 392)(114, 385)(115, 386)(116, 387)(117, 418)(118, 419)(119, 417)(120, 393)(121, 420)(122, 395)(123, 422)(124, 397)(125, 424)(126, 399)(127, 425)(128, 426)(129, 407)(130, 405)(131, 406)(132, 409)(133, 428)(134, 411)(135, 430)(136, 413)(137, 415)(138, 416)(139, 431)(140, 421)(141, 432)(142, 423)(143, 427)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 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 E24.1962
Graph:: simple bipartite
	v = 152 e = 288 f = 90
	degree seq :: [ 2^144, 36^8 ]

E24.1966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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, Y2^18 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 14, 158)(10, 154, 12, 156)(15, 159, 25, 169)(16, 160, 26, 170)(17, 161, 27, 171)(18, 162, 29, 173)(19, 163, 30, 174)(20, 164, 32, 176)(21, 165, 33, 177)(22, 166, 34, 178)(23, 167, 36, 180)(24, 168, 37, 181)(28, 172, 38, 182)(31, 175, 35, 179)(39, 183, 55, 199)(40, 184, 56, 200)(41, 185, 57, 201)(42, 186, 58, 202)(43, 187, 59, 203)(44, 188, 61, 205)(45, 189, 62, 206)(46, 190, 63, 207)(47, 191, 65, 209)(48, 192, 66, 210)(49, 193, 67, 211)(50, 194, 68, 212)(51, 195, 69, 213)(52, 196, 71, 215)(53, 197, 72, 216)(54, 198, 73, 217)(60, 204, 74, 218)(64, 208, 70, 214)(75, 219, 86, 230)(76, 220, 88, 232)(77, 221, 87, 231)(78, 222, 93, 237)(79, 223, 97, 241)(80, 224, 98, 242)(81, 225, 99, 243)(82, 226, 89, 233)(83, 227, 101, 245)(84, 228, 102, 246)(85, 229, 103, 247)(90, 234, 105, 249)(91, 235, 106, 250)(92, 236, 107, 251)(94, 238, 109, 253)(95, 239, 110, 254)(96, 240, 111, 255)(100, 244, 112, 256)(104, 248, 108, 252)(113, 257, 124, 268)(114, 258, 127, 271)(115, 259, 128, 272)(116, 260, 129, 273)(117, 261, 120, 264)(118, 262, 130, 274)(119, 263, 131, 275)(121, 265, 132, 276)(122, 266, 133, 277)(123, 267, 134, 278)(125, 269, 135, 279)(126, 270, 136, 280)(137, 281, 142, 286)(138, 282, 143, 287)(139, 283, 140, 284)(141, 285, 144, 288)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 331, 475, 348, 492, 369, 513, 388, 532, 404, 548, 392, 536, 373, 517, 352, 496, 334, 478, 319, 463, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 323, 467, 339, 483, 358, 502, 380, 524, 396, 540, 411, 555, 400, 544, 384, 528, 362, 506, 342, 486, 326, 470, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 318, 462, 333, 477, 351, 495, 372, 516, 391, 535, 407, 551, 417, 561, 403, 547, 387, 531, 368, 512, 347, 491, 330, 474, 315, 459, 304, 448)(299, 443, 308, 452, 301, 445, 311, 455, 325, 469, 341, 485, 361, 505, 383, 527, 399, 543, 414, 558, 422, 566, 410, 554, 395, 539, 379, 523, 357, 501, 338, 482, 322, 466, 309, 453)(313, 457, 327, 471, 314, 458, 329, 473, 346, 490, 367, 511, 386, 530, 402, 546, 416, 560, 426, 570, 419, 563, 406, 550, 390, 534, 371, 515, 350, 494, 332, 476, 317, 461, 328, 472)(320, 464, 335, 479, 321, 465, 337, 481, 356, 500, 378, 522, 394, 538, 409, 553, 421, 565, 429, 573, 424, 568, 413, 557, 398, 542, 382, 526, 360, 504, 340, 484, 324, 468, 336, 480)(343, 487, 363, 507, 344, 488, 365, 509, 349, 493, 370, 514, 389, 533, 405, 549, 418, 562, 427, 571, 431, 575, 425, 569, 415, 559, 401, 545, 385, 529, 366, 510, 345, 489, 364, 508)(353, 497, 374, 518, 354, 498, 376, 520, 359, 503, 381, 525, 397, 541, 412, 556, 423, 567, 430, 574, 432, 576, 428, 572, 420, 564, 408, 552, 393, 537, 377, 521, 355, 499, 375, 519)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 302)(9, 292)(10, 300)(11, 293)(12, 298)(13, 294)(14, 296)(15, 313)(16, 314)(17, 315)(18, 317)(19, 318)(20, 320)(21, 321)(22, 322)(23, 324)(24, 325)(25, 303)(26, 304)(27, 305)(28, 326)(29, 306)(30, 307)(31, 323)(32, 308)(33, 309)(34, 310)(35, 319)(36, 311)(37, 312)(38, 316)(39, 343)(40, 344)(41, 345)(42, 346)(43, 347)(44, 349)(45, 350)(46, 351)(47, 353)(48, 354)(49, 355)(50, 356)(51, 357)(52, 359)(53, 360)(54, 361)(55, 327)(56, 328)(57, 329)(58, 330)(59, 331)(60, 362)(61, 332)(62, 333)(63, 334)(64, 358)(65, 335)(66, 336)(67, 337)(68, 338)(69, 339)(70, 352)(71, 340)(72, 341)(73, 342)(74, 348)(75, 374)(76, 376)(77, 375)(78, 381)(79, 385)(80, 386)(81, 387)(82, 377)(83, 389)(84, 390)(85, 391)(86, 363)(87, 365)(88, 364)(89, 370)(90, 393)(91, 394)(92, 395)(93, 366)(94, 397)(95, 398)(96, 399)(97, 367)(98, 368)(99, 369)(100, 400)(101, 371)(102, 372)(103, 373)(104, 396)(105, 378)(106, 379)(107, 380)(108, 392)(109, 382)(110, 383)(111, 384)(112, 388)(113, 412)(114, 415)(115, 416)(116, 417)(117, 408)(118, 418)(119, 419)(120, 405)(121, 420)(122, 421)(123, 422)(124, 401)(125, 423)(126, 424)(127, 402)(128, 403)(129, 404)(130, 406)(131, 407)(132, 409)(133, 410)(134, 411)(135, 413)(136, 414)(137, 430)(138, 431)(139, 428)(140, 427)(141, 432)(142, 425)(143, 426)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E24.1967
Graph:: bipartite
	v = 80 e = 288 f = 162
	degree seq :: [ 4^72, 36^8 ]

E24.1967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (C9 x D8) : C2 (small group id <144, 16>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|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)^18 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 14, 158, 26, 170, 24, 168, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 33, 177, 41, 185, 28, 172, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 37, 181, 42, 186, 27, 171, 16, 160, 7, 151)(10, 154, 18, 162, 29, 173, 44, 188, 57, 201, 49, 193, 34, 178, 20, 164)(13, 157, 17, 161, 30, 174, 43, 187, 58, 202, 53, 197, 38, 182, 23, 167)(21, 165, 35, 179, 50, 194, 65, 209, 73, 217, 60, 204, 45, 189, 32, 176)(25, 169, 39, 183, 54, 198, 69, 213, 74, 218, 59, 203, 46, 190, 31, 175)(36, 180, 48, 192, 61, 205, 76, 220, 89, 233, 81, 225, 66, 210, 51, 195)(40, 184, 47, 191, 62, 206, 75, 219, 90, 234, 85, 229, 70, 214, 55, 199)(52, 196, 67, 211, 82, 226, 97, 241, 105, 249, 92, 236, 77, 221, 64, 208)(56, 200, 71, 215, 86, 230, 101, 245, 106, 250, 91, 235, 78, 222, 63, 207)(68, 212, 80, 224, 93, 237, 108, 252, 120, 264, 113, 257, 98, 242, 83, 227)(72, 216, 79, 223, 94, 238, 107, 251, 121, 265, 117, 261, 102, 246, 87, 231)(84, 228, 99, 243, 114, 258, 127, 271, 132, 276, 123, 267, 109, 253, 96, 240)(88, 232, 103, 247, 118, 262, 130, 274, 133, 277, 122, 266, 110, 254, 95, 239)(100, 244, 112, 256, 124, 268, 135, 279, 140, 284, 137, 281, 128, 272, 115, 259)(104, 248, 111, 255, 125, 269, 134, 278, 141, 285, 139, 283, 131, 275, 119, 263)(116, 260, 129, 273, 138, 282, 143, 287, 144, 288, 142, 286, 136, 280, 126, 270)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 303)(7, 305)(8, 290)(9, 292)(10, 309)(11, 311)(12, 307)(13, 293)(14, 315)(15, 317)(16, 294)(17, 319)(18, 296)(19, 322)(20, 297)(21, 324)(22, 300)(23, 327)(24, 325)(25, 301)(26, 329)(27, 331)(28, 302)(29, 333)(30, 304)(31, 335)(32, 306)(33, 312)(34, 338)(35, 308)(36, 340)(37, 341)(38, 310)(39, 343)(40, 313)(41, 345)(42, 314)(43, 347)(44, 316)(45, 349)(46, 318)(47, 351)(48, 320)(49, 321)(50, 354)(51, 323)(52, 356)(53, 357)(54, 326)(55, 359)(56, 328)(57, 361)(58, 330)(59, 363)(60, 332)(61, 365)(62, 334)(63, 367)(64, 336)(65, 337)(66, 370)(67, 339)(68, 372)(69, 373)(70, 342)(71, 375)(72, 344)(73, 377)(74, 346)(75, 379)(76, 348)(77, 381)(78, 350)(79, 383)(80, 352)(81, 353)(82, 386)(83, 355)(84, 388)(85, 389)(86, 358)(87, 391)(88, 360)(89, 393)(90, 362)(91, 395)(92, 364)(93, 397)(94, 366)(95, 399)(96, 368)(97, 369)(98, 402)(99, 371)(100, 404)(101, 405)(102, 374)(103, 407)(104, 376)(105, 408)(106, 378)(107, 410)(108, 380)(109, 412)(110, 382)(111, 414)(112, 384)(113, 385)(114, 416)(115, 387)(116, 392)(117, 418)(118, 390)(119, 417)(120, 420)(121, 394)(122, 422)(123, 396)(124, 424)(125, 398)(126, 400)(127, 401)(128, 426)(129, 403)(130, 427)(131, 406)(132, 428)(133, 409)(134, 430)(135, 411)(136, 413)(137, 415)(138, 419)(139, 431)(140, 432)(141, 421)(142, 423)(143, 425)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1966
Graph:: simple bipartite
	v = 162 e = 288 f = 80
	degree seq :: [ 2^144, 16^18 ]

E24.1968 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 18})
Quotient :: regular
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^3 * T2)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1)^2, (T1^-1 * T2 * T1^-1 * T2 * T1 * T2)^2, T1^2 * T2 * T1^-4 * T2 * T1^2 * T2 * T1^-1 * T2, (T1^-1 * T2)^8, T1^18 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 75, 119, 137, 144, 139, 141, 118, 74, 42, 22, 10, 4)(3, 7, 15, 31, 55, 95, 133, 125, 88, 130, 114, 131, 120, 79, 45, 24, 18, 8)(6, 13, 27, 21, 41, 72, 115, 104, 122, 107, 64, 106, 135, 98, 77, 44, 30, 14)(9, 19, 38, 66, 110, 109, 132, 93, 59, 101, 127, 103, 76, 48, 26, 12, 25, 20)(16, 33, 58, 37, 65, 108, 112, 67, 111, 71, 40, 70, 83, 47, 82, 96, 61, 34)(17, 35, 62, 78, 117, 73, 90, 51, 28, 50, 87, 54, 94, 99, 57, 32, 56, 36)(29, 52, 91, 113, 69, 39, 68, 81, 46, 80, 121, 84, 116, 128, 86, 49, 85, 53)(60, 102, 138, 124, 92, 63, 105, 126, 97, 134, 143, 136, 140, 142, 129, 100, 123, 89)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 44)(25, 46)(26, 47)(27, 49)(30, 54)(33, 59)(34, 60)(35, 63)(36, 64)(38, 67)(41, 73)(42, 66)(43, 76)(45, 78)(48, 84)(50, 88)(51, 89)(52, 92)(53, 93)(55, 96)(56, 97)(57, 98)(58, 100)(61, 103)(62, 104)(65, 109)(68, 106)(69, 102)(70, 105)(71, 114)(72, 116)(74, 115)(75, 120)(77, 113)(79, 112)(80, 122)(81, 123)(82, 124)(83, 125)(85, 126)(86, 127)(87, 129)(90, 131)(91, 110)(94, 95)(99, 136)(101, 137)(107, 139)(108, 140)(111, 134)(117, 138)(118, 133)(119, 135)(121, 142)(128, 143)(130, 144)(132, 141)
	local type(s) :: { ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1969
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 72 f = 18
	degree seq :: [ 18^8 ]

E24.1969 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 18})
Quotient :: regular
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-4)^2, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
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, 77, 51, 34)(17, 35, 66, 85, 61, 76, 50, 36)(28, 55, 41, 72, 84, 96, 74, 56)(29, 57, 40, 71, 79, 95, 73, 58)(32, 62, 78, 54, 37, 69, 75, 59)(64, 87, 68, 92, 98, 118, 105, 88)(65, 89, 67, 91, 106, 117, 97, 90)(80, 99, 83, 104, 116, 113, 93, 100)(81, 101, 82, 103, 94, 114, 115, 102)(107, 125, 110, 130, 136, 131, 111, 126)(108, 127, 109, 129, 112, 132, 135, 128)(119, 137, 122, 142, 133, 143, 123, 138)(120, 139, 121, 141, 124, 144, 134, 140)
	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, 66)(44, 63)(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, 115)(96, 116)(99, 119)(100, 120)(101, 121)(102, 122)(103, 123)(104, 124)(113, 133)(114, 134)(117, 135)(118, 136)(125, 141)(126, 143)(127, 138)(128, 144)(129, 139)(130, 137)(131, 140)(132, 142)
	local type(s) :: { ( 18^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1968
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 18 e = 72 f = 8
	degree seq :: [ 8^18 ]

E24.1970 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 18})
Quotient :: edge
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|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^-1 * T1 * T2^-1)^2, (T2^-1 * T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * 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, 41, 72, 92, 109, 87, 62)(33, 64, 39, 71, 88, 110, 91, 65)(46, 73, 56, 84, 102, 119, 97, 74)(48, 76, 54, 83, 98, 120, 101, 77)(85, 105, 90, 112, 130, 113, 93, 106)(86, 107, 89, 111, 94, 114, 129, 108)(95, 115, 100, 122, 140, 123, 103, 116)(96, 117, 99, 121, 104, 124, 139, 118)(125, 142, 128, 144, 133, 136, 131, 137)(126, 141, 127, 135, 132, 138, 134, 143)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 169)(158, 173)(159, 175)(160, 177)(162, 181)(163, 183)(164, 185)(166, 189)(167, 190)(168, 192)(170, 196)(171, 198)(172, 200)(174, 204)(176, 203)(178, 195)(179, 201)(180, 193)(182, 197)(184, 202)(186, 194)(187, 199)(188, 191)(205, 229)(206, 230)(207, 232)(208, 233)(209, 234)(210, 236)(211, 224)(212, 223)(213, 235)(214, 231)(215, 237)(216, 238)(217, 239)(218, 240)(219, 242)(220, 243)(221, 244)(222, 246)(225, 245)(226, 241)(227, 247)(228, 248)(249, 269)(250, 270)(251, 271)(252, 272)(253, 274)(254, 273)(255, 275)(256, 276)(257, 277)(258, 278)(259, 279)(260, 280)(261, 281)(262, 282)(263, 284)(264, 283)(265, 285)(266, 286)(267, 287)(268, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 36, 36 ), ( 36^8 ) }
Outer automorphisms :: reflexible
Dual of E24.1974
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 8
	degree seq :: [ 2^72, 8^18 ]

E24.1971 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 18})
Quotient :: edge
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^2, (T2^-1 * T1 * T2^-1)^2, (T1^-1 * T2 * T1^-2)^2, T1^8, T1^-1 * T2^-1 * T1 * T2 * T1^-2 * T2^-2 * T1^-2, T1 * T2^-1 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2^-1, T2 * T1^-3 * T2^-2 * T1 * T2^6, T2^-1 * T1^-1 * T2^3 * T1^-2 * T2^3 * T1^-1 * T2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 58, 100, 132, 110, 73, 37, 72, 109, 140, 108, 71, 36, 15, 5)(2, 7, 19, 45, 85, 120, 127, 96, 66, 33, 67, 101, 133, 124, 92, 50, 22, 8)(4, 12, 30, 65, 104, 136, 112, 76, 39, 16, 38, 74, 111, 128, 95, 55, 24, 9)(6, 17, 40, 78, 114, 134, 102, 63, 29, 13, 32, 54, 94, 126, 116, 82, 43, 18)(11, 27, 14, 35, 69, 107, 139, 122, 91, 51, 86, 47, 88, 118, 131, 99, 57, 25)(20, 46, 21, 49, 90, 123, 137, 105, 68, 34, 60, 80, 56, 97, 129, 119, 84, 44)(23, 52, 93, 125, 138, 106, 70, 75, 59, 28, 61, 98, 130, 135, 103, 64, 31, 53)(41, 79, 42, 81, 115, 142, 144, 121, 89, 48, 87, 62, 83, 117, 143, 141, 113, 77)(145, 146, 150, 160, 181, 177, 157, 148)(147, 153, 167, 195, 216, 183, 172, 155)(149, 158, 178, 211, 217, 191, 164, 151)(152, 165, 192, 176, 210, 224, 185, 161)(154, 169, 200, 240, 253, 235, 193, 166)(156, 173, 206, 219, 182, 162, 186, 175)(159, 174, 208, 232, 254, 218, 214, 179)(163, 188, 227, 207, 245, 212, 225, 187)(168, 198, 233, 205, 220, 184, 221, 196)(170, 194, 222, 256, 284, 271, 238, 199)(171, 203, 231, 190, 230, 197, 223, 204)(180, 189, 226, 255, 276, 277, 246, 209)(201, 242, 265, 234, 266, 237, 257, 241)(202, 239, 269, 283, 252, 280, 274, 243)(213, 250, 261, 228, 262, 247, 259, 249)(215, 251, 281, 268, 244, 275, 263, 229)(236, 267, 288, 270, 264, 273, 285, 258)(248, 278, 287, 282, 272, 260, 286, 279)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1975
Transitivity :: ET+
Graph:: bipartite
	v = 26 e = 144 f = 72
	degree seq :: [ 8^18, 18^8 ]

E24.1972 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 18})
Quotient :: edge
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^3 * T2)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1)^2, (T1^-1 * T2 * T1^-1 * T2 * T1 * T2)^2, T1^2 * T2 * T1^-4 * T2 * T1^2 * T2 * T1^-1 * T2, (T2 * T1^-1)^8, T1^18 ]
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, 39)(20, 40)(22, 31)(23, 44)(25, 46)(26, 47)(27, 49)(30, 54)(33, 59)(34, 60)(35, 63)(36, 64)(38, 67)(41, 73)(42, 66)(43, 76)(45, 78)(48, 84)(50, 88)(51, 89)(52, 92)(53, 93)(55, 96)(56, 97)(57, 98)(58, 100)(61, 103)(62, 104)(65, 109)(68, 106)(69, 102)(70, 105)(71, 114)(72, 116)(74, 115)(75, 120)(77, 113)(79, 112)(80, 122)(81, 123)(82, 124)(83, 125)(85, 126)(86, 127)(87, 129)(90, 131)(91, 110)(94, 95)(99, 136)(101, 137)(107, 139)(108, 140)(111, 134)(117, 138)(118, 133)(119, 135)(121, 142)(128, 143)(130, 144)(132, 141)(145, 146, 149, 155, 167, 187, 219, 263, 281, 288, 283, 285, 262, 218, 186, 166, 154, 148)(147, 151, 159, 175, 199, 239, 277, 269, 232, 274, 258, 275, 264, 223, 189, 168, 162, 152)(150, 157, 171, 165, 185, 216, 259, 248, 266, 251, 208, 250, 279, 242, 221, 188, 174, 158)(153, 163, 182, 210, 254, 253, 276, 237, 203, 245, 271, 247, 220, 192, 170, 156, 169, 164)(160, 177, 202, 181, 209, 252, 256, 211, 255, 215, 184, 214, 227, 191, 226, 240, 205, 178)(161, 179, 206, 222, 261, 217, 234, 195, 172, 194, 231, 198, 238, 243, 201, 176, 200, 180)(173, 196, 235, 257, 213, 183, 212, 225, 190, 224, 265, 228, 260, 272, 230, 193, 229, 197)(204, 246, 282, 268, 236, 207, 249, 270, 241, 278, 287, 280, 284, 286, 273, 244, 267, 233)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^18 ) }
Outer automorphisms :: reflexible
Dual of E24.1973
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 144 f = 18
	degree seq :: [ 2^72, 18^8 ]

E24.1973 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 18})
Quotient :: loop
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|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^-1 * T1 * T2^-1)^2, (T2^-1 * T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 38, 182, 22, 166, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 26, 170, 53, 197, 30, 174, 14, 158, 6, 150)(7, 151, 15, 159, 32, 176, 63, 207, 45, 189, 66, 210, 34, 178, 16, 160)(9, 153, 19, 163, 40, 184, 70, 214, 37, 181, 69, 213, 42, 186, 20, 164)(11, 155, 23, 167, 47, 191, 75, 219, 60, 204, 78, 222, 49, 193, 24, 168)(13, 157, 27, 171, 55, 199, 82, 226, 52, 196, 81, 225, 57, 201, 28, 172)(17, 161, 35, 179, 67, 211, 44, 188, 21, 165, 43, 187, 68, 212, 36, 180)(25, 169, 50, 194, 79, 223, 59, 203, 29, 173, 58, 202, 80, 224, 51, 195)(31, 175, 61, 205, 41, 185, 72, 216, 92, 236, 109, 253, 87, 231, 62, 206)(33, 177, 64, 208, 39, 183, 71, 215, 88, 232, 110, 254, 91, 235, 65, 209)(46, 190, 73, 217, 56, 200, 84, 228, 102, 246, 119, 263, 97, 241, 74, 218)(48, 192, 76, 220, 54, 198, 83, 227, 98, 242, 120, 264, 101, 245, 77, 221)(85, 229, 105, 249, 90, 234, 112, 256, 130, 274, 113, 257, 93, 237, 106, 250)(86, 230, 107, 251, 89, 233, 111, 255, 94, 238, 114, 258, 129, 273, 108, 252)(95, 239, 115, 259, 100, 244, 122, 266, 140, 284, 123, 267, 103, 247, 116, 260)(96, 240, 117, 261, 99, 243, 121, 265, 104, 248, 124, 268, 139, 283, 118, 262)(125, 269, 142, 286, 128, 272, 144, 288, 133, 277, 136, 280, 131, 275, 137, 281)(126, 270, 141, 285, 127, 271, 135, 279, 132, 276, 138, 282, 134, 278, 143, 287)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 175)(16, 177)(17, 152)(18, 181)(19, 183)(20, 185)(21, 154)(22, 189)(23, 190)(24, 192)(25, 156)(26, 196)(27, 198)(28, 200)(29, 158)(30, 204)(31, 159)(32, 203)(33, 160)(34, 195)(35, 201)(36, 193)(37, 162)(38, 197)(39, 163)(40, 202)(41, 164)(42, 194)(43, 199)(44, 191)(45, 166)(46, 167)(47, 188)(48, 168)(49, 180)(50, 186)(51, 178)(52, 170)(53, 182)(54, 171)(55, 187)(56, 172)(57, 179)(58, 184)(59, 176)(60, 174)(61, 229)(62, 230)(63, 232)(64, 233)(65, 234)(66, 236)(67, 224)(68, 223)(69, 235)(70, 231)(71, 237)(72, 238)(73, 239)(74, 240)(75, 242)(76, 243)(77, 244)(78, 246)(79, 212)(80, 211)(81, 245)(82, 241)(83, 247)(84, 248)(85, 205)(86, 206)(87, 214)(88, 207)(89, 208)(90, 209)(91, 213)(92, 210)(93, 215)(94, 216)(95, 217)(96, 218)(97, 226)(98, 219)(99, 220)(100, 221)(101, 225)(102, 222)(103, 227)(104, 228)(105, 269)(106, 270)(107, 271)(108, 272)(109, 274)(110, 273)(111, 275)(112, 276)(113, 277)(114, 278)(115, 279)(116, 280)(117, 281)(118, 282)(119, 284)(120, 283)(121, 285)(122, 286)(123, 287)(124, 288)(125, 249)(126, 250)(127, 251)(128, 252)(129, 254)(130, 253)(131, 255)(132, 256)(133, 257)(134, 258)(135, 259)(136, 260)(137, 261)(138, 262)(139, 264)(140, 263)(141, 265)(142, 266)(143, 267)(144, 268)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1972
Transitivity :: ET+ VT+ AT
Graph::
	v = 18 e = 144 f = 80
	degree seq :: [ 16^18 ]

E24.1974 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 18})
Quotient :: loop
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^2, (T2^-1 * T1 * T2^-1)^2, (T1^-1 * T2 * T1^-2)^2, T1^8, T1^-1 * T2^-1 * T1 * T2 * T1^-2 * T2^-2 * T1^-2, T1 * T2^-1 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2^-1, T2 * T1^-3 * T2^-2 * T1 * T2^6, T2^-1 * T1^-1 * T2^3 * T1^-2 * T2^3 * T1^-1 * T2^-2 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 58, 202, 100, 244, 132, 276, 110, 254, 73, 217, 37, 181, 72, 216, 109, 253, 140, 284, 108, 252, 71, 215, 36, 180, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 45, 189, 85, 229, 120, 264, 127, 271, 96, 240, 66, 210, 33, 177, 67, 211, 101, 245, 133, 277, 124, 268, 92, 236, 50, 194, 22, 166, 8, 152)(4, 148, 12, 156, 30, 174, 65, 209, 104, 248, 136, 280, 112, 256, 76, 220, 39, 183, 16, 160, 38, 182, 74, 218, 111, 255, 128, 272, 95, 239, 55, 199, 24, 168, 9, 153)(6, 150, 17, 161, 40, 184, 78, 222, 114, 258, 134, 278, 102, 246, 63, 207, 29, 173, 13, 157, 32, 176, 54, 198, 94, 238, 126, 270, 116, 260, 82, 226, 43, 187, 18, 162)(11, 155, 27, 171, 14, 158, 35, 179, 69, 213, 107, 251, 139, 283, 122, 266, 91, 235, 51, 195, 86, 230, 47, 191, 88, 232, 118, 262, 131, 275, 99, 243, 57, 201, 25, 169)(20, 164, 46, 190, 21, 165, 49, 193, 90, 234, 123, 267, 137, 281, 105, 249, 68, 212, 34, 178, 60, 204, 80, 224, 56, 200, 97, 241, 129, 273, 119, 263, 84, 228, 44, 188)(23, 167, 52, 196, 93, 237, 125, 269, 138, 282, 106, 250, 70, 214, 75, 219, 59, 203, 28, 172, 61, 205, 98, 242, 130, 274, 135, 279, 103, 247, 64, 208, 31, 175, 53, 197)(41, 185, 79, 223, 42, 186, 81, 225, 115, 259, 142, 286, 144, 288, 121, 265, 89, 233, 48, 192, 87, 231, 62, 206, 83, 227, 117, 261, 143, 287, 141, 285, 113, 257, 77, 221)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 173)(13, 148)(14, 178)(15, 174)(16, 181)(17, 152)(18, 186)(19, 188)(20, 151)(21, 192)(22, 154)(23, 195)(24, 198)(25, 200)(26, 194)(27, 203)(28, 155)(29, 206)(30, 208)(31, 156)(32, 210)(33, 157)(34, 211)(35, 159)(36, 189)(37, 177)(38, 162)(39, 172)(40, 221)(41, 161)(42, 175)(43, 163)(44, 227)(45, 226)(46, 230)(47, 164)(48, 176)(49, 166)(50, 222)(51, 216)(52, 168)(53, 223)(54, 233)(55, 170)(56, 240)(57, 242)(58, 239)(59, 231)(60, 171)(61, 220)(62, 219)(63, 245)(64, 232)(65, 180)(66, 224)(67, 217)(68, 225)(69, 250)(70, 179)(71, 251)(72, 183)(73, 191)(74, 214)(75, 182)(76, 184)(77, 196)(78, 256)(79, 204)(80, 185)(81, 187)(82, 255)(83, 207)(84, 262)(85, 215)(86, 197)(87, 190)(88, 254)(89, 205)(90, 266)(91, 193)(92, 267)(93, 257)(94, 199)(95, 269)(96, 253)(97, 201)(98, 265)(99, 202)(100, 275)(101, 212)(102, 209)(103, 259)(104, 278)(105, 213)(106, 261)(107, 281)(108, 280)(109, 235)(110, 218)(111, 276)(112, 284)(113, 241)(114, 236)(115, 249)(116, 286)(117, 228)(118, 247)(119, 229)(120, 273)(121, 234)(122, 237)(123, 288)(124, 244)(125, 283)(126, 264)(127, 238)(128, 260)(129, 285)(130, 243)(131, 263)(132, 277)(133, 246)(134, 287)(135, 248)(136, 274)(137, 268)(138, 272)(139, 252)(140, 271)(141, 258)(142, 279)(143, 282)(144, 270)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.1970
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 144 f = 90
	degree seq :: [ 36^8 ]

E24.1975 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 18})
Quotient :: loop
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^3 * T2)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1)^2, (T1^-1 * T2 * T1^-1 * T2 * T1 * T2)^2, T1^2 * T2 * T1^-4 * T2 * T1^2 * T2 * T1^-1 * T2, (T2 * T1^-1)^8, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 40, 184)(22, 166, 31, 175)(23, 167, 44, 188)(25, 169, 46, 190)(26, 170, 47, 191)(27, 171, 49, 193)(30, 174, 54, 198)(33, 177, 59, 203)(34, 178, 60, 204)(35, 179, 63, 207)(36, 180, 64, 208)(38, 182, 67, 211)(41, 185, 73, 217)(42, 186, 66, 210)(43, 187, 76, 220)(45, 189, 78, 222)(48, 192, 84, 228)(50, 194, 88, 232)(51, 195, 89, 233)(52, 196, 92, 236)(53, 197, 93, 237)(55, 199, 96, 240)(56, 200, 97, 241)(57, 201, 98, 242)(58, 202, 100, 244)(61, 205, 103, 247)(62, 206, 104, 248)(65, 209, 109, 253)(68, 212, 106, 250)(69, 213, 102, 246)(70, 214, 105, 249)(71, 215, 114, 258)(72, 216, 116, 260)(74, 218, 115, 259)(75, 219, 120, 264)(77, 221, 113, 257)(79, 223, 112, 256)(80, 224, 122, 266)(81, 225, 123, 267)(82, 226, 124, 268)(83, 227, 125, 269)(85, 229, 126, 270)(86, 230, 127, 271)(87, 231, 129, 273)(90, 234, 131, 275)(91, 235, 110, 254)(94, 238, 95, 239)(99, 243, 136, 280)(101, 245, 137, 281)(107, 251, 139, 283)(108, 252, 140, 284)(111, 255, 134, 278)(117, 261, 138, 282)(118, 262, 133, 277)(119, 263, 135, 279)(121, 265, 142, 286)(128, 272, 143, 287)(130, 274, 144, 288)(132, 276, 141, 285)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 182)(20, 153)(21, 185)(22, 154)(23, 187)(24, 162)(25, 164)(26, 156)(27, 165)(28, 194)(29, 196)(30, 158)(31, 199)(32, 200)(33, 202)(34, 160)(35, 206)(36, 161)(37, 209)(38, 210)(39, 212)(40, 214)(41, 216)(42, 166)(43, 219)(44, 174)(45, 168)(46, 224)(47, 226)(48, 170)(49, 229)(50, 231)(51, 172)(52, 235)(53, 173)(54, 238)(55, 239)(56, 180)(57, 176)(58, 181)(59, 245)(60, 246)(61, 178)(62, 222)(63, 249)(64, 250)(65, 252)(66, 254)(67, 255)(68, 225)(69, 183)(70, 227)(71, 184)(72, 259)(73, 234)(74, 186)(75, 263)(76, 192)(77, 188)(78, 261)(79, 189)(80, 265)(81, 190)(82, 240)(83, 191)(84, 260)(85, 197)(86, 193)(87, 198)(88, 274)(89, 204)(90, 195)(91, 257)(92, 207)(93, 203)(94, 243)(95, 277)(96, 205)(97, 278)(98, 221)(99, 201)(100, 267)(101, 271)(102, 282)(103, 220)(104, 266)(105, 270)(106, 279)(107, 208)(108, 256)(109, 276)(110, 253)(111, 215)(112, 211)(113, 213)(114, 275)(115, 248)(116, 272)(117, 217)(118, 218)(119, 281)(120, 223)(121, 228)(122, 251)(123, 233)(124, 236)(125, 232)(126, 241)(127, 247)(128, 230)(129, 244)(130, 258)(131, 264)(132, 237)(133, 269)(134, 287)(135, 242)(136, 284)(137, 288)(138, 268)(139, 285)(140, 286)(141, 262)(142, 273)(143, 280)(144, 283)
	local type(s) :: { ( 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E24.1971
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 144 f = 26
	degree seq :: [ 4^72 ]

E24.1976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y2^-2 * R * Y2^-2)^2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 46, 190)(24, 168, 48, 192)(26, 170, 52, 196)(27, 171, 54, 198)(28, 172, 56, 200)(30, 174, 60, 204)(32, 176, 59, 203)(34, 178, 51, 195)(35, 179, 57, 201)(36, 180, 49, 193)(38, 182, 53, 197)(40, 184, 58, 202)(42, 186, 50, 194)(43, 187, 55, 199)(44, 188, 47, 191)(61, 205, 85, 229)(62, 206, 86, 230)(63, 207, 88, 232)(64, 208, 89, 233)(65, 209, 90, 234)(66, 210, 92, 236)(67, 211, 80, 224)(68, 212, 79, 223)(69, 213, 91, 235)(70, 214, 87, 231)(71, 215, 93, 237)(72, 216, 94, 238)(73, 217, 95, 239)(74, 218, 96, 240)(75, 219, 98, 242)(76, 220, 99, 243)(77, 221, 100, 244)(78, 222, 102, 246)(81, 225, 101, 245)(82, 226, 97, 241)(83, 227, 103, 247)(84, 228, 104, 248)(105, 249, 125, 269)(106, 250, 126, 270)(107, 251, 127, 271)(108, 252, 128, 272)(109, 253, 130, 274)(110, 254, 129, 273)(111, 255, 131, 275)(112, 256, 132, 276)(113, 257, 133, 277)(114, 258, 134, 278)(115, 259, 135, 279)(116, 260, 136, 280)(117, 261, 137, 281)(118, 262, 138, 282)(119, 263, 140, 284)(120, 264, 139, 283)(121, 265, 141, 285)(122, 266, 142, 286)(123, 267, 143, 287)(124, 268, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 341, 485, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 351, 495, 333, 477, 354, 498, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 358, 502, 325, 469, 357, 501, 330, 474, 308, 452)(299, 443, 311, 455, 335, 479, 363, 507, 348, 492, 366, 510, 337, 481, 312, 456)(301, 445, 315, 459, 343, 487, 370, 514, 340, 484, 369, 513, 345, 489, 316, 460)(305, 449, 323, 467, 355, 499, 332, 476, 309, 453, 331, 475, 356, 500, 324, 468)(313, 457, 338, 482, 367, 511, 347, 491, 317, 461, 346, 490, 368, 512, 339, 483)(319, 463, 349, 493, 329, 473, 360, 504, 380, 524, 397, 541, 375, 519, 350, 494)(321, 465, 352, 496, 327, 471, 359, 503, 376, 520, 398, 542, 379, 523, 353, 497)(334, 478, 361, 505, 344, 488, 372, 516, 390, 534, 407, 551, 385, 529, 362, 506)(336, 480, 364, 508, 342, 486, 371, 515, 386, 530, 408, 552, 389, 533, 365, 509)(373, 517, 393, 537, 378, 522, 400, 544, 418, 562, 401, 545, 381, 525, 394, 538)(374, 518, 395, 539, 377, 521, 399, 543, 382, 526, 402, 546, 417, 561, 396, 540)(383, 527, 403, 547, 388, 532, 410, 554, 428, 572, 411, 555, 391, 535, 404, 548)(384, 528, 405, 549, 387, 531, 409, 553, 392, 536, 412, 556, 427, 571, 406, 550)(413, 557, 430, 574, 416, 560, 432, 576, 421, 565, 424, 568, 419, 563, 425, 569)(414, 558, 429, 573, 415, 559, 423, 567, 420, 564, 426, 570, 422, 566, 431, 575)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 334)(24, 336)(25, 300)(26, 340)(27, 342)(28, 344)(29, 302)(30, 348)(31, 303)(32, 347)(33, 304)(34, 339)(35, 345)(36, 337)(37, 306)(38, 341)(39, 307)(40, 346)(41, 308)(42, 338)(43, 343)(44, 335)(45, 310)(46, 311)(47, 332)(48, 312)(49, 324)(50, 330)(51, 322)(52, 314)(53, 326)(54, 315)(55, 331)(56, 316)(57, 323)(58, 328)(59, 320)(60, 318)(61, 373)(62, 374)(63, 376)(64, 377)(65, 378)(66, 380)(67, 368)(68, 367)(69, 379)(70, 375)(71, 381)(72, 382)(73, 383)(74, 384)(75, 386)(76, 387)(77, 388)(78, 390)(79, 356)(80, 355)(81, 389)(82, 385)(83, 391)(84, 392)(85, 349)(86, 350)(87, 358)(88, 351)(89, 352)(90, 353)(91, 357)(92, 354)(93, 359)(94, 360)(95, 361)(96, 362)(97, 370)(98, 363)(99, 364)(100, 365)(101, 369)(102, 366)(103, 371)(104, 372)(105, 413)(106, 414)(107, 415)(108, 416)(109, 418)(110, 417)(111, 419)(112, 420)(113, 421)(114, 422)(115, 423)(116, 424)(117, 425)(118, 426)(119, 428)(120, 427)(121, 429)(122, 430)(123, 431)(124, 432)(125, 393)(126, 394)(127, 395)(128, 396)(129, 398)(130, 397)(131, 399)(132, 400)(133, 401)(134, 402)(135, 403)(136, 404)(137, 405)(138, 406)(139, 408)(140, 407)(141, 409)(142, 410)(143, 411)(144, 412)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1979
Graph:: bipartite
	v = 90 e = 288 f = 152
	degree seq :: [ 4^72, 16^18 ]

E24.1977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y1^-1 * Y2 * Y1^-2)^2, Y1^8, Y1 * Y2^-1 * Y1^2 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-2 * Y2^-2 * Y1^-2, Y2 * Y1^-3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-4 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 37, 181, 33, 177, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 51, 195, 72, 216, 39, 183, 28, 172, 11, 155)(5, 149, 14, 158, 34, 178, 67, 211, 73, 217, 47, 191, 20, 164, 7, 151)(8, 152, 21, 165, 48, 192, 32, 176, 66, 210, 80, 224, 41, 185, 17, 161)(10, 154, 25, 169, 56, 200, 96, 240, 109, 253, 91, 235, 49, 193, 22, 166)(12, 156, 29, 173, 62, 206, 75, 219, 38, 182, 18, 162, 42, 186, 31, 175)(15, 159, 30, 174, 64, 208, 88, 232, 110, 254, 74, 218, 70, 214, 35, 179)(19, 163, 44, 188, 83, 227, 63, 207, 101, 245, 68, 212, 81, 225, 43, 187)(24, 168, 54, 198, 89, 233, 61, 205, 76, 220, 40, 184, 77, 221, 52, 196)(26, 170, 50, 194, 78, 222, 112, 256, 140, 284, 127, 271, 94, 238, 55, 199)(27, 171, 59, 203, 87, 231, 46, 190, 86, 230, 53, 197, 79, 223, 60, 204)(36, 180, 45, 189, 82, 226, 111, 255, 132, 276, 133, 277, 102, 246, 65, 209)(57, 201, 98, 242, 121, 265, 90, 234, 122, 266, 93, 237, 113, 257, 97, 241)(58, 202, 95, 239, 125, 269, 139, 283, 108, 252, 136, 280, 130, 274, 99, 243)(69, 213, 106, 250, 117, 261, 84, 228, 118, 262, 103, 247, 115, 259, 105, 249)(71, 215, 107, 251, 137, 281, 124, 268, 100, 244, 131, 275, 119, 263, 85, 229)(92, 236, 123, 267, 144, 288, 126, 270, 120, 264, 129, 273, 141, 285, 114, 258)(104, 248, 134, 278, 143, 287, 138, 282, 128, 272, 116, 260, 142, 286, 135, 279)(289, 433, 291, 435, 298, 442, 314, 458, 346, 490, 388, 532, 420, 564, 398, 542, 361, 505, 325, 469, 360, 504, 397, 541, 428, 572, 396, 540, 359, 503, 324, 468, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 333, 477, 373, 517, 408, 552, 415, 559, 384, 528, 354, 498, 321, 465, 355, 499, 389, 533, 421, 565, 412, 556, 380, 524, 338, 482, 310, 454, 296, 440)(292, 436, 300, 444, 318, 462, 353, 497, 392, 536, 424, 568, 400, 544, 364, 508, 327, 471, 304, 448, 326, 470, 362, 506, 399, 543, 416, 560, 383, 527, 343, 487, 312, 456, 297, 441)(294, 438, 305, 449, 328, 472, 366, 510, 402, 546, 422, 566, 390, 534, 351, 495, 317, 461, 301, 445, 320, 464, 342, 486, 382, 526, 414, 558, 404, 548, 370, 514, 331, 475, 306, 450)(299, 443, 315, 459, 302, 446, 323, 467, 357, 501, 395, 539, 427, 571, 410, 554, 379, 523, 339, 483, 374, 518, 335, 479, 376, 520, 406, 550, 419, 563, 387, 531, 345, 489, 313, 457)(308, 452, 334, 478, 309, 453, 337, 481, 378, 522, 411, 555, 425, 569, 393, 537, 356, 500, 322, 466, 348, 492, 368, 512, 344, 488, 385, 529, 417, 561, 407, 551, 372, 516, 332, 476)(311, 455, 340, 484, 381, 525, 413, 557, 426, 570, 394, 538, 358, 502, 363, 507, 347, 491, 316, 460, 349, 493, 386, 530, 418, 562, 423, 567, 391, 535, 352, 496, 319, 463, 341, 485)(329, 473, 367, 511, 330, 474, 369, 513, 403, 547, 430, 574, 432, 576, 409, 553, 377, 521, 336, 480, 375, 519, 350, 494, 371, 515, 405, 549, 431, 575, 429, 573, 401, 545, 365, 509)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 315)(12, 318)(13, 320)(14, 323)(15, 293)(16, 326)(17, 328)(18, 294)(19, 333)(20, 334)(21, 337)(22, 296)(23, 340)(24, 297)(25, 299)(26, 346)(27, 302)(28, 349)(29, 301)(30, 353)(31, 341)(32, 342)(33, 355)(34, 348)(35, 357)(36, 303)(37, 360)(38, 362)(39, 304)(40, 366)(41, 367)(42, 369)(43, 306)(44, 308)(45, 373)(46, 309)(47, 376)(48, 375)(49, 378)(50, 310)(51, 374)(52, 381)(53, 311)(54, 382)(55, 312)(56, 385)(57, 313)(58, 388)(59, 316)(60, 368)(61, 386)(62, 371)(63, 317)(64, 319)(65, 392)(66, 321)(67, 389)(68, 322)(69, 395)(70, 363)(71, 324)(72, 397)(73, 325)(74, 399)(75, 347)(76, 327)(77, 329)(78, 402)(79, 330)(80, 344)(81, 403)(82, 331)(83, 405)(84, 332)(85, 408)(86, 335)(87, 350)(88, 406)(89, 336)(90, 411)(91, 339)(92, 338)(93, 413)(94, 414)(95, 343)(96, 354)(97, 417)(98, 418)(99, 345)(100, 420)(101, 421)(102, 351)(103, 352)(104, 424)(105, 356)(106, 358)(107, 427)(108, 359)(109, 428)(110, 361)(111, 416)(112, 364)(113, 365)(114, 422)(115, 430)(116, 370)(117, 431)(118, 419)(119, 372)(120, 415)(121, 377)(122, 379)(123, 425)(124, 380)(125, 426)(126, 404)(127, 384)(128, 383)(129, 407)(130, 423)(131, 387)(132, 398)(133, 412)(134, 390)(135, 391)(136, 400)(137, 393)(138, 394)(139, 410)(140, 396)(141, 401)(142, 432)(143, 429)(144, 409)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.1978
Graph:: bipartite
	v = 26 e = 288 f = 216
	degree seq :: [ 16^18, 36^8 ]

E24.1978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, (Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3)^2, (Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2)^2, Y3 * Y2 * Y3^-4 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3, (Y3 * Y2)^8, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 318, 462)(307, 451, 326, 470)(308, 452, 328, 472)(310, 454, 314, 458)(311, 455, 331, 475)(312, 456, 333, 477)(315, 459, 338, 482)(316, 460, 340, 484)(320, 464, 345, 489)(322, 466, 348, 492)(323, 467, 350, 494)(324, 468, 351, 495)(325, 469, 349, 493)(327, 471, 356, 500)(329, 473, 360, 504)(330, 474, 357, 501)(332, 476, 365, 509)(334, 478, 368, 512)(335, 479, 370, 514)(336, 480, 371, 515)(337, 481, 369, 513)(339, 483, 376, 520)(341, 485, 380, 524)(342, 486, 377, 521)(343, 487, 383, 527)(344, 488, 367, 511)(346, 490, 375, 519)(347, 491, 364, 508)(352, 496, 395, 539)(353, 497, 396, 540)(354, 498, 378, 522)(355, 499, 366, 510)(358, 502, 374, 518)(359, 503, 402, 546)(361, 505, 404, 548)(362, 506, 405, 549)(363, 507, 407, 551)(372, 516, 416, 560)(373, 517, 389, 533)(379, 523, 420, 564)(381, 525, 421, 565)(382, 526, 400, 544)(384, 528, 411, 555)(385, 529, 425, 569)(386, 530, 414, 558)(387, 531, 408, 552)(388, 532, 401, 545)(390, 534, 398, 542)(391, 535, 419, 563)(392, 536, 410, 554)(393, 537, 418, 562)(394, 538, 424, 568)(397, 541, 422, 566)(399, 543, 413, 557)(403, 547, 412, 556)(406, 550, 417, 561)(409, 553, 429, 573)(415, 559, 428, 572)(423, 567, 430, 574)(426, 570, 432, 576)(427, 571, 431, 575)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 325)(19, 327)(20, 297)(21, 329)(22, 298)(23, 332)(24, 299)(25, 335)(26, 337)(27, 339)(28, 301)(29, 341)(30, 302)(31, 343)(32, 309)(33, 346)(34, 304)(35, 308)(36, 305)(37, 353)(38, 354)(39, 357)(40, 358)(41, 361)(42, 310)(43, 363)(44, 317)(45, 366)(46, 312)(47, 316)(48, 313)(49, 373)(50, 374)(51, 377)(52, 378)(53, 381)(54, 318)(55, 384)(56, 319)(57, 386)(58, 388)(59, 321)(60, 389)(61, 322)(62, 391)(63, 393)(64, 324)(65, 397)(66, 392)(67, 326)(68, 399)(69, 401)(70, 394)(71, 328)(72, 385)(73, 405)(74, 330)(75, 408)(76, 331)(77, 410)(78, 412)(79, 333)(80, 396)(81, 334)(82, 413)(83, 390)(84, 336)(85, 417)(86, 414)(87, 338)(88, 419)(89, 403)(90, 415)(91, 340)(92, 409)(93, 400)(94, 342)(95, 423)(96, 348)(97, 344)(98, 347)(99, 345)(100, 398)(101, 372)(102, 349)(103, 427)(104, 350)(105, 369)(106, 351)(107, 404)(108, 352)(109, 428)(110, 355)(111, 359)(112, 356)(113, 380)(114, 425)(115, 360)(116, 426)(117, 376)(118, 362)(119, 430)(120, 368)(121, 364)(122, 367)(123, 365)(124, 418)(125, 432)(126, 370)(127, 371)(128, 421)(129, 424)(130, 375)(131, 379)(132, 429)(133, 431)(134, 382)(135, 402)(136, 383)(137, 422)(138, 387)(139, 395)(140, 407)(141, 406)(142, 420)(143, 411)(144, 416)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 36 ), ( 16, 36, 16, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1977
Graph:: simple bipartite
	v = 216 e = 288 f = 26
	degree seq :: [ 2^144, 4^72 ]

E24.1979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^3 * Y3)^2, (Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1)^2, Y1 * Y3 * Y1^-5 * Y3 * Y1 * Y3 * Y1^-2 * Y3, (Y3 * Y1^-1)^8, Y1^18 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 43, 187, 75, 219, 119, 263, 137, 281, 144, 288, 139, 283, 141, 285, 118, 262, 74, 218, 42, 186, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 55, 199, 95, 239, 133, 277, 125, 269, 88, 232, 130, 274, 114, 258, 131, 275, 120, 264, 79, 223, 45, 189, 24, 168, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 21, 165, 41, 185, 72, 216, 115, 259, 104, 248, 122, 266, 107, 251, 64, 208, 106, 250, 135, 279, 98, 242, 77, 221, 44, 188, 30, 174, 14, 158)(9, 153, 19, 163, 38, 182, 66, 210, 110, 254, 109, 253, 132, 276, 93, 237, 59, 203, 101, 245, 127, 271, 103, 247, 76, 220, 48, 192, 26, 170, 12, 156, 25, 169, 20, 164)(16, 160, 33, 177, 58, 202, 37, 181, 65, 209, 108, 252, 112, 256, 67, 211, 111, 255, 71, 215, 40, 184, 70, 214, 83, 227, 47, 191, 82, 226, 96, 240, 61, 205, 34, 178)(17, 161, 35, 179, 62, 206, 78, 222, 117, 261, 73, 217, 90, 234, 51, 195, 28, 172, 50, 194, 87, 231, 54, 198, 94, 238, 99, 243, 57, 201, 32, 176, 56, 200, 36, 180)(29, 173, 52, 196, 91, 235, 113, 257, 69, 213, 39, 183, 68, 212, 81, 225, 46, 190, 80, 224, 121, 265, 84, 228, 116, 260, 128, 272, 86, 230, 49, 193, 85, 229, 53, 197)(60, 204, 102, 246, 138, 282, 124, 268, 92, 236, 63, 207, 105, 249, 126, 270, 97, 241, 134, 278, 143, 287, 136, 280, 140, 284, 142, 286, 129, 273, 100, 244, 123, 267, 89, 233)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 327)(20, 328)(21, 298)(22, 319)(23, 332)(24, 299)(25, 334)(26, 335)(27, 337)(28, 301)(29, 302)(30, 342)(31, 310)(32, 303)(33, 347)(34, 348)(35, 351)(36, 352)(37, 306)(38, 355)(39, 307)(40, 308)(41, 361)(42, 354)(43, 364)(44, 311)(45, 366)(46, 313)(47, 314)(48, 372)(49, 315)(50, 376)(51, 377)(52, 380)(53, 381)(54, 318)(55, 384)(56, 385)(57, 386)(58, 388)(59, 321)(60, 322)(61, 391)(62, 392)(63, 323)(64, 324)(65, 397)(66, 330)(67, 326)(68, 394)(69, 390)(70, 393)(71, 402)(72, 404)(73, 329)(74, 403)(75, 408)(76, 331)(77, 401)(78, 333)(79, 400)(80, 410)(81, 411)(82, 412)(83, 413)(84, 336)(85, 414)(86, 415)(87, 417)(88, 338)(89, 339)(90, 419)(91, 398)(92, 340)(93, 341)(94, 383)(95, 382)(96, 343)(97, 344)(98, 345)(99, 424)(100, 346)(101, 425)(102, 357)(103, 349)(104, 350)(105, 358)(106, 356)(107, 427)(108, 428)(109, 353)(110, 379)(111, 422)(112, 367)(113, 365)(114, 359)(115, 362)(116, 360)(117, 426)(118, 421)(119, 423)(120, 363)(121, 430)(122, 368)(123, 369)(124, 370)(125, 371)(126, 373)(127, 374)(128, 431)(129, 375)(130, 432)(131, 378)(132, 429)(133, 406)(134, 399)(135, 407)(136, 387)(137, 389)(138, 405)(139, 395)(140, 396)(141, 420)(142, 409)(143, 416)(144, 418)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 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 E24.1976
Graph:: simple bipartite
	v = 152 e = 288 f = 90
	degree seq :: [ 2^144, 36^8 ]

E24.1980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^2 * Y1 * R * Y2^2 * R, (R * Y2^-2 * Y1)^2, (Y2^3 * Y1)^2, Y2^-2 * R * Y2^3 * R * Y2^-1, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^-4 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 30, 174)(19, 163, 38, 182)(20, 164, 40, 184)(22, 166, 26, 170)(23, 167, 43, 187)(24, 168, 45, 189)(27, 171, 50, 194)(28, 172, 52, 196)(32, 176, 57, 201)(34, 178, 60, 204)(35, 179, 62, 206)(36, 180, 63, 207)(37, 181, 61, 205)(39, 183, 68, 212)(41, 185, 72, 216)(42, 186, 69, 213)(44, 188, 77, 221)(46, 190, 80, 224)(47, 191, 82, 226)(48, 192, 83, 227)(49, 193, 81, 225)(51, 195, 88, 232)(53, 197, 92, 236)(54, 198, 89, 233)(55, 199, 95, 239)(56, 200, 79, 223)(58, 202, 87, 231)(59, 203, 76, 220)(64, 208, 107, 251)(65, 209, 108, 252)(66, 210, 90, 234)(67, 211, 78, 222)(70, 214, 86, 230)(71, 215, 114, 258)(73, 217, 116, 260)(74, 218, 117, 261)(75, 219, 119, 263)(84, 228, 128, 272)(85, 229, 101, 245)(91, 235, 132, 276)(93, 237, 133, 277)(94, 238, 112, 256)(96, 240, 123, 267)(97, 241, 137, 281)(98, 242, 126, 270)(99, 243, 120, 264)(100, 244, 113, 257)(102, 246, 110, 254)(103, 247, 131, 275)(104, 248, 122, 266)(105, 249, 130, 274)(106, 250, 136, 280)(109, 253, 134, 278)(111, 255, 125, 269)(115, 259, 124, 268)(118, 262, 129, 273)(121, 265, 141, 285)(127, 271, 140, 284)(135, 279, 142, 286)(138, 282, 144, 288)(139, 283, 143, 287)(289, 433, 291, 435, 296, 440, 306, 450, 325, 469, 353, 497, 397, 541, 428, 572, 407, 551, 430, 574, 420, 564, 429, 573, 406, 550, 362, 506, 330, 474, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 337, 481, 373, 517, 417, 561, 424, 568, 383, 527, 423, 567, 402, 546, 425, 569, 422, 566, 382, 526, 342, 486, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 309, 453, 329, 473, 361, 505, 405, 549, 376, 520, 419, 563, 379, 523, 340, 484, 378, 522, 415, 559, 371, 515, 390, 534, 349, 493, 322, 466, 304, 448)(297, 441, 307, 451, 327, 471, 357, 501, 401, 545, 380, 524, 409, 553, 364, 508, 331, 475, 363, 507, 408, 552, 368, 512, 396, 540, 352, 496, 324, 468, 305, 449, 323, 467, 308, 452)(299, 443, 311, 455, 332, 476, 317, 461, 341, 485, 381, 525, 400, 544, 356, 500, 399, 543, 359, 503, 328, 472, 358, 502, 394, 538, 351, 495, 393, 537, 369, 513, 334, 478, 312, 456)(301, 445, 315, 459, 339, 483, 377, 521, 403, 547, 360, 504, 385, 529, 344, 488, 319, 463, 343, 487, 384, 528, 348, 492, 389, 533, 372, 516, 336, 480, 313, 457, 335, 479, 316, 460)(321, 465, 346, 490, 388, 532, 398, 542, 355, 499, 326, 470, 354, 498, 392, 536, 350, 494, 391, 535, 427, 571, 395, 539, 404, 548, 426, 570, 387, 531, 345, 489, 386, 530, 347, 491)(333, 477, 366, 510, 412, 556, 418, 562, 375, 519, 338, 482, 374, 518, 414, 558, 370, 514, 413, 557, 432, 576, 416, 560, 421, 565, 431, 575, 411, 555, 365, 509, 410, 554, 367, 511)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 318)(19, 326)(20, 328)(21, 298)(22, 314)(23, 331)(24, 333)(25, 300)(26, 310)(27, 338)(28, 340)(29, 302)(30, 306)(31, 303)(32, 345)(33, 304)(34, 348)(35, 350)(36, 351)(37, 349)(38, 307)(39, 356)(40, 308)(41, 360)(42, 357)(43, 311)(44, 365)(45, 312)(46, 368)(47, 370)(48, 371)(49, 369)(50, 315)(51, 376)(52, 316)(53, 380)(54, 377)(55, 383)(56, 367)(57, 320)(58, 375)(59, 364)(60, 322)(61, 325)(62, 323)(63, 324)(64, 395)(65, 396)(66, 378)(67, 366)(68, 327)(69, 330)(70, 374)(71, 402)(72, 329)(73, 404)(74, 405)(75, 407)(76, 347)(77, 332)(78, 355)(79, 344)(80, 334)(81, 337)(82, 335)(83, 336)(84, 416)(85, 389)(86, 358)(87, 346)(88, 339)(89, 342)(90, 354)(91, 420)(92, 341)(93, 421)(94, 400)(95, 343)(96, 411)(97, 425)(98, 414)(99, 408)(100, 401)(101, 373)(102, 398)(103, 419)(104, 410)(105, 418)(106, 424)(107, 352)(108, 353)(109, 422)(110, 390)(111, 413)(112, 382)(113, 388)(114, 359)(115, 412)(116, 361)(117, 362)(118, 417)(119, 363)(120, 387)(121, 429)(122, 392)(123, 384)(124, 403)(125, 399)(126, 386)(127, 428)(128, 372)(129, 406)(130, 393)(131, 391)(132, 379)(133, 381)(134, 397)(135, 430)(136, 394)(137, 385)(138, 432)(139, 431)(140, 415)(141, 409)(142, 423)(143, 427)(144, 426)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E24.1981
Graph:: bipartite
	v = 80 e = 288 f = 162
	degree seq :: [ 4^72, 36^8 ]

E24.1981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 18})
Quotient :: dipole
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1^-1 * Y3 * Y1^-2)^2, Y1^8, Y1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3^-2 * Y1^-2, Y3^-1 * Y1^-1 * Y3^3 * Y1^-2 * Y3^3 * Y1^-1 * Y3^-2, Y3 * Y1^-3 * Y3^-2 * Y1 * Y3^6, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 37, 181, 33, 177, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 51, 195, 72, 216, 39, 183, 28, 172, 11, 155)(5, 149, 14, 158, 34, 178, 67, 211, 73, 217, 47, 191, 20, 164, 7, 151)(8, 152, 21, 165, 48, 192, 32, 176, 66, 210, 80, 224, 41, 185, 17, 161)(10, 154, 25, 169, 56, 200, 96, 240, 109, 253, 91, 235, 49, 193, 22, 166)(12, 156, 29, 173, 62, 206, 75, 219, 38, 182, 18, 162, 42, 186, 31, 175)(15, 159, 30, 174, 64, 208, 88, 232, 110, 254, 74, 218, 70, 214, 35, 179)(19, 163, 44, 188, 83, 227, 63, 207, 101, 245, 68, 212, 81, 225, 43, 187)(24, 168, 54, 198, 89, 233, 61, 205, 76, 220, 40, 184, 77, 221, 52, 196)(26, 170, 50, 194, 78, 222, 112, 256, 140, 284, 127, 271, 94, 238, 55, 199)(27, 171, 59, 203, 87, 231, 46, 190, 86, 230, 53, 197, 79, 223, 60, 204)(36, 180, 45, 189, 82, 226, 111, 255, 132, 276, 133, 277, 102, 246, 65, 209)(57, 201, 98, 242, 121, 265, 90, 234, 122, 266, 93, 237, 113, 257, 97, 241)(58, 202, 95, 239, 125, 269, 139, 283, 108, 252, 136, 280, 130, 274, 99, 243)(69, 213, 106, 250, 117, 261, 84, 228, 118, 262, 103, 247, 115, 259, 105, 249)(71, 215, 107, 251, 137, 281, 124, 268, 100, 244, 131, 275, 119, 263, 85, 229)(92, 236, 123, 267, 144, 288, 126, 270, 120, 264, 129, 273, 141, 285, 114, 258)(104, 248, 134, 278, 143, 287, 138, 282, 128, 272, 116, 260, 142, 286, 135, 279)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 315)(12, 318)(13, 320)(14, 323)(15, 293)(16, 326)(17, 328)(18, 294)(19, 333)(20, 334)(21, 337)(22, 296)(23, 340)(24, 297)(25, 299)(26, 346)(27, 302)(28, 349)(29, 301)(30, 353)(31, 341)(32, 342)(33, 355)(34, 348)(35, 357)(36, 303)(37, 360)(38, 362)(39, 304)(40, 366)(41, 367)(42, 369)(43, 306)(44, 308)(45, 373)(46, 309)(47, 376)(48, 375)(49, 378)(50, 310)(51, 374)(52, 381)(53, 311)(54, 382)(55, 312)(56, 385)(57, 313)(58, 388)(59, 316)(60, 368)(61, 386)(62, 371)(63, 317)(64, 319)(65, 392)(66, 321)(67, 389)(68, 322)(69, 395)(70, 363)(71, 324)(72, 397)(73, 325)(74, 399)(75, 347)(76, 327)(77, 329)(78, 402)(79, 330)(80, 344)(81, 403)(82, 331)(83, 405)(84, 332)(85, 408)(86, 335)(87, 350)(88, 406)(89, 336)(90, 411)(91, 339)(92, 338)(93, 413)(94, 414)(95, 343)(96, 354)(97, 417)(98, 418)(99, 345)(100, 420)(101, 421)(102, 351)(103, 352)(104, 424)(105, 356)(106, 358)(107, 427)(108, 359)(109, 428)(110, 361)(111, 416)(112, 364)(113, 365)(114, 422)(115, 430)(116, 370)(117, 431)(118, 419)(119, 372)(120, 415)(121, 377)(122, 379)(123, 425)(124, 380)(125, 426)(126, 404)(127, 384)(128, 383)(129, 407)(130, 423)(131, 387)(132, 398)(133, 412)(134, 390)(135, 391)(136, 400)(137, 393)(138, 394)(139, 410)(140, 396)(141, 401)(142, 432)(143, 429)(144, 409)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E24.1980
Graph:: simple bipartite
	v = 162 e = 288 f = 80
	degree seq :: [ 2^144, 16^18 ]

E24.1982 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 49})
Quotient :: edge
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = C49 : C3 (small group id <147, 1>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, (X2^-1 * X1)^3, X2^2 * X1^-1 * X2^-5 * X1 * X2, X1 * X2^27 * 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, 84, 63)(47, 89, 90)(50, 93, 88)(52, 95, 86)(54, 99, 100)(56, 102, 97)(58, 104, 105)(61, 109, 110)(66, 114, 115)(68, 117, 82)(69, 108, 118)(71, 119, 83)(72, 107, 120)(75, 94, 121)(77, 122, 113)(78, 124, 92)(80, 127, 128)(85, 131, 111)(87, 132, 112)(91, 123, 133)(96, 136, 130)(98, 137, 129)(101, 139, 138)(103, 140, 141)(106, 142, 143)(116, 144, 135)(125, 146, 145)(126, 147, 134)(148, 150, 156, 172, 201, 228, 271, 269, 261, 289, 255, 207, 231, 193, 235, 277, 230, 189, 165, 178, 204, 249, 286, 275, 294, 293, 280, 291, 254, 206, 175, 167, 191, 233, 276, 229, 188, 223, 211, 251, 287, 256, 278, 279, 237, 222, 184, 162, 152)(149, 153, 164, 187, 227, 257, 265, 267, 220, 243, 199, 171, 198, 212, 260, 292, 259, 210, 177, 160, 180, 215, 246, 285, 288, 290, 282, 241, 197, 170, 155, 169, 195, 239, 281, 258, 209, 217, 182, 218, 245, 200, 244, 252, 262, 238, 194, 168, 154)(151, 158, 176, 208, 248, 202, 242, 240, 236, 272, 225, 186, 214, 183, 219, 253, 205, 174, 157, 166, 190, 232, 274, 247, 284, 283, 268, 270, 224, 185, 163, 161, 181, 216, 250, 203, 173, 196, 192, 234, 273, 226, 264, 266, 221, 263, 213, 179, 159)
	L = (1, 148)(2, 149)(3, 150)(4, 151)(5, 152)(6, 153)(7, 154)(8, 155)(9, 156)(10, 157)(11, 158)(12, 159)(13, 160)(14, 161)(15, 162)(16, 163)(17, 164)(18, 165)(19, 166)(20, 167)(21, 168)(22, 169)(23, 170)(24, 171)(25, 172)(26, 173)(27, 174)(28, 175)(29, 176)(30, 177)(31, 178)(32, 179)(33, 180)(34, 181)(35, 182)(36, 183)(37, 184)(38, 185)(39, 186)(40, 187)(41, 188)(42, 189)(43, 190)(44, 191)(45, 192)(46, 193)(47, 194)(48, 195)(49, 196)(50, 197)(51, 198)(52, 199)(53, 200)(54, 201)(55, 202)(56, 203)(57, 204)(58, 205)(59, 206)(60, 207)(61, 208)(62, 209)(63, 210)(64, 211)(65, 212)(66, 213)(67, 214)(68, 215)(69, 216)(70, 217)(71, 218)(72, 219)(73, 220)(74, 221)(75, 222)(76, 223)(77, 224)(78, 225)(79, 226)(80, 227)(81, 228)(82, 229)(83, 230)(84, 231)(85, 232)(86, 233)(87, 234)(88, 235)(89, 236)(90, 237)(91, 238)(92, 239)(93, 240)(94, 241)(95, 242)(96, 243)(97, 244)(98, 245)(99, 246)(100, 247)(101, 248)(102, 249)(103, 250)(104, 251)(105, 252)(106, 253)(107, 254)(108, 255)(109, 256)(110, 257)(111, 258)(112, 259)(113, 260)(114, 261)(115, 262)(116, 263)(117, 264)(118, 265)(119, 266)(120, 267)(121, 268)(122, 269)(123, 270)(124, 271)(125, 272)(126, 273)(127, 274)(128, 275)(129, 276)(130, 277)(131, 278)(132, 279)(133, 280)(134, 281)(135, 282)(136, 283)(137, 284)(138, 285)(139, 286)(140, 287)(141, 288)(142, 289)(143, 290)(144, 291)(145, 292)(146, 293)(147, 294)
	local type(s) :: { ( 6^3 ), ( 6^49 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 147 f = 49
	degree seq :: [ 3^49, 49^3 ]

E24.1983 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 49})
Quotient :: loop
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = C49 : C3 (small group id <147, 1>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1)^3, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 148, 2, 149, 4, 151)(3, 150, 8, 155, 9, 156)(5, 152, 12, 159, 13, 160)(6, 153, 14, 161, 15, 162)(7, 154, 16, 163, 17, 164)(10, 157, 21, 168, 22, 169)(11, 158, 23, 170, 24, 171)(18, 165, 33, 180, 34, 181)(19, 166, 26, 173, 35, 182)(20, 167, 36, 183, 37, 184)(25, 172, 42, 189, 43, 190)(27, 174, 44, 191, 45, 192)(28, 175, 46, 193, 47, 194)(29, 176, 31, 178, 48, 195)(30, 177, 49, 196, 50, 197)(32, 179, 51, 198, 52, 199)(38, 185, 59, 206, 60, 207)(39, 186, 40, 187, 61, 208)(41, 188, 62, 209, 63, 210)(53, 200, 76, 223, 77, 224)(54, 201, 56, 203, 78, 225)(55, 202, 79, 226, 80, 227)(57, 204, 66, 213, 81, 228)(58, 205, 82, 229, 83, 230)(64, 211, 90, 237, 91, 238)(65, 212, 92, 239, 93, 240)(67, 214, 94, 241, 95, 242)(68, 215, 96, 243, 97, 244)(69, 216, 71, 218, 98, 245)(70, 217, 99, 246, 100, 247)(72, 219, 74, 221, 101, 248)(73, 220, 102, 249, 103, 250)(75, 222, 104, 251, 105, 252)(84, 231, 115, 262, 116, 263)(85, 232, 86, 233, 117, 264)(87, 234, 88, 235, 118, 265)(89, 236, 119, 266, 120, 267)(106, 253, 128, 275, 137, 284)(107, 254, 109, 256, 131, 278)(108, 255, 138, 285, 139, 286)(110, 257, 112, 259, 134, 281)(111, 258, 140, 287, 141, 288)(113, 260, 124, 271, 142, 289)(114, 261, 143, 290, 144, 291)(121, 268, 147, 294, 126, 273)(122, 269, 127, 274, 129, 276)(123, 270, 130, 277, 132, 279)(125, 272, 133, 280, 135, 282)(136, 283, 145, 292, 146, 293)
	L = (1, 150)(2, 153)(3, 152)(4, 157)(5, 148)(6, 154)(7, 149)(8, 165)(9, 163)(10, 158)(11, 151)(12, 172)(13, 173)(14, 175)(15, 170)(16, 167)(17, 178)(18, 166)(19, 155)(20, 156)(21, 185)(22, 159)(23, 177)(24, 187)(25, 169)(26, 174)(27, 160)(28, 176)(29, 161)(30, 162)(31, 179)(32, 164)(33, 200)(34, 183)(35, 203)(36, 202)(37, 198)(38, 186)(39, 168)(40, 188)(41, 171)(42, 211)(43, 191)(44, 212)(45, 213)(46, 215)(47, 196)(48, 218)(49, 217)(50, 209)(51, 205)(52, 221)(53, 201)(54, 180)(55, 181)(56, 204)(57, 182)(58, 184)(59, 231)(60, 189)(61, 233)(62, 220)(63, 235)(64, 207)(65, 190)(66, 214)(67, 192)(68, 216)(69, 193)(70, 194)(71, 219)(72, 195)(73, 197)(74, 222)(75, 199)(76, 253)(77, 226)(78, 256)(79, 255)(80, 229)(81, 259)(82, 258)(83, 251)(84, 232)(85, 206)(86, 234)(87, 208)(88, 236)(89, 210)(90, 268)(91, 239)(92, 269)(93, 241)(94, 270)(95, 271)(96, 273)(97, 246)(98, 276)(99, 275)(100, 249)(101, 279)(102, 278)(103, 266)(104, 261)(105, 282)(106, 254)(107, 223)(108, 224)(109, 257)(110, 225)(111, 227)(112, 260)(113, 228)(114, 230)(115, 286)(116, 237)(117, 288)(118, 291)(119, 281)(120, 293)(121, 263)(122, 238)(123, 240)(124, 272)(125, 242)(126, 274)(127, 243)(128, 244)(129, 277)(130, 245)(131, 247)(132, 280)(133, 248)(134, 250)(135, 283)(136, 252)(137, 285)(138, 294)(139, 287)(140, 262)(141, 290)(142, 267)(143, 264)(144, 292)(145, 265)(146, 289)(147, 284)
	local type(s) :: { ( 3, 49, 3, 49, 3, 49 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 49 e = 147 f = 52
	degree seq :: [ 6^49 ]

E24.1984 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 49})
Quotient :: loop
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = (C49 : C3) : C2 (small group id <294, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2^-1 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 53, 54)(34, 36, 55)(35, 56, 57)(37, 51, 58)(42, 64, 60)(43, 44, 65)(45, 66, 67)(46, 68, 69)(47, 49, 70)(48, 71, 72)(50, 62, 73)(52, 74, 75)(59, 84, 85)(61, 86, 87)(63, 88, 89)(76, 106, 107)(77, 79, 108)(78, 109, 110)(80, 82, 111)(81, 112, 113)(83, 104, 114)(90, 121, 116)(91, 92, 122)(93, 94, 123)(95, 124, 125)(96, 126, 127)(97, 99, 128)(98, 129, 130)(100, 102, 131)(101, 132, 133)(103, 119, 134)(105, 135, 136)(115, 145, 137)(117, 138, 139)(118, 140, 141)(120, 142, 143)(144, 146, 147)(148, 149, 151)(150, 155, 156)(152, 159, 160)(153, 161, 162)(154, 163, 164)(157, 168, 169)(158, 170, 171)(165, 180, 181)(166, 173, 182)(167, 183, 184)(172, 189, 190)(174, 191, 192)(175, 193, 194)(176, 178, 195)(177, 196, 197)(179, 198, 199)(185, 206, 207)(186, 187, 208)(188, 209, 210)(200, 223, 224)(201, 203, 225)(202, 226, 227)(204, 213, 228)(205, 229, 230)(211, 237, 238)(212, 239, 240)(214, 241, 242)(215, 243, 244)(216, 218, 245)(217, 246, 247)(219, 221, 248)(220, 249, 250)(222, 251, 252)(231, 262, 263)(232, 233, 264)(234, 235, 265)(236, 266, 267)(253, 284, 285)(254, 256, 273)(255, 286, 287)(257, 259, 275)(258, 288, 289)(260, 271, 278)(261, 290, 291)(268, 277, 279)(269, 280, 282)(270, 283, 293)(272, 294, 281)(274, 276, 292)
	L = (1, 148)(2, 149)(3, 150)(4, 151)(5, 152)(6, 153)(7, 154)(8, 155)(9, 156)(10, 157)(11, 158)(12, 159)(13, 160)(14, 161)(15, 162)(16, 163)(17, 164)(18, 165)(19, 166)(20, 167)(21, 168)(22, 169)(23, 170)(24, 171)(25, 172)(26, 173)(27, 174)(28, 175)(29, 176)(30, 177)(31, 178)(32, 179)(33, 180)(34, 181)(35, 182)(36, 183)(37, 184)(38, 185)(39, 186)(40, 187)(41, 188)(42, 189)(43, 190)(44, 191)(45, 192)(46, 193)(47, 194)(48, 195)(49, 196)(50, 197)(51, 198)(52, 199)(53, 200)(54, 201)(55, 202)(56, 203)(57, 204)(58, 205)(59, 206)(60, 207)(61, 208)(62, 209)(63, 210)(64, 211)(65, 212)(66, 213)(67, 214)(68, 215)(69, 216)(70, 217)(71, 218)(72, 219)(73, 220)(74, 221)(75, 222)(76, 223)(77, 224)(78, 225)(79, 226)(80, 227)(81, 228)(82, 229)(83, 230)(84, 231)(85, 232)(86, 233)(87, 234)(88, 235)(89, 236)(90, 237)(91, 238)(92, 239)(93, 240)(94, 241)(95, 242)(96, 243)(97, 244)(98, 245)(99, 246)(100, 247)(101, 248)(102, 249)(103, 250)(104, 251)(105, 252)(106, 253)(107, 254)(108, 255)(109, 256)(110, 257)(111, 258)(112, 259)(113, 260)(114, 261)(115, 262)(116, 263)(117, 264)(118, 265)(119, 266)(120, 267)(121, 268)(122, 269)(123, 270)(124, 271)(125, 272)(126, 273)(127, 274)(128, 275)(129, 276)(130, 277)(131, 278)(132, 279)(133, 280)(134, 281)(135, 282)(136, 283)(137, 284)(138, 285)(139, 286)(140, 287)(141, 288)(142, 289)(143, 290)(144, 291)(145, 292)(146, 293)(147, 294)
	local type(s) :: { ( 98^3 ) }
Outer automorphisms :: reflexible
Dual of E24.1985
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 98 e = 147 f = 3
	degree seq :: [ 3^98 ]

E24.1985 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 49})
Quotient :: edge
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = (C49 : C3) : C2 (small group id <294, 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, (T1^-1 * T2^2 * T1 * F)^2, T1^-1 * T2^3 * T1 * T2^-5, T1^-1 * T2^27 * T1 * T2^4 ]
Map:: polytopal non-degenerate
	R = (1, 148, 3, 150, 9, 156, 25, 172, 54, 201, 99, 246, 131, 278, 132, 279, 90, 237, 129, 276, 82, 229, 41, 188, 76, 223, 64, 211, 104, 251, 139, 286, 107, 254, 59, 206, 28, 175, 20, 167, 44, 191, 86, 233, 127, 274, 141, 288, 147, 294, 146, 293, 145, 292, 130, 277, 83, 230, 42, 189, 18, 165, 31, 178, 57, 204, 102, 249, 138, 285, 108, 255, 60, 207, 84, 231, 46, 193, 88, 235, 128, 275, 81, 228, 124, 271, 122, 269, 114, 261, 75, 222, 37, 184, 15, 162, 5, 152)(2, 149, 6, 153, 17, 164, 40, 187, 80, 227, 53, 200, 97, 244, 105, 252, 115, 262, 143, 290, 111, 258, 62, 209, 70, 217, 35, 182, 71, 218, 94, 241, 50, 197, 23, 170, 8, 155, 22, 169, 48, 195, 92, 239, 134, 281, 98, 245, 137, 284, 140, 287, 121, 268, 144, 291, 112, 259, 63, 210, 30, 177, 13, 160, 33, 180, 68, 215, 96, 243, 52, 199, 24, 171, 51, 198, 65, 212, 113, 260, 142, 289, 110, 257, 118, 265, 120, 267, 73, 220, 91, 238, 47, 194, 21, 168, 7, 154)(4, 151, 11, 158, 29, 176, 61, 208, 109, 256, 79, 226, 117, 264, 119, 266, 74, 221, 103, 250, 56, 203, 26, 173, 49, 196, 45, 192, 87, 234, 123, 270, 77, 224, 38, 185, 16, 163, 14, 161, 34, 181, 69, 216, 100, 247, 126, 273, 136, 283, 135, 282, 133, 280, 106, 253, 58, 205, 27, 174, 10, 157, 19, 166, 43, 190, 85, 232, 125, 272, 78, 225, 39, 186, 67, 214, 36, 183, 72, 219, 101, 248, 55, 202, 95, 242, 93, 240, 89, 236, 116, 263, 66, 213, 32, 179, 12, 159)
	L = (1, 149)(2, 151)(3, 155)(4, 148)(5, 160)(6, 163)(7, 166)(8, 157)(9, 171)(10, 150)(11, 175)(12, 178)(13, 161)(14, 152)(15, 182)(16, 165)(17, 186)(18, 153)(19, 167)(20, 154)(21, 192)(22, 159)(23, 196)(24, 173)(25, 200)(26, 156)(27, 204)(28, 177)(29, 207)(30, 158)(31, 169)(32, 211)(33, 214)(34, 206)(35, 183)(36, 162)(37, 220)(38, 223)(39, 188)(40, 226)(41, 164)(42, 180)(43, 231)(44, 170)(45, 193)(46, 168)(47, 236)(48, 185)(49, 191)(50, 240)(51, 174)(52, 242)(53, 202)(54, 245)(55, 172)(56, 249)(57, 198)(58, 251)(59, 217)(60, 209)(61, 246)(62, 176)(63, 190)(64, 212)(65, 179)(66, 261)(67, 189)(68, 264)(69, 255)(70, 181)(71, 266)(72, 254)(73, 221)(74, 184)(75, 268)(76, 195)(77, 269)(78, 271)(79, 228)(80, 273)(81, 187)(82, 215)(83, 218)(84, 210)(85, 278)(86, 199)(87, 279)(88, 197)(89, 237)(90, 194)(91, 280)(92, 225)(93, 235)(94, 282)(95, 233)(96, 283)(97, 203)(98, 247)(99, 257)(100, 201)(101, 285)(102, 244)(103, 286)(104, 252)(105, 205)(106, 222)(107, 267)(108, 265)(109, 288)(110, 208)(111, 232)(112, 234)(113, 224)(114, 262)(115, 213)(116, 292)(117, 229)(118, 216)(119, 230)(120, 219)(121, 253)(122, 260)(123, 293)(124, 239)(125, 294)(126, 274)(127, 227)(128, 243)(129, 241)(130, 238)(131, 258)(132, 259)(133, 277)(134, 256)(135, 276)(136, 275)(137, 248)(138, 284)(139, 287)(140, 250)(141, 281)(142, 272)(143, 270)(144, 263)(145, 291)(146, 290)(147, 289)
	local type(s) :: { ( 3^98 ) }
Outer automorphisms :: reflexible
Dual of E24.1984
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 147 f = 98
	degree seq :: [ 98^3 ]

E24.1986 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 49})
Quotient :: edge^2
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = (C49 : C3) : C2 (small group id <294, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^3, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-5 * Y1^-1 * Y3, Y3^3 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^4 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 148, 4, 151, 15, 162, 40, 187, 83, 230, 94, 241, 121, 268, 123, 270, 125, 272, 111, 258, 59, 206, 61, 208, 64, 211, 35, 182, 74, 221, 130, 277, 97, 244, 48, 195, 19, 166, 30, 177, 50, 197, 88, 235, 140, 287, 142, 289, 146, 293, 147, 294, 135, 282, 110, 257, 58, 205, 24, 171, 26, 173, 11, 158, 32, 179, 71, 218, 127, 274, 95, 242, 47, 194, 67, 214, 69, 216, 99, 246, 112, 259, 113, 260, 116, 263, 118, 265, 77, 224, 109, 256, 57, 204, 23, 170, 7, 154)(2, 149, 8, 155, 25, 172, 60, 207, 86, 233, 42, 189, 72, 219, 75, 222, 78, 225, 134, 281, 91, 238, 93, 240, 96, 243, 55, 202, 104, 251, 100, 247, 51, 198, 20, 167, 6, 153, 12, 159, 34, 181, 73, 220, 129, 276, 85, 232, 128, 275, 131, 278, 133, 280, 136, 283, 90, 237, 44, 191, 46, 193, 21, 168, 52, 199, 101, 248, 89, 236, 43, 190, 17, 164, 33, 180, 36, 183, 76, 223, 132, 279, 139, 286, 143, 290, 144, 291, 107, 254, 126, 273, 70, 217, 31, 178, 10, 157)(3, 150, 5, 152, 18, 165, 45, 192, 92, 239, 115, 262, 62, 209, 102, 249, 105, 252, 108, 255, 81, 228, 39, 186, 41, 188, 49, 196, 68, 215, 122, 269, 119, 266, 65, 212, 28, 175, 9, 156, 22, 169, 54, 201, 103, 250, 138, 285, 114, 261, 141, 288, 145, 292, 137, 284, 80, 227, 38, 185, 14, 161, 16, 163, 29, 176, 66, 213, 120, 267, 117, 264, 63, 210, 27, 174, 53, 200, 56, 203, 106, 253, 82, 229, 84, 231, 87, 234, 98, 245, 124, 271, 79, 226, 37, 184, 13, 160)(295, 296, 299)(297, 305, 306)(298, 300, 310)(301, 315, 316)(302, 303, 320)(304, 323, 324)(307, 329, 330)(308, 326, 327)(309, 311, 335)(312, 313, 340)(314, 343, 344)(317, 349, 350)(318, 346, 347)(319, 321, 355)(322, 358, 328)(325, 362, 363)(331, 371, 372)(332, 368, 369)(333, 365, 366)(334, 336, 378)(337, 381, 382)(338, 360, 361)(339, 341, 387)(342, 390, 348)(345, 392, 393)(351, 401, 402)(352, 398, 399)(353, 395, 396)(354, 356, 407)(357, 410, 367)(359, 412, 370)(364, 418, 419)(373, 429, 430)(374, 403, 427)(375, 424, 425)(376, 421, 422)(377, 379, 432)(380, 408, 434)(383, 435, 406)(384, 416, 417)(385, 414, 415)(386, 388, 433)(389, 437, 397)(391, 438, 400)(394, 439, 405)(404, 420, 431)(409, 436, 423)(411, 440, 426)(413, 441, 428)(442, 444, 447)(443, 448, 450)(445, 455, 458)(446, 451, 460)(449, 465, 468)(452, 454, 474)(453, 467, 469)(456, 480, 483)(457, 461, 471)(459, 485, 488)(462, 464, 494)(463, 487, 489)(466, 500, 503)(470, 472, 508)(473, 479, 513)(475, 502, 504)(476, 478, 516)(477, 505, 506)(481, 523, 526)(482, 484, 491)(486, 532, 535)(490, 492, 510)(493, 499, 543)(495, 534, 536)(496, 498, 546)(497, 537, 538)(501, 553, 555)(507, 531, 562)(509, 511, 564)(512, 522, 569)(514, 554, 556)(515, 521, 572)(517, 557, 558)(518, 520, 574)(519, 559, 560)(524, 544, 580)(525, 527, 529)(528, 530, 540)(533, 573, 583)(539, 541, 566)(542, 552, 582)(545, 551, 586)(547, 584, 568)(548, 550, 578)(549, 585, 571)(561, 575, 587)(563, 577, 588)(565, 567, 576)(570, 581, 579)
	L = (1, 295)(2, 296)(3, 297)(4, 298)(5, 299)(6, 300)(7, 301)(8, 302)(9, 303)(10, 304)(11, 305)(12, 306)(13, 307)(14, 308)(15, 309)(16, 310)(17, 311)(18, 312)(19, 313)(20, 314)(21, 315)(22, 316)(23, 317)(24, 318)(25, 319)(26, 320)(27, 321)(28, 322)(29, 323)(30, 324)(31, 325)(32, 326)(33, 327)(34, 328)(35, 329)(36, 330)(37, 331)(38, 332)(39, 333)(40, 334)(41, 335)(42, 336)(43, 337)(44, 338)(45, 339)(46, 340)(47, 341)(48, 342)(49, 343)(50, 344)(51, 345)(52, 346)(53, 347)(54, 348)(55, 349)(56, 350)(57, 351)(58, 352)(59, 353)(60, 354)(61, 355)(62, 356)(63, 357)(64, 358)(65, 359)(66, 360)(67, 361)(68, 362)(69, 363)(70, 364)(71, 365)(72, 366)(73, 367)(74, 368)(75, 369)(76, 370)(77, 371)(78, 372)(79, 373)(80, 374)(81, 375)(82, 376)(83, 377)(84, 378)(85, 379)(86, 380)(87, 381)(88, 382)(89, 383)(90, 384)(91, 385)(92, 386)(93, 387)(94, 388)(95, 389)(96, 390)(97, 391)(98, 392)(99, 393)(100, 394)(101, 395)(102, 396)(103, 397)(104, 398)(105, 399)(106, 400)(107, 401)(108, 402)(109, 403)(110, 404)(111, 405)(112, 406)(113, 407)(114, 408)(115, 409)(116, 410)(117, 411)(118, 412)(119, 413)(120, 414)(121, 415)(122, 416)(123, 417)(124, 418)(125, 419)(126, 420)(127, 421)(128, 422)(129, 423)(130, 424)(131, 425)(132, 426)(133, 427)(134, 428)(135, 429)(136, 430)(137, 431)(138, 432)(139, 433)(140, 434)(141, 435)(142, 436)(143, 437)(144, 438)(145, 439)(146, 440)(147, 441)(148, 442)(149, 443)(150, 444)(151, 445)(152, 446)(153, 447)(154, 448)(155, 449)(156, 450)(157, 451)(158, 452)(159, 453)(160, 454)(161, 455)(162, 456)(163, 457)(164, 458)(165, 459)(166, 460)(167, 461)(168, 462)(169, 463)(170, 464)(171, 465)(172, 466)(173, 467)(174, 468)(175, 469)(176, 470)(177, 471)(178, 472)(179, 473)(180, 474)(181, 475)(182, 476)(183, 477)(184, 478)(185, 479)(186, 480)(187, 481)(188, 482)(189, 483)(190, 484)(191, 485)(192, 486)(193, 487)(194, 488)(195, 489)(196, 490)(197, 491)(198, 492)(199, 493)(200, 494)(201, 495)(202, 496)(203, 497)(204, 498)(205, 499)(206, 500)(207, 501)(208, 502)(209, 503)(210, 504)(211, 505)(212, 506)(213, 507)(214, 508)(215, 509)(216, 510)(217, 511)(218, 512)(219, 513)(220, 514)(221, 515)(222, 516)(223, 517)(224, 518)(225, 519)(226, 520)(227, 521)(228, 522)(229, 523)(230, 524)(231, 525)(232, 526)(233, 527)(234, 528)(235, 529)(236, 530)(237, 531)(238, 532)(239, 533)(240, 534)(241, 535)(242, 536)(243, 537)(244, 538)(245, 539)(246, 540)(247, 541)(248, 542)(249, 543)(250, 544)(251, 545)(252, 546)(253, 547)(254, 548)(255, 549)(256, 550)(257, 551)(258, 552)(259, 553)(260, 554)(261, 555)(262, 556)(263, 557)(264, 558)(265, 559)(266, 560)(267, 561)(268, 562)(269, 563)(270, 564)(271, 565)(272, 566)(273, 567)(274, 568)(275, 569)(276, 570)(277, 571)(278, 572)(279, 573)(280, 574)(281, 575)(282, 576)(283, 577)(284, 578)(285, 579)(286, 580)(287, 581)(288, 582)(289, 583)(290, 584)(291, 585)(292, 586)(293, 587)(294, 588)
	local type(s) :: { ( 4^3 ), ( 4^98 ) }
Outer automorphisms :: reflexible
Dual of E24.1989
Graph:: simple bipartite
	v = 101 e = 294 f = 147
	degree seq :: [ 3^98, 98^3 ]

E24.1987 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 49})
Quotient :: edge^2
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = (C49 : C3) : C2 (small group id <294, 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 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^49 ]
Map:: polytopal
	R = (1, 148)(2, 149)(3, 150)(4, 151)(5, 152)(6, 153)(7, 154)(8, 155)(9, 156)(10, 157)(11, 158)(12, 159)(13, 160)(14, 161)(15, 162)(16, 163)(17, 164)(18, 165)(19, 166)(20, 167)(21, 168)(22, 169)(23, 170)(24, 171)(25, 172)(26, 173)(27, 174)(28, 175)(29, 176)(30, 177)(31, 178)(32, 179)(33, 180)(34, 181)(35, 182)(36, 183)(37, 184)(38, 185)(39, 186)(40, 187)(41, 188)(42, 189)(43, 190)(44, 191)(45, 192)(46, 193)(47, 194)(48, 195)(49, 196)(50, 197)(51, 198)(52, 199)(53, 200)(54, 201)(55, 202)(56, 203)(57, 204)(58, 205)(59, 206)(60, 207)(61, 208)(62, 209)(63, 210)(64, 211)(65, 212)(66, 213)(67, 214)(68, 215)(69, 216)(70, 217)(71, 218)(72, 219)(73, 220)(74, 221)(75, 222)(76, 223)(77, 224)(78, 225)(79, 226)(80, 227)(81, 228)(82, 229)(83, 230)(84, 231)(85, 232)(86, 233)(87, 234)(88, 235)(89, 236)(90, 237)(91, 238)(92, 239)(93, 240)(94, 241)(95, 242)(96, 243)(97, 244)(98, 245)(99, 246)(100, 247)(101, 248)(102, 249)(103, 250)(104, 251)(105, 252)(106, 253)(107, 254)(108, 255)(109, 256)(110, 257)(111, 258)(112, 259)(113, 260)(114, 261)(115, 262)(116, 263)(117, 264)(118, 265)(119, 266)(120, 267)(121, 268)(122, 269)(123, 270)(124, 271)(125, 272)(126, 273)(127, 274)(128, 275)(129, 276)(130, 277)(131, 278)(132, 279)(133, 280)(134, 281)(135, 282)(136, 283)(137, 284)(138, 285)(139, 286)(140, 287)(141, 288)(142, 289)(143, 290)(144, 291)(145, 292)(146, 293)(147, 294)(295, 296, 298)(297, 302, 303)(299, 306, 307)(300, 308, 309)(301, 310, 311)(304, 315, 316)(305, 317, 318)(312, 327, 328)(313, 320, 329)(314, 330, 331)(319, 336, 337)(321, 338, 339)(322, 340, 341)(323, 325, 342)(324, 343, 344)(326, 345, 346)(332, 353, 354)(333, 334, 355)(335, 356, 357)(347, 370, 371)(348, 350, 372)(349, 373, 374)(351, 360, 375)(352, 376, 377)(358, 384, 385)(359, 386, 387)(361, 388, 389)(362, 390, 391)(363, 365, 392)(364, 393, 394)(366, 368, 395)(367, 396, 397)(369, 398, 399)(378, 409, 410)(379, 380, 411)(381, 382, 412)(383, 413, 414)(400, 431, 432)(401, 403, 420)(402, 433, 434)(404, 406, 422)(405, 435, 436)(407, 418, 425)(408, 437, 438)(415, 424, 426)(416, 427, 429)(417, 430, 440)(419, 441, 428)(421, 423, 439)(442, 444, 446)(443, 447, 448)(445, 451, 452)(449, 459, 460)(450, 457, 461)(453, 466, 463)(454, 467, 468)(455, 469, 470)(456, 464, 471)(458, 472, 473)(462, 479, 480)(465, 481, 482)(474, 494, 495)(475, 477, 496)(476, 497, 498)(478, 492, 499)(483, 505, 501)(484, 485, 506)(486, 507, 508)(487, 509, 510)(488, 490, 511)(489, 512, 513)(491, 503, 514)(493, 515, 516)(500, 525, 526)(502, 527, 528)(504, 529, 530)(517, 547, 548)(518, 520, 549)(519, 550, 551)(521, 523, 552)(522, 553, 554)(524, 545, 555)(531, 562, 557)(532, 533, 563)(534, 535, 564)(536, 565, 566)(537, 567, 568)(538, 540, 569)(539, 570, 571)(541, 543, 572)(542, 573, 574)(544, 560, 575)(546, 576, 577)(556, 586, 578)(558, 579, 580)(559, 581, 582)(561, 583, 584)(585, 587, 588)
	L = (1, 295)(2, 296)(3, 297)(4, 298)(5, 299)(6, 300)(7, 301)(8, 302)(9, 303)(10, 304)(11, 305)(12, 306)(13, 307)(14, 308)(15, 309)(16, 310)(17, 311)(18, 312)(19, 313)(20, 314)(21, 315)(22, 316)(23, 317)(24, 318)(25, 319)(26, 320)(27, 321)(28, 322)(29, 323)(30, 324)(31, 325)(32, 326)(33, 327)(34, 328)(35, 329)(36, 330)(37, 331)(38, 332)(39, 333)(40, 334)(41, 335)(42, 336)(43, 337)(44, 338)(45, 339)(46, 340)(47, 341)(48, 342)(49, 343)(50, 344)(51, 345)(52, 346)(53, 347)(54, 348)(55, 349)(56, 350)(57, 351)(58, 352)(59, 353)(60, 354)(61, 355)(62, 356)(63, 357)(64, 358)(65, 359)(66, 360)(67, 361)(68, 362)(69, 363)(70, 364)(71, 365)(72, 366)(73, 367)(74, 368)(75, 369)(76, 370)(77, 371)(78, 372)(79, 373)(80, 374)(81, 375)(82, 376)(83, 377)(84, 378)(85, 379)(86, 380)(87, 381)(88, 382)(89, 383)(90, 384)(91, 385)(92, 386)(93, 387)(94, 388)(95, 389)(96, 390)(97, 391)(98, 392)(99, 393)(100, 394)(101, 395)(102, 396)(103, 397)(104, 398)(105, 399)(106, 400)(107, 401)(108, 402)(109, 403)(110, 404)(111, 405)(112, 406)(113, 407)(114, 408)(115, 409)(116, 410)(117, 411)(118, 412)(119, 413)(120, 414)(121, 415)(122, 416)(123, 417)(124, 418)(125, 419)(126, 420)(127, 421)(128, 422)(129, 423)(130, 424)(131, 425)(132, 426)(133, 427)(134, 428)(135, 429)(136, 430)(137, 431)(138, 432)(139, 433)(140, 434)(141, 435)(142, 436)(143, 437)(144, 438)(145, 439)(146, 440)(147, 441)(148, 442)(149, 443)(150, 444)(151, 445)(152, 446)(153, 447)(154, 448)(155, 449)(156, 450)(157, 451)(158, 452)(159, 453)(160, 454)(161, 455)(162, 456)(163, 457)(164, 458)(165, 459)(166, 460)(167, 461)(168, 462)(169, 463)(170, 464)(171, 465)(172, 466)(173, 467)(174, 468)(175, 469)(176, 470)(177, 471)(178, 472)(179, 473)(180, 474)(181, 475)(182, 476)(183, 477)(184, 478)(185, 479)(186, 480)(187, 481)(188, 482)(189, 483)(190, 484)(191, 485)(192, 486)(193, 487)(194, 488)(195, 489)(196, 490)(197, 491)(198, 492)(199, 493)(200, 494)(201, 495)(202, 496)(203, 497)(204, 498)(205, 499)(206, 500)(207, 501)(208, 502)(209, 503)(210, 504)(211, 505)(212, 506)(213, 507)(214, 508)(215, 509)(216, 510)(217, 511)(218, 512)(219, 513)(220, 514)(221, 515)(222, 516)(223, 517)(224, 518)(225, 519)(226, 520)(227, 521)(228, 522)(229, 523)(230, 524)(231, 525)(232, 526)(233, 527)(234, 528)(235, 529)(236, 530)(237, 531)(238, 532)(239, 533)(240, 534)(241, 535)(242, 536)(243, 537)(244, 538)(245, 539)(246, 540)(247, 541)(248, 542)(249, 543)(250, 544)(251, 545)(252, 546)(253, 547)(254, 548)(255, 549)(256, 550)(257, 551)(258, 552)(259, 553)(260, 554)(261, 555)(262, 556)(263, 557)(264, 558)(265, 559)(266, 560)(267, 561)(268, 562)(269, 563)(270, 564)(271, 565)(272, 566)(273, 567)(274, 568)(275, 569)(276, 570)(277, 571)(278, 572)(279, 573)(280, 574)(281, 575)(282, 576)(283, 577)(284, 578)(285, 579)(286, 580)(287, 581)(288, 582)(289, 583)(290, 584)(291, 585)(292, 586)(293, 587)(294, 588)
	local type(s) :: { ( 196, 196 ), ( 196^3 ) }
Outer automorphisms :: reflexible
Dual of E24.1988
Graph:: simple bipartite
	v = 245 e = 294 f = 3
	degree seq :: [ 2^147, 3^98 ]

E24.1988 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 49})
Quotient :: loop^2
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = (C49 : C3) : C2 (small group id <294, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^3, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-5 * Y1^-1 * Y3, Y3^3 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^4 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 148, 295, 442, 4, 151, 298, 445, 15, 162, 309, 456, 40, 187, 334, 481, 83, 230, 377, 524, 94, 241, 388, 535, 121, 268, 415, 562, 123, 270, 417, 564, 125, 272, 419, 566, 111, 258, 405, 552, 59, 206, 353, 500, 61, 208, 355, 502, 64, 211, 358, 505, 35, 182, 329, 476, 74, 221, 368, 515, 130, 277, 424, 571, 97, 244, 391, 538, 48, 195, 342, 489, 19, 166, 313, 460, 30, 177, 324, 471, 50, 197, 344, 491, 88, 235, 382, 529, 140, 287, 434, 581, 142, 289, 436, 583, 146, 293, 440, 587, 147, 294, 441, 588, 135, 282, 429, 576, 110, 257, 404, 551, 58, 205, 352, 499, 24, 171, 318, 465, 26, 173, 320, 467, 11, 158, 305, 452, 32, 179, 326, 473, 71, 218, 365, 512, 127, 274, 421, 568, 95, 242, 389, 536, 47, 194, 341, 488, 67, 214, 361, 508, 69, 216, 363, 510, 99, 246, 393, 540, 112, 259, 406, 553, 113, 260, 407, 554, 116, 263, 410, 557, 118, 265, 412, 559, 77, 224, 371, 518, 109, 256, 403, 550, 57, 204, 351, 498, 23, 170, 317, 464, 7, 154, 301, 448)(2, 149, 296, 443, 8, 155, 302, 449, 25, 172, 319, 466, 60, 207, 354, 501, 86, 233, 380, 527, 42, 189, 336, 483, 72, 219, 366, 513, 75, 222, 369, 516, 78, 225, 372, 519, 134, 281, 428, 575, 91, 238, 385, 532, 93, 240, 387, 534, 96, 243, 390, 537, 55, 202, 349, 496, 104, 251, 398, 545, 100, 247, 394, 541, 51, 198, 345, 492, 20, 167, 314, 461, 6, 153, 300, 447, 12, 159, 306, 453, 34, 181, 328, 475, 73, 220, 367, 514, 129, 276, 423, 570, 85, 232, 379, 526, 128, 275, 422, 569, 131, 278, 425, 572, 133, 280, 427, 574, 136, 283, 430, 577, 90, 237, 384, 531, 44, 191, 338, 485, 46, 193, 340, 487, 21, 168, 315, 462, 52, 199, 346, 493, 101, 248, 395, 542, 89, 236, 383, 530, 43, 190, 337, 484, 17, 164, 311, 458, 33, 180, 327, 474, 36, 183, 330, 477, 76, 223, 370, 517, 132, 279, 426, 573, 139, 286, 433, 580, 143, 290, 437, 584, 144, 291, 438, 585, 107, 254, 401, 548, 126, 273, 420, 567, 70, 217, 364, 511, 31, 178, 325, 472, 10, 157, 304, 451)(3, 150, 297, 444, 5, 152, 299, 446, 18, 165, 312, 459, 45, 192, 339, 486, 92, 239, 386, 533, 115, 262, 409, 556, 62, 209, 356, 503, 102, 249, 396, 543, 105, 252, 399, 546, 108, 255, 402, 549, 81, 228, 375, 522, 39, 186, 333, 480, 41, 188, 335, 482, 49, 196, 343, 490, 68, 215, 362, 509, 122, 269, 416, 563, 119, 266, 413, 560, 65, 212, 359, 506, 28, 175, 322, 469, 9, 156, 303, 450, 22, 169, 316, 463, 54, 201, 348, 495, 103, 250, 397, 544, 138, 285, 432, 579, 114, 261, 408, 555, 141, 288, 435, 582, 145, 292, 439, 586, 137, 284, 431, 578, 80, 227, 374, 521, 38, 185, 332, 479, 14, 161, 308, 455, 16, 163, 310, 457, 29, 176, 323, 470, 66, 213, 360, 507, 120, 267, 414, 561, 117, 264, 411, 558, 63, 210, 357, 504, 27, 174, 321, 468, 53, 200, 347, 494, 56, 203, 350, 497, 106, 253, 400, 547, 82, 229, 376, 523, 84, 231, 378, 525, 87, 234, 381, 528, 98, 245, 392, 539, 124, 271, 418, 565, 79, 226, 373, 520, 37, 184, 331, 478, 13, 160, 307, 454)
	L = (1, 149)(2, 152)(3, 158)(4, 153)(5, 148)(6, 163)(7, 168)(8, 156)(9, 173)(10, 176)(11, 159)(12, 150)(13, 182)(14, 179)(15, 164)(16, 151)(17, 188)(18, 166)(19, 193)(20, 196)(21, 169)(22, 154)(23, 202)(24, 199)(25, 174)(26, 155)(27, 208)(28, 211)(29, 177)(30, 157)(31, 215)(32, 180)(33, 161)(34, 175)(35, 183)(36, 160)(37, 224)(38, 221)(39, 218)(40, 189)(41, 162)(42, 231)(43, 234)(44, 213)(45, 194)(46, 165)(47, 240)(48, 243)(49, 197)(50, 167)(51, 245)(52, 200)(53, 171)(54, 195)(55, 203)(56, 170)(57, 254)(58, 251)(59, 248)(60, 209)(61, 172)(62, 260)(63, 263)(64, 181)(65, 265)(66, 214)(67, 191)(68, 216)(69, 178)(70, 271)(71, 219)(72, 186)(73, 210)(74, 222)(75, 185)(76, 212)(77, 225)(78, 184)(79, 282)(80, 256)(81, 277)(82, 274)(83, 232)(84, 187)(85, 285)(86, 261)(87, 235)(88, 190)(89, 288)(90, 269)(91, 267)(92, 241)(93, 192)(94, 286)(95, 290)(96, 201)(97, 291)(98, 246)(99, 198)(100, 292)(101, 249)(102, 206)(103, 242)(104, 252)(105, 205)(106, 244)(107, 255)(108, 204)(109, 280)(110, 273)(111, 247)(112, 236)(113, 207)(114, 287)(115, 289)(116, 220)(117, 293)(118, 223)(119, 294)(120, 268)(121, 238)(122, 270)(123, 237)(124, 272)(125, 217)(126, 284)(127, 275)(128, 229)(129, 262)(130, 278)(131, 228)(132, 264)(133, 227)(134, 266)(135, 283)(136, 226)(137, 257)(138, 230)(139, 239)(140, 233)(141, 259)(142, 276)(143, 250)(144, 253)(145, 258)(146, 279)(147, 281)(295, 444)(296, 448)(297, 447)(298, 455)(299, 451)(300, 442)(301, 450)(302, 465)(303, 443)(304, 460)(305, 454)(306, 467)(307, 474)(308, 458)(309, 480)(310, 461)(311, 445)(312, 485)(313, 446)(314, 471)(315, 464)(316, 487)(317, 494)(318, 468)(319, 500)(320, 469)(321, 449)(322, 453)(323, 472)(324, 457)(325, 508)(326, 479)(327, 452)(328, 502)(329, 478)(330, 505)(331, 516)(332, 513)(333, 483)(334, 523)(335, 484)(336, 456)(337, 491)(338, 488)(339, 532)(340, 489)(341, 459)(342, 463)(343, 492)(344, 482)(345, 510)(346, 499)(347, 462)(348, 534)(349, 498)(350, 537)(351, 546)(352, 543)(353, 503)(354, 553)(355, 504)(356, 466)(357, 475)(358, 506)(359, 477)(360, 531)(361, 470)(362, 511)(363, 490)(364, 564)(365, 522)(366, 473)(367, 554)(368, 521)(369, 476)(370, 557)(371, 520)(372, 559)(373, 574)(374, 572)(375, 569)(376, 526)(377, 544)(378, 527)(379, 481)(380, 529)(381, 530)(382, 525)(383, 540)(384, 562)(385, 535)(386, 573)(387, 536)(388, 486)(389, 495)(390, 538)(391, 497)(392, 541)(393, 528)(394, 566)(395, 552)(396, 493)(397, 580)(398, 551)(399, 496)(400, 584)(401, 550)(402, 585)(403, 578)(404, 586)(405, 582)(406, 555)(407, 556)(408, 501)(409, 514)(410, 558)(411, 517)(412, 560)(413, 519)(414, 575)(415, 507)(416, 577)(417, 509)(418, 567)(419, 539)(420, 576)(421, 547)(422, 512)(423, 581)(424, 549)(425, 515)(426, 583)(427, 518)(428, 587)(429, 565)(430, 588)(431, 548)(432, 570)(433, 524)(434, 579)(435, 542)(436, 533)(437, 568)(438, 571)(439, 545)(440, 561)(441, 563)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E24.1987
Transitivity :: VT+
Graph::
	v = 3 e = 294 f = 245
	degree seq :: [ 196^3 ]

E24.1989 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 49})
Quotient :: loop^2
Aut^+ = C49 : C3 (small group id <147, 1>)
Aut   = (C49 : C3) : C2 (small group id <294, 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 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^49 ]
Map:: polytopal non-degenerate
	R = (1, 148, 295, 442)(2, 149, 296, 443)(3, 150, 297, 444)(4, 151, 298, 445)(5, 152, 299, 446)(6, 153, 300, 447)(7, 154, 301, 448)(8, 155, 302, 449)(9, 156, 303, 450)(10, 157, 304, 451)(11, 158, 305, 452)(12, 159, 306, 453)(13, 160, 307, 454)(14, 161, 308, 455)(15, 162, 309, 456)(16, 163, 310, 457)(17, 164, 311, 458)(18, 165, 312, 459)(19, 166, 313, 460)(20, 167, 314, 461)(21, 168, 315, 462)(22, 169, 316, 463)(23, 170, 317, 464)(24, 171, 318, 465)(25, 172, 319, 466)(26, 173, 320, 467)(27, 174, 321, 468)(28, 175, 322, 469)(29, 176, 323, 470)(30, 177, 324, 471)(31, 178, 325, 472)(32, 179, 326, 473)(33, 180, 327, 474)(34, 181, 328, 475)(35, 182, 329, 476)(36, 183, 330, 477)(37, 184, 331, 478)(38, 185, 332, 479)(39, 186, 333, 480)(40, 187, 334, 481)(41, 188, 335, 482)(42, 189, 336, 483)(43, 190, 337, 484)(44, 191, 338, 485)(45, 192, 339, 486)(46, 193, 340, 487)(47, 194, 341, 488)(48, 195, 342, 489)(49, 196, 343, 490)(50, 197, 344, 491)(51, 198, 345, 492)(52, 199, 346, 493)(53, 200, 347, 494)(54, 201, 348, 495)(55, 202, 349, 496)(56, 203, 350, 497)(57, 204, 351, 498)(58, 205, 352, 499)(59, 206, 353, 500)(60, 207, 354, 501)(61, 208, 355, 502)(62, 209, 356, 503)(63, 210, 357, 504)(64, 211, 358, 505)(65, 212, 359, 506)(66, 213, 360, 507)(67, 214, 361, 508)(68, 215, 362, 509)(69, 216, 363, 510)(70, 217, 364, 511)(71, 218, 365, 512)(72, 219, 366, 513)(73, 220, 367, 514)(74, 221, 368, 515)(75, 222, 369, 516)(76, 223, 370, 517)(77, 224, 371, 518)(78, 225, 372, 519)(79, 226, 373, 520)(80, 227, 374, 521)(81, 228, 375, 522)(82, 229, 376, 523)(83, 230, 377, 524)(84, 231, 378, 525)(85, 232, 379, 526)(86, 233, 380, 527)(87, 234, 381, 528)(88, 235, 382, 529)(89, 236, 383, 530)(90, 237, 384, 531)(91, 238, 385, 532)(92, 239, 386, 533)(93, 240, 387, 534)(94, 241, 388, 535)(95, 242, 389, 536)(96, 243, 390, 537)(97, 244, 391, 538)(98, 245, 392, 539)(99, 246, 393, 540)(100, 247, 394, 541)(101, 248, 395, 542)(102, 249, 396, 543)(103, 250, 397, 544)(104, 251, 398, 545)(105, 252, 399, 546)(106, 253, 400, 547)(107, 254, 401, 548)(108, 255, 402, 549)(109, 256, 403, 550)(110, 257, 404, 551)(111, 258, 405, 552)(112, 259, 406, 553)(113, 260, 407, 554)(114, 261, 408, 555)(115, 262, 409, 556)(116, 263, 410, 557)(117, 264, 411, 558)(118, 265, 412, 559)(119, 266, 413, 560)(120, 267, 414, 561)(121, 268, 415, 562)(122, 269, 416, 563)(123, 270, 417, 564)(124, 271, 418, 565)(125, 272, 419, 566)(126, 273, 420, 567)(127, 274, 421, 568)(128, 275, 422, 569)(129, 276, 423, 570)(130, 277, 424, 571)(131, 278, 425, 572)(132, 279, 426, 573)(133, 280, 427, 574)(134, 281, 428, 575)(135, 282, 429, 576)(136, 283, 430, 577)(137, 284, 431, 578)(138, 285, 432, 579)(139, 286, 433, 580)(140, 287, 434, 581)(141, 288, 435, 582)(142, 289, 436, 583)(143, 290, 437, 584)(144, 291, 438, 585)(145, 292, 439, 586)(146, 293, 440, 587)(147, 294, 441, 588)
	L = (1, 149)(2, 151)(3, 155)(4, 148)(5, 159)(6, 161)(7, 163)(8, 156)(9, 150)(10, 168)(11, 170)(12, 160)(13, 152)(14, 162)(15, 153)(16, 164)(17, 154)(18, 180)(19, 173)(20, 183)(21, 169)(22, 157)(23, 171)(24, 158)(25, 189)(26, 182)(27, 191)(28, 193)(29, 178)(30, 196)(31, 195)(32, 198)(33, 181)(34, 165)(35, 166)(36, 184)(37, 167)(38, 206)(39, 187)(40, 208)(41, 209)(42, 190)(43, 172)(44, 192)(45, 174)(46, 194)(47, 175)(48, 176)(49, 197)(50, 177)(51, 199)(52, 179)(53, 223)(54, 203)(55, 226)(56, 225)(57, 213)(58, 229)(59, 207)(60, 185)(61, 186)(62, 210)(63, 188)(64, 237)(65, 239)(66, 228)(67, 241)(68, 243)(69, 218)(70, 246)(71, 245)(72, 221)(73, 249)(74, 248)(75, 251)(76, 224)(77, 200)(78, 201)(79, 227)(80, 202)(81, 204)(82, 230)(83, 205)(84, 262)(85, 233)(86, 264)(87, 235)(88, 265)(89, 266)(90, 238)(91, 211)(92, 240)(93, 212)(94, 242)(95, 214)(96, 244)(97, 215)(98, 216)(99, 247)(100, 217)(101, 219)(102, 250)(103, 220)(104, 252)(105, 222)(106, 284)(107, 256)(108, 286)(109, 273)(110, 259)(111, 288)(112, 275)(113, 271)(114, 290)(115, 263)(116, 231)(117, 232)(118, 234)(119, 267)(120, 236)(121, 277)(122, 280)(123, 283)(124, 278)(125, 294)(126, 254)(127, 276)(128, 257)(129, 292)(130, 279)(131, 260)(132, 268)(133, 282)(134, 272)(135, 269)(136, 293)(137, 285)(138, 253)(139, 287)(140, 255)(141, 289)(142, 258)(143, 291)(144, 261)(145, 274)(146, 270)(147, 281)(295, 444)(296, 447)(297, 446)(298, 451)(299, 442)(300, 448)(301, 443)(302, 459)(303, 457)(304, 452)(305, 445)(306, 466)(307, 467)(308, 469)(309, 464)(310, 461)(311, 472)(312, 460)(313, 449)(314, 450)(315, 479)(316, 453)(317, 471)(318, 481)(319, 463)(320, 468)(321, 454)(322, 470)(323, 455)(324, 456)(325, 473)(326, 458)(327, 494)(328, 477)(329, 497)(330, 496)(331, 492)(332, 480)(333, 462)(334, 482)(335, 465)(336, 505)(337, 485)(338, 506)(339, 507)(340, 509)(341, 490)(342, 512)(343, 511)(344, 503)(345, 499)(346, 515)(347, 495)(348, 474)(349, 475)(350, 498)(351, 476)(352, 478)(353, 525)(354, 483)(355, 527)(356, 514)(357, 529)(358, 501)(359, 484)(360, 508)(361, 486)(362, 510)(363, 487)(364, 488)(365, 513)(366, 489)(367, 491)(368, 516)(369, 493)(370, 547)(371, 520)(372, 550)(373, 549)(374, 523)(375, 553)(376, 552)(377, 545)(378, 526)(379, 500)(380, 528)(381, 502)(382, 530)(383, 504)(384, 562)(385, 533)(386, 563)(387, 535)(388, 564)(389, 565)(390, 567)(391, 540)(392, 570)(393, 569)(394, 543)(395, 573)(396, 572)(397, 560)(398, 555)(399, 576)(400, 548)(401, 517)(402, 518)(403, 551)(404, 519)(405, 521)(406, 554)(407, 522)(408, 524)(409, 586)(410, 531)(411, 579)(412, 581)(413, 575)(414, 583)(415, 557)(416, 532)(417, 534)(418, 566)(419, 536)(420, 568)(421, 537)(422, 538)(423, 571)(424, 539)(425, 541)(426, 574)(427, 542)(428, 544)(429, 577)(430, 546)(431, 556)(432, 580)(433, 558)(434, 582)(435, 559)(436, 584)(437, 561)(438, 587)(439, 578)(440, 588)(441, 585)
	local type(s) :: { ( 3, 98, 3, 98 ) }
Outer automorphisms :: reflexible
Dual of E24.1986
Transitivity :: VT+
Graph:: simple
	v = 147 e = 294 f = 101
	degree seq :: [ 4^147 ]

E24.1990 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 26})
Quotient :: edge
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = (C26 x C2) : C3 (small group id <156, 14>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, (X2^-1 * X1)^3, (X2^-1 * X1^-1)^3, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1, X2^-2 * X1 * X2^6 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 28, 30)(12, 31, 22)(15, 35, 36)(17, 39, 41)(21, 45, 46)(23, 49, 44)(25, 53, 55)(27, 57, 51)(29, 60, 62)(32, 64, 65)(33, 67, 42)(34, 59, 70)(37, 73, 74)(38, 76, 48)(40, 79, 81)(43, 84, 63)(47, 89, 90)(50, 93, 88)(52, 95, 86)(54, 98, 100)(56, 102, 96)(58, 104, 105)(61, 108, 110)(66, 114, 115)(68, 117, 82)(69, 99, 119)(71, 120, 83)(72, 107, 121)(75, 123, 103)(77, 124, 113)(78, 126, 92)(80, 128, 129)(85, 133, 111)(87, 135, 112)(91, 137, 131)(94, 139, 130)(97, 140, 134)(101, 143, 141)(106, 145, 146)(109, 148, 149)(116, 153, 151)(118, 147, 142)(122, 144, 132)(125, 154, 150)(127, 155, 138)(136, 156, 152)(157, 159, 165, 181, 210, 255, 216, 240, 202, 244, 285, 311, 304, 310, 309, 312, 287, 238, 197, 232, 220, 260, 231, 193, 171, 161)(158, 162, 173, 196, 236, 208, 180, 207, 221, 269, 305, 298, 254, 297, 279, 302, 307, 267, 218, 226, 191, 227, 247, 203, 177, 163)(160, 167, 185, 217, 265, 234, 195, 223, 192, 228, 256, 296, 284, 295, 293, 300, 259, 212, 182, 205, 201, 243, 272, 222, 188, 168)(164, 178, 204, 248, 294, 253, 209, 252, 261, 271, 306, 266, 275, 277, 229, 278, 308, 268, 219, 186, 169, 189, 224, 250, 206, 179)(166, 175, 199, 241, 281, 233, 194, 172, 170, 190, 225, 274, 283, 235, 273, 276, 230, 257, 211, 251, 249, 245, 292, 262, 214, 183)(174, 187, 213, 258, 299, 263, 215, 184, 176, 200, 242, 290, 303, 264, 289, 291, 246, 286, 237, 282, 280, 270, 301, 288, 239, 198)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 6^3 ), ( 6^26 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 58 e = 156 f = 52
	degree seq :: [ 3^52, 26^6 ]

E24.1991 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 26})
Quotient :: loop
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = (C26 x C2) : C3 (small group id <156, 14>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1)^3, X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2, (X1^-1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2)^2, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 157, 2, 158, 4, 160)(3, 159, 8, 164, 9, 165)(5, 161, 12, 168, 13, 169)(6, 162, 14, 170, 15, 171)(7, 163, 16, 172, 17, 173)(10, 166, 21, 177, 22, 178)(11, 167, 23, 179, 24, 180)(18, 174, 33, 189, 34, 190)(19, 175, 26, 182, 35, 191)(20, 176, 36, 192, 37, 193)(25, 181, 42, 198, 43, 199)(27, 183, 44, 200, 45, 201)(28, 184, 46, 202, 47, 203)(29, 185, 31, 187, 48, 204)(30, 186, 49, 205, 50, 206)(32, 188, 51, 207, 52, 208)(38, 194, 59, 215, 60, 216)(39, 195, 40, 196, 61, 217)(41, 197, 62, 218, 63, 219)(53, 209, 76, 232, 77, 233)(54, 210, 56, 212, 78, 234)(55, 211, 79, 235, 80, 236)(57, 213, 66, 222, 81, 237)(58, 214, 82, 238, 83, 239)(64, 220, 90, 246, 91, 247)(65, 221, 92, 248, 93, 249)(67, 223, 94, 250, 95, 251)(68, 224, 96, 252, 97, 253)(69, 225, 71, 227, 98, 254)(70, 226, 99, 255, 100, 256)(72, 228, 74, 230, 101, 257)(73, 229, 102, 258, 103, 259)(75, 231, 104, 260, 105, 261)(84, 240, 115, 271, 116, 272)(85, 241, 86, 242, 117, 273)(87, 243, 88, 244, 118, 274)(89, 245, 119, 275, 120, 276)(106, 262, 137, 293, 138, 294)(107, 263, 109, 265, 139, 295)(108, 264, 140, 296, 141, 297)(110, 266, 112, 268, 126, 282)(111, 267, 142, 298, 143, 299)(113, 269, 124, 280, 128, 284)(114, 270, 144, 300, 145, 301)(121, 277, 133, 289, 135, 291)(122, 278, 136, 292, 149, 305)(123, 279, 150, 306, 151, 307)(125, 281, 152, 308, 131, 287)(127, 283, 129, 285, 153, 309)(130, 286, 132, 288, 146, 302)(134, 290, 154, 310, 155, 311)(147, 303, 148, 304, 156, 312)
	L = (1, 159)(2, 162)(3, 161)(4, 166)(5, 157)(6, 163)(7, 158)(8, 174)(9, 172)(10, 167)(11, 160)(12, 181)(13, 182)(14, 184)(15, 179)(16, 176)(17, 187)(18, 175)(19, 164)(20, 165)(21, 194)(22, 168)(23, 186)(24, 196)(25, 178)(26, 183)(27, 169)(28, 185)(29, 170)(30, 171)(31, 188)(32, 173)(33, 209)(34, 192)(35, 212)(36, 211)(37, 207)(38, 195)(39, 177)(40, 197)(41, 180)(42, 220)(43, 200)(44, 221)(45, 222)(46, 224)(47, 205)(48, 227)(49, 226)(50, 218)(51, 214)(52, 230)(53, 210)(54, 189)(55, 190)(56, 213)(57, 191)(58, 193)(59, 240)(60, 198)(61, 242)(62, 229)(63, 244)(64, 216)(65, 199)(66, 223)(67, 201)(68, 225)(69, 202)(70, 203)(71, 228)(72, 204)(73, 206)(74, 231)(75, 208)(76, 262)(77, 235)(78, 265)(79, 264)(80, 238)(81, 268)(82, 267)(83, 260)(84, 241)(85, 215)(86, 243)(87, 217)(88, 245)(89, 219)(90, 277)(91, 248)(92, 278)(93, 250)(94, 279)(95, 280)(96, 282)(97, 255)(98, 285)(99, 284)(100, 258)(101, 288)(102, 287)(103, 275)(104, 270)(105, 291)(106, 263)(107, 232)(108, 233)(109, 266)(110, 234)(111, 236)(112, 269)(113, 237)(114, 239)(115, 302)(116, 246)(117, 304)(118, 294)(119, 290)(120, 297)(121, 272)(122, 247)(123, 249)(124, 281)(125, 251)(126, 283)(127, 252)(128, 253)(129, 286)(130, 254)(131, 256)(132, 289)(133, 257)(134, 259)(135, 292)(136, 261)(137, 273)(138, 296)(139, 312)(140, 274)(141, 298)(142, 276)(143, 300)(144, 311)(145, 305)(146, 303)(147, 271)(148, 293)(149, 306)(150, 301)(151, 308)(152, 310)(153, 295)(154, 307)(155, 299)(156, 309)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 52 e = 156 f = 58
	degree seq :: [ 6^52 ]

E24.1992 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 26})
Quotient :: loop
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = ((C26 x C2) : C3) : C2 (small group id <312, 51>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T1^-1 * T2)^3, (T1^-1 * T2)^3, (T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2)^2, T2 * T1 * T2 * 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 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 53, 54)(34, 36, 55)(35, 56, 57)(37, 51, 58)(42, 64, 60)(43, 44, 65)(45, 66, 67)(46, 68, 69)(47, 49, 70)(48, 71, 72)(50, 62, 73)(52, 74, 75)(59, 84, 85)(61, 86, 87)(63, 88, 89)(76, 106, 107)(77, 79, 108)(78, 109, 110)(80, 82, 111)(81, 112, 113)(83, 104, 114)(90, 121, 116)(91, 92, 122)(93, 94, 123)(95, 124, 125)(96, 126, 127)(97, 99, 128)(98, 129, 130)(100, 102, 131)(101, 132, 133)(103, 119, 134)(105, 135, 136)(115, 146, 147)(117, 148, 137)(118, 138, 140)(120, 141, 142)(139, 156, 153)(143, 144, 155)(145, 149, 150)(151, 152, 154)(157, 158, 160)(159, 164, 165)(161, 168, 169)(162, 170, 171)(163, 172, 173)(166, 177, 178)(167, 179, 180)(174, 189, 190)(175, 182, 191)(176, 192, 193)(181, 198, 199)(183, 200, 201)(184, 202, 203)(185, 187, 204)(186, 205, 206)(188, 207, 208)(194, 215, 216)(195, 196, 217)(197, 218, 219)(209, 232, 233)(210, 212, 234)(211, 235, 236)(213, 222, 237)(214, 238, 239)(220, 246, 247)(221, 248, 249)(223, 250, 251)(224, 252, 253)(225, 227, 254)(226, 255, 256)(228, 230, 257)(229, 258, 259)(231, 260, 261)(240, 271, 272)(241, 242, 273)(243, 244, 274)(245, 275, 276)(262, 293, 294)(263, 265, 295)(264, 296, 297)(266, 268, 282)(267, 298, 299)(269, 280, 284)(270, 300, 301)(277, 289, 291)(278, 292, 305)(279, 306, 307)(281, 308, 287)(283, 285, 309)(286, 288, 302)(290, 310, 311)(303, 304, 312)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 52^3 ) }
Outer automorphisms :: reflexible
Dual of E24.1993
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 104 e = 156 f = 6
	degree seq :: [ 3^104 ]

E24.1993 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 26})
Quotient :: edge
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = ((C26 x C2) : C3) : C2 (small group id <312, 51>)
|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^-1 * T1^-1)^3, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1, (T1^-1 * T2 * T1 * F)^2, T2^-5 * T1^-1 * T2^2 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 157, 3, 159, 9, 165, 25, 181, 54, 210, 99, 255, 60, 216, 84, 240, 46, 202, 88, 244, 129, 285, 155, 311, 148, 304, 154, 310, 153, 309, 156, 312, 131, 287, 82, 238, 41, 197, 76, 232, 64, 220, 104, 260, 75, 231, 37, 193, 15, 171, 5, 161)(2, 158, 6, 162, 17, 173, 40, 196, 80, 236, 52, 208, 24, 180, 51, 207, 65, 221, 113, 269, 149, 305, 142, 298, 98, 254, 141, 297, 123, 279, 146, 302, 151, 307, 111, 267, 62, 218, 70, 226, 35, 191, 71, 227, 91, 247, 47, 203, 21, 177, 7, 163)(4, 160, 11, 167, 29, 185, 61, 217, 109, 265, 78, 234, 39, 195, 67, 223, 36, 192, 72, 228, 100, 256, 140, 296, 128, 284, 139, 295, 137, 293, 144, 300, 103, 259, 56, 212, 26, 182, 49, 205, 45, 201, 87, 243, 116, 272, 66, 222, 32, 188, 12, 168)(8, 164, 22, 178, 48, 204, 92, 248, 138, 294, 97, 253, 53, 209, 96, 252, 105, 261, 115, 271, 150, 306, 110, 266, 119, 275, 121, 277, 73, 229, 122, 278, 152, 308, 112, 268, 63, 219, 30, 186, 13, 169, 33, 189, 68, 224, 94, 250, 50, 206, 23, 179)(10, 166, 19, 175, 43, 199, 85, 241, 125, 281, 77, 233, 38, 194, 16, 172, 14, 170, 34, 190, 69, 225, 118, 274, 127, 283, 79, 235, 117, 273, 120, 276, 74, 230, 101, 257, 55, 211, 95, 251, 93, 249, 89, 245, 136, 292, 106, 262, 58, 214, 27, 183)(18, 174, 31, 187, 57, 213, 102, 258, 143, 299, 107, 263, 59, 215, 28, 184, 20, 176, 44, 200, 86, 242, 134, 290, 147, 303, 108, 264, 133, 289, 135, 291, 90, 246, 130, 286, 81, 237, 126, 282, 124, 280, 114, 270, 145, 301, 132, 288, 83, 239, 42, 198)
	L = (1, 158)(2, 160)(3, 164)(4, 157)(5, 169)(6, 172)(7, 175)(8, 166)(9, 180)(10, 159)(11, 184)(12, 187)(13, 170)(14, 161)(15, 191)(16, 174)(17, 195)(18, 162)(19, 176)(20, 163)(21, 201)(22, 168)(23, 205)(24, 182)(25, 209)(26, 165)(27, 213)(28, 186)(29, 216)(30, 167)(31, 178)(32, 220)(33, 223)(34, 215)(35, 192)(36, 171)(37, 229)(38, 232)(39, 197)(40, 235)(41, 173)(42, 189)(43, 240)(44, 179)(45, 202)(46, 177)(47, 245)(48, 194)(49, 200)(50, 249)(51, 183)(52, 251)(53, 211)(54, 254)(55, 181)(56, 258)(57, 207)(58, 260)(59, 226)(60, 218)(61, 264)(62, 185)(63, 199)(64, 221)(65, 188)(66, 270)(67, 198)(68, 273)(69, 255)(70, 190)(71, 276)(72, 263)(73, 230)(74, 193)(75, 279)(76, 204)(77, 280)(78, 282)(79, 237)(80, 284)(81, 196)(82, 224)(83, 227)(84, 219)(85, 289)(86, 208)(87, 291)(88, 206)(89, 246)(90, 203)(91, 293)(92, 234)(93, 244)(94, 295)(95, 242)(96, 212)(97, 296)(98, 256)(99, 275)(100, 210)(101, 299)(102, 252)(103, 231)(104, 261)(105, 214)(106, 301)(107, 277)(108, 266)(109, 304)(110, 217)(111, 241)(112, 243)(113, 233)(114, 271)(115, 222)(116, 309)(117, 238)(118, 303)(119, 225)(120, 239)(121, 228)(122, 300)(123, 259)(124, 269)(125, 310)(126, 248)(127, 311)(128, 285)(129, 236)(130, 250)(131, 247)(132, 278)(133, 267)(134, 253)(135, 268)(136, 312)(137, 287)(138, 283)(139, 286)(140, 290)(141, 257)(142, 274)(143, 297)(144, 288)(145, 302)(146, 262)(147, 298)(148, 305)(149, 265)(150, 281)(151, 272)(152, 292)(153, 307)(154, 306)(155, 294)(156, 308)
	local type(s) :: { ( 3^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1992
Transitivity :: ET+ VT+
Graph::
	v = 6 e = 156 f = 104
	degree seq :: [ 52^6 ]

E24.1994 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 26})
Quotient :: edge^2
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = ((C26 x C2) : C3) : C2 (small group id <312, 51>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2, (Y3 * Y1^-1)^3, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, Y3 * Y2 * Y3^-5 * Y1 * Y3, (Y3^2 * Y2^-1 * Y3^-1 * Y1^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^3 ]
Map:: polytopal non-degenerate
	R = (1, 157, 4, 160, 15, 171, 40, 196, 83, 239, 59, 215, 61, 217, 64, 220, 35, 191, 74, 230, 130, 286, 152, 308, 153, 309, 154, 310, 155, 311, 156, 312, 135, 291, 95, 251, 47, 203, 67, 223, 69, 225, 99, 255, 109, 265, 57, 213, 23, 179, 7, 163)(2, 158, 8, 164, 25, 181, 60, 216, 112, 268, 91, 247, 93, 249, 96, 252, 55, 211, 104, 260, 85, 241, 128, 284, 131, 287, 133, 289, 136, 292, 142, 298, 89, 245, 43, 199, 17, 173, 33, 189, 36, 192, 76, 232, 126, 282, 70, 226, 31, 187, 10, 166)(3, 159, 5, 161, 18, 174, 45, 201, 92, 248, 81, 237, 39, 195, 41, 197, 49, 205, 68, 224, 122, 278, 114, 270, 138, 294, 139, 295, 140, 296, 141, 297, 148, 304, 117, 273, 63, 219, 27, 183, 53, 209, 56, 212, 106, 262, 79, 235, 37, 193, 13, 169)(6, 162, 12, 168, 34, 190, 73, 229, 129, 285, 90, 246, 44, 200, 46, 202, 21, 177, 52, 208, 101, 257, 150, 306, 143, 299, 144, 300, 145, 301, 146, 302, 107, 263, 86, 242, 42, 198, 72, 228, 75, 231, 78, 234, 134, 290, 100, 256, 51, 207, 20, 176)(9, 165, 22, 178, 54, 210, 103, 259, 80, 236, 38, 194, 14, 170, 16, 172, 29, 185, 66, 222, 120, 276, 137, 293, 82, 238, 84, 240, 87, 243, 98, 254, 124, 280, 115, 271, 62, 218, 102, 258, 105, 261, 108, 264, 151, 307, 119, 275, 65, 221, 28, 184)(11, 167, 32, 188, 71, 227, 127, 283, 111, 267, 113, 269, 116, 272, 118, 274, 77, 233, 132, 288, 94, 250, 121, 277, 123, 279, 125, 281, 149, 305, 147, 303, 97, 253, 48, 204, 19, 175, 30, 186, 50, 206, 88, 244, 110, 266, 58, 214, 24, 180, 26, 182)(313, 314, 317)(315, 323, 324)(316, 318, 328)(319, 333, 334)(320, 321, 338)(322, 341, 342)(325, 347, 348)(326, 344, 345)(327, 329, 353)(330, 331, 358)(332, 361, 362)(335, 367, 368)(336, 364, 365)(337, 339, 373)(340, 376, 346)(343, 380, 381)(349, 389, 390)(350, 386, 387)(351, 383, 384)(352, 354, 396)(355, 399, 400)(356, 378, 379)(357, 359, 405)(360, 408, 366)(363, 410, 411)(369, 419, 420)(370, 416, 417)(371, 413, 414)(372, 374, 425)(375, 428, 385)(377, 430, 388)(382, 436, 437)(391, 447, 448)(392, 444, 445)(393, 442, 443)(394, 439, 440)(395, 397, 451)(398, 452, 422)(401, 453, 421)(402, 434, 435)(403, 432, 433)(404, 406, 456)(407, 457, 415)(409, 458, 418)(412, 460, 461)(423, 462, 450)(424, 426, 465)(427, 466, 441)(429, 467, 438)(431, 468, 446)(449, 464, 455)(454, 463, 459)(469, 471, 474)(470, 475, 477)(472, 482, 485)(473, 478, 487)(476, 492, 495)(479, 481, 501)(480, 494, 496)(483, 507, 510)(484, 488, 498)(486, 512, 515)(489, 491, 521)(490, 514, 516)(493, 527, 530)(497, 499, 535)(500, 506, 540)(502, 529, 531)(503, 505, 543)(504, 532, 533)(508, 550, 553)(509, 511, 518)(513, 559, 562)(517, 519, 537)(520, 526, 570)(522, 561, 563)(523, 525, 573)(524, 564, 565)(528, 579, 582)(534, 558, 589)(536, 538, 591)(539, 549, 596)(541, 581, 583)(542, 548, 599)(544, 584, 585)(545, 547, 601)(546, 586, 587)(551, 606, 569)(552, 554, 556)(555, 557, 567)(560, 611, 598)(566, 568, 593)(571, 612, 600)(572, 578, 607)(574, 613, 603)(575, 577, 608)(576, 614, 615)(580, 620, 588)(590, 597, 621)(592, 594, 622)(595, 605, 618)(602, 623, 616)(604, 624, 619)(609, 610, 617)
	L = (1, 313)(2, 314)(3, 315)(4, 316)(5, 317)(6, 318)(7, 319)(8, 320)(9, 321)(10, 322)(11, 323)(12, 324)(13, 325)(14, 326)(15, 327)(16, 328)(17, 329)(18, 330)(19, 331)(20, 332)(21, 333)(22, 334)(23, 335)(24, 336)(25, 337)(26, 338)(27, 339)(28, 340)(29, 341)(30, 342)(31, 343)(32, 344)(33, 345)(34, 346)(35, 347)(36, 348)(37, 349)(38, 350)(39, 351)(40, 352)(41, 353)(42, 354)(43, 355)(44, 356)(45, 357)(46, 358)(47, 359)(48, 360)(49, 361)(50, 362)(51, 363)(52, 364)(53, 365)(54, 366)(55, 367)(56, 368)(57, 369)(58, 370)(59, 371)(60, 372)(61, 373)(62, 374)(63, 375)(64, 376)(65, 377)(66, 378)(67, 379)(68, 380)(69, 381)(70, 382)(71, 383)(72, 384)(73, 385)(74, 386)(75, 387)(76, 388)(77, 389)(78, 390)(79, 391)(80, 392)(81, 393)(82, 394)(83, 395)(84, 396)(85, 397)(86, 398)(87, 399)(88, 400)(89, 401)(90, 402)(91, 403)(92, 404)(93, 405)(94, 406)(95, 407)(96, 408)(97, 409)(98, 410)(99, 411)(100, 412)(101, 413)(102, 414)(103, 415)(104, 416)(105, 417)(106, 418)(107, 419)(108, 420)(109, 421)(110, 422)(111, 423)(112, 424)(113, 425)(114, 426)(115, 427)(116, 428)(117, 429)(118, 430)(119, 431)(120, 432)(121, 433)(122, 434)(123, 435)(124, 436)(125, 437)(126, 438)(127, 439)(128, 440)(129, 441)(130, 442)(131, 443)(132, 444)(133, 445)(134, 446)(135, 447)(136, 448)(137, 449)(138, 450)(139, 451)(140, 452)(141, 453)(142, 454)(143, 455)(144, 456)(145, 457)(146, 458)(147, 459)(148, 460)(149, 461)(150, 462)(151, 463)(152, 464)(153, 465)(154, 466)(155, 467)(156, 468)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 4^3 ), ( 4^52 ) }
Outer automorphisms :: reflexible
Dual of E24.1997
Graph:: simple bipartite
	v = 110 e = 312 f = 156
	degree seq :: [ 3^104, 52^6 ]

E24.1995 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 26})
Quotient :: edge^2
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = ((C26 x C2) : C3) : C2 (small group id <312, 51>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^3, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^26 ]
Map:: polytopal
	R = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)(313, 314, 316)(315, 320, 321)(317, 324, 325)(318, 326, 327)(319, 328, 329)(322, 333, 334)(323, 335, 336)(330, 345, 346)(331, 338, 347)(332, 348, 349)(337, 354, 355)(339, 356, 357)(340, 358, 359)(341, 343, 360)(342, 361, 362)(344, 363, 364)(350, 371, 372)(351, 352, 373)(353, 374, 375)(365, 388, 389)(366, 368, 390)(367, 391, 392)(369, 378, 393)(370, 394, 395)(376, 402, 403)(377, 404, 405)(379, 406, 407)(380, 408, 409)(381, 383, 410)(382, 411, 412)(384, 386, 413)(385, 414, 415)(387, 416, 417)(396, 427, 428)(397, 398, 429)(399, 400, 430)(401, 431, 432)(418, 449, 450)(419, 421, 451)(420, 452, 453)(422, 424, 438)(423, 454, 455)(425, 436, 440)(426, 456, 457)(433, 445, 447)(434, 448, 461)(435, 462, 463)(437, 464, 443)(439, 441, 465)(442, 444, 458)(446, 466, 467)(459, 460, 468)(469, 471, 473)(470, 474, 475)(472, 478, 479)(476, 486, 487)(477, 484, 488)(480, 493, 490)(481, 494, 495)(482, 496, 497)(483, 491, 498)(485, 499, 500)(489, 506, 507)(492, 508, 509)(501, 521, 522)(502, 504, 523)(503, 524, 525)(505, 519, 526)(510, 532, 528)(511, 512, 533)(513, 534, 535)(514, 536, 537)(515, 517, 538)(516, 539, 540)(518, 530, 541)(520, 542, 543)(527, 552, 553)(529, 554, 555)(531, 556, 557)(544, 574, 575)(545, 547, 576)(546, 577, 578)(548, 550, 579)(549, 580, 581)(551, 572, 582)(558, 589, 584)(559, 560, 590)(561, 562, 591)(563, 592, 593)(564, 594, 595)(565, 567, 596)(566, 597, 598)(568, 570, 599)(569, 600, 601)(571, 587, 602)(573, 603, 604)(583, 614, 615)(585, 616, 605)(586, 606, 608)(588, 609, 610)(607, 624, 621)(611, 612, 623)(613, 617, 618)(619, 620, 622)
	L = (1, 313)(2, 314)(3, 315)(4, 316)(5, 317)(6, 318)(7, 319)(8, 320)(9, 321)(10, 322)(11, 323)(12, 324)(13, 325)(14, 326)(15, 327)(16, 328)(17, 329)(18, 330)(19, 331)(20, 332)(21, 333)(22, 334)(23, 335)(24, 336)(25, 337)(26, 338)(27, 339)(28, 340)(29, 341)(30, 342)(31, 343)(32, 344)(33, 345)(34, 346)(35, 347)(36, 348)(37, 349)(38, 350)(39, 351)(40, 352)(41, 353)(42, 354)(43, 355)(44, 356)(45, 357)(46, 358)(47, 359)(48, 360)(49, 361)(50, 362)(51, 363)(52, 364)(53, 365)(54, 366)(55, 367)(56, 368)(57, 369)(58, 370)(59, 371)(60, 372)(61, 373)(62, 374)(63, 375)(64, 376)(65, 377)(66, 378)(67, 379)(68, 380)(69, 381)(70, 382)(71, 383)(72, 384)(73, 385)(74, 386)(75, 387)(76, 388)(77, 389)(78, 390)(79, 391)(80, 392)(81, 393)(82, 394)(83, 395)(84, 396)(85, 397)(86, 398)(87, 399)(88, 400)(89, 401)(90, 402)(91, 403)(92, 404)(93, 405)(94, 406)(95, 407)(96, 408)(97, 409)(98, 410)(99, 411)(100, 412)(101, 413)(102, 414)(103, 415)(104, 416)(105, 417)(106, 418)(107, 419)(108, 420)(109, 421)(110, 422)(111, 423)(112, 424)(113, 425)(114, 426)(115, 427)(116, 428)(117, 429)(118, 430)(119, 431)(120, 432)(121, 433)(122, 434)(123, 435)(124, 436)(125, 437)(126, 438)(127, 439)(128, 440)(129, 441)(130, 442)(131, 443)(132, 444)(133, 445)(134, 446)(135, 447)(136, 448)(137, 449)(138, 450)(139, 451)(140, 452)(141, 453)(142, 454)(143, 455)(144, 456)(145, 457)(146, 458)(147, 459)(148, 460)(149, 461)(150, 462)(151, 463)(152, 464)(153, 465)(154, 466)(155, 467)(156, 468)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 104, 104 ), ( 104^3 ) }
Outer automorphisms :: reflexible
Dual of E24.1996
Graph:: simple bipartite
	v = 260 e = 312 f = 6
	degree seq :: [ 2^156, 3^104 ]

E24.1996 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 26})
Quotient :: loop^2
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = ((C26 x C2) : C3) : C2 (small group id <312, 51>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2, (Y3 * Y1^-1)^3, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, Y3 * Y2 * Y3^-5 * Y1 * Y3, (Y3^2 * Y2^-1 * Y3^-1 * Y1^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^3 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^3 ]
Map::
	R = (1, 157, 313, 469, 4, 160, 316, 472, 15, 171, 327, 483, 40, 196, 352, 508, 83, 239, 395, 551, 59, 215, 371, 527, 61, 217, 373, 529, 64, 220, 376, 532, 35, 191, 347, 503, 74, 230, 386, 542, 130, 286, 442, 598, 152, 308, 464, 620, 153, 309, 465, 621, 154, 310, 466, 622, 155, 311, 467, 623, 156, 312, 468, 624, 135, 291, 447, 603, 95, 251, 407, 563, 47, 203, 359, 515, 67, 223, 379, 535, 69, 225, 381, 537, 99, 255, 411, 567, 109, 265, 421, 577, 57, 213, 369, 525, 23, 179, 335, 491, 7, 163, 319, 475)(2, 158, 314, 470, 8, 164, 320, 476, 25, 181, 337, 493, 60, 216, 372, 528, 112, 268, 424, 580, 91, 247, 403, 559, 93, 249, 405, 561, 96, 252, 408, 564, 55, 211, 367, 523, 104, 260, 416, 572, 85, 241, 397, 553, 128, 284, 440, 596, 131, 287, 443, 599, 133, 289, 445, 601, 136, 292, 448, 604, 142, 298, 454, 610, 89, 245, 401, 557, 43, 199, 355, 511, 17, 173, 329, 485, 33, 189, 345, 501, 36, 192, 348, 504, 76, 232, 388, 544, 126, 282, 438, 594, 70, 226, 382, 538, 31, 187, 343, 499, 10, 166, 322, 478)(3, 159, 315, 471, 5, 161, 317, 473, 18, 174, 330, 486, 45, 201, 357, 513, 92, 248, 404, 560, 81, 237, 393, 549, 39, 195, 351, 507, 41, 197, 353, 509, 49, 205, 361, 517, 68, 224, 380, 536, 122, 278, 434, 590, 114, 270, 426, 582, 138, 294, 450, 606, 139, 295, 451, 607, 140, 296, 452, 608, 141, 297, 453, 609, 148, 304, 460, 616, 117, 273, 429, 585, 63, 219, 375, 531, 27, 183, 339, 495, 53, 209, 365, 521, 56, 212, 368, 524, 106, 262, 418, 574, 79, 235, 391, 547, 37, 193, 349, 505, 13, 169, 325, 481)(6, 162, 318, 474, 12, 168, 324, 480, 34, 190, 346, 502, 73, 229, 385, 541, 129, 285, 441, 597, 90, 246, 402, 558, 44, 200, 356, 512, 46, 202, 358, 514, 21, 177, 333, 489, 52, 208, 364, 520, 101, 257, 413, 569, 150, 306, 462, 618, 143, 299, 455, 611, 144, 300, 456, 612, 145, 301, 457, 613, 146, 302, 458, 614, 107, 263, 419, 575, 86, 242, 398, 554, 42, 198, 354, 510, 72, 228, 384, 540, 75, 231, 387, 543, 78, 234, 390, 546, 134, 290, 446, 602, 100, 256, 412, 568, 51, 207, 363, 519, 20, 176, 332, 488)(9, 165, 321, 477, 22, 178, 334, 490, 54, 210, 366, 522, 103, 259, 415, 571, 80, 236, 392, 548, 38, 194, 350, 506, 14, 170, 326, 482, 16, 172, 328, 484, 29, 185, 341, 497, 66, 222, 378, 534, 120, 276, 432, 588, 137, 293, 449, 605, 82, 238, 394, 550, 84, 240, 396, 552, 87, 243, 399, 555, 98, 254, 410, 566, 124, 280, 436, 592, 115, 271, 427, 583, 62, 218, 374, 530, 102, 258, 414, 570, 105, 261, 417, 573, 108, 264, 420, 576, 151, 307, 463, 619, 119, 275, 431, 587, 65, 221, 377, 533, 28, 184, 340, 496)(11, 167, 323, 479, 32, 188, 344, 500, 71, 227, 383, 539, 127, 283, 439, 595, 111, 267, 423, 579, 113, 269, 425, 581, 116, 272, 428, 584, 118, 274, 430, 586, 77, 233, 389, 545, 132, 288, 444, 600, 94, 250, 406, 562, 121, 277, 433, 589, 123, 279, 435, 591, 125, 281, 437, 593, 149, 305, 461, 617, 147, 303, 459, 615, 97, 253, 409, 565, 48, 204, 360, 516, 19, 175, 331, 487, 30, 186, 342, 498, 50, 206, 362, 518, 88, 244, 400, 556, 110, 266, 422, 578, 58, 214, 370, 526, 24, 180, 336, 492, 26, 182, 338, 494)
	L = (1, 158)(2, 161)(3, 167)(4, 162)(5, 157)(6, 172)(7, 177)(8, 165)(9, 182)(10, 185)(11, 168)(12, 159)(13, 191)(14, 188)(15, 173)(16, 160)(17, 197)(18, 175)(19, 202)(20, 205)(21, 178)(22, 163)(23, 211)(24, 208)(25, 183)(26, 164)(27, 217)(28, 220)(29, 186)(30, 166)(31, 224)(32, 189)(33, 170)(34, 184)(35, 192)(36, 169)(37, 233)(38, 230)(39, 227)(40, 198)(41, 171)(42, 240)(43, 243)(44, 222)(45, 203)(46, 174)(47, 249)(48, 252)(49, 206)(50, 176)(51, 254)(52, 209)(53, 180)(54, 204)(55, 212)(56, 179)(57, 263)(58, 260)(59, 257)(60, 218)(61, 181)(62, 269)(63, 272)(64, 190)(65, 274)(66, 223)(67, 200)(68, 225)(69, 187)(70, 280)(71, 228)(72, 195)(73, 219)(74, 231)(75, 194)(76, 221)(77, 234)(78, 193)(79, 291)(80, 288)(81, 286)(82, 283)(83, 241)(84, 196)(85, 295)(86, 296)(87, 244)(88, 199)(89, 297)(90, 278)(91, 276)(92, 250)(93, 201)(94, 300)(95, 301)(96, 210)(97, 302)(98, 255)(99, 207)(100, 304)(101, 258)(102, 215)(103, 251)(104, 261)(105, 214)(106, 253)(107, 264)(108, 213)(109, 245)(110, 242)(111, 306)(112, 270)(113, 216)(114, 309)(115, 310)(116, 229)(117, 311)(118, 232)(119, 312)(120, 277)(121, 247)(122, 279)(123, 246)(124, 281)(125, 226)(126, 273)(127, 284)(128, 238)(129, 271)(130, 287)(131, 237)(132, 289)(133, 236)(134, 275)(135, 292)(136, 235)(137, 308)(138, 267)(139, 239)(140, 266)(141, 265)(142, 307)(143, 293)(144, 248)(145, 259)(146, 262)(147, 298)(148, 305)(149, 256)(150, 294)(151, 303)(152, 299)(153, 268)(154, 285)(155, 282)(156, 290)(313, 471)(314, 475)(315, 474)(316, 482)(317, 478)(318, 469)(319, 477)(320, 492)(321, 470)(322, 487)(323, 481)(324, 494)(325, 501)(326, 485)(327, 507)(328, 488)(329, 472)(330, 512)(331, 473)(332, 498)(333, 491)(334, 514)(335, 521)(336, 495)(337, 527)(338, 496)(339, 476)(340, 480)(341, 499)(342, 484)(343, 535)(344, 506)(345, 479)(346, 529)(347, 505)(348, 532)(349, 543)(350, 540)(351, 510)(352, 550)(353, 511)(354, 483)(355, 518)(356, 515)(357, 559)(358, 516)(359, 486)(360, 490)(361, 519)(362, 509)(363, 537)(364, 526)(365, 489)(366, 561)(367, 525)(368, 564)(369, 573)(370, 570)(371, 530)(372, 579)(373, 531)(374, 493)(375, 502)(376, 533)(377, 504)(378, 558)(379, 497)(380, 538)(381, 517)(382, 591)(383, 549)(384, 500)(385, 581)(386, 548)(387, 503)(388, 584)(389, 547)(390, 586)(391, 601)(392, 599)(393, 596)(394, 553)(395, 606)(396, 554)(397, 508)(398, 556)(399, 557)(400, 552)(401, 567)(402, 589)(403, 562)(404, 611)(405, 563)(406, 513)(407, 522)(408, 565)(409, 524)(410, 568)(411, 555)(412, 593)(413, 551)(414, 520)(415, 612)(416, 578)(417, 523)(418, 613)(419, 577)(420, 614)(421, 608)(422, 607)(423, 582)(424, 620)(425, 583)(426, 528)(427, 541)(428, 585)(429, 544)(430, 587)(431, 546)(432, 580)(433, 534)(434, 597)(435, 536)(436, 594)(437, 566)(438, 622)(439, 605)(440, 539)(441, 621)(442, 560)(443, 542)(444, 571)(445, 545)(446, 623)(447, 574)(448, 624)(449, 618)(450, 569)(451, 572)(452, 575)(453, 610)(454, 617)(455, 598)(456, 600)(457, 603)(458, 615)(459, 576)(460, 602)(461, 609)(462, 595)(463, 604)(464, 588)(465, 590)(466, 592)(467, 616)(468, 619)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.1995
Transitivity :: VT+
Graph::
	v = 6 e = 312 f = 260
	degree seq :: [ 104^6 ]

E24.1997 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 26})
Quotient :: loop^2
Aut^+ = (C26 x C2) : C3 (small group id <156, 14>)
Aut   = ((C26 x C2) : C3) : C2 (small group id <312, 51>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^3, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^26 ]
Map:: polytopal non-degenerate
	R = (1, 157, 313, 469)(2, 158, 314, 470)(3, 159, 315, 471)(4, 160, 316, 472)(5, 161, 317, 473)(6, 162, 318, 474)(7, 163, 319, 475)(8, 164, 320, 476)(9, 165, 321, 477)(10, 166, 322, 478)(11, 167, 323, 479)(12, 168, 324, 480)(13, 169, 325, 481)(14, 170, 326, 482)(15, 171, 327, 483)(16, 172, 328, 484)(17, 173, 329, 485)(18, 174, 330, 486)(19, 175, 331, 487)(20, 176, 332, 488)(21, 177, 333, 489)(22, 178, 334, 490)(23, 179, 335, 491)(24, 180, 336, 492)(25, 181, 337, 493)(26, 182, 338, 494)(27, 183, 339, 495)(28, 184, 340, 496)(29, 185, 341, 497)(30, 186, 342, 498)(31, 187, 343, 499)(32, 188, 344, 500)(33, 189, 345, 501)(34, 190, 346, 502)(35, 191, 347, 503)(36, 192, 348, 504)(37, 193, 349, 505)(38, 194, 350, 506)(39, 195, 351, 507)(40, 196, 352, 508)(41, 197, 353, 509)(42, 198, 354, 510)(43, 199, 355, 511)(44, 200, 356, 512)(45, 201, 357, 513)(46, 202, 358, 514)(47, 203, 359, 515)(48, 204, 360, 516)(49, 205, 361, 517)(50, 206, 362, 518)(51, 207, 363, 519)(52, 208, 364, 520)(53, 209, 365, 521)(54, 210, 366, 522)(55, 211, 367, 523)(56, 212, 368, 524)(57, 213, 369, 525)(58, 214, 370, 526)(59, 215, 371, 527)(60, 216, 372, 528)(61, 217, 373, 529)(62, 218, 374, 530)(63, 219, 375, 531)(64, 220, 376, 532)(65, 221, 377, 533)(66, 222, 378, 534)(67, 223, 379, 535)(68, 224, 380, 536)(69, 225, 381, 537)(70, 226, 382, 538)(71, 227, 383, 539)(72, 228, 384, 540)(73, 229, 385, 541)(74, 230, 386, 542)(75, 231, 387, 543)(76, 232, 388, 544)(77, 233, 389, 545)(78, 234, 390, 546)(79, 235, 391, 547)(80, 236, 392, 548)(81, 237, 393, 549)(82, 238, 394, 550)(83, 239, 395, 551)(84, 240, 396, 552)(85, 241, 397, 553)(86, 242, 398, 554)(87, 243, 399, 555)(88, 244, 400, 556)(89, 245, 401, 557)(90, 246, 402, 558)(91, 247, 403, 559)(92, 248, 404, 560)(93, 249, 405, 561)(94, 250, 406, 562)(95, 251, 407, 563)(96, 252, 408, 564)(97, 253, 409, 565)(98, 254, 410, 566)(99, 255, 411, 567)(100, 256, 412, 568)(101, 257, 413, 569)(102, 258, 414, 570)(103, 259, 415, 571)(104, 260, 416, 572)(105, 261, 417, 573)(106, 262, 418, 574)(107, 263, 419, 575)(108, 264, 420, 576)(109, 265, 421, 577)(110, 266, 422, 578)(111, 267, 423, 579)(112, 268, 424, 580)(113, 269, 425, 581)(114, 270, 426, 582)(115, 271, 427, 583)(116, 272, 428, 584)(117, 273, 429, 585)(118, 274, 430, 586)(119, 275, 431, 587)(120, 276, 432, 588)(121, 277, 433, 589)(122, 278, 434, 590)(123, 279, 435, 591)(124, 280, 436, 592)(125, 281, 437, 593)(126, 282, 438, 594)(127, 283, 439, 595)(128, 284, 440, 596)(129, 285, 441, 597)(130, 286, 442, 598)(131, 287, 443, 599)(132, 288, 444, 600)(133, 289, 445, 601)(134, 290, 446, 602)(135, 291, 447, 603)(136, 292, 448, 604)(137, 293, 449, 605)(138, 294, 450, 606)(139, 295, 451, 607)(140, 296, 452, 608)(141, 297, 453, 609)(142, 298, 454, 610)(143, 299, 455, 611)(144, 300, 456, 612)(145, 301, 457, 613)(146, 302, 458, 614)(147, 303, 459, 615)(148, 304, 460, 616)(149, 305, 461, 617)(150, 306, 462, 618)(151, 307, 463, 619)(152, 308, 464, 620)(153, 309, 465, 621)(154, 310, 466, 622)(155, 311, 467, 623)(156, 312, 468, 624)
	L = (1, 158)(2, 160)(3, 164)(4, 157)(5, 168)(6, 170)(7, 172)(8, 165)(9, 159)(10, 177)(11, 179)(12, 169)(13, 161)(14, 171)(15, 162)(16, 173)(17, 163)(18, 189)(19, 182)(20, 192)(21, 178)(22, 166)(23, 180)(24, 167)(25, 198)(26, 191)(27, 200)(28, 202)(29, 187)(30, 205)(31, 204)(32, 207)(33, 190)(34, 174)(35, 175)(36, 193)(37, 176)(38, 215)(39, 196)(40, 217)(41, 218)(42, 199)(43, 181)(44, 201)(45, 183)(46, 203)(47, 184)(48, 185)(49, 206)(50, 186)(51, 208)(52, 188)(53, 232)(54, 212)(55, 235)(56, 234)(57, 222)(58, 238)(59, 216)(60, 194)(61, 195)(62, 219)(63, 197)(64, 246)(65, 248)(66, 237)(67, 250)(68, 252)(69, 227)(70, 255)(71, 254)(72, 230)(73, 258)(74, 257)(75, 260)(76, 233)(77, 209)(78, 210)(79, 236)(80, 211)(81, 213)(82, 239)(83, 214)(84, 271)(85, 242)(86, 273)(87, 244)(88, 274)(89, 275)(90, 247)(91, 220)(92, 249)(93, 221)(94, 251)(95, 223)(96, 253)(97, 224)(98, 225)(99, 256)(100, 226)(101, 228)(102, 259)(103, 229)(104, 261)(105, 231)(106, 293)(107, 265)(108, 296)(109, 295)(110, 268)(111, 298)(112, 282)(113, 280)(114, 300)(115, 272)(116, 240)(117, 241)(118, 243)(119, 276)(120, 245)(121, 289)(122, 292)(123, 306)(124, 284)(125, 308)(126, 266)(127, 285)(128, 269)(129, 309)(130, 288)(131, 281)(132, 302)(133, 291)(134, 310)(135, 277)(136, 305)(137, 294)(138, 262)(139, 263)(140, 297)(141, 264)(142, 299)(143, 267)(144, 301)(145, 270)(146, 286)(147, 304)(148, 312)(149, 278)(150, 307)(151, 279)(152, 287)(153, 283)(154, 311)(155, 290)(156, 303)(313, 471)(314, 474)(315, 473)(316, 478)(317, 469)(318, 475)(319, 470)(320, 486)(321, 484)(322, 479)(323, 472)(324, 493)(325, 494)(326, 496)(327, 491)(328, 488)(329, 499)(330, 487)(331, 476)(332, 477)(333, 506)(334, 480)(335, 498)(336, 508)(337, 490)(338, 495)(339, 481)(340, 497)(341, 482)(342, 483)(343, 500)(344, 485)(345, 521)(346, 504)(347, 524)(348, 523)(349, 519)(350, 507)(351, 489)(352, 509)(353, 492)(354, 532)(355, 512)(356, 533)(357, 534)(358, 536)(359, 517)(360, 539)(361, 538)(362, 530)(363, 526)(364, 542)(365, 522)(366, 501)(367, 502)(368, 525)(369, 503)(370, 505)(371, 552)(372, 510)(373, 554)(374, 541)(375, 556)(376, 528)(377, 511)(378, 535)(379, 513)(380, 537)(381, 514)(382, 515)(383, 540)(384, 516)(385, 518)(386, 543)(387, 520)(388, 574)(389, 547)(390, 577)(391, 576)(392, 550)(393, 580)(394, 579)(395, 572)(396, 553)(397, 527)(398, 555)(399, 529)(400, 557)(401, 531)(402, 589)(403, 560)(404, 590)(405, 562)(406, 591)(407, 592)(408, 594)(409, 567)(410, 597)(411, 596)(412, 570)(413, 600)(414, 599)(415, 587)(416, 582)(417, 603)(418, 575)(419, 544)(420, 545)(421, 578)(422, 546)(423, 548)(424, 581)(425, 549)(426, 551)(427, 614)(428, 558)(429, 616)(430, 606)(431, 602)(432, 609)(433, 584)(434, 559)(435, 561)(436, 593)(437, 563)(438, 595)(439, 564)(440, 565)(441, 598)(442, 566)(443, 568)(444, 601)(445, 569)(446, 571)(447, 604)(448, 573)(449, 585)(450, 608)(451, 624)(452, 586)(453, 610)(454, 588)(455, 612)(456, 623)(457, 617)(458, 615)(459, 583)(460, 605)(461, 618)(462, 613)(463, 620)(464, 622)(465, 607)(466, 619)(467, 611)(468, 621)
	local type(s) :: { ( 3, 52, 3, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.1994
Transitivity :: VT+
Graph:: simple
	v = 156 e = 312 f = 110
	degree seq :: [ 4^156 ]

E24.1998 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 26})
Quotient :: regular
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T1 * T2)^6, T1^26 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 97, 109, 121, 133, 132, 120, 108, 96, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 67, 79, 91, 103, 115, 127, 139, 145, 134, 123, 110, 99, 86, 75, 62, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 58, 70, 82, 94, 106, 118, 130, 142, 144, 135, 122, 111, 98, 87, 74, 63, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 64, 77, 88, 101, 112, 125, 136, 147, 152, 149, 140, 128, 116, 104, 92, 80, 68, 56, 40, 27)(23, 36, 24, 38, 50, 65, 76, 89, 100, 113, 124, 137, 146, 153, 151, 143, 131, 119, 107, 95, 83, 71, 59, 45, 30, 37)(41, 53, 42, 57, 69, 81, 93, 105, 117, 129, 141, 150, 155, 156, 154, 148, 138, 126, 114, 102, 90, 78, 66, 54, 43, 52)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 59)(45, 57)(46, 58)(47, 62)(49, 64)(51, 66)(55, 68)(56, 69)(60, 67)(61, 74)(63, 76)(65, 78)(70, 83)(71, 81)(72, 82)(73, 86)(75, 88)(77, 90)(79, 92)(80, 93)(84, 91)(85, 98)(87, 100)(89, 102)(94, 107)(95, 105)(96, 106)(97, 110)(99, 112)(101, 114)(103, 116)(104, 117)(108, 115)(109, 122)(111, 124)(113, 126)(118, 131)(119, 129)(120, 130)(121, 134)(123, 136)(125, 138)(127, 140)(128, 141)(132, 139)(133, 144)(135, 146)(137, 148)(142, 151)(143, 150)(145, 152)(147, 154)(149, 155)(153, 156)
	local type(s) :: { ( 6^26 ) }
Outer automorphisms :: reflexible
Dual of E24.1999
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 78 f = 26
	degree seq :: [ 26^6 ]

E24.1999 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 26})
Quotient :: regular
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^6, (T1 * T2)^26 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 20, 12, 8)(6, 13, 9, 18, 19, 14)(16, 23, 17, 25, 27, 24)(21, 28, 22, 30, 26, 29)(31, 37, 32, 39, 33, 38)(34, 40, 35, 42, 36, 41)(43, 49, 44, 51, 45, 50)(46, 52, 47, 54, 48, 53)(55, 97, 56, 98, 57, 99)(58, 100, 67, 111, 62, 102)(59, 103, 61, 109, 68, 105)(60, 106, 69, 104, 72, 108)(63, 101, 76, 110, 66, 112)(64, 113, 65, 115, 77, 114)(70, 117, 71, 119, 75, 118)(73, 107, 81, 120, 74, 116)(78, 121, 79, 123, 80, 122)(82, 124, 83, 126, 84, 125)(85, 127, 86, 129, 87, 128)(88, 130, 89, 132, 90, 131)(91, 133, 92, 135, 93, 134)(94, 136, 95, 138, 96, 137)(139, 147, 141, 151, 140, 145)(142, 155, 144, 156, 153, 149)(143, 148, 154, 150, 152, 146)
	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, 81)(53, 74)(54, 73)(58, 101)(59, 104)(60, 107)(61, 106)(62, 110)(63, 98)(64, 111)(65, 100)(66, 99)(67, 112)(68, 108)(69, 116)(70, 109)(71, 103)(72, 120)(75, 105)(76, 97)(77, 102)(78, 115)(79, 113)(80, 114)(82, 119)(83, 117)(84, 118)(85, 123)(86, 121)(87, 122)(88, 126)(89, 124)(90, 125)(91, 129)(92, 127)(93, 128)(94, 132)(95, 130)(96, 131)(133, 141)(134, 140)(135, 139)(136, 149)(137, 155)(138, 156)(142, 150)(143, 147)(144, 148)(145, 154)(146, 153)(151, 152)
	local type(s) :: { ( 26^6 ) }
Outer automorphisms :: reflexible
Dual of E24.1998
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 26 e = 78 f = 6
	degree seq :: [ 6^26 ]

E24.2000 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 26})
Quotient :: edge
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^26 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 9, 18, 25, 16)(11, 19, 13, 22, 29, 20)(23, 31, 24, 33, 26, 32)(27, 34, 28, 36, 30, 35)(37, 43, 38, 45, 39, 44)(40, 46, 41, 48, 42, 47)(49, 55, 50, 57, 51, 56)(52, 94, 53, 95, 54, 96)(58, 101, 67, 113, 65, 102)(59, 104, 71, 116, 69, 105)(60, 106, 61, 108, 74, 107)(62, 109, 63, 111, 78, 110)(64, 112, 80, 114, 66, 100)(68, 115, 81, 117, 70, 103)(72, 118, 73, 120, 75, 119)(76, 121, 77, 123, 79, 122)(82, 124, 83, 126, 84, 125)(85, 127, 86, 129, 87, 128)(88, 130, 89, 132, 90, 131)(91, 133, 92, 135, 93, 134)(97, 139, 98, 141, 99, 140)(136, 148, 138, 149, 137, 150)(142, 147, 153, 155, 151, 146)(143, 145, 144, 156, 152, 154)(157, 158)(159, 163)(160, 165)(161, 167)(162, 169)(164, 170)(166, 168)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(177, 185)(178, 186)(187, 193)(188, 194)(189, 195)(190, 196)(191, 197)(192, 198)(199, 205)(200, 206)(201, 207)(202, 208)(203, 209)(204, 210)(211, 226)(212, 224)(213, 237)(214, 256)(215, 259)(216, 260)(217, 261)(218, 257)(219, 258)(220, 252)(221, 268)(222, 250)(223, 270)(225, 271)(227, 273)(228, 262)(229, 263)(230, 272)(231, 264)(232, 265)(233, 266)(234, 269)(235, 267)(236, 251)(238, 274)(239, 275)(240, 276)(241, 277)(242, 278)(243, 279)(244, 280)(245, 281)(246, 282)(247, 283)(248, 284)(249, 285)(253, 286)(254, 287)(255, 288)(289, 292)(290, 294)(291, 293)(295, 301)(296, 312)(297, 310)(298, 304)(299, 303)(300, 302)(305, 307)(306, 309)(308, 311)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 52, 52 ), ( 52^6 ) }
Outer automorphisms :: reflexible
Dual of E24.2004
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 156 f = 6
	degree seq :: [ 2^78, 6^26 ]

E24.2001 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 26})
Quotient :: edge
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^26 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 141, 132, 120, 108, 96, 84, 72, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 77, 89, 101, 113, 125, 137, 148, 138, 126, 114, 102, 90, 78, 66, 54, 42, 30, 18, 8)(4, 11, 23, 35, 47, 59, 71, 83, 95, 107, 119, 131, 143, 150, 140, 128, 116, 104, 92, 80, 68, 56, 44, 32, 20, 9)(6, 15, 27, 39, 51, 63, 75, 87, 99, 111, 123, 135, 146, 154, 147, 136, 124, 112, 100, 88, 76, 64, 52, 40, 28, 16)(12, 19, 31, 43, 55, 67, 79, 91, 103, 115, 127, 139, 149, 155, 151, 142, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22)(14, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 144, 152, 156, 153, 145, 134, 122, 110, 98, 86, 74, 62, 50, 38, 26)(157, 158, 162, 170, 168, 160)(159, 165, 175, 182, 171, 164)(161, 167, 178, 181, 172, 163)(166, 174, 183, 194, 187, 176)(169, 173, 184, 193, 190, 179)(177, 188, 199, 206, 195, 186)(180, 191, 202, 205, 196, 185)(189, 198, 207, 218, 211, 200)(192, 197, 208, 217, 214, 203)(201, 212, 223, 230, 219, 210)(204, 215, 226, 229, 220, 209)(213, 222, 231, 242, 235, 224)(216, 221, 232, 241, 238, 227)(225, 236, 247, 254, 243, 234)(228, 239, 250, 253, 244, 233)(237, 246, 255, 266, 259, 248)(240, 245, 256, 265, 262, 251)(249, 260, 271, 278, 267, 258)(252, 263, 274, 277, 268, 257)(261, 270, 279, 290, 283, 272)(264, 269, 280, 289, 286, 275)(273, 284, 295, 301, 291, 282)(276, 287, 298, 300, 292, 281)(285, 294, 302, 309, 305, 296)(288, 293, 303, 308, 307, 299)(297, 306, 311, 312, 310, 304)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4^6 ), ( 4^26 ) }
Outer automorphisms :: reflexible
Dual of E24.2005
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 156 f = 78
	degree seq :: [ 6^26, 26^6 ]

E24.2002 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 26})
Quotient :: edge
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^6, T1^26 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 59)(45, 57)(46, 58)(47, 62)(49, 64)(51, 66)(55, 68)(56, 69)(60, 67)(61, 74)(63, 76)(65, 78)(70, 83)(71, 81)(72, 82)(73, 86)(75, 88)(77, 90)(79, 92)(80, 93)(84, 91)(85, 98)(87, 100)(89, 102)(94, 107)(95, 105)(96, 106)(97, 110)(99, 112)(101, 114)(103, 116)(104, 117)(108, 115)(109, 122)(111, 124)(113, 126)(118, 131)(119, 129)(120, 130)(121, 134)(123, 136)(125, 138)(127, 140)(128, 141)(132, 139)(133, 144)(135, 146)(137, 148)(142, 151)(143, 150)(145, 152)(147, 154)(149, 155)(153, 156)(157, 158, 161, 167, 176, 188, 203, 217, 229, 241, 253, 265, 277, 289, 288, 276, 264, 252, 240, 228, 216, 202, 187, 175, 166, 160)(159, 163, 171, 181, 195, 211, 223, 235, 247, 259, 271, 283, 295, 301, 290, 279, 266, 255, 242, 231, 218, 205, 189, 178, 168, 164)(162, 169, 165, 174, 185, 200, 214, 226, 238, 250, 262, 274, 286, 298, 300, 291, 278, 267, 254, 243, 230, 219, 204, 190, 177, 170)(172, 182, 173, 184, 191, 207, 220, 233, 244, 257, 268, 281, 292, 303, 308, 305, 296, 284, 272, 260, 248, 236, 224, 212, 196, 183)(179, 192, 180, 194, 206, 221, 232, 245, 256, 269, 280, 293, 302, 309, 307, 299, 287, 275, 263, 251, 239, 227, 215, 201, 186, 193)(197, 209, 198, 213, 225, 237, 249, 261, 273, 285, 297, 306, 311, 312, 310, 304, 294, 282, 270, 258, 246, 234, 222, 210, 199, 208)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 12, 12 ), ( 12^26 ) }
Outer automorphisms :: reflexible
Dual of E24.2003
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 156 f = 26
	degree seq :: [ 2^78, 26^6 ]

E24.2003 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 26})
Quotient :: loop
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^26 ]
Map::
	R = (1, 157, 3, 159, 8, 164, 17, 173, 10, 166, 4, 160)(2, 158, 5, 161, 12, 168, 21, 177, 14, 170, 6, 162)(7, 163, 15, 171, 9, 165, 18, 174, 25, 181, 16, 172)(11, 167, 19, 175, 13, 169, 22, 178, 29, 185, 20, 176)(23, 179, 31, 187, 24, 180, 33, 189, 26, 182, 32, 188)(27, 183, 34, 190, 28, 184, 36, 192, 30, 186, 35, 191)(37, 193, 43, 199, 38, 194, 45, 201, 39, 195, 44, 200)(40, 196, 46, 202, 41, 197, 48, 204, 42, 198, 47, 203)(49, 205, 55, 211, 50, 206, 57, 213, 51, 207, 56, 212)(52, 208, 89, 245, 53, 209, 90, 246, 54, 210, 88, 244)(58, 214, 107, 263, 67, 223, 120, 276, 65, 221, 108, 264)(59, 215, 110, 266, 71, 227, 125, 281, 69, 225, 111, 267)(60, 216, 112, 268, 61, 217, 114, 270, 74, 230, 113, 269)(62, 218, 115, 271, 63, 219, 117, 273, 78, 234, 116, 272)(64, 220, 119, 275, 82, 238, 122, 278, 66, 222, 106, 262)(68, 224, 124, 280, 86, 242, 127, 283, 70, 226, 109, 265)(72, 228, 128, 284, 73, 229, 130, 286, 75, 231, 129, 285)(76, 232, 104, 260, 77, 233, 105, 261, 79, 235, 103, 259)(80, 236, 121, 277, 83, 239, 133, 289, 81, 237, 118, 274)(84, 240, 126, 282, 87, 243, 137, 293, 85, 241, 123, 279)(91, 247, 132, 288, 93, 249, 134, 290, 92, 248, 131, 287)(94, 250, 136, 292, 96, 252, 138, 294, 95, 251, 135, 291)(97, 253, 140, 296, 99, 255, 141, 297, 98, 254, 139, 295)(100, 256, 143, 299, 102, 258, 144, 300, 101, 257, 142, 298)(145, 301, 151, 307, 146, 302, 153, 309, 147, 303, 152, 308)(148, 304, 155, 311, 149, 305, 156, 312, 150, 306, 154, 310)
	L = (1, 158)(2, 157)(3, 163)(4, 165)(5, 167)(6, 169)(7, 159)(8, 170)(9, 160)(10, 168)(11, 161)(12, 166)(13, 162)(14, 164)(15, 179)(16, 180)(17, 181)(18, 182)(19, 183)(20, 184)(21, 185)(22, 186)(23, 171)(24, 172)(25, 173)(26, 174)(27, 175)(28, 176)(29, 177)(30, 178)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 259)(56, 260)(57, 261)(58, 262)(59, 265)(60, 266)(61, 267)(62, 263)(63, 264)(64, 274)(65, 275)(66, 277)(67, 278)(68, 279)(69, 280)(70, 282)(71, 283)(72, 268)(73, 269)(74, 281)(75, 270)(76, 271)(77, 272)(78, 276)(79, 273)(80, 287)(81, 288)(82, 289)(83, 290)(84, 291)(85, 292)(86, 293)(87, 294)(88, 284)(89, 285)(90, 286)(91, 295)(92, 296)(93, 297)(94, 298)(95, 299)(96, 300)(97, 301)(98, 302)(99, 303)(100, 304)(101, 305)(102, 306)(103, 211)(104, 212)(105, 213)(106, 214)(107, 218)(108, 219)(109, 215)(110, 216)(111, 217)(112, 228)(113, 229)(114, 231)(115, 232)(116, 233)(117, 235)(118, 220)(119, 221)(120, 234)(121, 222)(122, 223)(123, 224)(124, 225)(125, 230)(126, 226)(127, 227)(128, 244)(129, 245)(130, 246)(131, 236)(132, 237)(133, 238)(134, 239)(135, 240)(136, 241)(137, 242)(138, 243)(139, 247)(140, 248)(141, 249)(142, 250)(143, 251)(144, 252)(145, 253)(146, 254)(147, 255)(148, 256)(149, 257)(150, 258)(151, 310)(152, 311)(153, 312)(154, 307)(155, 308)(156, 309)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.2002
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 26 e = 156 f = 84
	degree seq :: [ 12^26 ]

E24.2004 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 26})
Quotient :: loop
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^26 ]
Map::
	R = (1, 157, 3, 159, 10, 166, 21, 177, 33, 189, 45, 201, 57, 213, 69, 225, 81, 237, 93, 249, 105, 261, 117, 273, 129, 285, 141, 297, 132, 288, 120, 276, 108, 264, 96, 252, 84, 240, 72, 228, 60, 216, 48, 204, 36, 192, 24, 180, 13, 169, 5, 161)(2, 158, 7, 163, 17, 173, 29, 185, 41, 197, 53, 209, 65, 221, 77, 233, 89, 245, 101, 257, 113, 269, 125, 281, 137, 293, 148, 304, 138, 294, 126, 282, 114, 270, 102, 258, 90, 246, 78, 234, 66, 222, 54, 210, 42, 198, 30, 186, 18, 174, 8, 164)(4, 160, 11, 167, 23, 179, 35, 191, 47, 203, 59, 215, 71, 227, 83, 239, 95, 251, 107, 263, 119, 275, 131, 287, 143, 299, 150, 306, 140, 296, 128, 284, 116, 272, 104, 260, 92, 248, 80, 236, 68, 224, 56, 212, 44, 200, 32, 188, 20, 176, 9, 165)(6, 162, 15, 171, 27, 183, 39, 195, 51, 207, 63, 219, 75, 231, 87, 243, 99, 255, 111, 267, 123, 279, 135, 291, 146, 302, 154, 310, 147, 303, 136, 292, 124, 280, 112, 268, 100, 256, 88, 244, 76, 232, 64, 220, 52, 208, 40, 196, 28, 184, 16, 172)(12, 168, 19, 175, 31, 187, 43, 199, 55, 211, 67, 223, 79, 235, 91, 247, 103, 259, 115, 271, 127, 283, 139, 295, 149, 305, 155, 311, 151, 307, 142, 298, 130, 286, 118, 274, 106, 262, 94, 250, 82, 238, 70, 226, 58, 214, 46, 202, 34, 190, 22, 178)(14, 170, 25, 181, 37, 193, 49, 205, 61, 217, 73, 229, 85, 241, 97, 253, 109, 265, 121, 277, 133, 289, 144, 300, 152, 308, 156, 312, 153, 309, 145, 301, 134, 290, 122, 278, 110, 266, 98, 254, 86, 242, 74, 230, 62, 218, 50, 206, 38, 194, 26, 182)
	L = (1, 158)(2, 162)(3, 165)(4, 157)(5, 167)(6, 170)(7, 161)(8, 159)(9, 175)(10, 174)(11, 178)(12, 160)(13, 173)(14, 168)(15, 164)(16, 163)(17, 184)(18, 183)(19, 182)(20, 166)(21, 188)(22, 181)(23, 169)(24, 191)(25, 172)(26, 171)(27, 194)(28, 193)(29, 180)(30, 177)(31, 176)(32, 199)(33, 198)(34, 179)(35, 202)(36, 197)(37, 190)(38, 187)(39, 186)(40, 185)(41, 208)(42, 207)(43, 206)(44, 189)(45, 212)(46, 205)(47, 192)(48, 215)(49, 196)(50, 195)(51, 218)(52, 217)(53, 204)(54, 201)(55, 200)(56, 223)(57, 222)(58, 203)(59, 226)(60, 221)(61, 214)(62, 211)(63, 210)(64, 209)(65, 232)(66, 231)(67, 230)(68, 213)(69, 236)(70, 229)(71, 216)(72, 239)(73, 220)(74, 219)(75, 242)(76, 241)(77, 228)(78, 225)(79, 224)(80, 247)(81, 246)(82, 227)(83, 250)(84, 245)(85, 238)(86, 235)(87, 234)(88, 233)(89, 256)(90, 255)(91, 254)(92, 237)(93, 260)(94, 253)(95, 240)(96, 263)(97, 244)(98, 243)(99, 266)(100, 265)(101, 252)(102, 249)(103, 248)(104, 271)(105, 270)(106, 251)(107, 274)(108, 269)(109, 262)(110, 259)(111, 258)(112, 257)(113, 280)(114, 279)(115, 278)(116, 261)(117, 284)(118, 277)(119, 264)(120, 287)(121, 268)(122, 267)(123, 290)(124, 289)(125, 276)(126, 273)(127, 272)(128, 295)(129, 294)(130, 275)(131, 298)(132, 293)(133, 286)(134, 283)(135, 282)(136, 281)(137, 303)(138, 302)(139, 301)(140, 285)(141, 306)(142, 300)(143, 288)(144, 292)(145, 291)(146, 309)(147, 308)(148, 297)(149, 296)(150, 311)(151, 299)(152, 307)(153, 305)(154, 304)(155, 312)(156, 310)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E24.2000
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 156 f = 104
	degree seq :: [ 52^6 ]

E24.2005 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 26})
Quotient :: loop
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^6, T1^26 ]
Map:: polytopal non-degenerate
	R = (1, 157, 3, 159)(2, 158, 6, 162)(4, 160, 9, 165)(5, 161, 12, 168)(7, 163, 16, 172)(8, 164, 17, 173)(10, 166, 15, 171)(11, 167, 21, 177)(13, 169, 23, 179)(14, 170, 24, 180)(18, 174, 30, 186)(19, 175, 29, 185)(20, 176, 33, 189)(22, 178, 35, 191)(25, 181, 40, 196)(26, 182, 41, 197)(27, 183, 42, 198)(28, 184, 43, 199)(31, 187, 39, 195)(32, 188, 48, 204)(34, 190, 50, 206)(36, 192, 52, 208)(37, 193, 53, 209)(38, 194, 54, 210)(44, 200, 59, 215)(45, 201, 57, 213)(46, 202, 58, 214)(47, 203, 62, 218)(49, 205, 64, 220)(51, 207, 66, 222)(55, 211, 68, 224)(56, 212, 69, 225)(60, 216, 67, 223)(61, 217, 74, 230)(63, 219, 76, 232)(65, 221, 78, 234)(70, 226, 83, 239)(71, 227, 81, 237)(72, 228, 82, 238)(73, 229, 86, 242)(75, 231, 88, 244)(77, 233, 90, 246)(79, 235, 92, 248)(80, 236, 93, 249)(84, 240, 91, 247)(85, 241, 98, 254)(87, 243, 100, 256)(89, 245, 102, 258)(94, 250, 107, 263)(95, 251, 105, 261)(96, 252, 106, 262)(97, 253, 110, 266)(99, 255, 112, 268)(101, 257, 114, 270)(103, 259, 116, 272)(104, 260, 117, 273)(108, 264, 115, 271)(109, 265, 122, 278)(111, 267, 124, 280)(113, 269, 126, 282)(118, 274, 131, 287)(119, 275, 129, 285)(120, 276, 130, 286)(121, 277, 134, 290)(123, 279, 136, 292)(125, 281, 138, 294)(127, 283, 140, 296)(128, 284, 141, 297)(132, 288, 139, 295)(133, 289, 144, 300)(135, 291, 146, 302)(137, 293, 148, 304)(142, 298, 151, 307)(143, 299, 150, 306)(145, 301, 152, 308)(147, 303, 154, 310)(149, 305, 155, 311)(153, 309, 156, 312)
	L = (1, 158)(2, 161)(3, 163)(4, 157)(5, 167)(6, 169)(7, 171)(8, 159)(9, 174)(10, 160)(11, 176)(12, 164)(13, 165)(14, 162)(15, 181)(16, 182)(17, 184)(18, 185)(19, 166)(20, 188)(21, 170)(22, 168)(23, 192)(24, 194)(25, 195)(26, 173)(27, 172)(28, 191)(29, 200)(30, 193)(31, 175)(32, 203)(33, 178)(34, 177)(35, 207)(36, 180)(37, 179)(38, 206)(39, 211)(40, 183)(41, 209)(42, 213)(43, 208)(44, 214)(45, 186)(46, 187)(47, 217)(48, 190)(49, 189)(50, 221)(51, 220)(52, 197)(53, 198)(54, 199)(55, 223)(56, 196)(57, 225)(58, 226)(59, 201)(60, 202)(61, 229)(62, 205)(63, 204)(64, 233)(65, 232)(66, 210)(67, 235)(68, 212)(69, 237)(70, 238)(71, 215)(72, 216)(73, 241)(74, 219)(75, 218)(76, 245)(77, 244)(78, 222)(79, 247)(80, 224)(81, 249)(82, 250)(83, 227)(84, 228)(85, 253)(86, 231)(87, 230)(88, 257)(89, 256)(90, 234)(91, 259)(92, 236)(93, 261)(94, 262)(95, 239)(96, 240)(97, 265)(98, 243)(99, 242)(100, 269)(101, 268)(102, 246)(103, 271)(104, 248)(105, 273)(106, 274)(107, 251)(108, 252)(109, 277)(110, 255)(111, 254)(112, 281)(113, 280)(114, 258)(115, 283)(116, 260)(117, 285)(118, 286)(119, 263)(120, 264)(121, 289)(122, 267)(123, 266)(124, 293)(125, 292)(126, 270)(127, 295)(128, 272)(129, 297)(130, 298)(131, 275)(132, 276)(133, 288)(134, 279)(135, 278)(136, 303)(137, 302)(138, 282)(139, 301)(140, 284)(141, 306)(142, 300)(143, 287)(144, 291)(145, 290)(146, 309)(147, 308)(148, 294)(149, 296)(150, 311)(151, 299)(152, 305)(153, 307)(154, 304)(155, 312)(156, 310)
	local type(s) :: { ( 6, 26, 6, 26 ) }
Outer automorphisms :: reflexible
Dual of E24.2001
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 78 e = 156 f = 32
	degree seq :: [ 4^78 ]

E24.2006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 26})
Quotient :: dipole
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 157, 2, 158)(3, 159, 7, 163)(4, 160, 9, 165)(5, 161, 11, 167)(6, 162, 13, 169)(8, 164, 14, 170)(10, 166, 12, 168)(15, 171, 23, 179)(16, 172, 24, 180)(17, 173, 25, 181)(18, 174, 26, 182)(19, 175, 27, 183)(20, 176, 28, 184)(21, 177, 29, 185)(22, 178, 30, 186)(31, 187, 37, 193)(32, 188, 38, 194)(33, 189, 39, 195)(34, 190, 40, 196)(35, 191, 41, 197)(36, 192, 42, 198)(43, 199, 49, 205)(44, 200, 50, 206)(45, 201, 51, 207)(46, 202, 52, 208)(47, 203, 53, 209)(48, 204, 54, 210)(55, 211, 67, 223)(56, 212, 59, 215)(57, 213, 66, 222)(58, 214, 90, 246)(60, 216, 98, 254)(61, 217, 97, 253)(62, 218, 102, 258)(63, 219, 95, 251)(64, 220, 89, 245)(65, 221, 88, 244)(68, 224, 101, 257)(69, 225, 100, 256)(70, 226, 96, 252)(71, 227, 99, 255)(72, 228, 105, 261)(73, 229, 104, 260)(74, 230, 94, 250)(75, 231, 103, 259)(76, 232, 108, 264)(77, 233, 107, 263)(78, 234, 106, 262)(79, 235, 111, 267)(80, 236, 110, 266)(81, 237, 109, 265)(82, 238, 114, 270)(83, 239, 113, 269)(84, 240, 112, 268)(85, 241, 117, 273)(86, 242, 116, 272)(87, 243, 115, 271)(91, 247, 120, 276)(92, 248, 119, 275)(93, 249, 118, 274)(121, 277, 126, 282)(122, 278, 125, 281)(123, 279, 124, 280)(127, 283, 133, 289)(128, 284, 135, 291)(129, 285, 134, 290)(130, 286, 154, 310)(131, 287, 156, 312)(132, 288, 155, 311)(136, 292, 152, 308)(137, 293, 151, 307)(138, 294, 153, 309)(139, 295, 149, 305)(140, 296, 148, 304)(141, 297, 150, 306)(142, 298, 145, 301)(143, 299, 147, 303)(144, 300, 146, 302)(313, 469, 315, 471, 320, 476, 329, 485, 322, 478, 316, 472)(314, 470, 317, 473, 324, 480, 333, 489, 326, 482, 318, 474)(319, 475, 327, 483, 321, 477, 330, 486, 337, 493, 328, 484)(323, 479, 331, 487, 325, 481, 334, 490, 341, 497, 332, 488)(335, 491, 343, 499, 336, 492, 345, 501, 338, 494, 344, 500)(339, 495, 346, 502, 340, 496, 348, 504, 342, 498, 347, 503)(349, 505, 355, 511, 350, 506, 357, 513, 351, 507, 356, 512)(352, 508, 358, 514, 353, 509, 360, 516, 354, 510, 359, 515)(361, 517, 367, 523, 362, 518, 369, 525, 363, 519, 368, 524)(364, 520, 400, 556, 365, 521, 401, 557, 366, 522, 402, 558)(370, 526, 406, 562, 376, 532, 414, 570, 377, 533, 407, 563)(371, 527, 408, 564, 378, 534, 410, 566, 379, 535, 409, 565)(372, 528, 411, 567, 382, 538, 413, 569, 373, 529, 412, 568)(374, 530, 415, 571, 386, 542, 417, 573, 375, 531, 416, 572)(380, 536, 418, 574, 383, 539, 420, 576, 381, 537, 419, 575)(384, 540, 421, 577, 387, 543, 423, 579, 385, 541, 422, 578)(388, 544, 424, 580, 390, 546, 426, 582, 389, 545, 425, 581)(391, 547, 427, 583, 393, 549, 429, 585, 392, 548, 428, 584)(394, 550, 430, 586, 396, 552, 432, 588, 395, 551, 431, 587)(397, 553, 433, 589, 399, 555, 435, 591, 398, 554, 434, 590)(403, 559, 439, 595, 405, 561, 441, 597, 404, 560, 440, 596)(436, 592, 466, 622, 438, 594, 468, 624, 437, 593, 467, 623)(442, 598, 460, 616, 444, 600, 462, 618, 443, 599, 461, 617)(445, 601, 463, 619, 447, 603, 465, 621, 446, 602, 464, 620)(448, 604, 459, 615, 450, 606, 458, 614, 449, 605, 457, 613)(451, 607, 456, 612, 453, 609, 455, 611, 452, 608, 454, 610)
	L = (1, 314)(2, 313)(3, 319)(4, 321)(5, 323)(6, 325)(7, 315)(8, 326)(9, 316)(10, 324)(11, 317)(12, 322)(13, 318)(14, 320)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 327)(24, 328)(25, 329)(26, 330)(27, 331)(28, 332)(29, 333)(30, 334)(31, 349)(32, 350)(33, 351)(34, 352)(35, 353)(36, 354)(37, 343)(38, 344)(39, 345)(40, 346)(41, 347)(42, 348)(43, 361)(44, 362)(45, 363)(46, 364)(47, 365)(48, 366)(49, 355)(50, 356)(51, 357)(52, 358)(53, 359)(54, 360)(55, 379)(56, 371)(57, 378)(58, 402)(59, 368)(60, 410)(61, 409)(62, 414)(63, 407)(64, 401)(65, 400)(66, 369)(67, 367)(68, 413)(69, 412)(70, 408)(71, 411)(72, 417)(73, 416)(74, 406)(75, 415)(76, 420)(77, 419)(78, 418)(79, 423)(80, 422)(81, 421)(82, 426)(83, 425)(84, 424)(85, 429)(86, 428)(87, 427)(88, 377)(89, 376)(90, 370)(91, 432)(92, 431)(93, 430)(94, 386)(95, 375)(96, 382)(97, 373)(98, 372)(99, 383)(100, 381)(101, 380)(102, 374)(103, 387)(104, 385)(105, 384)(106, 390)(107, 389)(108, 388)(109, 393)(110, 392)(111, 391)(112, 396)(113, 395)(114, 394)(115, 399)(116, 398)(117, 397)(118, 405)(119, 404)(120, 403)(121, 438)(122, 437)(123, 436)(124, 435)(125, 434)(126, 433)(127, 445)(128, 447)(129, 446)(130, 466)(131, 468)(132, 467)(133, 439)(134, 441)(135, 440)(136, 464)(137, 463)(138, 465)(139, 461)(140, 460)(141, 462)(142, 457)(143, 459)(144, 458)(145, 454)(146, 456)(147, 455)(148, 452)(149, 451)(150, 453)(151, 449)(152, 448)(153, 450)(154, 442)(155, 444)(156, 443)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 2, 52, 2, 52 ), ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.2009
Graph:: bipartite
	v = 104 e = 312 f = 162
	degree seq :: [ 4^78, 12^26 ]

E24.2007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 26})
Quotient :: dipole
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^6, Y2^26 ]
Map::
	R = (1, 157, 2, 158, 6, 162, 14, 170, 12, 168, 4, 160)(3, 159, 9, 165, 19, 175, 26, 182, 15, 171, 8, 164)(5, 161, 11, 167, 22, 178, 25, 181, 16, 172, 7, 163)(10, 166, 18, 174, 27, 183, 38, 194, 31, 187, 20, 176)(13, 169, 17, 173, 28, 184, 37, 193, 34, 190, 23, 179)(21, 177, 32, 188, 43, 199, 50, 206, 39, 195, 30, 186)(24, 180, 35, 191, 46, 202, 49, 205, 40, 196, 29, 185)(33, 189, 42, 198, 51, 207, 62, 218, 55, 211, 44, 200)(36, 192, 41, 197, 52, 208, 61, 217, 58, 214, 47, 203)(45, 201, 56, 212, 67, 223, 74, 230, 63, 219, 54, 210)(48, 204, 59, 215, 70, 226, 73, 229, 64, 220, 53, 209)(57, 213, 66, 222, 75, 231, 86, 242, 79, 235, 68, 224)(60, 216, 65, 221, 76, 232, 85, 241, 82, 238, 71, 227)(69, 225, 80, 236, 91, 247, 98, 254, 87, 243, 78, 234)(72, 228, 83, 239, 94, 250, 97, 253, 88, 244, 77, 233)(81, 237, 90, 246, 99, 255, 110, 266, 103, 259, 92, 248)(84, 240, 89, 245, 100, 256, 109, 265, 106, 262, 95, 251)(93, 249, 104, 260, 115, 271, 122, 278, 111, 267, 102, 258)(96, 252, 107, 263, 118, 274, 121, 277, 112, 268, 101, 257)(105, 261, 114, 270, 123, 279, 134, 290, 127, 283, 116, 272)(108, 264, 113, 269, 124, 280, 133, 289, 130, 286, 119, 275)(117, 273, 128, 284, 139, 295, 145, 301, 135, 291, 126, 282)(120, 276, 131, 287, 142, 298, 144, 300, 136, 292, 125, 281)(129, 285, 138, 294, 146, 302, 153, 309, 149, 305, 140, 296)(132, 288, 137, 293, 147, 303, 152, 308, 151, 307, 143, 299)(141, 297, 150, 306, 155, 311, 156, 312, 154, 310, 148, 304)(313, 469, 315, 471, 322, 478, 333, 489, 345, 501, 357, 513, 369, 525, 381, 537, 393, 549, 405, 561, 417, 573, 429, 585, 441, 597, 453, 609, 444, 600, 432, 588, 420, 576, 408, 564, 396, 552, 384, 540, 372, 528, 360, 516, 348, 504, 336, 492, 325, 481, 317, 473)(314, 470, 319, 475, 329, 485, 341, 497, 353, 509, 365, 521, 377, 533, 389, 545, 401, 557, 413, 569, 425, 581, 437, 593, 449, 605, 460, 616, 450, 606, 438, 594, 426, 582, 414, 570, 402, 558, 390, 546, 378, 534, 366, 522, 354, 510, 342, 498, 330, 486, 320, 476)(316, 472, 323, 479, 335, 491, 347, 503, 359, 515, 371, 527, 383, 539, 395, 551, 407, 563, 419, 575, 431, 587, 443, 599, 455, 611, 462, 618, 452, 608, 440, 596, 428, 584, 416, 572, 404, 560, 392, 548, 380, 536, 368, 524, 356, 512, 344, 500, 332, 488, 321, 477)(318, 474, 327, 483, 339, 495, 351, 507, 363, 519, 375, 531, 387, 543, 399, 555, 411, 567, 423, 579, 435, 591, 447, 603, 458, 614, 466, 622, 459, 615, 448, 604, 436, 592, 424, 580, 412, 568, 400, 556, 388, 544, 376, 532, 364, 520, 352, 508, 340, 496, 328, 484)(324, 480, 331, 487, 343, 499, 355, 511, 367, 523, 379, 535, 391, 547, 403, 559, 415, 571, 427, 583, 439, 595, 451, 607, 461, 617, 467, 623, 463, 619, 454, 610, 442, 598, 430, 586, 418, 574, 406, 562, 394, 550, 382, 538, 370, 526, 358, 514, 346, 502, 334, 490)(326, 482, 337, 493, 349, 505, 361, 517, 373, 529, 385, 541, 397, 553, 409, 565, 421, 577, 433, 589, 445, 601, 456, 612, 464, 620, 468, 624, 465, 621, 457, 613, 446, 602, 434, 590, 422, 578, 410, 566, 398, 554, 386, 542, 374, 530, 362, 518, 350, 506, 338, 494)
	L = (1, 315)(2, 319)(3, 322)(4, 323)(5, 313)(6, 327)(7, 329)(8, 314)(9, 316)(10, 333)(11, 335)(12, 331)(13, 317)(14, 337)(15, 339)(16, 318)(17, 341)(18, 320)(19, 343)(20, 321)(21, 345)(22, 324)(23, 347)(24, 325)(25, 349)(26, 326)(27, 351)(28, 328)(29, 353)(30, 330)(31, 355)(32, 332)(33, 357)(34, 334)(35, 359)(36, 336)(37, 361)(38, 338)(39, 363)(40, 340)(41, 365)(42, 342)(43, 367)(44, 344)(45, 369)(46, 346)(47, 371)(48, 348)(49, 373)(50, 350)(51, 375)(52, 352)(53, 377)(54, 354)(55, 379)(56, 356)(57, 381)(58, 358)(59, 383)(60, 360)(61, 385)(62, 362)(63, 387)(64, 364)(65, 389)(66, 366)(67, 391)(68, 368)(69, 393)(70, 370)(71, 395)(72, 372)(73, 397)(74, 374)(75, 399)(76, 376)(77, 401)(78, 378)(79, 403)(80, 380)(81, 405)(82, 382)(83, 407)(84, 384)(85, 409)(86, 386)(87, 411)(88, 388)(89, 413)(90, 390)(91, 415)(92, 392)(93, 417)(94, 394)(95, 419)(96, 396)(97, 421)(98, 398)(99, 423)(100, 400)(101, 425)(102, 402)(103, 427)(104, 404)(105, 429)(106, 406)(107, 431)(108, 408)(109, 433)(110, 410)(111, 435)(112, 412)(113, 437)(114, 414)(115, 439)(116, 416)(117, 441)(118, 418)(119, 443)(120, 420)(121, 445)(122, 422)(123, 447)(124, 424)(125, 449)(126, 426)(127, 451)(128, 428)(129, 453)(130, 430)(131, 455)(132, 432)(133, 456)(134, 434)(135, 458)(136, 436)(137, 460)(138, 438)(139, 461)(140, 440)(141, 444)(142, 442)(143, 462)(144, 464)(145, 446)(146, 466)(147, 448)(148, 450)(149, 467)(150, 452)(151, 454)(152, 468)(153, 457)(154, 459)(155, 463)(156, 465)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.2008
Graph:: bipartite
	v = 32 e = 312 f = 234
	degree seq :: [ 12^26, 52^6 ]

E24.2008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 26})
Quotient :: dipole
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^6, (Y3^-1 * Y1^-1)^26 ]
Map:: polytopal
	R = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)(313, 469, 314, 470)(315, 471, 319, 475)(316, 472, 321, 477)(317, 473, 323, 479)(318, 474, 325, 481)(320, 476, 326, 482)(322, 478, 324, 480)(327, 483, 337, 493)(328, 484, 338, 494)(329, 485, 339, 495)(330, 486, 341, 497)(331, 487, 342, 498)(332, 488, 344, 500)(333, 489, 345, 501)(334, 490, 346, 502)(335, 491, 348, 504)(336, 492, 349, 505)(340, 496, 350, 506)(343, 499, 347, 503)(351, 507, 360, 516)(352, 508, 359, 515)(353, 509, 364, 520)(354, 510, 367, 523)(355, 511, 368, 524)(356, 512, 361, 517)(357, 513, 370, 526)(358, 514, 371, 527)(362, 518, 373, 529)(363, 519, 374, 530)(365, 521, 376, 532)(366, 522, 377, 533)(369, 525, 378, 534)(372, 528, 375, 531)(379, 535, 388, 544)(380, 536, 391, 547)(381, 537, 392, 548)(382, 538, 385, 541)(383, 539, 394, 550)(384, 540, 395, 551)(386, 542, 397, 553)(387, 543, 398, 554)(389, 545, 400, 556)(390, 546, 401, 557)(393, 549, 402, 558)(396, 552, 399, 555)(403, 559, 412, 568)(404, 560, 415, 571)(405, 561, 416, 572)(406, 562, 409, 565)(407, 563, 418, 574)(408, 564, 419, 575)(410, 566, 421, 577)(411, 567, 422, 578)(413, 569, 424, 580)(414, 570, 425, 581)(417, 573, 426, 582)(420, 576, 423, 579)(427, 583, 436, 592)(428, 584, 439, 595)(429, 585, 440, 596)(430, 586, 433, 589)(431, 587, 442, 598)(432, 588, 443, 599)(434, 590, 445, 601)(435, 591, 446, 602)(437, 593, 448, 604)(438, 594, 449, 605)(441, 597, 450, 606)(444, 600, 447, 603)(451, 607, 459, 615)(452, 608, 461, 617)(453, 609, 462, 618)(454, 610, 456, 612)(455, 611, 463, 619)(457, 613, 464, 620)(458, 614, 465, 621)(460, 616, 466, 622)(467, 623, 468, 624)
	L = (1, 315)(2, 317)(3, 320)(4, 313)(5, 324)(6, 314)(7, 327)(8, 329)(9, 330)(10, 316)(11, 332)(12, 334)(13, 335)(14, 318)(15, 321)(16, 319)(17, 340)(18, 342)(19, 322)(20, 325)(21, 323)(22, 347)(23, 349)(24, 326)(25, 351)(26, 353)(27, 328)(28, 355)(29, 352)(30, 357)(31, 331)(32, 359)(33, 361)(34, 333)(35, 363)(36, 360)(37, 365)(38, 336)(39, 338)(40, 337)(41, 367)(42, 339)(43, 369)(44, 341)(45, 371)(46, 343)(47, 345)(48, 344)(49, 373)(50, 346)(51, 375)(52, 348)(53, 377)(54, 350)(55, 379)(56, 354)(57, 381)(58, 356)(59, 383)(60, 358)(61, 385)(62, 362)(63, 387)(64, 364)(65, 389)(66, 366)(67, 391)(68, 368)(69, 393)(70, 370)(71, 395)(72, 372)(73, 397)(74, 374)(75, 399)(76, 376)(77, 401)(78, 378)(79, 403)(80, 380)(81, 405)(82, 382)(83, 407)(84, 384)(85, 409)(86, 386)(87, 411)(88, 388)(89, 413)(90, 390)(91, 415)(92, 392)(93, 417)(94, 394)(95, 419)(96, 396)(97, 421)(98, 398)(99, 423)(100, 400)(101, 425)(102, 402)(103, 427)(104, 404)(105, 429)(106, 406)(107, 431)(108, 408)(109, 433)(110, 410)(111, 435)(112, 412)(113, 437)(114, 414)(115, 439)(116, 416)(117, 441)(118, 418)(119, 443)(120, 420)(121, 445)(122, 422)(123, 447)(124, 424)(125, 449)(126, 426)(127, 451)(128, 428)(129, 453)(130, 430)(131, 455)(132, 432)(133, 456)(134, 434)(135, 458)(136, 436)(137, 460)(138, 438)(139, 461)(140, 440)(141, 444)(142, 442)(143, 462)(144, 464)(145, 446)(146, 450)(147, 448)(148, 465)(149, 467)(150, 452)(151, 454)(152, 468)(153, 457)(154, 459)(155, 463)(156, 466)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 12, 52 ), ( 12, 52, 12, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.2007
Graph:: simple bipartite
	v = 234 e = 312 f = 32
	degree seq :: [ 2^156, 4^78 ]

E24.2009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 26})
Quotient :: dipole
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, (Y3^-1 * Y1)^6, Y1^26 ]
Map:: polytopal
	R = (1, 157, 2, 158, 5, 161, 11, 167, 20, 176, 32, 188, 47, 203, 61, 217, 73, 229, 85, 241, 97, 253, 109, 265, 121, 277, 133, 289, 132, 288, 120, 276, 108, 264, 96, 252, 84, 240, 72, 228, 60, 216, 46, 202, 31, 187, 19, 175, 10, 166, 4, 160)(3, 159, 7, 163, 15, 171, 25, 181, 39, 195, 55, 211, 67, 223, 79, 235, 91, 247, 103, 259, 115, 271, 127, 283, 139, 295, 145, 301, 134, 290, 123, 279, 110, 266, 99, 255, 86, 242, 75, 231, 62, 218, 49, 205, 33, 189, 22, 178, 12, 168, 8, 164)(6, 162, 13, 169, 9, 165, 18, 174, 29, 185, 44, 200, 58, 214, 70, 226, 82, 238, 94, 250, 106, 262, 118, 274, 130, 286, 142, 298, 144, 300, 135, 291, 122, 278, 111, 267, 98, 254, 87, 243, 74, 230, 63, 219, 48, 204, 34, 190, 21, 177, 14, 170)(16, 172, 26, 182, 17, 173, 28, 184, 35, 191, 51, 207, 64, 220, 77, 233, 88, 244, 101, 257, 112, 268, 125, 281, 136, 292, 147, 303, 152, 308, 149, 305, 140, 296, 128, 284, 116, 272, 104, 260, 92, 248, 80, 236, 68, 224, 56, 212, 40, 196, 27, 183)(23, 179, 36, 192, 24, 180, 38, 194, 50, 206, 65, 221, 76, 232, 89, 245, 100, 256, 113, 269, 124, 280, 137, 293, 146, 302, 153, 309, 151, 307, 143, 299, 131, 287, 119, 275, 107, 263, 95, 251, 83, 239, 71, 227, 59, 215, 45, 201, 30, 186, 37, 193)(41, 197, 53, 209, 42, 198, 57, 213, 69, 225, 81, 237, 93, 249, 105, 261, 117, 273, 129, 285, 141, 297, 150, 306, 155, 311, 156, 312, 154, 310, 148, 304, 138, 294, 126, 282, 114, 270, 102, 258, 90, 246, 78, 234, 66, 222, 54, 210, 43, 199, 52, 208)(313, 469)(314, 470)(315, 471)(316, 472)(317, 473)(318, 474)(319, 475)(320, 476)(321, 477)(322, 478)(323, 479)(324, 480)(325, 481)(326, 482)(327, 483)(328, 484)(329, 485)(330, 486)(331, 487)(332, 488)(333, 489)(334, 490)(335, 491)(336, 492)(337, 493)(338, 494)(339, 495)(340, 496)(341, 497)(342, 498)(343, 499)(344, 500)(345, 501)(346, 502)(347, 503)(348, 504)(349, 505)(350, 506)(351, 507)(352, 508)(353, 509)(354, 510)(355, 511)(356, 512)(357, 513)(358, 514)(359, 515)(360, 516)(361, 517)(362, 518)(363, 519)(364, 520)(365, 521)(366, 522)(367, 523)(368, 524)(369, 525)(370, 526)(371, 527)(372, 528)(373, 529)(374, 530)(375, 531)(376, 532)(377, 533)(378, 534)(379, 535)(380, 536)(381, 537)(382, 538)(383, 539)(384, 540)(385, 541)(386, 542)(387, 543)(388, 544)(389, 545)(390, 546)(391, 547)(392, 548)(393, 549)(394, 550)(395, 551)(396, 552)(397, 553)(398, 554)(399, 555)(400, 556)(401, 557)(402, 558)(403, 559)(404, 560)(405, 561)(406, 562)(407, 563)(408, 564)(409, 565)(410, 566)(411, 567)(412, 568)(413, 569)(414, 570)(415, 571)(416, 572)(417, 573)(418, 574)(419, 575)(420, 576)(421, 577)(422, 578)(423, 579)(424, 580)(425, 581)(426, 582)(427, 583)(428, 584)(429, 585)(430, 586)(431, 587)(432, 588)(433, 589)(434, 590)(435, 591)(436, 592)(437, 593)(438, 594)(439, 595)(440, 596)(441, 597)(442, 598)(443, 599)(444, 600)(445, 601)(446, 602)(447, 603)(448, 604)(449, 605)(450, 606)(451, 607)(452, 608)(453, 609)(454, 610)(455, 611)(456, 612)(457, 613)(458, 614)(459, 615)(460, 616)(461, 617)(462, 618)(463, 619)(464, 620)(465, 621)(466, 622)(467, 623)(468, 624)
	L = (1, 315)(2, 318)(3, 313)(4, 321)(5, 324)(6, 314)(7, 328)(8, 329)(9, 316)(10, 327)(11, 333)(12, 317)(13, 335)(14, 336)(15, 322)(16, 319)(17, 320)(18, 342)(19, 341)(20, 345)(21, 323)(22, 347)(23, 325)(24, 326)(25, 352)(26, 353)(27, 354)(28, 355)(29, 331)(30, 330)(31, 351)(32, 360)(33, 332)(34, 362)(35, 334)(36, 364)(37, 365)(38, 366)(39, 343)(40, 337)(41, 338)(42, 339)(43, 340)(44, 371)(45, 369)(46, 370)(47, 374)(48, 344)(49, 376)(50, 346)(51, 378)(52, 348)(53, 349)(54, 350)(55, 380)(56, 381)(57, 357)(58, 358)(59, 356)(60, 379)(61, 386)(62, 359)(63, 388)(64, 361)(65, 390)(66, 363)(67, 372)(68, 367)(69, 368)(70, 395)(71, 393)(72, 394)(73, 398)(74, 373)(75, 400)(76, 375)(77, 402)(78, 377)(79, 404)(80, 405)(81, 383)(82, 384)(83, 382)(84, 403)(85, 410)(86, 385)(87, 412)(88, 387)(89, 414)(90, 389)(91, 396)(92, 391)(93, 392)(94, 419)(95, 417)(96, 418)(97, 422)(98, 397)(99, 424)(100, 399)(101, 426)(102, 401)(103, 428)(104, 429)(105, 407)(106, 408)(107, 406)(108, 427)(109, 434)(110, 409)(111, 436)(112, 411)(113, 438)(114, 413)(115, 420)(116, 415)(117, 416)(118, 443)(119, 441)(120, 442)(121, 446)(122, 421)(123, 448)(124, 423)(125, 450)(126, 425)(127, 452)(128, 453)(129, 431)(130, 432)(131, 430)(132, 451)(133, 456)(134, 433)(135, 458)(136, 435)(137, 460)(138, 437)(139, 444)(140, 439)(141, 440)(142, 463)(143, 462)(144, 445)(145, 464)(146, 447)(147, 466)(148, 449)(149, 467)(150, 455)(151, 454)(152, 457)(153, 468)(154, 459)(155, 461)(156, 465)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.2006
Graph:: simple bipartite
	v = 162 e = 312 f = 104
	degree seq :: [ 2^156, 52^6 ]

E24.2010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 26})
Quotient :: dipole
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^6, Y2^26 ]
Map::
	R = (1, 157, 2, 158)(3, 159, 7, 163)(4, 160, 9, 165)(5, 161, 11, 167)(6, 162, 13, 169)(8, 164, 14, 170)(10, 166, 12, 168)(15, 171, 25, 181)(16, 172, 26, 182)(17, 173, 27, 183)(18, 174, 29, 185)(19, 175, 30, 186)(20, 176, 32, 188)(21, 177, 33, 189)(22, 178, 34, 190)(23, 179, 36, 192)(24, 180, 37, 193)(28, 184, 38, 194)(31, 187, 35, 191)(39, 195, 48, 204)(40, 196, 47, 203)(41, 197, 52, 208)(42, 198, 55, 211)(43, 199, 56, 212)(44, 200, 49, 205)(45, 201, 58, 214)(46, 202, 59, 215)(50, 206, 61, 217)(51, 207, 62, 218)(53, 209, 64, 220)(54, 210, 65, 221)(57, 213, 66, 222)(60, 216, 63, 219)(67, 223, 76, 232)(68, 224, 79, 235)(69, 225, 80, 236)(70, 226, 73, 229)(71, 227, 82, 238)(72, 228, 83, 239)(74, 230, 85, 241)(75, 231, 86, 242)(77, 233, 88, 244)(78, 234, 89, 245)(81, 237, 90, 246)(84, 240, 87, 243)(91, 247, 100, 256)(92, 248, 103, 259)(93, 249, 104, 260)(94, 250, 97, 253)(95, 251, 106, 262)(96, 252, 107, 263)(98, 254, 109, 265)(99, 255, 110, 266)(101, 257, 112, 268)(102, 258, 113, 269)(105, 261, 114, 270)(108, 264, 111, 267)(115, 271, 124, 280)(116, 272, 127, 283)(117, 273, 128, 284)(118, 274, 121, 277)(119, 275, 130, 286)(120, 276, 131, 287)(122, 278, 133, 289)(123, 279, 134, 290)(125, 281, 136, 292)(126, 282, 137, 293)(129, 285, 138, 294)(132, 288, 135, 291)(139, 295, 147, 303)(140, 296, 149, 305)(141, 297, 150, 306)(142, 298, 144, 300)(143, 299, 151, 307)(145, 301, 152, 308)(146, 302, 153, 309)(148, 304, 154, 310)(155, 311, 156, 312)(313, 469, 315, 471, 320, 476, 329, 485, 340, 496, 355, 511, 369, 525, 381, 537, 393, 549, 405, 561, 417, 573, 429, 585, 441, 597, 453, 609, 444, 600, 432, 588, 420, 576, 408, 564, 396, 552, 384, 540, 372, 528, 358, 514, 343, 499, 331, 487, 322, 478, 316, 472)(314, 470, 317, 473, 324, 480, 334, 490, 347, 503, 363, 519, 375, 531, 387, 543, 399, 555, 411, 567, 423, 579, 435, 591, 447, 603, 458, 614, 450, 606, 438, 594, 426, 582, 414, 570, 402, 558, 390, 546, 378, 534, 366, 522, 350, 506, 336, 492, 326, 482, 318, 474)(319, 475, 327, 483, 321, 477, 330, 486, 342, 498, 357, 513, 371, 527, 383, 539, 395, 551, 407, 563, 419, 575, 431, 587, 443, 599, 455, 611, 462, 618, 452, 608, 440, 596, 428, 584, 416, 572, 404, 560, 392, 548, 380, 536, 368, 524, 354, 510, 339, 495, 328, 484)(323, 479, 332, 488, 325, 481, 335, 491, 349, 505, 365, 521, 377, 533, 389, 545, 401, 557, 413, 569, 425, 581, 437, 593, 449, 605, 460, 616, 465, 621, 457, 613, 446, 602, 434, 590, 422, 578, 410, 566, 398, 554, 386, 542, 374, 530, 362, 518, 346, 502, 333, 489)(337, 493, 351, 507, 338, 494, 353, 509, 367, 523, 379, 535, 391, 547, 403, 559, 415, 571, 427, 583, 439, 595, 451, 607, 461, 617, 467, 623, 463, 619, 454, 610, 442, 598, 430, 586, 418, 574, 406, 562, 394, 550, 382, 538, 370, 526, 356, 512, 341, 497, 352, 508)(344, 500, 359, 515, 345, 501, 361, 517, 373, 529, 385, 541, 397, 553, 409, 565, 421, 577, 433, 589, 445, 601, 456, 612, 464, 620, 468, 624, 466, 622, 459, 615, 448, 604, 436, 592, 424, 580, 412, 568, 400, 556, 388, 544, 376, 532, 364, 520, 348, 504, 360, 516)
	L = (1, 314)(2, 313)(3, 319)(4, 321)(5, 323)(6, 325)(7, 315)(8, 326)(9, 316)(10, 324)(11, 317)(12, 322)(13, 318)(14, 320)(15, 337)(16, 338)(17, 339)(18, 341)(19, 342)(20, 344)(21, 345)(22, 346)(23, 348)(24, 349)(25, 327)(26, 328)(27, 329)(28, 350)(29, 330)(30, 331)(31, 347)(32, 332)(33, 333)(34, 334)(35, 343)(36, 335)(37, 336)(38, 340)(39, 360)(40, 359)(41, 364)(42, 367)(43, 368)(44, 361)(45, 370)(46, 371)(47, 352)(48, 351)(49, 356)(50, 373)(51, 374)(52, 353)(53, 376)(54, 377)(55, 354)(56, 355)(57, 378)(58, 357)(59, 358)(60, 375)(61, 362)(62, 363)(63, 372)(64, 365)(65, 366)(66, 369)(67, 388)(68, 391)(69, 392)(70, 385)(71, 394)(72, 395)(73, 382)(74, 397)(75, 398)(76, 379)(77, 400)(78, 401)(79, 380)(80, 381)(81, 402)(82, 383)(83, 384)(84, 399)(85, 386)(86, 387)(87, 396)(88, 389)(89, 390)(90, 393)(91, 412)(92, 415)(93, 416)(94, 409)(95, 418)(96, 419)(97, 406)(98, 421)(99, 422)(100, 403)(101, 424)(102, 425)(103, 404)(104, 405)(105, 426)(106, 407)(107, 408)(108, 423)(109, 410)(110, 411)(111, 420)(112, 413)(113, 414)(114, 417)(115, 436)(116, 439)(117, 440)(118, 433)(119, 442)(120, 443)(121, 430)(122, 445)(123, 446)(124, 427)(125, 448)(126, 449)(127, 428)(128, 429)(129, 450)(130, 431)(131, 432)(132, 447)(133, 434)(134, 435)(135, 444)(136, 437)(137, 438)(138, 441)(139, 459)(140, 461)(141, 462)(142, 456)(143, 463)(144, 454)(145, 464)(146, 465)(147, 451)(148, 466)(149, 452)(150, 453)(151, 455)(152, 457)(153, 458)(154, 460)(155, 468)(156, 467)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E24.2011
Graph:: bipartite
	v = 84 e = 312 f = 182
	degree seq :: [ 4^78, 52^6 ]

E24.2011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 26})
Quotient :: dipole
Aut^+ = S3 x D26 (small group id <156, 11>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^26 ]
Map:: polytopal
	R = (1, 157, 2, 158, 6, 162, 14, 170, 12, 168, 4, 160)(3, 159, 9, 165, 19, 175, 26, 182, 15, 171, 8, 164)(5, 161, 11, 167, 22, 178, 25, 181, 16, 172, 7, 163)(10, 166, 18, 174, 27, 183, 38, 194, 31, 187, 20, 176)(13, 169, 17, 173, 28, 184, 37, 193, 34, 190, 23, 179)(21, 177, 32, 188, 43, 199, 50, 206, 39, 195, 30, 186)(24, 180, 35, 191, 46, 202, 49, 205, 40, 196, 29, 185)(33, 189, 42, 198, 51, 207, 62, 218, 55, 211, 44, 200)(36, 192, 41, 197, 52, 208, 61, 217, 58, 214, 47, 203)(45, 201, 56, 212, 67, 223, 74, 230, 63, 219, 54, 210)(48, 204, 59, 215, 70, 226, 73, 229, 64, 220, 53, 209)(57, 213, 66, 222, 75, 231, 86, 242, 79, 235, 68, 224)(60, 216, 65, 221, 76, 232, 85, 241, 82, 238, 71, 227)(69, 225, 80, 236, 91, 247, 98, 254, 87, 243, 78, 234)(72, 228, 83, 239, 94, 250, 97, 253, 88, 244, 77, 233)(81, 237, 90, 246, 99, 255, 110, 266, 103, 259, 92, 248)(84, 240, 89, 245, 100, 256, 109, 265, 106, 262, 95, 251)(93, 249, 104, 260, 115, 271, 122, 278, 111, 267, 102, 258)(96, 252, 107, 263, 118, 274, 121, 277, 112, 268, 101, 257)(105, 261, 114, 270, 123, 279, 134, 290, 127, 283, 116, 272)(108, 264, 113, 269, 124, 280, 133, 289, 130, 286, 119, 275)(117, 273, 128, 284, 139, 295, 145, 301, 135, 291, 126, 282)(120, 276, 131, 287, 142, 298, 144, 300, 136, 292, 125, 281)(129, 285, 138, 294, 146, 302, 153, 309, 149, 305, 140, 296)(132, 288, 137, 293, 147, 303, 152, 308, 151, 307, 143, 299)(141, 297, 150, 306, 155, 311, 156, 312, 154, 310, 148, 304)(313, 469)(314, 470)(315, 471)(316, 472)(317, 473)(318, 474)(319, 475)(320, 476)(321, 477)(322, 478)(323, 479)(324, 480)(325, 481)(326, 482)(327, 483)(328, 484)(329, 485)(330, 486)(331, 487)(332, 488)(333, 489)(334, 490)(335, 491)(336, 492)(337, 493)(338, 494)(339, 495)(340, 496)(341, 497)(342, 498)(343, 499)(344, 500)(345, 501)(346, 502)(347, 503)(348, 504)(349, 505)(350, 506)(351, 507)(352, 508)(353, 509)(354, 510)(355, 511)(356, 512)(357, 513)(358, 514)(359, 515)(360, 516)(361, 517)(362, 518)(363, 519)(364, 520)(365, 521)(366, 522)(367, 523)(368, 524)(369, 525)(370, 526)(371, 527)(372, 528)(373, 529)(374, 530)(375, 531)(376, 532)(377, 533)(378, 534)(379, 535)(380, 536)(381, 537)(382, 538)(383, 539)(384, 540)(385, 541)(386, 542)(387, 543)(388, 544)(389, 545)(390, 546)(391, 547)(392, 548)(393, 549)(394, 550)(395, 551)(396, 552)(397, 553)(398, 554)(399, 555)(400, 556)(401, 557)(402, 558)(403, 559)(404, 560)(405, 561)(406, 562)(407, 563)(408, 564)(409, 565)(410, 566)(411, 567)(412, 568)(413, 569)(414, 570)(415, 571)(416, 572)(417, 573)(418, 574)(419, 575)(420, 576)(421, 577)(422, 578)(423, 579)(424, 580)(425, 581)(426, 582)(427, 583)(428, 584)(429, 585)(430, 586)(431, 587)(432, 588)(433, 589)(434, 590)(435, 591)(436, 592)(437, 593)(438, 594)(439, 595)(440, 596)(441, 597)(442, 598)(443, 599)(444, 600)(445, 601)(446, 602)(447, 603)(448, 604)(449, 605)(450, 606)(451, 607)(452, 608)(453, 609)(454, 610)(455, 611)(456, 612)(457, 613)(458, 614)(459, 615)(460, 616)(461, 617)(462, 618)(463, 619)(464, 620)(465, 621)(466, 622)(467, 623)(468, 624)
	L = (1, 315)(2, 319)(3, 322)(4, 323)(5, 313)(6, 327)(7, 329)(8, 314)(9, 316)(10, 333)(11, 335)(12, 331)(13, 317)(14, 337)(15, 339)(16, 318)(17, 341)(18, 320)(19, 343)(20, 321)(21, 345)(22, 324)(23, 347)(24, 325)(25, 349)(26, 326)(27, 351)(28, 328)(29, 353)(30, 330)(31, 355)(32, 332)(33, 357)(34, 334)(35, 359)(36, 336)(37, 361)(38, 338)(39, 363)(40, 340)(41, 365)(42, 342)(43, 367)(44, 344)(45, 369)(46, 346)(47, 371)(48, 348)(49, 373)(50, 350)(51, 375)(52, 352)(53, 377)(54, 354)(55, 379)(56, 356)(57, 381)(58, 358)(59, 383)(60, 360)(61, 385)(62, 362)(63, 387)(64, 364)(65, 389)(66, 366)(67, 391)(68, 368)(69, 393)(70, 370)(71, 395)(72, 372)(73, 397)(74, 374)(75, 399)(76, 376)(77, 401)(78, 378)(79, 403)(80, 380)(81, 405)(82, 382)(83, 407)(84, 384)(85, 409)(86, 386)(87, 411)(88, 388)(89, 413)(90, 390)(91, 415)(92, 392)(93, 417)(94, 394)(95, 419)(96, 396)(97, 421)(98, 398)(99, 423)(100, 400)(101, 425)(102, 402)(103, 427)(104, 404)(105, 429)(106, 406)(107, 431)(108, 408)(109, 433)(110, 410)(111, 435)(112, 412)(113, 437)(114, 414)(115, 439)(116, 416)(117, 441)(118, 418)(119, 443)(120, 420)(121, 445)(122, 422)(123, 447)(124, 424)(125, 449)(126, 426)(127, 451)(128, 428)(129, 453)(130, 430)(131, 455)(132, 432)(133, 456)(134, 434)(135, 458)(136, 436)(137, 460)(138, 438)(139, 461)(140, 440)(141, 444)(142, 442)(143, 462)(144, 464)(145, 446)(146, 466)(147, 448)(148, 450)(149, 467)(150, 452)(151, 454)(152, 468)(153, 457)(154, 459)(155, 463)(156, 465)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E24.2010
Graph:: simple bipartite
	v = 182 e = 312 f = 84
	degree seq :: [ 2^156, 12^26 ]

E24.2012 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, (T2 * T1^-1)^3, (T2^-2 * T1^-1 * T2^-1 * T1^-1)^2, (T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2^-1, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 26, 12)(8, 20, 42, 21)(10, 18, 38, 24)(13, 30, 55, 27)(14, 31, 62, 32)(15, 33, 66, 34)(17, 28, 56, 37)(19, 39, 78, 40)(22, 46, 90, 47)(23, 44, 86, 48)(25, 51, 97, 52)(29, 57, 89, 58)(35, 70, 121, 71)(36, 68, 118, 72)(41, 81, 64, 82)(43, 49, 93, 85)(45, 87, 138, 88)(50, 94, 59, 95)(53, 101, 151, 102)(54, 99, 135, 83)(60, 63, 114, 110)(61, 111, 157, 112)(65, 115, 80, 116)(67, 73, 123, 117)(69, 119, 163, 120)(74, 124, 75, 125)(76, 79, 130, 126)(77, 127, 147, 128)(84, 133, 161, 129)(91, 92, 143, 142)(96, 148, 109, 149)(98, 103, 137, 139)(100, 144, 146, 150)(104, 145, 105, 152)(106, 108, 155, 153)(107, 154, 165, 141)(113, 122, 164, 134)(131, 167, 140, 158)(132, 136, 156, 159)(160, 162, 166, 168)(169, 170, 172)(171, 176, 178)(173, 181, 182)(174, 183, 185)(175, 186, 187)(177, 190, 191)(179, 193, 195)(180, 196, 197)(184, 203, 204)(188, 209, 211)(189, 212, 213)(192, 217, 218)(194, 221, 222)(198, 227, 228)(199, 229, 215)(200, 231, 232)(201, 233, 235)(202, 236, 237)(205, 241, 242)(206, 243, 244)(207, 245, 239)(208, 247, 248)(210, 251, 252)(214, 257, 259)(216, 260, 234)(219, 264, 266)(220, 267, 268)(223, 271, 272)(224, 273, 274)(225, 275, 270)(226, 276, 277)(230, 281, 238)(240, 290, 265)(246, 297, 269)(249, 299, 300)(250, 301, 302)(253, 304, 288)(254, 287, 305)(255, 291, 303)(256, 307, 308)(258, 294, 309)(261, 286, 312)(262, 313, 292)(263, 314, 315)(278, 296, 319)(279, 324, 298)(280, 289, 321)(282, 322, 326)(283, 327, 328)(284, 311, 329)(285, 330, 318)(293, 306, 333)(295, 334, 323)(310, 317, 332)(316, 336, 335)(320, 331, 325)
	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) :: { ( 14^3 ), ( 14^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2021
Transitivity :: ET+
Graph:: simple bipartite
	v = 98 e = 168 f = 24
	degree seq :: [ 3^56, 4^42 ]

E24.2013 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^7, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 22, 12)(8, 20, 14, 21)(10, 23, 13, 24)(15, 29, 19, 30)(17, 31, 18, 32)(25, 41, 28, 42)(26, 43, 27, 44)(33, 53, 36, 54)(34, 55, 35, 56)(37, 57, 40, 58)(38, 59, 39, 60)(45, 69, 48, 70)(46, 71, 47, 72)(49, 73, 52, 74)(50, 75, 51, 76)(61, 93, 64, 94)(62, 95, 63, 96)(65, 97, 68, 98)(66, 99, 67, 100)(77, 117, 80, 118)(78, 119, 79, 120)(81, 101, 84, 104)(82, 121, 83, 122)(85, 123, 88, 124)(86, 125, 87, 126)(89, 127, 92, 128)(90, 111, 91, 110)(102, 141, 103, 142)(105, 129, 108, 132)(106, 143, 107, 144)(109, 145, 112, 146)(113, 147, 116, 148)(114, 137, 115, 136)(130, 157, 131, 160)(133, 161, 134, 162)(135, 151, 138, 154)(139, 163, 140, 164)(149, 155, 150, 156)(152, 159, 153, 158)(165, 167, 166, 168)(169, 170, 172)(171, 176, 178)(173, 181, 182)(174, 183, 185)(175, 186, 187)(177, 190, 184)(179, 193, 194)(180, 195, 196)(188, 201, 202)(189, 203, 204)(191, 205, 206)(192, 207, 208)(197, 213, 214)(198, 215, 216)(199, 217, 218)(200, 219, 220)(209, 229, 230)(210, 231, 232)(211, 233, 234)(212, 235, 236)(221, 245, 246)(222, 247, 248)(223, 249, 250)(224, 251, 252)(225, 253, 254)(226, 255, 256)(227, 257, 258)(228, 259, 260)(237, 269, 270)(238, 271, 272)(239, 273, 274)(240, 275, 276)(241, 277, 278)(242, 279, 280)(243, 281, 282)(244, 283, 284)(261, 297, 298)(262, 299, 300)(263, 286, 301)(264, 302, 285)(265, 303, 304)(266, 305, 306)(267, 307, 293)(268, 294, 308)(287, 317, 315)(288, 316, 318)(289, 319, 320)(290, 321, 322)(291, 323, 311)(292, 312, 324)(295, 325, 326)(296, 327, 328)(309, 333, 331)(310, 332, 334)(313, 335, 329)(314, 330, 336)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 14^3 ), ( 14^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2020
Transitivity :: ET+
Graph:: simple bipartite
	v = 98 e = 168 f = 24
	degree seq :: [ 3^56, 4^42 ]

E24.2014 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, T1^4, (T2^-1 * T1^-1)^3, T2^7, T1^-2 * T2 * T1^-1 * T2^2 * T1^-1 * T2, (T2^3 * T1^-1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 30, 14, 5)(2, 7, 18, 37, 40, 20, 8)(4, 11, 26, 48, 50, 27, 12)(6, 15, 32, 57, 60, 34, 16)(9, 21, 41, 70, 73, 43, 22)(13, 28, 52, 84, 62, 35, 17)(19, 38, 66, 101, 88, 55, 31)(23, 39, 67, 103, 111, 75, 44)(25, 33, 58, 92, 114, 77, 46)(29, 53, 86, 124, 116, 78, 47)(36, 59, 93, 132, 136, 98, 63)(42, 71, 107, 146, 138, 99, 65)(45, 72, 108, 148, 121, 83, 54)(49, 80, 118, 156, 128, 89, 56)(51, 76, 112, 151, 159, 120, 82)(61, 95, 134, 147, 165, 129, 91)(64, 96, 122, 158, 139, 100, 68)(69, 87, 125, 163, 160, 143, 104)(74, 110, 149, 131, 164, 144, 106)(79, 113, 152, 145, 109, 105, 81)(85, 119, 157, 162, 127, 161, 123)(90, 126, 140, 168, 153, 130, 94)(97, 135, 155, 117, 142, 166, 133)(102, 137, 167, 150, 115, 154, 141)(169, 170, 174, 172)(171, 177, 187, 176)(173, 179, 193, 181)(175, 185, 201, 184)(178, 191, 210, 190)(180, 183, 199, 189)(182, 196, 219, 197)(186, 204, 229, 203)(188, 206, 233, 207)(192, 213, 242, 212)(194, 215, 244, 214)(195, 209, 237, 217)(198, 221, 253, 222)(200, 224, 255, 223)(202, 226, 259, 227)(205, 232, 265, 231)(208, 235, 270, 236)(211, 239, 274, 240)(216, 247, 283, 246)(218, 248, 285, 249)(220, 251, 287, 250)(225, 258, 295, 257)(228, 261, 299, 262)(230, 263, 301, 264)(234, 268, 305, 267)(238, 273, 310, 272)(241, 276, 315, 277)(243, 278, 291, 254)(245, 280, 318, 281)(252, 290, 328, 289)(256, 293, 330, 294)(260, 298, 332, 297)(266, 303, 309, 271)(269, 308, 327, 307)(275, 313, 333, 312)(279, 292, 324, 304)(282, 320, 314, 321)(284, 322, 323, 286)(288, 325, 331, 326)(296, 329, 317, 300)(302, 316, 311, 334)(306, 335, 319, 336)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6^4 ), ( 6^7 ) }
Outer automorphisms :: reflexible
Dual of E24.2023
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 168 f = 56
	degree seq :: [ 4^42, 7^24 ]

E24.2015 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, (T2^-2 * T1)^2, T2^7, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T2 * T1^-1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 41, 16, 5)(2, 7, 20, 51, 58, 24, 8)(4, 12, 33, 76, 81, 36, 13)(6, 17, 43, 93, 98, 47, 18)(9, 26, 61, 119, 125, 65, 27)(11, 30, 14, 38, 85, 72, 31)(15, 39, 88, 151, 101, 49, 19)(21, 52, 22, 55, 109, 106, 53)(23, 56, 111, 165, 149, 87, 42)(25, 59, 115, 134, 163, 118, 60)(28, 66, 80, 143, 138, 91, 67)(32, 46, 64, 123, 167, 135, 74)(34, 77, 35, 79, 142, 126, 78)(37, 82, 100, 160, 112, 146, 83)(40, 90, 68, 114, 102, 50, 84)(44, 94, 45, 96, 116, 145, 95)(48, 62, 120, 63, 122, 89, 99)(54, 107, 148, 128, 121, 133, 73)(57, 113, 103, 158, 153, 92, 108)(69, 117, 127, 105, 147, 86, 129)(70, 130, 71, 132, 139, 152, 131)(75, 136, 97, 157, 154, 144, 137)(104, 159, 162, 156, 124, 110, 164)(140, 161, 141, 150, 155, 168, 166)(169, 170, 174, 172)(171, 177, 193, 179)(173, 182, 205, 183)(175, 187, 216, 189)(176, 190, 222, 191)(178, 196, 225, 192)(180, 200, 241, 202)(181, 203, 230, 194)(184, 201, 243, 208)(185, 210, 251, 212)(186, 213, 227, 214)(188, 218, 265, 215)(195, 231, 289, 232)(197, 236, 292, 233)(198, 237, 296, 238)(199, 239, 247, 234)(204, 211, 260, 248)(206, 252, 221, 254)(207, 255, 316, 257)(209, 256, 318, 259)(217, 268, 286, 229)(219, 271, 329, 269)(220, 272, 331, 273)(223, 276, 263, 278)(224, 242, 302, 280)(226, 279, 300, 282)(228, 284, 281, 285)(235, 294, 275, 295)(240, 283, 330, 270)(244, 306, 315, 303)(245, 307, 328, 308)(246, 309, 264, 304)(249, 287, 332, 312)(250, 299, 305, 313)(253, 311, 336, 314)(258, 320, 301, 277)(261, 322, 298, 317)(262, 323, 290, 324)(266, 291, 297, 326)(267, 310, 325, 327)(274, 288, 334, 321)(293, 335, 333, 319)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6^4 ), ( 6^7 ) }
Outer automorphisms :: reflexible
Dual of E24.2022
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 168 f = 56
	degree seq :: [ 4^42, 7^24 ]

E24.2016 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, T1^7, (T1 * T2 * T1^2)^2, (T2^-1 * T1^-1)^4, T1^-3 * T2 * T1^3 * T2 * T1^-1, T1^2 * T2 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 21, 27)(12, 30, 32)(14, 36, 29)(15, 37, 39)(16, 40, 41)(19, 47, 48)(20, 44, 50)(22, 52, 54)(23, 56, 57)(26, 61, 63)(28, 67, 68)(31, 72, 55)(33, 75, 71)(34, 76, 58)(35, 78, 79)(38, 83, 84)(42, 87, 88)(43, 86, 89)(45, 91, 92)(46, 93, 94)(49, 97, 98)(51, 102, 103)(53, 105, 106)(59, 109, 113)(60, 114, 116)(62, 119, 77)(64, 100, 118)(65, 122, 80)(66, 123, 124)(69, 127, 128)(70, 110, 129)(73, 130, 101)(74, 112, 131)(81, 135, 132)(82, 140, 96)(85, 142, 141)(90, 147, 148)(95, 151, 152)(99, 146, 154)(104, 159, 144)(107, 161, 160)(108, 162, 155)(111, 163, 143)(115, 158, 134)(117, 136, 164)(120, 145, 139)(121, 138, 165)(125, 157, 166)(126, 150, 167)(133, 156, 153)(137, 149, 168)(169, 170, 174, 184, 199, 180, 172)(171, 177, 191, 223, 230, 194, 178)(173, 182, 203, 245, 208, 206, 183)(175, 187, 214, 200, 241, 217, 188)(176, 189, 219, 269, 240, 221, 190)(179, 196, 234, 209, 254, 237, 197)(181, 201, 242, 211, 185, 210, 202)(186, 212, 258, 239, 198, 238, 213)(192, 226, 279, 231, 288, 280, 227)(193, 205, 250, 307, 287, 283, 228)(195, 232, 289, 274, 224, 276, 233)(204, 248, 305, 252, 291, 306, 249)(207, 253, 266, 302, 246, 263, 215)(216, 220, 272, 326, 298, 321, 264)(218, 267, 323, 297, 261, 318, 268)(222, 275, 299, 324, 270, 311, 255)(225, 277, 316, 286, 229, 285, 278)(235, 262, 319, 296, 322, 265, 293)(236, 244, 282, 314, 257, 313, 294)(243, 300, 312, 256, 259, 317, 301)(247, 303, 315, 309, 251, 260, 304)(271, 290, 295, 328, 273, 292, 325)(281, 329, 320, 332, 331, 334, 310)(284, 327, 333, 335, 308, 336, 330)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 8^3 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E24.2018
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 168 f = 42
	degree seq :: [ 3^56, 7^24 ]

E24.2017 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1)^2, T1^7, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2, T1^-2 * T2^-1 * T1^5 * T2^-1, T2 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2 * T1^-1, (T2 * T1^-1 * T2 * T1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 23)(14, 35, 36)(15, 37, 38)(16, 39, 40)(19, 44, 45)(20, 46, 48)(21, 50, 51)(22, 52, 53)(27, 60, 34)(29, 57, 64)(30, 65, 56)(32, 69, 63)(33, 55, 71)(41, 78, 79)(42, 81, 82)(43, 83, 84)(47, 87, 49)(54, 93, 94)(58, 75, 98)(59, 99, 74)(61, 103, 97)(62, 73, 105)(66, 111, 70)(67, 108, 113)(68, 114, 107)(72, 118, 80)(76, 121, 122)(77, 124, 125)(85, 92, 132)(86, 133, 91)(88, 90, 136)(89, 137, 123)(95, 142, 96)(100, 149, 104)(101, 146, 150)(102, 131, 145)(106, 153, 154)(109, 117, 157)(110, 158, 116)(112, 128, 156)(115, 161, 160)(119, 134, 120)(126, 143, 130)(127, 129, 164)(135, 144, 165)(138, 141, 139)(140, 167, 155)(147, 152, 163)(148, 166, 151)(159, 168, 162)(169, 170, 174, 184, 200, 180, 172)(171, 177, 191, 222, 229, 195, 178)(173, 182, 202, 240, 209, 185, 183)(175, 187, 181, 201, 238, 215, 188)(176, 189, 217, 257, 244, 207, 190)(179, 197, 231, 274, 280, 234, 198)(186, 210, 248, 296, 283, 237, 211)(192, 213, 196, 230, 272, 263, 223)(193, 224, 264, 311, 308, 261, 225)(194, 226, 265, 312, 293, 268, 227)(199, 235, 208, 245, 291, 271, 236)(203, 212, 206, 216, 256, 287, 241)(204, 242, 288, 329, 330, 286, 243)(205, 221, 247, 295, 306, 258, 218)(214, 253, 279, 327, 322, 302, 254)(219, 259, 307, 282, 318, 305, 260)(220, 252, 290, 331, 326, 297, 249)(228, 269, 262, 309, 294, 246, 270)(232, 275, 323, 301, 334, 321, 276)(233, 277, 324, 299, 250, 298, 278)(239, 284, 317, 289, 303, 255, 285)(251, 281, 328, 316, 267, 315, 292)(266, 313, 336, 325, 300, 333, 314)(273, 319, 304, 335, 332, 310, 320)
	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) :: { ( 8^3 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E24.2019
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 168 f = 42
	degree seq :: [ 3^56, 7^24 ]

E24.2018 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, (T2 * T1^-1)^3, (T2^-2 * T1^-1 * T2^-1 * T1^-1)^2, (T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2^-1, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 9, 177, 5, 173)(2, 170, 6, 174, 16, 184, 7, 175)(4, 172, 11, 179, 26, 194, 12, 180)(8, 176, 20, 188, 42, 210, 21, 189)(10, 178, 18, 186, 38, 206, 24, 192)(13, 181, 30, 198, 55, 223, 27, 195)(14, 182, 31, 199, 62, 230, 32, 200)(15, 183, 33, 201, 66, 234, 34, 202)(17, 185, 28, 196, 56, 224, 37, 205)(19, 187, 39, 207, 78, 246, 40, 208)(22, 190, 46, 214, 90, 258, 47, 215)(23, 191, 44, 212, 86, 254, 48, 216)(25, 193, 51, 219, 97, 265, 52, 220)(29, 197, 57, 225, 89, 257, 58, 226)(35, 203, 70, 238, 121, 289, 71, 239)(36, 204, 68, 236, 118, 286, 72, 240)(41, 209, 81, 249, 64, 232, 82, 250)(43, 211, 49, 217, 93, 261, 85, 253)(45, 213, 87, 255, 138, 306, 88, 256)(50, 218, 94, 262, 59, 227, 95, 263)(53, 221, 101, 269, 151, 319, 102, 270)(54, 222, 99, 267, 135, 303, 83, 251)(60, 228, 63, 231, 114, 282, 110, 278)(61, 229, 111, 279, 157, 325, 112, 280)(65, 233, 115, 283, 80, 248, 116, 284)(67, 235, 73, 241, 123, 291, 117, 285)(69, 237, 119, 287, 163, 331, 120, 288)(74, 242, 124, 292, 75, 243, 125, 293)(76, 244, 79, 247, 130, 298, 126, 294)(77, 245, 127, 295, 147, 315, 128, 296)(84, 252, 133, 301, 161, 329, 129, 297)(91, 259, 92, 260, 143, 311, 142, 310)(96, 264, 148, 316, 109, 277, 149, 317)(98, 266, 103, 271, 137, 305, 139, 307)(100, 268, 144, 312, 146, 314, 150, 318)(104, 272, 145, 313, 105, 273, 152, 320)(106, 274, 108, 276, 155, 323, 153, 321)(107, 275, 154, 322, 165, 333, 141, 309)(113, 281, 122, 290, 164, 332, 134, 302)(131, 299, 167, 335, 140, 308, 158, 326)(132, 300, 136, 304, 156, 324, 159, 327)(160, 328, 162, 330, 166, 334, 168, 336)
	L = (1, 170)(2, 172)(3, 176)(4, 169)(5, 181)(6, 183)(7, 186)(8, 178)(9, 190)(10, 171)(11, 193)(12, 196)(13, 182)(14, 173)(15, 185)(16, 203)(17, 174)(18, 187)(19, 175)(20, 209)(21, 212)(22, 191)(23, 177)(24, 217)(25, 195)(26, 221)(27, 179)(28, 197)(29, 180)(30, 227)(31, 229)(32, 231)(33, 233)(34, 236)(35, 204)(36, 184)(37, 241)(38, 243)(39, 245)(40, 247)(41, 211)(42, 251)(43, 188)(44, 213)(45, 189)(46, 257)(47, 199)(48, 260)(49, 218)(50, 192)(51, 264)(52, 267)(53, 222)(54, 194)(55, 271)(56, 273)(57, 275)(58, 276)(59, 228)(60, 198)(61, 215)(62, 281)(63, 232)(64, 200)(65, 235)(66, 216)(67, 201)(68, 237)(69, 202)(70, 230)(71, 207)(72, 290)(73, 242)(74, 205)(75, 244)(76, 206)(77, 239)(78, 297)(79, 248)(80, 208)(81, 299)(82, 301)(83, 252)(84, 210)(85, 304)(86, 287)(87, 291)(88, 307)(89, 259)(90, 294)(91, 214)(92, 234)(93, 286)(94, 313)(95, 314)(96, 266)(97, 240)(98, 219)(99, 268)(100, 220)(101, 246)(102, 225)(103, 272)(104, 223)(105, 274)(106, 224)(107, 270)(108, 277)(109, 226)(110, 296)(111, 324)(112, 289)(113, 238)(114, 322)(115, 327)(116, 311)(117, 330)(118, 312)(119, 305)(120, 253)(121, 321)(122, 265)(123, 303)(124, 262)(125, 306)(126, 309)(127, 334)(128, 319)(129, 269)(130, 279)(131, 300)(132, 249)(133, 302)(134, 250)(135, 255)(136, 288)(137, 254)(138, 333)(139, 308)(140, 256)(141, 258)(142, 317)(143, 329)(144, 261)(145, 292)(146, 315)(147, 263)(148, 336)(149, 332)(150, 285)(151, 278)(152, 331)(153, 280)(154, 326)(155, 295)(156, 298)(157, 320)(158, 282)(159, 328)(160, 283)(161, 284)(162, 318)(163, 325)(164, 310)(165, 293)(166, 323)(167, 316)(168, 335)
	local type(s) :: { ( 3, 7, 3, 7, 3, 7, 3, 7 ) }
Outer automorphisms :: reflexible
Dual of E24.2016
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 42 e = 168 f = 80
	degree seq :: [ 8^42 ]

E24.2019 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^7, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 9, 177, 5, 173)(2, 170, 6, 174, 16, 184, 7, 175)(4, 172, 11, 179, 22, 190, 12, 180)(8, 176, 20, 188, 14, 182, 21, 189)(10, 178, 23, 191, 13, 181, 24, 192)(15, 183, 29, 197, 19, 187, 30, 198)(17, 185, 31, 199, 18, 186, 32, 200)(25, 193, 41, 209, 28, 196, 42, 210)(26, 194, 43, 211, 27, 195, 44, 212)(33, 201, 53, 221, 36, 204, 54, 222)(34, 202, 55, 223, 35, 203, 56, 224)(37, 205, 57, 225, 40, 208, 58, 226)(38, 206, 59, 227, 39, 207, 60, 228)(45, 213, 69, 237, 48, 216, 70, 238)(46, 214, 71, 239, 47, 215, 72, 240)(49, 217, 73, 241, 52, 220, 74, 242)(50, 218, 75, 243, 51, 219, 76, 244)(61, 229, 93, 261, 64, 232, 94, 262)(62, 230, 95, 263, 63, 231, 96, 264)(65, 233, 97, 265, 68, 236, 98, 266)(66, 234, 99, 267, 67, 235, 100, 268)(77, 245, 117, 285, 80, 248, 118, 286)(78, 246, 119, 287, 79, 247, 120, 288)(81, 249, 101, 269, 84, 252, 104, 272)(82, 250, 121, 289, 83, 251, 122, 290)(85, 253, 123, 291, 88, 256, 124, 292)(86, 254, 125, 293, 87, 255, 126, 294)(89, 257, 127, 295, 92, 260, 128, 296)(90, 258, 111, 279, 91, 259, 110, 278)(102, 270, 141, 309, 103, 271, 142, 310)(105, 273, 129, 297, 108, 276, 132, 300)(106, 274, 143, 311, 107, 275, 144, 312)(109, 277, 145, 313, 112, 280, 146, 314)(113, 281, 147, 315, 116, 284, 148, 316)(114, 282, 137, 305, 115, 283, 136, 304)(130, 298, 157, 325, 131, 299, 160, 328)(133, 301, 161, 329, 134, 302, 162, 330)(135, 303, 151, 319, 138, 306, 154, 322)(139, 307, 163, 331, 140, 308, 164, 332)(149, 317, 155, 323, 150, 318, 156, 324)(152, 320, 159, 327, 153, 321, 158, 326)(165, 333, 167, 335, 166, 334, 168, 336)
	L = (1, 170)(2, 172)(3, 176)(4, 169)(5, 181)(6, 183)(7, 186)(8, 178)(9, 190)(10, 171)(11, 193)(12, 195)(13, 182)(14, 173)(15, 185)(16, 177)(17, 174)(18, 187)(19, 175)(20, 201)(21, 203)(22, 184)(23, 205)(24, 207)(25, 194)(26, 179)(27, 196)(28, 180)(29, 213)(30, 215)(31, 217)(32, 219)(33, 202)(34, 188)(35, 204)(36, 189)(37, 206)(38, 191)(39, 208)(40, 192)(41, 229)(42, 231)(43, 233)(44, 235)(45, 214)(46, 197)(47, 216)(48, 198)(49, 218)(50, 199)(51, 220)(52, 200)(53, 245)(54, 247)(55, 249)(56, 251)(57, 253)(58, 255)(59, 257)(60, 259)(61, 230)(62, 209)(63, 232)(64, 210)(65, 234)(66, 211)(67, 236)(68, 212)(69, 269)(70, 271)(71, 273)(72, 275)(73, 277)(74, 279)(75, 281)(76, 283)(77, 246)(78, 221)(79, 248)(80, 222)(81, 250)(82, 223)(83, 252)(84, 224)(85, 254)(86, 225)(87, 256)(88, 226)(89, 258)(90, 227)(91, 260)(92, 228)(93, 297)(94, 299)(95, 286)(96, 302)(97, 303)(98, 305)(99, 307)(100, 294)(101, 270)(102, 237)(103, 272)(104, 238)(105, 274)(106, 239)(107, 276)(108, 240)(109, 278)(110, 241)(111, 280)(112, 242)(113, 282)(114, 243)(115, 284)(116, 244)(117, 264)(118, 301)(119, 317)(120, 316)(121, 319)(122, 321)(123, 323)(124, 312)(125, 267)(126, 308)(127, 325)(128, 327)(129, 298)(130, 261)(131, 300)(132, 262)(133, 263)(134, 285)(135, 304)(136, 265)(137, 306)(138, 266)(139, 293)(140, 268)(141, 333)(142, 332)(143, 291)(144, 324)(145, 335)(146, 330)(147, 287)(148, 318)(149, 315)(150, 288)(151, 320)(152, 289)(153, 322)(154, 290)(155, 311)(156, 292)(157, 326)(158, 295)(159, 328)(160, 296)(161, 313)(162, 336)(163, 309)(164, 334)(165, 331)(166, 310)(167, 329)(168, 314)
	local type(s) :: { ( 3, 7, 3, 7, 3, 7, 3, 7 ) }
Outer automorphisms :: reflexible
Dual of E24.2017
Transitivity :: ET+ VT+ AT
Graph::
	v = 42 e = 168 f = 80
	degree seq :: [ 8^42 ]

E24.2020 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, T1^4, (T2^-1 * T1^-1)^3, T2^7, T1^-2 * T2 * T1^-1 * T2^2 * T1^-1 * T2, (T2^3 * T1^-1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 10, 178, 24, 192, 30, 198, 14, 182, 5, 173)(2, 170, 7, 175, 18, 186, 37, 205, 40, 208, 20, 188, 8, 176)(4, 172, 11, 179, 26, 194, 48, 216, 50, 218, 27, 195, 12, 180)(6, 174, 15, 183, 32, 200, 57, 225, 60, 228, 34, 202, 16, 184)(9, 177, 21, 189, 41, 209, 70, 238, 73, 241, 43, 211, 22, 190)(13, 181, 28, 196, 52, 220, 84, 252, 62, 230, 35, 203, 17, 185)(19, 187, 38, 206, 66, 234, 101, 269, 88, 256, 55, 223, 31, 199)(23, 191, 39, 207, 67, 235, 103, 271, 111, 279, 75, 243, 44, 212)(25, 193, 33, 201, 58, 226, 92, 260, 114, 282, 77, 245, 46, 214)(29, 197, 53, 221, 86, 254, 124, 292, 116, 284, 78, 246, 47, 215)(36, 204, 59, 227, 93, 261, 132, 300, 136, 304, 98, 266, 63, 231)(42, 210, 71, 239, 107, 275, 146, 314, 138, 306, 99, 267, 65, 233)(45, 213, 72, 240, 108, 276, 148, 316, 121, 289, 83, 251, 54, 222)(49, 217, 80, 248, 118, 286, 156, 324, 128, 296, 89, 257, 56, 224)(51, 219, 76, 244, 112, 280, 151, 319, 159, 327, 120, 288, 82, 250)(61, 229, 95, 263, 134, 302, 147, 315, 165, 333, 129, 297, 91, 259)(64, 232, 96, 264, 122, 290, 158, 326, 139, 307, 100, 268, 68, 236)(69, 237, 87, 255, 125, 293, 163, 331, 160, 328, 143, 311, 104, 272)(74, 242, 110, 278, 149, 317, 131, 299, 164, 332, 144, 312, 106, 274)(79, 247, 113, 281, 152, 320, 145, 313, 109, 277, 105, 273, 81, 249)(85, 253, 119, 287, 157, 325, 162, 330, 127, 295, 161, 329, 123, 291)(90, 258, 126, 294, 140, 308, 168, 336, 153, 321, 130, 298, 94, 262)(97, 265, 135, 303, 155, 323, 117, 285, 142, 310, 166, 334, 133, 301)(102, 270, 137, 305, 167, 335, 150, 318, 115, 283, 154, 322, 141, 309)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 179)(6, 172)(7, 185)(8, 171)(9, 187)(10, 191)(11, 193)(12, 183)(13, 173)(14, 196)(15, 199)(16, 175)(17, 201)(18, 204)(19, 176)(20, 206)(21, 180)(22, 178)(23, 210)(24, 213)(25, 181)(26, 215)(27, 209)(28, 219)(29, 182)(30, 221)(31, 189)(32, 224)(33, 184)(34, 226)(35, 186)(36, 229)(37, 232)(38, 233)(39, 188)(40, 235)(41, 237)(42, 190)(43, 239)(44, 192)(45, 242)(46, 194)(47, 244)(48, 247)(49, 195)(50, 248)(51, 197)(52, 251)(53, 253)(54, 198)(55, 200)(56, 255)(57, 258)(58, 259)(59, 202)(60, 261)(61, 203)(62, 263)(63, 205)(64, 265)(65, 207)(66, 268)(67, 270)(68, 208)(69, 217)(70, 273)(71, 274)(72, 211)(73, 276)(74, 212)(75, 278)(76, 214)(77, 280)(78, 216)(79, 283)(80, 285)(81, 218)(82, 220)(83, 287)(84, 290)(85, 222)(86, 243)(87, 223)(88, 293)(89, 225)(90, 295)(91, 227)(92, 298)(93, 299)(94, 228)(95, 301)(96, 230)(97, 231)(98, 303)(99, 234)(100, 305)(101, 308)(102, 236)(103, 266)(104, 238)(105, 310)(106, 240)(107, 313)(108, 315)(109, 241)(110, 291)(111, 292)(112, 318)(113, 245)(114, 320)(115, 246)(116, 322)(117, 249)(118, 284)(119, 250)(120, 325)(121, 252)(122, 328)(123, 254)(124, 324)(125, 330)(126, 256)(127, 257)(128, 329)(129, 260)(130, 332)(131, 262)(132, 296)(133, 264)(134, 316)(135, 309)(136, 279)(137, 267)(138, 335)(139, 269)(140, 327)(141, 271)(142, 272)(143, 334)(144, 275)(145, 333)(146, 321)(147, 277)(148, 311)(149, 300)(150, 281)(151, 336)(152, 314)(153, 282)(154, 323)(155, 286)(156, 304)(157, 331)(158, 288)(159, 307)(160, 289)(161, 317)(162, 294)(163, 326)(164, 297)(165, 312)(166, 302)(167, 319)(168, 306)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.2013
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 168 f = 98
	degree seq :: [ 14^24 ]

E24.2021 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, (T2^-2 * T1)^2, T2^7, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T2 * T1^-1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 10, 178, 29, 197, 41, 209, 16, 184, 5, 173)(2, 170, 7, 175, 20, 188, 51, 219, 58, 226, 24, 192, 8, 176)(4, 172, 12, 180, 33, 201, 76, 244, 81, 249, 36, 204, 13, 181)(6, 174, 17, 185, 43, 211, 93, 261, 98, 266, 47, 215, 18, 186)(9, 177, 26, 194, 61, 229, 119, 287, 125, 293, 65, 233, 27, 195)(11, 179, 30, 198, 14, 182, 38, 206, 85, 253, 72, 240, 31, 199)(15, 183, 39, 207, 88, 256, 151, 319, 101, 269, 49, 217, 19, 187)(21, 189, 52, 220, 22, 190, 55, 223, 109, 277, 106, 274, 53, 221)(23, 191, 56, 224, 111, 279, 165, 333, 149, 317, 87, 255, 42, 210)(25, 193, 59, 227, 115, 283, 134, 302, 163, 331, 118, 286, 60, 228)(28, 196, 66, 234, 80, 248, 143, 311, 138, 306, 91, 259, 67, 235)(32, 200, 46, 214, 64, 232, 123, 291, 167, 335, 135, 303, 74, 242)(34, 202, 77, 245, 35, 203, 79, 247, 142, 310, 126, 294, 78, 246)(37, 205, 82, 250, 100, 268, 160, 328, 112, 280, 146, 314, 83, 251)(40, 208, 90, 258, 68, 236, 114, 282, 102, 270, 50, 218, 84, 252)(44, 212, 94, 262, 45, 213, 96, 264, 116, 284, 145, 313, 95, 263)(48, 216, 62, 230, 120, 288, 63, 231, 122, 290, 89, 257, 99, 267)(54, 222, 107, 275, 148, 316, 128, 296, 121, 289, 133, 301, 73, 241)(57, 225, 113, 281, 103, 271, 158, 326, 153, 321, 92, 260, 108, 276)(69, 237, 117, 285, 127, 295, 105, 273, 147, 315, 86, 254, 129, 297)(70, 238, 130, 298, 71, 239, 132, 300, 139, 307, 152, 320, 131, 299)(75, 243, 136, 304, 97, 265, 157, 325, 154, 322, 144, 312, 137, 305)(104, 272, 159, 327, 162, 330, 156, 324, 124, 292, 110, 278, 164, 332)(140, 308, 161, 329, 141, 309, 150, 318, 155, 323, 168, 336, 166, 334)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 182)(6, 172)(7, 187)(8, 190)(9, 193)(10, 196)(11, 171)(12, 200)(13, 203)(14, 205)(15, 173)(16, 201)(17, 210)(18, 213)(19, 216)(20, 218)(21, 175)(22, 222)(23, 176)(24, 178)(25, 179)(26, 181)(27, 231)(28, 225)(29, 236)(30, 237)(31, 239)(32, 241)(33, 243)(34, 180)(35, 230)(36, 211)(37, 183)(38, 252)(39, 255)(40, 184)(41, 256)(42, 251)(43, 260)(44, 185)(45, 227)(46, 186)(47, 188)(48, 189)(49, 268)(50, 265)(51, 271)(52, 272)(53, 254)(54, 191)(55, 276)(56, 242)(57, 192)(58, 279)(59, 214)(60, 284)(61, 217)(62, 194)(63, 289)(64, 195)(65, 197)(66, 199)(67, 294)(68, 292)(69, 296)(70, 198)(71, 247)(72, 283)(73, 202)(74, 302)(75, 208)(76, 306)(77, 307)(78, 309)(79, 234)(80, 204)(81, 287)(82, 299)(83, 212)(84, 221)(85, 311)(86, 206)(87, 316)(88, 318)(89, 207)(90, 320)(91, 209)(92, 248)(93, 322)(94, 323)(95, 278)(96, 304)(97, 215)(98, 291)(99, 310)(100, 286)(101, 219)(102, 240)(103, 329)(104, 331)(105, 220)(106, 288)(107, 295)(108, 263)(109, 258)(110, 223)(111, 300)(112, 224)(113, 285)(114, 226)(115, 330)(116, 281)(117, 228)(118, 229)(119, 332)(120, 334)(121, 232)(122, 324)(123, 297)(124, 233)(125, 335)(126, 275)(127, 235)(128, 238)(129, 326)(130, 317)(131, 305)(132, 282)(133, 277)(134, 280)(135, 244)(136, 246)(137, 313)(138, 315)(139, 328)(140, 245)(141, 264)(142, 325)(143, 336)(144, 249)(145, 250)(146, 253)(147, 303)(148, 257)(149, 261)(150, 259)(151, 293)(152, 301)(153, 274)(154, 298)(155, 290)(156, 262)(157, 327)(158, 266)(159, 267)(160, 308)(161, 269)(162, 270)(163, 273)(164, 312)(165, 319)(166, 321)(167, 333)(168, 314)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.2012
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 168 f = 98
	degree seq :: [ 14^24 ]

E24.2022 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, T1^7, (T1 * T2 * T1^2)^2, (T2^-1 * T1^-1)^4, T1^-3 * T2 * T1^3 * T2 * T1^-1, T1^2 * T2 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 5, 173)(2, 170, 7, 175, 8, 176)(4, 172, 11, 179, 13, 181)(6, 174, 17, 185, 18, 186)(9, 177, 24, 192, 25, 193)(10, 178, 21, 189, 27, 195)(12, 180, 30, 198, 32, 200)(14, 182, 36, 204, 29, 197)(15, 183, 37, 205, 39, 207)(16, 184, 40, 208, 41, 209)(19, 187, 47, 215, 48, 216)(20, 188, 44, 212, 50, 218)(22, 190, 52, 220, 54, 222)(23, 191, 56, 224, 57, 225)(26, 194, 61, 229, 63, 231)(28, 196, 67, 235, 68, 236)(31, 199, 72, 240, 55, 223)(33, 201, 75, 243, 71, 239)(34, 202, 76, 244, 58, 226)(35, 203, 78, 246, 79, 247)(38, 206, 83, 251, 84, 252)(42, 210, 87, 255, 88, 256)(43, 211, 86, 254, 89, 257)(45, 213, 91, 259, 92, 260)(46, 214, 93, 261, 94, 262)(49, 217, 97, 265, 98, 266)(51, 219, 102, 270, 103, 271)(53, 221, 105, 273, 106, 274)(59, 227, 109, 277, 113, 281)(60, 228, 114, 282, 116, 284)(62, 230, 119, 287, 77, 245)(64, 232, 100, 268, 118, 286)(65, 233, 122, 290, 80, 248)(66, 234, 123, 291, 124, 292)(69, 237, 127, 295, 128, 296)(70, 238, 110, 278, 129, 297)(73, 241, 130, 298, 101, 269)(74, 242, 112, 280, 131, 299)(81, 249, 135, 303, 132, 300)(82, 250, 140, 308, 96, 264)(85, 253, 142, 310, 141, 309)(90, 258, 147, 315, 148, 316)(95, 263, 151, 319, 152, 320)(99, 267, 146, 314, 154, 322)(104, 272, 159, 327, 144, 312)(107, 275, 161, 329, 160, 328)(108, 276, 162, 330, 155, 323)(111, 279, 163, 331, 143, 311)(115, 283, 158, 326, 134, 302)(117, 285, 136, 304, 164, 332)(120, 288, 145, 313, 139, 307)(121, 289, 138, 306, 165, 333)(125, 293, 157, 325, 166, 334)(126, 294, 150, 318, 167, 335)(133, 301, 156, 324, 153, 321)(137, 305, 149, 317, 168, 336)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 182)(6, 184)(7, 187)(8, 189)(9, 191)(10, 171)(11, 196)(12, 172)(13, 201)(14, 203)(15, 173)(16, 199)(17, 210)(18, 212)(19, 214)(20, 175)(21, 219)(22, 176)(23, 223)(24, 226)(25, 205)(26, 178)(27, 232)(28, 234)(29, 179)(30, 238)(31, 180)(32, 241)(33, 242)(34, 181)(35, 245)(36, 248)(37, 250)(38, 183)(39, 253)(40, 206)(41, 254)(42, 202)(43, 185)(44, 258)(45, 186)(46, 200)(47, 207)(48, 220)(49, 188)(50, 267)(51, 269)(52, 272)(53, 190)(54, 275)(55, 230)(56, 276)(57, 277)(58, 279)(59, 192)(60, 193)(61, 285)(62, 194)(63, 288)(64, 289)(65, 195)(66, 209)(67, 262)(68, 244)(69, 197)(70, 213)(71, 198)(72, 221)(73, 217)(74, 211)(75, 300)(76, 282)(77, 208)(78, 263)(79, 303)(80, 305)(81, 204)(82, 307)(83, 260)(84, 291)(85, 266)(86, 237)(87, 222)(88, 259)(89, 313)(90, 239)(91, 317)(92, 304)(93, 318)(94, 319)(95, 215)(96, 216)(97, 293)(98, 302)(99, 323)(100, 218)(101, 240)(102, 311)(103, 290)(104, 326)(105, 292)(106, 224)(107, 299)(108, 233)(109, 316)(110, 225)(111, 231)(112, 227)(113, 329)(114, 314)(115, 228)(116, 327)(117, 278)(118, 229)(119, 283)(120, 280)(121, 274)(122, 295)(123, 306)(124, 325)(125, 235)(126, 236)(127, 328)(128, 322)(129, 261)(130, 321)(131, 324)(132, 312)(133, 243)(134, 246)(135, 315)(136, 247)(137, 252)(138, 249)(139, 287)(140, 336)(141, 251)(142, 281)(143, 255)(144, 256)(145, 294)(146, 257)(147, 309)(148, 286)(149, 301)(150, 268)(151, 296)(152, 332)(153, 264)(154, 265)(155, 297)(156, 270)(157, 271)(158, 298)(159, 333)(160, 273)(161, 320)(162, 284)(163, 334)(164, 331)(165, 335)(166, 310)(167, 308)(168, 330)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E24.2015
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 56 e = 168 f = 66
	degree seq :: [ 6^56 ]

E24.2023 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1)^2, T1^7, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2, T1^-2 * T2^-1 * T1^5 * T2^-1, T2 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2 * T1^-1, (T2 * T1^-1 * T2 * T1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 5, 173)(2, 170, 7, 175, 8, 176)(4, 172, 11, 179, 13, 181)(6, 174, 17, 185, 18, 186)(9, 177, 24, 192, 25, 193)(10, 178, 26, 194, 28, 196)(12, 180, 31, 199, 23, 191)(14, 182, 35, 203, 36, 204)(15, 183, 37, 205, 38, 206)(16, 184, 39, 207, 40, 208)(19, 187, 44, 212, 45, 213)(20, 188, 46, 214, 48, 216)(21, 189, 50, 218, 51, 219)(22, 190, 52, 220, 53, 221)(27, 195, 60, 228, 34, 202)(29, 197, 57, 225, 64, 232)(30, 198, 65, 233, 56, 224)(32, 200, 69, 237, 63, 231)(33, 201, 55, 223, 71, 239)(41, 209, 78, 246, 79, 247)(42, 210, 81, 249, 82, 250)(43, 211, 83, 251, 84, 252)(47, 215, 87, 255, 49, 217)(54, 222, 93, 261, 94, 262)(58, 226, 75, 243, 98, 266)(59, 227, 99, 267, 74, 242)(61, 229, 103, 271, 97, 265)(62, 230, 73, 241, 105, 273)(66, 234, 111, 279, 70, 238)(67, 235, 108, 276, 113, 281)(68, 236, 114, 282, 107, 275)(72, 240, 118, 286, 80, 248)(76, 244, 121, 289, 122, 290)(77, 245, 124, 292, 125, 293)(85, 253, 92, 260, 132, 300)(86, 254, 133, 301, 91, 259)(88, 256, 90, 258, 136, 304)(89, 257, 137, 305, 123, 291)(95, 263, 142, 310, 96, 264)(100, 268, 149, 317, 104, 272)(101, 269, 146, 314, 150, 318)(102, 270, 131, 299, 145, 313)(106, 274, 153, 321, 154, 322)(109, 277, 117, 285, 157, 325)(110, 278, 158, 326, 116, 284)(112, 280, 128, 296, 156, 324)(115, 283, 161, 329, 160, 328)(119, 287, 134, 302, 120, 288)(126, 294, 143, 311, 130, 298)(127, 295, 129, 297, 164, 332)(135, 303, 144, 312, 165, 333)(138, 306, 141, 309, 139, 307)(140, 308, 167, 335, 155, 323)(147, 315, 152, 320, 163, 331)(148, 316, 166, 334, 151, 319)(159, 327, 168, 336, 162, 330)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 182)(6, 184)(7, 187)(8, 189)(9, 191)(10, 171)(11, 197)(12, 172)(13, 201)(14, 202)(15, 173)(16, 200)(17, 183)(18, 210)(19, 181)(20, 175)(21, 217)(22, 176)(23, 222)(24, 213)(25, 224)(26, 226)(27, 178)(28, 230)(29, 231)(30, 179)(31, 235)(32, 180)(33, 238)(34, 240)(35, 212)(36, 242)(37, 221)(38, 216)(39, 190)(40, 245)(41, 185)(42, 248)(43, 186)(44, 206)(45, 196)(46, 253)(47, 188)(48, 256)(49, 257)(50, 205)(51, 259)(52, 252)(53, 247)(54, 229)(55, 192)(56, 264)(57, 193)(58, 265)(59, 194)(60, 269)(61, 195)(62, 272)(63, 274)(64, 275)(65, 277)(66, 198)(67, 208)(68, 199)(69, 211)(70, 215)(71, 284)(72, 209)(73, 203)(74, 288)(75, 204)(76, 207)(77, 291)(78, 270)(79, 295)(80, 296)(81, 220)(82, 298)(83, 281)(84, 290)(85, 279)(86, 214)(87, 285)(88, 287)(89, 244)(90, 218)(91, 307)(92, 219)(93, 225)(94, 309)(95, 223)(96, 311)(97, 312)(98, 313)(99, 315)(100, 227)(101, 262)(102, 228)(103, 236)(104, 263)(105, 319)(106, 280)(107, 323)(108, 232)(109, 324)(110, 233)(111, 327)(112, 234)(113, 328)(114, 318)(115, 237)(116, 317)(117, 239)(118, 243)(119, 241)(120, 329)(121, 303)(122, 331)(123, 271)(124, 251)(125, 268)(126, 246)(127, 306)(128, 283)(129, 249)(130, 278)(131, 250)(132, 333)(133, 334)(134, 254)(135, 255)(136, 335)(137, 260)(138, 258)(139, 282)(140, 261)(141, 294)(142, 320)(143, 308)(144, 293)(145, 336)(146, 266)(147, 292)(148, 267)(149, 289)(150, 305)(151, 304)(152, 273)(153, 276)(154, 302)(155, 301)(156, 299)(157, 300)(158, 297)(159, 322)(160, 316)(161, 330)(162, 286)(163, 326)(164, 310)(165, 314)(166, 321)(167, 332)(168, 325)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E24.2014
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 56 e = 168 f = 66
	degree seq :: [ 6^56 ]

E24.2024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, Y2^4, Y1 * R * Y3^-1 * R, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2, R * Y2^-1 * Y1 * R * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, R * Y2 * Y1 * R * Y2 * Y3^-1, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 10, 178)(5, 173, 13, 181, 14, 182)(6, 174, 15, 183, 17, 185)(7, 175, 18, 186, 19, 187)(9, 177, 22, 190, 16, 184)(11, 179, 25, 193, 26, 194)(12, 180, 27, 195, 28, 196)(20, 188, 33, 201, 34, 202)(21, 189, 35, 203, 36, 204)(23, 191, 37, 205, 38, 206)(24, 192, 39, 207, 40, 208)(29, 197, 45, 213, 46, 214)(30, 198, 47, 215, 48, 216)(31, 199, 49, 217, 50, 218)(32, 200, 51, 219, 52, 220)(41, 209, 61, 229, 62, 230)(42, 210, 63, 231, 64, 232)(43, 211, 65, 233, 66, 234)(44, 212, 67, 235, 68, 236)(53, 221, 77, 245, 78, 246)(54, 222, 79, 247, 80, 248)(55, 223, 81, 249, 82, 250)(56, 224, 83, 251, 84, 252)(57, 225, 85, 253, 86, 254)(58, 226, 87, 255, 88, 256)(59, 227, 89, 257, 90, 258)(60, 228, 91, 259, 92, 260)(69, 237, 101, 269, 102, 270)(70, 238, 103, 271, 104, 272)(71, 239, 105, 273, 106, 274)(72, 240, 107, 275, 108, 276)(73, 241, 109, 277, 110, 278)(74, 242, 111, 279, 112, 280)(75, 243, 113, 281, 114, 282)(76, 244, 115, 283, 116, 284)(93, 261, 129, 297, 130, 298)(94, 262, 131, 299, 132, 300)(95, 263, 118, 286, 133, 301)(96, 264, 134, 302, 117, 285)(97, 265, 135, 303, 136, 304)(98, 266, 137, 305, 138, 306)(99, 267, 139, 307, 125, 293)(100, 268, 126, 294, 140, 308)(119, 287, 149, 317, 147, 315)(120, 288, 148, 316, 150, 318)(121, 289, 151, 319, 152, 320)(122, 290, 153, 321, 154, 322)(123, 291, 155, 323, 143, 311)(124, 292, 144, 312, 156, 324)(127, 295, 157, 325, 158, 326)(128, 296, 159, 327, 160, 328)(141, 309, 165, 333, 163, 331)(142, 310, 164, 332, 166, 334)(145, 313, 167, 335, 161, 329)(146, 314, 162, 330, 168, 336)(337, 505, 339, 507, 345, 513, 341, 509)(338, 506, 342, 510, 352, 520, 343, 511)(340, 508, 347, 515, 358, 526, 348, 516)(344, 512, 356, 524, 350, 518, 357, 525)(346, 514, 359, 527, 349, 517, 360, 528)(351, 519, 365, 533, 355, 523, 366, 534)(353, 521, 367, 535, 354, 522, 368, 536)(361, 529, 377, 545, 364, 532, 378, 546)(362, 530, 379, 547, 363, 531, 380, 548)(369, 537, 389, 557, 372, 540, 390, 558)(370, 538, 391, 559, 371, 539, 392, 560)(373, 541, 393, 561, 376, 544, 394, 562)(374, 542, 395, 563, 375, 543, 396, 564)(381, 549, 405, 573, 384, 552, 406, 574)(382, 550, 407, 575, 383, 551, 408, 576)(385, 553, 409, 577, 388, 556, 410, 578)(386, 554, 411, 579, 387, 555, 412, 580)(397, 565, 429, 597, 400, 568, 430, 598)(398, 566, 431, 599, 399, 567, 432, 600)(401, 569, 433, 601, 404, 572, 434, 602)(402, 570, 435, 603, 403, 571, 436, 604)(413, 581, 453, 621, 416, 584, 454, 622)(414, 582, 455, 623, 415, 583, 456, 624)(417, 585, 437, 605, 420, 588, 440, 608)(418, 586, 457, 625, 419, 587, 458, 626)(421, 589, 459, 627, 424, 592, 460, 628)(422, 590, 461, 629, 423, 591, 462, 630)(425, 593, 463, 631, 428, 596, 464, 632)(426, 594, 447, 615, 427, 595, 446, 614)(438, 606, 477, 645, 439, 607, 478, 646)(441, 609, 465, 633, 444, 612, 468, 636)(442, 610, 479, 647, 443, 611, 480, 648)(445, 613, 481, 649, 448, 616, 482, 650)(449, 617, 483, 651, 452, 620, 484, 652)(450, 618, 473, 641, 451, 619, 472, 640)(466, 634, 493, 661, 467, 635, 496, 664)(469, 637, 497, 665, 470, 638, 498, 666)(471, 639, 487, 655, 474, 642, 490, 658)(475, 643, 499, 667, 476, 644, 500, 668)(485, 653, 491, 659, 486, 654, 492, 660)(488, 656, 495, 663, 489, 657, 494, 662)(501, 669, 503, 671, 502, 670, 504, 672)
	L = (1, 340)(2, 337)(3, 346)(4, 338)(5, 350)(6, 353)(7, 355)(8, 339)(9, 352)(10, 344)(11, 362)(12, 364)(13, 341)(14, 349)(15, 342)(16, 358)(17, 351)(18, 343)(19, 354)(20, 370)(21, 372)(22, 345)(23, 374)(24, 376)(25, 347)(26, 361)(27, 348)(28, 363)(29, 382)(30, 384)(31, 386)(32, 388)(33, 356)(34, 369)(35, 357)(36, 371)(37, 359)(38, 373)(39, 360)(40, 375)(41, 398)(42, 400)(43, 402)(44, 404)(45, 365)(46, 381)(47, 366)(48, 383)(49, 367)(50, 385)(51, 368)(52, 387)(53, 414)(54, 416)(55, 418)(56, 420)(57, 422)(58, 424)(59, 426)(60, 428)(61, 377)(62, 397)(63, 378)(64, 399)(65, 379)(66, 401)(67, 380)(68, 403)(69, 438)(70, 440)(71, 442)(72, 444)(73, 446)(74, 448)(75, 450)(76, 452)(77, 389)(78, 413)(79, 390)(80, 415)(81, 391)(82, 417)(83, 392)(84, 419)(85, 393)(86, 421)(87, 394)(88, 423)(89, 395)(90, 425)(91, 396)(92, 427)(93, 466)(94, 468)(95, 469)(96, 453)(97, 472)(98, 474)(99, 461)(100, 476)(101, 405)(102, 437)(103, 406)(104, 439)(105, 407)(106, 441)(107, 408)(108, 443)(109, 409)(110, 445)(111, 410)(112, 447)(113, 411)(114, 449)(115, 412)(116, 451)(117, 470)(118, 431)(119, 483)(120, 486)(121, 488)(122, 490)(123, 479)(124, 492)(125, 475)(126, 436)(127, 494)(128, 496)(129, 429)(130, 465)(131, 430)(132, 467)(133, 454)(134, 432)(135, 433)(136, 471)(137, 434)(138, 473)(139, 435)(140, 462)(141, 499)(142, 502)(143, 491)(144, 460)(145, 497)(146, 504)(147, 485)(148, 456)(149, 455)(150, 484)(151, 457)(152, 487)(153, 458)(154, 489)(155, 459)(156, 480)(157, 463)(158, 493)(159, 464)(160, 495)(161, 503)(162, 482)(163, 501)(164, 478)(165, 477)(166, 500)(167, 481)(168, 498)(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, 14, 2, 14, 2, 14 ), ( 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.2030
Graph:: bipartite
	v = 98 e = 336 f = 192
	degree seq :: [ 6^56, 8^42 ]

E24.2025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 10, 178)(5, 173, 13, 181, 14, 182)(6, 174, 15, 183, 17, 185)(7, 175, 18, 186, 19, 187)(9, 177, 22, 190, 23, 191)(11, 179, 25, 193, 27, 195)(12, 180, 28, 196, 29, 197)(16, 184, 35, 203, 36, 204)(20, 188, 41, 209, 43, 211)(21, 189, 44, 212, 45, 213)(24, 192, 49, 217, 50, 218)(26, 194, 53, 221, 54, 222)(30, 198, 59, 227, 60, 228)(31, 199, 61, 229, 47, 215)(32, 200, 63, 231, 64, 232)(33, 201, 65, 233, 67, 235)(34, 202, 68, 236, 69, 237)(37, 205, 73, 241, 74, 242)(38, 206, 75, 243, 76, 244)(39, 207, 77, 245, 71, 239)(40, 208, 79, 247, 80, 248)(42, 210, 83, 251, 84, 252)(46, 214, 89, 257, 91, 259)(48, 216, 92, 260, 66, 234)(51, 219, 96, 264, 98, 266)(52, 220, 99, 267, 100, 268)(55, 223, 103, 271, 104, 272)(56, 224, 105, 273, 106, 274)(57, 225, 107, 275, 102, 270)(58, 226, 108, 276, 109, 277)(62, 230, 113, 281, 70, 238)(72, 240, 122, 290, 97, 265)(78, 246, 129, 297, 101, 269)(81, 249, 131, 299, 132, 300)(82, 250, 133, 301, 134, 302)(85, 253, 136, 304, 120, 288)(86, 254, 119, 287, 137, 305)(87, 255, 123, 291, 135, 303)(88, 256, 139, 307, 140, 308)(90, 258, 126, 294, 141, 309)(93, 261, 118, 286, 144, 312)(94, 262, 145, 313, 124, 292)(95, 263, 146, 314, 147, 315)(110, 278, 128, 296, 151, 319)(111, 279, 156, 324, 130, 298)(112, 280, 121, 289, 153, 321)(114, 282, 154, 322, 158, 326)(115, 283, 159, 327, 160, 328)(116, 284, 143, 311, 161, 329)(117, 285, 162, 330, 150, 318)(125, 293, 138, 306, 165, 333)(127, 295, 166, 334, 155, 323)(142, 310, 149, 317, 164, 332)(148, 316, 168, 336, 167, 335)(152, 320, 163, 331, 157, 325)(337, 505, 339, 507, 345, 513, 341, 509)(338, 506, 342, 510, 352, 520, 343, 511)(340, 508, 347, 515, 362, 530, 348, 516)(344, 512, 356, 524, 378, 546, 357, 525)(346, 514, 354, 522, 374, 542, 360, 528)(349, 517, 366, 534, 391, 559, 363, 531)(350, 518, 367, 535, 398, 566, 368, 536)(351, 519, 369, 537, 402, 570, 370, 538)(353, 521, 364, 532, 392, 560, 373, 541)(355, 523, 375, 543, 414, 582, 376, 544)(358, 526, 382, 550, 426, 594, 383, 551)(359, 527, 380, 548, 422, 590, 384, 552)(361, 529, 387, 555, 433, 601, 388, 556)(365, 533, 393, 561, 425, 593, 394, 562)(371, 539, 406, 574, 457, 625, 407, 575)(372, 540, 404, 572, 454, 622, 408, 576)(377, 545, 417, 585, 400, 568, 418, 586)(379, 547, 385, 553, 429, 597, 421, 589)(381, 549, 423, 591, 474, 642, 424, 592)(386, 554, 430, 598, 395, 563, 431, 599)(389, 557, 437, 605, 487, 655, 438, 606)(390, 558, 435, 603, 471, 639, 419, 587)(396, 564, 399, 567, 450, 618, 446, 614)(397, 565, 447, 615, 493, 661, 448, 616)(401, 569, 451, 619, 416, 584, 452, 620)(403, 571, 409, 577, 459, 627, 453, 621)(405, 573, 455, 623, 499, 667, 456, 624)(410, 578, 460, 628, 411, 579, 461, 629)(412, 580, 415, 583, 466, 634, 462, 630)(413, 581, 463, 631, 483, 651, 464, 632)(420, 588, 469, 637, 497, 665, 465, 633)(427, 595, 428, 596, 479, 647, 478, 646)(432, 600, 484, 652, 445, 613, 485, 653)(434, 602, 439, 607, 473, 641, 475, 643)(436, 604, 480, 648, 482, 650, 486, 654)(440, 608, 481, 649, 441, 609, 488, 656)(442, 610, 444, 612, 491, 659, 489, 657)(443, 611, 490, 658, 501, 669, 477, 645)(449, 617, 458, 626, 500, 668, 470, 638)(467, 635, 503, 671, 476, 644, 494, 662)(468, 636, 472, 640, 492, 660, 495, 663)(496, 664, 498, 666, 502, 670, 504, 672)
	L = (1, 340)(2, 337)(3, 346)(4, 338)(5, 350)(6, 353)(7, 355)(8, 339)(9, 359)(10, 344)(11, 363)(12, 365)(13, 341)(14, 349)(15, 342)(16, 372)(17, 351)(18, 343)(19, 354)(20, 379)(21, 381)(22, 345)(23, 358)(24, 386)(25, 347)(26, 390)(27, 361)(28, 348)(29, 364)(30, 396)(31, 383)(32, 400)(33, 403)(34, 405)(35, 352)(36, 371)(37, 410)(38, 412)(39, 407)(40, 416)(41, 356)(42, 420)(43, 377)(44, 357)(45, 380)(46, 427)(47, 397)(48, 402)(49, 360)(50, 385)(51, 434)(52, 436)(53, 362)(54, 389)(55, 440)(56, 442)(57, 438)(58, 445)(59, 366)(60, 395)(61, 367)(62, 406)(63, 368)(64, 399)(65, 369)(66, 428)(67, 401)(68, 370)(69, 404)(70, 449)(71, 413)(72, 433)(73, 373)(74, 409)(75, 374)(76, 411)(77, 375)(78, 437)(79, 376)(80, 415)(81, 468)(82, 470)(83, 378)(84, 419)(85, 456)(86, 473)(87, 471)(88, 476)(89, 382)(90, 477)(91, 425)(92, 384)(93, 480)(94, 460)(95, 483)(96, 387)(97, 458)(98, 432)(99, 388)(100, 435)(101, 465)(102, 443)(103, 391)(104, 439)(105, 392)(106, 441)(107, 393)(108, 394)(109, 444)(110, 487)(111, 466)(112, 489)(113, 398)(114, 494)(115, 496)(116, 497)(117, 486)(118, 429)(119, 422)(120, 472)(121, 448)(122, 408)(123, 423)(124, 481)(125, 501)(126, 426)(127, 491)(128, 446)(129, 414)(130, 492)(131, 417)(132, 467)(133, 418)(134, 469)(135, 459)(136, 421)(137, 455)(138, 461)(139, 424)(140, 475)(141, 462)(142, 500)(143, 452)(144, 454)(145, 430)(146, 431)(147, 482)(148, 503)(149, 478)(150, 498)(151, 464)(152, 493)(153, 457)(154, 450)(155, 502)(156, 447)(157, 499)(158, 490)(159, 451)(160, 495)(161, 479)(162, 453)(163, 488)(164, 485)(165, 474)(166, 463)(167, 504)(168, 484)(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, 14, 2, 14, 2, 14 ), ( 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.2031
Graph:: bipartite
	v = 98 e = 336 f = 192
	degree seq :: [ 6^56, 8^42 ]

E24.2026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^7, Y1^-2 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2, (Y2^3 * Y1^-1 * Y2^-2 * Y1^-1)^2 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 19, 187, 8, 176)(5, 173, 11, 179, 25, 193, 13, 181)(7, 175, 17, 185, 33, 201, 16, 184)(10, 178, 23, 191, 42, 210, 22, 190)(12, 180, 15, 183, 31, 199, 21, 189)(14, 182, 28, 196, 51, 219, 29, 197)(18, 186, 36, 204, 61, 229, 35, 203)(20, 188, 38, 206, 65, 233, 39, 207)(24, 192, 45, 213, 74, 242, 44, 212)(26, 194, 47, 215, 76, 244, 46, 214)(27, 195, 41, 209, 69, 237, 49, 217)(30, 198, 53, 221, 85, 253, 54, 222)(32, 200, 56, 224, 87, 255, 55, 223)(34, 202, 58, 226, 91, 259, 59, 227)(37, 205, 64, 232, 97, 265, 63, 231)(40, 208, 67, 235, 102, 270, 68, 236)(43, 211, 71, 239, 106, 274, 72, 240)(48, 216, 79, 247, 115, 283, 78, 246)(50, 218, 80, 248, 117, 285, 81, 249)(52, 220, 83, 251, 119, 287, 82, 250)(57, 225, 90, 258, 127, 295, 89, 257)(60, 228, 93, 261, 131, 299, 94, 262)(62, 230, 95, 263, 133, 301, 96, 264)(66, 234, 100, 268, 137, 305, 99, 267)(70, 238, 105, 273, 142, 310, 104, 272)(73, 241, 108, 276, 147, 315, 109, 277)(75, 243, 110, 278, 123, 291, 86, 254)(77, 245, 112, 280, 150, 318, 113, 281)(84, 252, 122, 290, 160, 328, 121, 289)(88, 256, 125, 293, 162, 330, 126, 294)(92, 260, 130, 298, 164, 332, 129, 297)(98, 266, 135, 303, 141, 309, 103, 271)(101, 269, 140, 308, 159, 327, 139, 307)(107, 275, 145, 313, 165, 333, 144, 312)(111, 279, 124, 292, 156, 324, 136, 304)(114, 282, 152, 320, 146, 314, 153, 321)(116, 284, 154, 322, 155, 323, 118, 286)(120, 288, 157, 325, 163, 331, 158, 326)(128, 296, 161, 329, 149, 317, 132, 300)(134, 302, 148, 316, 143, 311, 166, 334)(138, 306, 167, 335, 151, 319, 168, 336)(337, 505, 339, 507, 346, 514, 360, 528, 366, 534, 350, 518, 341, 509)(338, 506, 343, 511, 354, 522, 373, 541, 376, 544, 356, 524, 344, 512)(340, 508, 347, 515, 362, 530, 384, 552, 386, 554, 363, 531, 348, 516)(342, 510, 351, 519, 368, 536, 393, 561, 396, 564, 370, 538, 352, 520)(345, 513, 357, 525, 377, 545, 406, 574, 409, 577, 379, 547, 358, 526)(349, 517, 364, 532, 388, 556, 420, 588, 398, 566, 371, 539, 353, 521)(355, 523, 374, 542, 402, 570, 437, 605, 424, 592, 391, 559, 367, 535)(359, 527, 375, 543, 403, 571, 439, 607, 447, 615, 411, 579, 380, 548)(361, 529, 369, 537, 394, 562, 428, 596, 450, 618, 413, 581, 382, 550)(365, 533, 389, 557, 422, 590, 460, 628, 452, 620, 414, 582, 383, 551)(372, 540, 395, 563, 429, 597, 468, 636, 472, 640, 434, 602, 399, 567)(378, 546, 407, 575, 443, 611, 482, 650, 474, 642, 435, 603, 401, 569)(381, 549, 408, 576, 444, 612, 484, 652, 457, 625, 419, 587, 390, 558)(385, 553, 416, 584, 454, 622, 492, 660, 464, 632, 425, 593, 392, 560)(387, 555, 412, 580, 448, 616, 487, 655, 495, 663, 456, 624, 418, 586)(397, 565, 431, 599, 470, 638, 483, 651, 501, 669, 465, 633, 427, 595)(400, 568, 432, 600, 458, 626, 494, 662, 475, 643, 436, 604, 404, 572)(405, 573, 423, 591, 461, 629, 499, 667, 496, 664, 479, 647, 440, 608)(410, 578, 446, 614, 485, 653, 467, 635, 500, 668, 480, 648, 442, 610)(415, 583, 449, 617, 488, 656, 481, 649, 445, 613, 441, 609, 417, 585)(421, 589, 455, 623, 493, 661, 498, 666, 463, 631, 497, 665, 459, 627)(426, 594, 462, 630, 476, 644, 504, 672, 489, 657, 466, 634, 430, 598)(433, 601, 471, 639, 491, 659, 453, 621, 478, 646, 502, 670, 469, 637)(438, 606, 473, 641, 503, 671, 486, 654, 451, 619, 490, 658, 477, 645)
	L = (1, 339)(2, 343)(3, 346)(4, 347)(5, 337)(6, 351)(7, 354)(8, 338)(9, 357)(10, 360)(11, 362)(12, 340)(13, 364)(14, 341)(15, 368)(16, 342)(17, 349)(18, 373)(19, 374)(20, 344)(21, 377)(22, 345)(23, 375)(24, 366)(25, 369)(26, 384)(27, 348)(28, 388)(29, 389)(30, 350)(31, 355)(32, 393)(33, 394)(34, 352)(35, 353)(36, 395)(37, 376)(38, 402)(39, 403)(40, 356)(41, 406)(42, 407)(43, 358)(44, 359)(45, 408)(46, 361)(47, 365)(48, 386)(49, 416)(50, 363)(51, 412)(52, 420)(53, 422)(54, 381)(55, 367)(56, 385)(57, 396)(58, 428)(59, 429)(60, 370)(61, 431)(62, 371)(63, 372)(64, 432)(65, 378)(66, 437)(67, 439)(68, 400)(69, 423)(70, 409)(71, 443)(72, 444)(73, 379)(74, 446)(75, 380)(76, 448)(77, 382)(78, 383)(79, 449)(80, 454)(81, 415)(82, 387)(83, 390)(84, 398)(85, 455)(86, 460)(87, 461)(88, 391)(89, 392)(90, 462)(91, 397)(92, 450)(93, 468)(94, 426)(95, 470)(96, 458)(97, 471)(98, 399)(99, 401)(100, 404)(101, 424)(102, 473)(103, 447)(104, 405)(105, 417)(106, 410)(107, 482)(108, 484)(109, 441)(110, 485)(111, 411)(112, 487)(113, 488)(114, 413)(115, 490)(116, 414)(117, 478)(118, 492)(119, 493)(120, 418)(121, 419)(122, 494)(123, 421)(124, 452)(125, 499)(126, 476)(127, 497)(128, 425)(129, 427)(130, 430)(131, 500)(132, 472)(133, 433)(134, 483)(135, 491)(136, 434)(137, 503)(138, 435)(139, 436)(140, 504)(141, 438)(142, 502)(143, 440)(144, 442)(145, 445)(146, 474)(147, 501)(148, 457)(149, 467)(150, 451)(151, 495)(152, 481)(153, 466)(154, 477)(155, 453)(156, 464)(157, 498)(158, 475)(159, 456)(160, 479)(161, 459)(162, 463)(163, 496)(164, 480)(165, 465)(166, 469)(167, 486)(168, 489)(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, 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 E24.2029
Graph:: bipartite
	v = 66 e = 336 f = 224
	degree seq :: [ 8^42, 14^24 ]

E24.2027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, (Y2^-2 * Y1)^2, Y2^7, Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1, (Y2 * Y1^-1 * Y2^-2 * Y1^-1)^2 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 25, 193, 11, 179)(5, 173, 14, 182, 37, 205, 15, 183)(7, 175, 19, 187, 48, 216, 21, 189)(8, 176, 22, 190, 54, 222, 23, 191)(10, 178, 28, 196, 57, 225, 24, 192)(12, 180, 32, 200, 73, 241, 34, 202)(13, 181, 35, 203, 62, 230, 26, 194)(16, 184, 33, 201, 75, 243, 40, 208)(17, 185, 42, 210, 83, 251, 44, 212)(18, 186, 45, 213, 59, 227, 46, 214)(20, 188, 50, 218, 97, 265, 47, 215)(27, 195, 63, 231, 121, 289, 64, 232)(29, 197, 68, 236, 124, 292, 65, 233)(30, 198, 69, 237, 128, 296, 70, 238)(31, 199, 71, 239, 79, 247, 66, 234)(36, 204, 43, 211, 92, 260, 80, 248)(38, 206, 84, 252, 53, 221, 86, 254)(39, 207, 87, 255, 148, 316, 89, 257)(41, 209, 88, 256, 150, 318, 91, 259)(49, 217, 100, 268, 118, 286, 61, 229)(51, 219, 103, 271, 161, 329, 101, 269)(52, 220, 104, 272, 163, 331, 105, 273)(55, 223, 108, 276, 95, 263, 110, 278)(56, 224, 74, 242, 134, 302, 112, 280)(58, 226, 111, 279, 132, 300, 114, 282)(60, 228, 116, 284, 113, 281, 117, 285)(67, 235, 126, 294, 107, 275, 127, 295)(72, 240, 115, 283, 162, 330, 102, 270)(76, 244, 138, 306, 147, 315, 135, 303)(77, 245, 139, 307, 160, 328, 140, 308)(78, 246, 141, 309, 96, 264, 136, 304)(81, 249, 119, 287, 164, 332, 144, 312)(82, 250, 131, 299, 137, 305, 145, 313)(85, 253, 143, 311, 168, 336, 146, 314)(90, 258, 152, 320, 133, 301, 109, 277)(93, 261, 154, 322, 130, 298, 149, 317)(94, 262, 155, 323, 122, 290, 156, 324)(98, 266, 123, 291, 129, 297, 158, 326)(99, 267, 142, 310, 157, 325, 159, 327)(106, 274, 120, 288, 166, 334, 153, 321)(125, 293, 167, 335, 165, 333, 151, 319)(337, 505, 339, 507, 346, 514, 365, 533, 377, 545, 352, 520, 341, 509)(338, 506, 343, 511, 356, 524, 387, 555, 394, 562, 360, 528, 344, 512)(340, 508, 348, 516, 369, 537, 412, 580, 417, 585, 372, 540, 349, 517)(342, 510, 353, 521, 379, 547, 429, 597, 434, 602, 383, 551, 354, 522)(345, 513, 362, 530, 397, 565, 455, 623, 461, 629, 401, 569, 363, 531)(347, 515, 366, 534, 350, 518, 374, 542, 421, 589, 408, 576, 367, 535)(351, 519, 375, 543, 424, 592, 487, 655, 437, 605, 385, 553, 355, 523)(357, 525, 388, 556, 358, 526, 391, 559, 445, 613, 442, 610, 389, 557)(359, 527, 392, 560, 447, 615, 501, 669, 485, 653, 423, 591, 378, 546)(361, 529, 395, 563, 451, 619, 470, 638, 499, 667, 454, 622, 396, 564)(364, 532, 402, 570, 416, 584, 479, 647, 474, 642, 427, 595, 403, 571)(368, 536, 382, 550, 400, 568, 459, 627, 503, 671, 471, 639, 410, 578)(370, 538, 413, 581, 371, 539, 415, 583, 478, 646, 462, 630, 414, 582)(373, 541, 418, 586, 436, 604, 496, 664, 448, 616, 482, 650, 419, 587)(376, 544, 426, 594, 404, 572, 450, 618, 438, 606, 386, 554, 420, 588)(380, 548, 430, 598, 381, 549, 432, 600, 452, 620, 481, 649, 431, 599)(384, 552, 398, 566, 456, 624, 399, 567, 458, 626, 425, 593, 435, 603)(390, 558, 443, 611, 484, 652, 464, 632, 457, 625, 469, 637, 409, 577)(393, 561, 449, 617, 439, 607, 494, 662, 489, 657, 428, 596, 444, 612)(405, 573, 453, 621, 463, 631, 441, 609, 483, 651, 422, 590, 465, 633)(406, 574, 466, 634, 407, 575, 468, 636, 475, 643, 488, 656, 467, 635)(411, 579, 472, 640, 433, 601, 493, 661, 490, 658, 480, 648, 473, 641)(440, 608, 495, 663, 498, 666, 492, 660, 460, 628, 446, 614, 500, 668)(476, 644, 497, 665, 477, 645, 486, 654, 491, 659, 504, 672, 502, 670)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 353)(7, 356)(8, 338)(9, 362)(10, 365)(11, 366)(12, 369)(13, 340)(14, 374)(15, 375)(16, 341)(17, 379)(18, 342)(19, 351)(20, 387)(21, 388)(22, 391)(23, 392)(24, 344)(25, 395)(26, 397)(27, 345)(28, 402)(29, 377)(30, 350)(31, 347)(32, 382)(33, 412)(34, 413)(35, 415)(36, 349)(37, 418)(38, 421)(39, 424)(40, 426)(41, 352)(42, 359)(43, 429)(44, 430)(45, 432)(46, 400)(47, 354)(48, 398)(49, 355)(50, 420)(51, 394)(52, 358)(53, 357)(54, 443)(55, 445)(56, 447)(57, 449)(58, 360)(59, 451)(60, 361)(61, 455)(62, 456)(63, 458)(64, 459)(65, 363)(66, 416)(67, 364)(68, 450)(69, 453)(70, 466)(71, 468)(72, 367)(73, 390)(74, 368)(75, 472)(76, 417)(77, 371)(78, 370)(79, 478)(80, 479)(81, 372)(82, 436)(83, 373)(84, 376)(85, 408)(86, 465)(87, 378)(88, 487)(89, 435)(90, 404)(91, 403)(92, 444)(93, 434)(94, 381)(95, 380)(96, 452)(97, 493)(98, 383)(99, 384)(100, 496)(101, 385)(102, 386)(103, 494)(104, 495)(105, 483)(106, 389)(107, 484)(108, 393)(109, 442)(110, 500)(111, 501)(112, 482)(113, 439)(114, 438)(115, 470)(116, 481)(117, 463)(118, 396)(119, 461)(120, 399)(121, 469)(122, 425)(123, 503)(124, 446)(125, 401)(126, 414)(127, 441)(128, 457)(129, 405)(130, 407)(131, 406)(132, 475)(133, 409)(134, 499)(135, 410)(136, 433)(137, 411)(138, 427)(139, 488)(140, 497)(141, 486)(142, 462)(143, 474)(144, 473)(145, 431)(146, 419)(147, 422)(148, 464)(149, 423)(150, 491)(151, 437)(152, 467)(153, 428)(154, 480)(155, 504)(156, 460)(157, 490)(158, 489)(159, 498)(160, 448)(161, 477)(162, 492)(163, 454)(164, 440)(165, 485)(166, 476)(167, 471)(168, 502)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 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 E24.2028
Graph:: bipartite
	v = 66 e = 336 f = 224
	degree seq :: [ 8^42, 14^24 ]

E24.2028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^7, (Y3 * Y2^-1)^4, (Y3 * Y2^-1 * Y3^2)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3)^2, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y3^-1, Y2^-1)^3, (Y3^-1 * Y1^-1)^7 ]
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, 340, 508)(339, 507, 344, 512, 346, 514)(341, 509, 349, 517, 350, 518)(342, 510, 352, 520, 354, 522)(343, 511, 355, 523, 356, 524)(345, 513, 360, 528, 362, 530)(347, 515, 365, 533, 367, 535)(348, 516, 368, 536, 358, 526)(351, 519, 373, 541, 374, 542)(353, 521, 377, 545, 379, 547)(357, 525, 385, 553, 386, 554)(359, 527, 389, 557, 390, 558)(361, 529, 394, 562, 387, 555)(363, 531, 397, 565, 383, 551)(364, 532, 399, 567, 392, 560)(366, 534, 402, 570, 404, 572)(369, 537, 409, 577, 410, 578)(370, 538, 412, 580, 414, 582)(371, 539, 405, 573, 415, 583)(372, 540, 416, 584, 418, 586)(375, 543, 403, 571, 421, 589)(376, 544, 422, 590, 423, 591)(378, 546, 427, 595, 411, 579)(380, 548, 430, 598, 408, 576)(381, 549, 432, 600, 425, 593)(382, 550, 434, 602, 436, 604)(384, 552, 437, 605, 439, 607)(388, 556, 442, 610, 444, 612)(391, 559, 448, 616, 449, 617)(393, 561, 441, 609, 451, 619)(395, 563, 452, 620, 446, 614)(396, 564, 453, 621, 424, 592)(398, 566, 454, 622, 455, 623)(400, 568, 435, 603, 458, 626)(401, 569, 459, 627, 460, 628)(406, 574, 466, 634, 462, 630)(407, 575, 468, 636, 457, 625)(413, 581, 472, 640, 467, 635)(417, 585, 475, 643, 440, 608)(419, 587, 443, 611, 477, 645)(420, 588, 478, 646, 463, 631)(426, 594, 471, 639, 483, 651)(428, 596, 484, 652, 480, 648)(429, 597, 485, 653, 461, 629)(431, 599, 486, 654, 487, 655)(433, 601, 469, 637, 489, 657)(438, 606, 492, 660, 470, 638)(445, 613, 481, 649, 497, 665)(447, 615, 488, 656, 498, 666)(450, 618, 499, 667, 482, 650)(456, 624, 479, 647, 500, 668)(464, 632, 502, 670, 503, 671)(465, 633, 495, 663, 504, 672)(473, 641, 491, 659, 496, 664)(474, 642, 493, 661, 501, 669)(476, 644, 490, 658, 494, 662)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 353)(7, 338)(8, 358)(9, 361)(10, 363)(11, 366)(12, 340)(13, 370)(14, 372)(15, 341)(16, 350)(17, 378)(18, 380)(19, 382)(20, 384)(21, 343)(22, 388)(23, 344)(24, 392)(25, 375)(26, 395)(27, 398)(28, 346)(29, 356)(30, 403)(31, 405)(32, 407)(33, 348)(34, 413)(35, 349)(36, 417)(37, 419)(38, 420)(39, 351)(40, 352)(41, 425)(42, 387)(43, 428)(44, 431)(45, 354)(46, 435)(47, 355)(48, 438)(49, 440)(50, 441)(51, 357)(52, 443)(53, 445)(54, 447)(55, 359)(56, 450)(57, 360)(58, 424)(59, 371)(60, 362)(61, 390)(62, 373)(63, 456)(64, 364)(65, 365)(66, 462)(67, 411)(68, 464)(69, 465)(70, 367)(71, 469)(72, 368)(73, 470)(74, 471)(75, 369)(76, 374)(77, 396)(78, 432)(79, 460)(80, 415)(81, 394)(82, 454)(83, 400)(84, 393)(85, 391)(86, 479)(87, 481)(88, 376)(89, 482)(90, 377)(91, 461)(92, 383)(93, 379)(94, 423)(95, 385)(96, 488)(97, 381)(98, 386)(99, 429)(100, 466)(101, 397)(102, 427)(103, 486)(104, 433)(105, 426)(106, 430)(107, 421)(108, 495)(109, 472)(110, 389)(111, 485)(112, 404)(113, 475)(114, 412)(115, 487)(116, 451)(117, 492)(118, 480)(119, 501)(120, 502)(121, 399)(122, 476)(123, 498)(124, 500)(125, 401)(126, 499)(127, 402)(128, 408)(129, 409)(130, 497)(131, 406)(132, 410)(133, 448)(134, 467)(135, 463)(136, 496)(137, 414)(138, 416)(139, 494)(140, 418)(141, 491)(142, 455)(143, 458)(144, 422)(145, 449)(146, 434)(147, 504)(148, 483)(149, 477)(150, 503)(151, 473)(152, 452)(153, 493)(154, 436)(155, 437)(156, 474)(157, 439)(158, 442)(159, 446)(160, 444)(161, 484)(162, 489)(163, 468)(164, 453)(165, 457)(166, 478)(167, 459)(168, 490)(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, 14 ), ( 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.2027
Graph:: simple bipartite
	v = 224 e = 336 f = 66
	degree seq :: [ 2^168, 6^56 ]

E24.2029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, Y3^7, (Y2 * Y3^-1 * Y2^-1 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3^-5 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-3 * Y2^-1 * Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^7 ]
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, 340, 508)(339, 507, 344, 512, 346, 514)(341, 509, 349, 517, 350, 518)(342, 510, 352, 520, 354, 522)(343, 511, 355, 523, 356, 524)(345, 513, 360, 528, 357, 525)(347, 515, 364, 532, 366, 534)(348, 516, 367, 535, 368, 536)(351, 519, 365, 533, 373, 541)(353, 521, 377, 545, 369, 537)(358, 526, 385, 553, 383, 551)(359, 527, 382, 550, 387, 555)(361, 529, 391, 559, 388, 556)(362, 530, 392, 560, 379, 547)(363, 531, 381, 549, 393, 561)(370, 538, 403, 571, 398, 566)(371, 539, 405, 573, 396, 564)(372, 540, 395, 563, 407, 575)(374, 542, 406, 574, 411, 579)(375, 543, 412, 580, 401, 569)(376, 544, 400, 568, 414, 582)(378, 546, 418, 586, 415, 583)(380, 548, 399, 567, 419, 587)(384, 552, 422, 590, 424, 592)(386, 554, 427, 595, 394, 562)(389, 557, 432, 600, 430, 598)(390, 558, 429, 597, 433, 601)(397, 565, 439, 607, 438, 606)(402, 570, 442, 610, 444, 612)(404, 572, 447, 615, 408, 576)(409, 577, 454, 622, 449, 617)(410, 578, 448, 616, 455, 623)(413, 581, 459, 627, 420, 588)(416, 584, 464, 632, 462, 630)(417, 585, 461, 629, 465, 633)(421, 589, 469, 637, 423, 591)(425, 593, 473, 641, 436, 604)(426, 594, 435, 603, 475, 643)(428, 596, 478, 646, 476, 644)(431, 599, 479, 647, 481, 649)(434, 602, 484, 652, 483, 651)(437, 605, 485, 653, 440, 608)(441, 609, 489, 657, 443, 611)(445, 613, 491, 659, 452, 620)(446, 614, 451, 619, 492, 660)(450, 618, 496, 664, 495, 663)(453, 621, 497, 665, 466, 634)(456, 624, 498, 666, 460, 628)(457, 625, 499, 667, 468, 636)(458, 626, 467, 635, 500, 668)(463, 631, 501, 669, 493, 661)(470, 638, 504, 672, 480, 648)(471, 639, 474, 642, 488, 656)(472, 640, 482, 650, 486, 654)(477, 645, 502, 670, 490, 658)(487, 655, 494, 662, 503, 671)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 353)(7, 338)(8, 358)(9, 361)(10, 362)(11, 365)(12, 340)(13, 370)(14, 371)(15, 341)(16, 375)(17, 378)(18, 379)(19, 381)(20, 382)(21, 343)(22, 386)(23, 344)(24, 389)(25, 374)(26, 349)(27, 346)(28, 395)(29, 397)(30, 392)(31, 399)(32, 400)(33, 348)(34, 404)(35, 406)(36, 350)(37, 409)(38, 351)(39, 413)(40, 352)(41, 416)(42, 384)(43, 355)(44, 354)(45, 421)(46, 422)(47, 356)(48, 357)(49, 425)(50, 428)(51, 429)(52, 359)(53, 418)(54, 360)(55, 434)(56, 367)(57, 435)(58, 363)(59, 437)(60, 364)(61, 402)(62, 366)(63, 441)(64, 442)(65, 368)(66, 369)(67, 445)(68, 394)(69, 448)(70, 450)(71, 451)(72, 372)(73, 391)(74, 373)(75, 390)(76, 457)(77, 460)(78, 461)(79, 376)(80, 439)(81, 377)(82, 466)(83, 467)(84, 380)(85, 420)(86, 470)(87, 383)(88, 417)(89, 474)(90, 385)(91, 446)(92, 431)(93, 479)(94, 387)(95, 388)(96, 482)(97, 454)(98, 478)(99, 447)(100, 393)(101, 486)(102, 396)(103, 488)(104, 398)(105, 440)(106, 490)(107, 401)(108, 410)(109, 489)(110, 403)(111, 493)(112, 494)(113, 405)(114, 453)(115, 497)(116, 407)(117, 408)(118, 498)(119, 464)(120, 411)(121, 483)(122, 412)(123, 436)(124, 463)(125, 501)(126, 414)(127, 415)(128, 476)(129, 432)(130, 456)(131, 469)(132, 419)(133, 503)(134, 471)(135, 423)(136, 424)(137, 500)(138, 455)(139, 502)(140, 426)(141, 427)(142, 444)(143, 499)(144, 430)(145, 477)(146, 452)(147, 433)(148, 443)(149, 468)(150, 487)(151, 438)(152, 472)(153, 481)(154, 484)(155, 480)(156, 475)(157, 496)(158, 473)(159, 449)(160, 459)(161, 465)(162, 458)(163, 491)(164, 495)(165, 492)(166, 462)(167, 504)(168, 485)(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, 14 ), ( 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.2026
Graph:: simple bipartite
	v = 224 e = 336 f = 66
	degree seq :: [ 2^168, 6^56 ]

E24.2030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^3, Y1^7, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3, Y1^-2 * Y3^-1 * Y1^5 * Y3^-1, Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1^-1 * Y3 * Y1^-3)^2 ]
Map:: polytopal
	R = (1, 169, 2, 170, 6, 174, 16, 184, 32, 200, 12, 180, 4, 172)(3, 171, 9, 177, 23, 191, 54, 222, 61, 229, 27, 195, 10, 178)(5, 173, 14, 182, 34, 202, 72, 240, 41, 209, 17, 185, 15, 183)(7, 175, 19, 187, 13, 181, 33, 201, 70, 238, 47, 215, 20, 188)(8, 176, 21, 189, 49, 217, 89, 257, 76, 244, 39, 207, 22, 190)(11, 179, 29, 197, 63, 231, 106, 274, 112, 280, 66, 234, 30, 198)(18, 186, 42, 210, 80, 248, 128, 296, 115, 283, 69, 237, 43, 211)(24, 192, 45, 213, 28, 196, 62, 230, 104, 272, 95, 263, 55, 223)(25, 193, 56, 224, 96, 264, 143, 311, 140, 308, 93, 261, 57, 225)(26, 194, 58, 226, 97, 265, 144, 312, 125, 293, 100, 268, 59, 227)(31, 199, 67, 235, 40, 208, 77, 245, 123, 291, 103, 271, 68, 236)(35, 203, 44, 212, 38, 206, 48, 216, 88, 256, 119, 287, 73, 241)(36, 204, 74, 242, 120, 288, 161, 329, 162, 330, 118, 286, 75, 243)(37, 205, 53, 221, 79, 247, 127, 295, 138, 306, 90, 258, 50, 218)(46, 214, 85, 253, 111, 279, 159, 327, 154, 322, 134, 302, 86, 254)(51, 219, 91, 259, 139, 307, 114, 282, 150, 318, 137, 305, 92, 260)(52, 220, 84, 252, 122, 290, 163, 331, 158, 326, 129, 297, 81, 249)(60, 228, 101, 269, 94, 262, 141, 309, 126, 294, 78, 246, 102, 270)(64, 232, 107, 275, 155, 323, 133, 301, 166, 334, 153, 321, 108, 276)(65, 233, 109, 277, 156, 324, 131, 299, 82, 250, 130, 298, 110, 278)(71, 239, 116, 284, 149, 317, 121, 289, 135, 303, 87, 255, 117, 285)(83, 251, 113, 281, 160, 328, 148, 316, 99, 267, 147, 315, 124, 292)(98, 266, 145, 313, 168, 336, 157, 325, 132, 300, 165, 333, 146, 314)(105, 273, 151, 319, 136, 304, 167, 335, 164, 332, 142, 310, 152, 320)(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, 341)(4, 347)(5, 337)(6, 353)(7, 344)(8, 338)(9, 360)(10, 362)(11, 349)(12, 367)(13, 340)(14, 371)(15, 373)(16, 375)(17, 354)(18, 342)(19, 380)(20, 382)(21, 386)(22, 388)(23, 348)(24, 361)(25, 345)(26, 364)(27, 396)(28, 346)(29, 393)(30, 401)(31, 359)(32, 405)(33, 391)(34, 363)(35, 372)(36, 350)(37, 374)(38, 351)(39, 376)(40, 352)(41, 414)(42, 417)(43, 419)(44, 381)(45, 355)(46, 384)(47, 423)(48, 356)(49, 383)(50, 387)(51, 357)(52, 389)(53, 358)(54, 429)(55, 407)(56, 366)(57, 400)(58, 411)(59, 435)(60, 370)(61, 439)(62, 409)(63, 368)(64, 365)(65, 392)(66, 447)(67, 444)(68, 450)(69, 399)(70, 402)(71, 369)(72, 454)(73, 441)(74, 395)(75, 434)(76, 457)(77, 460)(78, 415)(79, 377)(80, 408)(81, 418)(82, 378)(83, 420)(84, 379)(85, 428)(86, 469)(87, 385)(88, 426)(89, 473)(90, 472)(91, 422)(92, 468)(93, 430)(94, 390)(95, 478)(96, 431)(97, 397)(98, 394)(99, 410)(100, 485)(101, 482)(102, 467)(103, 433)(104, 436)(105, 398)(106, 489)(107, 404)(108, 449)(109, 453)(110, 494)(111, 406)(112, 464)(113, 403)(114, 443)(115, 497)(116, 446)(117, 493)(118, 416)(119, 470)(120, 455)(121, 458)(122, 412)(123, 425)(124, 461)(125, 413)(126, 479)(127, 465)(128, 492)(129, 500)(130, 462)(131, 481)(132, 421)(133, 427)(134, 456)(135, 480)(136, 424)(137, 459)(138, 477)(139, 474)(140, 503)(141, 475)(142, 432)(143, 466)(144, 501)(145, 438)(146, 486)(147, 488)(148, 502)(149, 440)(150, 437)(151, 484)(152, 499)(153, 490)(154, 442)(155, 476)(156, 448)(157, 445)(158, 452)(159, 504)(160, 451)(161, 496)(162, 495)(163, 483)(164, 463)(165, 471)(166, 487)(167, 491)(168, 498)(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) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.2024
Graph:: simple bipartite
	v = 192 e = 336 f = 98
	degree seq :: [ 2^168, 14^24 ]

E24.2031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, (Y3 * Y2^-1)^3, Y1^7, (Y1 * Y3 * Y1^2)^2, (Y3^-1 * Y1^-1)^4, Y1^-3 * Y3 * Y1^3 * Y3 * Y1^-1, Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 169, 2, 170, 6, 174, 16, 184, 31, 199, 12, 180, 4, 172)(3, 171, 9, 177, 23, 191, 55, 223, 62, 230, 26, 194, 10, 178)(5, 173, 14, 182, 35, 203, 77, 245, 40, 208, 38, 206, 15, 183)(7, 175, 19, 187, 46, 214, 32, 200, 73, 241, 49, 217, 20, 188)(8, 176, 21, 189, 51, 219, 101, 269, 72, 240, 53, 221, 22, 190)(11, 179, 28, 196, 66, 234, 41, 209, 86, 254, 69, 237, 29, 197)(13, 181, 33, 201, 74, 242, 43, 211, 17, 185, 42, 210, 34, 202)(18, 186, 44, 212, 90, 258, 71, 239, 30, 198, 70, 238, 45, 213)(24, 192, 58, 226, 111, 279, 63, 231, 120, 288, 112, 280, 59, 227)(25, 193, 37, 205, 82, 250, 139, 307, 119, 287, 115, 283, 60, 228)(27, 195, 64, 232, 121, 289, 106, 274, 56, 224, 108, 276, 65, 233)(36, 204, 80, 248, 137, 305, 84, 252, 123, 291, 138, 306, 81, 249)(39, 207, 85, 253, 98, 266, 134, 302, 78, 246, 95, 263, 47, 215)(48, 216, 52, 220, 104, 272, 158, 326, 130, 298, 153, 321, 96, 264)(50, 218, 99, 267, 155, 323, 129, 297, 93, 261, 150, 318, 100, 268)(54, 222, 107, 275, 131, 299, 156, 324, 102, 270, 143, 311, 87, 255)(57, 225, 109, 277, 148, 316, 118, 286, 61, 229, 117, 285, 110, 278)(67, 235, 94, 262, 151, 319, 128, 296, 154, 322, 97, 265, 125, 293)(68, 236, 76, 244, 114, 282, 146, 314, 89, 257, 145, 313, 126, 294)(75, 243, 132, 300, 144, 312, 88, 256, 91, 259, 149, 317, 133, 301)(79, 247, 135, 303, 147, 315, 141, 309, 83, 251, 92, 260, 136, 304)(103, 271, 122, 290, 127, 295, 160, 328, 105, 273, 124, 292, 157, 325)(113, 281, 161, 329, 152, 320, 164, 332, 163, 331, 166, 334, 142, 310)(116, 284, 159, 327, 165, 333, 167, 335, 140, 308, 168, 336, 162, 330)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 343)(3, 341)(4, 347)(5, 337)(6, 353)(7, 344)(8, 338)(9, 360)(10, 357)(11, 349)(12, 366)(13, 340)(14, 372)(15, 373)(16, 376)(17, 354)(18, 342)(19, 383)(20, 380)(21, 363)(22, 388)(23, 392)(24, 361)(25, 345)(26, 397)(27, 346)(28, 403)(29, 350)(30, 368)(31, 408)(32, 348)(33, 411)(34, 412)(35, 414)(36, 365)(37, 375)(38, 419)(39, 351)(40, 377)(41, 352)(42, 423)(43, 422)(44, 386)(45, 427)(46, 429)(47, 384)(48, 355)(49, 433)(50, 356)(51, 438)(52, 390)(53, 441)(54, 358)(55, 367)(56, 393)(57, 359)(58, 370)(59, 445)(60, 450)(61, 399)(62, 455)(63, 362)(64, 436)(65, 458)(66, 459)(67, 404)(68, 364)(69, 463)(70, 446)(71, 369)(72, 391)(73, 466)(74, 448)(75, 407)(76, 394)(77, 398)(78, 415)(79, 371)(80, 401)(81, 471)(82, 476)(83, 420)(84, 374)(85, 478)(86, 425)(87, 424)(88, 378)(89, 379)(90, 483)(91, 428)(92, 381)(93, 430)(94, 382)(95, 487)(96, 418)(97, 434)(98, 385)(99, 482)(100, 454)(101, 409)(102, 439)(103, 387)(104, 495)(105, 442)(106, 389)(107, 497)(108, 498)(109, 449)(110, 465)(111, 499)(112, 467)(113, 395)(114, 452)(115, 494)(116, 396)(117, 472)(118, 400)(119, 413)(120, 481)(121, 474)(122, 416)(123, 460)(124, 402)(125, 493)(126, 486)(127, 464)(128, 405)(129, 406)(130, 437)(131, 410)(132, 417)(133, 492)(134, 451)(135, 468)(136, 500)(137, 485)(138, 501)(139, 456)(140, 432)(141, 421)(142, 477)(143, 447)(144, 440)(145, 475)(146, 490)(147, 484)(148, 426)(149, 504)(150, 503)(151, 488)(152, 431)(153, 469)(154, 435)(155, 444)(156, 489)(157, 502)(158, 470)(159, 480)(160, 443)(161, 496)(162, 491)(163, 479)(164, 453)(165, 457)(166, 461)(167, 462)(168, 473)(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) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E24.2025
Graph:: simple bipartite
	v = 192 e = 336 f = 98
	degree seq :: [ 2^168, 14^24 ]

E24.2032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^3, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2^7, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2 * Y1 * Y2^3 * Y3^-1 * Y2^2, (Y3 * Y2^-1)^4, Y2^-2 * Y3 * Y2^4 * Y3 * Y2^-1, Y2^-4 * Y3^-1 * Y2^3 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 10, 178)(5, 173, 13, 181, 14, 182)(6, 174, 16, 184, 18, 186)(7, 175, 19, 187, 20, 188)(9, 177, 24, 192, 26, 194)(11, 179, 28, 196, 30, 198)(12, 180, 31, 199, 32, 200)(15, 183, 37, 205, 38, 206)(17, 185, 42, 210, 44, 212)(21, 189, 49, 217, 50, 218)(22, 190, 52, 220, 54, 222)(23, 191, 55, 223, 56, 224)(25, 193, 60, 228, 61, 229)(27, 195, 63, 231, 64, 232)(29, 197, 68, 236, 70, 238)(33, 201, 74, 242, 75, 243)(34, 202, 76, 244, 78, 246)(35, 203, 79, 247, 81, 249)(36, 204, 82, 250, 40, 208)(39, 207, 85, 253, 43, 211)(41, 209, 87, 255, 88, 256)(45, 213, 93, 261, 94, 262)(46, 214, 96, 264, 98, 266)(47, 215, 99, 267, 101, 269)(48, 216, 102, 270, 66, 234)(51, 219, 105, 273, 69, 237)(53, 221, 107, 275, 108, 276)(57, 225, 112, 280, 113, 281)(58, 226, 114, 282, 115, 283)(59, 227, 116, 284, 117, 285)(62, 230, 118, 286, 119, 287)(65, 233, 122, 290, 91, 259)(67, 235, 124, 292, 125, 293)(71, 239, 129, 297, 130, 298)(72, 240, 131, 299, 109, 277)(73, 241, 133, 301, 134, 302)(77, 245, 135, 303, 137, 305)(80, 248, 89, 257, 140, 308)(83, 251, 92, 260, 141, 309)(84, 252, 142, 310, 97, 265)(86, 254, 143, 311, 144, 312)(90, 258, 147, 315, 148, 316)(95, 263, 151, 319, 127, 295)(100, 268, 126, 294, 155, 323)(103, 271, 128, 296, 156, 324)(104, 272, 157, 325, 132, 300)(106, 274, 158, 326, 159, 327)(110, 278, 161, 329, 145, 313)(111, 279, 149, 317, 162, 330)(120, 288, 150, 318, 163, 331)(121, 289, 146, 314, 165, 333)(123, 291, 164, 332, 166, 334)(136, 304, 153, 321, 168, 336)(138, 306, 154, 322, 167, 335)(139, 307, 152, 320, 160, 328)(337, 505, 339, 507, 345, 513, 361, 529, 375, 543, 351, 519, 341, 509)(338, 506, 342, 510, 353, 521, 379, 547, 387, 555, 357, 525, 343, 511)(340, 508, 347, 515, 365, 533, 405, 573, 396, 564, 369, 537, 348, 516)(344, 512, 358, 526, 389, 557, 374, 542, 420, 588, 393, 561, 359, 527)(346, 514, 355, 523, 382, 550, 433, 601, 421, 589, 401, 569, 363, 531)(349, 517, 370, 538, 413, 581, 397, 565, 452, 620, 407, 575, 366, 534)(350, 518, 371, 539, 416, 584, 395, 563, 360, 528, 394, 562, 372, 540)(352, 520, 376, 544, 422, 590, 386, 554, 440, 608, 425, 593, 377, 545)(354, 522, 367, 535, 408, 576, 468, 636, 441, 609, 431, 599, 381, 549)(356, 524, 383, 551, 436, 604, 427, 595, 378, 546, 426, 594, 384, 552)(362, 530, 391, 559, 446, 614, 417, 585, 373, 541, 419, 587, 398, 566)(364, 532, 402, 570, 459, 627, 411, 579, 471, 639, 462, 630, 403, 571)(368, 536, 409, 577, 449, 617, 463, 631, 404, 572, 442, 610, 388, 556)(380, 548, 423, 591, 481, 649, 437, 605, 385, 553, 439, 607, 428, 596)(390, 558, 399, 567, 456, 624, 487, 655, 478, 646, 496, 664, 445, 613)(392, 560, 447, 615, 484, 652, 477, 645, 443, 611, 490, 658, 435, 603)(400, 568, 457, 625, 476, 644, 488, 656, 432, 600, 480, 648, 450, 618)(406, 574, 460, 628, 497, 665, 470, 638, 410, 578, 455, 623, 464, 632)(412, 580, 444, 612, 494, 662, 466, 634, 498, 666, 448, 616, 472, 640)(414, 582, 418, 586, 429, 597, 485, 653, 453, 621, 493, 661, 474, 642)(415, 583, 461, 629, 499, 667, 451, 619, 454, 622, 500, 668, 475, 643)(424, 592, 482, 650, 495, 663, 492, 660, 479, 647, 504, 672, 469, 637)(430, 598, 486, 654, 491, 659, 503, 671, 467, 635, 502, 670, 483, 651)(434, 602, 438, 606, 465, 633, 501, 669, 458, 626, 473, 641, 489, 657)
	L = (1, 340)(2, 337)(3, 346)(4, 338)(5, 350)(6, 354)(7, 356)(8, 339)(9, 362)(10, 344)(11, 366)(12, 368)(13, 341)(14, 349)(15, 374)(16, 342)(17, 380)(18, 352)(19, 343)(20, 355)(21, 386)(22, 390)(23, 392)(24, 345)(25, 397)(26, 360)(27, 400)(28, 347)(29, 406)(30, 364)(31, 348)(32, 367)(33, 411)(34, 414)(35, 417)(36, 376)(37, 351)(38, 373)(39, 379)(40, 418)(41, 424)(42, 353)(43, 421)(44, 378)(45, 430)(46, 434)(47, 437)(48, 402)(49, 357)(50, 385)(51, 405)(52, 358)(53, 444)(54, 388)(55, 359)(56, 391)(57, 449)(58, 451)(59, 453)(60, 361)(61, 396)(62, 455)(63, 363)(64, 399)(65, 427)(66, 438)(67, 461)(68, 365)(69, 441)(70, 404)(71, 466)(72, 445)(73, 470)(74, 369)(75, 410)(76, 370)(77, 473)(78, 412)(79, 371)(80, 476)(81, 415)(82, 372)(83, 477)(84, 433)(85, 375)(86, 480)(87, 377)(88, 423)(89, 416)(90, 484)(91, 458)(92, 419)(93, 381)(94, 429)(95, 463)(96, 382)(97, 478)(98, 432)(99, 383)(100, 491)(101, 435)(102, 384)(103, 492)(104, 468)(105, 387)(106, 495)(107, 389)(108, 443)(109, 467)(110, 481)(111, 498)(112, 393)(113, 448)(114, 394)(115, 450)(116, 395)(117, 452)(118, 398)(119, 454)(120, 499)(121, 501)(122, 401)(123, 502)(124, 403)(125, 460)(126, 436)(127, 487)(128, 439)(129, 407)(130, 465)(131, 408)(132, 493)(133, 409)(134, 469)(135, 413)(136, 504)(137, 471)(138, 503)(139, 496)(140, 425)(141, 428)(142, 420)(143, 422)(144, 479)(145, 497)(146, 457)(147, 426)(148, 483)(149, 447)(150, 456)(151, 431)(152, 475)(153, 472)(154, 474)(155, 462)(156, 464)(157, 440)(158, 442)(159, 494)(160, 488)(161, 446)(162, 485)(163, 486)(164, 459)(165, 482)(166, 500)(167, 490)(168, 489)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.2035
Graph:: bipartite
	v = 80 e = 336 f = 210
	degree seq :: [ 6^56, 14^24 ]

E24.2033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^3, Y3^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^2 * Y3^-1 * Y2, (Y1 * Y2^2)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y3)^2, Y2^7, (Y3 * Y2 * Y3^-1 * Y2)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y2^-2 * Y1^-1 * Y2^5 * Y1^-1, Y2 * Y3 * Y2^3 * Y3 * Y2 * Y1^-1 * Y2^3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 ]
Map::
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 10, 178)(5, 173, 13, 181, 14, 182)(6, 174, 16, 184, 18, 186)(7, 175, 19, 187, 20, 188)(9, 177, 24, 192, 26, 194)(11, 179, 29, 197, 31, 199)(12, 180, 32, 200, 33, 201)(15, 183, 37, 205, 17, 185)(21, 189, 47, 215, 30, 198)(22, 190, 49, 217, 39, 207)(23, 191, 50, 218, 51, 219)(25, 193, 54, 222, 55, 223)(27, 195, 58, 226, 60, 228)(28, 196, 61, 229, 62, 230)(34, 202, 43, 211, 68, 236)(35, 203, 69, 237, 42, 210)(36, 204, 40, 208, 72, 240)(38, 206, 75, 243, 67, 235)(41, 209, 77, 245, 78, 246)(44, 212, 66, 234, 81, 249)(45, 213, 82, 250, 65, 233)(46, 214, 63, 231, 85, 253)(48, 216, 88, 256, 80, 248)(52, 220, 92, 260, 59, 227)(53, 221, 93, 261, 94, 262)(56, 224, 97, 265, 99, 267)(57, 225, 100, 268, 101, 269)(64, 232, 107, 275, 98, 266)(70, 238, 114, 282, 71, 239)(73, 241, 111, 279, 118, 286)(74, 242, 119, 287, 110, 278)(76, 244, 121, 289, 79, 247)(83, 251, 130, 298, 84, 252)(86, 254, 127, 295, 134, 302)(87, 255, 135, 303, 126, 294)(89, 257, 105, 273, 137, 305)(90, 258, 138, 306, 104, 272)(91, 259, 102, 270, 140, 308)(95, 263, 144, 312, 145, 313)(96, 264, 146, 314, 131, 299)(103, 271, 151, 319, 136, 304)(106, 274, 139, 307, 108, 276)(109, 277, 155, 323, 156, 324)(112, 280, 117, 285, 159, 327)(113, 281, 160, 328, 116, 284)(115, 283, 148, 316, 158, 326)(120, 288, 154, 322, 162, 330)(122, 290, 164, 332, 157, 325)(123, 291, 152, 320, 150, 318)(124, 292, 149, 317, 142, 310)(125, 293, 165, 333, 141, 309)(128, 296, 133, 301, 167, 335)(129, 297, 168, 336, 132, 300)(143, 311, 147, 315, 163, 331)(153, 321, 161, 329, 166, 334)(337, 505, 339, 507, 345, 513, 361, 529, 374, 542, 351, 519, 341, 509)(338, 506, 342, 510, 353, 521, 377, 545, 384, 552, 357, 525, 343, 511)(340, 508, 347, 515, 366, 534, 400, 568, 389, 557, 360, 528, 348, 516)(344, 512, 358, 526, 350, 518, 372, 540, 407, 575, 388, 556, 359, 527)(346, 514, 363, 531, 395, 563, 439, 607, 431, 599, 390, 558, 364, 532)(349, 517, 370, 538, 403, 571, 445, 613, 451, 619, 406, 574, 371, 539)(352, 520, 375, 543, 356, 524, 382, 550, 420, 588, 412, 580, 376, 544)(354, 522, 378, 546, 415, 583, 460, 628, 458, 626, 413, 581, 379, 547)(355, 523, 380, 548, 416, 584, 461, 629, 467, 635, 419, 587, 381, 549)(362, 530, 392, 560, 434, 602, 484, 652, 456, 624, 411, 579, 393, 561)(365, 533, 385, 553, 369, 537, 387, 555, 427, 595, 442, 610, 399, 567)(367, 535, 401, 569, 444, 612, 490, 658, 489, 657, 443, 611, 402, 570)(368, 536, 398, 566, 430, 598, 479, 647, 486, 654, 438, 606, 394, 562)(373, 541, 409, 577, 391, 559, 432, 600, 472, 640, 424, 592, 410, 578)(383, 551, 422, 590, 414, 582, 459, 627, 478, 646, 429, 597, 423, 591)(386, 554, 425, 593, 450, 618, 497, 665, 492, 660, 475, 643, 426, 594)(396, 564, 440, 608, 488, 656, 455, 623, 470, 638, 487, 655, 441, 609)(397, 565, 437, 605, 481, 649, 503, 671, 496, 664, 483, 651, 433, 601)(404, 572, 446, 614, 493, 661, 474, 642, 504, 672, 491, 659, 447, 615)(405, 573, 448, 616, 494, 662, 471, 639, 435, 603, 485, 653, 449, 617)(408, 576, 452, 620, 466, 634, 480, 648, 477, 645, 428, 596, 453, 621)(417, 585, 462, 630, 502, 670, 495, 663, 473, 641, 501, 669, 463, 631)(418, 586, 464, 632, 482, 650, 436, 604, 454, 622, 498, 666, 465, 633)(421, 589, 468, 636, 476, 644, 500, 668, 499, 667, 457, 625, 469, 637)
	L = (1, 340)(2, 337)(3, 346)(4, 338)(5, 350)(6, 354)(7, 356)(8, 339)(9, 362)(10, 344)(11, 367)(12, 369)(13, 341)(14, 349)(15, 353)(16, 342)(17, 373)(18, 352)(19, 343)(20, 355)(21, 366)(22, 375)(23, 387)(24, 345)(25, 391)(26, 360)(27, 396)(28, 398)(29, 347)(30, 383)(31, 365)(32, 348)(33, 368)(34, 404)(35, 378)(36, 408)(37, 351)(38, 403)(39, 385)(40, 372)(41, 414)(42, 405)(43, 370)(44, 417)(45, 401)(46, 421)(47, 357)(48, 416)(49, 358)(50, 359)(51, 386)(52, 395)(53, 430)(54, 361)(55, 390)(56, 435)(57, 437)(58, 363)(59, 428)(60, 394)(61, 364)(62, 397)(63, 382)(64, 434)(65, 418)(66, 380)(67, 411)(68, 379)(69, 371)(70, 407)(71, 450)(72, 376)(73, 454)(74, 446)(75, 374)(76, 415)(77, 377)(78, 413)(79, 457)(80, 424)(81, 402)(82, 381)(83, 420)(84, 466)(85, 399)(86, 470)(87, 462)(88, 384)(89, 473)(90, 440)(91, 476)(92, 388)(93, 389)(94, 429)(95, 481)(96, 467)(97, 392)(98, 443)(99, 433)(100, 393)(101, 436)(102, 427)(103, 472)(104, 474)(105, 425)(106, 444)(107, 400)(108, 475)(109, 492)(110, 455)(111, 409)(112, 495)(113, 452)(114, 406)(115, 494)(116, 496)(117, 448)(118, 447)(119, 410)(120, 498)(121, 412)(122, 493)(123, 486)(124, 478)(125, 477)(126, 471)(127, 422)(128, 503)(129, 468)(130, 419)(131, 482)(132, 504)(133, 464)(134, 463)(135, 423)(136, 487)(137, 441)(138, 426)(139, 442)(140, 438)(141, 501)(142, 485)(143, 499)(144, 431)(145, 480)(146, 432)(147, 479)(148, 451)(149, 460)(150, 488)(151, 439)(152, 459)(153, 502)(154, 456)(155, 445)(156, 491)(157, 500)(158, 484)(159, 453)(160, 449)(161, 489)(162, 490)(163, 483)(164, 458)(165, 461)(166, 497)(167, 469)(168, 465)(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 ) }
Outer automorphisms :: reflexible
Dual of E24.2034
Graph:: bipartite
	v = 80 e = 336 f = 210
	degree seq :: [ 6^56, 14^24 ]

E24.2034 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y3^7, Y1^-2 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3, (Y3^3 * Y1^-1 * Y3^-2 * Y1^-1)^2, (Y3 * Y2^-1)^7 ]
Map:: polytopal
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 19, 187, 8, 176)(5, 173, 11, 179, 25, 193, 13, 181)(7, 175, 17, 185, 33, 201, 16, 184)(10, 178, 23, 191, 42, 210, 22, 190)(12, 180, 15, 183, 31, 199, 21, 189)(14, 182, 28, 196, 51, 219, 29, 197)(18, 186, 36, 204, 61, 229, 35, 203)(20, 188, 38, 206, 65, 233, 39, 207)(24, 192, 45, 213, 74, 242, 44, 212)(26, 194, 47, 215, 76, 244, 46, 214)(27, 195, 41, 209, 69, 237, 49, 217)(30, 198, 53, 221, 85, 253, 54, 222)(32, 200, 56, 224, 87, 255, 55, 223)(34, 202, 58, 226, 91, 259, 59, 227)(37, 205, 64, 232, 97, 265, 63, 231)(40, 208, 67, 235, 102, 270, 68, 236)(43, 211, 71, 239, 106, 274, 72, 240)(48, 216, 79, 247, 115, 283, 78, 246)(50, 218, 80, 248, 117, 285, 81, 249)(52, 220, 83, 251, 119, 287, 82, 250)(57, 225, 90, 258, 127, 295, 89, 257)(60, 228, 93, 261, 131, 299, 94, 262)(62, 230, 95, 263, 133, 301, 96, 264)(66, 234, 100, 268, 137, 305, 99, 267)(70, 238, 105, 273, 142, 310, 104, 272)(73, 241, 108, 276, 147, 315, 109, 277)(75, 243, 110, 278, 123, 291, 86, 254)(77, 245, 112, 280, 150, 318, 113, 281)(84, 252, 122, 290, 160, 328, 121, 289)(88, 256, 125, 293, 162, 330, 126, 294)(92, 260, 130, 298, 164, 332, 129, 297)(98, 266, 135, 303, 141, 309, 103, 271)(101, 269, 140, 308, 159, 327, 139, 307)(107, 275, 145, 313, 165, 333, 144, 312)(111, 279, 124, 292, 156, 324, 136, 304)(114, 282, 152, 320, 146, 314, 153, 321)(116, 284, 154, 322, 155, 323, 118, 286)(120, 288, 157, 325, 163, 331, 158, 326)(128, 296, 161, 329, 149, 317, 132, 300)(134, 302, 148, 316, 143, 311, 166, 334)(138, 306, 167, 335, 151, 319, 168, 336)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 343)(3, 346)(4, 347)(5, 337)(6, 351)(7, 354)(8, 338)(9, 357)(10, 360)(11, 362)(12, 340)(13, 364)(14, 341)(15, 368)(16, 342)(17, 349)(18, 373)(19, 374)(20, 344)(21, 377)(22, 345)(23, 375)(24, 366)(25, 369)(26, 384)(27, 348)(28, 388)(29, 389)(30, 350)(31, 355)(32, 393)(33, 394)(34, 352)(35, 353)(36, 395)(37, 376)(38, 402)(39, 403)(40, 356)(41, 406)(42, 407)(43, 358)(44, 359)(45, 408)(46, 361)(47, 365)(48, 386)(49, 416)(50, 363)(51, 412)(52, 420)(53, 422)(54, 381)(55, 367)(56, 385)(57, 396)(58, 428)(59, 429)(60, 370)(61, 431)(62, 371)(63, 372)(64, 432)(65, 378)(66, 437)(67, 439)(68, 400)(69, 423)(70, 409)(71, 443)(72, 444)(73, 379)(74, 446)(75, 380)(76, 448)(77, 382)(78, 383)(79, 449)(80, 454)(81, 415)(82, 387)(83, 390)(84, 398)(85, 455)(86, 460)(87, 461)(88, 391)(89, 392)(90, 462)(91, 397)(92, 450)(93, 468)(94, 426)(95, 470)(96, 458)(97, 471)(98, 399)(99, 401)(100, 404)(101, 424)(102, 473)(103, 447)(104, 405)(105, 417)(106, 410)(107, 482)(108, 484)(109, 441)(110, 485)(111, 411)(112, 487)(113, 488)(114, 413)(115, 490)(116, 414)(117, 478)(118, 492)(119, 493)(120, 418)(121, 419)(122, 494)(123, 421)(124, 452)(125, 499)(126, 476)(127, 497)(128, 425)(129, 427)(130, 430)(131, 500)(132, 472)(133, 433)(134, 483)(135, 491)(136, 434)(137, 503)(138, 435)(139, 436)(140, 504)(141, 438)(142, 502)(143, 440)(144, 442)(145, 445)(146, 474)(147, 501)(148, 457)(149, 467)(150, 451)(151, 495)(152, 481)(153, 466)(154, 477)(155, 453)(156, 464)(157, 498)(158, 475)(159, 456)(160, 479)(161, 459)(162, 463)(163, 496)(164, 480)(165, 465)(166, 469)(167, 486)(168, 489)(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) :: { ( 6, 14 ), ( 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.2033
Graph:: simple bipartite
	v = 210 e = 336 f = 80
	degree seq :: [ 2^168, 8^42 ]

E24.2035 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3)^3, (Y3^-2 * Y1)^2, Y3^7, Y1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1, (Y3^-2 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y2^-1)^7 ]
Map:: polytopal
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 25, 193, 11, 179)(5, 173, 14, 182, 37, 205, 15, 183)(7, 175, 19, 187, 48, 216, 21, 189)(8, 176, 22, 190, 54, 222, 23, 191)(10, 178, 28, 196, 57, 225, 24, 192)(12, 180, 32, 200, 73, 241, 34, 202)(13, 181, 35, 203, 62, 230, 26, 194)(16, 184, 33, 201, 75, 243, 40, 208)(17, 185, 42, 210, 83, 251, 44, 212)(18, 186, 45, 213, 59, 227, 46, 214)(20, 188, 50, 218, 97, 265, 47, 215)(27, 195, 63, 231, 121, 289, 64, 232)(29, 197, 68, 236, 124, 292, 65, 233)(30, 198, 69, 237, 128, 296, 70, 238)(31, 199, 71, 239, 79, 247, 66, 234)(36, 204, 43, 211, 92, 260, 80, 248)(38, 206, 84, 252, 53, 221, 86, 254)(39, 207, 87, 255, 148, 316, 89, 257)(41, 209, 88, 256, 150, 318, 91, 259)(49, 217, 100, 268, 118, 286, 61, 229)(51, 219, 103, 271, 161, 329, 101, 269)(52, 220, 104, 272, 163, 331, 105, 273)(55, 223, 108, 276, 95, 263, 110, 278)(56, 224, 74, 242, 134, 302, 112, 280)(58, 226, 111, 279, 132, 300, 114, 282)(60, 228, 116, 284, 113, 281, 117, 285)(67, 235, 126, 294, 107, 275, 127, 295)(72, 240, 115, 283, 162, 330, 102, 270)(76, 244, 138, 306, 147, 315, 135, 303)(77, 245, 139, 307, 160, 328, 140, 308)(78, 246, 141, 309, 96, 264, 136, 304)(81, 249, 119, 287, 164, 332, 144, 312)(82, 250, 131, 299, 137, 305, 145, 313)(85, 253, 143, 311, 168, 336, 146, 314)(90, 258, 152, 320, 133, 301, 109, 277)(93, 261, 154, 322, 130, 298, 149, 317)(94, 262, 155, 323, 122, 290, 156, 324)(98, 266, 123, 291, 129, 297, 158, 326)(99, 267, 142, 310, 157, 325, 159, 327)(106, 274, 120, 288, 166, 334, 153, 321)(125, 293, 167, 335, 165, 333, 151, 319)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 353)(7, 356)(8, 338)(9, 362)(10, 365)(11, 366)(12, 369)(13, 340)(14, 374)(15, 375)(16, 341)(17, 379)(18, 342)(19, 351)(20, 387)(21, 388)(22, 391)(23, 392)(24, 344)(25, 395)(26, 397)(27, 345)(28, 402)(29, 377)(30, 350)(31, 347)(32, 382)(33, 412)(34, 413)(35, 415)(36, 349)(37, 418)(38, 421)(39, 424)(40, 426)(41, 352)(42, 359)(43, 429)(44, 430)(45, 432)(46, 400)(47, 354)(48, 398)(49, 355)(50, 420)(51, 394)(52, 358)(53, 357)(54, 443)(55, 445)(56, 447)(57, 449)(58, 360)(59, 451)(60, 361)(61, 455)(62, 456)(63, 458)(64, 459)(65, 363)(66, 416)(67, 364)(68, 450)(69, 453)(70, 466)(71, 468)(72, 367)(73, 390)(74, 368)(75, 472)(76, 417)(77, 371)(78, 370)(79, 478)(80, 479)(81, 372)(82, 436)(83, 373)(84, 376)(85, 408)(86, 465)(87, 378)(88, 487)(89, 435)(90, 404)(91, 403)(92, 444)(93, 434)(94, 381)(95, 380)(96, 452)(97, 493)(98, 383)(99, 384)(100, 496)(101, 385)(102, 386)(103, 494)(104, 495)(105, 483)(106, 389)(107, 484)(108, 393)(109, 442)(110, 500)(111, 501)(112, 482)(113, 439)(114, 438)(115, 470)(116, 481)(117, 463)(118, 396)(119, 461)(120, 399)(121, 469)(122, 425)(123, 503)(124, 446)(125, 401)(126, 414)(127, 441)(128, 457)(129, 405)(130, 407)(131, 406)(132, 475)(133, 409)(134, 499)(135, 410)(136, 433)(137, 411)(138, 427)(139, 488)(140, 497)(141, 486)(142, 462)(143, 474)(144, 473)(145, 431)(146, 419)(147, 422)(148, 464)(149, 423)(150, 491)(151, 437)(152, 467)(153, 428)(154, 480)(155, 504)(156, 460)(157, 490)(158, 489)(159, 498)(160, 448)(161, 477)(162, 492)(163, 454)(164, 440)(165, 485)(166, 476)(167, 471)(168, 502)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 6, 14 ), ( 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E24.2032
Graph:: simple bipartite
	v = 210 e = 336 f = 80
	degree seq :: [ 2^168, 8^42 ]

E24.2036 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 96})
Quotient :: regular
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T2 * T1^-1 * T2 * T1^47, T1^-2 * T2 * T1^23 * T2 * T1^-23 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 102, 94, 84, 91, 85, 92, 100, 106, 110, 114, 119, 190, 178, 160, 142, 130, 124, 126, 132, 144, 162, 180, 171, 157, 135, 147, 137, 149, 165, 182, 121, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 104, 96, 87, 78, 72, 69, 70, 73, 79, 88, 97, 105, 109, 113, 118, 188, 174, 154, 168, 156, 170, 185, 192, 186, 175, 151, 139, 127, 133, 145, 163, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 99, 89, 82, 74, 81, 77, 86, 95, 103, 108, 112, 116, 122, 181, 166, 146, 138, 128, 136, 152, 172, 179, 191, 143, 169, 125, 167, 129, 173, 159, 117, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 98, 90, 80, 76, 71, 75, 83, 93, 101, 107, 111, 115, 120, 183, 164, 150, 134, 148, 140, 158, 176, 189, 161, 184, 131, 155, 123, 153, 141, 187, 177, 62, 55, 46, 39, 30, 22, 12, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 117)(63, 104)(67, 121)(68, 98)(69, 123)(70, 125)(71, 127)(72, 129)(73, 131)(74, 133)(75, 135)(76, 137)(77, 139)(78, 141)(79, 143)(80, 145)(81, 147)(82, 149)(83, 151)(84, 153)(85, 155)(86, 157)(87, 159)(88, 161)(89, 163)(90, 165)(91, 167)(92, 169)(93, 171)(94, 173)(95, 175)(96, 177)(97, 179)(99, 182)(100, 184)(101, 186)(102, 187)(103, 180)(105, 176)(106, 191)(107, 162)(108, 192)(109, 152)(110, 189)(111, 185)(112, 144)(113, 140)(114, 172)(115, 132)(116, 170)(118, 128)(119, 158)(120, 156)(122, 126)(124, 183)(130, 166)(134, 188)(136, 190)(138, 160)(142, 150)(146, 174)(148, 178)(154, 164)(168, 181)
	local type(s) :: { ( 4^96 ) }
Outer automorphisms :: reflexible
Dual of E24.2037
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 96 f = 48
	degree seq :: [ 96^2 ]

E24.2037 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 96})
Quotient :: regular
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 4)(3, 7, 10, 8)(6, 11, 9, 12)(13, 17, 14, 18)(15, 19, 16, 20)(21, 25, 22, 26)(23, 27, 24, 28)(29, 33, 30, 34)(31, 35, 32, 36)(37, 69, 38, 70)(39, 71, 43, 73)(40, 74, 42, 76)(41, 75, 48, 78)(44, 79, 47, 72)(45, 81, 46, 82)(49, 85, 50, 86)(51, 84, 52, 77)(53, 83, 54, 80)(55, 89, 56, 90)(57, 91, 58, 92)(59, 88, 60, 87)(61, 93, 62, 94)(63, 95, 64, 96)(65, 97, 66, 98)(67, 99, 68, 100)(101, 133, 102, 134)(103, 135, 104, 137)(105, 136, 106, 138)(107, 141, 108, 143)(109, 142, 110, 144)(111, 145, 112, 146)(113, 140, 114, 139)(115, 149, 116, 150)(117, 151, 118, 152)(119, 148, 120, 147)(121, 153, 122, 154)(123, 155, 124, 156)(125, 157, 126, 158)(127, 159, 128, 160)(129, 161, 130, 162)(131, 163, 132, 164)(165, 191, 166, 192)(167, 174, 168, 173)(169, 183, 170, 184)(171, 188, 172, 187)(175, 182, 176, 181)(177, 185, 178, 186)(179, 190, 180, 189)
	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, 59)(36, 60)(39, 72)(40, 75)(41, 77)(42, 78)(43, 79)(44, 80)(45, 71)(46, 73)(47, 83)(48, 84)(49, 74)(50, 76)(51, 87)(52, 88)(53, 69)(54, 70)(55, 81)(56, 82)(57, 85)(58, 86)(61, 89)(62, 90)(63, 91)(64, 92)(65, 93)(66, 94)(67, 95)(68, 96)(97, 101)(98, 102)(99, 120)(100, 119)(103, 136)(104, 138)(105, 139)(106, 140)(107, 142)(108, 144)(109, 145)(110, 146)(111, 147)(112, 148)(113, 134)(114, 133)(115, 135)(116, 137)(117, 141)(118, 143)(121, 149)(122, 150)(123, 151)(124, 152)(125, 153)(126, 154)(127, 155)(128, 156)(129, 157)(130, 158)(131, 159)(132, 160)(161, 165)(162, 166)(163, 179)(164, 180)(167, 183)(168, 184)(169, 188)(170, 187)(171, 191)(172, 192)(173, 182)(174, 181)(175, 185)(176, 186)(177, 190)(178, 189)
	local type(s) :: { ( 96^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2036
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 48 e = 96 f = 2
	degree seq :: [ 4^48 ]

E24.2038 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 96})
Quotient :: edge
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 37, 34, 38)(35, 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, 178, 140, 177)(143, 182, 150, 181)(146, 185, 155, 184)(149, 188, 151, 187)(154, 189, 156, 191)(159, 192, 160, 186)(163, 190, 164, 183)(167, 180, 168, 179)(171, 176, 172, 175)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 203)(205, 209)(206, 210)(207, 211)(208, 212)(213, 217)(214, 218)(215, 219)(216, 220)(221, 225)(222, 226)(223, 227)(224, 228)(229, 234)(230, 231)(232, 251)(233, 253)(235, 255)(236, 256)(237, 249)(238, 258)(239, 259)(240, 261)(241, 264)(242, 266)(243, 269)(244, 271)(245, 273)(246, 275)(247, 277)(248, 279)(250, 281)(252, 283)(254, 287)(257, 289)(260, 294)(262, 285)(263, 293)(265, 297)(267, 290)(268, 296)(270, 300)(272, 299)(274, 305)(276, 304)(278, 310)(280, 309)(282, 314)(284, 313)(286, 318)(288, 317)(291, 322)(292, 321)(295, 325)(298, 330)(301, 333)(302, 326)(303, 334)(306, 336)(307, 329)(308, 337)(311, 339)(312, 340)(315, 344)(316, 345)(319, 349)(320, 350)(323, 353)(324, 354)(327, 357)(328, 358)(331, 361)(332, 362)(335, 366)(338, 369)(341, 374)(342, 365)(343, 373)(346, 377)(347, 370)(348, 376)(351, 380)(352, 379)(355, 381)(356, 383)(359, 384)(360, 378)(363, 382)(364, 375)(367, 372)(368, 371)
	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) :: { ( 192, 192 ), ( 192^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2042
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 2
	degree seq :: [ 2^96, 4^48 ]

E24.2039 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 96})
Quotient :: edge
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^47 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 118, 137, 124, 140, 153, 168, 176, 186, 192, 191, 183, 175, 163, 150, 134, 149, 162, 120, 112, 108, 104, 100, 96, 88, 80, 73, 69, 71, 78, 86, 94, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 113, 164, 152, 135, 126, 138, 155, 166, 178, 184, 189, 181, 173, 160, 147, 132, 122, 128, 143, 157, 170, 114, 109, 105, 101, 97, 90, 82, 74, 81, 89, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 115, 144, 127, 123, 131, 148, 159, 174, 180, 190, 187, 179, 169, 156, 141, 130, 145, 158, 171, 116, 110, 106, 102, 98, 92, 84, 76, 70, 75, 83, 91, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 119, 142, 129, 121, 133, 146, 161, 172, 182, 188, 185, 177, 167, 154, 139, 125, 136, 151, 165, 117, 111, 107, 103, 99, 93, 85, 77, 72, 79, 87, 95, 64, 56, 48, 40, 32, 24, 16, 8)(193, 194, 198, 196)(195, 201, 205, 200)(197, 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, 245, 241)(236, 239, 246, 243)(242, 249, 253, 248)(244, 251, 254, 247)(250, 256, 305, 257)(252, 255, 286, 259)(258, 283, 356, 287)(260, 311, 278, 307)(261, 313, 266, 315)(262, 316, 264, 318)(263, 319, 273, 321)(265, 323, 274, 325)(267, 327, 271, 329)(268, 330, 269, 332)(270, 334, 281, 336)(272, 338, 282, 340)(275, 310, 279, 344)(276, 345, 277, 347)(280, 351, 289, 353)(284, 358, 285, 360)(288, 364, 293, 366)(290, 368, 291, 370)(292, 372, 297, 374)(294, 376, 295, 378)(296, 380, 301, 382)(298, 384, 299, 381)(300, 379, 306, 377)(302, 373, 303, 383)(304, 369, 362, 371)(308, 375, 309, 365)(312, 361, 349, 359)(314, 322, 326, 317)(320, 331, 341, 333)(324, 328, 342, 337)(335, 348, 354, 346)(339, 350, 355, 343)(352, 357, 367, 363)
	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 ), ( 4^96 ) }
Outer automorphisms :: reflexible
Dual of E24.2043
Transitivity :: ET+
Graph:: bipartite
	v = 50 e = 192 f = 96
	degree seq :: [ 4^48, 96^2 ]

E24.2040 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 96})
Quotient :: edge
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^47, T1^-2 * T2 * T1^23 * T2 * T1^-23 ]
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, 101)(63, 72)(67, 105)(68, 82)(69, 107)(70, 108)(71, 109)(73, 110)(74, 111)(75, 112)(76, 113)(77, 114)(78, 115)(79, 116)(80, 117)(81, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 133)(97, 134)(98, 135)(99, 136)(100, 138)(102, 141)(103, 142)(104, 143)(106, 145)(132, 169)(137, 174)(139, 177)(140, 178)(144, 181)(146, 183)(147, 185)(148, 186)(149, 187)(150, 188)(151, 189)(152, 190)(153, 191)(154, 192)(155, 184)(156, 182)(157, 180)(158, 179)(159, 176)(160, 175)(161, 173)(162, 172)(163, 171)(164, 170)(165, 168)(166, 167)(193, 194, 197, 203, 212, 221, 229, 237, 245, 253, 263, 267, 272, 277, 281, 285, 289, 294, 331, 339, 343, 347, 351, 355, 359, 364, 371, 384, 380, 375, 337, 330, 325, 320, 316, 312, 308, 303, 300, 299, 297, 258, 250, 242, 234, 226, 218, 208, 215, 209, 216, 224, 232, 240, 248, 256, 264, 268, 265, 269, 273, 278, 282, 286, 290, 295, 332, 340, 344, 348, 352, 356, 360, 365, 372, 383, 379, 373, 366, 361, 335, 328, 323, 319, 315, 311, 307, 260, 252, 244, 236, 228, 220, 211, 202, 196)(195, 199, 207, 217, 225, 233, 241, 249, 257, 261, 270, 266, 279, 276, 287, 284, 296, 292, 329, 338, 341, 346, 349, 354, 357, 363, 367, 376, 382, 377, 370, 333, 327, 321, 318, 313, 310, 304, 302, 293, 255, 246, 239, 230, 223, 213, 206, 198, 205, 201, 210, 219, 227, 235, 243, 251, 259, 274, 262, 275, 271, 283, 280, 291, 288, 324, 298, 336, 342, 345, 350, 353, 358, 362, 368, 374, 381, 378, 369, 334, 326, 322, 317, 314, 309, 306, 301, 305, 254, 247, 238, 231, 222, 214, 204, 200)
	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 ), ( 8^96 ) }
Outer automorphisms :: reflexible
Dual of E24.2041
Transitivity :: ET+
Graph:: simple bipartite
	v = 98 e = 192 f = 48
	degree seq :: [ 2^96, 96^2 ]

E24.2041 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 96})
Quotient :: loop
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 9, 201, 14, 206)(10, 202, 15, 207, 12, 204, 16, 208)(17, 209, 21, 213, 18, 210, 22, 214)(19, 211, 23, 215, 20, 212, 24, 216)(25, 217, 29, 221, 26, 218, 30, 222)(27, 219, 31, 223, 28, 220, 32, 224)(33, 225, 37, 229, 34, 226, 38, 230)(35, 227, 57, 249, 36, 228, 59, 251)(39, 231, 61, 253, 42, 234, 63, 255)(40, 232, 64, 256, 45, 237, 66, 258)(41, 233, 67, 259, 43, 235, 69, 261)(44, 236, 72, 264, 46, 238, 74, 266)(47, 239, 77, 269, 48, 240, 79, 271)(49, 241, 81, 273, 50, 242, 83, 275)(51, 243, 85, 277, 52, 244, 87, 279)(53, 245, 89, 281, 54, 246, 91, 283)(55, 247, 93, 285, 56, 248, 95, 287)(58, 250, 98, 290, 60, 252, 97, 289)(62, 254, 102, 294, 70, 262, 101, 293)(65, 257, 105, 297, 75, 267, 104, 296)(68, 260, 108, 300, 71, 263, 107, 299)(73, 265, 113, 305, 76, 268, 112, 304)(78, 270, 118, 310, 80, 272, 117, 309)(82, 274, 122, 314, 84, 276, 121, 313)(86, 278, 126, 318, 88, 280, 125, 317)(90, 282, 130, 322, 92, 284, 129, 321)(94, 286, 134, 326, 96, 288, 133, 325)(99, 291, 137, 329, 100, 292, 138, 330)(103, 295, 141, 333, 110, 302, 142, 334)(106, 298, 144, 336, 115, 307, 145, 337)(109, 301, 147, 339, 111, 303, 148, 340)(114, 306, 152, 344, 116, 308, 153, 345)(119, 311, 157, 349, 120, 312, 158, 350)(123, 315, 161, 353, 124, 316, 162, 354)(127, 319, 165, 357, 128, 320, 166, 358)(131, 323, 169, 361, 132, 324, 170, 362)(135, 327, 173, 365, 136, 328, 174, 366)(139, 331, 178, 370, 140, 332, 177, 369)(143, 335, 182, 374, 150, 342, 181, 373)(146, 338, 185, 377, 155, 347, 184, 376)(149, 341, 188, 380, 151, 343, 187, 379)(154, 346, 189, 381, 156, 348, 191, 383)(159, 351, 192, 384, 160, 352, 186, 378)(163, 355, 190, 382, 164, 356, 183, 375)(167, 359, 180, 372, 168, 360, 179, 371)(171, 363, 176, 368, 172, 364, 175, 367)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 203)(9, 196)(10, 197)(11, 200)(12, 198)(13, 209)(14, 210)(15, 211)(16, 212)(17, 205)(18, 206)(19, 207)(20, 208)(21, 217)(22, 218)(23, 219)(24, 220)(25, 213)(26, 214)(27, 215)(28, 216)(29, 225)(30, 226)(31, 227)(32, 228)(33, 221)(34, 222)(35, 223)(36, 224)(37, 234)(38, 231)(39, 230)(40, 251)(41, 253)(42, 229)(43, 255)(44, 256)(45, 249)(46, 258)(47, 259)(48, 261)(49, 264)(50, 266)(51, 269)(52, 271)(53, 273)(54, 275)(55, 277)(56, 279)(57, 237)(58, 281)(59, 232)(60, 283)(61, 233)(62, 287)(63, 235)(64, 236)(65, 289)(66, 238)(67, 239)(68, 294)(69, 240)(70, 285)(71, 293)(72, 241)(73, 297)(74, 242)(75, 290)(76, 296)(77, 243)(78, 300)(79, 244)(80, 299)(81, 245)(82, 305)(83, 246)(84, 304)(85, 247)(86, 310)(87, 248)(88, 309)(89, 250)(90, 314)(91, 252)(92, 313)(93, 262)(94, 318)(95, 254)(96, 317)(97, 257)(98, 267)(99, 322)(100, 321)(101, 263)(102, 260)(103, 325)(104, 268)(105, 265)(106, 330)(107, 272)(108, 270)(109, 333)(110, 326)(111, 334)(112, 276)(113, 274)(114, 336)(115, 329)(116, 337)(117, 280)(118, 278)(119, 339)(120, 340)(121, 284)(122, 282)(123, 344)(124, 345)(125, 288)(126, 286)(127, 349)(128, 350)(129, 292)(130, 291)(131, 353)(132, 354)(133, 295)(134, 302)(135, 357)(136, 358)(137, 307)(138, 298)(139, 361)(140, 362)(141, 301)(142, 303)(143, 366)(144, 306)(145, 308)(146, 369)(147, 311)(148, 312)(149, 374)(150, 365)(151, 373)(152, 315)(153, 316)(154, 377)(155, 370)(156, 376)(157, 319)(158, 320)(159, 380)(160, 379)(161, 323)(162, 324)(163, 381)(164, 383)(165, 327)(166, 328)(167, 384)(168, 378)(169, 331)(170, 332)(171, 382)(172, 375)(173, 342)(174, 335)(175, 372)(176, 371)(177, 338)(178, 347)(179, 368)(180, 367)(181, 343)(182, 341)(183, 364)(184, 348)(185, 346)(186, 360)(187, 352)(188, 351)(189, 355)(190, 363)(191, 356)(192, 359)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E24.2040
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 98
	degree seq :: [ 8^48 ]

E24.2042 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 96})
Quotient :: loop
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^47 * T1 * T2^-1 * T1^-1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 18, 210, 26, 218, 34, 226, 42, 234, 50, 242, 58, 250, 66, 258, 73, 265, 79, 271, 82, 274, 87, 279, 90, 282, 95, 287, 98, 290, 104, 296, 144, 336, 150, 342, 153, 345, 158, 350, 161, 353, 166, 358, 169, 361, 174, 366, 177, 369, 192, 384, 188, 380, 183, 375, 147, 339, 140, 332, 135, 327, 130, 322, 126, 318, 122, 314, 118, 310, 114, 306, 110, 302, 107, 299, 102, 294, 62, 254, 54, 246, 46, 238, 38, 230, 30, 222, 22, 214, 14, 206, 6, 198, 13, 205, 21, 213, 29, 221, 37, 229, 45, 237, 53, 245, 61, 253, 75, 267, 70, 262, 74, 266, 78, 270, 83, 275, 86, 278, 91, 283, 94, 286, 99, 291, 103, 295, 142, 334, 149, 341, 154, 346, 157, 349, 162, 354, 165, 357, 170, 362, 173, 365, 180, 372, 191, 383, 187, 379, 182, 374, 145, 337, 138, 330, 133, 325, 129, 321, 125, 317, 121, 313, 117, 309, 113, 305, 109, 301, 68, 260, 60, 252, 52, 244, 44, 236, 36, 228, 28, 220, 20, 212, 12, 204, 5, 197)(2, 194, 7, 199, 15, 207, 23, 215, 31, 223, 39, 231, 47, 239, 55, 247, 63, 255, 69, 261, 77, 269, 76, 268, 85, 277, 84, 276, 93, 285, 92, 284, 101, 293, 100, 292, 139, 331, 148, 340, 152, 344, 155, 347, 160, 352, 163, 355, 168, 360, 171, 363, 176, 368, 181, 373, 190, 382, 186, 378, 179, 371, 143, 335, 137, 329, 132, 324, 128, 320, 124, 316, 120, 312, 116, 308, 112, 304, 105, 297, 65, 257, 57, 249, 49, 241, 41, 233, 33, 225, 25, 217, 17, 209, 9, 201, 4, 196, 11, 203, 19, 211, 27, 219, 35, 227, 43, 235, 51, 243, 59, 251, 67, 259, 72, 264, 71, 263, 81, 273, 80, 272, 89, 281, 88, 280, 97, 289, 96, 288, 134, 326, 106, 298, 146, 338, 151, 343, 156, 348, 159, 351, 164, 356, 167, 359, 172, 364, 175, 367, 184, 376, 189, 381, 185, 377, 178, 370, 141, 333, 136, 328, 131, 323, 127, 319, 123, 315, 119, 311, 115, 307, 111, 303, 108, 300, 64, 256, 56, 248, 48, 240, 40, 232, 32, 224, 24, 216, 16, 208, 8, 200)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 203)(6, 196)(7, 197)(8, 195)(9, 205)(10, 208)(11, 206)(12, 207)(13, 200)(14, 199)(15, 214)(16, 213)(17, 202)(18, 217)(19, 204)(20, 219)(21, 209)(22, 211)(23, 212)(24, 210)(25, 221)(26, 224)(27, 222)(28, 223)(29, 216)(30, 215)(31, 230)(32, 229)(33, 218)(34, 233)(35, 220)(36, 235)(37, 225)(38, 227)(39, 228)(40, 226)(41, 237)(42, 240)(43, 238)(44, 239)(45, 232)(46, 231)(47, 246)(48, 245)(49, 234)(50, 249)(51, 236)(52, 251)(53, 241)(54, 243)(55, 244)(56, 242)(57, 253)(58, 256)(59, 254)(60, 255)(61, 248)(62, 247)(63, 294)(64, 267)(65, 250)(66, 297)(67, 252)(68, 264)(69, 260)(70, 300)(71, 301)(72, 299)(73, 303)(74, 304)(75, 257)(76, 305)(77, 302)(78, 307)(79, 308)(80, 309)(81, 306)(82, 311)(83, 312)(84, 313)(85, 310)(86, 315)(87, 316)(88, 317)(89, 314)(90, 319)(91, 320)(92, 321)(93, 318)(94, 323)(95, 324)(96, 325)(97, 322)(98, 328)(99, 329)(100, 330)(101, 327)(102, 259)(103, 333)(104, 335)(105, 262)(106, 337)(107, 261)(108, 258)(109, 269)(110, 263)(111, 266)(112, 265)(113, 273)(114, 268)(115, 271)(116, 270)(117, 277)(118, 272)(119, 275)(120, 274)(121, 281)(122, 276)(123, 279)(124, 278)(125, 285)(126, 280)(127, 283)(128, 282)(129, 289)(130, 284)(131, 287)(132, 286)(133, 293)(134, 332)(135, 288)(136, 291)(137, 290)(138, 326)(139, 339)(140, 292)(141, 296)(142, 371)(143, 295)(144, 370)(145, 331)(146, 375)(147, 298)(148, 374)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 376)(158, 373)(159, 372)(160, 369)(161, 367)(162, 368)(163, 365)(164, 366)(165, 364)(166, 363)(167, 362)(168, 361)(169, 359)(170, 360)(171, 357)(172, 358)(173, 356)(174, 355)(175, 354)(176, 353)(177, 351)(178, 334)(179, 336)(180, 352)(181, 349)(182, 338)(183, 340)(184, 350)(185, 342)(186, 341)(187, 344)(188, 343)(189, 346)(190, 345)(191, 348)(192, 347)
	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 ) }
Outer automorphisms :: reflexible
Dual of E24.2038
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 192 f = 144
	degree seq :: [ 192^2 ]

E24.2043 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 96})
Quotient :: loop
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^47, T1^-2 * T2 * T1^23 * T2 * T1^-23 ]
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, 15, 207)(11, 203, 21, 213)(13, 205, 23, 215)(14, 206, 24, 216)(18, 210, 26, 218)(19, 211, 27, 219)(20, 212, 30, 222)(22, 214, 32, 224)(25, 217, 34, 226)(28, 220, 33, 225)(29, 221, 38, 230)(31, 223, 40, 232)(35, 227, 42, 234)(36, 228, 43, 235)(37, 229, 46, 238)(39, 231, 48, 240)(41, 233, 50, 242)(44, 236, 49, 241)(45, 237, 54, 246)(47, 239, 56, 248)(51, 243, 58, 250)(52, 244, 59, 251)(53, 245, 62, 254)(55, 247, 64, 256)(57, 249, 66, 258)(60, 252, 65, 257)(61, 253, 69, 261)(63, 255, 103, 295)(67, 259, 73, 265)(68, 260, 107, 299)(70, 262, 101, 293)(71, 263, 105, 297)(72, 264, 109, 301)(74, 266, 110, 302)(75, 267, 111, 303)(76, 268, 112, 304)(77, 269, 113, 305)(78, 270, 114, 306)(79, 271, 115, 307)(80, 272, 116, 308)(81, 273, 117, 309)(82, 274, 118, 310)(83, 275, 119, 311)(84, 276, 120, 312)(85, 277, 121, 313)(86, 278, 122, 314)(87, 279, 123, 315)(88, 280, 124, 316)(89, 281, 125, 317)(90, 282, 126, 318)(91, 283, 127, 319)(92, 284, 128, 320)(93, 285, 129, 321)(94, 286, 131, 323)(95, 287, 132, 324)(96, 288, 133, 325)(97, 289, 134, 326)(98, 290, 136, 328)(99, 291, 137, 329)(100, 292, 138, 330)(102, 294, 141, 333)(104, 296, 142, 334)(106, 298, 145, 337)(108, 300, 146, 338)(130, 322, 169, 361)(135, 327, 174, 366)(139, 331, 177, 369)(140, 332, 178, 370)(143, 335, 181, 373)(144, 336, 182, 374)(147, 339, 185, 377)(148, 340, 186, 378)(149, 341, 187, 379)(150, 342, 188, 380)(151, 343, 189, 381)(152, 344, 190, 382)(153, 345, 191, 383)(154, 346, 192, 384)(155, 347, 184, 376)(156, 348, 183, 375)(157, 349, 179, 371)(158, 350, 180, 372)(159, 351, 175, 367)(160, 352, 176, 368)(161, 353, 173, 365)(162, 354, 172, 364)(163, 355, 171, 363)(164, 356, 170, 362)(165, 357, 167, 359)(166, 358, 168, 360)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 210)(10, 196)(11, 212)(12, 200)(13, 201)(14, 198)(15, 217)(16, 215)(17, 216)(18, 219)(19, 202)(20, 221)(21, 206)(22, 204)(23, 209)(24, 224)(25, 225)(26, 208)(27, 227)(28, 211)(29, 229)(30, 214)(31, 213)(32, 232)(33, 233)(34, 218)(35, 235)(36, 220)(37, 237)(38, 223)(39, 222)(40, 240)(41, 241)(42, 226)(43, 243)(44, 228)(45, 245)(46, 231)(47, 230)(48, 248)(49, 249)(50, 234)(51, 251)(52, 236)(53, 253)(54, 239)(55, 238)(56, 256)(57, 257)(58, 242)(59, 259)(60, 244)(61, 293)(62, 247)(63, 246)(64, 295)(65, 297)(66, 250)(67, 299)(68, 252)(69, 255)(70, 273)(71, 265)(72, 270)(73, 258)(74, 260)(75, 263)(76, 274)(77, 267)(78, 261)(79, 266)(80, 278)(81, 254)(82, 262)(83, 271)(84, 269)(85, 282)(86, 264)(87, 276)(88, 275)(89, 286)(90, 268)(91, 280)(92, 279)(93, 290)(94, 272)(95, 284)(96, 283)(97, 296)(98, 277)(99, 288)(100, 287)(101, 301)(102, 322)(103, 309)(104, 281)(105, 302)(106, 292)(107, 303)(108, 291)(109, 304)(110, 305)(111, 307)(112, 308)(113, 311)(114, 310)(115, 312)(116, 313)(117, 306)(118, 314)(119, 315)(120, 316)(121, 317)(122, 318)(123, 319)(124, 320)(125, 321)(126, 323)(127, 324)(128, 325)(129, 326)(130, 285)(131, 328)(132, 329)(133, 330)(134, 333)(135, 289)(136, 334)(137, 337)(138, 338)(139, 327)(140, 294)(141, 369)(142, 361)(143, 300)(144, 298)(145, 373)(146, 374)(147, 332)(148, 331)(149, 336)(150, 335)(151, 340)(152, 339)(153, 342)(154, 341)(155, 344)(156, 343)(157, 346)(158, 345)(159, 348)(160, 347)(161, 350)(162, 349)(163, 352)(164, 351)(165, 354)(166, 353)(167, 356)(168, 355)(169, 366)(170, 358)(171, 357)(172, 360)(173, 359)(174, 370)(175, 363)(176, 362)(177, 377)(178, 378)(179, 365)(180, 364)(181, 379)(182, 380)(183, 368)(184, 367)(185, 381)(186, 382)(187, 383)(188, 384)(189, 376)(190, 375)(191, 371)(192, 372)
	local type(s) :: { ( 4, 96, 4, 96 ) }
Outer automorphisms :: reflexible
Dual of E24.2039
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 50
	degree seq :: [ 4^96 ]

E24.2044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 96})
Quotient :: dipole
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^96 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 11, 203)(13, 205, 17, 209)(14, 206, 18, 210)(15, 207, 19, 211)(16, 208, 20, 212)(21, 213, 25, 217)(22, 214, 26, 218)(23, 215, 27, 219)(24, 216, 28, 220)(29, 221, 33, 225)(30, 222, 34, 226)(31, 223, 35, 227)(32, 224, 36, 228)(37, 229, 39, 231)(38, 230, 42, 234)(40, 232, 57, 249)(41, 233, 61, 253)(43, 235, 63, 255)(44, 236, 64, 256)(45, 237, 59, 251)(46, 238, 66, 258)(47, 239, 67, 259)(48, 240, 69, 261)(49, 241, 72, 264)(50, 242, 74, 266)(51, 243, 77, 269)(52, 244, 79, 271)(53, 245, 81, 273)(54, 246, 83, 275)(55, 247, 85, 277)(56, 248, 87, 279)(58, 250, 89, 281)(60, 252, 91, 283)(62, 254, 93, 285)(65, 257, 98, 290)(68, 260, 102, 294)(70, 262, 95, 287)(71, 263, 101, 293)(73, 265, 105, 297)(75, 267, 97, 289)(76, 268, 104, 296)(78, 270, 108, 300)(80, 272, 107, 299)(82, 274, 113, 305)(84, 276, 112, 304)(86, 278, 118, 310)(88, 280, 117, 309)(90, 282, 122, 314)(92, 284, 121, 313)(94, 286, 126, 318)(96, 288, 125, 317)(99, 291, 130, 322)(100, 292, 129, 321)(103, 295, 134, 326)(106, 298, 137, 329)(109, 301, 141, 333)(110, 302, 133, 325)(111, 303, 142, 334)(114, 306, 144, 336)(115, 307, 138, 330)(116, 308, 145, 337)(119, 311, 147, 339)(120, 312, 148, 340)(123, 315, 152, 344)(124, 316, 153, 345)(127, 319, 157, 349)(128, 320, 158, 350)(131, 323, 161, 353)(132, 324, 162, 354)(135, 327, 165, 357)(136, 328, 166, 358)(139, 331, 169, 361)(140, 332, 170, 362)(143, 335, 173, 365)(146, 338, 178, 370)(149, 341, 182, 374)(150, 342, 174, 366)(151, 343, 181, 373)(154, 346, 185, 377)(155, 347, 177, 369)(156, 348, 184, 376)(159, 351, 188, 380)(160, 352, 187, 379)(163, 355, 191, 383)(164, 356, 189, 381)(167, 359, 186, 378)(168, 360, 192, 384)(171, 363, 183, 375)(172, 364, 190, 382)(175, 367, 180, 372)(176, 368, 179, 371)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 393, 585, 398, 590)(394, 586, 399, 591, 396, 588, 400, 592)(401, 593, 405, 597, 402, 594, 406, 598)(403, 595, 407, 599, 404, 596, 408, 600)(409, 601, 413, 605, 410, 602, 414, 606)(411, 603, 415, 607, 412, 604, 416, 608)(417, 609, 421, 613, 418, 610, 422, 614)(419, 611, 441, 633, 420, 612, 443, 635)(423, 615, 445, 637, 426, 618, 447, 639)(424, 616, 448, 640, 429, 621, 450, 642)(425, 617, 451, 643, 427, 619, 453, 645)(428, 620, 456, 648, 430, 622, 458, 650)(431, 623, 461, 653, 432, 624, 463, 655)(433, 625, 465, 657, 434, 626, 467, 659)(435, 627, 469, 661, 436, 628, 471, 663)(437, 629, 473, 665, 438, 630, 475, 667)(439, 631, 477, 669, 440, 632, 479, 671)(442, 634, 482, 674, 444, 636, 481, 673)(446, 638, 486, 678, 454, 646, 485, 677)(449, 641, 489, 681, 459, 651, 488, 680)(452, 644, 492, 684, 455, 647, 491, 683)(457, 649, 497, 689, 460, 652, 496, 688)(462, 654, 502, 694, 464, 656, 501, 693)(466, 658, 506, 698, 468, 660, 505, 697)(470, 662, 510, 702, 472, 664, 509, 701)(474, 666, 514, 706, 476, 668, 513, 705)(478, 670, 518, 710, 480, 672, 517, 709)(483, 675, 521, 713, 484, 676, 522, 714)(487, 679, 525, 717, 494, 686, 526, 718)(490, 682, 528, 720, 499, 691, 529, 721)(493, 685, 531, 723, 495, 687, 532, 724)(498, 690, 536, 728, 500, 692, 537, 729)(503, 695, 541, 733, 504, 696, 542, 734)(507, 699, 545, 737, 508, 700, 546, 738)(511, 703, 549, 741, 512, 704, 550, 742)(515, 707, 553, 745, 516, 708, 554, 746)(519, 711, 557, 749, 520, 712, 558, 750)(523, 715, 562, 754, 524, 716, 561, 753)(527, 719, 566, 758, 534, 726, 565, 757)(530, 722, 569, 761, 539, 731, 568, 760)(533, 725, 572, 764, 535, 727, 571, 763)(538, 730, 575, 767, 540, 732, 573, 765)(543, 735, 570, 762, 544, 736, 576, 768)(547, 739, 567, 759, 548, 740, 574, 766)(551, 743, 564, 756, 552, 744, 563, 755)(555, 747, 560, 752, 556, 748, 559, 751)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 395)(9, 388)(10, 389)(11, 392)(12, 390)(13, 401)(14, 402)(15, 403)(16, 404)(17, 397)(18, 398)(19, 399)(20, 400)(21, 409)(22, 410)(23, 411)(24, 412)(25, 405)(26, 406)(27, 407)(28, 408)(29, 417)(30, 418)(31, 419)(32, 420)(33, 413)(34, 414)(35, 415)(36, 416)(37, 423)(38, 426)(39, 421)(40, 441)(41, 445)(42, 422)(43, 447)(44, 448)(45, 443)(46, 450)(47, 451)(48, 453)(49, 456)(50, 458)(51, 461)(52, 463)(53, 465)(54, 467)(55, 469)(56, 471)(57, 424)(58, 473)(59, 429)(60, 475)(61, 425)(62, 477)(63, 427)(64, 428)(65, 482)(66, 430)(67, 431)(68, 486)(69, 432)(70, 479)(71, 485)(72, 433)(73, 489)(74, 434)(75, 481)(76, 488)(77, 435)(78, 492)(79, 436)(80, 491)(81, 437)(82, 497)(83, 438)(84, 496)(85, 439)(86, 502)(87, 440)(88, 501)(89, 442)(90, 506)(91, 444)(92, 505)(93, 446)(94, 510)(95, 454)(96, 509)(97, 459)(98, 449)(99, 514)(100, 513)(101, 455)(102, 452)(103, 518)(104, 460)(105, 457)(106, 521)(107, 464)(108, 462)(109, 525)(110, 517)(111, 526)(112, 468)(113, 466)(114, 528)(115, 522)(116, 529)(117, 472)(118, 470)(119, 531)(120, 532)(121, 476)(122, 474)(123, 536)(124, 537)(125, 480)(126, 478)(127, 541)(128, 542)(129, 484)(130, 483)(131, 545)(132, 546)(133, 494)(134, 487)(135, 549)(136, 550)(137, 490)(138, 499)(139, 553)(140, 554)(141, 493)(142, 495)(143, 557)(144, 498)(145, 500)(146, 562)(147, 503)(148, 504)(149, 566)(150, 558)(151, 565)(152, 507)(153, 508)(154, 569)(155, 561)(156, 568)(157, 511)(158, 512)(159, 572)(160, 571)(161, 515)(162, 516)(163, 575)(164, 573)(165, 519)(166, 520)(167, 570)(168, 576)(169, 523)(170, 524)(171, 567)(172, 574)(173, 527)(174, 534)(175, 564)(176, 563)(177, 539)(178, 530)(179, 560)(180, 559)(181, 535)(182, 533)(183, 555)(184, 540)(185, 538)(186, 551)(187, 544)(188, 543)(189, 548)(190, 556)(191, 547)(192, 552)(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, 192, 2, 192 ), ( 2, 192, 2, 192, 2, 192, 2, 192 ) }
Outer automorphisms :: reflexible
Dual of E24.2047
Graph:: bipartite
	v = 144 e = 384 f = 194
	degree seq :: [ 4^96, 8^48 ]

E24.2045 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 96})
Quotient :: dipole
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|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^-48 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 13, 205, 8, 200)(5, 197, 11, 203, 14, 206, 7, 199)(10, 202, 16, 208, 21, 213, 17, 209)(12, 204, 15, 207, 22, 214, 19, 211)(18, 210, 25, 217, 29, 221, 24, 216)(20, 212, 27, 219, 30, 222, 23, 215)(26, 218, 32, 224, 37, 229, 33, 225)(28, 220, 31, 223, 38, 230, 35, 227)(34, 226, 41, 233, 45, 237, 40, 232)(36, 228, 43, 235, 46, 238, 39, 231)(42, 234, 48, 240, 53, 245, 49, 241)(44, 236, 47, 239, 54, 246, 51, 243)(50, 242, 57, 249, 61, 253, 56, 248)(52, 244, 59, 251, 62, 254, 55, 247)(58, 250, 64, 256, 85, 277, 65, 257)(60, 252, 63, 255, 106, 298, 67, 259)(66, 258, 108, 300, 80, 272, 133, 325)(68, 260, 76, 268, 126, 318, 75, 267)(69, 261, 111, 303, 73, 265, 113, 305)(70, 262, 114, 306, 72, 264, 116, 308)(71, 263, 117, 309, 79, 271, 119, 311)(74, 266, 122, 314, 78, 270, 124, 316)(77, 269, 128, 320, 84, 276, 130, 322)(81, 273, 135, 327, 83, 275, 137, 329)(82, 274, 138, 330, 89, 281, 140, 332)(86, 278, 144, 336, 88, 280, 146, 338)(87, 279, 147, 339, 93, 285, 149, 341)(90, 282, 152, 344, 92, 284, 154, 346)(91, 283, 155, 347, 97, 289, 157, 349)(94, 286, 160, 352, 96, 288, 162, 354)(95, 287, 163, 355, 101, 293, 165, 357)(98, 290, 168, 360, 100, 292, 170, 362)(99, 291, 171, 363, 105, 297, 173, 365)(102, 294, 176, 368, 104, 296, 178, 370)(103, 295, 179, 371, 143, 335, 181, 373)(107, 299, 184, 376, 110, 302, 186, 378)(109, 301, 187, 379, 134, 326, 189, 381)(112, 304, 190, 382, 121, 313, 185, 377)(115, 307, 180, 372, 120, 312, 191, 383)(118, 310, 177, 369, 132, 324, 182, 374)(123, 315, 183, 375, 131, 323, 172, 364)(125, 317, 192, 384, 127, 319, 188, 380)(129, 321, 174, 366, 142, 334, 169, 361)(136, 328, 164, 356, 141, 333, 175, 367)(139, 331, 161, 353, 151, 343, 166, 358)(145, 337, 167, 359, 150, 342, 156, 348)(148, 340, 158, 350, 159, 351, 153, 345)(385, 577, 387, 579, 394, 586, 402, 594, 410, 602, 418, 610, 426, 618, 434, 626, 442, 634, 450, 642, 453, 645, 455, 647, 461, 653, 466, 658, 471, 663, 475, 667, 479, 671, 483, 675, 487, 679, 493, 685, 496, 688, 502, 694, 513, 705, 523, 715, 532, 724, 540, 732, 548, 740, 556, 748, 564, 756, 572, 764, 568, 760, 562, 754, 552, 744, 546, 738, 536, 728, 530, 722, 519, 711, 508, 700, 498, 690, 510, 702, 490, 682, 446, 638, 438, 630, 430, 622, 422, 614, 414, 606, 406, 598, 398, 590, 390, 582, 397, 589, 405, 597, 413, 605, 421, 613, 429, 621, 437, 629, 445, 637, 469, 661, 464, 656, 457, 649, 463, 655, 468, 660, 473, 665, 477, 669, 481, 673, 485, 677, 489, 681, 527, 719, 518, 710, 505, 697, 516, 708, 526, 718, 535, 727, 543, 735, 551, 743, 559, 751, 567, 759, 575, 767, 576, 768, 570, 762, 560, 752, 554, 746, 544, 736, 538, 730, 528, 720, 521, 713, 506, 698, 500, 692, 452, 644, 444, 636, 436, 628, 428, 620, 420, 612, 412, 604, 404, 596, 396, 588, 389, 581)(386, 578, 391, 583, 399, 591, 407, 599, 415, 607, 423, 615, 431, 623, 439, 631, 447, 639, 459, 651, 454, 646, 458, 650, 465, 657, 470, 662, 474, 666, 478, 670, 482, 674, 486, 678, 491, 683, 509, 701, 499, 691, 507, 699, 520, 712, 529, 721, 537, 729, 545, 737, 553, 745, 561, 753, 569, 761, 571, 763, 565, 757, 555, 747, 549, 741, 539, 731, 533, 725, 522, 714, 514, 706, 501, 693, 497, 689, 492, 684, 449, 641, 441, 633, 433, 625, 425, 617, 417, 609, 409, 601, 401, 593, 393, 585, 388, 580, 395, 587, 403, 595, 411, 603, 419, 611, 427, 619, 435, 627, 443, 635, 451, 643, 460, 652, 456, 648, 462, 654, 467, 659, 472, 664, 476, 668, 480, 672, 484, 676, 488, 680, 494, 686, 511, 703, 504, 696, 515, 707, 525, 717, 534, 726, 542, 734, 550, 742, 558, 750, 566, 758, 574, 766, 573, 765, 563, 755, 557, 749, 547, 739, 541, 733, 531, 723, 524, 716, 512, 704, 503, 695, 495, 687, 517, 709, 448, 640, 440, 632, 432, 624, 424, 616, 416, 608, 408, 600, 400, 592, 392, 584)
	L = (1, 387)(2, 391)(3, 394)(4, 395)(5, 385)(6, 397)(7, 399)(8, 386)(9, 388)(10, 402)(11, 403)(12, 389)(13, 405)(14, 390)(15, 407)(16, 392)(17, 393)(18, 410)(19, 411)(20, 396)(21, 413)(22, 398)(23, 415)(24, 400)(25, 401)(26, 418)(27, 419)(28, 404)(29, 421)(30, 406)(31, 423)(32, 408)(33, 409)(34, 426)(35, 427)(36, 412)(37, 429)(38, 414)(39, 431)(40, 416)(41, 417)(42, 434)(43, 435)(44, 420)(45, 437)(46, 422)(47, 439)(48, 424)(49, 425)(50, 442)(51, 443)(52, 428)(53, 445)(54, 430)(55, 447)(56, 432)(57, 433)(58, 450)(59, 451)(60, 436)(61, 469)(62, 438)(63, 459)(64, 440)(65, 441)(66, 453)(67, 460)(68, 444)(69, 455)(70, 458)(71, 461)(72, 462)(73, 463)(74, 465)(75, 454)(76, 456)(77, 466)(78, 467)(79, 468)(80, 457)(81, 470)(82, 471)(83, 472)(84, 473)(85, 464)(86, 474)(87, 475)(88, 476)(89, 477)(90, 478)(91, 479)(92, 480)(93, 481)(94, 482)(95, 483)(96, 484)(97, 485)(98, 486)(99, 487)(100, 488)(101, 489)(102, 491)(103, 493)(104, 494)(105, 527)(106, 446)(107, 509)(108, 449)(109, 496)(110, 511)(111, 517)(112, 502)(113, 492)(114, 510)(115, 507)(116, 452)(117, 497)(118, 513)(119, 495)(120, 515)(121, 516)(122, 500)(123, 520)(124, 498)(125, 499)(126, 490)(127, 504)(128, 503)(129, 523)(130, 501)(131, 525)(132, 526)(133, 448)(134, 505)(135, 508)(136, 529)(137, 506)(138, 514)(139, 532)(140, 512)(141, 534)(142, 535)(143, 518)(144, 521)(145, 537)(146, 519)(147, 524)(148, 540)(149, 522)(150, 542)(151, 543)(152, 530)(153, 545)(154, 528)(155, 533)(156, 548)(157, 531)(158, 550)(159, 551)(160, 538)(161, 553)(162, 536)(163, 541)(164, 556)(165, 539)(166, 558)(167, 559)(168, 546)(169, 561)(170, 544)(171, 549)(172, 564)(173, 547)(174, 566)(175, 567)(176, 554)(177, 569)(178, 552)(179, 557)(180, 572)(181, 555)(182, 574)(183, 575)(184, 562)(185, 571)(186, 560)(187, 565)(188, 568)(189, 563)(190, 573)(191, 576)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.2046
Graph:: bipartite
	v = 50 e = 384 f = 288
	degree seq :: [ 8^48, 192^2 ]

E24.2046 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 96})
Quotient :: dipole
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|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, Y3^45 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^96 ]
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, 398, 590)(394, 586, 396, 588)(399, 591, 404, 596)(400, 592, 407, 599)(401, 593, 409, 601)(402, 594, 405, 597)(403, 595, 411, 603)(406, 598, 413, 605)(408, 600, 415, 607)(410, 602, 416, 608)(412, 604, 414, 606)(417, 609, 423, 615)(418, 610, 425, 617)(419, 611, 421, 613)(420, 612, 427, 619)(422, 614, 429, 621)(424, 616, 431, 623)(426, 618, 432, 624)(428, 620, 430, 622)(433, 625, 439, 631)(434, 626, 441, 633)(435, 627, 437, 629)(436, 628, 443, 635)(438, 630, 445, 637)(440, 632, 447, 639)(442, 634, 448, 640)(444, 636, 446, 638)(449, 641, 472, 664)(450, 642, 496, 688)(451, 643, 497, 689)(452, 644, 473, 665)(453, 645, 499, 691)(454, 646, 500, 692)(455, 647, 501, 693)(456, 648, 502, 694)(457, 649, 503, 695)(458, 650, 504, 696)(459, 651, 505, 697)(460, 652, 506, 698)(461, 653, 507, 699)(462, 654, 508, 700)(463, 655, 509, 701)(464, 656, 510, 702)(465, 657, 511, 703)(466, 658, 512, 704)(467, 659, 513, 705)(468, 660, 514, 706)(469, 661, 515, 707)(470, 662, 516, 708)(471, 663, 517, 709)(474, 666, 518, 710)(475, 667, 519, 711)(476, 668, 520, 712)(477, 669, 521, 713)(478, 670, 522, 714)(479, 671, 523, 715)(480, 672, 524, 716)(481, 673, 525, 717)(482, 674, 526, 718)(483, 675, 527, 719)(484, 676, 528, 720)(485, 677, 529, 721)(486, 678, 530, 722)(487, 679, 531, 723)(488, 680, 532, 724)(489, 681, 534, 726)(490, 682, 535, 727)(491, 683, 536, 728)(492, 684, 537, 729)(493, 685, 539, 731)(494, 686, 540, 732)(495, 687, 542, 734)(498, 690, 544, 736)(533, 725, 576, 768)(538, 730, 575, 767)(541, 733, 574, 766)(543, 735, 573, 765)(545, 737, 571, 763)(546, 738, 568, 760)(547, 739, 567, 759)(548, 740, 566, 758)(549, 741, 565, 757)(550, 742, 572, 764)(551, 743, 563, 755)(552, 744, 564, 756)(553, 745, 569, 761)(554, 746, 570, 762)(555, 747, 561, 753)(556, 748, 562, 754)(557, 749, 560, 752)(558, 750, 559, 751)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 401)(9, 402)(10, 388)(11, 404)(12, 406)(13, 407)(14, 390)(15, 393)(16, 391)(17, 410)(18, 411)(19, 394)(20, 397)(21, 395)(22, 414)(23, 415)(24, 398)(25, 400)(26, 418)(27, 419)(28, 403)(29, 405)(30, 422)(31, 423)(32, 408)(33, 409)(34, 426)(35, 427)(36, 412)(37, 413)(38, 430)(39, 431)(40, 416)(41, 417)(42, 434)(43, 435)(44, 420)(45, 421)(46, 438)(47, 439)(48, 424)(49, 425)(50, 442)(51, 443)(52, 428)(53, 429)(54, 446)(55, 447)(56, 432)(57, 433)(58, 450)(59, 451)(60, 436)(61, 437)(62, 460)(63, 472)(64, 440)(65, 441)(66, 461)(67, 473)(68, 444)(69, 463)(70, 459)(71, 470)(72, 471)(73, 466)(74, 467)(75, 465)(76, 464)(77, 454)(78, 477)(79, 462)(80, 453)(81, 475)(82, 458)(83, 474)(84, 457)(85, 481)(86, 456)(87, 469)(88, 468)(89, 455)(90, 479)(91, 478)(92, 485)(93, 476)(94, 483)(95, 482)(96, 489)(97, 480)(98, 487)(99, 486)(100, 493)(101, 484)(102, 491)(103, 490)(104, 533)(105, 488)(106, 495)(107, 494)(108, 538)(109, 492)(110, 541)(111, 543)(112, 449)(113, 445)(114, 545)(115, 501)(116, 503)(117, 506)(118, 499)(119, 496)(120, 500)(121, 512)(122, 497)(123, 514)(124, 502)(125, 516)(126, 452)(127, 504)(128, 507)(129, 505)(130, 448)(131, 508)(132, 510)(133, 509)(134, 511)(135, 513)(136, 515)(137, 517)(138, 518)(139, 519)(140, 520)(141, 521)(142, 522)(143, 523)(144, 524)(145, 525)(146, 526)(147, 527)(148, 528)(149, 498)(150, 529)(151, 530)(152, 531)(153, 532)(154, 550)(155, 534)(156, 535)(157, 554)(158, 536)(159, 553)(160, 537)(161, 547)(162, 552)(163, 551)(164, 556)(165, 555)(166, 546)(167, 558)(168, 557)(169, 549)(170, 548)(171, 560)(172, 559)(173, 562)(174, 561)(175, 564)(176, 563)(177, 566)(178, 565)(179, 568)(180, 567)(181, 570)(182, 569)(183, 572)(184, 571)(185, 574)(186, 573)(187, 575)(188, 544)(189, 540)(190, 542)(191, 576)(192, 539)(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, 192 ), ( 8, 192, 8, 192 ) }
Outer automorphisms :: reflexible
Dual of E24.2045
Graph:: simple bipartite
	v = 288 e = 384 f = 50
	degree seq :: [ 2^192, 4^96 ]

E24.2047 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 96})
Quotient :: dipole
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y3 * Y1^-1 * Y3 * Y1^47, Y1^-2 * Y3 * Y1^23 * Y3 * Y1^-23 ]
Map::
	R = (1, 193, 2, 194, 5, 197, 11, 203, 20, 212, 29, 221, 37, 229, 45, 237, 53, 245, 61, 253, 71, 263, 75, 267, 80, 272, 85, 277, 89, 281, 93, 285, 97, 289, 102, 294, 139, 331, 147, 339, 151, 343, 155, 347, 159, 351, 163, 355, 167, 359, 172, 364, 179, 371, 192, 384, 188, 380, 183, 375, 145, 337, 138, 330, 133, 325, 128, 320, 124, 316, 120, 312, 116, 308, 111, 303, 108, 300, 107, 299, 105, 297, 66, 258, 58, 250, 50, 242, 42, 234, 34, 226, 26, 218, 16, 208, 23, 215, 17, 209, 24, 216, 32, 224, 40, 232, 48, 240, 56, 248, 64, 256, 72, 264, 76, 268, 73, 265, 77, 269, 81, 273, 86, 278, 90, 282, 94, 286, 98, 290, 103, 295, 140, 332, 148, 340, 152, 344, 156, 348, 160, 352, 164, 356, 168, 360, 173, 365, 180, 372, 191, 383, 187, 379, 181, 373, 174, 366, 169, 361, 143, 335, 136, 328, 131, 323, 127, 319, 123, 315, 119, 311, 115, 307, 68, 260, 60, 252, 52, 244, 44, 236, 36, 228, 28, 220, 19, 211, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 25, 217, 33, 225, 41, 233, 49, 241, 57, 249, 65, 257, 69, 261, 78, 270, 74, 266, 87, 279, 84, 276, 95, 287, 92, 284, 104, 296, 100, 292, 137, 329, 146, 338, 149, 341, 154, 346, 157, 349, 162, 354, 165, 357, 171, 363, 175, 367, 184, 376, 190, 382, 185, 377, 178, 370, 141, 333, 135, 327, 129, 321, 126, 318, 121, 313, 118, 310, 112, 304, 110, 302, 101, 293, 63, 255, 54, 246, 47, 239, 38, 230, 31, 223, 21, 213, 14, 206, 6, 198, 13, 205, 9, 201, 18, 210, 27, 219, 35, 227, 43, 235, 51, 243, 59, 251, 67, 259, 82, 274, 70, 262, 83, 275, 79, 271, 91, 283, 88, 280, 99, 291, 96, 288, 132, 324, 106, 298, 144, 336, 150, 342, 153, 345, 158, 350, 161, 353, 166, 358, 170, 362, 176, 368, 182, 374, 189, 381, 186, 378, 177, 369, 142, 334, 134, 326, 130, 322, 125, 317, 122, 314, 117, 309, 114, 306, 109, 301, 113, 305, 62, 254, 55, 247, 46, 238, 39, 231, 30, 222, 22, 214, 12, 204, 8, 200)(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, 399)(11, 405)(12, 389)(13, 407)(14, 408)(15, 394)(16, 391)(17, 392)(18, 410)(19, 411)(20, 414)(21, 395)(22, 416)(23, 397)(24, 398)(25, 418)(26, 402)(27, 403)(28, 417)(29, 422)(30, 404)(31, 424)(32, 406)(33, 412)(34, 409)(35, 426)(36, 427)(37, 430)(38, 413)(39, 432)(40, 415)(41, 434)(42, 419)(43, 420)(44, 433)(45, 438)(46, 421)(47, 440)(48, 423)(49, 428)(50, 425)(51, 442)(52, 443)(53, 446)(54, 429)(55, 448)(56, 431)(57, 450)(58, 435)(59, 436)(60, 449)(61, 485)(62, 437)(63, 456)(64, 439)(65, 444)(66, 441)(67, 489)(68, 466)(69, 491)(70, 492)(71, 493)(72, 447)(73, 494)(74, 495)(75, 496)(76, 497)(77, 498)(78, 499)(79, 500)(80, 501)(81, 502)(82, 452)(83, 503)(84, 504)(85, 505)(86, 506)(87, 507)(88, 508)(89, 509)(90, 510)(91, 511)(92, 512)(93, 513)(94, 514)(95, 515)(96, 517)(97, 518)(98, 519)(99, 520)(100, 522)(101, 445)(102, 525)(103, 526)(104, 527)(105, 451)(106, 529)(107, 453)(108, 454)(109, 455)(110, 457)(111, 458)(112, 459)(113, 460)(114, 461)(115, 462)(116, 463)(117, 464)(118, 465)(119, 467)(120, 468)(121, 469)(122, 470)(123, 471)(124, 472)(125, 473)(126, 474)(127, 475)(128, 476)(129, 477)(130, 478)(131, 479)(132, 553)(133, 480)(134, 481)(135, 482)(136, 483)(137, 558)(138, 484)(139, 561)(140, 562)(141, 486)(142, 487)(143, 488)(144, 565)(145, 490)(146, 567)(147, 569)(148, 570)(149, 571)(150, 572)(151, 573)(152, 574)(153, 575)(154, 576)(155, 568)(156, 566)(157, 564)(158, 563)(159, 560)(160, 559)(161, 557)(162, 556)(163, 555)(164, 554)(165, 552)(166, 551)(167, 550)(168, 549)(169, 516)(170, 548)(171, 547)(172, 546)(173, 545)(174, 521)(175, 544)(176, 543)(177, 523)(178, 524)(179, 542)(180, 541)(181, 528)(182, 540)(183, 530)(184, 539)(185, 531)(186, 532)(187, 533)(188, 534)(189, 535)(190, 536)(191, 537)(192, 538)(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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.2044
Graph:: simple bipartite
	v = 194 e = 384 f = 144
	degree seq :: [ 2^192, 192^2 ]

E24.2048 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 96})
Quotient :: dipole
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^3 * Y1 * Y2^-45 * 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, 14, 206)(10, 202, 12, 204)(15, 207, 20, 212)(16, 208, 23, 215)(17, 209, 25, 217)(18, 210, 21, 213)(19, 211, 27, 219)(22, 214, 29, 221)(24, 216, 31, 223)(26, 218, 32, 224)(28, 220, 30, 222)(33, 225, 39, 231)(34, 226, 41, 233)(35, 227, 37, 229)(36, 228, 43, 235)(38, 230, 45, 237)(40, 232, 47, 239)(42, 234, 48, 240)(44, 236, 46, 238)(49, 241, 55, 247)(50, 242, 57, 249)(51, 243, 53, 245)(52, 244, 59, 251)(54, 246, 61, 253)(56, 248, 63, 255)(58, 250, 64, 256)(60, 252, 62, 254)(65, 257, 103, 295)(66, 258, 80, 272)(67, 259, 72, 264)(68, 260, 107, 299)(69, 261, 109, 301)(70, 262, 110, 302)(71, 263, 111, 303)(73, 265, 112, 304)(74, 266, 113, 305)(75, 267, 114, 306)(76, 268, 105, 297)(77, 269, 101, 293)(78, 270, 115, 307)(79, 271, 116, 308)(81, 273, 117, 309)(82, 274, 118, 310)(83, 275, 119, 311)(84, 276, 120, 312)(85, 277, 121, 313)(86, 278, 122, 314)(87, 279, 123, 315)(88, 280, 124, 316)(89, 281, 125, 317)(90, 282, 126, 318)(91, 283, 127, 319)(92, 284, 128, 320)(93, 285, 129, 321)(94, 286, 130, 322)(95, 287, 131, 323)(96, 288, 133, 325)(97, 289, 134, 326)(98, 290, 135, 327)(99, 291, 136, 328)(100, 292, 138, 330)(102, 294, 141, 333)(104, 296, 142, 334)(106, 298, 145, 337)(108, 300, 146, 338)(132, 324, 171, 363)(137, 329, 176, 368)(139, 331, 177, 369)(140, 332, 178, 370)(143, 335, 181, 373)(144, 336, 182, 374)(147, 339, 185, 377)(148, 340, 186, 378)(149, 341, 187, 379)(150, 342, 188, 380)(151, 343, 189, 381)(152, 344, 190, 382)(153, 345, 191, 383)(154, 346, 192, 384)(155, 347, 183, 375)(156, 348, 184, 376)(157, 349, 180, 372)(158, 350, 179, 371)(159, 351, 175, 367)(160, 352, 174, 366)(161, 353, 172, 364)(162, 354, 173, 365)(163, 355, 169, 361)(164, 356, 170, 362)(165, 357, 168, 360)(166, 358, 167, 359)(385, 577, 387, 579, 392, 584, 401, 593, 410, 602, 418, 610, 426, 618, 434, 626, 442, 634, 450, 642, 489, 681, 502, 694, 506, 698, 510, 702, 514, 706, 519, 711, 526, 718, 555, 747, 560, 752, 566, 758, 571, 763, 575, 767, 564, 756, 556, 748, 552, 744, 547, 739, 544, 736, 539, 731, 536, 728, 531, 723, 523, 715, 492, 684, 481, 673, 480, 672, 473, 665, 472, 664, 465, 657, 463, 655, 455, 647, 461, 653, 456, 648, 445, 637, 437, 629, 429, 621, 421, 613, 413, 605, 405, 597, 395, 587, 404, 596, 397, 589, 407, 599, 415, 607, 423, 615, 431, 623, 439, 631, 447, 639, 487, 679, 493, 685, 494, 686, 496, 688, 499, 691, 503, 695, 507, 699, 511, 703, 515, 707, 520, 712, 529, 721, 565, 757, 572, 764, 576, 768, 563, 755, 557, 749, 551, 743, 548, 740, 543, 735, 540, 732, 535, 727, 532, 724, 524, 716, 486, 678, 484, 676, 477, 669, 476, 668, 469, 661, 468, 660, 459, 651, 458, 650, 452, 644, 444, 636, 436, 628, 428, 620, 420, 612, 412, 604, 403, 595, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 406, 598, 414, 606, 422, 614, 430, 622, 438, 630, 446, 638, 485, 677, 497, 689, 500, 692, 504, 696, 508, 700, 512, 704, 517, 709, 522, 714, 530, 722, 562, 754, 569, 761, 573, 765, 567, 759, 559, 751, 553, 745, 550, 742, 545, 737, 542, 734, 537, 729, 534, 726, 528, 720, 490, 682, 516, 708, 479, 671, 482, 674, 471, 663, 474, 666, 462, 654, 466, 658, 454, 646, 464, 656, 449, 641, 441, 633, 433, 625, 425, 617, 417, 609, 409, 601, 400, 592, 391, 583, 399, 591, 393, 585, 402, 594, 411, 603, 419, 611, 427, 619, 435, 627, 443, 635, 451, 643, 491, 683, 495, 687, 498, 690, 501, 693, 505, 697, 509, 701, 513, 705, 518, 710, 525, 717, 561, 753, 570, 762, 574, 766, 568, 760, 558, 750, 554, 746, 549, 741, 546, 738, 541, 733, 538, 730, 533, 725, 527, 719, 521, 713, 483, 675, 488, 680, 475, 667, 478, 670, 467, 659, 470, 662, 457, 649, 460, 652, 453, 645, 448, 640, 440, 632, 432, 624, 424, 616, 416, 608, 408, 600, 398, 590, 390, 582)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 398)(9, 388)(10, 396)(11, 389)(12, 394)(13, 390)(14, 392)(15, 404)(16, 407)(17, 409)(18, 405)(19, 411)(20, 399)(21, 402)(22, 413)(23, 400)(24, 415)(25, 401)(26, 416)(27, 403)(28, 414)(29, 406)(30, 412)(31, 408)(32, 410)(33, 423)(34, 425)(35, 421)(36, 427)(37, 419)(38, 429)(39, 417)(40, 431)(41, 418)(42, 432)(43, 420)(44, 430)(45, 422)(46, 428)(47, 424)(48, 426)(49, 439)(50, 441)(51, 437)(52, 443)(53, 435)(54, 445)(55, 433)(56, 447)(57, 434)(58, 448)(59, 436)(60, 446)(61, 438)(62, 444)(63, 440)(64, 442)(65, 487)(66, 464)(67, 456)(68, 491)(69, 493)(70, 494)(71, 495)(72, 451)(73, 496)(74, 497)(75, 498)(76, 489)(77, 485)(78, 499)(79, 500)(80, 450)(81, 501)(82, 502)(83, 503)(84, 504)(85, 505)(86, 506)(87, 507)(88, 508)(89, 509)(90, 510)(91, 511)(92, 512)(93, 513)(94, 514)(95, 515)(96, 517)(97, 518)(98, 519)(99, 520)(100, 522)(101, 461)(102, 525)(103, 449)(104, 526)(105, 460)(106, 529)(107, 452)(108, 530)(109, 453)(110, 454)(111, 455)(112, 457)(113, 458)(114, 459)(115, 462)(116, 463)(117, 465)(118, 466)(119, 467)(120, 468)(121, 469)(122, 470)(123, 471)(124, 472)(125, 473)(126, 474)(127, 475)(128, 476)(129, 477)(130, 478)(131, 479)(132, 555)(133, 480)(134, 481)(135, 482)(136, 483)(137, 560)(138, 484)(139, 561)(140, 562)(141, 486)(142, 488)(143, 565)(144, 566)(145, 490)(146, 492)(147, 569)(148, 570)(149, 571)(150, 572)(151, 573)(152, 574)(153, 575)(154, 576)(155, 567)(156, 568)(157, 564)(158, 563)(159, 559)(160, 558)(161, 556)(162, 557)(163, 553)(164, 554)(165, 552)(166, 551)(167, 550)(168, 549)(169, 547)(170, 548)(171, 516)(172, 545)(173, 546)(174, 544)(175, 543)(176, 521)(177, 523)(178, 524)(179, 542)(180, 541)(181, 527)(182, 528)(183, 539)(184, 540)(185, 531)(186, 532)(187, 533)(188, 534)(189, 535)(190, 536)(191, 537)(192, 538)(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, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E24.2049
Graph:: bipartite
	v = 98 e = 384 f = 240
	degree seq :: [ 4^96, 192^2 ]

E24.2049 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 96})
Quotient :: dipole
Aut^+ = $<192, 8>$ (small group id <192, 8>)
Aut   = $<384, 1949>$ (small group id <384, 1949>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-48 * Y1^-1, (Y3 * Y2^-1)^96 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 13, 205, 8, 200)(5, 197, 11, 203, 14, 206, 7, 199)(10, 202, 16, 208, 21, 213, 17, 209)(12, 204, 15, 207, 22, 214, 19, 211)(18, 210, 25, 217, 29, 221, 24, 216)(20, 212, 27, 219, 30, 222, 23, 215)(26, 218, 32, 224, 37, 229, 33, 225)(28, 220, 31, 223, 38, 230, 35, 227)(34, 226, 41, 233, 45, 237, 40, 232)(36, 228, 43, 235, 46, 238, 39, 231)(42, 234, 48, 240, 53, 245, 49, 241)(44, 236, 47, 239, 54, 246, 51, 243)(50, 242, 57, 249, 61, 253, 56, 248)(52, 244, 59, 251, 62, 254, 55, 247)(58, 250, 64, 256, 73, 265, 65, 257)(60, 252, 63, 255, 102, 294, 67, 259)(66, 258, 104, 296, 69, 261, 107, 299)(68, 260, 70, 262, 109, 301, 72, 264)(71, 263, 111, 303, 77, 269, 113, 305)(74, 266, 116, 308, 76, 268, 118, 310)(75, 267, 119, 311, 81, 273, 121, 313)(78, 270, 124, 316, 80, 272, 126, 318)(79, 271, 127, 319, 85, 277, 129, 321)(82, 274, 132, 324, 84, 276, 134, 326)(83, 275, 135, 327, 89, 281, 137, 329)(86, 278, 140, 332, 88, 280, 142, 334)(87, 279, 143, 335, 93, 285, 145, 337)(90, 282, 148, 340, 92, 284, 150, 342)(91, 283, 151, 343, 97, 289, 153, 345)(94, 286, 156, 348, 96, 288, 158, 350)(95, 287, 159, 351, 101, 293, 161, 353)(98, 290, 164, 356, 100, 292, 166, 358)(99, 291, 167, 359, 115, 307, 169, 361)(103, 295, 173, 365, 106, 298, 172, 364)(105, 297, 176, 368, 108, 300, 175, 367)(110, 302, 181, 373, 114, 306, 180, 372)(112, 304, 184, 376, 123, 315, 183, 375)(117, 309, 189, 381, 122, 314, 188, 380)(120, 312, 190, 382, 131, 323, 191, 383)(125, 317, 192, 384, 130, 322, 185, 377)(128, 320, 186, 378, 139, 331, 182, 374)(133, 325, 179, 371, 138, 330, 177, 369)(136, 328, 178, 370, 147, 339, 174, 366)(141, 333, 168, 360, 146, 338, 187, 379)(144, 336, 165, 357, 155, 347, 170, 362)(149, 341, 171, 363, 154, 346, 160, 352)(152, 344, 162, 354, 163, 355, 157, 349)(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, 395)(5, 385)(6, 397)(7, 399)(8, 386)(9, 388)(10, 402)(11, 403)(12, 389)(13, 405)(14, 390)(15, 407)(16, 392)(17, 393)(18, 410)(19, 411)(20, 396)(21, 413)(22, 398)(23, 415)(24, 400)(25, 401)(26, 418)(27, 419)(28, 404)(29, 421)(30, 406)(31, 423)(32, 408)(33, 409)(34, 426)(35, 427)(36, 412)(37, 429)(38, 414)(39, 431)(40, 416)(41, 417)(42, 434)(43, 435)(44, 420)(45, 437)(46, 422)(47, 439)(48, 424)(49, 425)(50, 442)(51, 443)(52, 428)(53, 445)(54, 430)(55, 447)(56, 432)(57, 433)(58, 450)(59, 451)(60, 436)(61, 457)(62, 438)(63, 456)(64, 440)(65, 441)(66, 461)(67, 454)(68, 444)(69, 455)(70, 458)(71, 459)(72, 460)(73, 453)(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, 482)(95, 483)(96, 484)(97, 485)(98, 487)(99, 489)(100, 490)(101, 499)(102, 446)(103, 498)(104, 449)(105, 507)(106, 494)(107, 448)(108, 496)(109, 486)(110, 501)(111, 488)(112, 504)(113, 491)(114, 506)(115, 492)(116, 452)(117, 509)(118, 493)(119, 497)(120, 512)(121, 495)(122, 514)(123, 515)(124, 502)(125, 517)(126, 500)(127, 505)(128, 520)(129, 503)(130, 522)(131, 523)(132, 510)(133, 525)(134, 508)(135, 513)(136, 528)(137, 511)(138, 530)(139, 531)(140, 518)(141, 533)(142, 516)(143, 521)(144, 536)(145, 519)(146, 538)(147, 539)(148, 526)(149, 541)(150, 524)(151, 529)(152, 544)(153, 527)(154, 546)(155, 547)(156, 534)(157, 549)(158, 532)(159, 537)(160, 552)(161, 535)(162, 554)(163, 555)(164, 542)(165, 558)(166, 540)(167, 545)(168, 561)(169, 543)(170, 562)(171, 571)(172, 548)(173, 550)(174, 570)(175, 551)(176, 553)(177, 576)(178, 566)(179, 569)(180, 556)(181, 557)(182, 574)(183, 559)(184, 560)(185, 573)(186, 575)(187, 563)(188, 565)(189, 564)(190, 567)(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, 192 ), ( 4, 192, 4, 192, 4, 192, 4, 192 ) }
Outer automorphisms :: reflexible
Dual of E24.2048
Graph:: simple bipartite
	v = 240 e = 384 f = 98
	degree seq :: [ 2^192, 8^48 ]

E24.2050 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 50})
Quotient :: regular
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^50 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 101, 118, 122, 126, 131, 136, 142, 169, 174, 178, 185, 189, 193, 197, 183, 176, 170, 166, 161, 158, 153, 150, 144, 106, 100, 95, 92, 87, 84, 77, 74, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 105, 113, 116, 120, 124, 128, 133, 138, 146, 182, 187, 191, 195, 199, 180, 172, 168, 163, 160, 155, 152, 147, 139, 135, 97, 104, 89, 94, 80, 86, 71, 78, 69, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 107, 112, 115, 119, 123, 127, 132, 137, 145, 181, 188, 192, 196, 200, 179, 173, 167, 164, 159, 156, 151, 148, 140, 102, 130, 93, 98, 85, 90, 75, 82, 70, 81, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 103, 109, 110, 111, 114, 117, 121, 125, 129, 134, 141, 177, 186, 190, 194, 198, 184, 175, 171, 165, 162, 157, 154, 149, 143, 108, 99, 96, 91, 88, 83, 79, 72, 76, 73, 66, 58, 50, 42, 34, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 81)(63, 103)(67, 73)(68, 107)(69, 109)(70, 110)(71, 111)(72, 112)(74, 113)(75, 114)(76, 105)(77, 115)(78, 101)(79, 116)(80, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 131)(95, 132)(96, 133)(97, 134)(98, 136)(99, 137)(100, 138)(102, 141)(104, 142)(106, 145)(108, 146)(130, 169)(135, 174)(139, 177)(140, 178)(143, 181)(144, 182)(147, 185)(148, 186)(149, 187)(150, 188)(151, 189)(152, 190)(153, 191)(154, 192)(155, 193)(156, 194)(157, 195)(158, 196)(159, 197)(160, 198)(161, 199)(162, 200)(163, 183)(164, 184)(165, 180)(166, 179)(167, 176)(168, 175)(170, 172)(171, 173)
	local type(s) :: { ( 4^50 ) }
Outer automorphisms :: reflexible
Dual of E24.2051
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 100 f = 50
	degree seq :: [ 50^4 ]

E24.2051 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 50})
Quotient :: regular
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^50 ]
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, 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, 169, 132, 170)(135, 173, 136, 174)(139, 178, 140, 177)(143, 182, 147, 181)(146, 185, 152, 184)(150, 189, 151, 188)(155, 194, 156, 193)(159, 198, 160, 197)(163, 200, 164, 199)(167, 195, 168, 196)(171, 190, 172, 191)(175, 192, 176, 186)(179, 187, 180, 183)
	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, 169)(140, 170)(143, 173)(146, 178)(147, 174)(150, 182)(151, 181)(152, 177)(155, 185)(156, 184)(159, 189)(160, 188)(163, 194)(164, 193)(167, 198)(168, 197)(171, 200)(172, 199)(175, 195)(176, 196)(179, 190)(180, 191)(183, 192)(186, 187)
	local type(s) :: { ( 50^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2050
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 50 e = 100 f = 4
	degree seq :: [ 4^50 ]

E24.2052 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 50})
Quotient :: edge
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^50 ]
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, 63, 36, 64)(39, 68, 46, 69)(40, 71, 49, 72)(41, 73, 42, 74)(43, 75, 44, 76)(45, 77, 47, 67)(48, 78, 50, 70)(51, 79, 52, 80)(53, 81, 54, 82)(55, 83, 56, 84)(57, 85, 58, 86)(59, 87, 60, 88)(61, 89, 62, 90)(65, 93, 66, 94)(91, 119, 92, 120)(95, 123, 105, 124)(96, 125, 97, 126)(98, 127, 106, 128)(99, 129, 100, 130)(101, 131, 102, 132)(103, 133, 104, 134)(107, 135, 108, 136)(109, 137, 110, 138)(111, 139, 112, 140)(113, 141, 114, 142)(115, 143, 116, 144)(117, 145, 118, 146)(121, 149, 122, 150)(147, 175, 148, 176)(151, 179, 152, 180)(153, 181, 154, 182)(155, 183, 156, 184)(157, 185, 158, 186)(159, 187, 160, 188)(161, 189, 162, 190)(163, 191, 164, 192)(165, 193, 166, 194)(167, 195, 168, 196)(169, 197, 170, 198)(171, 199, 172, 200)(173, 178, 174, 177)(201, 202)(203, 207)(204, 209)(205, 210)(206, 212)(208, 211)(213, 217)(214, 218)(215, 219)(216, 220)(221, 225)(222, 226)(223, 227)(224, 228)(229, 233)(230, 234)(231, 235)(232, 236)(237, 248)(238, 250)(239, 267)(240, 270)(241, 271)(242, 272)(243, 268)(244, 269)(245, 263)(246, 277)(247, 264)(249, 278)(251, 273)(252, 274)(253, 275)(254, 276)(255, 279)(256, 280)(257, 281)(258, 282)(259, 283)(260, 284)(261, 285)(262, 286)(265, 287)(266, 288)(289, 291)(290, 292)(293, 306)(294, 298)(295, 320)(296, 323)(297, 324)(299, 327)(300, 328)(301, 329)(302, 330)(303, 325)(304, 326)(305, 319)(307, 331)(308, 332)(309, 333)(310, 334)(311, 335)(312, 336)(313, 337)(314, 338)(315, 339)(316, 340)(317, 341)(318, 342)(321, 343)(322, 344)(345, 347)(346, 348)(349, 356)(350, 355)(351, 376)(352, 375)(353, 379)(354, 380)(357, 383)(358, 384)(359, 385)(360, 386)(361, 381)(362, 382)(363, 387)(364, 388)(365, 389)(366, 390)(367, 391)(368, 392)(369, 393)(370, 394)(371, 395)(372, 396)(373, 397)(374, 398)(377, 399)(378, 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) :: { ( 100, 100 ), ( 100^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2056
Transitivity :: ET+
Graph:: simple bipartite
	v = 150 e = 200 f = 4
	degree seq :: [ 2^100, 4^50 ]

E24.2053 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 50})
Quotient :: edge
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^50 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 102, 122, 128, 138, 144, 154, 159, 170, 178, 184, 194, 200, 199, 191, 183, 167, 157, 149, 141, 133, 125, 117, 111, 106, 105, 98, 93, 89, 85, 81, 77, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 99, 112, 116, 126, 132, 142, 148, 158, 166, 174, 182, 188, 198, 195, 187, 179, 173, 162, 153, 145, 137, 129, 121, 113, 108, 101, 95, 91, 87, 83, 79, 75, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 103, 110, 118, 124, 134, 140, 150, 156, 161, 176, 180, 190, 196, 193, 185, 177, 171, 164, 155, 147, 139, 131, 123, 115, 109, 100, 94, 90, 86, 82, 78, 74, 71, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 97, 107, 114, 120, 130, 136, 146, 152, 163, 172, 165, 186, 192, 197, 189, 181, 175, 169, 168, 160, 151, 143, 135, 127, 119, 104, 96, 92, 88, 84, 80, 76, 73, 70, 69, 62, 54, 46, 38, 30, 22, 14)(201, 202, 206, 204)(203, 209, 213, 208)(205, 211, 214, 207)(210, 216, 221, 217)(212, 215, 222, 219)(218, 225, 229, 224)(220, 227, 230, 223)(226, 232, 237, 233)(228, 231, 238, 235)(234, 241, 245, 240)(236, 243, 246, 239)(242, 248, 253, 249)(244, 247, 254, 251)(250, 257, 261, 256)(252, 259, 262, 255)(258, 264, 297, 265)(260, 263, 269, 267)(266, 271, 307, 272)(268, 303, 270, 299)(273, 310, 277, 312)(274, 302, 275, 314)(276, 316, 281, 318)(278, 320, 279, 322)(280, 324, 285, 326)(282, 328, 283, 330)(284, 332, 289, 334)(286, 336, 287, 338)(288, 340, 293, 342)(290, 344, 291, 346)(292, 348, 298, 350)(294, 352, 295, 354)(296, 356, 305, 358)(300, 359, 301, 363)(304, 366, 306, 361)(308, 370, 309, 372)(311, 374, 319, 376)(313, 365, 315, 378)(317, 380, 327, 382)(321, 384, 323, 386)(325, 388, 335, 390)(329, 392, 331, 394)(333, 396, 343, 398)(337, 400, 339, 397)(341, 395, 351, 393)(345, 389, 347, 399)(349, 385, 360, 387)(353, 391, 355, 381)(357, 379, 368, 377)(362, 375, 364, 383)(367, 371, 369, 373)
	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 ), ( 4^50 ) }
Outer automorphisms :: reflexible
Dual of E24.2057
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 200 f = 100
	degree seq :: [ 4^50, 50^4 ]

E24.2054 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 50})
Quotient :: edge
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^50 ]
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, 117)(63, 111)(67, 121)(68, 98)(69, 123)(70, 125)(71, 127)(72, 129)(73, 131)(74, 133)(75, 135)(76, 137)(77, 139)(78, 141)(79, 143)(80, 145)(81, 147)(82, 149)(83, 151)(84, 153)(85, 155)(86, 157)(87, 159)(88, 161)(89, 163)(90, 165)(91, 167)(92, 169)(93, 171)(94, 173)(95, 175)(96, 177)(97, 179)(99, 182)(100, 184)(101, 186)(102, 188)(103, 190)(104, 192)(105, 191)(106, 195)(107, 197)(108, 185)(109, 198)(110, 199)(112, 178)(113, 176)(114, 194)(115, 162)(116, 193)(118, 152)(119, 189)(120, 183)(122, 144)(124, 146)(126, 164)(128, 142)(130, 134)(132, 180)(136, 187)(138, 154)(140, 160)(148, 174)(150, 168)(156, 166)(158, 196)(170, 181)(172, 200)(201, 202, 205, 211, 220, 229, 237, 245, 253, 261, 287, 278, 272, 269, 270, 273, 279, 288, 296, 303, 308, 313, 318, 360, 342, 330, 324, 326, 332, 344, 362, 378, 391, 388, 371, 357, 335, 347, 337, 349, 365, 268, 260, 252, 244, 236, 228, 219, 210, 204)(203, 207, 215, 225, 233, 241, 249, 257, 265, 297, 290, 280, 276, 271, 275, 283, 293, 300, 305, 310, 315, 320, 380, 366, 346, 338, 328, 336, 352, 372, 385, 394, 377, 392, 343, 369, 325, 367, 329, 373, 359, 395, 262, 255, 246, 239, 230, 222, 212, 208)(206, 213, 209, 218, 227, 235, 243, 251, 259, 267, 298, 289, 282, 274, 281, 277, 286, 295, 302, 307, 312, 316, 322, 381, 364, 350, 334, 348, 340, 358, 376, 389, 390, 398, 361, 382, 331, 355, 323, 353, 341, 386, 317, 263, 254, 247, 238, 231, 221, 214)(216, 223, 217, 224, 232, 240, 248, 256, 264, 311, 306, 301, 294, 284, 291, 285, 292, 299, 304, 309, 314, 319, 400, 396, 387, 374, 354, 368, 356, 370, 383, 393, 399, 397, 384, 375, 351, 339, 327, 333, 345, 363, 379, 321, 266, 258, 250, 242, 234, 226)
	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 ), ( 8^50 ) }
Outer automorphisms :: reflexible
Dual of E24.2055
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 200 f = 50
	degree seq :: [ 2^100, 50^4 ]

E24.2055 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 50})
Quotient :: loop
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^50 ]
Map::
	R = (1, 201, 3, 203, 8, 208, 4, 204)(2, 202, 5, 205, 11, 211, 6, 206)(7, 207, 13, 213, 9, 209, 14, 214)(10, 210, 15, 215, 12, 212, 16, 216)(17, 217, 21, 221, 18, 218, 22, 222)(19, 219, 23, 223, 20, 220, 24, 224)(25, 225, 29, 229, 26, 226, 30, 230)(27, 227, 31, 231, 28, 228, 32, 232)(33, 233, 37, 237, 34, 234, 38, 238)(35, 235, 65, 265, 36, 236, 67, 267)(39, 239, 70, 270, 46, 246, 72, 272)(40, 240, 74, 274, 49, 249, 76, 276)(41, 241, 78, 278, 42, 242, 73, 273)(43, 243, 83, 283, 44, 244, 69, 269)(45, 245, 87, 287, 47, 247, 89, 289)(48, 248, 92, 292, 50, 250, 94, 294)(51, 251, 80, 280, 52, 252, 77, 277)(53, 253, 85, 285, 54, 254, 82, 282)(55, 255, 101, 301, 56, 256, 103, 303)(57, 257, 105, 305, 58, 258, 107, 307)(59, 259, 109, 309, 60, 260, 111, 311)(61, 261, 113, 313, 62, 262, 115, 315)(63, 263, 117, 317, 64, 264, 119, 319)(66, 266, 122, 322, 68, 268, 121, 321)(71, 271, 128, 328, 90, 290, 126, 326)(75, 275, 133, 333, 95, 295, 131, 331)(79, 279, 130, 330, 81, 281, 132, 332)(84, 284, 125, 325, 86, 286, 127, 327)(88, 288, 144, 344, 91, 291, 143, 343)(93, 293, 149, 349, 96, 296, 148, 348)(97, 297, 135, 335, 98, 298, 136, 336)(99, 299, 139, 339, 100, 300, 140, 340)(102, 302, 158, 358, 104, 304, 157, 357)(106, 306, 162, 362, 108, 308, 161, 361)(110, 310, 166, 366, 112, 312, 165, 365)(114, 314, 170, 370, 116, 316, 169, 369)(118, 318, 174, 374, 120, 320, 173, 373)(123, 323, 177, 377, 124, 324, 178, 378)(129, 329, 182, 382, 146, 346, 184, 384)(134, 334, 185, 385, 151, 351, 188, 388)(137, 337, 187, 387, 138, 338, 186, 386)(141, 341, 183, 383, 142, 342, 181, 381)(145, 345, 191, 391, 147, 347, 192, 392)(150, 350, 195, 395, 152, 352, 196, 396)(153, 353, 190, 390, 154, 354, 189, 389)(155, 355, 194, 394, 156, 356, 193, 393)(159, 359, 197, 397, 160, 360, 198, 398)(163, 363, 199, 399, 164, 364, 200, 400)(167, 367, 180, 380, 168, 368, 179, 379)(171, 371, 176, 376, 172, 372, 175, 375)
	L = (1, 202)(2, 201)(3, 207)(4, 209)(5, 210)(6, 212)(7, 203)(8, 211)(9, 204)(10, 205)(11, 208)(12, 206)(13, 217)(14, 218)(15, 219)(16, 220)(17, 213)(18, 214)(19, 215)(20, 216)(21, 225)(22, 226)(23, 227)(24, 228)(25, 221)(26, 222)(27, 223)(28, 224)(29, 233)(30, 234)(31, 235)(32, 236)(33, 229)(34, 230)(35, 231)(36, 232)(37, 253)(38, 254)(39, 269)(40, 273)(41, 277)(42, 280)(43, 282)(44, 285)(45, 270)(46, 283)(47, 272)(48, 274)(49, 278)(50, 276)(51, 265)(52, 267)(53, 237)(54, 238)(55, 287)(56, 289)(57, 292)(58, 294)(59, 301)(60, 303)(61, 305)(62, 307)(63, 309)(64, 311)(65, 251)(66, 313)(67, 252)(68, 315)(69, 239)(70, 245)(71, 327)(72, 247)(73, 240)(74, 248)(75, 332)(76, 250)(77, 241)(78, 249)(79, 336)(80, 242)(81, 335)(82, 243)(83, 246)(84, 340)(85, 244)(86, 339)(87, 255)(88, 328)(89, 256)(90, 325)(91, 326)(92, 257)(93, 333)(94, 258)(95, 330)(96, 331)(97, 322)(98, 321)(99, 317)(100, 319)(101, 259)(102, 344)(103, 260)(104, 343)(105, 261)(106, 349)(107, 262)(108, 348)(109, 263)(110, 358)(111, 264)(112, 357)(113, 266)(114, 362)(115, 268)(116, 361)(117, 299)(118, 366)(119, 300)(120, 365)(121, 298)(122, 297)(123, 370)(124, 369)(125, 290)(126, 291)(127, 271)(128, 288)(129, 381)(130, 295)(131, 296)(132, 275)(133, 293)(134, 386)(135, 281)(136, 279)(137, 389)(138, 390)(139, 286)(140, 284)(141, 393)(142, 394)(143, 304)(144, 302)(145, 382)(146, 383)(147, 384)(148, 308)(149, 306)(150, 385)(151, 387)(152, 388)(153, 377)(154, 378)(155, 374)(156, 373)(157, 312)(158, 310)(159, 391)(160, 392)(161, 316)(162, 314)(163, 395)(164, 396)(165, 320)(166, 318)(167, 397)(168, 398)(169, 324)(170, 323)(171, 399)(172, 400)(173, 356)(174, 355)(175, 380)(176, 379)(177, 353)(178, 354)(179, 376)(180, 375)(181, 329)(182, 345)(183, 346)(184, 347)(185, 350)(186, 334)(187, 351)(188, 352)(189, 337)(190, 338)(191, 359)(192, 360)(193, 341)(194, 342)(195, 363)(196, 364)(197, 367)(198, 368)(199, 371)(200, 372)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.2054
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 50 e = 200 f = 104
	degree seq :: [ 8^50 ]

E24.2056 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 50})
Quotient :: loop
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^50 ]
Map::
	R = (1, 201, 3, 203, 10, 210, 18, 218, 26, 226, 34, 234, 42, 242, 50, 250, 58, 258, 66, 266, 121, 321, 139, 339, 131, 331, 125, 325, 129, 329, 137, 337, 145, 345, 152, 352, 157, 357, 161, 361, 165, 365, 170, 370, 178, 378, 190, 390, 183, 383, 192, 392, 197, 397, 200, 400, 173, 373, 124, 324, 114, 314, 112, 312, 105, 305, 102, 302, 91, 291, 87, 287, 75, 275, 72, 272, 76, 276, 85, 285, 92, 292, 68, 268, 60, 260, 52, 252, 44, 244, 36, 236, 28, 228, 20, 220, 12, 212, 5, 205)(2, 202, 7, 207, 15, 215, 23, 223, 31, 231, 39, 239, 47, 247, 55, 255, 63, 263, 119, 319, 150, 350, 143, 343, 135, 335, 127, 327, 133, 333, 141, 341, 148, 348, 155, 355, 159, 359, 163, 363, 168, 368, 174, 374, 194, 394, 185, 385, 182, 382, 187, 387, 196, 396, 177, 377, 172, 372, 115, 315, 118, 318, 107, 307, 109, 309, 94, 294, 97, 297, 78, 278, 81, 281, 69, 269, 82, 282, 80, 280, 98, 298, 96, 296, 64, 264, 56, 256, 48, 248, 40, 240, 32, 232, 24, 224, 16, 216, 8, 208)(4, 204, 11, 211, 19, 219, 27, 227, 35, 235, 43, 243, 51, 251, 59, 259, 67, 267, 123, 323, 151, 351, 144, 344, 136, 336, 128, 328, 134, 334, 142, 342, 149, 349, 156, 356, 160, 360, 164, 364, 169, 369, 175, 375, 193, 393, 186, 386, 181, 381, 188, 388, 195, 395, 180, 380, 122, 322, 167, 367, 111, 311, 113, 313, 101, 301, 103, 303, 86, 286, 89, 289, 71, 271, 74, 274, 73, 273, 90, 290, 88, 288, 104, 304, 65, 265, 57, 257, 49, 249, 41, 241, 33, 233, 25, 225, 17, 217, 9, 209)(6, 206, 13, 213, 21, 221, 29, 229, 37, 237, 45, 245, 53, 253, 61, 261, 117, 317, 154, 354, 147, 347, 140, 340, 132, 332, 126, 326, 130, 330, 138, 338, 146, 346, 153, 353, 158, 358, 162, 362, 166, 366, 171, 371, 179, 379, 189, 389, 184, 384, 191, 391, 198, 398, 199, 399, 176, 376, 120, 320, 116, 316, 110, 310, 108, 308, 99, 299, 95, 295, 83, 283, 79, 279, 70, 270, 77, 277, 84, 284, 93, 293, 100, 300, 106, 306, 62, 262, 54, 254, 46, 246, 38, 238, 30, 230, 22, 222, 14, 214)
	L = (1, 202)(2, 206)(3, 209)(4, 201)(5, 211)(6, 204)(7, 205)(8, 203)(9, 213)(10, 216)(11, 214)(12, 215)(13, 208)(14, 207)(15, 222)(16, 221)(17, 210)(18, 225)(19, 212)(20, 227)(21, 217)(22, 219)(23, 220)(24, 218)(25, 229)(26, 232)(27, 230)(28, 231)(29, 224)(30, 223)(31, 238)(32, 237)(33, 226)(34, 241)(35, 228)(36, 243)(37, 233)(38, 235)(39, 236)(40, 234)(41, 245)(42, 248)(43, 246)(44, 247)(45, 240)(46, 239)(47, 254)(48, 253)(49, 242)(50, 257)(51, 244)(52, 259)(53, 249)(54, 251)(55, 252)(56, 250)(57, 261)(58, 264)(59, 262)(60, 263)(61, 256)(62, 255)(63, 306)(64, 317)(65, 258)(66, 304)(67, 260)(68, 323)(69, 325)(70, 327)(71, 329)(72, 328)(73, 331)(74, 326)(75, 333)(76, 335)(77, 336)(78, 337)(79, 334)(80, 339)(81, 330)(82, 332)(83, 341)(84, 343)(85, 344)(86, 345)(87, 342)(88, 321)(89, 338)(90, 340)(91, 348)(92, 350)(93, 351)(94, 352)(95, 349)(96, 266)(97, 346)(98, 347)(99, 355)(100, 319)(101, 357)(102, 356)(103, 353)(104, 354)(105, 359)(106, 267)(107, 361)(108, 360)(109, 358)(110, 363)(111, 365)(112, 364)(113, 362)(114, 368)(115, 370)(116, 369)(117, 265)(118, 366)(119, 268)(120, 374)(121, 298)(122, 378)(123, 300)(124, 375)(125, 274)(126, 269)(127, 272)(128, 270)(129, 281)(130, 271)(131, 282)(132, 273)(133, 279)(134, 275)(135, 277)(136, 276)(137, 289)(138, 278)(139, 290)(140, 280)(141, 287)(142, 283)(143, 285)(144, 284)(145, 297)(146, 286)(147, 288)(148, 295)(149, 291)(150, 293)(151, 292)(152, 303)(153, 294)(154, 296)(155, 302)(156, 299)(157, 309)(158, 301)(159, 308)(160, 305)(161, 313)(162, 307)(163, 312)(164, 310)(165, 318)(166, 311)(167, 371)(168, 316)(169, 314)(170, 367)(171, 315)(172, 379)(173, 394)(174, 324)(175, 320)(176, 393)(177, 390)(178, 372)(179, 322)(180, 389)(181, 397)(182, 398)(183, 396)(184, 395)(185, 400)(186, 399)(187, 392)(188, 391)(189, 377)(190, 380)(191, 387)(192, 388)(193, 373)(194, 376)(195, 383)(196, 384)(197, 382)(198, 381)(199, 385)(200, 386)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.2052
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 200 f = 150
	degree seq :: [ 100^4 ]

E24.2057 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 50})
Quotient :: loop
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^50 ]
Map:: polytopal non-degenerate
	R = (1, 201, 3, 203)(2, 202, 6, 206)(4, 204, 9, 209)(5, 205, 12, 212)(7, 207, 16, 216)(8, 208, 17, 217)(10, 210, 15, 215)(11, 211, 21, 221)(13, 213, 23, 223)(14, 214, 24, 224)(18, 218, 26, 226)(19, 219, 27, 227)(20, 220, 30, 230)(22, 222, 32, 232)(25, 225, 34, 234)(28, 228, 33, 233)(29, 229, 38, 238)(31, 231, 40, 240)(35, 235, 42, 242)(36, 236, 43, 243)(37, 237, 46, 246)(39, 239, 48, 248)(41, 241, 50, 250)(44, 244, 49, 249)(45, 245, 54, 254)(47, 247, 56, 256)(51, 251, 58, 258)(52, 252, 59, 259)(53, 253, 62, 262)(55, 255, 64, 264)(57, 257, 66, 266)(60, 260, 65, 265)(61, 261, 109, 309)(63, 263, 90, 290)(67, 267, 113, 313)(68, 268, 89, 289)(69, 269, 115, 315)(70, 270, 116, 316)(71, 271, 117, 317)(72, 272, 118, 318)(73, 273, 119, 319)(74, 274, 120, 320)(75, 275, 121, 321)(76, 276, 122, 322)(77, 277, 123, 323)(78, 278, 124, 324)(79, 279, 125, 325)(80, 280, 126, 326)(81, 281, 127, 327)(82, 282, 128, 328)(83, 283, 129, 329)(84, 284, 130, 330)(85, 285, 131, 331)(86, 286, 132, 332)(87, 287, 133, 333)(88, 288, 134, 334)(91, 291, 135, 335)(92, 292, 136, 336)(93, 293, 137, 337)(94, 294, 138, 338)(95, 295, 139, 339)(96, 296, 140, 340)(97, 297, 141, 341)(98, 298, 142, 342)(99, 299, 143, 343)(100, 300, 144, 344)(101, 301, 145, 345)(102, 302, 146, 346)(103, 303, 147, 347)(104, 304, 149, 349)(105, 305, 150, 350)(106, 306, 151, 351)(107, 307, 152, 352)(108, 308, 154, 354)(110, 310, 157, 357)(111, 311, 158, 358)(112, 312, 159, 359)(114, 314, 161, 361)(148, 348, 193, 393)(153, 353, 198, 398)(155, 355, 199, 399)(156, 356, 200, 400)(160, 360, 196, 396)(162, 362, 191, 391)(163, 363, 192, 392)(164, 364, 197, 397)(165, 365, 189, 389)(166, 366, 190, 390)(167, 367, 187, 387)(168, 368, 188, 388)(169, 369, 185, 385)(170, 370, 186, 386)(171, 371, 195, 395)(172, 372, 194, 394)(173, 373, 183, 383)(174, 374, 184, 384)(175, 375, 181, 381)(176, 376, 182, 382)(177, 377, 179, 379)(178, 378, 180, 380)
	L = (1, 202)(2, 205)(3, 207)(4, 201)(5, 211)(6, 213)(7, 215)(8, 203)(9, 218)(10, 204)(11, 220)(12, 208)(13, 209)(14, 206)(15, 225)(16, 223)(17, 224)(18, 227)(19, 210)(20, 229)(21, 214)(22, 212)(23, 217)(24, 232)(25, 233)(26, 216)(27, 235)(28, 219)(29, 237)(30, 222)(31, 221)(32, 240)(33, 241)(34, 226)(35, 243)(36, 228)(37, 245)(38, 231)(39, 230)(40, 248)(41, 249)(42, 234)(43, 251)(44, 236)(45, 253)(46, 239)(47, 238)(48, 256)(49, 257)(50, 242)(51, 259)(52, 244)(53, 261)(54, 247)(55, 246)(56, 264)(57, 265)(58, 250)(59, 267)(60, 252)(61, 277)(62, 255)(63, 254)(64, 290)(65, 273)(66, 258)(67, 289)(68, 260)(69, 282)(70, 288)(71, 274)(72, 291)(73, 283)(74, 279)(75, 280)(76, 281)(77, 271)(78, 295)(79, 286)(80, 276)(81, 287)(82, 278)(83, 269)(84, 275)(85, 299)(86, 293)(87, 294)(88, 272)(89, 270)(90, 284)(91, 285)(92, 303)(93, 297)(94, 298)(95, 292)(96, 307)(97, 301)(98, 302)(99, 296)(100, 312)(101, 305)(102, 306)(103, 300)(104, 348)(105, 310)(106, 311)(107, 304)(108, 353)(109, 263)(110, 355)(111, 356)(112, 308)(113, 266)(114, 360)(115, 316)(116, 319)(117, 321)(118, 315)(119, 313)(120, 326)(121, 309)(122, 317)(123, 330)(124, 318)(125, 322)(126, 323)(127, 320)(128, 334)(129, 268)(130, 262)(131, 324)(132, 327)(133, 325)(134, 329)(135, 328)(136, 331)(137, 333)(138, 332)(139, 335)(140, 336)(141, 338)(142, 337)(143, 339)(144, 340)(145, 342)(146, 341)(147, 343)(148, 314)(149, 344)(150, 346)(151, 345)(152, 347)(153, 364)(154, 349)(155, 372)(156, 371)(157, 351)(158, 350)(159, 352)(160, 363)(161, 354)(162, 368)(163, 367)(164, 362)(165, 369)(166, 370)(167, 374)(168, 373)(169, 375)(170, 376)(171, 366)(172, 365)(173, 378)(174, 377)(175, 379)(176, 380)(177, 382)(178, 381)(179, 383)(180, 384)(181, 386)(182, 385)(183, 387)(184, 388)(185, 390)(186, 389)(187, 391)(188, 392)(189, 395)(190, 394)(191, 396)(192, 397)(193, 359)(194, 400)(195, 399)(196, 398)(197, 361)(198, 393)(199, 358)(200, 357)
	local type(s) :: { ( 4, 50, 4, 50 ) }
Outer automorphisms :: reflexible
Dual of E24.2053
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 100 e = 200 f = 54
	degree seq :: [ 4^100 ]

E24.2058 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 50})
Quotient :: dipole
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 201, 2, 202)(3, 203, 7, 207)(4, 204, 9, 209)(5, 205, 10, 210)(6, 206, 12, 212)(8, 208, 11, 211)(13, 213, 17, 217)(14, 214, 18, 218)(15, 215, 19, 219)(16, 216, 20, 220)(21, 221, 25, 225)(22, 222, 26, 226)(23, 223, 27, 227)(24, 224, 28, 228)(29, 229, 33, 233)(30, 230, 34, 234)(31, 231, 35, 235)(32, 232, 36, 236)(37, 237, 61, 261)(38, 238, 62, 262)(39, 239, 63, 263)(40, 240, 64, 264)(41, 241, 65, 265)(42, 242, 66, 266)(43, 243, 67, 267)(44, 244, 68, 268)(45, 245, 69, 269)(46, 246, 70, 270)(47, 247, 71, 271)(48, 248, 72, 272)(49, 249, 73, 273)(50, 250, 74, 274)(51, 251, 75, 275)(52, 252, 76, 276)(53, 253, 77, 277)(54, 254, 78, 278)(55, 255, 79, 279)(56, 256, 80, 280)(57, 257, 81, 281)(58, 258, 82, 282)(59, 259, 83, 283)(60, 260, 84, 284)(85, 285, 109, 309)(86, 286, 110, 310)(87, 287, 111, 311)(88, 288, 112, 312)(89, 289, 113, 313)(90, 290, 114, 314)(91, 291, 115, 315)(92, 292, 116, 316)(93, 293, 117, 317)(94, 294, 118, 318)(95, 295, 119, 319)(96, 296, 120, 320)(97, 297, 121, 321)(98, 298, 122, 322)(99, 299, 123, 323)(100, 300, 124, 324)(101, 301, 125, 325)(102, 302, 126, 326)(103, 303, 127, 327)(104, 304, 128, 328)(105, 305, 129, 329)(106, 306, 130, 330)(107, 307, 131, 331)(108, 308, 132, 332)(133, 333, 157, 357)(134, 334, 158, 358)(135, 335, 159, 359)(136, 336, 160, 360)(137, 337, 161, 361)(138, 338, 162, 362)(139, 339, 163, 363)(140, 340, 164, 364)(141, 341, 165, 365)(142, 342, 166, 366)(143, 343, 167, 367)(144, 344, 168, 368)(145, 345, 169, 369)(146, 346, 170, 370)(147, 347, 171, 371)(148, 348, 172, 372)(149, 349, 173, 373)(150, 350, 174, 374)(151, 351, 175, 375)(152, 352, 176, 376)(153, 353, 177, 377)(154, 354, 178, 378)(155, 355, 179, 379)(156, 356, 180, 380)(181, 381, 199, 399)(182, 382, 200, 400)(183, 383, 195, 395)(184, 384, 193, 393)(185, 385, 197, 397)(186, 386, 198, 398)(187, 387, 192, 392)(188, 388, 196, 396)(189, 389, 190, 390)(191, 391, 194, 394)(401, 601, 403, 603, 408, 608, 404, 604)(402, 602, 405, 605, 411, 611, 406, 606)(407, 607, 413, 613, 409, 609, 414, 614)(410, 610, 415, 615, 412, 612, 416, 616)(417, 617, 421, 621, 418, 618, 422, 622)(419, 619, 423, 623, 420, 620, 424, 624)(425, 625, 429, 629, 426, 626, 430, 630)(427, 627, 431, 631, 428, 628, 432, 632)(433, 633, 437, 637, 434, 634, 438, 638)(435, 635, 441, 641, 436, 636, 442, 642)(439, 639, 461, 661, 444, 644, 462, 662)(440, 640, 465, 665, 447, 647, 466, 666)(443, 643, 468, 668, 445, 645, 463, 663)(446, 646, 471, 671, 448, 648, 464, 664)(449, 649, 469, 669, 450, 650, 467, 667)(451, 651, 472, 672, 452, 652, 470, 670)(453, 653, 474, 674, 454, 654, 473, 673)(455, 655, 476, 676, 456, 656, 475, 675)(457, 657, 478, 678, 458, 658, 477, 677)(459, 659, 480, 680, 460, 660, 479, 679)(481, 681, 485, 685, 482, 682, 486, 686)(483, 683, 489, 689, 484, 684, 490, 690)(487, 687, 509, 709, 492, 692, 510, 710)(488, 688, 513, 713, 495, 695, 514, 714)(491, 691, 516, 716, 493, 693, 511, 711)(494, 694, 519, 719, 496, 696, 512, 712)(497, 697, 517, 717, 498, 698, 515, 715)(499, 699, 520, 720, 500, 700, 518, 718)(501, 701, 522, 722, 502, 702, 521, 721)(503, 703, 524, 724, 504, 704, 523, 723)(505, 705, 526, 726, 506, 706, 525, 725)(507, 707, 528, 728, 508, 708, 527, 727)(529, 729, 533, 733, 530, 730, 534, 734)(531, 731, 537, 737, 532, 732, 538, 738)(535, 735, 557, 757, 540, 740, 558, 758)(536, 736, 561, 761, 543, 743, 562, 762)(539, 739, 564, 764, 541, 741, 559, 759)(542, 742, 567, 767, 544, 744, 560, 760)(545, 745, 565, 765, 546, 746, 563, 763)(547, 747, 568, 768, 548, 748, 566, 766)(549, 749, 570, 770, 550, 750, 569, 769)(551, 751, 572, 772, 552, 752, 571, 771)(553, 753, 574, 774, 554, 754, 573, 773)(555, 755, 576, 776, 556, 756, 575, 775)(577, 777, 581, 781, 578, 778, 582, 782)(579, 779, 585, 785, 580, 780, 586, 786)(583, 783, 599, 799, 588, 788, 600, 800)(584, 784, 597, 797, 591, 791, 598, 798)(587, 787, 596, 796, 589, 789, 595, 795)(590, 790, 594, 794, 592, 792, 593, 793)
	L = (1, 402)(2, 401)(3, 407)(4, 409)(5, 410)(6, 412)(7, 403)(8, 411)(9, 404)(10, 405)(11, 408)(12, 406)(13, 417)(14, 418)(15, 419)(16, 420)(17, 413)(18, 414)(19, 415)(20, 416)(21, 425)(22, 426)(23, 427)(24, 428)(25, 421)(26, 422)(27, 423)(28, 424)(29, 433)(30, 434)(31, 435)(32, 436)(33, 429)(34, 430)(35, 431)(36, 432)(37, 461)(38, 462)(39, 463)(40, 464)(41, 465)(42, 466)(43, 467)(44, 468)(45, 469)(46, 470)(47, 471)(48, 472)(49, 473)(50, 474)(51, 475)(52, 476)(53, 477)(54, 478)(55, 479)(56, 480)(57, 481)(58, 482)(59, 483)(60, 484)(61, 437)(62, 438)(63, 439)(64, 440)(65, 441)(66, 442)(67, 443)(68, 444)(69, 445)(70, 446)(71, 447)(72, 448)(73, 449)(74, 450)(75, 451)(76, 452)(77, 453)(78, 454)(79, 455)(80, 456)(81, 457)(82, 458)(83, 459)(84, 460)(85, 509)(86, 510)(87, 511)(88, 512)(89, 513)(90, 514)(91, 515)(92, 516)(93, 517)(94, 518)(95, 519)(96, 520)(97, 521)(98, 522)(99, 523)(100, 524)(101, 525)(102, 526)(103, 527)(104, 528)(105, 529)(106, 530)(107, 531)(108, 532)(109, 485)(110, 486)(111, 487)(112, 488)(113, 489)(114, 490)(115, 491)(116, 492)(117, 493)(118, 494)(119, 495)(120, 496)(121, 497)(122, 498)(123, 499)(124, 500)(125, 501)(126, 502)(127, 503)(128, 504)(129, 505)(130, 506)(131, 507)(132, 508)(133, 557)(134, 558)(135, 559)(136, 560)(137, 561)(138, 562)(139, 563)(140, 564)(141, 565)(142, 566)(143, 567)(144, 568)(145, 569)(146, 570)(147, 571)(148, 572)(149, 573)(150, 574)(151, 575)(152, 576)(153, 577)(154, 578)(155, 579)(156, 580)(157, 533)(158, 534)(159, 535)(160, 536)(161, 537)(162, 538)(163, 539)(164, 540)(165, 541)(166, 542)(167, 543)(168, 544)(169, 545)(170, 546)(171, 547)(172, 548)(173, 549)(174, 550)(175, 551)(176, 552)(177, 553)(178, 554)(179, 555)(180, 556)(181, 599)(182, 600)(183, 595)(184, 593)(185, 597)(186, 598)(187, 592)(188, 596)(189, 590)(190, 589)(191, 594)(192, 587)(193, 584)(194, 591)(195, 583)(196, 588)(197, 585)(198, 586)(199, 581)(200, 582)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.2061
Graph:: bipartite
	v = 150 e = 400 f = 204
	degree seq :: [ 4^100, 8^50 ]

E24.2059 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 50})
Quotient :: dipole
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^4, Y2^50 ]
Map::
	R = (1, 201, 2, 202, 6, 206, 4, 204)(3, 203, 9, 209, 13, 213, 8, 208)(5, 205, 11, 211, 14, 214, 7, 207)(10, 210, 16, 216, 21, 221, 17, 217)(12, 212, 15, 215, 22, 222, 19, 219)(18, 218, 25, 225, 29, 229, 24, 224)(20, 220, 27, 227, 30, 230, 23, 223)(26, 226, 32, 232, 37, 237, 33, 233)(28, 228, 31, 231, 38, 238, 35, 235)(34, 234, 41, 241, 45, 245, 40, 240)(36, 236, 43, 243, 46, 246, 39, 239)(42, 242, 48, 248, 53, 253, 49, 249)(44, 244, 47, 247, 54, 254, 51, 251)(50, 250, 57, 257, 61, 261, 56, 256)(52, 252, 59, 259, 62, 262, 55, 255)(58, 258, 64, 264, 99, 299, 65, 265)(60, 260, 63, 263, 114, 314, 67, 267)(66, 266, 117, 317, 91, 291, 142, 342)(68, 268, 95, 295, 139, 339, 86, 286)(69, 269, 119, 319, 74, 274, 120, 320)(70, 270, 121, 321, 72, 272, 122, 322)(71, 271, 123, 323, 81, 281, 124, 324)(73, 273, 125, 325, 82, 282, 126, 326)(75, 275, 127, 327, 79, 279, 128, 328)(76, 276, 129, 329, 77, 277, 130, 330)(78, 278, 131, 331, 89, 289, 132, 332)(80, 280, 133, 333, 90, 290, 134, 334)(83, 283, 135, 335, 87, 287, 136, 336)(84, 284, 137, 337, 85, 285, 138, 338)(88, 288, 140, 340, 96, 296, 141, 341)(92, 292, 143, 343, 93, 293, 144, 344)(94, 294, 145, 345, 101, 301, 146, 346)(97, 297, 147, 347, 98, 298, 148, 348)(100, 300, 149, 349, 105, 305, 150, 350)(102, 302, 151, 351, 103, 303, 152, 352)(104, 304, 153, 353, 109, 309, 154, 354)(106, 306, 155, 355, 107, 307, 156, 356)(108, 308, 157, 357, 113, 313, 159, 359)(110, 310, 160, 360, 111, 311, 161, 361)(112, 312, 162, 362, 158, 358, 164, 364)(115, 315, 165, 365, 116, 316, 167, 367)(118, 318, 169, 369, 163, 363, 171, 371)(166, 366, 200, 400, 168, 368, 199, 399)(170, 370, 198, 398, 184, 384, 197, 397)(172, 372, 189, 389, 173, 373, 190, 390)(174, 374, 186, 386, 175, 375, 185, 385)(176, 376, 194, 394, 177, 377, 193, 393)(178, 378, 183, 383, 179, 379, 182, 382)(180, 380, 191, 391, 181, 381, 192, 392)(187, 387, 196, 396, 188, 388, 195, 395)(401, 601, 403, 603, 410, 610, 418, 618, 426, 626, 434, 634, 442, 642, 450, 650, 458, 658, 466, 666, 483, 683, 479, 679, 470, 670, 477, 677, 484, 684, 493, 693, 497, 697, 503, 703, 506, 706, 511, 711, 515, 715, 566, 766, 587, 787, 581, 781, 574, 774, 583, 783, 589, 789, 594, 794, 597, 797, 569, 769, 562, 762, 557, 757, 553, 753, 549, 749, 545, 745, 540, 740, 533, 733, 525, 725, 519, 719, 523, 723, 531, 731, 468, 668, 460, 660, 452, 652, 444, 644, 436, 636, 428, 628, 420, 620, 412, 612, 405, 605)(402, 602, 407, 607, 415, 615, 423, 623, 431, 631, 439, 639, 447, 647, 455, 655, 463, 663, 486, 686, 489, 689, 471, 671, 474, 674, 473, 673, 490, 690, 488, 688, 501, 701, 500, 700, 509, 709, 508, 708, 558, 758, 518, 718, 570, 770, 576, 776, 573, 773, 578, 778, 586, 786, 591, 791, 596, 796, 599, 799, 565, 765, 560, 760, 555, 755, 551, 751, 547, 747, 543, 743, 537, 737, 529, 729, 521, 721, 527, 727, 535, 735, 542, 742, 464, 664, 456, 656, 448, 648, 440, 640, 432, 632, 424, 624, 416, 616, 408, 608)(404, 604, 411, 611, 419, 619, 427, 627, 435, 635, 443, 643, 451, 651, 459, 659, 467, 667, 495, 695, 478, 678, 481, 681, 469, 669, 482, 682, 480, 680, 496, 696, 494, 694, 505, 705, 504, 704, 513, 713, 512, 712, 563, 763, 584, 784, 577, 777, 572, 772, 579, 779, 585, 785, 592, 792, 595, 795, 600, 800, 567, 767, 561, 761, 556, 756, 552, 752, 548, 748, 544, 744, 538, 738, 530, 730, 522, 722, 528, 728, 536, 736, 517, 717, 465, 665, 457, 657, 449, 649, 441, 641, 433, 633, 425, 625, 417, 617, 409, 609)(406, 606, 413, 613, 421, 621, 429, 629, 437, 637, 445, 645, 453, 653, 461, 661, 499, 699, 491, 691, 487, 687, 475, 675, 472, 672, 476, 676, 485, 685, 492, 692, 498, 698, 502, 702, 507, 707, 510, 710, 516, 716, 568, 768, 588, 788, 580, 780, 575, 775, 582, 782, 590, 790, 593, 793, 598, 798, 571, 771, 564, 764, 559, 759, 554, 754, 550, 750, 546, 746, 541, 741, 534, 734, 526, 726, 520, 720, 524, 724, 532, 732, 539, 739, 514, 714, 462, 662, 454, 654, 446, 646, 438, 638, 430, 630, 422, 622, 414, 614)
	L = (1, 403)(2, 407)(3, 410)(4, 411)(5, 401)(6, 413)(7, 415)(8, 402)(9, 404)(10, 418)(11, 419)(12, 405)(13, 421)(14, 406)(15, 423)(16, 408)(17, 409)(18, 426)(19, 427)(20, 412)(21, 429)(22, 414)(23, 431)(24, 416)(25, 417)(26, 434)(27, 435)(28, 420)(29, 437)(30, 422)(31, 439)(32, 424)(33, 425)(34, 442)(35, 443)(36, 428)(37, 445)(38, 430)(39, 447)(40, 432)(41, 433)(42, 450)(43, 451)(44, 436)(45, 453)(46, 438)(47, 455)(48, 440)(49, 441)(50, 458)(51, 459)(52, 444)(53, 461)(54, 446)(55, 463)(56, 448)(57, 449)(58, 466)(59, 467)(60, 452)(61, 499)(62, 454)(63, 486)(64, 456)(65, 457)(66, 483)(67, 495)(68, 460)(69, 482)(70, 477)(71, 474)(72, 476)(73, 490)(74, 473)(75, 472)(76, 485)(77, 484)(78, 481)(79, 470)(80, 496)(81, 469)(82, 480)(83, 479)(84, 493)(85, 492)(86, 489)(87, 475)(88, 501)(89, 471)(90, 488)(91, 487)(92, 498)(93, 497)(94, 505)(95, 478)(96, 494)(97, 503)(98, 502)(99, 491)(100, 509)(101, 500)(102, 507)(103, 506)(104, 513)(105, 504)(106, 511)(107, 510)(108, 558)(109, 508)(110, 516)(111, 515)(112, 563)(113, 512)(114, 462)(115, 566)(116, 568)(117, 465)(118, 570)(119, 523)(120, 524)(121, 527)(122, 528)(123, 531)(124, 532)(125, 519)(126, 520)(127, 535)(128, 536)(129, 521)(130, 522)(131, 468)(132, 539)(133, 525)(134, 526)(135, 542)(136, 517)(137, 529)(138, 530)(139, 514)(140, 533)(141, 534)(142, 464)(143, 537)(144, 538)(145, 540)(146, 541)(147, 543)(148, 544)(149, 545)(150, 546)(151, 547)(152, 548)(153, 549)(154, 550)(155, 551)(156, 552)(157, 553)(158, 518)(159, 554)(160, 555)(161, 556)(162, 557)(163, 584)(164, 559)(165, 560)(166, 587)(167, 561)(168, 588)(169, 562)(170, 576)(171, 564)(172, 579)(173, 578)(174, 583)(175, 582)(176, 573)(177, 572)(178, 586)(179, 585)(180, 575)(181, 574)(182, 590)(183, 589)(184, 577)(185, 592)(186, 591)(187, 581)(188, 580)(189, 594)(190, 593)(191, 596)(192, 595)(193, 598)(194, 597)(195, 600)(196, 599)(197, 569)(198, 571)(199, 565)(200, 567)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.2060
Graph:: bipartite
	v = 54 e = 400 f = 300
	degree seq :: [ 8^50, 100^4 ]

E24.2060 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 50})
Quotient :: dipole
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^50 ]
Map:: polytopal
	R = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)(401, 601, 402, 602)(403, 603, 407, 607)(404, 604, 409, 609)(405, 605, 411, 611)(406, 606, 413, 613)(408, 608, 414, 614)(410, 610, 412, 612)(415, 615, 420, 620)(416, 616, 423, 623)(417, 617, 425, 625)(418, 618, 421, 621)(419, 619, 427, 627)(422, 622, 429, 629)(424, 624, 431, 631)(426, 626, 432, 632)(428, 628, 430, 630)(433, 633, 439, 639)(434, 634, 441, 641)(435, 635, 437, 637)(436, 636, 443, 643)(438, 638, 445, 645)(440, 640, 447, 647)(442, 642, 448, 648)(444, 644, 446, 646)(449, 649, 455, 655)(450, 650, 457, 657)(451, 651, 453, 653)(452, 652, 459, 659)(454, 654, 461, 661)(456, 656, 463, 663)(458, 658, 464, 664)(460, 660, 462, 662)(465, 665, 527, 727)(466, 666, 519, 719)(467, 667, 522, 722)(468, 668, 531, 731)(469, 669, 533, 733)(470, 670, 534, 734)(471, 671, 535, 735)(472, 672, 536, 736)(473, 673, 537, 737)(474, 674, 538, 738)(475, 675, 539, 739)(476, 676, 540, 740)(477, 677, 541, 741)(478, 678, 542, 742)(479, 679, 543, 743)(480, 680, 544, 744)(481, 681, 545, 745)(482, 682, 546, 746)(483, 683, 547, 747)(484, 684, 548, 748)(485, 685, 549, 749)(486, 686, 550, 750)(487, 687, 551, 751)(488, 688, 552, 752)(489, 689, 553, 753)(490, 690, 554, 754)(491, 691, 555, 755)(492, 692, 556, 756)(493, 693, 557, 757)(494, 694, 558, 758)(495, 695, 559, 759)(496, 696, 560, 760)(497, 697, 561, 761)(498, 698, 562, 762)(499, 699, 563, 763)(500, 700, 564, 764)(501, 701, 565, 765)(502, 702, 566, 766)(503, 703, 567, 767)(504, 704, 568, 768)(505, 705, 569, 769)(506, 706, 570, 770)(507, 707, 571, 771)(508, 708, 572, 772)(509, 709, 573, 773)(510, 710, 574, 774)(511, 711, 575, 775)(512, 712, 576, 776)(513, 713, 529, 729)(514, 714, 577, 777)(515, 715, 578, 778)(516, 716, 525, 725)(517, 717, 579, 779)(518, 718, 581, 781)(520, 720, 582, 782)(521, 721, 583, 783)(523, 723, 584, 784)(524, 724, 586, 786)(526, 726, 589, 789)(528, 728, 590, 790)(530, 730, 593, 793)(532, 732, 594, 794)(580, 780, 595, 795)(585, 785, 598, 798)(587, 787, 597, 797)(588, 788, 596, 796)(591, 791, 599, 799)(592, 792, 600, 800)
	L = (1, 403)(2, 405)(3, 408)(4, 401)(5, 412)(6, 402)(7, 415)(8, 417)(9, 418)(10, 404)(11, 420)(12, 422)(13, 423)(14, 406)(15, 409)(16, 407)(17, 426)(18, 427)(19, 410)(20, 413)(21, 411)(22, 430)(23, 431)(24, 414)(25, 416)(26, 434)(27, 435)(28, 419)(29, 421)(30, 438)(31, 439)(32, 424)(33, 425)(34, 442)(35, 443)(36, 428)(37, 429)(38, 446)(39, 447)(40, 432)(41, 433)(42, 450)(43, 451)(44, 436)(45, 437)(46, 454)(47, 455)(48, 440)(49, 441)(50, 458)(51, 459)(52, 444)(53, 445)(54, 462)(55, 463)(56, 448)(57, 449)(58, 466)(59, 467)(60, 452)(61, 453)(62, 525)(63, 527)(64, 456)(65, 457)(66, 529)(67, 531)(68, 460)(69, 479)(70, 475)(71, 488)(72, 489)(73, 483)(74, 484)(75, 482)(76, 481)(77, 470)(78, 497)(79, 478)(80, 477)(81, 469)(82, 493)(83, 474)(84, 492)(85, 491)(86, 473)(87, 505)(88, 472)(89, 487)(90, 486)(91, 471)(92, 501)(93, 500)(94, 499)(95, 480)(96, 513)(97, 496)(98, 495)(99, 476)(100, 509)(101, 508)(102, 507)(103, 490)(104, 519)(105, 504)(106, 503)(107, 485)(108, 516)(109, 468)(110, 515)(111, 498)(112, 464)(113, 512)(114, 511)(115, 494)(116, 522)(117, 521)(118, 506)(119, 465)(120, 518)(121, 502)(122, 461)(123, 528)(124, 514)(125, 573)(126, 524)(127, 576)(128, 510)(129, 569)(130, 580)(131, 572)(132, 520)(133, 535)(134, 537)(135, 540)(136, 533)(137, 544)(138, 534)(139, 547)(140, 549)(141, 550)(142, 536)(143, 552)(144, 554)(145, 555)(146, 538)(147, 541)(148, 539)(149, 558)(150, 559)(151, 542)(152, 545)(153, 543)(154, 562)(155, 563)(156, 546)(157, 548)(158, 566)(159, 567)(160, 551)(161, 553)(162, 570)(163, 571)(164, 556)(165, 557)(166, 574)(167, 575)(168, 560)(169, 561)(170, 577)(171, 578)(172, 564)(173, 565)(174, 579)(175, 581)(176, 568)(177, 582)(178, 583)(179, 584)(180, 517)(181, 586)(182, 589)(183, 590)(184, 593)(185, 523)(186, 594)(187, 532)(188, 526)(189, 597)(190, 595)(191, 585)(192, 530)(193, 599)(194, 596)(195, 598)(196, 591)(197, 592)(198, 600)(199, 587)(200, 588)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 8, 100 ), ( 8, 100, 8, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.2059
Graph:: simple bipartite
	v = 300 e = 400 f = 54
	degree seq :: [ 2^200, 4^100 ]

E24.2061 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 50})
Quotient :: dipole
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1)^4, Y1^50 ]
Map:: polytopal
	R = (1, 201, 2, 202, 5, 205, 11, 211, 20, 220, 29, 229, 37, 237, 45, 245, 53, 253, 61, 261, 73, 273, 77, 277, 81, 281, 86, 286, 90, 290, 94, 294, 98, 298, 103, 303, 140, 340, 147, 347, 151, 351, 155, 355, 159, 359, 163, 363, 167, 367, 172, 372, 179, 379, 199, 399, 195, 395, 191, 391, 187, 387, 183, 383, 145, 345, 138, 338, 133, 333, 128, 328, 124, 324, 120, 320, 115, 315, 111, 311, 108, 308, 68, 268, 60, 260, 52, 252, 44, 244, 36, 236, 28, 228, 19, 219, 10, 210, 4, 204)(3, 203, 7, 207, 15, 215, 25, 225, 33, 233, 41, 241, 49, 249, 57, 257, 65, 265, 82, 282, 71, 271, 83, 283, 79, 279, 91, 291, 88, 288, 99, 299, 96, 296, 132, 332, 106, 306, 144, 344, 149, 349, 154, 354, 157, 357, 162, 362, 165, 365, 171, 371, 175, 375, 184, 384, 197, 397, 194, 394, 189, 389, 186, 386, 178, 378, 141, 341, 135, 335, 129, 329, 126, 326, 121, 321, 117, 317, 112, 312, 110, 310, 107, 307, 62, 262, 55, 255, 46, 246, 39, 239, 30, 230, 22, 222, 12, 212, 8, 208)(6, 206, 13, 213, 9, 209, 18, 218, 27, 227, 35, 235, 43, 243, 51, 251, 59, 259, 67, 267, 69, 269, 78, 278, 75, 275, 87, 287, 84, 284, 95, 295, 92, 292, 104, 304, 100, 300, 137, 337, 146, 346, 150, 350, 153, 353, 158, 358, 161, 361, 166, 366, 170, 370, 176, 376, 182, 382, 198, 398, 193, 393, 190, 390, 185, 385, 177, 377, 142, 342, 134, 334, 130, 330, 125, 325, 122, 322, 116, 316, 113, 313, 109, 309, 101, 301, 63, 263, 54, 254, 47, 247, 38, 238, 31, 231, 21, 221, 14, 214)(16, 216, 23, 223, 17, 217, 24, 224, 32, 232, 40, 240, 48, 248, 56, 256, 64, 264, 74, 274, 70, 270, 72, 272, 76, 276, 80, 280, 85, 285, 89, 289, 93, 293, 97, 297, 102, 302, 139, 339, 148, 348, 152, 352, 156, 356, 160, 360, 164, 364, 168, 368, 173, 373, 180, 380, 200, 400, 196, 396, 192, 392, 188, 388, 181, 381, 174, 374, 169, 369, 143, 343, 136, 336, 131, 331, 127, 327, 123, 323, 119, 319, 114, 314, 118, 318, 105, 305, 66, 266, 58, 258, 50, 250, 42, 242, 34, 234, 26, 226)(401, 601)(402, 602)(403, 603)(404, 604)(405, 605)(406, 606)(407, 607)(408, 608)(409, 609)(410, 610)(411, 611)(412, 612)(413, 613)(414, 614)(415, 615)(416, 616)(417, 617)(418, 618)(419, 619)(420, 620)(421, 621)(422, 622)(423, 623)(424, 624)(425, 625)(426, 626)(427, 627)(428, 628)(429, 629)(430, 630)(431, 631)(432, 632)(433, 633)(434, 634)(435, 635)(436, 636)(437, 637)(438, 638)(439, 639)(440, 640)(441, 641)(442, 642)(443, 643)(444, 644)(445, 645)(446, 646)(447, 647)(448, 648)(449, 649)(450, 650)(451, 651)(452, 652)(453, 653)(454, 654)(455, 655)(456, 656)(457, 657)(458, 658)(459, 659)(460, 660)(461, 661)(462, 662)(463, 663)(464, 664)(465, 665)(466, 666)(467, 667)(468, 668)(469, 669)(470, 670)(471, 671)(472, 672)(473, 673)(474, 674)(475, 675)(476, 676)(477, 677)(478, 678)(479, 679)(480, 680)(481, 681)(482, 682)(483, 683)(484, 684)(485, 685)(486, 686)(487, 687)(488, 688)(489, 689)(490, 690)(491, 691)(492, 692)(493, 693)(494, 694)(495, 695)(496, 696)(497, 697)(498, 698)(499, 699)(500, 700)(501, 701)(502, 702)(503, 703)(504, 704)(505, 705)(506, 706)(507, 707)(508, 708)(509, 709)(510, 710)(511, 711)(512, 712)(513, 713)(514, 714)(515, 715)(516, 716)(517, 717)(518, 718)(519, 719)(520, 720)(521, 721)(522, 722)(523, 723)(524, 724)(525, 725)(526, 726)(527, 727)(528, 728)(529, 729)(530, 730)(531, 731)(532, 732)(533, 733)(534, 734)(535, 735)(536, 736)(537, 737)(538, 738)(539, 739)(540, 740)(541, 741)(542, 742)(543, 743)(544, 744)(545, 745)(546, 746)(547, 747)(548, 748)(549, 749)(550, 750)(551, 751)(552, 752)(553, 753)(554, 754)(555, 755)(556, 756)(557, 757)(558, 758)(559, 759)(560, 760)(561, 761)(562, 762)(563, 763)(564, 764)(565, 765)(566, 766)(567, 767)(568, 768)(569, 769)(570, 770)(571, 771)(572, 772)(573, 773)(574, 774)(575, 775)(576, 776)(577, 777)(578, 778)(579, 779)(580, 780)(581, 781)(582, 782)(583, 783)(584, 784)(585, 785)(586, 786)(587, 787)(588, 788)(589, 789)(590, 790)(591, 791)(592, 792)(593, 793)(594, 794)(595, 795)(596, 796)(597, 797)(598, 798)(599, 799)(600, 800)
	L = (1, 403)(2, 406)(3, 401)(4, 409)(5, 412)(6, 402)(7, 416)(8, 417)(9, 404)(10, 415)(11, 421)(12, 405)(13, 423)(14, 424)(15, 410)(16, 407)(17, 408)(18, 426)(19, 427)(20, 430)(21, 411)(22, 432)(23, 413)(24, 414)(25, 434)(26, 418)(27, 419)(28, 433)(29, 438)(30, 420)(31, 440)(32, 422)(33, 428)(34, 425)(35, 442)(36, 443)(37, 446)(38, 429)(39, 448)(40, 431)(41, 450)(42, 435)(43, 436)(44, 449)(45, 454)(46, 437)(47, 456)(48, 439)(49, 444)(50, 441)(51, 458)(52, 459)(53, 462)(54, 445)(55, 464)(56, 447)(57, 466)(58, 451)(59, 452)(60, 465)(61, 501)(62, 453)(63, 474)(64, 455)(65, 460)(66, 457)(67, 505)(68, 469)(69, 468)(70, 507)(71, 508)(72, 509)(73, 510)(74, 463)(75, 511)(76, 512)(77, 513)(78, 514)(79, 515)(80, 516)(81, 517)(82, 518)(83, 519)(84, 520)(85, 521)(86, 522)(87, 523)(88, 524)(89, 525)(90, 526)(91, 527)(92, 528)(93, 529)(94, 530)(95, 531)(96, 533)(97, 534)(98, 535)(99, 536)(100, 538)(101, 461)(102, 541)(103, 542)(104, 543)(105, 467)(106, 545)(107, 470)(108, 471)(109, 472)(110, 473)(111, 475)(112, 476)(113, 477)(114, 478)(115, 479)(116, 480)(117, 481)(118, 482)(119, 483)(120, 484)(121, 485)(122, 486)(123, 487)(124, 488)(125, 489)(126, 490)(127, 491)(128, 492)(129, 493)(130, 494)(131, 495)(132, 569)(133, 496)(134, 497)(135, 498)(136, 499)(137, 574)(138, 500)(139, 577)(140, 578)(141, 502)(142, 503)(143, 504)(144, 581)(145, 506)(146, 583)(147, 585)(148, 586)(149, 587)(150, 588)(151, 589)(152, 590)(153, 591)(154, 592)(155, 593)(156, 594)(157, 595)(158, 596)(159, 597)(160, 598)(161, 599)(162, 600)(163, 582)(164, 584)(165, 579)(166, 580)(167, 575)(168, 576)(169, 532)(170, 572)(171, 573)(172, 570)(173, 571)(174, 537)(175, 567)(176, 568)(177, 539)(178, 540)(179, 565)(180, 566)(181, 544)(182, 563)(183, 546)(184, 564)(185, 547)(186, 548)(187, 549)(188, 550)(189, 551)(190, 552)(191, 553)(192, 554)(193, 555)(194, 556)(195, 557)(196, 558)(197, 559)(198, 560)(199, 561)(200, 562)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.2058
Graph:: simple bipartite
	v = 204 e = 400 f = 150
	degree seq :: [ 2^200, 100^4 ]

E24.2062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 50})
Quotient :: dipole
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^50 ]
Map::
	R = (1, 201, 2, 202)(3, 203, 7, 207)(4, 204, 9, 209)(5, 205, 11, 211)(6, 206, 13, 213)(8, 208, 14, 214)(10, 210, 12, 212)(15, 215, 20, 220)(16, 216, 23, 223)(17, 217, 25, 225)(18, 218, 21, 221)(19, 219, 27, 227)(22, 222, 29, 229)(24, 224, 31, 231)(26, 226, 32, 232)(28, 228, 30, 230)(33, 233, 39, 239)(34, 234, 41, 241)(35, 235, 37, 237)(36, 236, 43, 243)(38, 238, 45, 245)(40, 240, 47, 247)(42, 242, 48, 248)(44, 244, 46, 246)(49, 249, 55, 255)(50, 250, 57, 257)(51, 251, 53, 253)(52, 252, 59, 259)(54, 254, 61, 261)(56, 256, 63, 263)(58, 258, 64, 264)(60, 260, 62, 262)(65, 265, 69, 269)(66, 266, 99, 299)(67, 267, 101, 301)(68, 268, 71, 271)(70, 270, 104, 304)(72, 272, 107, 307)(73, 273, 109, 309)(74, 274, 111, 311)(75, 275, 113, 313)(76, 276, 115, 315)(77, 277, 117, 317)(78, 278, 119, 319)(79, 279, 121, 321)(80, 280, 123, 323)(81, 281, 125, 325)(82, 282, 127, 327)(83, 283, 129, 329)(84, 284, 131, 331)(85, 285, 133, 333)(86, 286, 135, 335)(87, 287, 137, 337)(88, 288, 139, 339)(89, 289, 141, 341)(90, 290, 143, 343)(91, 291, 145, 345)(92, 292, 147, 347)(93, 293, 149, 349)(94, 294, 151, 351)(95, 295, 153, 353)(96, 296, 155, 355)(97, 297, 157, 357)(98, 298, 159, 359)(100, 300, 161, 361)(102, 302, 163, 363)(103, 303, 165, 365)(105, 305, 167, 367)(106, 306, 169, 369)(108, 308, 171, 371)(110, 310, 173, 373)(112, 312, 175, 375)(114, 314, 177, 377)(116, 316, 179, 379)(118, 318, 181, 381)(120, 320, 183, 383)(122, 322, 185, 385)(124, 324, 187, 387)(126, 326, 189, 389)(128, 328, 191, 391)(130, 330, 193, 393)(132, 332, 195, 395)(134, 334, 194, 394)(136, 336, 197, 397)(138, 338, 196, 396)(140, 340, 199, 399)(142, 342, 198, 398)(144, 344, 200, 400)(146, 346, 182, 382)(148, 348, 186, 386)(150, 350, 178, 378)(152, 352, 190, 390)(154, 354, 180, 380)(156, 356, 192, 392)(158, 358, 184, 384)(160, 360, 188, 388)(162, 362, 170, 370)(164, 364, 172, 372)(166, 366, 176, 376)(168, 368, 174, 374)(401, 601, 403, 603, 408, 608, 417, 617, 426, 626, 434, 634, 442, 642, 450, 650, 458, 658, 466, 666, 478, 678, 482, 682, 486, 686, 490, 690, 494, 694, 498, 698, 503, 703, 505, 705, 508, 708, 514, 714, 522, 722, 530, 730, 538, 738, 546, 746, 554, 754, 562, 762, 584, 784, 592, 792, 598, 798, 599, 799, 589, 789, 587, 787, 575, 775, 573, 773, 563, 763, 549, 749, 547, 747, 533, 733, 531, 731, 517, 717, 515, 715, 468, 668, 460, 660, 452, 652, 444, 644, 436, 636, 428, 628, 419, 619, 410, 610, 404, 604)(402, 602, 405, 605, 412, 612, 422, 622, 430, 630, 438, 638, 446, 646, 454, 654, 462, 662, 473, 673, 476, 676, 480, 680, 484, 684, 488, 688, 492, 692, 496, 696, 502, 702, 506, 706, 512, 712, 518, 718, 526, 726, 534, 734, 542, 742, 550, 750, 558, 758, 574, 774, 580, 780, 588, 788, 596, 796, 600, 800, 585, 785, 591, 791, 571, 771, 561, 761, 565, 765, 545, 745, 551, 751, 529, 729, 535, 735, 513, 713, 519, 719, 504, 704, 464, 664, 456, 656, 448, 648, 440, 640, 432, 632, 424, 624, 414, 614, 406, 606)(407, 607, 415, 615, 409, 609, 418, 618, 427, 627, 435, 635, 443, 643, 451, 651, 459, 659, 467, 667, 471, 671, 474, 674, 477, 677, 481, 681, 485, 685, 489, 689, 493, 693, 497, 697, 510, 710, 516, 716, 524, 724, 532, 732, 540, 740, 548, 748, 556, 756, 564, 764, 570, 770, 576, 776, 582, 782, 590, 790, 593, 793, 597, 797, 577, 777, 583, 783, 567, 767, 553, 753, 559, 759, 537, 737, 543, 743, 521, 721, 527, 727, 507, 707, 499, 699, 465, 665, 457, 657, 449, 649, 441, 641, 433, 633, 425, 625, 416, 616)(411, 611, 420, 620, 413, 613, 423, 623, 431, 631, 439, 639, 447, 647, 455, 655, 463, 663, 469, 669, 470, 670, 472, 672, 475, 675, 479, 679, 483, 683, 487, 687, 491, 691, 495, 695, 500, 700, 520, 720, 528, 728, 536, 736, 544, 744, 552, 752, 560, 760, 566, 766, 568, 768, 572, 772, 578, 778, 586, 786, 594, 794, 595, 795, 581, 781, 579, 779, 569, 769, 557, 757, 555, 755, 541, 741, 539, 739, 525, 725, 523, 723, 511, 711, 509, 709, 501, 701, 461, 661, 453, 653, 445, 645, 437, 637, 429, 629, 421, 621)
	L = (1, 402)(2, 401)(3, 407)(4, 409)(5, 411)(6, 413)(7, 403)(8, 414)(9, 404)(10, 412)(11, 405)(12, 410)(13, 406)(14, 408)(15, 420)(16, 423)(17, 425)(18, 421)(19, 427)(20, 415)(21, 418)(22, 429)(23, 416)(24, 431)(25, 417)(26, 432)(27, 419)(28, 430)(29, 422)(30, 428)(31, 424)(32, 426)(33, 439)(34, 441)(35, 437)(36, 443)(37, 435)(38, 445)(39, 433)(40, 447)(41, 434)(42, 448)(43, 436)(44, 446)(45, 438)(46, 444)(47, 440)(48, 442)(49, 455)(50, 457)(51, 453)(52, 459)(53, 451)(54, 461)(55, 449)(56, 463)(57, 450)(58, 464)(59, 452)(60, 462)(61, 454)(62, 460)(63, 456)(64, 458)(65, 469)(66, 499)(67, 501)(68, 471)(69, 465)(70, 504)(71, 468)(72, 507)(73, 509)(74, 511)(75, 513)(76, 515)(77, 517)(78, 519)(79, 521)(80, 523)(81, 525)(82, 527)(83, 529)(84, 531)(85, 533)(86, 535)(87, 537)(88, 539)(89, 541)(90, 543)(91, 545)(92, 547)(93, 549)(94, 551)(95, 553)(96, 555)(97, 557)(98, 559)(99, 466)(100, 561)(101, 467)(102, 563)(103, 565)(104, 470)(105, 567)(106, 569)(107, 472)(108, 571)(109, 473)(110, 573)(111, 474)(112, 575)(113, 475)(114, 577)(115, 476)(116, 579)(117, 477)(118, 581)(119, 478)(120, 583)(121, 479)(122, 585)(123, 480)(124, 587)(125, 481)(126, 589)(127, 482)(128, 591)(129, 483)(130, 593)(131, 484)(132, 595)(133, 485)(134, 594)(135, 486)(136, 597)(137, 487)(138, 596)(139, 488)(140, 599)(141, 489)(142, 598)(143, 490)(144, 600)(145, 491)(146, 582)(147, 492)(148, 586)(149, 493)(150, 578)(151, 494)(152, 590)(153, 495)(154, 580)(155, 496)(156, 592)(157, 497)(158, 584)(159, 498)(160, 588)(161, 500)(162, 570)(163, 502)(164, 572)(165, 503)(166, 576)(167, 505)(168, 574)(169, 506)(170, 562)(171, 508)(172, 564)(173, 510)(174, 568)(175, 512)(176, 566)(177, 514)(178, 550)(179, 516)(180, 554)(181, 518)(182, 546)(183, 520)(184, 558)(185, 522)(186, 548)(187, 524)(188, 560)(189, 526)(190, 552)(191, 528)(192, 556)(193, 530)(194, 534)(195, 532)(196, 538)(197, 536)(198, 542)(199, 540)(200, 544)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E24.2063
Graph:: bipartite
	v = 104 e = 400 f = 250
	degree seq :: [ 4^100, 100^4 ]

E24.2063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 50})
Quotient :: dipole
Aut^+ = (C50 x C2) : C2 (small group id <200, 8>)
Aut   = D8 x D50 (small group id <400, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^50 ]
Map:: polytopal
	R = (1, 201, 2, 202, 6, 206, 4, 204)(3, 203, 9, 209, 13, 213, 8, 208)(5, 205, 11, 211, 14, 214, 7, 207)(10, 210, 16, 216, 21, 221, 17, 217)(12, 212, 15, 215, 22, 222, 19, 219)(18, 218, 25, 225, 29, 229, 24, 224)(20, 220, 27, 227, 30, 230, 23, 223)(26, 226, 32, 232, 37, 237, 33, 233)(28, 228, 31, 231, 38, 238, 35, 235)(34, 234, 41, 241, 45, 245, 40, 240)(36, 236, 43, 243, 46, 246, 39, 239)(42, 242, 48, 248, 53, 253, 49, 249)(44, 244, 47, 247, 54, 254, 51, 251)(50, 250, 57, 257, 61, 261, 56, 256)(52, 252, 59, 259, 62, 262, 55, 255)(58, 258, 64, 264, 80, 280, 65, 265)(60, 260, 63, 263, 106, 306, 67, 267)(66, 266, 108, 308, 73, 273, 121, 321)(68, 268, 76, 276, 127, 327, 77, 277)(69, 269, 111, 311, 74, 274, 113, 313)(70, 270, 114, 314, 72, 272, 116, 316)(71, 271, 117, 317, 81, 281, 119, 319)(75, 275, 124, 324, 79, 279, 126, 326)(78, 278, 130, 330, 85, 285, 132, 332)(82, 282, 136, 336, 84, 284, 138, 338)(83, 283, 139, 339, 89, 289, 141, 341)(86, 286, 144, 344, 88, 288, 146, 346)(87, 287, 147, 347, 93, 293, 149, 349)(90, 290, 152, 352, 92, 292, 154, 354)(91, 291, 155, 355, 97, 297, 157, 357)(94, 294, 160, 360, 96, 296, 162, 362)(95, 295, 163, 363, 101, 301, 165, 365)(98, 298, 168, 368, 100, 300, 170, 370)(99, 299, 171, 371, 105, 305, 173, 373)(102, 302, 176, 376, 104, 304, 178, 378)(103, 303, 179, 379, 134, 334, 181, 381)(107, 307, 184, 384, 110, 310, 186, 386)(109, 309, 187, 387, 122, 322, 189, 389)(112, 312, 191, 391, 123, 323, 193, 393)(115, 315, 192, 392, 120, 320, 194, 394)(118, 318, 195, 395, 135, 335, 197, 397)(125, 325, 188, 388, 133, 333, 198, 398)(128, 328, 199, 399, 129, 329, 196, 396)(131, 331, 185, 385, 143, 343, 190, 390)(137, 337, 200, 400, 142, 342, 180, 380)(140, 340, 182, 382, 151, 351, 177, 377)(145, 345, 172, 372, 150, 350, 183, 383)(148, 348, 169, 369, 159, 359, 174, 374)(153, 353, 175, 375, 158, 358, 164, 364)(156, 356, 166, 366, 167, 367, 161, 361)(401, 601)(402, 602)(403, 603)(404, 604)(405, 605)(406, 606)(407, 607)(408, 608)(409, 609)(410, 610)(411, 611)(412, 612)(413, 613)(414, 614)(415, 615)(416, 616)(417, 617)(418, 618)(419, 619)(420, 620)(421, 621)(422, 622)(423, 623)(424, 624)(425, 625)(426, 626)(427, 627)(428, 628)(429, 629)(430, 630)(431, 631)(432, 632)(433, 633)(434, 634)(435, 635)(436, 636)(437, 637)(438, 638)(439, 639)(440, 640)(441, 641)(442, 642)(443, 643)(444, 644)(445, 645)(446, 646)(447, 647)(448, 648)(449, 649)(450, 650)(451, 651)(452, 652)(453, 653)(454, 654)(455, 655)(456, 656)(457, 657)(458, 658)(459, 659)(460, 660)(461, 661)(462, 662)(463, 663)(464, 664)(465, 665)(466, 666)(467, 667)(468, 668)(469, 669)(470, 670)(471, 671)(472, 672)(473, 673)(474, 674)(475, 675)(476, 676)(477, 677)(478, 678)(479, 679)(480, 680)(481, 681)(482, 682)(483, 683)(484, 684)(485, 685)(486, 686)(487, 687)(488, 688)(489, 689)(490, 690)(491, 691)(492, 692)(493, 693)(494, 694)(495, 695)(496, 696)(497, 697)(498, 698)(499, 699)(500, 700)(501, 701)(502, 702)(503, 703)(504, 704)(505, 705)(506, 706)(507, 707)(508, 708)(509, 709)(510, 710)(511, 711)(512, 712)(513, 713)(514, 714)(515, 715)(516, 716)(517, 717)(518, 718)(519, 719)(520, 720)(521, 721)(522, 722)(523, 723)(524, 724)(525, 725)(526, 726)(527, 727)(528, 728)(529, 729)(530, 730)(531, 731)(532, 732)(533, 733)(534, 734)(535, 735)(536, 736)(537, 737)(538, 738)(539, 739)(540, 740)(541, 741)(542, 742)(543, 743)(544, 744)(545, 745)(546, 746)(547, 747)(548, 748)(549, 749)(550, 750)(551, 751)(552, 752)(553, 753)(554, 754)(555, 755)(556, 756)(557, 757)(558, 758)(559, 759)(560, 760)(561, 761)(562, 762)(563, 763)(564, 764)(565, 765)(566, 766)(567, 767)(568, 768)(569, 769)(570, 770)(571, 771)(572, 772)(573, 773)(574, 774)(575, 775)(576, 776)(577, 777)(578, 778)(579, 779)(580, 780)(581, 781)(582, 782)(583, 783)(584, 784)(585, 785)(586, 786)(587, 787)(588, 788)(589, 789)(590, 790)(591, 791)(592, 792)(593, 793)(594, 794)(595, 795)(596, 796)(597, 797)(598, 798)(599, 799)(600, 800)
	L = (1, 403)(2, 407)(3, 410)(4, 411)(5, 401)(6, 413)(7, 415)(8, 402)(9, 404)(10, 418)(11, 419)(12, 405)(13, 421)(14, 406)(15, 423)(16, 408)(17, 409)(18, 426)(19, 427)(20, 412)(21, 429)(22, 414)(23, 431)(24, 416)(25, 417)(26, 434)(27, 435)(28, 420)(29, 437)(30, 422)(31, 439)(32, 424)(33, 425)(34, 442)(35, 443)(36, 428)(37, 445)(38, 430)(39, 447)(40, 432)(41, 433)(42, 450)(43, 451)(44, 436)(45, 453)(46, 438)(47, 455)(48, 440)(49, 441)(50, 458)(51, 459)(52, 444)(53, 461)(54, 446)(55, 463)(56, 448)(57, 449)(58, 466)(59, 467)(60, 452)(61, 480)(62, 454)(63, 477)(64, 456)(65, 457)(66, 474)(67, 476)(68, 460)(69, 471)(70, 475)(71, 478)(72, 479)(73, 469)(74, 481)(75, 482)(76, 470)(77, 472)(78, 483)(79, 484)(80, 473)(81, 485)(82, 486)(83, 487)(84, 488)(85, 489)(86, 490)(87, 491)(88, 492)(89, 493)(90, 494)(91, 495)(92, 496)(93, 497)(94, 498)(95, 499)(96, 500)(97, 501)(98, 502)(99, 503)(100, 504)(101, 505)(102, 507)(103, 509)(104, 510)(105, 534)(106, 462)(107, 529)(108, 465)(109, 523)(110, 528)(111, 508)(112, 518)(113, 521)(114, 468)(115, 525)(116, 527)(117, 513)(118, 531)(119, 511)(120, 533)(121, 464)(122, 512)(123, 535)(124, 516)(125, 537)(126, 514)(127, 506)(128, 515)(129, 520)(130, 519)(131, 540)(132, 517)(133, 542)(134, 522)(135, 543)(136, 526)(137, 545)(138, 524)(139, 532)(140, 548)(141, 530)(142, 550)(143, 551)(144, 538)(145, 553)(146, 536)(147, 541)(148, 556)(149, 539)(150, 558)(151, 559)(152, 546)(153, 561)(154, 544)(155, 549)(156, 564)(157, 547)(158, 566)(159, 567)(160, 554)(161, 569)(162, 552)(163, 557)(164, 572)(165, 555)(166, 574)(167, 575)(168, 562)(169, 577)(170, 560)(171, 565)(172, 580)(173, 563)(174, 582)(175, 583)(176, 570)(177, 585)(178, 568)(179, 573)(180, 588)(181, 571)(182, 590)(183, 600)(184, 578)(185, 597)(186, 576)(187, 581)(188, 594)(189, 579)(190, 595)(191, 587)(192, 596)(193, 589)(194, 599)(195, 593)(196, 586)(197, 591)(198, 592)(199, 584)(200, 598)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4, 100 ), ( 4, 100, 4, 100, 4, 100, 4, 100 ) }
Outer automorphisms :: reflexible
Dual of E24.2062
Graph:: simple bipartite
	v = 250 e = 400 f = 104
	degree seq :: [ 2^200, 8^50 ]

E24.2064 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 27})
Quotient :: regular
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, (T1^-1 * T2)^4, T1^27 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 41, 61, 80, 97, 113, 129, 145, 161, 177, 192, 176, 160, 144, 128, 112, 96, 79, 60, 40, 22, 10, 4)(3, 7, 15, 31, 51, 71, 89, 105, 121, 137, 153, 169, 185, 200, 194, 178, 165, 147, 130, 117, 99, 81, 65, 43, 24, 18, 8)(6, 13, 27, 21, 39, 59, 78, 95, 111, 127, 143, 159, 175, 191, 206, 193, 181, 163, 146, 133, 115, 98, 84, 63, 42, 30, 14)(9, 19, 37, 57, 76, 93, 109, 125, 141, 157, 173, 189, 204, 196, 179, 162, 149, 131, 114, 101, 82, 62, 46, 26, 12, 25, 20)(16, 33, 53, 36, 45, 67, 86, 100, 118, 135, 148, 166, 183, 195, 208, 211, 203, 187, 170, 156, 139, 122, 108, 91, 72, 55, 34)(17, 35, 50, 64, 85, 103, 116, 134, 151, 164, 182, 198, 207, 212, 201, 186, 171, 154, 138, 123, 106, 90, 73, 52, 32, 48, 28)(29, 49, 68, 83, 102, 119, 132, 150, 167, 180, 197, 209, 214, 205, 190, 174, 158, 142, 126, 110, 94, 77, 58, 38, 47, 66, 44)(54, 75, 92, 107, 124, 140, 155, 172, 188, 202, 213, 216, 215, 210, 199, 184, 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, 178)(163, 180)(165, 183)(166, 184)(169, 186)(171, 188)(173, 190)(176, 185)(177, 193)(179, 195)(181, 198)(182, 199)(187, 202)(189, 203)(191, 201)(192, 204)(194, 207)(196, 209)(197, 210)(200, 211)(205, 213)(206, 214)(208, 215)(212, 216)
	local type(s) :: { ( 4^27 ) }
Outer automorphisms :: reflexible
Dual of E24.2065
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 108 f = 54
	degree seq :: [ 27^8 ]

E24.2065 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 27})
Quotient :: regular
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|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)^27 ]
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, 129, 76, 132)(74, 130, 75, 131)(77, 133, 97, 135)(78, 136, 106, 138)(79, 137, 86, 140)(80, 141, 111, 142)(81, 143, 112, 145)(82, 144, 85, 134)(83, 146, 95, 147)(84, 148, 94, 149)(87, 151, 93, 152)(88, 153, 92, 154)(89, 155, 103, 157)(90, 156, 91, 139)(96, 158, 102, 159)(98, 160, 101, 161)(99, 162, 100, 163)(104, 164, 105, 150)(107, 165, 110, 166)(108, 167, 109, 168)(113, 169, 116, 170)(114, 171, 115, 172)(117, 173, 120, 174)(118, 175, 119, 176)(121, 177, 124, 178)(122, 179, 123, 180)(125, 181, 128, 182)(126, 183, 127, 184)(185, 207, 187, 210)(186, 208, 188, 209)(189, 196, 201, 211)(190, 198, 214, 192)(191, 213, 199, 193)(194, 215, 197, 200)(195, 205, 206, 202)(203, 216, 204, 212)
	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, 91)(70, 104)(71, 105)(72, 90)(77, 134)(78, 137)(79, 139)(80, 140)(81, 144)(82, 131)(83, 133)(84, 135)(85, 129)(86, 150)(87, 136)(88, 138)(89, 156)(92, 141)(93, 142)(94, 143)(95, 145)(96, 130)(97, 158)(98, 146)(99, 147)(100, 148)(101, 149)(102, 132)(103, 164)(106, 157)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 159)(113, 160)(114, 161)(115, 162)(116, 163)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(177, 185)(178, 188)(179, 186)(180, 187)(181, 195)(182, 212)(183, 216)(184, 206)(189, 198)(190, 207)(191, 192)(193, 205)(194, 199)(196, 202)(197, 201)(200, 210)(203, 211)(204, 213)(208, 214)(209, 215)
	local type(s) :: { ( 27^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2064
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 54 e = 108 f = 8
	degree seq :: [ 4^54 ]

E24.2066 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 27})
Quotient :: edge
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|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)^27 ]
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, 194, 116, 196)(118, 197, 120, 193)(122, 202, 168, 204)(125, 206, 167, 208)(128, 207, 153, 210)(131, 211, 142, 201)(133, 209, 147, 213)(135, 203, 165, 212)(138, 215, 141, 205)(140, 214, 159, 216)(144, 199, 151, 195)(149, 198, 154, 200)(156, 190, 163, 186)(161, 188, 166, 192)(170, 184, 174, 180)(172, 178, 176, 182)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 241)(232, 244)(233, 246)(234, 247)(235, 249)(237, 252)(238, 254)(240, 251)(242, 253)(243, 248)(245, 250)(255, 265)(256, 266)(257, 267)(258, 268)(259, 264)(260, 269)(261, 270)(262, 271)(263, 272)(273, 281)(274, 282)(275, 283)(276, 284)(277, 285)(278, 286)(279, 287)(280, 288)(289, 293)(290, 316)(291, 296)(292, 302)(294, 329)(295, 337)(297, 346)(298, 340)(299, 331)(300, 353)(301, 333)(303, 343)(304, 348)(305, 362)(306, 345)(307, 339)(308, 364)(309, 350)(310, 355)(311, 374)(312, 352)(313, 342)(314, 376)(315, 335)(317, 359)(318, 368)(319, 361)(320, 366)(321, 371)(322, 380)(323, 373)(324, 378)(325, 385)(326, 391)(327, 387)(328, 389)(330, 393)(332, 399)(334, 395)(336, 397)(338, 401)(341, 410)(344, 418)(347, 403)(349, 427)(351, 422)(354, 412)(356, 431)(357, 413)(358, 405)(360, 423)(363, 420)(365, 429)(367, 425)(369, 417)(370, 426)(372, 419)(375, 424)(377, 432)(379, 430)(381, 421)(382, 428)(383, 409)(384, 407)(386, 415)(388, 416)(390, 414)(392, 411)(394, 406)(396, 408)(398, 404)(400, 402)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 54, 54 ), ( 54^4 ) }
Outer automorphisms :: reflexible
Dual of E24.2070
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 216 f = 8
	degree seq :: [ 2^108, 4^54 ]

E24.2067 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 27})
Quotient :: edge
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T1^4, (F * T2)^2, (T2^-2 * T1)^2, T2^27 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 43, 60, 76, 92, 108, 124, 140, 156, 172, 188, 192, 176, 160, 144, 128, 112, 96, 80, 64, 47, 29, 14, 5)(2, 7, 17, 35, 54, 70, 86, 102, 118, 134, 150, 166, 182, 198, 200, 184, 168, 152, 136, 120, 104, 88, 72, 56, 38, 20, 8)(4, 12, 26, 45, 62, 78, 94, 110, 126, 142, 158, 174, 190, 205, 202, 186, 170, 154, 138, 122, 106, 90, 74, 58, 41, 22, 9)(6, 15, 30, 49, 66, 82, 98, 114, 130, 146, 162, 178, 194, 208, 210, 196, 180, 164, 148, 132, 116, 100, 84, 68, 52, 33, 16)(11, 25, 13, 28, 46, 63, 79, 95, 111, 127, 143, 159, 175, 191, 206, 203, 187, 171, 155, 139, 123, 107, 91, 75, 59, 42, 23)(18, 36, 19, 37, 55, 71, 87, 103, 119, 135, 151, 167, 183, 199, 212, 211, 197, 181, 165, 149, 133, 117, 101, 85, 69, 53, 34)(21, 39, 57, 73, 89, 105, 121, 137, 153, 169, 185, 201, 213, 214, 204, 189, 173, 157, 141, 125, 109, 93, 77, 61, 44, 27, 40)(31, 50, 32, 51, 67, 83, 99, 115, 131, 147, 163, 179, 195, 209, 216, 215, 207, 193, 177, 161, 145, 129, 113, 97, 81, 65, 48)(217, 218, 222, 220)(219, 225, 237, 227)(221, 229, 234, 223)(224, 235, 247, 231)(226, 239, 253, 236)(228, 232, 248, 243)(230, 242, 260, 244)(233, 250, 267, 249)(238, 246, 264, 255)(240, 254, 265, 257)(241, 256, 266, 252)(245, 251, 268, 261)(258, 273, 281, 271)(259, 274, 289, 275)(262, 277, 283, 269)(263, 279, 285, 270)(272, 287, 297, 282)(276, 291, 303, 288)(278, 284, 299, 293)(280, 294, 309, 295)(286, 301, 315, 300)(290, 298, 313, 305)(292, 304, 314, 306)(296, 302, 316, 310)(307, 321, 329, 319)(308, 322, 337, 323)(311, 325, 331, 317)(312, 327, 333, 318)(320, 335, 345, 330)(324, 339, 351, 336)(326, 332, 347, 341)(328, 342, 357, 343)(334, 349, 363, 348)(338, 346, 361, 353)(340, 352, 362, 354)(344, 350, 364, 358)(355, 369, 377, 367)(356, 370, 385, 371)(359, 373, 379, 365)(360, 375, 381, 366)(368, 383, 393, 378)(372, 387, 399, 384)(374, 380, 395, 389)(376, 390, 405, 391)(382, 397, 411, 396)(386, 394, 409, 401)(388, 400, 410, 402)(392, 398, 412, 406)(403, 417, 423, 415)(404, 418, 429, 419)(407, 420, 425, 413)(408, 422, 427, 414)(416, 428, 431, 424)(421, 426, 432, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^27 ) }
Outer automorphisms :: reflexible
Dual of E24.2071
Transitivity :: ET+
Graph:: simple bipartite
	v = 62 e = 216 f = 108
	degree seq :: [ 4^54, 27^8 ]

E24.2068 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 27})
Quotient :: edge
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-3 * T2)^2, T1^27 ]
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, 178)(163, 180)(165, 183)(166, 184)(169, 186)(171, 188)(173, 190)(176, 185)(177, 193)(179, 195)(181, 198)(182, 199)(187, 202)(189, 203)(191, 201)(192, 204)(194, 207)(196, 209)(197, 210)(200, 211)(205, 213)(206, 214)(208, 215)(212, 216)(217, 218, 221, 227, 239, 257, 277, 296, 313, 329, 345, 361, 377, 393, 408, 392, 376, 360, 344, 328, 312, 295, 276, 256, 238, 226, 220)(219, 223, 231, 247, 267, 287, 305, 321, 337, 353, 369, 385, 401, 416, 410, 394, 381, 363, 346, 333, 315, 297, 281, 259, 240, 234, 224)(222, 229, 243, 237, 255, 275, 294, 311, 327, 343, 359, 375, 391, 407, 422, 409, 397, 379, 362, 349, 331, 314, 300, 279, 258, 246, 230)(225, 235, 253, 273, 292, 309, 325, 341, 357, 373, 389, 405, 420, 412, 395, 378, 365, 347, 330, 317, 298, 278, 262, 242, 228, 241, 236)(232, 249, 269, 252, 261, 283, 302, 316, 334, 351, 364, 382, 399, 411, 424, 427, 419, 403, 386, 372, 355, 338, 324, 307, 288, 271, 250)(233, 251, 266, 280, 301, 319, 332, 350, 367, 380, 398, 414, 423, 428, 417, 402, 387, 370, 354, 339, 322, 306, 289, 268, 248, 264, 244)(245, 265, 284, 299, 318, 335, 348, 366, 383, 396, 413, 425, 430, 421, 406, 390, 374, 358, 342, 326, 310, 293, 274, 254, 263, 282, 260)(270, 291, 308, 323, 340, 356, 371, 388, 404, 418, 429, 432, 431, 426, 415, 400, 384, 368, 352, 336, 320, 304, 286, 272, 290, 303, 285)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^27 ) }
Outer automorphisms :: reflexible
Dual of E24.2069
Transitivity :: ET+
Graph:: simple bipartite
	v = 116 e = 216 f = 54
	degree seq :: [ 2^108, 27^8 ]

E24.2069 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 27})
Quotient :: loop
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|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)^27 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 4, 220)(2, 218, 5, 221, 11, 227, 6, 222)(7, 223, 13, 229, 24, 240, 14, 230)(9, 225, 16, 232, 29, 245, 17, 233)(10, 226, 18, 234, 32, 248, 19, 235)(12, 228, 21, 237, 37, 253, 22, 238)(15, 231, 26, 242, 43, 259, 27, 243)(20, 236, 34, 250, 48, 264, 35, 251)(23, 239, 39, 255, 30, 246, 40, 256)(25, 241, 41, 257, 28, 244, 42, 258)(31, 247, 44, 260, 38, 254, 45, 261)(33, 249, 46, 262, 36, 252, 47, 263)(49, 265, 57, 273, 52, 268, 58, 274)(50, 266, 59, 275, 51, 267, 60, 276)(53, 269, 61, 277, 56, 272, 62, 278)(54, 270, 63, 279, 55, 271, 64, 280)(65, 281, 73, 289, 68, 284, 74, 290)(66, 282, 75, 291, 67, 283, 76, 292)(69, 285, 125, 341, 72, 288, 128, 344)(70, 286, 126, 342, 71, 287, 127, 343)(77, 293, 134, 350, 96, 312, 135, 351)(78, 294, 137, 353, 91, 307, 138, 354)(79, 295, 140, 356, 105, 321, 141, 357)(80, 296, 143, 359, 104, 320, 144, 360)(81, 297, 146, 362, 101, 317, 147, 363)(82, 298, 149, 365, 100, 316, 150, 366)(83, 299, 151, 367, 85, 301, 152, 368)(84, 300, 148, 364, 116, 332, 145, 361)(86, 302, 154, 370, 88, 304, 155, 371)(87, 303, 142, 358, 111, 327, 139, 355)(89, 305, 157, 373, 93, 309, 158, 374)(90, 306, 159, 375, 92, 308, 160, 376)(94, 310, 161, 377, 98, 314, 162, 378)(95, 311, 163, 379, 97, 313, 164, 380)(99, 315, 133, 349, 102, 318, 153, 369)(103, 319, 136, 352, 106, 322, 156, 372)(107, 323, 165, 381, 110, 326, 166, 382)(108, 324, 167, 383, 109, 325, 168, 384)(112, 328, 169, 385, 115, 331, 170, 386)(113, 329, 171, 387, 114, 330, 172, 388)(117, 333, 173, 389, 120, 336, 174, 390)(118, 334, 175, 391, 119, 335, 176, 392)(121, 337, 177, 393, 124, 340, 178, 394)(122, 338, 179, 395, 123, 339, 180, 396)(129, 345, 185, 401, 132, 348, 186, 402)(130, 346, 187, 403, 131, 347, 188, 404)(181, 397, 215, 431, 183, 399, 214, 430)(182, 398, 213, 429, 184, 400, 216, 432)(189, 405, 201, 417, 209, 425, 204, 420)(190, 406, 203, 419, 210, 426, 202, 418)(191, 407, 199, 415, 194, 410, 198, 414)(192, 408, 197, 413, 193, 409, 200, 416)(195, 411, 205, 421, 211, 427, 208, 424)(196, 412, 207, 423, 212, 428, 206, 422)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 226)(6, 228)(7, 219)(8, 231)(9, 220)(10, 221)(11, 236)(12, 222)(13, 239)(14, 241)(15, 224)(16, 244)(17, 246)(18, 247)(19, 249)(20, 227)(21, 252)(22, 254)(23, 229)(24, 251)(25, 230)(26, 253)(27, 248)(28, 232)(29, 250)(30, 233)(31, 234)(32, 243)(33, 235)(34, 245)(35, 240)(36, 237)(37, 242)(38, 238)(39, 265)(40, 266)(41, 267)(42, 268)(43, 264)(44, 269)(45, 270)(46, 271)(47, 272)(48, 259)(49, 255)(50, 256)(51, 257)(52, 258)(53, 260)(54, 261)(55, 262)(56, 263)(57, 281)(58, 282)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 288)(65, 273)(66, 274)(67, 275)(68, 276)(69, 277)(70, 278)(71, 279)(72, 280)(73, 322)(74, 304)(75, 302)(76, 319)(77, 349)(78, 352)(79, 355)(80, 358)(81, 361)(82, 364)(83, 342)(84, 369)(85, 344)(86, 291)(87, 372)(88, 290)(89, 360)(90, 359)(91, 371)(92, 357)(93, 356)(94, 366)(95, 365)(96, 368)(97, 363)(98, 362)(99, 343)(100, 351)(101, 350)(102, 341)(103, 292)(104, 354)(105, 353)(106, 289)(107, 376)(108, 375)(109, 374)(110, 373)(111, 370)(112, 380)(113, 379)(114, 378)(115, 377)(116, 367)(117, 384)(118, 383)(119, 382)(120, 381)(121, 388)(122, 387)(123, 386)(124, 385)(125, 318)(126, 299)(127, 315)(128, 301)(129, 392)(130, 391)(131, 390)(132, 389)(133, 293)(134, 317)(135, 316)(136, 294)(137, 321)(138, 320)(139, 295)(140, 309)(141, 308)(142, 296)(143, 306)(144, 305)(145, 297)(146, 314)(147, 313)(148, 298)(149, 311)(150, 310)(151, 332)(152, 312)(153, 300)(154, 327)(155, 307)(156, 303)(157, 326)(158, 325)(159, 324)(160, 323)(161, 331)(162, 330)(163, 329)(164, 328)(165, 336)(166, 335)(167, 334)(168, 333)(169, 340)(170, 339)(171, 338)(172, 337)(173, 348)(174, 347)(175, 346)(176, 345)(177, 399)(178, 398)(179, 400)(180, 397)(181, 396)(182, 394)(183, 393)(184, 395)(185, 412)(186, 427)(187, 411)(188, 428)(189, 432)(190, 431)(191, 419)(192, 420)(193, 418)(194, 417)(195, 403)(196, 401)(197, 423)(198, 424)(199, 422)(200, 421)(201, 410)(202, 409)(203, 407)(204, 408)(205, 416)(206, 415)(207, 413)(208, 414)(209, 430)(210, 429)(211, 402)(212, 404)(213, 426)(214, 425)(215, 406)(216, 405)
	local type(s) :: { ( 2, 27, 2, 27, 2, 27, 2, 27 ) }
Outer automorphisms :: reflexible
Dual of E24.2068
Transitivity :: ET+ VT+ AT
Graph::
	v = 54 e = 216 f = 116
	degree seq :: [ 8^54 ]

E24.2070 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 27})
Quotient :: loop
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T1^4, (F * T2)^2, (T2^-2 * T1)^2, T2^27 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 24, 240, 43, 259, 60, 276, 76, 292, 92, 308, 108, 324, 124, 340, 140, 356, 156, 372, 172, 388, 188, 404, 192, 408, 176, 392, 160, 376, 144, 360, 128, 344, 112, 328, 96, 312, 80, 296, 64, 280, 47, 263, 29, 245, 14, 230, 5, 221)(2, 218, 7, 223, 17, 233, 35, 251, 54, 270, 70, 286, 86, 302, 102, 318, 118, 334, 134, 350, 150, 366, 166, 382, 182, 398, 198, 414, 200, 416, 184, 400, 168, 384, 152, 368, 136, 352, 120, 336, 104, 320, 88, 304, 72, 288, 56, 272, 38, 254, 20, 236, 8, 224)(4, 220, 12, 228, 26, 242, 45, 261, 62, 278, 78, 294, 94, 310, 110, 326, 126, 342, 142, 358, 158, 374, 174, 390, 190, 406, 205, 421, 202, 418, 186, 402, 170, 386, 154, 370, 138, 354, 122, 338, 106, 322, 90, 306, 74, 290, 58, 274, 41, 257, 22, 238, 9, 225)(6, 222, 15, 231, 30, 246, 49, 265, 66, 282, 82, 298, 98, 314, 114, 330, 130, 346, 146, 362, 162, 378, 178, 394, 194, 410, 208, 424, 210, 426, 196, 412, 180, 396, 164, 380, 148, 364, 132, 348, 116, 332, 100, 316, 84, 300, 68, 284, 52, 268, 33, 249, 16, 232)(11, 227, 25, 241, 13, 229, 28, 244, 46, 262, 63, 279, 79, 295, 95, 311, 111, 327, 127, 343, 143, 359, 159, 375, 175, 391, 191, 407, 206, 422, 203, 419, 187, 403, 171, 387, 155, 371, 139, 355, 123, 339, 107, 323, 91, 307, 75, 291, 59, 275, 42, 258, 23, 239)(18, 234, 36, 252, 19, 235, 37, 253, 55, 271, 71, 287, 87, 303, 103, 319, 119, 335, 135, 351, 151, 367, 167, 383, 183, 399, 199, 415, 212, 428, 211, 427, 197, 413, 181, 397, 165, 381, 149, 365, 133, 349, 117, 333, 101, 317, 85, 301, 69, 285, 53, 269, 34, 250)(21, 237, 39, 255, 57, 273, 73, 289, 89, 305, 105, 321, 121, 337, 137, 353, 153, 369, 169, 385, 185, 401, 201, 417, 213, 429, 214, 430, 204, 420, 189, 405, 173, 389, 157, 373, 141, 357, 125, 341, 109, 325, 93, 309, 77, 293, 61, 277, 44, 260, 27, 243, 40, 256)(31, 247, 50, 266, 32, 248, 51, 267, 67, 283, 83, 299, 99, 315, 115, 331, 131, 347, 147, 363, 163, 379, 179, 395, 195, 411, 209, 425, 216, 432, 215, 431, 207, 423, 193, 409, 177, 393, 161, 377, 145, 361, 129, 345, 113, 329, 97, 313, 81, 297, 65, 281, 48, 264)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 229)(6, 220)(7, 221)(8, 235)(9, 237)(10, 239)(11, 219)(12, 232)(13, 234)(14, 242)(15, 224)(16, 248)(17, 250)(18, 223)(19, 247)(20, 226)(21, 227)(22, 246)(23, 253)(24, 254)(25, 256)(26, 260)(27, 228)(28, 230)(29, 251)(30, 264)(31, 231)(32, 243)(33, 233)(34, 267)(35, 268)(36, 241)(37, 236)(38, 265)(39, 238)(40, 266)(41, 240)(42, 273)(43, 274)(44, 244)(45, 245)(46, 277)(47, 279)(48, 255)(49, 257)(50, 252)(51, 249)(52, 261)(53, 262)(54, 263)(55, 258)(56, 287)(57, 281)(58, 289)(59, 259)(60, 291)(61, 283)(62, 284)(63, 285)(64, 294)(65, 271)(66, 272)(67, 269)(68, 299)(69, 270)(70, 301)(71, 297)(72, 276)(73, 275)(74, 298)(75, 303)(76, 304)(77, 278)(78, 309)(79, 280)(80, 302)(81, 282)(82, 313)(83, 293)(84, 286)(85, 315)(86, 316)(87, 288)(88, 314)(89, 290)(90, 292)(91, 321)(92, 322)(93, 295)(94, 296)(95, 325)(96, 327)(97, 305)(98, 306)(99, 300)(100, 310)(101, 311)(102, 312)(103, 307)(104, 335)(105, 329)(106, 337)(107, 308)(108, 339)(109, 331)(110, 332)(111, 333)(112, 342)(113, 319)(114, 320)(115, 317)(116, 347)(117, 318)(118, 349)(119, 345)(120, 324)(121, 323)(122, 346)(123, 351)(124, 352)(125, 326)(126, 357)(127, 328)(128, 350)(129, 330)(130, 361)(131, 341)(132, 334)(133, 363)(134, 364)(135, 336)(136, 362)(137, 338)(138, 340)(139, 369)(140, 370)(141, 343)(142, 344)(143, 373)(144, 375)(145, 353)(146, 354)(147, 348)(148, 358)(149, 359)(150, 360)(151, 355)(152, 383)(153, 377)(154, 385)(155, 356)(156, 387)(157, 379)(158, 380)(159, 381)(160, 390)(161, 367)(162, 368)(163, 365)(164, 395)(165, 366)(166, 397)(167, 393)(168, 372)(169, 371)(170, 394)(171, 399)(172, 400)(173, 374)(174, 405)(175, 376)(176, 398)(177, 378)(178, 409)(179, 389)(180, 382)(181, 411)(182, 412)(183, 384)(184, 410)(185, 386)(186, 388)(187, 417)(188, 418)(189, 391)(190, 392)(191, 420)(192, 422)(193, 401)(194, 402)(195, 396)(196, 406)(197, 407)(198, 408)(199, 403)(200, 428)(201, 423)(202, 429)(203, 404)(204, 425)(205, 426)(206, 427)(207, 415)(208, 416)(209, 413)(210, 432)(211, 414)(212, 431)(213, 419)(214, 421)(215, 424)(216, 430)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E24.2066
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 216 f = 162
	degree seq :: [ 54^8 ]

E24.2071 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 27})
Quotient :: loop
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-3 * T2)^2, T1^27 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 36, 252)(19, 235, 38, 254)(20, 236, 33, 249)(22, 238, 31, 247)(23, 239, 42, 258)(25, 241, 44, 260)(26, 242, 45, 261)(27, 243, 47, 263)(30, 246, 50, 266)(34, 250, 54, 270)(35, 251, 56, 272)(37, 253, 55, 271)(39, 255, 52, 268)(40, 256, 57, 273)(41, 257, 62, 278)(43, 259, 64, 280)(46, 262, 68, 284)(48, 264, 69, 285)(49, 265, 70, 286)(51, 267, 72, 288)(53, 269, 74, 290)(58, 274, 75, 291)(59, 275, 77, 293)(60, 276, 78, 294)(61, 277, 81, 297)(63, 279, 83, 299)(65, 281, 86, 302)(66, 282, 87, 303)(67, 283, 88, 304)(71, 287, 90, 306)(73, 289, 92, 308)(76, 292, 94, 310)(79, 295, 89, 305)(80, 296, 98, 314)(82, 298, 100, 316)(84, 300, 103, 319)(85, 301, 104, 320)(91, 307, 107, 323)(93, 309, 108, 324)(95, 311, 106, 322)(96, 312, 109, 325)(97, 313, 114, 330)(99, 315, 116, 332)(101, 317, 119, 335)(102, 318, 120, 336)(105, 321, 122, 338)(110, 326, 124, 340)(111, 327, 126, 342)(112, 328, 127, 343)(113, 329, 130, 346)(115, 331, 132, 348)(117, 333, 135, 351)(118, 334, 136, 352)(121, 337, 138, 354)(123, 339, 140, 356)(125, 341, 142, 358)(128, 344, 137, 353)(129, 345, 146, 362)(131, 347, 148, 364)(133, 349, 151, 367)(134, 350, 152, 368)(139, 355, 155, 371)(141, 357, 156, 372)(143, 359, 154, 370)(144, 360, 157, 373)(145, 361, 162, 378)(147, 363, 164, 380)(149, 365, 167, 383)(150, 366, 168, 384)(153, 369, 170, 386)(158, 374, 172, 388)(159, 375, 174, 390)(160, 376, 175, 391)(161, 377, 178, 394)(163, 379, 180, 396)(165, 381, 183, 399)(166, 382, 184, 400)(169, 385, 186, 402)(171, 387, 188, 404)(173, 389, 190, 406)(176, 392, 185, 401)(177, 393, 193, 409)(179, 395, 195, 411)(181, 397, 198, 414)(182, 398, 199, 415)(187, 403, 202, 418)(189, 405, 203, 419)(191, 407, 201, 417)(192, 408, 204, 420)(194, 410, 207, 423)(196, 412, 209, 425)(197, 413, 210, 426)(200, 416, 211, 427)(205, 421, 213, 429)(206, 422, 214, 430)(208, 424, 215, 431)(212, 428, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 253)(20, 225)(21, 255)(22, 226)(23, 257)(24, 234)(25, 236)(26, 228)(27, 237)(28, 233)(29, 265)(30, 230)(31, 267)(32, 264)(33, 269)(34, 232)(35, 266)(36, 261)(37, 273)(38, 263)(39, 275)(40, 238)(41, 277)(42, 246)(43, 240)(44, 245)(45, 283)(46, 242)(47, 282)(48, 244)(49, 284)(50, 280)(51, 287)(52, 248)(53, 252)(54, 291)(55, 250)(56, 290)(57, 292)(58, 254)(59, 294)(60, 256)(61, 296)(62, 262)(63, 258)(64, 301)(65, 259)(66, 260)(67, 302)(68, 299)(69, 270)(70, 272)(71, 305)(72, 271)(73, 268)(74, 303)(75, 308)(76, 309)(77, 274)(78, 311)(79, 276)(80, 313)(81, 281)(82, 278)(83, 318)(84, 279)(85, 319)(86, 316)(87, 285)(88, 286)(89, 321)(90, 289)(91, 288)(92, 323)(93, 325)(94, 293)(95, 327)(96, 295)(97, 329)(98, 300)(99, 297)(100, 334)(101, 298)(102, 335)(103, 332)(104, 304)(105, 337)(106, 306)(107, 340)(108, 307)(109, 341)(110, 310)(111, 343)(112, 312)(113, 345)(114, 317)(115, 314)(116, 350)(117, 315)(118, 351)(119, 348)(120, 320)(121, 353)(122, 324)(123, 322)(124, 356)(125, 357)(126, 326)(127, 359)(128, 328)(129, 361)(130, 333)(131, 330)(132, 366)(133, 331)(134, 367)(135, 364)(136, 336)(137, 369)(138, 339)(139, 338)(140, 371)(141, 373)(142, 342)(143, 375)(144, 344)(145, 377)(146, 349)(147, 346)(148, 382)(149, 347)(150, 383)(151, 380)(152, 352)(153, 385)(154, 354)(155, 388)(156, 355)(157, 389)(158, 358)(159, 391)(160, 360)(161, 393)(162, 365)(163, 362)(164, 398)(165, 363)(166, 399)(167, 396)(168, 368)(169, 401)(170, 372)(171, 370)(172, 404)(173, 405)(174, 374)(175, 407)(176, 376)(177, 408)(178, 381)(179, 378)(180, 413)(181, 379)(182, 414)(183, 411)(184, 384)(185, 416)(186, 387)(187, 386)(188, 418)(189, 420)(190, 390)(191, 422)(192, 392)(193, 397)(194, 394)(195, 424)(196, 395)(197, 425)(198, 423)(199, 400)(200, 410)(201, 402)(202, 429)(203, 403)(204, 412)(205, 406)(206, 409)(207, 428)(208, 427)(209, 430)(210, 415)(211, 419)(212, 417)(213, 432)(214, 421)(215, 426)(216, 431)
	local type(s) :: { ( 4, 27, 4, 27 ) }
Outer automorphisms :: reflexible
Dual of E24.2067
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 108 e = 216 f = 62
	degree seq :: [ 4^108 ]

E24.2072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 27})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, 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)^27 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 30, 246)(18, 234, 31, 247)(19, 235, 33, 249)(21, 237, 36, 252)(22, 238, 38, 254)(24, 240, 35, 251)(26, 242, 37, 253)(27, 243, 32, 248)(29, 245, 34, 250)(39, 255, 49, 265)(40, 256, 50, 266)(41, 257, 51, 267)(42, 258, 52, 268)(43, 259, 48, 264)(44, 260, 53, 269)(45, 261, 54, 270)(46, 262, 55, 271)(47, 263, 56, 272)(57, 273, 65, 281)(58, 274, 66, 282)(59, 275, 67, 283)(60, 276, 68, 284)(61, 277, 69, 285)(62, 278, 70, 286)(63, 279, 71, 287)(64, 280, 72, 288)(73, 289, 82, 298)(74, 290, 94, 310)(75, 291, 95, 311)(76, 292, 81, 297)(77, 293, 129, 345)(78, 294, 133, 349)(79, 295, 125, 341)(80, 296, 121, 337)(83, 299, 130, 346)(84, 300, 146, 362)(85, 301, 132, 348)(86, 302, 134, 350)(87, 303, 154, 370)(88, 304, 136, 352)(89, 305, 137, 353)(90, 306, 140, 356)(91, 307, 143, 359)(92, 308, 164, 380)(93, 309, 145, 361)(96, 312, 148, 364)(97, 313, 162, 378)(98, 314, 150, 366)(99, 315, 151, 367)(100, 316, 161, 377)(101, 317, 153, 369)(102, 318, 127, 343)(103, 319, 123, 339)(104, 320, 156, 372)(105, 321, 159, 375)(106, 322, 158, 374)(107, 323, 185, 401)(108, 324, 172, 388)(109, 325, 165, 381)(110, 326, 167, 383)(111, 327, 169, 385)(112, 328, 171, 387)(113, 329, 178, 394)(114, 330, 180, 396)(115, 331, 182, 398)(116, 332, 184, 400)(117, 333, 193, 409)(118, 334, 195, 411)(119, 335, 196, 412)(120, 336, 198, 414)(122, 338, 201, 417)(124, 340, 203, 419)(126, 342, 204, 420)(128, 344, 206, 422)(131, 347, 202, 418)(135, 351, 194, 410)(138, 354, 210, 426)(139, 355, 213, 429)(141, 357, 214, 430)(142, 358, 209, 425)(144, 360, 190, 406)(147, 363, 205, 421)(149, 365, 179, 395)(152, 368, 177, 393)(155, 371, 197, 413)(157, 373, 166, 382)(160, 376, 200, 416)(163, 379, 208, 424)(168, 384, 188, 404)(170, 386, 189, 405)(173, 389, 211, 427)(174, 390, 212, 428)(175, 391, 181, 397)(176, 392, 183, 399)(186, 402, 215, 431)(187, 403, 216, 432)(191, 407, 199, 415)(192, 408, 207, 423)(433, 649, 435, 651, 440, 656, 436, 652)(434, 650, 437, 653, 443, 659, 438, 654)(439, 655, 445, 661, 456, 672, 446, 662)(441, 657, 448, 664, 461, 677, 449, 665)(442, 658, 450, 666, 464, 680, 451, 667)(444, 660, 453, 669, 469, 685, 454, 670)(447, 663, 458, 674, 475, 691, 459, 675)(452, 668, 466, 682, 480, 696, 467, 683)(455, 671, 471, 687, 462, 678, 472, 688)(457, 673, 473, 689, 460, 676, 474, 690)(463, 679, 476, 692, 470, 686, 477, 693)(465, 681, 478, 694, 468, 684, 479, 695)(481, 697, 489, 705, 484, 700, 490, 706)(482, 698, 491, 707, 483, 699, 492, 708)(485, 701, 493, 709, 488, 704, 494, 710)(486, 702, 495, 711, 487, 703, 496, 712)(497, 713, 505, 721, 500, 716, 506, 722)(498, 714, 507, 723, 499, 715, 508, 724)(501, 717, 553, 769, 504, 720, 559, 775)(502, 718, 555, 771, 503, 719, 557, 773)(509, 725, 562, 778, 516, 732, 564, 780)(510, 726, 566, 782, 519, 735, 568, 784)(511, 727, 569, 785, 512, 728, 565, 781)(513, 729, 572, 788, 514, 730, 561, 777)(515, 731, 575, 791, 524, 740, 577, 793)(517, 733, 580, 796, 529, 745, 582, 798)(518, 734, 583, 799, 532, 748, 585, 801)(520, 736, 588, 804, 537, 753, 590, 806)(521, 737, 591, 807, 539, 755, 593, 809)(522, 738, 594, 810, 540, 756, 596, 812)(523, 739, 597, 813, 530, 746, 599, 815)(525, 741, 601, 817, 528, 744, 603, 819)(526, 742, 604, 820, 527, 743, 578, 794)(531, 747, 610, 826, 538, 754, 612, 828)(533, 749, 614, 830, 536, 752, 616, 832)(534, 750, 617, 833, 535, 751, 586, 802)(541, 757, 625, 841, 544, 760, 627, 843)(542, 758, 628, 844, 543, 759, 630, 846)(545, 761, 633, 849, 548, 764, 635, 851)(546, 762, 636, 852, 547, 763, 638, 854)(549, 765, 641, 857, 552, 768, 643, 859)(550, 766, 644, 860, 551, 767, 646, 862)(554, 770, 645, 861, 560, 776, 647, 863)(556, 772, 648, 864, 558, 774, 642, 858)(563, 779, 622, 838, 579, 795, 611, 827)(567, 783, 609, 825, 587, 803, 598, 814)(570, 786, 632, 848, 571, 787, 626, 842)(573, 789, 640, 856, 574, 790, 634, 850)(576, 792, 589, 805, 600, 816, 621, 837)(581, 797, 613, 829, 608, 824, 584, 800)(592, 808, 602, 818, 623, 839, 607, 823)(595, 811, 615, 831, 624, 840, 620, 836)(605, 821, 639, 855, 606, 822, 637, 853)(618, 834, 631, 847, 619, 835, 629, 845)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 442)(6, 444)(7, 435)(8, 447)(9, 436)(10, 437)(11, 452)(12, 438)(13, 455)(14, 457)(15, 440)(16, 460)(17, 462)(18, 463)(19, 465)(20, 443)(21, 468)(22, 470)(23, 445)(24, 467)(25, 446)(26, 469)(27, 464)(28, 448)(29, 466)(30, 449)(31, 450)(32, 459)(33, 451)(34, 461)(35, 456)(36, 453)(37, 458)(38, 454)(39, 481)(40, 482)(41, 483)(42, 484)(43, 480)(44, 485)(45, 486)(46, 487)(47, 488)(48, 475)(49, 471)(50, 472)(51, 473)(52, 474)(53, 476)(54, 477)(55, 478)(56, 479)(57, 497)(58, 498)(59, 499)(60, 500)(61, 501)(62, 502)(63, 503)(64, 504)(65, 489)(66, 490)(67, 491)(68, 492)(69, 493)(70, 494)(71, 495)(72, 496)(73, 514)(74, 526)(75, 527)(76, 513)(77, 561)(78, 565)(79, 557)(80, 553)(81, 508)(82, 505)(83, 562)(84, 578)(85, 564)(86, 566)(87, 586)(88, 568)(89, 569)(90, 572)(91, 575)(92, 596)(93, 577)(94, 506)(95, 507)(96, 580)(97, 594)(98, 582)(99, 583)(100, 593)(101, 585)(102, 559)(103, 555)(104, 588)(105, 591)(106, 590)(107, 617)(108, 604)(109, 597)(110, 599)(111, 601)(112, 603)(113, 610)(114, 612)(115, 614)(116, 616)(117, 625)(118, 627)(119, 628)(120, 630)(121, 512)(122, 633)(123, 535)(124, 635)(125, 511)(126, 636)(127, 534)(128, 638)(129, 509)(130, 515)(131, 634)(132, 517)(133, 510)(134, 518)(135, 626)(136, 520)(137, 521)(138, 642)(139, 645)(140, 522)(141, 646)(142, 641)(143, 523)(144, 622)(145, 525)(146, 516)(147, 637)(148, 528)(149, 611)(150, 530)(151, 531)(152, 609)(153, 533)(154, 519)(155, 629)(156, 536)(157, 598)(158, 538)(159, 537)(160, 632)(161, 532)(162, 529)(163, 640)(164, 524)(165, 541)(166, 589)(167, 542)(168, 620)(169, 543)(170, 621)(171, 544)(172, 540)(173, 643)(174, 644)(175, 613)(176, 615)(177, 584)(178, 545)(179, 581)(180, 546)(181, 607)(182, 547)(183, 608)(184, 548)(185, 539)(186, 647)(187, 648)(188, 600)(189, 602)(190, 576)(191, 631)(192, 639)(193, 549)(194, 567)(195, 550)(196, 551)(197, 587)(198, 552)(199, 623)(200, 592)(201, 554)(202, 563)(203, 556)(204, 558)(205, 579)(206, 560)(207, 624)(208, 595)(209, 574)(210, 570)(211, 605)(212, 606)(213, 571)(214, 573)(215, 618)(216, 619)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 54, 2, 54 ), ( 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.2075
Graph:: bipartite
	v = 162 e = 432 f = 224
	degree seq :: [ 4^108, 8^54 ]

E24.2073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 27})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, (Y2^-2 * Y1)^2, Y2^27 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 31, 247, 15, 231)(10, 226, 23, 239, 37, 253, 20, 236)(12, 228, 16, 232, 32, 248, 27, 243)(14, 230, 26, 242, 44, 260, 28, 244)(17, 233, 34, 250, 51, 267, 33, 249)(22, 238, 30, 246, 48, 264, 39, 255)(24, 240, 38, 254, 49, 265, 41, 257)(25, 241, 40, 256, 50, 266, 36, 252)(29, 245, 35, 251, 52, 268, 45, 261)(42, 258, 57, 273, 65, 281, 55, 271)(43, 259, 58, 274, 73, 289, 59, 275)(46, 262, 61, 277, 67, 283, 53, 269)(47, 263, 63, 279, 69, 285, 54, 270)(56, 272, 71, 287, 81, 297, 66, 282)(60, 276, 75, 291, 87, 303, 72, 288)(62, 278, 68, 284, 83, 299, 77, 293)(64, 280, 78, 294, 93, 309, 79, 295)(70, 286, 85, 301, 99, 315, 84, 300)(74, 290, 82, 298, 97, 313, 89, 305)(76, 292, 88, 304, 98, 314, 90, 306)(80, 296, 86, 302, 100, 316, 94, 310)(91, 307, 105, 321, 113, 329, 103, 319)(92, 308, 106, 322, 121, 337, 107, 323)(95, 311, 109, 325, 115, 331, 101, 317)(96, 312, 111, 327, 117, 333, 102, 318)(104, 320, 119, 335, 129, 345, 114, 330)(108, 324, 123, 339, 135, 351, 120, 336)(110, 326, 116, 332, 131, 347, 125, 341)(112, 328, 126, 342, 141, 357, 127, 343)(118, 334, 133, 349, 147, 363, 132, 348)(122, 338, 130, 346, 145, 361, 137, 353)(124, 340, 136, 352, 146, 362, 138, 354)(128, 344, 134, 350, 148, 364, 142, 358)(139, 355, 153, 369, 161, 377, 151, 367)(140, 356, 154, 370, 169, 385, 155, 371)(143, 359, 157, 373, 163, 379, 149, 365)(144, 360, 159, 375, 165, 381, 150, 366)(152, 368, 167, 383, 177, 393, 162, 378)(156, 372, 171, 387, 183, 399, 168, 384)(158, 374, 164, 380, 179, 395, 173, 389)(160, 376, 174, 390, 189, 405, 175, 391)(166, 382, 181, 397, 195, 411, 180, 396)(170, 386, 178, 394, 193, 409, 185, 401)(172, 388, 184, 400, 194, 410, 186, 402)(176, 392, 182, 398, 196, 412, 190, 406)(187, 403, 201, 417, 207, 423, 199, 415)(188, 404, 202, 418, 213, 429, 203, 419)(191, 407, 204, 420, 209, 425, 197, 413)(192, 408, 206, 422, 211, 427, 198, 414)(200, 416, 212, 428, 215, 431, 208, 424)(205, 421, 210, 426, 216, 432, 214, 430)(433, 649, 435, 651, 442, 658, 456, 672, 475, 691, 492, 708, 508, 724, 524, 740, 540, 756, 556, 772, 572, 788, 588, 804, 604, 820, 620, 836, 624, 840, 608, 824, 592, 808, 576, 792, 560, 776, 544, 760, 528, 744, 512, 728, 496, 712, 479, 695, 461, 677, 446, 662, 437, 653)(434, 650, 439, 655, 449, 665, 467, 683, 486, 702, 502, 718, 518, 734, 534, 750, 550, 766, 566, 782, 582, 798, 598, 814, 614, 830, 630, 846, 632, 848, 616, 832, 600, 816, 584, 800, 568, 784, 552, 768, 536, 752, 520, 736, 504, 720, 488, 704, 470, 686, 452, 668, 440, 656)(436, 652, 444, 660, 458, 674, 477, 693, 494, 710, 510, 726, 526, 742, 542, 758, 558, 774, 574, 790, 590, 806, 606, 822, 622, 838, 637, 853, 634, 850, 618, 834, 602, 818, 586, 802, 570, 786, 554, 770, 538, 754, 522, 738, 506, 722, 490, 706, 473, 689, 454, 670, 441, 657)(438, 654, 447, 663, 462, 678, 481, 697, 498, 714, 514, 730, 530, 746, 546, 762, 562, 778, 578, 794, 594, 810, 610, 826, 626, 842, 640, 856, 642, 858, 628, 844, 612, 828, 596, 812, 580, 796, 564, 780, 548, 764, 532, 748, 516, 732, 500, 716, 484, 700, 465, 681, 448, 664)(443, 659, 457, 673, 445, 661, 460, 676, 478, 694, 495, 711, 511, 727, 527, 743, 543, 759, 559, 775, 575, 791, 591, 807, 607, 823, 623, 839, 638, 854, 635, 851, 619, 835, 603, 819, 587, 803, 571, 787, 555, 771, 539, 755, 523, 739, 507, 723, 491, 707, 474, 690, 455, 671)(450, 666, 468, 684, 451, 667, 469, 685, 487, 703, 503, 719, 519, 735, 535, 751, 551, 767, 567, 783, 583, 799, 599, 815, 615, 831, 631, 847, 644, 860, 643, 859, 629, 845, 613, 829, 597, 813, 581, 797, 565, 781, 549, 765, 533, 749, 517, 733, 501, 717, 485, 701, 466, 682)(453, 669, 471, 687, 489, 705, 505, 721, 521, 737, 537, 753, 553, 769, 569, 785, 585, 801, 601, 817, 617, 833, 633, 849, 645, 861, 646, 862, 636, 852, 621, 837, 605, 821, 589, 805, 573, 789, 557, 773, 541, 757, 525, 741, 509, 725, 493, 709, 476, 692, 459, 675, 472, 688)(463, 679, 482, 698, 464, 680, 483, 699, 499, 715, 515, 731, 531, 747, 547, 763, 563, 779, 579, 795, 595, 811, 611, 827, 627, 843, 641, 857, 648, 864, 647, 863, 639, 855, 625, 841, 609, 825, 593, 809, 577, 793, 561, 777, 545, 761, 529, 745, 513, 729, 497, 713, 480, 696)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 457)(12, 458)(13, 460)(14, 437)(15, 462)(16, 438)(17, 467)(18, 468)(19, 469)(20, 440)(21, 471)(22, 441)(23, 443)(24, 475)(25, 445)(26, 477)(27, 472)(28, 478)(29, 446)(30, 481)(31, 482)(32, 483)(33, 448)(34, 450)(35, 486)(36, 451)(37, 487)(38, 452)(39, 489)(40, 453)(41, 454)(42, 455)(43, 492)(44, 459)(45, 494)(46, 495)(47, 461)(48, 463)(49, 498)(50, 464)(51, 499)(52, 465)(53, 466)(54, 502)(55, 503)(56, 470)(57, 505)(58, 473)(59, 474)(60, 508)(61, 476)(62, 510)(63, 511)(64, 479)(65, 480)(66, 514)(67, 515)(68, 484)(69, 485)(70, 518)(71, 519)(72, 488)(73, 521)(74, 490)(75, 491)(76, 524)(77, 493)(78, 526)(79, 527)(80, 496)(81, 497)(82, 530)(83, 531)(84, 500)(85, 501)(86, 534)(87, 535)(88, 504)(89, 537)(90, 506)(91, 507)(92, 540)(93, 509)(94, 542)(95, 543)(96, 512)(97, 513)(98, 546)(99, 547)(100, 516)(101, 517)(102, 550)(103, 551)(104, 520)(105, 553)(106, 522)(107, 523)(108, 556)(109, 525)(110, 558)(111, 559)(112, 528)(113, 529)(114, 562)(115, 563)(116, 532)(117, 533)(118, 566)(119, 567)(120, 536)(121, 569)(122, 538)(123, 539)(124, 572)(125, 541)(126, 574)(127, 575)(128, 544)(129, 545)(130, 578)(131, 579)(132, 548)(133, 549)(134, 582)(135, 583)(136, 552)(137, 585)(138, 554)(139, 555)(140, 588)(141, 557)(142, 590)(143, 591)(144, 560)(145, 561)(146, 594)(147, 595)(148, 564)(149, 565)(150, 598)(151, 599)(152, 568)(153, 601)(154, 570)(155, 571)(156, 604)(157, 573)(158, 606)(159, 607)(160, 576)(161, 577)(162, 610)(163, 611)(164, 580)(165, 581)(166, 614)(167, 615)(168, 584)(169, 617)(170, 586)(171, 587)(172, 620)(173, 589)(174, 622)(175, 623)(176, 592)(177, 593)(178, 626)(179, 627)(180, 596)(181, 597)(182, 630)(183, 631)(184, 600)(185, 633)(186, 602)(187, 603)(188, 624)(189, 605)(190, 637)(191, 638)(192, 608)(193, 609)(194, 640)(195, 641)(196, 612)(197, 613)(198, 632)(199, 644)(200, 616)(201, 645)(202, 618)(203, 619)(204, 621)(205, 634)(206, 635)(207, 625)(208, 642)(209, 648)(210, 628)(211, 629)(212, 643)(213, 646)(214, 636)(215, 639)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E24.2074
Graph:: bipartite
	v = 62 e = 432 f = 324
	degree seq :: [ 8^54, 54^8 ]

E24.2074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 27})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1, 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^-1 * Y1^-1)^27 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 460, 676)(448, 664, 464, 680)(450, 666, 462, 678)(451, 667, 469, 685)(452, 668, 455, 671)(454, 670, 458, 674)(456, 672, 474, 690)(459, 675, 479, 695)(463, 679, 483, 699)(465, 681, 480, 696)(466, 682, 485, 701)(467, 683, 481, 697)(468, 684, 486, 702)(470, 686, 475, 691)(471, 687, 477, 693)(472, 688, 490, 706)(473, 689, 493, 709)(476, 692, 495, 711)(478, 694, 496, 712)(482, 698, 500, 716)(484, 700, 499, 715)(487, 703, 504, 720)(488, 704, 506, 722)(489, 705, 494, 710)(491, 707, 508, 724)(492, 708, 510, 726)(497, 713, 513, 729)(498, 714, 515, 731)(501, 717, 517, 733)(502, 718, 519, 735)(503, 719, 512, 728)(505, 721, 521, 737)(507, 723, 520, 736)(509, 725, 525, 741)(511, 727, 516, 732)(514, 730, 529, 745)(518, 734, 533, 749)(522, 738, 534, 750)(523, 739, 535, 751)(524, 740, 538, 754)(526, 742, 530, 746)(527, 743, 531, 747)(528, 744, 542, 758)(532, 748, 546, 762)(536, 752, 550, 766)(537, 753, 549, 765)(539, 755, 553, 769)(540, 756, 555, 771)(541, 757, 545, 761)(543, 759, 557, 773)(544, 760, 559, 775)(547, 763, 561, 777)(548, 764, 563, 779)(551, 767, 565, 781)(552, 768, 567, 783)(554, 770, 569, 785)(556, 772, 568, 784)(558, 774, 573, 789)(560, 776, 564, 780)(562, 778, 577, 793)(566, 782, 581, 797)(570, 786, 582, 798)(571, 787, 583, 799)(572, 788, 586, 802)(574, 790, 578, 794)(575, 791, 579, 795)(576, 792, 590, 806)(580, 796, 594, 810)(584, 800, 598, 814)(585, 801, 597, 813)(587, 803, 601, 817)(588, 804, 603, 819)(589, 805, 593, 809)(591, 807, 605, 821)(592, 808, 607, 823)(595, 811, 609, 825)(596, 812, 611, 827)(599, 815, 613, 829)(600, 816, 615, 831)(602, 818, 617, 833)(604, 820, 616, 832)(606, 822, 621, 837)(608, 824, 612, 828)(610, 826, 625, 841)(614, 830, 629, 845)(618, 834, 630, 846)(619, 835, 631, 847)(620, 836, 634, 850)(622, 838, 626, 842)(623, 839, 627, 843)(624, 840, 637, 853)(628, 844, 640, 856)(632, 848, 643, 859)(633, 849, 642, 858)(635, 851, 645, 861)(636, 852, 639, 855)(638, 854, 646, 862)(641, 857, 647, 863)(644, 860, 648, 864)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 463)(16, 439)(17, 466)(18, 468)(19, 470)(20, 441)(21, 471)(22, 442)(23, 473)(24, 443)(25, 476)(26, 478)(27, 480)(28, 445)(29, 481)(30, 446)(31, 453)(32, 484)(33, 448)(34, 452)(35, 449)(36, 488)(37, 483)(38, 490)(39, 491)(40, 454)(41, 461)(42, 494)(43, 456)(44, 460)(45, 457)(46, 498)(47, 493)(48, 500)(49, 501)(50, 462)(51, 503)(52, 504)(53, 464)(54, 465)(55, 467)(56, 507)(57, 469)(58, 509)(59, 510)(60, 472)(61, 512)(62, 513)(63, 474)(64, 475)(65, 477)(66, 516)(67, 479)(68, 518)(69, 519)(70, 482)(71, 485)(72, 521)(73, 486)(74, 487)(75, 524)(76, 489)(77, 526)(78, 527)(79, 492)(80, 495)(81, 529)(82, 496)(83, 497)(84, 532)(85, 499)(86, 534)(87, 535)(88, 502)(89, 537)(90, 505)(91, 506)(92, 540)(93, 508)(94, 542)(95, 543)(96, 511)(97, 545)(98, 514)(99, 515)(100, 548)(101, 517)(102, 550)(103, 551)(104, 520)(105, 553)(106, 522)(107, 523)(108, 556)(109, 525)(110, 558)(111, 559)(112, 528)(113, 561)(114, 530)(115, 531)(116, 564)(117, 533)(118, 566)(119, 567)(120, 536)(121, 569)(122, 538)(123, 539)(124, 572)(125, 541)(126, 574)(127, 575)(128, 544)(129, 577)(130, 546)(131, 547)(132, 580)(133, 549)(134, 582)(135, 583)(136, 552)(137, 585)(138, 554)(139, 555)(140, 588)(141, 557)(142, 590)(143, 591)(144, 560)(145, 593)(146, 562)(147, 563)(148, 596)(149, 565)(150, 598)(151, 599)(152, 568)(153, 601)(154, 570)(155, 571)(156, 604)(157, 573)(158, 606)(159, 607)(160, 576)(161, 609)(162, 578)(163, 579)(164, 612)(165, 581)(166, 614)(167, 615)(168, 584)(169, 617)(170, 586)(171, 587)(172, 620)(173, 589)(174, 622)(175, 623)(176, 592)(177, 625)(178, 594)(179, 595)(180, 628)(181, 597)(182, 630)(183, 631)(184, 600)(185, 633)(186, 602)(187, 603)(188, 624)(189, 605)(190, 637)(191, 638)(192, 608)(193, 639)(194, 610)(195, 611)(196, 632)(197, 613)(198, 643)(199, 644)(200, 616)(201, 645)(202, 618)(203, 619)(204, 621)(205, 635)(206, 634)(207, 647)(208, 626)(209, 627)(210, 629)(211, 641)(212, 640)(213, 646)(214, 636)(215, 648)(216, 642)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 54 ), ( 8, 54, 8, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.2073
Graph:: simple bipartite
	v = 324 e = 432 f = 62
	degree seq :: [ 2^216, 4^108 ]

E24.2075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 27})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|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, Y1^27 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 41, 257, 61, 277, 80, 296, 97, 313, 113, 329, 129, 345, 145, 361, 161, 377, 177, 393, 192, 408, 176, 392, 160, 376, 144, 360, 128, 344, 112, 328, 96, 312, 79, 295, 60, 276, 40, 256, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 51, 267, 71, 287, 89, 305, 105, 321, 121, 337, 137, 353, 153, 369, 169, 385, 185, 401, 200, 416, 194, 410, 178, 394, 165, 381, 147, 363, 130, 346, 117, 333, 99, 315, 81, 297, 65, 281, 43, 259, 24, 240, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 21, 237, 39, 255, 59, 275, 78, 294, 95, 311, 111, 327, 127, 343, 143, 359, 159, 375, 175, 391, 191, 407, 206, 422, 193, 409, 181, 397, 163, 379, 146, 362, 133, 349, 115, 331, 98, 314, 84, 300, 63, 279, 42, 258, 30, 246, 14, 230)(9, 225, 19, 235, 37, 253, 57, 273, 76, 292, 93, 309, 109, 325, 125, 341, 141, 357, 157, 373, 173, 389, 189, 405, 204, 420, 196, 412, 179, 395, 162, 378, 149, 365, 131, 347, 114, 330, 101, 317, 82, 298, 62, 278, 46, 262, 26, 242, 12, 228, 25, 241, 20, 236)(16, 232, 33, 249, 53, 269, 36, 252, 45, 261, 67, 283, 86, 302, 100, 316, 118, 334, 135, 351, 148, 364, 166, 382, 183, 399, 195, 411, 208, 424, 211, 427, 203, 419, 187, 403, 170, 386, 156, 372, 139, 355, 122, 338, 108, 324, 91, 307, 72, 288, 55, 271, 34, 250)(17, 233, 35, 251, 50, 266, 64, 280, 85, 301, 103, 319, 116, 332, 134, 350, 151, 367, 164, 380, 182, 398, 198, 414, 207, 423, 212, 428, 201, 417, 186, 402, 171, 387, 154, 370, 138, 354, 123, 339, 106, 322, 90, 306, 73, 289, 52, 268, 32, 248, 48, 264, 28, 244)(29, 245, 49, 265, 68, 284, 83, 299, 102, 318, 119, 335, 132, 348, 150, 366, 167, 383, 180, 396, 197, 413, 209, 425, 214, 430, 205, 421, 190, 406, 174, 390, 158, 374, 142, 358, 126, 342, 110, 326, 94, 310, 77, 293, 58, 274, 38, 254, 47, 263, 66, 282, 44, 260)(54, 270, 75, 291, 92, 308, 107, 323, 124, 340, 140, 356, 155, 371, 172, 388, 188, 404, 202, 418, 213, 429, 216, 432, 215, 431, 210, 426, 199, 415, 184, 400, 168, 384, 152, 368, 136, 352, 120, 336, 104, 320, 88, 304, 70, 286, 56, 272, 74, 290, 87, 303, 69, 285)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 468)(19, 470)(20, 465)(21, 442)(22, 463)(23, 474)(24, 443)(25, 476)(26, 477)(27, 479)(28, 445)(29, 446)(30, 482)(31, 454)(32, 447)(33, 452)(34, 486)(35, 488)(36, 450)(37, 487)(38, 451)(39, 484)(40, 489)(41, 494)(42, 455)(43, 496)(44, 457)(45, 458)(46, 500)(47, 459)(48, 501)(49, 502)(50, 462)(51, 504)(52, 471)(53, 506)(54, 466)(55, 469)(56, 467)(57, 472)(58, 507)(59, 509)(60, 510)(61, 513)(62, 473)(63, 515)(64, 475)(65, 518)(66, 519)(67, 520)(68, 478)(69, 480)(70, 481)(71, 522)(72, 483)(73, 524)(74, 485)(75, 490)(76, 526)(77, 491)(78, 492)(79, 521)(80, 530)(81, 493)(82, 532)(83, 495)(84, 535)(85, 536)(86, 497)(87, 498)(88, 499)(89, 511)(90, 503)(91, 539)(92, 505)(93, 540)(94, 508)(95, 538)(96, 541)(97, 546)(98, 512)(99, 548)(100, 514)(101, 551)(102, 552)(103, 516)(104, 517)(105, 554)(106, 527)(107, 523)(108, 525)(109, 528)(110, 556)(111, 558)(112, 559)(113, 562)(114, 529)(115, 564)(116, 531)(117, 567)(118, 568)(119, 533)(120, 534)(121, 570)(122, 537)(123, 572)(124, 542)(125, 574)(126, 543)(127, 544)(128, 569)(129, 578)(130, 545)(131, 580)(132, 547)(133, 583)(134, 584)(135, 549)(136, 550)(137, 560)(138, 553)(139, 587)(140, 555)(141, 588)(142, 557)(143, 586)(144, 589)(145, 594)(146, 561)(147, 596)(148, 563)(149, 599)(150, 600)(151, 565)(152, 566)(153, 602)(154, 575)(155, 571)(156, 573)(157, 576)(158, 604)(159, 606)(160, 607)(161, 610)(162, 577)(163, 612)(164, 579)(165, 615)(166, 616)(167, 581)(168, 582)(169, 618)(170, 585)(171, 620)(172, 590)(173, 622)(174, 591)(175, 592)(176, 617)(177, 625)(178, 593)(179, 627)(180, 595)(181, 630)(182, 631)(183, 597)(184, 598)(185, 608)(186, 601)(187, 634)(188, 603)(189, 635)(190, 605)(191, 633)(192, 636)(193, 609)(194, 639)(195, 611)(196, 641)(197, 642)(198, 613)(199, 614)(200, 643)(201, 623)(202, 619)(203, 621)(204, 624)(205, 645)(206, 646)(207, 626)(208, 647)(209, 628)(210, 629)(211, 632)(212, 648)(213, 637)(214, 638)(215, 640)(216, 644)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E24.2072
Graph:: simple bipartite
	v = 224 e = 432 f = 162
	degree seq :: [ 2^216, 54^8 ]

E24.2076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 27})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, 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, Y2^27 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 28, 244)(16, 232, 32, 248)(18, 234, 30, 246)(19, 235, 37, 253)(20, 236, 23, 239)(22, 238, 26, 242)(24, 240, 42, 258)(27, 243, 47, 263)(31, 247, 51, 267)(33, 249, 48, 264)(34, 250, 53, 269)(35, 251, 49, 265)(36, 252, 54, 270)(38, 254, 43, 259)(39, 255, 45, 261)(40, 256, 58, 274)(41, 257, 61, 277)(44, 260, 63, 279)(46, 262, 64, 280)(50, 266, 68, 284)(52, 268, 67, 283)(55, 271, 72, 288)(56, 272, 74, 290)(57, 273, 62, 278)(59, 275, 76, 292)(60, 276, 78, 294)(65, 281, 81, 297)(66, 282, 83, 299)(69, 285, 85, 301)(70, 286, 87, 303)(71, 287, 80, 296)(73, 289, 89, 305)(75, 291, 88, 304)(77, 293, 93, 309)(79, 295, 84, 300)(82, 298, 97, 313)(86, 302, 101, 317)(90, 306, 102, 318)(91, 307, 103, 319)(92, 308, 106, 322)(94, 310, 98, 314)(95, 311, 99, 315)(96, 312, 110, 326)(100, 316, 114, 330)(104, 320, 118, 334)(105, 321, 117, 333)(107, 323, 121, 337)(108, 324, 123, 339)(109, 325, 113, 329)(111, 327, 125, 341)(112, 328, 127, 343)(115, 331, 129, 345)(116, 332, 131, 347)(119, 335, 133, 349)(120, 336, 135, 351)(122, 338, 137, 353)(124, 340, 136, 352)(126, 342, 141, 357)(128, 344, 132, 348)(130, 346, 145, 361)(134, 350, 149, 365)(138, 354, 150, 366)(139, 355, 151, 367)(140, 356, 154, 370)(142, 358, 146, 362)(143, 359, 147, 363)(144, 360, 158, 374)(148, 364, 162, 378)(152, 368, 166, 382)(153, 369, 165, 381)(155, 371, 169, 385)(156, 372, 171, 387)(157, 373, 161, 377)(159, 375, 173, 389)(160, 376, 175, 391)(163, 379, 177, 393)(164, 380, 179, 395)(167, 383, 181, 397)(168, 384, 183, 399)(170, 386, 185, 401)(172, 388, 184, 400)(174, 390, 189, 405)(176, 392, 180, 396)(178, 394, 193, 409)(182, 398, 197, 413)(186, 402, 198, 414)(187, 403, 199, 415)(188, 404, 202, 418)(190, 406, 194, 410)(191, 407, 195, 411)(192, 408, 205, 421)(196, 412, 208, 424)(200, 416, 211, 427)(201, 417, 210, 426)(203, 419, 213, 429)(204, 420, 207, 423)(206, 422, 214, 430)(209, 425, 215, 431)(212, 428, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 468, 684, 488, 704, 507, 723, 524, 740, 540, 756, 556, 772, 572, 788, 588, 804, 604, 820, 620, 836, 624, 840, 608, 824, 592, 808, 576, 792, 560, 776, 544, 760, 528, 744, 511, 727, 492, 708, 472, 688, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 478, 694, 498, 714, 516, 732, 532, 748, 548, 764, 564, 780, 580, 796, 596, 812, 612, 828, 628, 844, 632, 848, 616, 832, 600, 816, 584, 800, 568, 784, 552, 768, 536, 752, 520, 736, 502, 718, 482, 698, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 463, 679, 453, 669, 471, 687, 491, 707, 510, 726, 527, 743, 543, 759, 559, 775, 575, 791, 591, 807, 607, 823, 623, 839, 638, 854, 634, 850, 618, 834, 602, 818, 586, 802, 570, 786, 554, 770, 538, 754, 522, 738, 505, 721, 486, 702, 465, 681, 448, 664)(441, 657, 451, 667, 470, 686, 490, 706, 509, 725, 526, 742, 542, 758, 558, 774, 574, 790, 590, 806, 606, 822, 622, 838, 637, 853, 635, 851, 619, 835, 603, 819, 587, 803, 571, 787, 555, 771, 539, 755, 523, 739, 506, 722, 487, 703, 467, 683, 449, 665, 466, 682, 452, 668)(443, 659, 455, 671, 473, 689, 461, 677, 481, 697, 501, 717, 519, 735, 535, 751, 551, 767, 567, 783, 583, 799, 599, 815, 615, 831, 631, 847, 644, 860, 640, 856, 626, 842, 610, 826, 594, 810, 578, 794, 562, 778, 546, 762, 530, 746, 514, 730, 496, 712, 475, 691, 456, 672)(445, 661, 459, 675, 480, 696, 500, 716, 518, 734, 534, 750, 550, 766, 566, 782, 582, 798, 598, 814, 614, 830, 630, 846, 643, 859, 641, 857, 627, 843, 611, 827, 595, 811, 579, 795, 563, 779, 547, 763, 531, 747, 515, 731, 497, 713, 477, 693, 457, 673, 476, 692, 460, 676)(464, 680, 484, 700, 504, 720, 521, 737, 537, 753, 553, 769, 569, 785, 585, 801, 601, 817, 617, 833, 633, 849, 645, 861, 646, 862, 636, 852, 621, 837, 605, 821, 589, 805, 573, 789, 557, 773, 541, 757, 525, 741, 508, 724, 489, 705, 469, 685, 483, 699, 503, 719, 485, 701)(474, 690, 494, 710, 513, 729, 529, 745, 545, 761, 561, 777, 577, 793, 593, 809, 609, 825, 625, 841, 639, 855, 647, 863, 648, 864, 642, 858, 629, 845, 613, 829, 597, 813, 581, 797, 565, 781, 549, 765, 533, 749, 517, 733, 499, 715, 479, 695, 493, 709, 512, 728, 495, 711)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 460)(16, 464)(17, 440)(18, 462)(19, 469)(20, 455)(21, 442)(22, 458)(23, 452)(24, 474)(25, 444)(26, 454)(27, 479)(28, 447)(29, 446)(30, 450)(31, 483)(32, 448)(33, 480)(34, 485)(35, 481)(36, 486)(37, 451)(38, 475)(39, 477)(40, 490)(41, 493)(42, 456)(43, 470)(44, 495)(45, 471)(46, 496)(47, 459)(48, 465)(49, 467)(50, 500)(51, 463)(52, 499)(53, 466)(54, 468)(55, 504)(56, 506)(57, 494)(58, 472)(59, 508)(60, 510)(61, 473)(62, 489)(63, 476)(64, 478)(65, 513)(66, 515)(67, 484)(68, 482)(69, 517)(70, 519)(71, 512)(72, 487)(73, 521)(74, 488)(75, 520)(76, 491)(77, 525)(78, 492)(79, 516)(80, 503)(81, 497)(82, 529)(83, 498)(84, 511)(85, 501)(86, 533)(87, 502)(88, 507)(89, 505)(90, 534)(91, 535)(92, 538)(93, 509)(94, 530)(95, 531)(96, 542)(97, 514)(98, 526)(99, 527)(100, 546)(101, 518)(102, 522)(103, 523)(104, 550)(105, 549)(106, 524)(107, 553)(108, 555)(109, 545)(110, 528)(111, 557)(112, 559)(113, 541)(114, 532)(115, 561)(116, 563)(117, 537)(118, 536)(119, 565)(120, 567)(121, 539)(122, 569)(123, 540)(124, 568)(125, 543)(126, 573)(127, 544)(128, 564)(129, 547)(130, 577)(131, 548)(132, 560)(133, 551)(134, 581)(135, 552)(136, 556)(137, 554)(138, 582)(139, 583)(140, 586)(141, 558)(142, 578)(143, 579)(144, 590)(145, 562)(146, 574)(147, 575)(148, 594)(149, 566)(150, 570)(151, 571)(152, 598)(153, 597)(154, 572)(155, 601)(156, 603)(157, 593)(158, 576)(159, 605)(160, 607)(161, 589)(162, 580)(163, 609)(164, 611)(165, 585)(166, 584)(167, 613)(168, 615)(169, 587)(170, 617)(171, 588)(172, 616)(173, 591)(174, 621)(175, 592)(176, 612)(177, 595)(178, 625)(179, 596)(180, 608)(181, 599)(182, 629)(183, 600)(184, 604)(185, 602)(186, 630)(187, 631)(188, 634)(189, 606)(190, 626)(191, 627)(192, 637)(193, 610)(194, 622)(195, 623)(196, 640)(197, 614)(198, 618)(199, 619)(200, 643)(201, 642)(202, 620)(203, 645)(204, 639)(205, 624)(206, 646)(207, 636)(208, 628)(209, 647)(210, 633)(211, 632)(212, 648)(213, 635)(214, 638)(215, 641)(216, 644)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E24.2077
Graph:: bipartite
	v = 116 e = 432 f = 270
	degree seq :: [ 4^108, 54^8 ]

E24.2077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 27})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^27 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 31, 247, 15, 231)(10, 226, 23, 239, 37, 253, 20, 236)(12, 228, 16, 232, 32, 248, 27, 243)(14, 230, 26, 242, 44, 260, 28, 244)(17, 233, 34, 250, 51, 267, 33, 249)(22, 238, 30, 246, 48, 264, 39, 255)(24, 240, 38, 254, 49, 265, 41, 257)(25, 241, 40, 256, 50, 266, 36, 252)(29, 245, 35, 251, 52, 268, 45, 261)(42, 258, 57, 273, 65, 281, 55, 271)(43, 259, 58, 274, 73, 289, 59, 275)(46, 262, 61, 277, 67, 283, 53, 269)(47, 263, 63, 279, 69, 285, 54, 270)(56, 272, 71, 287, 81, 297, 66, 282)(60, 276, 75, 291, 87, 303, 72, 288)(62, 278, 68, 284, 83, 299, 77, 293)(64, 280, 78, 294, 93, 309, 79, 295)(70, 286, 85, 301, 99, 315, 84, 300)(74, 290, 82, 298, 97, 313, 89, 305)(76, 292, 88, 304, 98, 314, 90, 306)(80, 296, 86, 302, 100, 316, 94, 310)(91, 307, 105, 321, 113, 329, 103, 319)(92, 308, 106, 322, 121, 337, 107, 323)(95, 311, 109, 325, 115, 331, 101, 317)(96, 312, 111, 327, 117, 333, 102, 318)(104, 320, 119, 335, 129, 345, 114, 330)(108, 324, 123, 339, 135, 351, 120, 336)(110, 326, 116, 332, 131, 347, 125, 341)(112, 328, 126, 342, 141, 357, 127, 343)(118, 334, 133, 349, 147, 363, 132, 348)(122, 338, 130, 346, 145, 361, 137, 353)(124, 340, 136, 352, 146, 362, 138, 354)(128, 344, 134, 350, 148, 364, 142, 358)(139, 355, 153, 369, 161, 377, 151, 367)(140, 356, 154, 370, 169, 385, 155, 371)(143, 359, 157, 373, 163, 379, 149, 365)(144, 360, 159, 375, 165, 381, 150, 366)(152, 368, 167, 383, 177, 393, 162, 378)(156, 372, 171, 387, 183, 399, 168, 384)(158, 374, 164, 380, 179, 395, 173, 389)(160, 376, 174, 390, 189, 405, 175, 391)(166, 382, 181, 397, 195, 411, 180, 396)(170, 386, 178, 394, 193, 409, 185, 401)(172, 388, 184, 400, 194, 410, 186, 402)(176, 392, 182, 398, 196, 412, 190, 406)(187, 403, 201, 417, 207, 423, 199, 415)(188, 404, 202, 418, 213, 429, 203, 419)(191, 407, 204, 420, 209, 425, 197, 413)(192, 408, 206, 422, 211, 427, 198, 414)(200, 416, 212, 428, 215, 431, 208, 424)(205, 421, 210, 426, 216, 432, 214, 430)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 457)(12, 458)(13, 460)(14, 437)(15, 462)(16, 438)(17, 467)(18, 468)(19, 469)(20, 440)(21, 471)(22, 441)(23, 443)(24, 475)(25, 445)(26, 477)(27, 472)(28, 478)(29, 446)(30, 481)(31, 482)(32, 483)(33, 448)(34, 450)(35, 486)(36, 451)(37, 487)(38, 452)(39, 489)(40, 453)(41, 454)(42, 455)(43, 492)(44, 459)(45, 494)(46, 495)(47, 461)(48, 463)(49, 498)(50, 464)(51, 499)(52, 465)(53, 466)(54, 502)(55, 503)(56, 470)(57, 505)(58, 473)(59, 474)(60, 508)(61, 476)(62, 510)(63, 511)(64, 479)(65, 480)(66, 514)(67, 515)(68, 484)(69, 485)(70, 518)(71, 519)(72, 488)(73, 521)(74, 490)(75, 491)(76, 524)(77, 493)(78, 526)(79, 527)(80, 496)(81, 497)(82, 530)(83, 531)(84, 500)(85, 501)(86, 534)(87, 535)(88, 504)(89, 537)(90, 506)(91, 507)(92, 540)(93, 509)(94, 542)(95, 543)(96, 512)(97, 513)(98, 546)(99, 547)(100, 516)(101, 517)(102, 550)(103, 551)(104, 520)(105, 553)(106, 522)(107, 523)(108, 556)(109, 525)(110, 558)(111, 559)(112, 528)(113, 529)(114, 562)(115, 563)(116, 532)(117, 533)(118, 566)(119, 567)(120, 536)(121, 569)(122, 538)(123, 539)(124, 572)(125, 541)(126, 574)(127, 575)(128, 544)(129, 545)(130, 578)(131, 579)(132, 548)(133, 549)(134, 582)(135, 583)(136, 552)(137, 585)(138, 554)(139, 555)(140, 588)(141, 557)(142, 590)(143, 591)(144, 560)(145, 561)(146, 594)(147, 595)(148, 564)(149, 565)(150, 598)(151, 599)(152, 568)(153, 601)(154, 570)(155, 571)(156, 604)(157, 573)(158, 606)(159, 607)(160, 576)(161, 577)(162, 610)(163, 611)(164, 580)(165, 581)(166, 614)(167, 615)(168, 584)(169, 617)(170, 586)(171, 587)(172, 620)(173, 589)(174, 622)(175, 623)(176, 592)(177, 593)(178, 626)(179, 627)(180, 596)(181, 597)(182, 630)(183, 631)(184, 600)(185, 633)(186, 602)(187, 603)(188, 624)(189, 605)(190, 637)(191, 638)(192, 608)(193, 609)(194, 640)(195, 641)(196, 612)(197, 613)(198, 632)(199, 644)(200, 616)(201, 645)(202, 618)(203, 619)(204, 621)(205, 634)(206, 635)(207, 625)(208, 642)(209, 648)(210, 628)(211, 629)(212, 643)(213, 646)(214, 636)(215, 639)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E24.2076
Graph:: simple bipartite
	v = 270 e = 432 f = 116
	degree seq :: [ 2^216, 8^54 ]

## Checksum: 2077 records.
## Written on: Sun Oct 20 22:43:52 CEST 2019